1 /* automatically generated by float-auto.sh, do not edit! */
2 
3 #include <tme/common.h>
4 _TME_RCSID("$Id: float-auto.sh,v 1.2 2007/08/24 00:55:33 fredette Exp $");
5 
6 /* includes: */
7 #include <tme/generic/float.h>
8 
9 
10 /* if possible, this returns a positive or negative infinity
11    float, otherwise, this returns the float value
12    closest to that infinity: */
13 float
tme_float_infinity_float(int negative)14 tme_float_infinity_float(int negative)
15 {
16   static int inf_set_float;
17   static float inf_float[2];
18   float inf_test;
19   int negative_i;
20 
21   /* make sure that negative can index the inf_float array: */
22   negative = !!negative;
23 
24   /* if the float infinities have already been set: */
25   if (__tme_predict_true(inf_set_float)) {
26     return (inf_float[negative]);
27   }
28 
29   /* the float infinities will be set now: */
30   inf_set_float = TRUE;
31 
32   /* set the positive and negative infinities: */
33   for (negative_i = 0; negative_i < 2; negative_i++) {
34 
35     /* start with the limit maximum positive value or limit minimum
36        negative value.  double this value until either it doesn't
37        change or it isn't closer to the desired infinity, and then
38        use the previous value: */
39     inf_test = FLOAT_MAX_FLOAT;
40     if (negative_i) {
41       inf_test = -inf_test;
42     }
43     do {
44       memcpy((char *) &inf_float[negative_i], (char *) &inf_test, sizeof(inf_test));
45       inf_test *= 2;
46     } while (memcmp((char *) &inf_float[negative_i], (char *) &inf_test, sizeof(inf_test)) != 0
47              && (negative_i
48                  ? inf_test < inf_float[negative_i]
49                  : inf_test > inf_float[negative_i]));
50 
51     /* try to generate the actual infinity by dividing one or negative
52        one by zero.  if this value is closer to the desired infinity,
53        use it: */
54     inf_test = (negative_i ? -1.0 : 1.0) / 0.0;
55     if (negative_i
56         ? inf_test < inf_float[negative_i]
57         : inf_test > inf_float[negative_i]) {
58       inf_float[negative_i] = inf_test;
59     }
60   }
61 
62   /* return the desired infinity: */
63   return (inf_float[negative]);
64 }
65 
66 /* if possible, this returns a negative zero float.
67    otherwise, this returns the negative float value closest
68    to zero: */
69 float
tme_float_negative_zero_float(void)70 tme_float_negative_zero_float(void)
71 {
72   static int nzero_set_float;
73   static float nzero_float;
74   float constant_pzero;
75   float constant_nzero;
76   float nzero_test;
77 
78   /* if the float negative zero has already been set: */
79   if (__tme_predict_true(nzero_set_float)) {
80     return (nzero_float);
81   }
82 
83   /* the float negative zero will be set now: */
84   nzero_set_float = TRUE;
85 
86   /* make a +0.0 and a -0.0, that we can do bit-for-bit comparisons with.
87      NB that sizeof(float) may cover more bits than are actually
88      used by a float: */
89   memset((char *) &constant_pzero, 0, sizeof(constant_pzero));
90   memset((char *) &constant_nzero, 0, sizeof(constant_nzero));
91   constant_pzero = +0.0;
92   constant_nzero = -0.0;
93 
94   /* if -0.0 * -0.0 is bit-for-bit different from -0.0 and is
95      bit-for-bit identical to +0.0, use -0.0: */
96   memset((char *) &nzero_test, 0, sizeof(nzero_test));
97   nzero_test = constant_nzero * constant_nzero;
98   if (memcmp((char *) &constant_nzero, (char *) &nzero_test, sizeof(nzero_test)) != 0
99       && memcmp((char *) &constant_pzero, (char *) &nzero_test, sizeof(nzero_test)) == 0) {
100     return (nzero_float = constant_nzero);
101   }
102 
103   /* otherwise, start with the limit maximum negative value (which is
104      zero minus the limit minimum positive value).  halve this value
105      until either it doesn't change or it becomes positive zero, and
106      then use the previous value: */
107   nzero_test = 0 - FLOAT_MIN_FLOAT;
108   do {
109     memcpy((char *) &nzero_float, (char *) &nzero_test, sizeof(nzero_test));
110     nzero_test = nzero_test / 2;
111   } while (memcmp((char *) &nzero_float, (char *) &nzero_test, sizeof(nzero_test)) != 0
112 	   && memcmp((char *) &constant_pzero, (char *) &nzero_test, sizeof(nzero_test)) != 0);
113   return (nzero_float);
114 }
115 
116 /* a series of float values of the form 2^x, where x is a power of two: */
117 static const float _tme_float_radix2_exponent_bits_float_pos[] = {
118 
119   /* 2^1: */
120   (1 * ((float) ((tme_uint32_t) 2))),
121 
122   /* 2^2: */
123   (1 * ((float) ((tme_uint32_t) 4))),
124 
125   /* 2^4: */
126   (1 * ((float) ((tme_uint32_t) 16))),
127 
128   /* 2^8: */
129   (1 * ((float) ((tme_uint32_t) 256))),
130 
131   /* 2^16: */
132   (1 * ((float) ((tme_uint32_t) 65536))),
133 
134 #if ((TME_FLOAT_FORMAT_FLOAT & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE | TME_FLOAT_FORMAT_IEEE754_SINGLE)) != 0)
135 
136   /* 2^32: */
137   ((1 * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 256))),
138 
139   /* 2^64: */
140   (((1 * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 65536))),
141 
142 #endif /* ((TME_FLOAT_FORMAT_FLOAT & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE | TME_FLOAT_FORMAT_IEEE754_SINGLE)) != 0) */
143 
144 #if ((TME_FLOAT_FORMAT_FLOAT & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE)) != 0)
145 
146   /* 2^128: */
147   ((((((1 * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 256))),
148 
149   /* 2^256: */
150   (((((((((((1 * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 65536))),
151 
152   /* 2^512: */
153   ((((((((((((((((((((((1 * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 256))),
154 
155 #endif /* ((TME_FLOAT_FORMAT_FLOAT & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE)) != 0) */
156 
157 #if ((TME_FLOAT_FORMAT_FLOAT & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80)) != 0)
158 
159   /* 2^1024: */
160   (((((((((((((((((((((((((((((((((((((((((((1 * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 65536))),
161 
162   /* 2^2048: */
163   ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((1 * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 256))),
164 
165   /* 2^4096: */
166   (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((1 * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 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167 
168   /* 2^8192: */
169   ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((1 * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 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16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) 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16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 16777216))) * ((float) ((tme_uint32_t) 256))),
170 
171 #endif /* ((TME_FLOAT_FORMAT_FLOAT & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80)) != 0) */
172 };
173 
174 /* a series of float values of the form 2^-x, where x is a power of two: */
175 static const float _tme_float_radix2_exponent_bits_float_neg[] = {
176 
177   /* 2^-1: */
178   (1 / ((float) ((tme_uint32_t) 2))),
179 
180   /* 2^-2: */
181   (1 / ((float) ((tme_uint32_t) 4))),
182 
183   /* 2^-4: */
184   (1 / ((float) ((tme_uint32_t) 16))),
185 
186   /* 2^-8: */
187   (1 / ((float) ((tme_uint32_t) 256))),
188 
189   /* 2^-16: */
190   (1 / ((float) ((tme_uint32_t) 65536))),
191 
192 #if ((TME_FLOAT_FORMAT_FLOAT & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE | TME_FLOAT_FORMAT_IEEE754_SINGLE)) != 0)
193 
194   /* 2^-32: */
195   ((1 / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 256))),
196 
197   /* 2^-64: */
198   (((1 / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 65536))),
199 
200 #endif /* ((TME_FLOAT_FORMAT_FLOAT & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE | TME_FLOAT_FORMAT_IEEE754_SINGLE)) != 0) */
201 
202 #if ((TME_FLOAT_FORMAT_FLOAT & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE)) != 0)
203 
204   /* 2^-128: */
205   ((((((1 / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 256))),
206 
207   /* 2^-256: */
208   (((((((((((1 / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 65536))),
209 
210   /* 2^-512: */
211   ((((((((((((((((((((((1 / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 256))),
212 
213 #endif /* ((TME_FLOAT_FORMAT_FLOAT & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE)) != 0) */
214 
215 #if ((TME_FLOAT_FORMAT_FLOAT & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80)) != 0)
216 
217   /* 2^-1024: */
218   (((((((((((((((((((((((((((((((((((((((((((1 / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 65536))),
219 
220   /* 2^-2048: */
221   ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((1 / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 256))),
222 
223   /* 2^-4096: */
224   (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((1 / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 65536))),
225 
226   /* 2^-8192: */
227   ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((1 / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 16777216))) / ((float) ((tme_uint32_t) 256))),
228 
229 #endif /* ((TME_FLOAT_FORMAT_FLOAT & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80)) != 0) */
230 };
231 
232 /* this returns the radix 2 mantissa and exponent of an in-range float.
233    the mantissa is either zero, or in the range [1,2): */
234 float
tme_float_radix2_mantissa_exponent_float(float value,tme_int32_t * _exponent)235 tme_float_radix2_mantissa_exponent_float(float value, tme_int32_t *_exponent)
236 {
237   tme_int32_t exponent;
238   tme_uint32_t exponent_bit;
239   int negate;
240 
241   /* start with an exponent of zero: */
242   exponent = 0;
243 
244   /* if the value is positive or negative zero, return the value: */
245   if (value == 0.0
246       || -value == 0.0) {
247     *_exponent = exponent;
248     return (value);
249   }
250 
251   /* take the magnitude of the value, but remember if it was negative: */
252   negate = (value < 0);
253   if (negate) {
254     value = 0 - value;
255   }
256 
257   /* while the value is less than one: */
258   exponent_bit = TME_ARRAY_ELS(_tme_float_radix2_exponent_bits_float_neg) - 1;
259   for (; value < 1; ) {
260 
261     /* if value is less than or equal to 2^-(2^exponent_bit),
262        divide value by 2^-(2^exponent_bit), and subtract 2^exponent_bit
263        from exponent: */
264     if (value <= _tme_float_radix2_exponent_bits_float_neg[exponent_bit]
265         || exponent_bit == 0) {
266       value /= _tme_float_radix2_exponent_bits_float_neg[exponent_bit];
267       exponent -= (1 << exponent_bit);
268     }
269 
270     /* otherwise, move to the next exponent bit: */
271     else {
272       exponent_bit--;
273     }
274   }
275 
276   /* while the value is greater than or equal to 2: */
277   exponent_bit = TME_ARRAY_ELS(_tme_float_radix2_exponent_bits_float_pos) - 1;
278   for (; value >= 2; ) {
279 
280     /* if value is greater than or equal to 2^(2^exponent_bit),
281        divide value by 2^(2^exponent_bit), and add 2^exponent_bit
282        to exponent: */
283     if (value >= _tme_float_radix2_exponent_bits_float_pos[exponent_bit]
284         || exponent_bit == 0) {
285       value /= _tme_float_radix2_exponent_bits_float_pos[exponent_bit];
286       exponent += (1 << exponent_bit);
287     }
288 
289     /* otherwise, move to the next exponent bit: */
290     else {
291       exponent_bit--;
292     }
293   }
294 
295   /* done: */
296   *_exponent = exponent;
297   return (negate ? 0 - value : value);
298 }
299 
300 /* this scales a value by adding n to its exponent: */
301 float
tme_float_radix2_scale_float(float value,tme_int32_t _n)302 tme_float_radix2_scale_float(float value, tme_int32_t _n)
303 {
304   tme_uint32_t exponent_bit, exponent;
305   tme_uint32_t n;
306 
307   /* start with the most significant exponent bit: */
308   exponent_bit = TME_ARRAY_ELS(_tme_float_radix2_exponent_bits_float_pos) - 1;
309   exponent = (1 << exponent_bit);
310 
311   /* if n is negative: */
312   if (_n < 0) {
313 
314     for (n = 0 - _n; n > 0;) {
315       if (n >= exponent || exponent == 1) {
316         value /= _tme_float_radix2_exponent_bits_float_pos[exponent_bit];
317         n -= exponent;
318       }
319       else {
320         exponent >>= 1;
321         exponent_bit--;
322       }
323     }
324   }
325 
326   /* otherwise, n is positive: */
327   else {
328     for (n = _n; n > 0;) {
329       if (n >= exponent || exponent == 1) {
330         value *= _tme_float_radix2_exponent_bits_float_pos[exponent_bit];
331         n -= exponent;
332       }
333       else {
334         exponent >>= 1;
335         exponent_bit--;
336       }
337     }
338   }
339 
340   return (value);
341 }
342 
343 /* a series of float values of the form 10^x, where x is a power of two: */
344 static const float _tme_float_radix10_exponent_bits_float_pos[] = {
345 
346   /* 10^1: */
347   (1 * ((float) ((tme_uint32_t) 10))),
348 
349   /* 10^2: */
350   (1 * ((float) ((tme_uint32_t) 100))),
351 
352   /* 10^4: */
353   (1 * ((float) ((tme_uint32_t) 10000))),
354 
355 #if ((TME_FLOAT_FORMAT_FLOAT & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE | TME_FLOAT_FORMAT_IEEE754_SINGLE)) != 0)
356 
357   /* 10^8: */
358   ((1 * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))),
359 
360   /* 10^16: */
361   ((((1 * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))),
362 
363 #endif /* ((TME_FLOAT_FORMAT_FLOAT & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE | TME_FLOAT_FORMAT_IEEE754_SINGLE)) != 0) */
364 
365 #if ((TME_FLOAT_FORMAT_FLOAT & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE)) != 0)
366 
367   /* 10^32: */
368   ((((((((1 * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))),
369 
370   /* 10^64: */
371   ((((((((((((((((1 * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))),
372 
373   /* 10^128: */
374   ((((((((((((((((((((((((((((((((1 * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))),
375 
376 #endif /* ((TME_FLOAT_FORMAT_FLOAT & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE)) != 0) */
377 
378 #if ((TME_FLOAT_FORMAT_FLOAT & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80)) != 0)
379 
380   /* 10^256: */
381   ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((1 * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))),
382 
383   /* 10^512: */
384   ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((1 * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))),
385 
386   /* 10^1024: */
387   ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((1 * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))),
388 
389   /* 10^2048: */
390   ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((1 * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) 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10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) 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((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))) * ((float) ((tme_uint32_t) 10000))),
391 
392 #endif /* ((TME_FLOAT_FORMAT_FLOAT & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80)) != 0) */
393 };
394 
395 /* a series of float values of the form 10^-x, where x is a power of two: */
396 static const float _tme_float_radix10_exponent_bits_float_neg[] = {
397 
398   /* 10^-1: */
399   (1 / ((float) ((tme_uint32_t) 10))),
400 
401   /* 10^-2: */
402   (1 / ((float) ((tme_uint32_t) 100))),
403 
404   /* 10^-4: */
405   (1 / ((float) ((tme_uint32_t) 10000))),
406 
407 #if ((TME_FLOAT_FORMAT_FLOAT & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE | TME_FLOAT_FORMAT_IEEE754_SINGLE)) != 0)
408 
409   /* 10^-8: */
410   ((1 / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))),
411 
412   /* 10^-16: */
413   ((((1 / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))),
414 
415 #endif /* ((TME_FLOAT_FORMAT_FLOAT & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE | TME_FLOAT_FORMAT_IEEE754_SINGLE)) != 0) */
416 
417 #if ((TME_FLOAT_FORMAT_FLOAT & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE)) != 0)
418 
419   /* 10^-32: */
420   ((((((((1 / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))),
421 
422   /* 10^-64: */
423   ((((((((((((((((1 / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))),
424 
425   /* 10^-128: */
426   ((((((((((((((((((((((((((((((((1 / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))),
427 
428 #endif /* ((TME_FLOAT_FORMAT_FLOAT & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE)) != 0) */
429 
430 #if ((TME_FLOAT_FORMAT_FLOAT & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80)) != 0)
431 
432   /* 10^-256: */
433   ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((1 / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))),
434 
435   /* 10^-512: */
436   ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((1 / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))),
437 
438   /* 10^-1024: */
439   ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((1 / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 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((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))),
440 
441   /* 10^-2048: */
442   ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((1 / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) 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10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) 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10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) 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((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))) / ((float) ((tme_uint32_t) 10000))),
443 
444 #endif /* ((TME_FLOAT_FORMAT_FLOAT & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80)) != 0) */
445 };
446 
447 /* this returns the radix 10 mantissa and exponent of an in-range float.
448    the mantissa is either zero, or in the range [1,10): */
449 float
tme_float_radix10_mantissa_exponent_float(float value,tme_int32_t * _exponent)450 tme_float_radix10_mantissa_exponent_float(float value, tme_int32_t *_exponent)
451 {
452   tme_int32_t exponent;
453   tme_uint32_t exponent_bit;
454   int negate;
455 
456   /* start with an exponent of zero: */
457   exponent = 0;
458 
459   /* if the value is positive or negative zero, return the value: */
460   if (value == 0.0
461       || -value == 0.0) {
462     *_exponent = exponent;
463     return (value);
464   }
465 
466   /* take the magnitude of the value, but remember if it was negative: */
467   negate = (value < 0);
468   if (negate) {
469     value = 0 - value;
470   }
471 
472   /* while the value is less than one: */
473   exponent_bit = TME_ARRAY_ELS(_tme_float_radix10_exponent_bits_float_neg) - 1;
474   for (; value < 1; ) {
475 
476     /* if value is less than or equal to 10^-(2^exponent_bit),
477        divide value by 10^-(2^exponent_bit), and subtract 2^exponent_bit
478        from exponent: */
479     if (value <= _tme_float_radix10_exponent_bits_float_neg[exponent_bit]
480         || exponent_bit == 0) {
481       value /= _tme_float_radix10_exponent_bits_float_neg[exponent_bit];
482       exponent -= (1 << exponent_bit);
483     }
484 
485     /* otherwise, move to the next exponent bit: */
486     else {
487       exponent_bit--;
488     }
489   }
490 
491   /* while the value is greater than or equal to 10: */
492   exponent_bit = TME_ARRAY_ELS(_tme_float_radix10_exponent_bits_float_pos) - 1;
493   for (; value >= 10; ) {
494 
495     /* if value is greater than or equal to 10^(2^exponent_bit),
496        divide value by 10^(2^exponent_bit), and add 2^exponent_bit
497        to exponent: */
498     if (value >= _tme_float_radix10_exponent_bits_float_pos[exponent_bit]
499         || exponent_bit == 0) {
500       value /= _tme_float_radix10_exponent_bits_float_pos[exponent_bit];
501       exponent += (1 << exponent_bit);
502     }
503 
504     /* otherwise, move to the next exponent bit: */
505     else {
506       exponent_bit--;
507     }
508   }
509 
510   /* done: */
511   *_exponent = exponent;
512   return (negate ? 0 - value : value);
513 }
514 
515 /* this scales a value by adding n to its exponent: */
516 float
tme_float_radix10_scale_float(float value,tme_int32_t _n)517 tme_float_radix10_scale_float(float value, tme_int32_t _n)
518 {
519   tme_uint32_t exponent_bit, exponent;
520   tme_uint32_t n;
521 
522   /* start with the most significant exponent bit: */
523   exponent_bit = TME_ARRAY_ELS(_tme_float_radix10_exponent_bits_float_pos) - 1;
524   exponent = (1 << exponent_bit);
525 
526   /* if n is negative: */
527   if (_n < 0) {
528 
529     for (n = 0 - _n; n > 0;) {
530       if (n >= exponent || exponent == 1) {
531         value /= _tme_float_radix10_exponent_bits_float_pos[exponent_bit];
532         n -= exponent;
533       }
534       else {
535         exponent >>= 1;
536         exponent_bit--;
537       }
538     }
539   }
540 
541   /* otherwise, n is positive: */
542   else {
543     for (n = _n; n > 0;) {
544       if (n >= exponent || exponent == 1) {
545         value *= _tme_float_radix10_exponent_bits_float_pos[exponent_bit];
546         n -= exponent;
547       }
548       else {
549         exponent >>= 1;
550         exponent_bit--;
551       }
552     }
553   }
554 
555   return (value);
556 }
557 
558 /* if possible, this returns a positive or negative infinity
559    double, otherwise, this returns the double value
560    closest to that infinity: */
561 double
tme_float_infinity_double(int negative)562 tme_float_infinity_double(int negative)
563 {
564   static int inf_set_double;
565   static double inf_double[2];
566   double inf_test;
567   int negative_i;
568 
569   /* make sure that negative can index the inf_double array: */
570   negative = !!negative;
571 
572   /* if the double infinities have already been set: */
573   if (__tme_predict_true(inf_set_double)) {
574     return (inf_double[negative]);
575   }
576 
577   /* the double infinities will be set now: */
578   inf_set_double = TRUE;
579 
580   /* set the positive and negative infinities: */
581   for (negative_i = 0; negative_i < 2; negative_i++) {
582 
583     /* start with the limit maximum positive value or limit minimum
584        negative value.  double this value until either it doesn't
585        change or it isn't closer to the desired infinity, and then
586        use the previous value: */
587     inf_test = FLOAT_MAX_DOUBLE;
588     if (negative_i) {
589       inf_test = -inf_test;
590     }
591     do {
592       memcpy((char *) &inf_double[negative_i], (char *) &inf_test, sizeof(inf_test));
593       inf_test *= 2;
594     } while (memcmp((char *) &inf_double[negative_i], (char *) &inf_test, sizeof(inf_test)) != 0
595              && (negative_i
596                  ? inf_test < inf_double[negative_i]
597                  : inf_test > inf_double[negative_i]));
598 
599     /* try to generate the actual infinity by dividing one or negative
600        one by zero.  if this value is closer to the desired infinity,
601        use it: */
602     inf_test = (negative_i ? -1.0 : 1.0) / 0.0;
603     if (negative_i
604         ? inf_test < inf_double[negative_i]
605         : inf_test > inf_double[negative_i]) {
606       inf_double[negative_i] = inf_test;
607     }
608   }
609 
610   /* return the desired infinity: */
611   return (inf_double[negative]);
612 }
613 
614 /* if possible, this returns a negative zero double.
615    otherwise, this returns the negative double value closest
616    to zero: */
617 double
tme_float_negative_zero_double(void)618 tme_float_negative_zero_double(void)
619 {
620   static int nzero_set_double;
621   static double nzero_double;
622   double constant_pzero;
623   double constant_nzero;
624   double nzero_test;
625 
626   /* if the double negative zero has already been set: */
627   if (__tme_predict_true(nzero_set_double)) {
628     return (nzero_double);
629   }
630 
631   /* the double negative zero will be set now: */
632   nzero_set_double = TRUE;
633 
634   /* make a +0.0 and a -0.0, that we can do bit-for-bit comparisons with.
635      NB that sizeof(double) may cover more bits than are actually
636      used by a double: */
637   memset((char *) &constant_pzero, 0, sizeof(constant_pzero));
638   memset((char *) &constant_nzero, 0, sizeof(constant_nzero));
639   constant_pzero = +0.0;
640   constant_nzero = -0.0;
641 
642   /* if -0.0 * -0.0 is bit-for-bit different from -0.0 and is
643      bit-for-bit identical to +0.0, use -0.0: */
644   memset((char *) &nzero_test, 0, sizeof(nzero_test));
645   nzero_test = constant_nzero * constant_nzero;
646   if (memcmp((char *) &constant_nzero, (char *) &nzero_test, sizeof(nzero_test)) != 0
647       && memcmp((char *) &constant_pzero, (char *) &nzero_test, sizeof(nzero_test)) == 0) {
648     return (nzero_double = constant_nzero);
649   }
650 
651   /* otherwise, start with the limit maximum negative value (which is
652      zero minus the limit minimum positive value).  halve this value
653      until either it doesn't change or it becomes positive zero, and
654      then use the previous value: */
655   nzero_test = 0 - FLOAT_MIN_DOUBLE;
656   do {
657     memcpy((char *) &nzero_double, (char *) &nzero_test, sizeof(nzero_test));
658     nzero_test = nzero_test / 2;
659   } while (memcmp((char *) &nzero_double, (char *) &nzero_test, sizeof(nzero_test)) != 0
660 	   && memcmp((char *) &constant_pzero, (char *) &nzero_test, sizeof(nzero_test)) != 0);
661   return (nzero_double);
662 }
663 
664 /* a series of double values of the form 2^x, where x is a power of two: */
665 static const double _tme_float_radix2_exponent_bits_double_pos[] = {
666 
667   /* 2^1: */
668   (1 * ((double) ((tme_uint32_t) 2))),
669 
670   /* 2^2: */
671   (1 * ((double) ((tme_uint32_t) 4))),
672 
673   /* 2^4: */
674   (1 * ((double) ((tme_uint32_t) 16))),
675 
676   /* 2^8: */
677   (1 * ((double) ((tme_uint32_t) 256))),
678 
679   /* 2^16: */
680   (1 * ((double) ((tme_uint32_t) 65536))),
681 
682 #if ((TME_FLOAT_FORMAT_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE | TME_FLOAT_FORMAT_IEEE754_SINGLE)) != 0)
683 
684   /* 2^32: */
685   ((1 * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 256))),
686 
687   /* 2^64: */
688   (((1 * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 65536))),
689 
690 #endif /* ((TME_FLOAT_FORMAT_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE | TME_FLOAT_FORMAT_IEEE754_SINGLE)) != 0) */
691 
692 #if ((TME_FLOAT_FORMAT_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE)) != 0)
693 
694   /* 2^128: */
695   ((((((1 * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 256))),
696 
697   /* 2^256: */
698   (((((((((((1 * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 65536))),
699 
700   /* 2^512: */
701   ((((((((((((((((((((((1 * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 256))),
702 
703 #endif /* ((TME_FLOAT_FORMAT_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE)) != 0) */
704 
705 #if ((TME_FLOAT_FORMAT_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80)) != 0)
706 
707   /* 2^1024: */
708   (((((((((((((((((((((((((((((((((((((((((((1 * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 65536))),
709 
710   /* 2^2048: */
711   ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((1 * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 256))),
712 
713   /* 2^4096: */
714   (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((1 * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 65536))),
715 
716   /* 2^8192: */
717   ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((1 * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 16777216))) * ((double) ((tme_uint32_t) 256))),
718 
719 #endif /* ((TME_FLOAT_FORMAT_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80)) != 0) */
720 };
721 
722 /* a series of double values of the form 2^-x, where x is a power of two: */
723 static const double _tme_float_radix2_exponent_bits_double_neg[] = {
724 
725   /* 2^-1: */
726   (1 / ((double) ((tme_uint32_t) 2))),
727 
728   /* 2^-2: */
729   (1 / ((double) ((tme_uint32_t) 4))),
730 
731   /* 2^-4: */
732   (1 / ((double) ((tme_uint32_t) 16))),
733 
734   /* 2^-8: */
735   (1 / ((double) ((tme_uint32_t) 256))),
736 
737   /* 2^-16: */
738   (1 / ((double) ((tme_uint32_t) 65536))),
739 
740 #if ((TME_FLOAT_FORMAT_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE | TME_FLOAT_FORMAT_IEEE754_SINGLE)) != 0)
741 
742   /* 2^-32: */
743   ((1 / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 256))),
744 
745   /* 2^-64: */
746   (((1 / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 65536))),
747 
748 #endif /* ((TME_FLOAT_FORMAT_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE | TME_FLOAT_FORMAT_IEEE754_SINGLE)) != 0) */
749 
750 #if ((TME_FLOAT_FORMAT_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE)) != 0)
751 
752   /* 2^-128: */
753   ((((((1 / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 256))),
754 
755   /* 2^-256: */
756   (((((((((((1 / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 65536))),
757 
758   /* 2^-512: */
759   ((((((((((((((((((((((1 / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 256))),
760 
761 #endif /* ((TME_FLOAT_FORMAT_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE)) != 0) */
762 
763 #if ((TME_FLOAT_FORMAT_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80)) != 0)
764 
765   /* 2^-1024: */
766   (((((((((((((((((((((((((((((((((((((((((((1 / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 65536))),
767 
768   /* 2^-2048: */
769   ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((1 / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 256))),
770 
771   /* 2^-4096: */
772   (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((1 / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 65536))),
773 
774   /* 2^-8192: */
775   ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((1 / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 16777216))) / ((double) ((tme_uint32_t) 256))),
776 
777 #endif /* ((TME_FLOAT_FORMAT_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80)) != 0) */
778 };
779 
780 /* this returns the radix 2 mantissa and exponent of an in-range double.
781    the mantissa is either zero, or in the range [1,2): */
782 double
tme_float_radix2_mantissa_exponent_double(double value,tme_int32_t * _exponent)783 tme_float_radix2_mantissa_exponent_double(double value, tme_int32_t *_exponent)
784 {
785   tme_int32_t exponent;
786   tme_uint32_t exponent_bit;
787   int negate;
788 
789   /* start with an exponent of zero: */
790   exponent = 0;
791 
792   /* if the value is positive or negative zero, return the value: */
793   if (value == 0.0
794       || -value == 0.0) {
795     *_exponent = exponent;
796     return (value);
797   }
798 
799   /* take the magnitude of the value, but remember if it was negative: */
800   negate = (value < 0);
801   if (negate) {
802     value = 0 - value;
803   }
804 
805   /* while the value is less than one: */
806   exponent_bit = TME_ARRAY_ELS(_tme_float_radix2_exponent_bits_double_neg) - 1;
807   for (; value < 1; ) {
808 
809     /* if value is less than or equal to 2^-(2^exponent_bit),
810        divide value by 2^-(2^exponent_bit), and subtract 2^exponent_bit
811        from exponent: */
812     if (value <= _tme_float_radix2_exponent_bits_double_neg[exponent_bit]
813         || exponent_bit == 0) {
814       value /= _tme_float_radix2_exponent_bits_double_neg[exponent_bit];
815       exponent -= (1 << exponent_bit);
816     }
817 
818     /* otherwise, move to the next exponent bit: */
819     else {
820       exponent_bit--;
821     }
822   }
823 
824   /* while the value is greater than or equal to 2: */
825   exponent_bit = TME_ARRAY_ELS(_tme_float_radix2_exponent_bits_double_pos) - 1;
826   for (; value >= 2; ) {
827 
828     /* if value is greater than or equal to 2^(2^exponent_bit),
829        divide value by 2^(2^exponent_bit), and add 2^exponent_bit
830        to exponent: */
831     if (value >= _tme_float_radix2_exponent_bits_double_pos[exponent_bit]
832         || exponent_bit == 0) {
833       value /= _tme_float_radix2_exponent_bits_double_pos[exponent_bit];
834       exponent += (1 << exponent_bit);
835     }
836 
837     /* otherwise, move to the next exponent bit: */
838     else {
839       exponent_bit--;
840     }
841   }
842 
843   /* done: */
844   *_exponent = exponent;
845   return (negate ? 0 - value : value);
846 }
847 
848 /* this scales a value by adding n to its exponent: */
849 double
tme_float_radix2_scale_double(double value,tme_int32_t _n)850 tme_float_radix2_scale_double(double value, tme_int32_t _n)
851 {
852   tme_uint32_t exponent_bit, exponent;
853   tme_uint32_t n;
854 
855   /* start with the most significant exponent bit: */
856   exponent_bit = TME_ARRAY_ELS(_tme_float_radix2_exponent_bits_double_pos) - 1;
857   exponent = (1 << exponent_bit);
858 
859   /* if n is negative: */
860   if (_n < 0) {
861 
862     for (n = 0 - _n; n > 0;) {
863       if (n >= exponent || exponent == 1) {
864         value /= _tme_float_radix2_exponent_bits_double_pos[exponent_bit];
865         n -= exponent;
866       }
867       else {
868         exponent >>= 1;
869         exponent_bit--;
870       }
871     }
872   }
873 
874   /* otherwise, n is positive: */
875   else {
876     for (n = _n; n > 0;) {
877       if (n >= exponent || exponent == 1) {
878         value *= _tme_float_radix2_exponent_bits_double_pos[exponent_bit];
879         n -= exponent;
880       }
881       else {
882         exponent >>= 1;
883         exponent_bit--;
884       }
885     }
886   }
887 
888   return (value);
889 }
890 
891 /* a series of double values of the form 10^x, where x is a power of two: */
892 static const double _tme_float_radix10_exponent_bits_double_pos[] = {
893 
894   /* 10^1: */
895   (1 * ((double) ((tme_uint32_t) 10))),
896 
897   /* 10^2: */
898   (1 * ((double) ((tme_uint32_t) 100))),
899 
900   /* 10^4: */
901   (1 * ((double) ((tme_uint32_t) 10000))),
902 
903 #if ((TME_FLOAT_FORMAT_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE | TME_FLOAT_FORMAT_IEEE754_SINGLE)) != 0)
904 
905   /* 10^8: */
906   ((1 * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))),
907 
908   /* 10^16: */
909   ((((1 * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))),
910 
911 #endif /* ((TME_FLOAT_FORMAT_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE | TME_FLOAT_FORMAT_IEEE754_SINGLE)) != 0) */
912 
913 #if ((TME_FLOAT_FORMAT_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE)) != 0)
914 
915   /* 10^32: */
916   ((((((((1 * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))),
917 
918   /* 10^64: */
919   ((((((((((((((((1 * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))),
920 
921   /* 10^128: */
922   ((((((((((((((((((((((((((((((((1 * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))),
923 
924 #endif /* ((TME_FLOAT_FORMAT_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE)) != 0) */
925 
926 #if ((TME_FLOAT_FORMAT_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80)) != 0)
927 
928   /* 10^256: */
929   ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((1 * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))),
930 
931   /* 10^512: */
932   ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((1 * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))),
933 
934   /* 10^1024: */
935   ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((1 * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))),
936 
937   /* 10^2048: */
938   ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((1 * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))) * ((double) ((tme_uint32_t) 10000))),
939 
940 #endif /* ((TME_FLOAT_FORMAT_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80)) != 0) */
941 };
942 
943 /* a series of double values of the form 10^-x, where x is a power of two: */
944 static const double _tme_float_radix10_exponent_bits_double_neg[] = {
945 
946   /* 10^-1: */
947   (1 / ((double) ((tme_uint32_t) 10))),
948 
949   /* 10^-2: */
950   (1 / ((double) ((tme_uint32_t) 100))),
951 
952   /* 10^-4: */
953   (1 / ((double) ((tme_uint32_t) 10000))),
954 
955 #if ((TME_FLOAT_FORMAT_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE | TME_FLOAT_FORMAT_IEEE754_SINGLE)) != 0)
956 
957   /* 10^-8: */
958   ((1 / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))),
959 
960   /* 10^-16: */
961   ((((1 / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))),
962 
963 #endif /* ((TME_FLOAT_FORMAT_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE | TME_FLOAT_FORMAT_IEEE754_SINGLE)) != 0) */
964 
965 #if ((TME_FLOAT_FORMAT_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE)) != 0)
966 
967   /* 10^-32: */
968   ((((((((1 / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))),
969 
970   /* 10^-64: */
971   ((((((((((((((((1 / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))),
972 
973   /* 10^-128: */
974   ((((((((((((((((((((((((((((((((1 / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))),
975 
976 #endif /* ((TME_FLOAT_FORMAT_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE)) != 0) */
977 
978 #if ((TME_FLOAT_FORMAT_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80)) != 0)
979 
980   /* 10^-256: */
981   ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((1 / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))),
982 
983   /* 10^-512: */
984   ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((1 / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))),
985 
986   /* 10^-1024: */
987   ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((1 / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))),
988 
989   /* 10^-2048: */
990   ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((1 / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) 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((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))) / ((double) ((tme_uint32_t) 10000))),
991 
992 #endif /* ((TME_FLOAT_FORMAT_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80)) != 0) */
993 };
994 
995 /* this returns the radix 10 mantissa and exponent of an in-range double.
996    the mantissa is either zero, or in the range [1,10): */
997 double
tme_float_radix10_mantissa_exponent_double(double value,tme_int32_t * _exponent)998 tme_float_radix10_mantissa_exponent_double(double value, tme_int32_t *_exponent)
999 {
1000   tme_int32_t exponent;
1001   tme_uint32_t exponent_bit;
1002   int negate;
1003 
1004   /* start with an exponent of zero: */
1005   exponent = 0;
1006 
1007   /* if the value is positive or negative zero, return the value: */
1008   if (value == 0.0
1009       || -value == 0.0) {
1010     *_exponent = exponent;
1011     return (value);
1012   }
1013 
1014   /* take the magnitude of the value, but remember if it was negative: */
1015   negate = (value < 0);
1016   if (negate) {
1017     value = 0 - value;
1018   }
1019 
1020   /* while the value is less than one: */
1021   exponent_bit = TME_ARRAY_ELS(_tme_float_radix10_exponent_bits_double_neg) - 1;
1022   for (; value < 1; ) {
1023 
1024     /* if value is less than or equal to 10^-(2^exponent_bit),
1025        divide value by 10^-(2^exponent_bit), and subtract 2^exponent_bit
1026        from exponent: */
1027     if (value <= _tme_float_radix10_exponent_bits_double_neg[exponent_bit]
1028         || exponent_bit == 0) {
1029       value /= _tme_float_radix10_exponent_bits_double_neg[exponent_bit];
1030       exponent -= (1 << exponent_bit);
1031     }
1032 
1033     /* otherwise, move to the next exponent bit: */
1034     else {
1035       exponent_bit--;
1036     }
1037   }
1038 
1039   /* while the value is greater than or equal to 10: */
1040   exponent_bit = TME_ARRAY_ELS(_tme_float_radix10_exponent_bits_double_pos) - 1;
1041   for (; value >= 10; ) {
1042 
1043     /* if value is greater than or equal to 10^(2^exponent_bit),
1044        divide value by 10^(2^exponent_bit), and add 2^exponent_bit
1045        to exponent: */
1046     if (value >= _tme_float_radix10_exponent_bits_double_pos[exponent_bit]
1047         || exponent_bit == 0) {
1048       value /= _tme_float_radix10_exponent_bits_double_pos[exponent_bit];
1049       exponent += (1 << exponent_bit);
1050     }
1051 
1052     /* otherwise, move to the next exponent bit: */
1053     else {
1054       exponent_bit--;
1055     }
1056   }
1057 
1058   /* done: */
1059   *_exponent = exponent;
1060   return (negate ? 0 - value : value);
1061 }
1062 
1063 /* this scales a value by adding n to its exponent: */
1064 double
tme_float_radix10_scale_double(double value,tme_int32_t _n)1065 tme_float_radix10_scale_double(double value, tme_int32_t _n)
1066 {
1067   tme_uint32_t exponent_bit, exponent;
1068   tme_uint32_t n;
1069 
1070   /* start with the most significant exponent bit: */
1071   exponent_bit = TME_ARRAY_ELS(_tme_float_radix10_exponent_bits_double_pos) - 1;
1072   exponent = (1 << exponent_bit);
1073 
1074   /* if n is negative: */
1075   if (_n < 0) {
1076 
1077     for (n = 0 - _n; n > 0;) {
1078       if (n >= exponent || exponent == 1) {
1079         value /= _tme_float_radix10_exponent_bits_double_pos[exponent_bit];
1080         n -= exponent;
1081       }
1082       else {
1083         exponent >>= 1;
1084         exponent_bit--;
1085       }
1086     }
1087   }
1088 
1089   /* otherwise, n is positive: */
1090   else {
1091     for (n = _n; n > 0;) {
1092       if (n >= exponent || exponent == 1) {
1093         value *= _tme_float_radix10_exponent_bits_double_pos[exponent_bit];
1094         n -= exponent;
1095       }
1096       else {
1097         exponent >>= 1;
1098         exponent_bit--;
1099       }
1100     }
1101   }
1102 
1103   return (value);
1104 }
1105 
1106 #ifdef _TME_HAVE_LONG_DOUBLE
1107 
1108 /* if possible, this returns a positive or negative infinity
1109    long double, otherwise, this returns the long double value
1110    closest to that infinity: */
1111 long double
tme_float_infinity_long_double(int negative)1112 tme_float_infinity_long_double(int negative)
1113 {
1114   static int inf_set_long_double;
1115   static long double inf_long_double[2];
1116   long double inf_test;
1117   int negative_i;
1118 
1119   /* make sure that negative can index the inf_long_double array: */
1120   negative = !!negative;
1121 
1122   /* if the long double infinities have already been set: */
1123   if (__tme_predict_true(inf_set_long_double)) {
1124     return (inf_long_double[negative]);
1125   }
1126 
1127   /* the long double infinities will be set now: */
1128   inf_set_long_double = TRUE;
1129 
1130   /* set the positive and negative infinities: */
1131   for (negative_i = 0; negative_i < 2; negative_i++) {
1132 
1133     /* start with the limit maximum positive value or limit minimum
1134        negative value.  double this value until either it doesn't
1135        change or it isn't closer to the desired infinity, and then
1136        use the previous value: */
1137     inf_test = FLOAT_MAX_LONG_DOUBLE;
1138     if (negative_i) {
1139       inf_test = -inf_test;
1140     }
1141     do {
1142       memcpy((char *) &inf_long_double[negative_i], (char *) &inf_test, sizeof(inf_test));
1143       inf_test *= 2;
1144     } while (memcmp((char *) &inf_long_double[negative_i], (char *) &inf_test, sizeof(inf_test)) != 0
1145              && (negative_i
1146                  ? inf_test < inf_long_double[negative_i]
1147                  : inf_test > inf_long_double[negative_i]));
1148 
1149     /* try to generate the actual infinity by dividing one or negative
1150        one by zero.  if this value is closer to the desired infinity,
1151        use it: */
1152     inf_test = (negative_i ? -1.0 : 1.0) / 0.0;
1153     if (negative_i
1154         ? inf_test < inf_long_double[negative_i]
1155         : inf_test > inf_long_double[negative_i]) {
1156       inf_long_double[negative_i] = inf_test;
1157     }
1158   }
1159 
1160   /* return the desired infinity: */
1161   return (inf_long_double[negative]);
1162 }
1163 
1164 /* if possible, this returns a negative zero long double.
1165    otherwise, this returns the negative long double value closest
1166    to zero: */
1167 long double
tme_float_negative_zero_long_double(void)1168 tme_float_negative_zero_long_double(void)
1169 {
1170   static int nzero_set_long_double;
1171   static long double nzero_long_double;
1172   long double constant_pzero;
1173   long double constant_nzero;
1174   long double nzero_test;
1175 
1176   /* if the long double negative zero has already been set: */
1177   if (__tme_predict_true(nzero_set_long_double)) {
1178     return (nzero_long_double);
1179   }
1180 
1181   /* the long double negative zero will be set now: */
1182   nzero_set_long_double = TRUE;
1183 
1184   /* make a +0.0 and a -0.0, that we can do bit-for-bit comparisons with.
1185      NB that sizeof(long double) may cover more bits than are actually
1186      used by a long double: */
1187   memset((char *) &constant_pzero, 0, sizeof(constant_pzero));
1188   memset((char *) &constant_nzero, 0, sizeof(constant_nzero));
1189   constant_pzero = +0.0;
1190   constant_nzero = -0.0;
1191 
1192   /* if -0.0 * -0.0 is bit-for-bit different from -0.0 and is
1193      bit-for-bit identical to +0.0, use -0.0: */
1194   memset((char *) &nzero_test, 0, sizeof(nzero_test));
1195   nzero_test = constant_nzero * constant_nzero;
1196   if (memcmp((char *) &constant_nzero, (char *) &nzero_test, sizeof(nzero_test)) != 0
1197       && memcmp((char *) &constant_pzero, (char *) &nzero_test, sizeof(nzero_test)) == 0) {
1198     return (nzero_long_double = constant_nzero);
1199   }
1200 
1201   /* otherwise, start with the limit maximum negative value (which is
1202      zero minus the limit minimum positive value).  halve this value
1203      until either it doesn't change or it becomes positive zero, and
1204      then use the previous value: */
1205   nzero_test = 0 - FLOAT_MIN_LONG_DOUBLE;
1206   do {
1207     memcpy((char *) &nzero_long_double, (char *) &nzero_test, sizeof(nzero_test));
1208     nzero_test = nzero_test / 2;
1209   } while (memcmp((char *) &nzero_long_double, (char *) &nzero_test, sizeof(nzero_test)) != 0
1210 	   && memcmp((char *) &constant_pzero, (char *) &nzero_test, sizeof(nzero_test)) != 0);
1211   return (nzero_long_double);
1212 }
1213 
1214 /* a series of long double values of the form 2^x, where x is a power of two: */
1215 static const long double _tme_float_radix2_exponent_bits_long_double_pos[] = {
1216 
1217   /* 2^1: */
1218   (1 * ((long double) ((tme_uint32_t) 2))),
1219 
1220   /* 2^2: */
1221   (1 * ((long double) ((tme_uint32_t) 4))),
1222 
1223   /* 2^4: */
1224   (1 * ((long double) ((tme_uint32_t) 16))),
1225 
1226   /* 2^8: */
1227   (1 * ((long double) ((tme_uint32_t) 256))),
1228 
1229   /* 2^16: */
1230   (1 * ((long double) ((tme_uint32_t) 65536))),
1231 
1232 #if ((TME_FLOAT_FORMAT_LONG_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE | TME_FLOAT_FORMAT_IEEE754_SINGLE)) != 0)
1233 
1234   /* 2^32: */
1235   ((1 * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 256))),
1236 
1237   /* 2^64: */
1238   (((1 * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 65536))),
1239 
1240 #endif /* ((TME_FLOAT_FORMAT_LONG_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE | TME_FLOAT_FORMAT_IEEE754_SINGLE)) != 0) */
1241 
1242 #if ((TME_FLOAT_FORMAT_LONG_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE)) != 0)
1243 
1244   /* 2^128: */
1245   ((((((1 * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 256))),
1246 
1247   /* 2^256: */
1248   (((((((((((1 * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 65536))),
1249 
1250   /* 2^512: */
1251   ((((((((((((((((((((((1 * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 256))),
1252 
1253 #endif /* ((TME_FLOAT_FORMAT_LONG_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE)) != 0) */
1254 
1255 #if ((TME_FLOAT_FORMAT_LONG_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80)) != 0)
1256 
1257   /* 2^1024: */
1258   (((((((((((((((((((((((((((((((((((((((((((1 * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 65536))),
1259 
1260   /* 2^2048: */
1261   ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((1 * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 256))),
1262 
1263   /* 2^4096: */
1264   (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((1 * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 65536))),
1265 
1266   /* 2^8192: */
1267   ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((1 * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 16777216))) * ((long double) ((tme_uint32_t) 256))),
1268 
1269 #endif /* ((TME_FLOAT_FORMAT_LONG_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80)) != 0) */
1270 };
1271 
1272 /* a series of long double values of the form 2^-x, where x is a power of two: */
1273 static const long double _tme_float_radix2_exponent_bits_long_double_neg[] = {
1274 
1275   /* 2^-1: */
1276   (1 / ((long double) ((tme_uint32_t) 2))),
1277 
1278   /* 2^-2: */
1279   (1 / ((long double) ((tme_uint32_t) 4))),
1280 
1281   /* 2^-4: */
1282   (1 / ((long double) ((tme_uint32_t) 16))),
1283 
1284   /* 2^-8: */
1285   (1 / ((long double) ((tme_uint32_t) 256))),
1286 
1287   /* 2^-16: */
1288   (1 / ((long double) ((tme_uint32_t) 65536))),
1289 
1290 #if ((TME_FLOAT_FORMAT_LONG_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE | TME_FLOAT_FORMAT_IEEE754_SINGLE)) != 0)
1291 
1292   /* 2^-32: */
1293   ((1 / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 256))),
1294 
1295   /* 2^-64: */
1296   (((1 / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 65536))),
1297 
1298 #endif /* ((TME_FLOAT_FORMAT_LONG_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE | TME_FLOAT_FORMAT_IEEE754_SINGLE)) != 0) */
1299 
1300 #if ((TME_FLOAT_FORMAT_LONG_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE)) != 0)
1301 
1302   /* 2^-128: */
1303   ((((((1 / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 256))),
1304 
1305   /* 2^-256: */
1306   (((((((((((1 / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 65536))),
1307 
1308   /* 2^-512: */
1309   ((((((((((((((((((((((1 / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 256))),
1310 
1311 #endif /* ((TME_FLOAT_FORMAT_LONG_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE)) != 0) */
1312 
1313 #if ((TME_FLOAT_FORMAT_LONG_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80)) != 0)
1314 
1315   /* 2^-1024: */
1316   (((((((((((((((((((((((((((((((((((((((((((1 / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 65536))),
1317 
1318   /* 2^-2048: */
1319   ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((1 / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 256))),
1320 
1321   /* 2^-4096: */
1322   (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((1 / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 65536))),
1323 
1324   /* 2^-8192: */
1325   ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((1 / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 16777216))) / ((long double) ((tme_uint32_t) 256))),
1326 
1327 #endif /* ((TME_FLOAT_FORMAT_LONG_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80)) != 0) */
1328 };
1329 
1330 /* this returns the radix 2 mantissa and exponent of an in-range long double.
1331    the mantissa is either zero, or in the range [1,2): */
1332 long double
tme_float_radix2_mantissa_exponent_long_double(long double value,tme_int32_t * _exponent)1333 tme_float_radix2_mantissa_exponent_long_double(long double value, tme_int32_t *_exponent)
1334 {
1335   tme_int32_t exponent;
1336   tme_uint32_t exponent_bit;
1337   int negate;
1338 
1339   /* start with an exponent of zero: */
1340   exponent = 0;
1341 
1342   /* if the value is positive or negative zero, return the value: */
1343   if (value == 0.0
1344       || -value == 0.0) {
1345     *_exponent = exponent;
1346     return (value);
1347   }
1348 
1349   /* take the magnitude of the value, but remember if it was negative: */
1350   negate = (value < 0);
1351   if (negate) {
1352     value = 0 - value;
1353   }
1354 
1355   /* while the value is less than one: */
1356   exponent_bit = TME_ARRAY_ELS(_tme_float_radix2_exponent_bits_long_double_neg) - 1;
1357   for (; value < 1; ) {
1358 
1359     /* if value is less than or equal to 2^-(2^exponent_bit),
1360        divide value by 2^-(2^exponent_bit), and subtract 2^exponent_bit
1361        from exponent: */
1362     if (value <= _tme_float_radix2_exponent_bits_long_double_neg[exponent_bit]
1363         || exponent_bit == 0) {
1364       value /= _tme_float_radix2_exponent_bits_long_double_neg[exponent_bit];
1365       exponent -= (1 << exponent_bit);
1366     }
1367 
1368     /* otherwise, move to the next exponent bit: */
1369     else {
1370       exponent_bit--;
1371     }
1372   }
1373 
1374   /* while the value is greater than or equal to 2: */
1375   exponent_bit = TME_ARRAY_ELS(_tme_float_radix2_exponent_bits_long_double_pos) - 1;
1376   for (; value >= 2; ) {
1377 
1378     /* if value is greater than or equal to 2^(2^exponent_bit),
1379        divide value by 2^(2^exponent_bit), and add 2^exponent_bit
1380        to exponent: */
1381     if (value >= _tme_float_radix2_exponent_bits_long_double_pos[exponent_bit]
1382         || exponent_bit == 0) {
1383       value /= _tme_float_radix2_exponent_bits_long_double_pos[exponent_bit];
1384       exponent += (1 << exponent_bit);
1385     }
1386 
1387     /* otherwise, move to the next exponent bit: */
1388     else {
1389       exponent_bit--;
1390     }
1391   }
1392 
1393   /* done: */
1394   *_exponent = exponent;
1395   return (negate ? 0 - value : value);
1396 }
1397 
1398 /* this scales a value by adding n to its exponent: */
1399 long double
tme_float_radix2_scale_long_double(long double value,tme_int32_t _n)1400 tme_float_radix2_scale_long_double(long double value, tme_int32_t _n)
1401 {
1402   tme_uint32_t exponent_bit, exponent;
1403   tme_uint32_t n;
1404 
1405   /* start with the most significant exponent bit: */
1406   exponent_bit = TME_ARRAY_ELS(_tme_float_radix2_exponent_bits_long_double_pos) - 1;
1407   exponent = (1 << exponent_bit);
1408 
1409   /* if n is negative: */
1410   if (_n < 0) {
1411 
1412     for (n = 0 - _n; n > 0;) {
1413       if (n >= exponent || exponent == 1) {
1414         value /= _tme_float_radix2_exponent_bits_long_double_pos[exponent_bit];
1415         n -= exponent;
1416       }
1417       else {
1418         exponent >>= 1;
1419         exponent_bit--;
1420       }
1421     }
1422   }
1423 
1424   /* otherwise, n is positive: */
1425   else {
1426     for (n = _n; n > 0;) {
1427       if (n >= exponent || exponent == 1) {
1428         value *= _tme_float_radix2_exponent_bits_long_double_pos[exponent_bit];
1429         n -= exponent;
1430       }
1431       else {
1432         exponent >>= 1;
1433         exponent_bit--;
1434       }
1435     }
1436   }
1437 
1438   return (value);
1439 }
1440 
1441 /* a series of long double values of the form 10^x, where x is a power of two: */
1442 static const long double _tme_float_radix10_exponent_bits_long_double_pos[] = {
1443 
1444   /* 10^1: */
1445   (1 * ((long double) ((tme_uint32_t) 10))),
1446 
1447   /* 10^2: */
1448   (1 * ((long double) ((tme_uint32_t) 100))),
1449 
1450   /* 10^4: */
1451   (1 * ((long double) ((tme_uint32_t) 10000))),
1452 
1453 #if ((TME_FLOAT_FORMAT_LONG_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE | TME_FLOAT_FORMAT_IEEE754_SINGLE)) != 0)
1454 
1455   /* 10^8: */
1456   ((1 * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))),
1457 
1458   /* 10^16: */
1459   ((((1 * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))),
1460 
1461 #endif /* ((TME_FLOAT_FORMAT_LONG_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE | TME_FLOAT_FORMAT_IEEE754_SINGLE)) != 0) */
1462 
1463 #if ((TME_FLOAT_FORMAT_LONG_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE)) != 0)
1464 
1465   /* 10^32: */
1466   ((((((((1 * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))),
1467 
1468   /* 10^64: */
1469   ((((((((((((((((1 * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))),
1470 
1471   /* 10^128: */
1472   ((((((((((((((((((((((((((((((((1 * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))),
1473 
1474 #endif /* ((TME_FLOAT_FORMAT_LONG_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE)) != 0) */
1475 
1476 #if ((TME_FLOAT_FORMAT_LONG_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80)) != 0)
1477 
1478   /* 10^256: */
1479   ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((1 * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))),
1480 
1481   /* 10^512: */
1482   ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((1 * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))),
1483 
1484   /* 10^1024: */
1485   ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((1 * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))),
1486 
1487   /* 10^2048: */
1488   ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((1 * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) 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double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) 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((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) 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double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) 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10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) 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((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))) * ((long double) ((tme_uint32_t) 10000))),
1489 
1490 #endif /* ((TME_FLOAT_FORMAT_LONG_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80)) != 0) */
1491 };
1492 
1493 /* a series of long double values of the form 10^-x, where x is a power of two: */
1494 static const long double _tme_float_radix10_exponent_bits_long_double_neg[] = {
1495 
1496   /* 10^-1: */
1497   (1 / ((long double) ((tme_uint32_t) 10))),
1498 
1499   /* 10^-2: */
1500   (1 / ((long double) ((tme_uint32_t) 100))),
1501 
1502   /* 10^-4: */
1503   (1 / ((long double) ((tme_uint32_t) 10000))),
1504 
1505 #if ((TME_FLOAT_FORMAT_LONG_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE | TME_FLOAT_FORMAT_IEEE754_SINGLE)) != 0)
1506 
1507   /* 10^-8: */
1508   ((1 / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))),
1509 
1510   /* 10^-16: */
1511   ((((1 / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))),
1512 
1513 #endif /* ((TME_FLOAT_FORMAT_LONG_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE | TME_FLOAT_FORMAT_IEEE754_SINGLE)) != 0) */
1514 
1515 #if ((TME_FLOAT_FORMAT_LONG_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE)) != 0)
1516 
1517   /* 10^-32: */
1518   ((((((((1 / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))),
1519 
1520   /* 10^-64: */
1521   ((((((((((((((((1 / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))),
1522 
1523   /* 10^-128: */
1524   ((((((((((((((((((((((((((((((((1 / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))),
1525 
1526 #endif /* ((TME_FLOAT_FORMAT_LONG_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80 | TME_FLOAT_FORMAT_IEEE754_DOUBLE)) != 0) */
1527 
1528 #if ((TME_FLOAT_FORMAT_LONG_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80)) != 0)
1529 
1530   /* 10^-256: */
1531   ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((1 / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))),
1532 
1533   /* 10^-512: */
1534   ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((1 / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))),
1535 
1536   /* 10^-1024: */
1537   ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((1 / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))),
1538 
1539   /* 10^-2048: */
1540   ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((1 / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))) / ((long double) ((tme_uint32_t) 10000))),
1541 
1542 #endif /* ((TME_FLOAT_FORMAT_LONG_DOUBLE & (TME_FLOAT_FORMAT_IEEE754_EXTENDED80)) != 0) */
1543 };
1544 
1545 /* this returns the radix 10 mantissa and exponent of an in-range long double.
1546    the mantissa is either zero, or in the range [1,10): */
1547 long double
tme_float_radix10_mantissa_exponent_long_double(long double value,tme_int32_t * _exponent)1548 tme_float_radix10_mantissa_exponent_long_double(long double value, tme_int32_t *_exponent)
1549 {
1550   tme_int32_t exponent;
1551   tme_uint32_t exponent_bit;
1552   int negate;
1553 
1554   /* start with an exponent of zero: */
1555   exponent = 0;
1556 
1557   /* if the value is positive or negative zero, return the value: */
1558   if (value == 0.0
1559       || -value == 0.0) {
1560     *_exponent = exponent;
1561     return (value);
1562   }
1563 
1564   /* take the magnitude of the value, but remember if it was negative: */
1565   negate = (value < 0);
1566   if (negate) {
1567     value = 0 - value;
1568   }
1569 
1570   /* while the value is less than one: */
1571   exponent_bit = TME_ARRAY_ELS(_tme_float_radix10_exponent_bits_long_double_neg) - 1;
1572   for (; value < 1; ) {
1573 
1574     /* if value is less than or equal to 10^-(2^exponent_bit),
1575        divide value by 10^-(2^exponent_bit), and subtract 2^exponent_bit
1576        from exponent: */
1577     if (value <= _tme_float_radix10_exponent_bits_long_double_neg[exponent_bit]
1578         || exponent_bit == 0) {
1579       value /= _tme_float_radix10_exponent_bits_long_double_neg[exponent_bit];
1580       exponent -= (1 << exponent_bit);
1581     }
1582 
1583     /* otherwise, move to the next exponent bit: */
1584     else {
1585       exponent_bit--;
1586     }
1587   }
1588 
1589   /* while the value is greater than or equal to 10: */
1590   exponent_bit = TME_ARRAY_ELS(_tme_float_radix10_exponent_bits_long_double_pos) - 1;
1591   for (; value >= 10; ) {
1592 
1593     /* if value is greater than or equal to 10^(2^exponent_bit),
1594        divide value by 10^(2^exponent_bit), and add 2^exponent_bit
1595        to exponent: */
1596     if (value >= _tme_float_radix10_exponent_bits_long_double_pos[exponent_bit]
1597         || exponent_bit == 0) {
1598       value /= _tme_float_radix10_exponent_bits_long_double_pos[exponent_bit];
1599       exponent += (1 << exponent_bit);
1600     }
1601 
1602     /* otherwise, move to the next exponent bit: */
1603     else {
1604       exponent_bit--;
1605     }
1606   }
1607 
1608   /* done: */
1609   *_exponent = exponent;
1610   return (negate ? 0 - value : value);
1611 }
1612 
1613 /* this scales a value by adding n to its exponent: */
1614 long double
tme_float_radix10_scale_long_double(long double value,tme_int32_t _n)1615 tme_float_radix10_scale_long_double(long double value, tme_int32_t _n)
1616 {
1617   tme_uint32_t exponent_bit, exponent;
1618   tme_uint32_t n;
1619 
1620   /* start with the most significant exponent bit: */
1621   exponent_bit = TME_ARRAY_ELS(_tme_float_radix10_exponent_bits_long_double_pos) - 1;
1622   exponent = (1 << exponent_bit);
1623 
1624   /* if n is negative: */
1625   if (_n < 0) {
1626 
1627     for (n = 0 - _n; n > 0;) {
1628       if (n >= exponent || exponent == 1) {
1629         value /= _tme_float_radix10_exponent_bits_long_double_pos[exponent_bit];
1630         n -= exponent;
1631       }
1632       else {
1633         exponent >>= 1;
1634         exponent_bit--;
1635       }
1636     }
1637   }
1638 
1639   /* otherwise, n is positive: */
1640   else {
1641     for (n = _n; n > 0;) {
1642       if (n >= exponent || exponent == 1) {
1643         value *= _tme_float_radix10_exponent_bits_long_double_pos[exponent_bit];
1644         n -= exponent;
1645       }
1646       else {
1647         exponent >>= 1;
1648         exponent_bit--;
1649       }
1650     }
1651   }
1652 
1653   return (value);
1654 }
1655 
1656 #endif /* _TME_HAVE_LONG_DOUBLE */
1657