11TEST OF DEXPM1(X- 0.0625) VS DEXPM1(-0.0625)*(1 + DEXPM1(X)) + DEXPM1(X)
2
3
4   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
5      (    -7.0968E+02,    -3.7430E+01)
6
7
8 DEXPM1(X+V) WAS LARGER     0 TIMES,
9                 AGREED  2000 TIMES, AND
10            WAS SMALLER     0 TIMES.
11
12
13
14 THERE ARE  53 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER
15
16
17 THE MAXIMUM RELATIVE ERROR OF     0.0000E+00 =    2 ** -999.00
18    OCCURRED FOR X =     0.000000E+00
19 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00
20
21
22 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     0.0000E+00 =    2 ** -999.00
23
24 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00
25
26
271TEST OF DEXPM1(X- 0.0625) VS DEXPM1(-0.0625)*(1 + DEXPM1(X)) + DEXPM1(X)
28
29
30   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
31      (    -3.7430E+01,    -3.4657E+00)
32
33
34 DEXPM1(X+V) WAS LARGER   307 TIMES,
35                 AGREED  1393 TIMES, AND
36            WAS SMALLER   300 TIMES.
37
38
39
40 THERE ARE  53 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER
41
42
43 THE MAXIMUM RELATIVE ERROR OF     1.1431E-16 =    2 ** -52.96
44    OCCURRED FOR X =    -3.486567E+00
45 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.04
46
47
48 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     6.1233E-17 =    2 ** -53.86
49
50 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00
51
52
531TEST OF DEXPM1(X- 2.8125) VS DEXPM1(-2.8125)*(1 + DEXPM1(X)) + DEXPM1(X)
54
55
56   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
57      (    -3.4657E+00,    -6.9315E-01)
58
59
60 DEXPM1(X+V) WAS LARGER   967 TIMES,
61                 AGREED  1033 TIMES, AND
62            WAS SMALLER     0 TIMES.
63
64
65
66 THERE ARE  53 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER
67
68
69 THE MAXIMUM RELATIVE ERROR OF     1.1444E-16 =    2 ** -52.96
70    OCCURRED FOR X =    -6.995137E-01
71 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.04
72
73
74 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     7.7971E-17 =    2 ** -53.51
75
76 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00
77
78
791TEST OF DEXPM1(X- 0.0625) VS DEXPM1(-0.0625)*(1 + DEXPM1(X)) + DEXPM1(X)
80
81
82   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
83      (    -6.9315E-01,   -2.2251E-308)
84
85
86 DEXPM1(X+V) WAS LARGER   485 TIMES,
87                 AGREED   973 TIMES, AND
88            WAS SMALLER   542 TIMES.
89
90
91
92 THERE ARE  53 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER
93
94
95 THE MAXIMUM RELATIVE ERROR OF     4.4680E-16 =    2 ** -50.99
96    OCCURRED FOR X =    -4.038676E-01
97 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   2.01
98
99
100 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     1.2626E-16 =    2 ** -52.81
101
102 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.19
103
104
1051TEST OF DEXPM1(X- 2.8125) VS DEXPM1(-2.8125)*(1 + DEXPM1(X)) + DEXPM1(X)
106
107
108   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
109      (    2.2251E-308,     4.0547E-01)
110
111
112 DEXPM1(X+V) WAS LARGER   936 TIMES,
113                 AGREED  1064 TIMES, AND
114            WAS SMALLER     0 TIMES.
115
116
117
118 THERE ARE  53 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER
119
120
121 THE MAXIMUM RELATIVE ERROR OF     1.2201E-16 =    2 ** -52.86
122    OCCURRED FOR X =     4.052514E-01
123 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.14
124
125
126 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     8.2037E-17 =    2 ** -53.44
127
128 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00
129
130
1311TEST OF DEXPM1(X- 0.0625) VS DEXPM1(-0.0625)*(1 + DEXPM1(X)) + DEXPM1(X)
132
133
134   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
135      (     4.0547E-01,     7.0968E+02)
136
137
138 DEXPM1(X+V) WAS LARGER   317 TIMES,
139                 AGREED  1340 TIMES, AND
140            WAS SMALLER   343 TIMES.
141
142
143
144 THERE ARE  53 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER
145
146
147 THE MAXIMUM RELATIVE ERROR OF     2.3310E-16 =    2 ** -51.93
148    OCCURRED FOR X =     2.446949E+02
149 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.07
150
151
152 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     9.2130E-17 =    2 ** -53.27
153
154 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00
155
156
1571SPECIAL TESTS
158
159
160 THE IDENTITY  1 + DEXPM1(X) = -DEXPM1(X)/DEXPM1(-X)  WILL BE TESTED.
161
162        X         1 + F(X) + F(X)/F(-X)
163
164  5.5969256E-01 -2.2204460E-16
165
166  1.1961642E+00  0.0000000E+00
167
168  6.6046707E-02  0.0000000E+00
169
170  1.9797955E+00  0.0000000E+00
171
172  3.0403658E-01  0.0000000E+00
173
174
175
176 TEST OF SPECIAL ARGUMENTS
177
178
179 DEXPM1(0.0) - 1.0 =  -1.0000000E+00
180 DEXPM1(-7.080000E+02) = -1.000000E+00
181 DEXPM1( 7.090000E+02) = 8.218407E+307
182
183 IF DEXPM1( 3.545000E+02) = 9.065543E+153 IS NOT ABOUT
184 DEXPM1( 1.772500E+02)**2 = 9.065543E+153 THERE IS AN ARG RED ERROR
185
186
187
188 TEST OF IEEE 754 SUBNORMAL ARGUMENTS
189
190 ALL 106 SUBNORMALS TESTED CORRECTLY SATISFY DEXPM1(X) = X
191
192
1931TEST OF ERROR RETURNS
194
195
196 EXMP1 WILL BE CALLED WITH THE ARGUMENT   -6.7039E+153
197 THIS SHOULD TRIGGER AN ERROR MESSAGE
198
199
200 DEXPM1 RETURNED THE VALUE     -1.0000E+00
201
202
203
204 EXMP1 WILL BE CALLED WITH THE ARGUMENT    6.7039E+153
205 THIS SHOULD TRIGGER AN ERROR MESSAGE
206
207
208 DEXPM1 RETURNED THE VALUE             Inf
209
210
211
212 THIS CONCLUDES THE TESTS
213