1 
2 /*============================================================================
3 
4 This C header file is part of the SoftFloat IEEE Floating-Point Arithmetic
5 Package, Release 3e, by John R. Hauser.
6 
7 Copyright 2011, 2012, 2013, 2014, 2015, 2016, 2017 The Regents of the
8 University of California.  All rights reserved.
9 
10 Redistribution and use in source and binary forms, with or without
11 modification, are permitted provided that the following conditions are met:
12 
13  1. Redistributions of source code must retain the above copyright notice,
14     this list of conditions, and the following disclaimer.
15 
16  2. Redistributions in binary form must reproduce the above copyright notice,
17     this list of conditions, and the following disclaimer in the documentation
18     and/or other materials provided with the distribution.
19 
20  3. Neither the name of the University nor the names of its contributors may
21     be used to endorse or promote products derived from this software without
22     specific prior written permission.
23 
24 THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS "AS IS", AND ANY
25 EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
26 WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE, ARE
27 DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE FOR ANY
28 DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
29 (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
30 LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
31 ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
32 (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
33 SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
34 
35 =============================================================================*/
36 
37 #ifndef internals_h
38 #define internals_h 1
39 
40 #include <stdbool.h>
41 #include <stdint.h>
42 #include "primitives.h"
43 #include "softfloat_types.h"
44 
45 union ui16_f16 { uint16_t ui; float16_t f; };
46 union ui32_f32 { uint32_t ui; float32_t f; };
47 union ui64_f64 { uint64_t ui; float64_t f; };
48 
49 #ifdef SOFTFLOAT_FAST_INT64
50 union extF80M_extF80 { struct extFloat80M fM; extFloat80_t f; };
51 union ui128_f128 { struct uint128 ui; float128_t f; };
52 #endif
53 
54 enum {
55     softfloat_mulAdd_subC    = 1,
56     softfloat_mulAdd_subProd = 2
57 };
58 
59 /*----------------------------------------------------------------------------
60 *----------------------------------------------------------------------------*/
61 uint_fast32_t softfloat_roundToUI32( bool, uint_fast64_t, uint_fast8_t, bool );
62 
63 #ifdef SOFTFLOAT_FAST_INT64
64 uint_fast64_t
65  softfloat_roundToUI64(
66      bool, uint_fast64_t, uint_fast64_t, uint_fast8_t, bool );
67 #else
68 uint_fast64_t softfloat_roundMToUI64( bool, uint32_t *, uint_fast8_t, bool );
69 #endif
70 
71 int_fast32_t softfloat_roundToI32( bool, uint_fast64_t, uint_fast8_t, bool );
72 
73 #ifdef SOFTFLOAT_FAST_INT64
74 int_fast64_t
75  softfloat_roundToI64(
76      bool, uint_fast64_t, uint_fast64_t, uint_fast8_t, bool );
77 #else
78 int_fast64_t softfloat_roundMToI64( bool, uint32_t *, uint_fast8_t, bool );
79 #endif
80 
81 /*----------------------------------------------------------------------------
82 *----------------------------------------------------------------------------*/
83 #define signF16UI( a ) ((bool) ((uint16_t) (a)>>15))
84 #define expF16UI( a ) ((int_fast8_t) ((a)>>10) & 0x1F)
85 #define fracF16UI( a ) ((a) & 0x03FF)
86 #define packToF16UI( sign, exp, sig ) (((uint16_t) (sign)<<15) + ((uint16_t) (exp)<<10) + (sig))
87 
88 #define isNaNF16UI( a ) (((~(a) & 0x7C00) == 0) && ((a) & 0x03FF))
89 
90 struct exp8_sig16 { int_fast8_t exp; uint_fast16_t sig; };
91 struct exp8_sig16 softfloat_normSubnormalF16Sig( uint_fast16_t );
92 
93 float16_t softfloat_roundPackToF16( bool, int_fast16_t, uint_fast16_t );
94 float16_t softfloat_normRoundPackToF16( bool, int_fast16_t, uint_fast16_t );
95 
96 float16_t softfloat_addMagsF16( uint_fast16_t, uint_fast16_t );
97 float16_t softfloat_subMagsF16( uint_fast16_t, uint_fast16_t );
98 float16_t
99  softfloat_mulAddF16(
100      uint_fast16_t, uint_fast16_t, uint_fast16_t, uint_fast8_t );
101 
102 /*----------------------------------------------------------------------------
103 *----------------------------------------------------------------------------*/
104 #define signF32UI( a ) ((bool) ((uint32_t) (a)>>31))
105 #define expF32UI( a ) ((int_fast16_t) ((a)>>23) & 0xFF)
106 #define fracF32UI( a ) ((a) & 0x007FFFFF)
107 #define packToF32UI( sign, exp, sig ) (((uint32_t) (sign)<<31) + ((uint32_t) (exp)<<23) + (sig))
108 
109 #define isNaNF32UI( a ) (((~(a) & 0x7F800000) == 0) && ((a) & 0x007FFFFF))
110 
111 struct exp16_sig32 { int_fast16_t exp; uint_fast32_t sig; };
112 struct exp16_sig32 softfloat_normSubnormalF32Sig( uint_fast32_t );
113 
114 float32_t softfloat_roundPackToF32( bool, int_fast16_t, uint_fast32_t );
115 float32_t softfloat_normRoundPackToF32( bool, int_fast16_t, uint_fast32_t );
116 
117 float32_t softfloat_addMagsF32( uint_fast32_t, uint_fast32_t );
118 float32_t softfloat_subMagsF32( uint_fast32_t, uint_fast32_t );
119 float32_t
120  softfloat_mulAddF32(
121      uint_fast32_t, uint_fast32_t, uint_fast32_t, uint_fast8_t );
122 
123 /*----------------------------------------------------------------------------
124 *----------------------------------------------------------------------------*/
125 #define signF64UI( a ) ((bool) ((uint64_t) (a)>>63))
126 #define expF64UI( a ) ((int_fast16_t) ((a)>>52) & 0x7FF)
127 #define fracF64UI( a ) ((a) & UINT64_C( 0x000FFFFFFFFFFFFF ))
128 #define packToF64UI( sign, exp, sig ) ((uint64_t) (((uint_fast64_t) (sign)<<63) + ((uint_fast64_t) (exp)<<52) + (sig)))
129 
130 #define isNaNF64UI( a ) (((~(a) & UINT64_C( 0x7FF0000000000000 )) == 0) && ((a) & UINT64_C( 0x000FFFFFFFFFFFFF )))
131 
132 struct exp16_sig64 { int_fast16_t exp; uint_fast64_t sig; };
133 struct exp16_sig64 softfloat_normSubnormalF64Sig( uint_fast64_t );
134 
135 float64_t softfloat_roundPackToF64( bool, int_fast16_t, uint_fast64_t );
136 float64_t softfloat_normRoundPackToF64( bool, int_fast16_t, uint_fast64_t );
137 
138 float64_t softfloat_addMagsF64( uint_fast64_t, uint_fast64_t, bool );
139 float64_t softfloat_subMagsF64( uint_fast64_t, uint_fast64_t, bool );
140 float64_t
141  softfloat_mulAddF64(
142      uint_fast64_t, uint_fast64_t, uint_fast64_t, uint_fast8_t );
143 
144 /*----------------------------------------------------------------------------
145 *----------------------------------------------------------------------------*/
146 #define signExtF80UI64( a64 ) ((bool) ((uint16_t) (a64)>>15))
147 #define expExtF80UI64( a64 ) ((a64) & 0x7FFF)
148 #define packToExtF80UI64( sign, exp ) ((uint_fast16_t) (sign)<<15 | (exp))
149 
150 #define isNaNExtF80UI( a64, a0 ) ((((a64) & 0x7FFF) == 0x7FFF) && ((a0) & UINT64_C( 0x7FFFFFFFFFFFFFFF )))
151 
152 #ifdef SOFTFLOAT_FAST_INT64
153 
154 /*----------------------------------------------------------------------------
155 *----------------------------------------------------------------------------*/
156 
157 struct exp32_sig64 { int_fast32_t exp; uint64_t sig; };
158 struct exp32_sig64 softfloat_normSubnormalExtF80Sig( uint_fast64_t );
159 
160 extFloat80_t
161  softfloat_roundPackToExtF80(
162      bool, int_fast32_t, uint_fast64_t, uint_fast64_t, uint_fast8_t );
163 extFloat80_t
164  softfloat_normRoundPackToExtF80(
165      bool, int_fast32_t, uint_fast64_t, uint_fast64_t, uint_fast8_t );
166 
167 extFloat80_t
168  softfloat_addMagsExtF80(
169      uint_fast16_t, uint_fast64_t, uint_fast16_t, uint_fast64_t, bool );
170 extFloat80_t
171  softfloat_subMagsExtF80(
172      uint_fast16_t, uint_fast64_t, uint_fast16_t, uint_fast64_t, bool );
173 
174 /*----------------------------------------------------------------------------
175 *----------------------------------------------------------------------------*/
176 #define signF128UI64( a64 ) ((bool) ((uint64_t) (a64)>>63))
177 #define expF128UI64( a64 ) ((int_fast32_t) ((a64)>>48) & 0x7FFF)
178 #define fracF128UI64( a64 ) ((a64) & UINT64_C( 0x0000FFFFFFFFFFFF ))
179 #define packToF128UI64( sign, exp, sig64 ) (((uint_fast64_t) (sign)<<63) + ((uint_fast64_t) (exp)<<48) + (sig64))
180 
181 #define isNaNF128UI( a64, a0 ) (((~(a64) & UINT64_C( 0x7FFF000000000000 )) == 0) && (a0 || ((a64) & UINT64_C( 0x0000FFFFFFFFFFFF ))))
182 
183 struct exp32_sig128 { int_fast32_t exp; struct uint128 sig; };
184 struct exp32_sig128
185  softfloat_normSubnormalF128Sig( uint_fast64_t, uint_fast64_t );
186 
187 float128_t
188  softfloat_roundPackToF128(
189      bool, int_fast32_t, uint_fast64_t, uint_fast64_t, uint_fast64_t );
190 float128_t
191  softfloat_normRoundPackToF128(
192      bool, int_fast32_t, uint_fast64_t, uint_fast64_t );
193 
194 float128_t
195  softfloat_addMagsF128(
196      uint_fast64_t, uint_fast64_t, uint_fast64_t, uint_fast64_t, bool );
197 float128_t
198  softfloat_subMagsF128(
199      uint_fast64_t, uint_fast64_t, uint_fast64_t, uint_fast64_t, bool );
200 float128_t
201  softfloat_mulAddF128(
202      uint_fast64_t,
203      uint_fast64_t,
204      uint_fast64_t,
205      uint_fast64_t,
206      uint_fast64_t,
207      uint_fast64_t,
208      uint_fast8_t
209  );
210 
211 #else
212 
213 /*----------------------------------------------------------------------------
214 *----------------------------------------------------------------------------*/
215 
216 bool
217  softfloat_tryPropagateNaNExtF80M(
218      const struct extFloat80M *,
219      const struct extFloat80M *,
220      struct extFloat80M *
221  );
222 void softfloat_invalidExtF80M( struct extFloat80M * );
223 
224 int softfloat_normExtF80SigM( uint64_t * );
225 
226 void
227  softfloat_roundPackMToExtF80M(
228      bool, int32_t, uint32_t *, uint_fast8_t, struct extFloat80M * );
229 void
230  softfloat_normRoundPackMToExtF80M(
231      bool, int32_t, uint32_t *, uint_fast8_t, struct extFloat80M * );
232 
233 void
234  softfloat_addExtF80M(
235      const struct extFloat80M *,
236      const struct extFloat80M *,
237      struct extFloat80M *,
238      bool
239  );
240 
241 int
242  softfloat_compareNonnormExtF80M(
243      const struct extFloat80M *, const struct extFloat80M * );
244 
245 /*----------------------------------------------------------------------------
246 *----------------------------------------------------------------------------*/
247 #define signF128UI96( a96 ) ((bool) ((uint32_t) (a96)>>31))
248 #define expF128UI96( a96 ) ((int32_t) ((a96)>>16) & 0x7FFF)
249 #define fracF128UI96( a96 ) ((a96) & 0x0000FFFF)
250 #define packToF128UI96( sign, exp, sig96 ) (((uint32_t) (sign)<<31) + ((uint32_t) (exp)<<16) + (sig96))
251 
252 bool softfloat_isNaNF128M( const uint32_t * );
253 
254 bool
255  softfloat_tryPropagateNaNF128M(
256      const uint32_t *, const uint32_t *, uint32_t * );
257 void softfloat_invalidF128M( uint32_t * );
258 
259 int softfloat_shiftNormSigF128M( const uint32_t *, uint_fast8_t, uint32_t * );
260 
261 void softfloat_roundPackMToF128M( bool, int32_t, uint32_t *, uint32_t * );
262 void softfloat_normRoundPackMToF128M( bool, int32_t, uint32_t *, uint32_t * );
263 
264 void
265  softfloat_addF128M( const uint32_t *, const uint32_t *, uint32_t *, bool );
266 void
267  softfloat_mulAddF128M(
268      const uint32_t *,
269      const uint32_t *,
270      const uint32_t *,
271      uint32_t *,
272      uint_fast8_t
273  );
274 
275 #endif
276 
277 #endif
278 
279