1 
2 /*============================================================================
3 
4 This C header file is part of the SoftFloat IEEE Floating-Point Arithmetic
5 Package, Release 3d, 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 #ifdef __cplusplus
46 extern "C" {
47 #endif
48 
49 union ui16_f16 { uint16_t ui; float16_t f; };
50 union ui32_f32 { uint32_t ui; float32_t f; };
51 union ui64_f64 { uint64_t ui; float64_t f; };
52 
53 #ifdef SOFTFLOAT_FAST_INT64
54 union extF80M_extF80 { struct extFloat80M fM; extFloat80_t f; };
55 union ui128_f128 { struct uint128 ui; float128_t f; };
56 #endif
57 
58 enum {
59     softfloat_mulAdd_subC    = 1,
60     softfloat_mulAdd_subProd = 2
61 };
62 
63 /*----------------------------------------------------------------------------
64 *----------------------------------------------------------------------------*/
65 uint_fast32_t softfloat_roundToUI32( bool, uint_fast64_t, uint_fast8_t, bool );
66 
67 #ifdef SOFTFLOAT_FAST_INT64
68 uint_fast64_t
69  softfloat_roundToUI64(
70      bool, uint_fast64_t, uint_fast64_t, uint_fast8_t, bool );
71 #else
72 uint_fast64_t softfloat_roundMToUI64( bool, uint32_t *, uint_fast8_t, bool );
73 #endif
74 
75 int_fast32_t softfloat_roundToI32( bool, uint_fast64_t, uint_fast8_t, bool );
76 
77 #ifdef SOFTFLOAT_FAST_INT64
78 int_fast64_t
79  softfloat_roundToI64(
80      bool, uint_fast64_t, uint_fast64_t, uint_fast8_t, bool );
81 #else
82 int_fast64_t softfloat_roundMToI64( bool, uint32_t *, uint_fast8_t, bool );
83 #endif
84 
85 /*----------------------------------------------------------------------------
86 *----------------------------------------------------------------------------*/
87 #define signF16UI( a ) ((bool) ((uint16_t) (a)>>15))
88 #define expF16UI( a ) ((int_fast8_t) ((a)>>10) & 0x1F)
89 #define fracF16UI( a ) ((a) & 0x03FF)
90 #define packToF16UI( sign, exp, sig ) (((uint16_t) (sign)<<15) + ((uint16_t) (exp)<<10) + (sig))
91 
92 #define isNaNF16UI( a ) (((~(a) & 0x7C00) == 0) && ((a) & 0x03FF))
93 
94 struct exp8_sig16 { int_fast8_t exp; uint_fast16_t sig; };
95 struct exp8_sig16 softfloat_normSubnormalF16Sig( uint_fast16_t );
96 
97 float16_t softfloat_roundPackToF16( bool, int_fast16_t, uint_fast16_t );
98 float16_t softfloat_normRoundPackToF16( bool, int_fast16_t, uint_fast16_t );
99 
100 float16_t softfloat_addMagsF16( uint_fast16_t, uint_fast16_t );
101 float16_t softfloat_subMagsF16( uint_fast16_t, uint_fast16_t );
102 float16_t
103  softfloat_mulAddF16(
104      uint_fast16_t, uint_fast16_t, uint_fast16_t, uint_fast8_t );
105 
106 /*----------------------------------------------------------------------------
107 *----------------------------------------------------------------------------*/
108 #define signF32UI( a ) ((bool) ((uint32_t) (a)>>31))
109 #define expF32UI( a ) ((int_fast16_t) ((a)>>23) & 0xFF)
110 #define fracF32UI( a ) ((a) & 0x007FFFFF)
111 #define packToF32UI( sign, exp, sig ) (((uint32_t) (sign)<<31) + ((uint32_t) (exp)<<23) + (sig))
112 
113 #define isNaNF32UI( a ) (((~(a) & 0x7F800000) == 0) && ((a) & 0x007FFFFF))
114 
115 struct exp16_sig32 { int_fast16_t exp; uint_fast32_t sig; };
116 struct exp16_sig32 softfloat_normSubnormalF32Sig( uint_fast32_t );
117 
118 float32_t softfloat_roundPackToF32( bool, int_fast16_t, uint_fast32_t );
119 float32_t softfloat_normRoundPackToF32( bool, int_fast16_t, uint_fast32_t );
120 
121 float32_t softfloat_addMagsF32( uint_fast32_t, uint_fast32_t );
122 float32_t softfloat_subMagsF32( uint_fast32_t, uint_fast32_t );
123 float32_t
124  softfloat_mulAddF32(
125      uint_fast32_t, uint_fast32_t, uint_fast32_t, uint_fast8_t );
126 
127 /*----------------------------------------------------------------------------
128 *----------------------------------------------------------------------------*/
129 #define signF64UI( a ) ((bool) ((uint64_t) (a)>>63))
130 #define expF64UI( a ) ((int_fast16_t) ((a)>>52) & 0x7FF)
131 #define fracF64UI( a ) ((a) & UINT64_C( 0x000FFFFFFFFFFFFF ))
132 #define packToF64UI( sign, exp, sig ) ((uint64_t) (((uint_fast64_t) (sign)<<63) + ((uint_fast64_t) (exp)<<52) + (sig)))
133 
134 #define isNaNF64UI( a ) (((~(a) & UINT64_C( 0x7FF0000000000000 )) == 0) && ((a) & UINT64_C( 0x000FFFFFFFFFFFFF )))
135 
136 struct exp16_sig64 { int_fast16_t exp; uint_fast64_t sig; };
137 struct exp16_sig64 softfloat_normSubnormalF64Sig( uint_fast64_t );
138 
139 float64_t softfloat_roundPackToF64( bool, int_fast16_t, uint_fast64_t );
140 float64_t softfloat_normRoundPackToF64( bool, int_fast16_t, uint_fast64_t );
141 
142 float64_t softfloat_addMagsF64( uint_fast64_t, uint_fast64_t, bool );
143 float64_t softfloat_subMagsF64( uint_fast64_t, uint_fast64_t, bool );
144 float64_t
145  softfloat_mulAddF64(
146      uint_fast64_t, uint_fast64_t, uint_fast64_t, uint_fast8_t );
147 
148 /*----------------------------------------------------------------------------
149 *----------------------------------------------------------------------------*/
150 #define signExtF80UI64( a64 ) ((bool) ((uint16_t) (a64)>>15))
151 #define expExtF80UI64( a64 ) ((a64) & 0x7FFF)
152 #define packToExtF80UI64( sign, exp ) ((uint_fast16_t) (sign)<<15 | (exp))
153 
154 #define isNaNExtF80UI( a64, a0 ) ((((a64) & 0x7FFF) == 0x7FFF) && ((a0) & UINT64_C( 0x7FFFFFFFFFFFFFFF )))
155 
156 #ifdef SOFTFLOAT_FAST_INT64
157 
158 /*----------------------------------------------------------------------------
159 *----------------------------------------------------------------------------*/
160 
161 struct exp32_sig64 { int_fast32_t exp; uint64_t sig; };
162 struct exp32_sig64 softfloat_normSubnormalExtF80Sig( uint_fast64_t );
163 
164 extFloat80_t
165  softfloat_roundPackToExtF80(
166      bool, int_fast32_t, uint_fast64_t, uint_fast64_t, uint_fast8_t );
167 extFloat80_t
168  softfloat_normRoundPackToExtF80(
169      bool, int_fast32_t, uint_fast64_t, uint_fast64_t, uint_fast8_t );
170 
171 extFloat80_t
172  softfloat_addMagsExtF80(
173      uint_fast16_t, uint_fast64_t, uint_fast16_t, uint_fast64_t, bool );
174 extFloat80_t
175  softfloat_subMagsExtF80(
176      uint_fast16_t, uint_fast64_t, uint_fast16_t, uint_fast64_t, bool );
177 
178 /*----------------------------------------------------------------------------
179 *----------------------------------------------------------------------------*/
180 #define signF128UI64( a64 ) ((bool) ((uint64_t) (a64)>>63))
181 #define expF128UI64( a64 ) ((int_fast32_t) ((a64)>>48) & 0x7FFF)
182 #define fracF128UI64( a64 ) ((a64) & UINT64_C( 0x0000FFFFFFFFFFFF ))
183 #define packToF128UI64( sign, exp, sig64 ) (((uint_fast64_t) (sign)<<63) + ((uint_fast64_t) (exp)<<48) + (sig64))
184 
185 #define isNaNF128UI( a64, a0 ) (((~(a64) & UINT64_C( 0x7FFF000000000000 )) == 0) && (a0 || ((a64) & UINT64_C( 0x0000FFFFFFFFFFFF ))))
186 
187 struct exp32_sig128 { int_fast32_t exp; struct uint128 sig; };
188 struct exp32_sig128
189  softfloat_normSubnormalF128Sig( uint_fast64_t, uint_fast64_t );
190 
191 float128_t
192  softfloat_roundPackToF128(
193      bool, int_fast32_t, uint_fast64_t, uint_fast64_t, uint_fast64_t );
194 float128_t
195  softfloat_normRoundPackToF128(
196      bool, int_fast32_t, uint_fast64_t, uint_fast64_t );
197 
198 float128_t
199  softfloat_addMagsF128(
200      uint_fast64_t, uint_fast64_t, uint_fast64_t, uint_fast64_t, bool );
201 float128_t
202  softfloat_subMagsF128(
203      uint_fast64_t, uint_fast64_t, uint_fast64_t, uint_fast64_t, bool );
204 float128_t
205  softfloat_mulAddF128(
206      uint_fast64_t,
207      uint_fast64_t,
208      uint_fast64_t,
209      uint_fast64_t,
210      uint_fast64_t,
211      uint_fast64_t,
212      uint_fast8_t
213  );
214 
215 #else
216 
217 /*----------------------------------------------------------------------------
218 *----------------------------------------------------------------------------*/
219 
220 bool
221  softfloat_tryPropagateNaNExtF80M(
222      const struct extFloat80M *,
223      const struct extFloat80M *,
224      struct extFloat80M *
225  );
226 void softfloat_invalidExtF80M( struct extFloat80M * );
227 
228 int softfloat_normExtF80SigM( uint64_t * );
229 
230 void
231  softfloat_roundPackMToExtF80M(
232      bool, int32_t, uint32_t *, uint_fast8_t, struct extFloat80M * );
233 void
234  softfloat_normRoundPackMToExtF80M(
235      bool, int32_t, uint32_t *, uint_fast8_t, struct extFloat80M * );
236 
237 void
238  softfloat_addExtF80M(
239      const struct extFloat80M *,
240      const struct extFloat80M *,
241      struct extFloat80M *,
242      bool
243  );
244 
245 int
246  softfloat_compareNonnormExtF80M(
247      const struct extFloat80M *, const struct extFloat80M * );
248 
249 /*----------------------------------------------------------------------------
250 *----------------------------------------------------------------------------*/
251 #define signF128UI96( a96 ) ((bool) ((uint32_t) (a96)>>31))
252 #define expF128UI96( a96 ) ((int32_t) ((a96)>>16) & 0x7FFF)
253 #define fracF128UI96( a96 ) ((a96) & 0x0000FFFF)
254 #define packToF128UI96( sign, exp, sig96 ) (((uint32_t) (sign)<<31) + ((uint32_t) (exp)<<16) + (sig96))
255 
256 bool softfloat_isNaNF128M( const uint32_t * );
257 
258 bool
259  softfloat_tryPropagateNaNF128M(
260      const uint32_t *, const uint32_t *, uint32_t * );
261 void softfloat_invalidF128M( uint32_t * );
262 
263 int softfloat_shiftNormSigF128M( const uint32_t *, uint_fast8_t, uint32_t * );
264 
265 void softfloat_roundPackMToF128M( bool, int32_t, uint32_t *, uint32_t * );
266 void softfloat_normRoundPackMToF128M( bool, int32_t, uint32_t *, uint32_t * );
267 
268 void
269  softfloat_addF128M( const uint32_t *, const uint32_t *, uint32_t *, bool );
270 void
271  softfloat_mulAddF128M(
272      const uint32_t *,
273      const uint32_t *,
274      const uint32_t *,
275      uint32_t *,
276      uint_fast8_t
277  );
278 
279 #endif
280 
281 #ifdef __cplusplus
282 }
283 #endif
284 
285 #endif
286 
287