2 /*============================================================================
4 This C header file is part of the SoftFloat IEEE Floating-Point Arithmetic
5 Package, Release 3d, by John R. Hauser.
7 Copyright 2011, 2012, 2013, 2014, 2015, 2016, 2017 The Regents of the
8 University of California. All rights reserved.
10 Redistribution and use in source and binary forms, with or without
11 modification, are permitted provided that the following conditions are met:
13 1. Redistributions of source code must retain the above copyright notice,
14 this list of conditions, and the following disclaimer.
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.
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.
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.
35 =============================================================================*/
42 #include "primitives.h"
43 #include "softfloat_types.h"
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
; };
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
; };
59 softfloat_mulAdd_subC
= 1,
60 softfloat_mulAdd_subProd
= 2
63 /*----------------------------------------------------------------------------
64 *----------------------------------------------------------------------------*/
65 uint_fast32_t softfloat_roundToUI32( bool, uint_fast64_t, uint_fast8_t, bool );
67 #ifdef SOFTFLOAT_FAST_INT64
69 softfloat_roundToUI64(
70 bool, uint_fast64_t, uint_fast64_t, uint_fast8_t, bool );
72 uint_fast64_t softfloat_roundMToUI64( bool, uint32_t *, uint_fast8_t, bool );
75 int_fast32_t softfloat_roundToI32( bool, uint_fast64_t, uint_fast8_t, bool );
77 #ifdef SOFTFLOAT_FAST_INT64
80 bool, uint_fast64_t, uint_fast64_t, uint_fast8_t, bool );
82 int_fast64_t softfloat_roundMToI64( bool, uint32_t *, uint_fast8_t, bool );
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))
92 #define isNaNF16UI( a ) (((~(a) & 0x7C00) == 0) && ((a) & 0x03FF))
94 struct exp8_sig16
{ int_fast8_t exp
; uint_fast16_t sig
; };
95 struct exp8_sig16
softfloat_normSubnormalF16Sig( uint_fast16_t );
97 float16_t
softfloat_roundPackToF16( bool, int_fast16_t, uint_fast16_t );
98 float16_t
softfloat_normRoundPackToF16( bool, int_fast16_t, uint_fast16_t );
100 float16_t
softfloat_addMagsF16( uint_fast16_t, uint_fast16_t );
101 float16_t
softfloat_subMagsF16( uint_fast16_t, uint_fast16_t );
104 uint_fast16_t, uint_fast16_t, uint_fast16_t, uint_fast8_t );
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))
113 #define isNaNF32UI( a ) (((~(a) & 0x7F800000) == 0) && ((a) & 0x007FFFFF))
115 struct exp16_sig32
{ int_fast16_t exp
; uint_fast32_t sig
; };
116 struct exp16_sig32
softfloat_normSubnormalF32Sig( uint_fast32_t );
118 float32_t
softfloat_roundPackToF32( bool, int_fast16_t, uint_fast32_t );
119 float32_t
softfloat_normRoundPackToF32( bool, int_fast16_t, uint_fast32_t );
121 float32_t
softfloat_addMagsF32( uint_fast32_t, uint_fast32_t );
122 float32_t
softfloat_subMagsF32( uint_fast32_t, uint_fast32_t );
125 uint_fast32_t, uint_fast32_t, uint_fast32_t, uint_fast8_t );
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)))
134 #define isNaNF64UI( a ) (((~(a) & UINT64_C( 0x7FF0000000000000 )) == 0) && ((a) & UINT64_C( 0x000FFFFFFFFFFFFF )))
136 struct exp16_sig64
{ int_fast16_t exp
; uint_fast64_t sig
; };
137 struct exp16_sig64
softfloat_normSubnormalF64Sig( uint_fast64_t );
139 float64_t
softfloat_roundPackToF64( bool, int_fast16_t, uint_fast64_t );
140 float64_t
softfloat_normRoundPackToF64( bool, int_fast16_t, uint_fast64_t );
142 float64_t
softfloat_addMagsF64( uint_fast64_t, uint_fast64_t, bool );
143 float64_t
softfloat_subMagsF64( uint_fast64_t, uint_fast64_t, bool );
146 uint_fast64_t, uint_fast64_t, uint_fast64_t, uint_fast8_t );
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))
154 #define isNaNExtF80UI( a64, a0 ) ((((a64) & 0x7FFF) == 0x7FFF) && ((a0) & UINT64_C( 0x7FFFFFFFFFFFFFFF )))
156 #ifdef SOFTFLOAT_FAST_INT64
158 /*----------------------------------------------------------------------------
159 *----------------------------------------------------------------------------*/
161 struct exp32_sig64
{ int_fast32_t exp
; uint64_t sig
; };
162 struct exp32_sig64
softfloat_normSubnormalExtF80Sig( uint_fast64_t );
165 softfloat_roundPackToExtF80(
166 bool, int_fast32_t, uint_fast64_t, uint_fast64_t, uint_fast8_t );
168 softfloat_normRoundPackToExtF80(
169 bool, int_fast32_t, uint_fast64_t, uint_fast64_t, uint_fast8_t );
172 softfloat_addMagsExtF80(
173 uint_fast16_t, uint_fast64_t, uint_fast16_t, uint_fast64_t, bool );
175 softfloat_subMagsExtF80(
176 uint_fast16_t, uint_fast64_t, uint_fast16_t, uint_fast64_t, bool );
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))
185 #define isNaNF128UI( a64, a0 ) (((~(a64) & UINT64_C( 0x7FFF000000000000 )) == 0) && (a0 || ((a64) & UINT64_C( 0x0000FFFFFFFFFFFF ))))
187 struct exp32_sig128
{ int_fast32_t exp
; struct uint128 sig
; };
189 softfloat_normSubnormalF128Sig( uint_fast64_t, uint_fast64_t );
192 softfloat_roundPackToF128(
193 bool, int_fast32_t, uint_fast64_t, uint_fast64_t, uint_fast64_t );
195 softfloat_normRoundPackToF128(
196 bool, int_fast32_t, uint_fast64_t, uint_fast64_t );
199 softfloat_addMagsF128(
200 uint_fast64_t, uint_fast64_t, uint_fast64_t, uint_fast64_t, bool );
202 softfloat_subMagsF128(
203 uint_fast64_t, uint_fast64_t, uint_fast64_t, uint_fast64_t, bool );
205 softfloat_mulAddF128(
217 /*----------------------------------------------------------------------------
218 *----------------------------------------------------------------------------*/
221 softfloat_tryPropagateNaNExtF80M(
222 const struct extFloat80M
*,
223 const struct extFloat80M
*,
226 void softfloat_invalidExtF80M( struct extFloat80M
* );
228 int softfloat_normExtF80SigM( uint64_t * );
231 softfloat_roundPackMToExtF80M(
232 bool, int32_t, uint32_t *, uint_fast8_t, struct extFloat80M
* );
234 softfloat_normRoundPackMToExtF80M(
235 bool, int32_t, uint32_t *, uint_fast8_t, struct extFloat80M
* );
238 softfloat_addExtF80M(
239 const struct extFloat80M
*,
240 const struct extFloat80M
*,
241 struct extFloat80M
*,
246 softfloat_compareNonnormExtF80M(
247 const struct extFloat80M
*, const struct extFloat80M
* );
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))
256 bool softfloat_isNaNF128M( const uint32_t * );
259 softfloat_tryPropagateNaNF128M(
260 const uint32_t *, const uint32_t *, uint32_t * );
261 void softfloat_invalidF128M( uint32_t * );
263 int softfloat_shiftNormSigF128M( const uint32_t *, uint_fast8_t, uint32_t * );
265 void softfloat_roundPackMToF128M( bool, int32_t, uint32_t *, uint32_t * );
266 void softfloat_normRoundPackMToF128M( bool, int32_t, uint32_t *, uint32_t * );
269 softfloat_addF128M( const uint32_t *, const uint32_t *, uint32_t *, bool );
271 softfloat_mulAddF128M(