2 /*============================================================================
4 This C header file is part of the SoftFloat IEEE Floating-Point Arithmetic
5 Package, Release 3a, by John R. Hauser.
7 Copyright 2011, 2012, 2013, 2014 The Regents of the University of California.
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"
45 union ui32_f32
{ uint32_t ui
; float32_t f
; };
46 union ui64_f64
{ uint64_t ui
; float64_t f
; };
48 #ifdef SOFTFLOAT_FAST_INT64
49 union extF80M_extF80
{ struct extFloat80M fM
; extFloat80_t f
; };
50 union ui128_f128
{ struct uint128 ui
; float128_t f
; };
54 softfloat_mulAdd_subC
= 1,
55 softfloat_mulAdd_subProd
= 2
58 /*----------------------------------------------------------------------------
59 *----------------------------------------------------------------------------*/
61 softfloat_roundPackToUI32( bool, uint_fast64_t, uint_fast8_t, bool );
63 #ifdef SOFTFLOAT_FAST_INT64
65 softfloat_roundPackToUI64(
66 bool, uint_fast64_t, uint_fast64_t, uint_fast8_t, bool );
69 softfloat_roundPackMToUI64( bool, uint32_t *, uint_fast8_t, bool );
73 softfloat_roundPackToI32( bool, uint_fast64_t, uint_fast8_t, bool );
75 #ifdef SOFTFLOAT_FAST_INT64
77 softfloat_roundPackToI64(
78 bool, uint_fast64_t, uint_fast64_t, uint_fast8_t, bool );
80 int_fast64_t softfloat_roundPackMToI64( bool, uint32_t *, uint_fast8_t, bool );
83 /*----------------------------------------------------------------------------
84 *----------------------------------------------------------------------------*/
85 #define signF32UI( a ) ((bool) ((uint32_t) (a)>>31))
86 #define expF32UI( a ) ((int_fast16_t) ((a)>>23) & 0xFF)
87 #define fracF32UI( a ) ((a) & 0x007FFFFF)
88 #define packToF32UI( sign, exp, sig ) (((uint32_t) (sign)<<31) + ((uint32_t) (exp)<<23) + (sig))
90 #define isNaNF32UI( a ) ((((a) & 0x7F800000) == 0x7F800000) && ((a) & 0x007FFFFF))
92 struct exp16_sig32
{ int_fast16_t exp
; uint_fast32_t sig
; };
93 struct exp16_sig32
softfloat_normSubnormalF32Sig( uint_fast32_t );
95 float32_t
softfloat_roundPackToF32( bool, int_fast16_t, uint_fast32_t );
96 float32_t
softfloat_normRoundPackToF32( bool, int_fast16_t, uint_fast32_t );
98 float32_t
softfloat_addMagsF32( uint_fast32_t, uint_fast32_t, bool );
99 float32_t
softfloat_subMagsF32( uint_fast32_t, uint_fast32_t, bool );
102 uint_fast32_t, uint_fast32_t, uint_fast32_t, uint_fast8_t );
104 /*----------------------------------------------------------------------------
105 *----------------------------------------------------------------------------*/
106 #define signF64UI( a ) ((bool) ((uint64_t) (a)>>63))
107 #define expF64UI( a ) ((int_fast16_t) ((a)>>52) & 0x7FF)
108 #define fracF64UI( a ) ((a) & UINT64_C( 0x000FFFFFFFFFFFFF ))
109 #define packToF64UI( sign, exp, sig ) ((uint64_t) (((uint_fast64_t) (sign)<<63) + ((uint_fast64_t) (exp)<<52) + (sig)))
111 #define isNaNF64UI( a ) ((((a) & UINT64_C( 0x7FF0000000000000 )) == UINT64_C( 0x7FF0000000000000 )) && ((a) & UINT64_C( 0x000FFFFFFFFFFFFF )))
113 struct exp16_sig64
{ int_fast16_t exp
; uint_fast64_t sig
; };
114 struct exp16_sig64
softfloat_normSubnormalF64Sig( uint_fast64_t );
116 float64_t
softfloat_roundPackToF64( bool, int_fast16_t, uint_fast64_t );
117 float64_t
softfloat_normRoundPackToF64( bool, int_fast16_t, uint_fast64_t );
119 float64_t
softfloat_addMagsF64( uint_fast64_t, uint_fast64_t, bool );
120 float64_t
softfloat_subMagsF64( uint_fast64_t, uint_fast64_t, bool );
123 uint_fast64_t, uint_fast64_t, uint_fast64_t, uint_fast8_t );
125 /*----------------------------------------------------------------------------
126 *----------------------------------------------------------------------------*/
127 #define signExtF80UI64( a64 ) ((bool) ((uint16_t) (a64)>>15))
128 #define expExtF80UI64( a64 ) ((a64) & 0x7FFF)
129 #define packToExtF80UI64( sign, exp ) ((uint_fast16_t) (sign)<<15 | (exp))
131 #define isNaNExtF80UI( a64, a0 ) ((((a64) & 0x7FFF) == 0x7FFF) && ((a0) & UINT64_C( 0x7FFFFFFFFFFFFFFF )))
133 #ifdef SOFTFLOAT_FAST_INT64
135 /*----------------------------------------------------------------------------
136 *----------------------------------------------------------------------------*/
138 struct exp32_sig64
{ int_fast32_t exp
; uint64_t sig
; };
139 struct exp32_sig64
softfloat_normSubnormalExtF80Sig( uint_fast64_t );
142 softfloat_roundPackToExtF80(
143 bool, int_fast32_t, uint_fast64_t, uint_fast64_t, uint_fast8_t );
145 softfloat_normRoundPackToExtF80(
146 bool, int_fast32_t, uint_fast64_t, uint_fast64_t, uint_fast8_t );
149 softfloat_addMagsExtF80(
150 uint_fast16_t, uint_fast64_t, uint_fast16_t, uint_fast64_t, bool );
152 softfloat_subMagsExtF80(
153 uint_fast16_t, uint_fast64_t, uint_fast16_t, uint_fast64_t, bool );
155 /*----------------------------------------------------------------------------
156 *----------------------------------------------------------------------------*/
157 #define signF128UI64( a64 ) ((bool) ((uint64_t) (a64)>>63))
158 #define expF128UI64( a64 ) ((int_fast32_t) ((a64)>>48) & 0x7FFF)
159 #define fracF128UI64( a64 ) ((a64) & UINT64_C( 0x0000FFFFFFFFFFFF ))
160 #define packToF128UI64( sign, exp, sig64 ) (((uint_fast64_t) (sign)<<63) + ((uint_fast64_t) (exp)<<48) + (sig64))
162 #define isNaNF128UI( a64, a0 ) ((((a64) & UINT64_C( 0x7FFF000000000000 )) == UINT64_C( 0x7FFF000000000000 )) && (a0 || ((a64) & UINT64_C( 0x0000FFFFFFFFFFFF ))))
164 struct exp32_sig128
{ int_fast32_t exp
; struct uint128 sig
; };
166 softfloat_normSubnormalF128Sig( uint_fast64_t, uint_fast64_t );
169 softfloat_roundPackToF128(
170 bool, int_fast32_t, uint_fast64_t, uint_fast64_t, uint_fast64_t );
172 softfloat_normRoundPackToF128(
173 bool, int_fast32_t, uint_fast64_t, uint_fast64_t );
176 softfloat_addMagsF128(
177 uint_fast64_t, uint_fast64_t, uint_fast64_t, uint_fast64_t, bool );
179 softfloat_subMagsF128(
180 uint_fast64_t, uint_fast64_t, uint_fast64_t, uint_fast64_t, bool );
182 softfloat_mulAddF128(
194 /*----------------------------------------------------------------------------
195 *----------------------------------------------------------------------------*/
198 softfloat_tryPropagateNaNExtF80M(
199 const struct extFloat80M
*,
200 const struct extFloat80M
*,
203 void softfloat_invalidExtF80M( struct extFloat80M
* );
205 int softfloat_normExtF80SigM( uint64_t * );
208 softfloat_roundPackMToExtF80M(
209 bool, int32_t, uint32_t *, uint_fast8_t, struct extFloat80M
* );
211 softfloat_normRoundPackMToExtF80M(
212 bool, int32_t, uint32_t *, uint_fast8_t, struct extFloat80M
* );
215 softfloat_addExtF80M(
216 const struct extFloat80M
*,
217 const struct extFloat80M
*,
218 struct extFloat80M
*,
223 softfloat_compareNonnormExtF80M(
224 const struct extFloat80M
*, const struct extFloat80M
* );
226 /*----------------------------------------------------------------------------
227 *----------------------------------------------------------------------------*/
228 #define signF128UI96( a96 ) ((bool) ((uint32_t) (a96)>>31))
229 #define expF128UI96( a96 ) ((int32_t) ((a96)>>16) & 0x7FFF)
230 #define fracF128UI96( a96 ) ((a96) & 0x0000FFFF)
231 #define packToF128UI96( sign, exp, sig96 ) (((uint32_t) (sign)<<31) + ((uint32_t) (exp)<<16) + (sig96))
233 bool softfloat_isNaNF128M( const uint32_t * );
236 softfloat_tryPropagateNaNF128M(
237 const uint32_t *, const uint32_t *, uint32_t * );
238 void softfloat_invalidF128M( uint32_t * );
240 int softfloat_shiftNormSigF128M( const uint32_t *, uint_fast8_t, uint32_t * );
242 void softfloat_roundPackMToF128M( bool, int32_t, uint32_t *, uint32_t * );
243 void softfloat_normRoundPackMToF128M( bool, int32_t, uint32_t *, uint32_t * );
246 softfloat_addF128M( const uint32_t *, const uint32_t *, uint32_t *, bool );
248 softfloat_mulAddF128M(