2024-07-29 15:33:50 +02:00
|
|
|
|
|
|
|
/*============================================================================
|
|
|
|
|
|
|
|
This C header file is part of the SoftFloat IEEE Floating-Point Arithmetic
|
|
|
|
Package, Release 3e, by John R. Hauser.
|
|
|
|
|
|
|
|
Copyright 2011, 2012, 2013, 2014, 2015, 2016, 2017 The Regents of the
|
|
|
|
University of California. All rights reserved.
|
|
|
|
|
|
|
|
Redistribution and use in source and binary forms, with or without
|
|
|
|
modification, are permitted provided that the following conditions are met:
|
|
|
|
|
|
|
|
1. Redistributions of source code must retain the above copyright notice,
|
|
|
|
this list of conditions, and the following disclaimer.
|
|
|
|
|
|
|
|
2. Redistributions in binary form must reproduce the above copyright notice,
|
|
|
|
this list of conditions, and the following disclaimer in the documentation
|
|
|
|
and/or other materials provided with the distribution.
|
|
|
|
|
|
|
|
3. Neither the name of the University nor the names of its contributors may
|
|
|
|
be used to endorse or promote products derived from this software without
|
|
|
|
specific prior written permission.
|
|
|
|
|
|
|
|
THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS "AS IS", AND ANY
|
|
|
|
EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
|
|
|
|
WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE, ARE
|
|
|
|
DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE FOR ANY
|
|
|
|
DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
|
|
|
|
(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
|
|
|
|
LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
|
|
|
|
ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
|
|
|
|
(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
|
|
|
|
SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
|
|
|
|
|
|
|
|
=============================================================================*/
|
|
|
|
|
|
|
|
#ifndef internals_h
|
|
|
|
#define internals_h 1
|
|
|
|
|
|
|
|
#include <stdbool.h>
|
|
|
|
#include <stdint.h>
|
|
|
|
#include "primitives.h"
|
|
|
|
#include "softfloat_types.h"
|
|
|
|
|
|
|
|
union ui16_f16 { uint16_t ui; float16_t f; };
|
|
|
|
union ui16_bf16 { uint16_t ui; bfloat16_t f; };
|
|
|
|
union ui32_f32 { uint32_t ui; float32_t f; };
|
|
|
|
union ui64_f64 { uint64_t ui; float64_t f; };
|
|
|
|
|
|
|
|
#ifdef SOFTFLOAT_FAST_INT64
|
|
|
|
union extF80M_extF80 { struct extFloat80M fM; extFloat80_t f; };
|
|
|
|
union ui128_f128 { struct uint128 ui; float128_t f; };
|
|
|
|
#endif
|
|
|
|
|
|
|
|
enum {
|
|
|
|
softfloat_mulAdd_subC = 1,
|
|
|
|
softfloat_mulAdd_subProd = 2
|
|
|
|
};
|
|
|
|
|
|
|
|
/*----------------------------------------------------------------------------
|
|
|
|
*----------------------------------------------------------------------------*/
|
|
|
|
uint_fast32_t softfloat_roundToUI32( bool, uint_fast64_t, uint_fast8_t, bool );
|
|
|
|
|
|
|
|
#ifdef SOFTFLOAT_FAST_INT64
|
|
|
|
uint_fast64_t
|
|
|
|
softfloat_roundToUI64(
|
|
|
|
bool, uint_fast64_t, uint_fast64_t, uint_fast8_t, bool );
|
|
|
|
#else
|
|
|
|
uint_fast64_t softfloat_roundMToUI64( bool, uint32_t *, uint_fast8_t, bool );
|
|
|
|
#endif
|
|
|
|
|
|
|
|
int_fast32_t softfloat_roundToI32( bool, uint_fast64_t, uint_fast8_t, bool );
|
|
|
|
|
|
|
|
#ifdef SOFTFLOAT_FAST_INT64
|
|
|
|
int_fast64_t
|
|
|
|
softfloat_roundToI64(
|
|
|
|
bool, uint_fast64_t, uint_fast64_t, uint_fast8_t, bool );
|
|
|
|
#else
|
|
|
|
int_fast64_t softfloat_roundMToI64( bool, uint32_t *, uint_fast8_t, bool );
|
|
|
|
#endif
|
|
|
|
|
|
|
|
/*----------------------------------------------------------------------------
|
|
|
|
*----------------------------------------------------------------------------*/
|
|
|
|
#define signF16UI( a ) ((bool) ((uint16_t) (a)>>15))
|
|
|
|
#define expF16UI( a ) ((int_fast8_t) ((a)>>10) & 0x1F)
|
|
|
|
#define fracF16UI( a ) ((a) & 0x03FF)
|
|
|
|
#define packToF16UI( sign, exp, sig ) (((uint16_t) (sign)<<15) + ((uint16_t) (exp)<<10) + (sig))
|
|
|
|
|
|
|
|
#define isNaNF16UI( a ) (((~(a) & 0x7C00) == 0) && ((a) & 0x03FF))
|
|
|
|
|
|
|
|
struct exp8_sig16 { int_fast8_t exp; uint_fast16_t sig; };
|
|
|
|
struct exp8_sig16 softfloat_normSubnormalF16Sig( uint_fast16_t );
|
|
|
|
|
|
|
|
float16_t softfloat_roundPackToF16( bool, int_fast16_t, uint_fast16_t );
|
|
|
|
float16_t softfloat_normRoundPackToF16( bool, int_fast16_t, uint_fast16_t );
|
|
|
|
|
|
|
|
float16_t softfloat_addMagsF16( uint_fast16_t, uint_fast16_t );
|
|
|
|
float16_t softfloat_subMagsF16( uint_fast16_t, uint_fast16_t );
|
|
|
|
float16_t
|
|
|
|
softfloat_mulAddF16(
|
|
|
|
uint_fast16_t, uint_fast16_t, uint_fast16_t, uint_fast8_t );
|
|
|
|
|
|
|
|
/*----------------------------------------------------------------------------
|
|
|
|
*----------------------------------------------------------------------------*/
|
|
|
|
#define signBF16UI( a ) ((bool) ((uint16_t) (a)>>15))
|
|
|
|
#define expBF16UI( a ) ((int_fast16_t) ((a)>>7) & 0xFF)
|
|
|
|
#define fracBF16UI( a ) ((a) & 0x07F)
|
|
|
|
#define packToBF16UI( sign, exp, sig ) (((uint16_t) (sign)<<15) + ((uint16_t) (exp)<<7) + (sig))
|
|
|
|
|
|
|
|
#define isNaNBF16UI( a ) (((~(a) & 0x7FC0) == 0) && ((a) & 0x07F))
|
|
|
|
|
|
|
|
bfloat16_t softfloat_roundPackToBF16( bool, int_fast16_t, uint_fast16_t );
|
|
|
|
struct exp8_sig16 softfloat_normSubnormalBF16Sig( uint_fast16_t );
|
|
|
|
|
|
|
|
/*----------------------------------------------------------------------------
|
|
|
|
*----------------------------------------------------------------------------*/
|
|
|
|
#define signF32UI( a ) ((bool) ((uint32_t) (a)>>31))
|
|
|
|
#define expF32UI( a ) ((int_fast16_t) ((a)>>23) & 0xFF)
|
|
|
|
#define fracF32UI( a ) ((a) & 0x007FFFFF)
|
|
|
|
#define packToF32UI( sign, exp, sig ) (((uint32_t) (sign)<<31) + ((uint32_t) (exp)<<23) + (sig))
|
|
|
|
|
|
|
|
#define isNaNF32UI( a ) (((~(a) & 0x7F800000) == 0) && ((a) & 0x007FFFFF))
|
|
|
|
|
|
|
|
struct exp16_sig32 { int_fast16_t exp; uint_fast32_t sig; };
|
|
|
|
struct exp16_sig32 softfloat_normSubnormalF32Sig( uint_fast32_t );
|
|
|
|
|
|
|
|
float32_t softfloat_roundPackToF32( bool, int_fast16_t, uint_fast32_t );
|
|
|
|
float32_t softfloat_normRoundPackToF32( bool, int_fast16_t, uint_fast32_t );
|
|
|
|
|
|
|
|
float32_t softfloat_addMagsF32( uint_fast32_t, uint_fast32_t );
|
|
|
|
float32_t softfloat_subMagsF32( uint_fast32_t, uint_fast32_t );
|
|
|
|
float32_t
|
|
|
|
softfloat_mulAddF32(
|
|
|
|
uint_fast32_t, uint_fast32_t, uint_fast32_t, uint_fast8_t );
|
|
|
|
|
|
|
|
/*----------------------------------------------------------------------------
|
|
|
|
*----------------------------------------------------------------------------*/
|
|
|
|
#define signF64UI( a ) ((bool) ((uint64_t) (a)>>63))
|
|
|
|
#define expF64UI( a ) ((int_fast16_t) ((a)>>52) & 0x7FF)
|
|
|
|
#define fracF64UI( a ) ((a) & UINT64_C( 0x000FFFFFFFFFFFFF ))
|
|
|
|
#define packToF64UI( sign, exp, sig ) ((uint64_t) (((uint_fast64_t) (sign)<<63) + ((uint_fast64_t) (exp)<<52) + (sig)))
|
|
|
|
|
|
|
|
#define isNaNF64UI( a ) (((~(a) & UINT64_C( 0x7FF0000000000000 )) == 0) && ((a) & UINT64_C( 0x000FFFFFFFFFFFFF )))
|
|
|
|
|
|
|
|
struct exp16_sig64 { int_fast16_t exp; uint_fast64_t sig; };
|
|
|
|
struct exp16_sig64 softfloat_normSubnormalF64Sig( uint_fast64_t );
|
|
|
|
|
|
|
|
float64_t softfloat_roundPackToF64( bool, int_fast16_t, uint_fast64_t );
|
|
|
|
float64_t softfloat_normRoundPackToF64( bool, int_fast16_t, uint_fast64_t );
|
|
|
|
|
|
|
|
float64_t softfloat_addMagsF64( uint_fast64_t, uint_fast64_t, bool );
|
|
|
|
float64_t softfloat_subMagsF64( uint_fast64_t, uint_fast64_t, bool );
|
|
|
|
float64_t
|
|
|
|
softfloat_mulAddF64(
|
|
|
|
uint_fast64_t, uint_fast64_t, uint_fast64_t, uint_fast8_t );
|
|
|
|
|
|
|
|
/*----------------------------------------------------------------------------
|
|
|
|
*----------------------------------------------------------------------------*/
|
|
|
|
#define signExtF80UI64( a64 ) ((bool) ((uint16_t) (a64)>>15))
|
|
|
|
#define expExtF80UI64( a64 ) ((a64) & 0x7FFF)
|
|
|
|
#define packToExtF80UI64( sign, exp ) ((uint_fast16_t) (sign)<<15 | (exp))
|
|
|
|
|
|
|
|
#define isNaNExtF80UI( a64, a0 ) ((((a64) & 0x7FFF) == 0x7FFF) && ((a0) & UINT64_C( 0x7FFFFFFFFFFFFFFF )))
|
|
|
|
|
|
|
|
#ifdef SOFTFLOAT_FAST_INT64
|
|
|
|
|
|
|
|
/*----------------------------------------------------------------------------
|
|
|
|
*----------------------------------------------------------------------------*/
|
|
|
|
|
|
|
|
struct exp32_sig64 { int_fast32_t exp; uint64_t sig; };
|
|
|
|
struct exp32_sig64 softfloat_normSubnormalExtF80Sig( uint_fast64_t );
|
|
|
|
|
|
|
|
extFloat80_t
|
|
|
|
softfloat_roundPackToExtF80(
|
|
|
|
bool, int_fast32_t, uint_fast64_t, uint_fast64_t, uint_fast8_t );
|
|
|
|
extFloat80_t
|
|
|
|
softfloat_normRoundPackToExtF80(
|
|
|
|
bool, int_fast32_t, uint_fast64_t, uint_fast64_t, uint_fast8_t );
|
|
|
|
|
|
|
|
extFloat80_t
|
|
|
|
softfloat_addMagsExtF80(
|
|
|
|
uint_fast16_t, uint_fast64_t, uint_fast16_t, uint_fast64_t, bool );
|
|
|
|
extFloat80_t
|
|
|
|
softfloat_subMagsExtF80(
|
|
|
|
uint_fast16_t, uint_fast64_t, uint_fast16_t, uint_fast64_t, bool );
|
|
|
|
|
|
|
|
/*----------------------------------------------------------------------------
|
|
|
|
*----------------------------------------------------------------------------*/
|
|
|
|
#define signF128UI64( a64 ) ((bool) ((uint64_t) (a64)>>63))
|
|
|
|
#define expF128UI64( a64 ) ((int_fast32_t) ((a64)>>48) & 0x7FFF)
|
|
|
|
#define fracF128UI64( a64 ) ((a64) & UINT64_C( 0x0000FFFFFFFFFFFF ))
|
|
|
|
#define packToF128UI64( sign, exp, sig64 ) (((uint_fast64_t) (sign)<<63) + ((uint_fast64_t) (exp)<<48) + (sig64))
|
|
|
|
|
|
|
|
#define isNaNF128UI( a64, a0 ) (((~(a64) & UINT64_C( 0x7FFF000000000000 )) == 0) && (a0 || ((a64) & UINT64_C( 0x0000FFFFFFFFFFFF ))))
|
|
|
|
|
|
|
|
struct exp32_sig128 { int_fast32_t exp; struct uint128 sig; };
|
|
|
|
struct exp32_sig128
|
|
|
|
softfloat_normSubnormalF128Sig( uint_fast64_t, uint_fast64_t );
|
|
|
|
|
|
|
|
float128_t
|
|
|
|
softfloat_roundPackToF128(
|
|
|
|
bool, int_fast32_t, uint_fast64_t, uint_fast64_t, uint_fast64_t );
|
|
|
|
float128_t
|
|
|
|
softfloat_normRoundPackToF128(
|
|
|
|
bool, int_fast32_t, uint_fast64_t, uint_fast64_t );
|
|
|
|
|
|
|
|
float128_t
|
|
|
|
softfloat_addMagsF128(
|
|
|
|
uint_fast64_t, uint_fast64_t, uint_fast64_t, uint_fast64_t, bool );
|
|
|
|
float128_t
|
|
|
|
softfloat_subMagsF128(
|
|
|
|
uint_fast64_t, uint_fast64_t, uint_fast64_t, uint_fast64_t, bool );
|
|
|
|
float128_t
|
|
|
|
softfloat_mulAddF128(
|
|
|
|
uint_fast64_t,
|
|
|
|
uint_fast64_t,
|
|
|
|
uint_fast64_t,
|
|
|
|
uint_fast64_t,
|
|
|
|
uint_fast64_t,
|
|
|
|
uint_fast64_t,
|
|
|
|
uint_fast8_t
|
|
|
|
);
|
|
|
|
|
|
|
|
#else
|
|
|
|
|
|
|
|
/*----------------------------------------------------------------------------
|
|
|
|
*----------------------------------------------------------------------------*/
|
|
|
|
|
|
|
|
bool
|
|
|
|
softfloat_tryPropagateNaNExtF80M(
|
|
|
|
const struct extFloat80M *,
|
|
|
|
const struct extFloat80M *,
|
|
|
|
struct extFloat80M *
|
|
|
|
);
|
|
|
|
void softfloat_invalidExtF80M( struct extFloat80M * );
|
|
|
|
|
|
|
|
int softfloat_normExtF80SigM( uint64_t * );
|
|
|
|
|
|
|
|
void
|
|
|
|
softfloat_roundPackMToExtF80M(
|
|
|
|
bool, int32_t, uint32_t *, uint_fast8_t, struct extFloat80M * );
|
|
|
|
void
|
|
|
|
softfloat_normRoundPackMToExtF80M(
|
|
|
|
bool, int32_t, uint32_t *, uint_fast8_t, struct extFloat80M * );
|
|
|
|
|
|
|
|
void
|
|
|
|
softfloat_addExtF80M(
|
|
|
|
const struct extFloat80M *,
|
|
|
|
const struct extFloat80M *,
|
|
|
|
struct extFloat80M *,
|
|
|
|
bool
|
|
|
|
);
|
|
|
|
|
|
|
|
int
|
|
|
|
softfloat_compareNonnormExtF80M(
|
|
|
|
const struct extFloat80M *, const struct extFloat80M * );
|
|
|
|
|
|
|
|
/*----------------------------------------------------------------------------
|
|
|
|
*----------------------------------------------------------------------------*/
|
|
|
|
#define signF128UI96( a96 ) ((bool) ((uint32_t) (a96)>>31))
|
|
|
|
#define expF128UI96( a96 ) ((int32_t) ((a96)>>16) & 0x7FFF)
|
|
|
|
#define fracF128UI96( a96 ) ((a96) & 0x0000FFFF)
|
|
|
|
#define packToF128UI96( sign, exp, sig96 ) (((uint32_t) (sign)<<31) + ((uint32_t) (exp)<<16) + (sig96))
|
|
|
|
|
|
|
|
bool softfloat_isNaNF128M( const uint32_t * );
|
|
|
|
|
|
|
|
bool
|
|
|
|
softfloat_tryPropagateNaNF128M(
|
|
|
|
const uint32_t *, const uint32_t *, uint32_t * );
|
|
|
|
void softfloat_invalidF128M( uint32_t * );
|
|
|
|
|
|
|
|
int softfloat_shiftNormSigF128M( const uint32_t *, uint_fast8_t, uint32_t * );
|
|
|
|
|
|
|
|
void softfloat_roundPackMToF128M( bool, int32_t, uint32_t *, uint32_t * );
|
|
|
|
void softfloat_normRoundPackMToF128M( bool, int32_t, uint32_t *, uint32_t * );
|
|
|
|
|
|
|
|
void
|
|
|
|
softfloat_addF128M( const uint32_t *, const uint32_t *, uint32_t *, bool );
|
|
|
|
void
|
|
|
|
softfloat_mulAddF128M(
|
|
|
|
const uint32_t *,
|
|
|
|
const uint32_t *,
|
|
|
|
const uint32_t *,
|
|
|
|
uint32_t *,
|
|
|
|
uint_fast8_t
|
|
|
|
);
|
|
|
|
|
|
|
|
#endif
|
|
|
|
|
|
|
|
#endif
|
|
|
|
|