ext/softfloat/specialize.h

/*============================================================================

This C header file is part of the SoftFloat IEEE Floating-Point Arithmetic
Package, Release 3d, by John R. Hauser.

Copyright 2011, 2012, 2013, 2014, 2015, 2016 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 specialize_h
#define specialize_h 1

#include <stdbool.h>
#include <stdint.h>

#include "primitiveTypes.h"
#include "softfloat.h"

#ifdef __cplusplus
extern "C" {
#endif

/*----------------------------------------------------------------------------
| Default value for `softfloat_detectTininess'.
*----------------------------------------------------------------------------*/
#define init_detectTininess softfloat_tininess_afterRounding

/*----------------------------------------------------------------------------
| The values to return on conversions to 32-bit integer formats that raise an
| invalid exception.
*----------------------------------------------------------------------------*/
#define ui32_fromPosOverflow 0xFFFFFFFF
#define ui32_fromNegOverflow 0
#define ui32_fromNaN         0xFFFFFFFF
#define i32_fromPosOverflow  0x7FFFFFFF
#define i32_fromNegOverflow  (-0x7FFFFFFF - 1)
#define i32_fromNaN          0x7FFFFFFF

/*----------------------------------------------------------------------------
| The values to return on conversions to 64-bit integer formats that raise an
| invalid exception.
*----------------------------------------------------------------------------*/
#define ui64_fromPosOverflow UINT64_C( 0xFFFFFFFFFFFFFFFF )
#define ui64_fromNegOverflow 0
#define ui64_fromNaN         UINT64_C( 0xFFFFFFFFFFFFFFFF )
#define i64_fromPosOverflow  UINT64_C( 0x7FFFFFFFFFFFFFFF )
#define i64_fromNegOverflow  (-UINT64_C( 0x7FFFFFFFFFFFFFFF ) - 1)
#define i64_fromNaN          UINT64_C( 0x7FFFFFFFFFFFFFFF )

/*----------------------------------------------------------------------------
| "Common NaN" structure, used to transfer NaN representations from one format
| to another.
*----------------------------------------------------------------------------*/
struct commonNaN { char _unused; };

/*----------------------------------------------------------------------------
| The bit pattern for a default generated 16-bit floating-point NaN.
*----------------------------------------------------------------------------*/
#define defaultNaNF16UI 0x7E00

/*----------------------------------------------------------------------------
| Returns true when 16-bit unsigned integer `uiA' has the bit pattern of a
| 16-bit floating-point signaling NaN.
| Note:  This macro evaluates its argument more than once.
*----------------------------------------------------------------------------*/
#define softfloat_isSigNaNF16UI( uiA ) ((((uiA) & 0x7E00) == 0x7C00) && ((uiA) & 0x01FF))

/*----------------------------------------------------------------------------
| Assuming `uiA' has the bit pattern of a 16-bit floating-point NaN, converts
| this NaN to the common NaN form, and stores the resulting common NaN at the
| location pointed to by `zPtr'.  If the NaN is a signaling NaN, the invalid
| exception is raised.
*----------------------------------------------------------------------------*/
#define softfloat_f16UIToCommonNaN( uiA, zPtr ) if ( ! ((uiA) & 0x0200) ) softfloat_raiseFlags( softfloat_flag_invalid )

/*----------------------------------------------------------------------------
| Converts the common NaN pointed to by `aPtr' into a 16-bit floating-point
| NaN, and returns the bit pattern of this value as an unsigned integer.
*----------------------------------------------------------------------------*/
#define softfloat_commonNaNToF16UI( aPtr ) ((uint_fast16_t) defaultNaNF16UI)

/*----------------------------------------------------------------------------
| Interpreting `uiA' and `uiB' as the bit patterns of two 16-bit floating-
| point values, at least one of which is a NaN, returns the bit pattern of
| the combined NaN result.  If either `uiA' or `uiB' has the pattern of a
| signaling NaN, the invalid exception is raised.
*----------------------------------------------------------------------------*/
uint_fast16_t
 softfloat_propagateNaNF16UI( uint_fast16_t uiA, uint_fast16_t uiB );

/*----------------------------------------------------------------------------
| The bit pattern for a default generated 32-bit floating-point NaN.
*----------------------------------------------------------------------------*/
#define defaultNaNF32UI 0x7FC00000

/*----------------------------------------------------------------------------
| Returns true when 32-bit unsigned integer `uiA' has the bit pattern of a
| 32-bit floating-point signaling NaN.
| Note:  This macro evaluates its argument more than once.
*----------------------------------------------------------------------------*/
#define softfloat_isSigNaNF32UI( uiA ) ((((uiA) & 0x7FC00000) == 0x7F800000) && ((uiA) & 0x003FFFFF))

/*----------------------------------------------------------------------------
| Assuming `uiA' has the bit pattern of a 32-bit floating-point NaN, converts
| this NaN to the common NaN form, and stores the resulting common NaN at the
| location pointed to by `zPtr'.  If the NaN is a signaling NaN, the invalid
| exception is raised.
*----------------------------------------------------------------------------*/
#define softfloat_f32UIToCommonNaN( uiA, zPtr ) if ( ! ((uiA) & 0x00400000) ) softfloat_raiseFlags( softfloat_flag_invalid )

/*----------------------------------------------------------------------------
| Converts the common NaN pointed to by `aPtr' into a 32-bit floating-point
| NaN, and returns the bit pattern of this value as an unsigned integer.
*----------------------------------------------------------------------------*/
#define softfloat_commonNaNToF32UI( aPtr ) ((uint_fast32_t) defaultNaNF32UI)

/*----------------------------------------------------------------------------
| Interpreting `uiA' and `uiB' as the bit patterns of two 32-bit floating-
| point values, at least one of which is a NaN, returns the bit pattern of
| the combined NaN result.  If either `uiA' or `uiB' has the pattern of a
| signaling NaN, the invalid exception is raised.
*----------------------------------------------------------------------------*/
uint_fast32_t
 softfloat_propagateNaNF32UI( uint_fast32_t uiA, uint_fast32_t uiB );

/*----------------------------------------------------------------------------
| The bit pattern for a default generated 64-bit floating-point NaN.
*----------------------------------------------------------------------------*/
#define defaultNaNF64UI UINT64_C( 0x7FF8000000000000 )

/*----------------------------------------------------------------------------
| Returns true when 64-bit unsigned integer `uiA' has the bit pattern of a
| 64-bit floating-point signaling NaN.
| Note:  This macro evaluates its argument more than once.
*----------------------------------------------------------------------------*/
#define softfloat_isSigNaNF64UI( uiA ) ((((uiA) & UINT64_C( 0x7FF8000000000000 )) == UINT64_C( 0x7FF0000000000000 )) && ((uiA) & UINT64_C( 0x0007FFFFFFFFFFFF )))

/*----------------------------------------------------------------------------
| Assuming `uiA' has the bit pattern of a 64-bit floating-point NaN, converts
| this NaN to the common NaN form, and stores the resulting common NaN at the
| location pointed to by `zPtr'.  If the NaN is a signaling NaN, the invalid
| exception is raised.
*----------------------------------------------------------------------------*/
#define softfloat_f64UIToCommonNaN( uiA, zPtr ) if ( ! ((uiA) & UINT64_C( 0x0008000000000000 )) ) softfloat_raiseFlags( softfloat_flag_invalid )

/*----------------------------------------------------------------------------
| Converts the common NaN pointed to by `aPtr' into a 64-bit floating-point
| NaN, and returns the bit pattern of this value as an unsigned integer.
*----------------------------------------------------------------------------*/
#define softfloat_commonNaNToF64UI( aPtr ) ((uint_fast64_t) defaultNaNF64UI)

/*----------------------------------------------------------------------------
| Interpreting `uiA' and `uiB' as the bit patterns of two 64-bit floating-
| point values, at least one of which is a NaN, returns the bit pattern of
| the combined NaN result.  If either `uiA' or `uiB' has the pattern of a
| signaling NaN, the invalid exception is raised.
*----------------------------------------------------------------------------*/
uint_fast64_t
 softfloat_propagateNaNF64UI( uint_fast64_t uiA, uint_fast64_t uiB );

/*----------------------------------------------------------------------------
| The bit pattern for a default generated 80-bit extended floating-point NaN.
*----------------------------------------------------------------------------*/
#define defaultNaNExtF80UI64 0x7FFF
#define defaultNaNExtF80UI0  UINT64_C( 0xC000000000000000 )

/*----------------------------------------------------------------------------
| Returns true when the 80-bit unsigned integer formed from concatenating
| 16-bit `uiA64' and 64-bit `uiA0' has the bit pattern of an 80-bit extended
| floating-point signaling NaN.
| Note:  This macro evaluates its arguments more than once.
*----------------------------------------------------------------------------*/
#define softfloat_isSigNaNExtF80UI( uiA64, uiA0 ) ((((uiA64) & 0x7FFF) == 0x7FFF) && ! ((uiA0) & UINT64_C( 0x4000000000000000 )) && ((uiA0) & UINT64_C( 0x3FFFFFFFFFFFFFFF )))

#ifdef SOFTFLOAT_FAST_INT64

/*----------------------------------------------------------------------------
| The following functions are needed only when `SOFTFLOAT_FAST_INT64' is
| defined.
*----------------------------------------------------------------------------*/

/*----------------------------------------------------------------------------
| Assuming the unsigned integer formed from concatenating `uiA64' and `uiA0'
| has the bit pattern of an 80-bit extended floating-point NaN, converts
| this NaN to the common NaN form, and stores the resulting common NaN at the
| location pointed to by `zPtr'.  If the NaN is a signaling NaN, the invalid
| exception is raised.
*----------------------------------------------------------------------------*/
#define softfloat_extF80UIToCommonNaN( uiA64, uiA0, zPtr ) if ( ! ((uiA0) & UINT64_C( 0x4000000000000000 )) ) softfloat_raiseFlags( softfloat_flag_invalid )

/*----------------------------------------------------------------------------
| Converts the common NaN pointed to by `aPtr' into an 80-bit extended
| floating-point NaN, and returns the bit pattern of this value as an unsigned
| integer.
*----------------------------------------------------------------------------*/
#if defined INLINE && ! defined softfloat_commonNaNToExtF80UI
INLINE
struct uint128 softfloat_commonNaNToExtF80UI( const struct commonNaN *aPtr )
{
    struct uint128 uiZ;
    uiZ.v64 = defaultNaNExtF80UI64;
    uiZ.v0  = defaultNaNExtF80UI0;
    return uiZ;
}
#else
struct uint128 softfloat_commonNaNToExtF80UI( const struct commonNaN *aPtr );
#endif

/*----------------------------------------------------------------------------
| Interpreting the unsigned integer formed from concatenating `uiA64' and
| `uiA0' as an 80-bit extended floating-point value, and likewise interpreting
| the unsigned integer formed from concatenating `uiB64' and `uiB0' as another
| 80-bit extended floating-point value, and assuming at least on of these
| floating-point values is a NaN, returns the bit pattern of the combined NaN
| result.  If either original floating-point value is a signaling NaN, the
| invalid exception is raised.
*----------------------------------------------------------------------------*/
struct uint128
 softfloat_propagateNaNExtF80UI(
     uint_fast16_t uiA64,
     uint_fast64_t uiA0,
     uint_fast16_t uiB64,
     uint_fast64_t uiB0
 );

/*----------------------------------------------------------------------------
| The bit pattern for a default generated 128-bit floating-point NaN.
*----------------------------------------------------------------------------*/
#define defaultNaNF128UI64 UINT64_C( 0x7FFF800000000000 )
#define defaultNaNF128UI0  UINT64_C( 0 )

/*----------------------------------------------------------------------------
| Returns true when the 128-bit unsigned integer formed from concatenating
| 64-bit `uiA64' and 64-bit `uiA0' has the bit pattern of a 128-bit floating-
| point signaling NaN.
| Note:  This macro evaluates its arguments more than once.
*----------------------------------------------------------------------------*/
#define softfloat_isSigNaNF128UI( uiA64, uiA0 ) ((((uiA64) & UINT64_C( 0x7FFF800000000000 )) == UINT64_C( 0x7FFF000000000000 )) && ((uiA0) || ((uiA64) & UINT64_C( 0x00007FFFFFFFFFFF ))))

/*----------------------------------------------------------------------------
| Assuming the unsigned integer formed from concatenating `uiA64' and `uiA0'
| has the bit pattern of a 128-bit floating-point NaN, converts this NaN to
| the common NaN form, and stores the resulting common NaN at the location
| pointed to by `zPtr'.  If the NaN is a signaling NaN, the invalid exception
| is raised.
*----------------------------------------------------------------------------*/
#define softfloat_f128UIToCommonNaN( uiA64, uiA0, zPtr ) if ( ! ((uiA64) & UINT64_C( 0x0000800000000000 )) ) softfloat_raiseFlags( softfloat_flag_invalid )

/*----------------------------------------------------------------------------
| Converts the common NaN pointed to by `aPtr' into a 128-bit floating-point
| NaN, and returns the bit pattern of this value as an unsigned integer.
*----------------------------------------------------------------------------*/
#if defined INLINE && ! defined softfloat_commonNaNToF128UI
INLINE
struct uint128 softfloat_commonNaNToF128UI( const struct commonNaN *aPtr )
{
    struct uint128 uiZ;
    uiZ.v64 = defaultNaNF128UI64;
    uiZ.v0  = defaultNaNF128UI0;
    return uiZ;
}
#else
struct uint128 softfloat_commonNaNToF128UI( const struct commonNaN * );
#endif

/*----------------------------------------------------------------------------
| Interpreting the unsigned integer formed from concatenating `uiA64' and
| `uiA0' as a 128-bit floating-point value, and likewise interpreting the
| unsigned integer formed from concatenating `uiB64' and `uiB0' as another
| 128-bit floating-point value, and assuming at least on of these floating-
| point values is a NaN, returns the bit pattern of the combined NaN result.
| If either original floating-point value is a signaling NaN, the invalid
| exception is raised.
*----------------------------------------------------------------------------*/
struct uint128
 softfloat_propagateNaNF128UI(
     uint_fast64_t uiA64,
     uint_fast64_t uiA0,
     uint_fast64_t uiB64,
     uint_fast64_t uiB0
 );

#else

/*----------------------------------------------------------------------------
| The following functions are needed only when `SOFTFLOAT_FAST_INT64' is not
| defined.
*----------------------------------------------------------------------------*/

/*----------------------------------------------------------------------------
| Assuming the 80-bit extended floating-point value pointed to by `aSPtr' is
| a NaN, converts this NaN to the common NaN form, and stores the resulting
| common NaN at the location pointed to by `zPtr'.  If the NaN is a signaling
| NaN, the invalid exception is raised.
*----------------------------------------------------------------------------*/
#define softfloat_extF80MToCommonNaN( aSPtr, zPtr ) if ( ! ((aSPtr)->signif & UINT64_C( 0x4000000000000000 )) ) softfloat_raiseFlags( softfloat_flag_invalid )

/*----------------------------------------------------------------------------
| Converts the common NaN pointed to by `aPtr' into an 80-bit extended
| floating-point NaN, and stores this NaN at the location pointed to by
| `zSPtr'.
*----------------------------------------------------------------------------*/
#if defined INLINE && ! defined softfloat_commonNaNToExtF80M
INLINE
void
 softfloat_commonNaNToExtF80M(
     const struct commonNaN *aPtr, struct extFloat80M *zSPtr )
{
    zSPtr->signExp = defaultNaNExtF80UI64;
    zSPtr->signif  = defaultNaNExtF80UI0;
}
#else
void
 softfloat_commonNaNToExtF80M(
     const struct commonNaN *aPtr, struct extFloat80M *zSPtr );
#endif

/*----------------------------------------------------------------------------
| Assuming at least one of the two 80-bit extended floating-point values
| pointed to by `aSPtr' and `bSPtr' is a NaN, stores the combined NaN result
| at the location pointed to by `zSPtr'.  If either original floating-point
| value is a signaling NaN, the invalid exception is raised.
*----------------------------------------------------------------------------*/
void
 softfloat_propagateNaNExtF80M(
     const struct extFloat80M *aSPtr,
     const struct extFloat80M *bSPtr,
     struct extFloat80M *zSPtr
 );

/*----------------------------------------------------------------------------
| The bit pattern for a default generated 128-bit floating-point NaN.
*----------------------------------------------------------------------------*/
#define defaultNaNF128UI96 0x7FFF8000
#define defaultNaNF128UI64 0
#define defaultNaNF128UI32 0
#define defaultNaNF128UI0  0

/*----------------------------------------------------------------------------
| Assuming the 128-bit floating-point value pointed to by `aWPtr' is a NaN,
| converts this NaN to the common NaN form, and stores the resulting common
| NaN at the location pointed to by `zPtr'.  If the NaN is a signaling NaN,
| the invalid exception is raised.  Argument `aWPtr' points to an array of
| four 32-bit elements that concatenate in the platform's normal endian order
| to form a 128-bit floating-point value.
*----------------------------------------------------------------------------*/
#define softfloat_f128MToCommonNaN( aWPtr, zPtr ) if ( ! ((aWPtr)[indexWordHi( 4 )] & UINT64_C( 0x0000800000000000 )) ) softfloat_raiseFlags( softfloat_flag_invalid )

/*----------------------------------------------------------------------------
| Converts the common NaN pointed to by `aPtr' into a 128-bit floating-point
| NaN, and stores this NaN at the location pointed to by `zWPtr'.  Argument
| `zWPtr' points to an array of four 32-bit elements that concatenate in the
| platform's normal endian order to form a 128-bit floating-point value.
*----------------------------------------------------------------------------*/
#if defined INLINE && ! defined softfloat_commonNaNToF128M
INLINE
void
 softfloat_commonNaNToF128M( const struct commonNaN *aPtr, uint32_t *zWPtr )
{
    zWPtr[indexWord( 4, 3 )] = defaultNaNF128UI96;
    zWPtr[indexWord( 4, 2 )] = defaultNaNF128UI64;
    zWPtr[indexWord( 4, 1 )] = defaultNaNF128UI32;
    zWPtr[indexWord( 4, 0 )] = defaultNaNF128UI0;
}
#else
void
 softfloat_commonNaNToF128M( const struct commonNaN *aPtr, uint32_t *zWPtr );
#endif

/*----------------------------------------------------------------------------
| Assuming at least one of the two 128-bit floating-point values pointed to by
| `aWPtr' and `bWPtr' is a NaN, stores the combined NaN result at the location
| pointed to by `zWPtr'.  If either original floating-point value is a
| signaling NaN, the invalid exception is raised.  Each of `aWPtr', `bWPtr',
| and `zWPtr' points to an array of four 32-bit elements that concatenate in
| the platform's normal endian order to form a 128-bit floating-point value.
*----------------------------------------------------------------------------*/
void
 softfloat_propagateNaNF128M(
     const uint32_t *aWPtr, const uint32_t *bWPtr, uint32_t *zWPtr );

#endif

#ifdef __cplusplus
}
#endif

#endif