+++ /dev/null
-
-/*============================================================================
-
-This C source fragment is part of the SoftFloat IEC/IEEE Floating-point
-Arithmetic Package, Release 2b.
-
-Written by John R. Hauser. This work was made possible in part by the
-International Computer Science Institute, located at Suite 600, 1947 Center
-Street, Berkeley, California 94704. Funding was partially provided by the
-National Science Foundation under grant MIP-9311980. The original version
-of this code was written as part of a project to build a fixed-point vector
-processor in collaboration with the University of California at Berkeley,
-overseen by Profs. Nelson Morgan and John Wawrzynek. More information
-is available through the Web page `http://www.cs.berkeley.edu/~jhauser/
-arithmetic/SoftFloat.html'.
-
-THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE. Although reasonable effort has
-been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT TIMES
-RESULT IN INCORRECT BEHAVIOR. USE OF THIS SOFTWARE IS RESTRICTED TO PERSONS
-AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ALL LOSSES,
-COSTS, OR OTHER PROBLEMS THEY INCUR DUE TO THE SOFTWARE, AND WHO FURTHERMORE
-EFFECTIVELY INDEMNIFY JOHN HAUSER AND THE INTERNATIONAL COMPUTER SCIENCE
-INSTITUTE (possibly via similar legal warning) AGAINST ALL LOSSES, COSTS, OR
-OTHER PROBLEMS INCURRED BY THEIR CUSTOMERS AND CLIENTS DUE TO THE SOFTWARE.
-
-Derivative works are acceptable, even for commercial purposes, so long as
-(1) the source code for the derivative work includes prominent notice that
-the work is derivative, and (2) the source code includes prominent notice with
-these four paragraphs for those parts of this code that are retained.
-
-=============================================================================*/
-
-/*----------------------------------------------------------------------------
-| Underflow tininess-detection mode, statically initialized to default value.
-| (The declaration in `softfloat.h' must match the `int8' type here.)
-*----------------------------------------------------------------------------*/
-int8 float_detect_tininess = float_tininess_after_rounding;
-
-/*----------------------------------------------------------------------------
-| Raises the exceptions specified by `flags'. Floating-point traps can be
-| defined here if desired. It is currently not possible for such a trap to
-| substitute a result value. If traps are not implemented, this routine
-| should be simply `float_exception_flags |= flags;'.
-*----------------------------------------------------------------------------*/
-
-void float_raise( int8 flags )
-{
-
- float_exception_flags |= flags;
-
-}
-
-/*----------------------------------------------------------------------------
-| Internal canonical NaN format.
-*----------------------------------------------------------------------------*/
-typedef struct {
- flag sign;
- bits64 high, low;
-} commonNaNT;
-
-/*----------------------------------------------------------------------------
-| The pattern for a default generated single-precision NaN.
-*----------------------------------------------------------------------------*/
-#define float32_default_nan 0xFFFFFFFF
-
-/*----------------------------------------------------------------------------
-| Returns 1 if the single-precision floating-point value `a' is a NaN;
-| otherwise returns 0.
-*----------------------------------------------------------------------------*/
-
-flag float32_is_nan( float32 a )
-{
-
- return ( 0xFF000000 < (bits32) ( a<<1 ) );
-
-}
-
-/*----------------------------------------------------------------------------
-| Returns 1 if the single-precision floating-point value `a' is a signaling
-| NaN; otherwise returns 0.
-*----------------------------------------------------------------------------*/
-
-flag float32_is_signaling_nan( float32 a )
-{
-
- return ( ( ( a>>22 ) & 0x1FF ) == 0x1FE ) && ( a & 0x003FFFFF );
-
-}
-
-/*----------------------------------------------------------------------------
-| Returns the result of converting the single-precision floating-point NaN
-| `a' to the canonical NaN format. If `a' is a signaling NaN, the invalid
-| exception is raised.
-*----------------------------------------------------------------------------*/
-
-static commonNaNT float32ToCommonNaN( float32 a )
-{
- commonNaNT z;
-
- if ( float32_is_signaling_nan( a ) ) float_raise( float_flag_invalid );
- z.sign = a>>31;
- z.low = 0;
- z.high = ( (bits64) a )<<41;
- return z;
-
-}
-
-/*----------------------------------------------------------------------------
-| Returns the result of converting the canonical NaN `a' to the single-
-| precision floating-point format.
-*----------------------------------------------------------------------------*/
-
-static float32 commonNaNToFloat32( commonNaNT a )
-{
-
- return ( ( (bits32) a.sign )<<31 ) | 0x7FC00000 | ( a.high>>41 );
-
-}
-
-/*----------------------------------------------------------------------------
-| Takes two single-precision floating-point values `a' and `b', one of which
-| is a NaN, and returns the appropriate NaN result. If either `a' or `b' is a
-| signaling NaN, the invalid exception is raised.
-*----------------------------------------------------------------------------*/
-
-static float32 propagateFloat32NaN( float32 a, float32 b )
-{
- flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN;
-
- aIsNaN = float32_is_nan( a );
- aIsSignalingNaN = float32_is_signaling_nan( a );
- bIsNaN = float32_is_nan( b );
- bIsSignalingNaN = float32_is_signaling_nan( b );
- a |= 0x00400000;
- b |= 0x00400000;
- if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid );
- if ( aIsNaN ) {
- return ( aIsSignalingNaN & bIsNaN ) ? b : a;
- }
- else {
- return b;
- }
-
-}
-
-/*----------------------------------------------------------------------------
-| The pattern for a default generated double-precision NaN.
-*----------------------------------------------------------------------------*/
-#define float64_default_nan LIT64( 0xFFFFFFFFFFFFFFFF )
-
-/*----------------------------------------------------------------------------
-| Returns 1 if the double-precision floating-point value `a' is a NaN;
-| otherwise returns 0.
-*----------------------------------------------------------------------------*/
-
-flag float64_is_nan( float64 a )
-{
-
- return ( LIT64( 0xFFE0000000000000 ) < (bits64) ( a<<1 ) );
-
-}
-
-/*----------------------------------------------------------------------------
-| Returns 1 if the double-precision floating-point value `a' is a signaling
-| NaN; otherwise returns 0.
-*----------------------------------------------------------------------------*/
-
-flag float64_is_signaling_nan( float64 a )
-{
-
- return
- ( ( ( a>>51 ) & 0xFFF ) == 0xFFE )
- && ( a & LIT64( 0x0007FFFFFFFFFFFF ) );
-
-}
-
-/*----------------------------------------------------------------------------
-| Returns the result of converting the double-precision floating-point NaN
-| `a' to the canonical NaN format. If `a' is a signaling NaN, the invalid
-| exception is raised.
-*----------------------------------------------------------------------------*/
-
-static commonNaNT float64ToCommonNaN( float64 a )
-{
- commonNaNT z;
-
- if ( float64_is_signaling_nan( a ) ) float_raise( float_flag_invalid );
- z.sign = a>>63;
- z.low = 0;
- z.high = a<<12;
- return z;
-
-}
-
-/*----------------------------------------------------------------------------
-| Returns the result of converting the canonical NaN `a' to the double-
-| precision floating-point format.
-*----------------------------------------------------------------------------*/
-
-static float64 commonNaNToFloat64( commonNaNT a )
-{
-
- return
- ( ( (bits64) a.sign )<<63 )
- | LIT64( 0x7FF8000000000000 )
- | ( a.high>>12 );
-
-}
-
-/*----------------------------------------------------------------------------
-| Takes two double-precision floating-point values `a' and `b', one of which
-| is a NaN, and returns the appropriate NaN result. If either `a' or `b' is a
-| signaling NaN, the invalid exception is raised.
-*----------------------------------------------------------------------------*/
-
-static float64 propagateFloat64NaN( float64 a, float64 b )
-{
- flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN;
-
- aIsNaN = float64_is_nan( a );
- aIsSignalingNaN = float64_is_signaling_nan( a );
- bIsNaN = float64_is_nan( b );
- bIsSignalingNaN = float64_is_signaling_nan( b );
- a |= LIT64( 0x0008000000000000 );
- b |= LIT64( 0x0008000000000000 );
- if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid );
- if ( aIsNaN ) {
- return ( aIsSignalingNaN & bIsNaN ) ? b : a;
- }
- else {
- return b;
- }
-
-}
-
-#ifdef FLOATX80
-
-/*----------------------------------------------------------------------------
-| The pattern for a default generated extended double-precision NaN. The
-| `high' and `low' values hold the most- and least-significant bits,
-| respectively.
-*----------------------------------------------------------------------------*/
-#define floatx80_default_nan_high 0xFFFF
-#define floatx80_default_nan_low LIT64( 0xFFFFFFFFFFFFFFFF )
-
-/*----------------------------------------------------------------------------
-| Returns 1 if the extended double-precision floating-point value `a' is a
-| NaN; otherwise returns 0.
-*----------------------------------------------------------------------------*/
-
-flag floatx80_is_nan( floatx80 a )
-{
-
- return ( ( a.high & 0x7FFF ) == 0x7FFF ) && (bits64) ( a.low<<1 );
-
-}
-
-/*----------------------------------------------------------------------------
-| Returns 1 if the extended double-precision floating-point value `a' is a
-| signaling NaN; otherwise returns 0.
-*----------------------------------------------------------------------------*/
-
-flag floatx80_is_signaling_nan( floatx80 a )
-{
- bits64 aLow;
-
- aLow = a.low & ~ LIT64( 0x4000000000000000 );
- return
- ( ( a.high & 0x7FFF ) == 0x7FFF )
- && (bits64) ( aLow<<1 )
- && ( a.low == aLow );
-
-}
-
-/*----------------------------------------------------------------------------
-| Returns the result of converting the extended double-precision floating-
-| point NaN `a' to the canonical NaN format. If `a' is a signaling NaN, the
-| invalid exception is raised.
-*----------------------------------------------------------------------------*/
-
-static commonNaNT floatx80ToCommonNaN( floatx80 a )
-{
- commonNaNT z;
-
- if ( floatx80_is_signaling_nan( a ) ) float_raise( float_flag_invalid );
- z.sign = a.high>>15;
- z.low = 0;
- z.high = a.low<<1;
- return z;
-
-}
-
-/*----------------------------------------------------------------------------
-| Returns the result of converting the canonical NaN `a' to the extended
-| double-precision floating-point format.
-*----------------------------------------------------------------------------*/
-
-static floatx80 commonNaNToFloatx80( commonNaNT a )
-{
- floatx80 z;
-
- z.low = LIT64( 0xC000000000000000 ) | ( a.high>>1 );
- z.high = ( ( (bits16) a.sign )<<15 ) | 0x7FFF;
- return z;
-
-}
-
-/*----------------------------------------------------------------------------
-| Takes two extended double-precision floating-point values `a' and `b', one
-| of which is a NaN, and returns the appropriate NaN result. If either `a' or
-| `b' is a signaling NaN, the invalid exception is raised.
-*----------------------------------------------------------------------------*/
-
-floatx80 propagateFloatx80NaN( floatx80 a, floatx80 b )
-{
- flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN;
-
- aIsNaN = floatx80_is_nan( a );
- aIsSignalingNaN = floatx80_is_signaling_nan( a );
- bIsNaN = floatx80_is_nan( b );
- bIsSignalingNaN = floatx80_is_signaling_nan( b );
- a.low |= LIT64( 0xC000000000000000 );
- b.low |= LIT64( 0xC000000000000000 );
- if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid );
- if ( aIsNaN ) {
- return ( aIsSignalingNaN & bIsNaN ) ? b : a;
- }
- else {
- return b;
- }
-
-}
-
-#define EXP_BIAS 0x3FFF
-
-/*----------------------------------------------------------------------------
-| Returns the fraction bits of the extended double-precision floating-point
-| value `a'.
-*----------------------------------------------------------------------------*/
-
-static inline bits64 extractFloatx80Frac( floatx80 a )
-{
-
- return a.low;
-
-}
-
-/*----------------------------------------------------------------------------
-| Returns the exponent bits of the extended double-precision floating-point
-| value `a'.
-*----------------------------------------------------------------------------*/
-
-static inline int32 extractFloatx80Exp( floatx80 a )
-{
-
- return a.high & 0x7FFF;
-
-}
-
-/*----------------------------------------------------------------------------
-| Returns the sign bit of the extended double-precision floating-point value
-| `a'.
-*----------------------------------------------------------------------------*/
-
-static inline flag extractFloatx80Sign( floatx80 a )
-{
-
- return a.high>>15;
-
-}
-
-#endif
-
-#ifdef FLOAT128
-
-/*----------------------------------------------------------------------------
-| The pattern for a default generated quadruple-precision NaN. The `high' and
-| `low' values hold the most- and least-significant bits, respectively.
-*----------------------------------------------------------------------------*/
-#define float128_default_nan_high LIT64( 0xFFFFFFFFFFFFFFFF )
-#define float128_default_nan_low LIT64( 0xFFFFFFFFFFFFFFFF )
-
-/*----------------------------------------------------------------------------
-| Returns 1 if the quadruple-precision floating-point value `a' is a NaN;
-| otherwise returns 0.
-*----------------------------------------------------------------------------*/
-
-flag float128_is_nan( float128 a )
-{
-
- return
- ( LIT64( 0xFFFE000000000000 ) <= (bits64) ( a.high<<1 ) )
- && ( a.low || ( a.high & LIT64( 0x0000FFFFFFFFFFFF ) ) );
-
-}
-
-/*----------------------------------------------------------------------------
-| Returns 1 if the quadruple-precision floating-point value `a' is a
-| signaling NaN; otherwise returns 0.
-*----------------------------------------------------------------------------*/
-
-flag float128_is_signaling_nan( float128 a )
-{
-
- return
- ( ( ( a.high>>47 ) & 0xFFFF ) == 0xFFFE )
- && ( a.low || ( a.high & LIT64( 0x00007FFFFFFFFFFF ) ) );
-
-}
-
-/*----------------------------------------------------------------------------
-| Returns the result of converting the quadruple-precision floating-point NaN
-| `a' to the canonical NaN format. If `a' is a signaling NaN, the invalid
-| exception is raised.
-*----------------------------------------------------------------------------*/
-
-static commonNaNT float128ToCommonNaN( float128 a )
-{
- commonNaNT z;
-
- if ( float128_is_signaling_nan( a ) ) float_raise( float_flag_invalid );
- z.sign = a.high>>63;
- shortShift128Left( a.high, a.low, 16, &z.high, &z.low );
- return z;
-
-}
-
-/*----------------------------------------------------------------------------
-| Returns the result of converting the canonical NaN `a' to the quadruple-
-| precision floating-point format.
-*----------------------------------------------------------------------------*/
-
-static float128 commonNaNToFloat128( commonNaNT a )
-{
- float128 z;
-
- shift128Right( a.high, a.low, 16, &z.high, &z.low );
- z.high |= ( ( (bits64) a.sign )<<63 ) | LIT64( 0x7FFF800000000000 );
- return z;
-
-}
-
-/*----------------------------------------------------------------------------
-| Takes two quadruple-precision floating-point values `a' and `b', one of
-| which is a NaN, and returns the appropriate NaN result. If either `a' or
-| `b' is a signaling NaN, the invalid exception is raised.
-*----------------------------------------------------------------------------*/
-
-static float128 propagateFloat128NaN( float128 a, float128 b )
-{
- flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN;
-
- aIsNaN = float128_is_nan( a );
- aIsSignalingNaN = float128_is_signaling_nan( a );
- bIsNaN = float128_is_nan( b );
- bIsSignalingNaN = float128_is_signaling_nan( b );
- a.high |= LIT64( 0x0000800000000000 );
- b.high |= LIT64( 0x0000800000000000 );
- if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid );
- if ( aIsNaN ) {
- return ( aIsSignalingNaN & bIsNaN ) ? b : a;
- }
- else {
- return b;
- }
-
-}
-
-#endif
-
projects / pistorm / blobdiff