|  | 
 | /*============================================================================ | 
 |  | 
 | 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_before_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;'. | 
 | *----------------------------------------------------------------------------*/ | 
 |  | 
 | INLINE void float_raise( softfloat_t* sf, int flags ) | 
 | { | 
 |   sf->float_exception_flags |= flags; | 
 | } | 
 |  | 
 | /*---------------------------------------------------------------------------- | 
 | | The pattern for a default generated single-precision NaN. | 
 | *----------------------------------------------------------------------------*/ | 
 | #define float32_default_nan 0x7FFFFFFF | 
 |  | 
 | /*---------------------------------------------------------------------------- | 
 | | Returns 1 if the single-precision floating-point value `a' is a NaN; | 
 | | otherwise returns 0. | 
 | *----------------------------------------------------------------------------*/ | 
 |  | 
 | INLINE flag float32_is_nan( softfloat_t* sf, float32 a ) | 
 | { | 
 |  | 
 |     return ( 0xFF000000 < (bits32) ( a<<1 ) ); | 
 |  | 
 | } | 
 |  | 
 | /*---------------------------------------------------------------------------- | 
 | | Returns 1 if the single-precision floating-point value `a' is a signaling | 
 | | NaN; otherwise returns 0. | 
 | *----------------------------------------------------------------------------*/ | 
 |  | 
 | INLINE flag float32_is_signaling_nan( softfloat_t* sf, 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. | 
 | *----------------------------------------------------------------------------*/ | 
 |  | 
 | commonNaNT float32ToCommonNaN( softfloat_t* sf, float32 a ) | 
 | { | 
 |     commonNaNT z; | 
 |  | 
 |     if ( float32_is_signaling_nan( sf, a ) ) float_raise( sf, 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. | 
 | *----------------------------------------------------------------------------*/ | 
 |  | 
 | float32 commonNaNToFloat32( softfloat_t* sf, 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. | 
 | *----------------------------------------------------------------------------*/ | 
 |  | 
 | float32 propagateFloat32NaN( softfloat_t* sf, float32 a, float32 b ) | 
 | { | 
 |     flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN; | 
 |  | 
 |     aIsNaN = float32_is_nan( sf, a ); | 
 |     aIsSignalingNaN = float32_is_signaling_nan( sf, a ); | 
 |     bIsNaN = float32_is_nan( sf, b ); | 
 |     bIsSignalingNaN = float32_is_signaling_nan( sf, b ); | 
 |     a |= 0x00400000; | 
 |     b |= 0x00400000; | 
 |     if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( sf, float_flag_invalid ); | 
 |     return bIsSignalingNaN ? b : aIsSignalingNaN ? a : bIsNaN ? b : a; | 
 |  | 
 | } | 
 |  | 
 | /*---------------------------------------------------------------------------- | 
 | | The pattern for a default generated double-precision NaN. | 
 | *----------------------------------------------------------------------------*/ | 
 | #define float64_default_nan LIT64( 0x7FFFFFFFFFFFFFFF ) | 
 |  | 
 | /*---------------------------------------------------------------------------- | 
 | | Returns 1 if the double-precision floating-point value `a' is a NaN; | 
 | | otherwise returns 0. | 
 | *----------------------------------------------------------------------------*/ | 
 |  | 
 | flag float64_is_nan( softfloat_t* sf, 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( softfloat_t* sf, 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. | 
 | *----------------------------------------------------------------------------*/ | 
 |  | 
 | commonNaNT float64ToCommonNaN( softfloat_t* sf, float64 a ) | 
 | { | 
 |     commonNaNT z; | 
 |  | 
 |     if ( float64_is_signaling_nan( sf, a ) ) float_raise( sf, 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. | 
 | *----------------------------------------------------------------------------*/ | 
 |  | 
 | float64 commonNaNToFloat64( softfloat_t* sf, 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. | 
 | *----------------------------------------------------------------------------*/ | 
 |  | 
 | float64 propagateFloat64NaN( softfloat_t* sf, float64 a, float64 b ) | 
 | { | 
 |     flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN; | 
 |  | 
 |     aIsNaN = float64_is_nan( sf, a ); | 
 |     aIsSignalingNaN = float64_is_signaling_nan( sf, a ); | 
 |     bIsNaN = float64_is_nan( sf, b ); | 
 |     bIsSignalingNaN = float64_is_signaling_nan( sf, b ); | 
 |     a |= LIT64( 0x0008000000000000 ); | 
 |     b |= LIT64( 0x0008000000000000 ); | 
 |     if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( sf, float_flag_invalid ); | 
 |     return bIsSignalingNaN ? b : aIsSignalingNaN ? a : bIsNaN ? b : a; | 
 |  | 
 | } | 
 |  | 
 | #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 0x7FFF | 
 | #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( softfloat_t* sf, 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( softfloat_t* sf, 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. | 
 | *----------------------------------------------------------------------------*/ | 
 |  | 
 | commonNaNT floatx80ToCommonNaN( softfloat_t* sf, floatx80 a ) | 
 | { | 
 |     commonNaNT z; | 
 |  | 
 |     if ( floatx80_is_signaling_nan( sf, a ) ) float_raise( sf, 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. | 
 | *----------------------------------------------------------------------------*/ | 
 |  | 
 | floatx80 commonNaNToFloatx80( softfloat_t* sf, 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( softfloat_t* sf, floatx80 a, floatx80 b ) | 
 | { | 
 |     flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN; | 
 |  | 
 |     aIsNaN = floatx80_is_nan( sf, a ); | 
 |     aIsSignalingNaN = floatx80_is_signaling_nan( sf, a ); | 
 |     bIsNaN = floatx80_is_nan( sf, b ); | 
 |     bIsSignalingNaN = floatx80_is_signaling_nan( sf, b ); | 
 |     a.low |= LIT64( 0xC000000000000000 ); | 
 |     b.low |= LIT64( 0xC000000000000000 ); | 
 |     if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( sf, float_flag_invalid ); | 
 |     return bIsSignalingNaN ? b : aIsSignalingNaN ? a : bIsNaN ? b : a; | 
 |  | 
 | } | 
 |  | 
 | #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( 0x7FFFFFFFFFFFFFFF ) | 
 | #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( softfloat_t* sf, 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( softfloat_t* sf, 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. | 
 | *----------------------------------------------------------------------------*/ | 
 |  | 
 | commonNaNT float128ToCommonNaN( softfloat_t* sf, float128 a ) | 
 | { | 
 |     commonNaNT z; | 
 |  | 
 |     if ( float128_is_signaling_nan( sf, a ) ) float_raise( sf, 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. | 
 | *----------------------------------------------------------------------------*/ | 
 |  | 
 | float128 commonNaNToFloat128( softfloat_t* sf, 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. | 
 | *----------------------------------------------------------------------------*/ | 
 |  | 
 | float128 propagateFloat128NaN( softfloat_t* sf, float128 a, float128 b ) | 
 | { | 
 |     flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN; | 
 |  | 
 |     aIsNaN = float128_is_nan( sf, a ); | 
 |     aIsSignalingNaN = float128_is_signaling_nan( sf, a ); | 
 |     bIsNaN = float128_is_nan( sf, b ); | 
 |     bIsSignalingNaN = float128_is_signaling_nan( sf, b ); | 
 |     a.high |= LIT64( 0x0000800000000000 ); | 
 |     b.high |= LIT64( 0x0000800000000000 ); | 
 |     if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( sf, float_flag_invalid ); | 
 |     return bIsSignalingNaN ? b : aIsSignalingNaN ? a : bIsNaN ? b : a; | 
 |  | 
 | } | 
 |  | 
 | #endif | 
 |  |