/*============================================================================This C source fragment is part of the SoftFloat IEC/IEEE Floating-pointArithmetic Package, Release 2b.Written by John R. Hauser.  This work was made possible in part by theInternational Computer Science Institute, located at Suite 600, 1947 CenterStreet, Berkeley, California 94704.  Funding was partially provided by theNational Science Foundation under grant MIP-9311980.  The original versionof this code was written as part of a project to build a fixed-point vectorprocessor in collaboration with the University of California at Berkeley,overseen by Profs. Nelson Morgan and John Wawrzynek.  More informationis 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 hasbeen made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT TIMESRESULT IN INCORRECT BEHAVIOR.  USE OF THIS SOFTWARE IS RESTRICTED TO PERSONSAND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ALL LOSSES,COSTS, OR OTHER PROBLEMS THEY INCUR DUE TO THE SOFTWARE, AND WHO FURTHERMOREEFFECTIVELY INDEMNIFY JOHN HAUSER AND THE INTERNATIONAL COMPUTER SCIENCEINSTITUTE (possibly via similar legal warning) AGAINST ALL LOSSES, COSTS, OROTHER 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 thatthe work is derivative, and (2) the source code includes prominent notice withthese four paragraphs for those parts of this code that are retained.=============================================================================*/#if defined(TARGET_MIPS) || defined(TARGET_HPPA)#define SNAN_BIT_IS_ONE		1#else#define SNAN_BIT_IS_ONE		0#endif/*----------------------------------------------------------------------------| 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 STATUS_PARAM ){    STATUS(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.*----------------------------------------------------------------------------*/#if defined(TARGET_SPARC)#define float32_default_nan make_float32(0x7FFFFFFF)#elif defined(TARGET_POWERPC)#define float32_default_nan make_float32(0x7FC00000)#elif defined(TARGET_HPPA)#define float32_default_nan make_float32(0x7FA00000)#elif SNAN_BIT_IS_ONE#define float32_default_nan make_float32(0x7FBFFFFF)#else#define float32_default_nan make_float32(0xFFC00000)#endif/*----------------------------------------------------------------------------| Returns 1 if the single-precision floating-point value `a' is a quiet| NaN; otherwise returns 0.*----------------------------------------------------------------------------*/int float32_is_nan( float32 a_ ){    uint32_t a = float32_val(a_);#if SNAN_BIT_IS_ONE    return ( ( ( a>>22 ) & 0x1FF ) == 0x1FE ) && ( a & 0x003FFFFF );#else    return ( 0xFF800000 <= (bits32) ( a<<1 ) );#endif}/*----------------------------------------------------------------------------| Returns 1 if the single-precision floating-point value `a' is a signaling| NaN; otherwise returns 0.*----------------------------------------------------------------------------*/int float32_is_signaling_nan( float32 a_ ){    uint32_t a = float32_val(a_);#if SNAN_BIT_IS_ONE    return ( 0xFF800000 <= (bits32) ( a<<1 ) );#else    return ( ( ( a>>22 ) & 0x1FF ) == 0x1FE ) && ( a & 0x003FFFFF );#endif}/*----------------------------------------------------------------------------| 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 STATUS_PARAM ){    commonNaNT z;    if ( float32_is_signaling_nan( a ) ) float_raise( float_flag_invalid STATUS_VAR );    z.sign = float32_val(a)>>31;    z.low = 0;    z.high = ( (bits64) float32_val(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 ){    bits32 mantissa = a.high>>41;    if ( mantissa )        return make_float32(            ( ( (bits32) a.sign )<<31 ) | 0x7F800000 | ( a.high>>41 ) );    else        return float32_default_nan;}/*----------------------------------------------------------------------------| 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 STATUS_PARAM){    flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN;    bits32 av, bv, res;    aIsNaN = float32_is_nan( a );    aIsSignalingNaN = float32_is_signaling_nan( a );    bIsNaN = float32_is_nan( b );    bIsSignalingNaN = float32_is_signaling_nan( b );    av = float32_val(a);    bv = float32_val(b);#if SNAN_BIT_IS_ONE    av &= ~0x00400000;    bv &= ~0x00400000;#else    av |= 0x00400000;    bv |= 0x00400000;#endif    if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid STATUS_VAR);    if ( aIsSignalingNaN ) {        if ( bIsSignalingNaN ) goto returnLargerSignificand;        res = bIsNaN ? bv : av;    }    else if ( aIsNaN ) {        if ( bIsSignalingNaN | ! bIsNaN )            res = av;        else { returnLargerSignificand:            if ( (bits32) ( av<<1 ) < (bits32) ( bv<<1 ) )                res = bv;            else if ( (bits32) ( bv<<1 ) < (bits32) ( av<<1 ) )                res = av;            else                res = ( av < bv ) ? av : bv;        }    }    else {        res = bv;    }    return make_float32(res);}/*----------------------------------------------------------------------------| The pattern for a default generated double-precision NaN.*----------------------------------------------------------------------------*/#if defined(TARGET_SPARC)#define float64_default_nan make_float64(LIT64( 0x7FFFFFFFFFFFFFFF ))#elif defined(TARGET_POWERPC)#define float64_default_nan make_float64(LIT64( 0x7FF8000000000000 ))#elif defined(TARGET_HPPA)#define float64_default_nan make_float64(LIT64( 0x7FF4000000000000 ))#elif SNAN_BIT_IS_ONE#define float64_default_nan make_float64(LIT64( 0x7FF7FFFFFFFFFFFF ))#else#define float64_default_nan make_float64(LIT64( 0xFFF8000000000000 ))#endif/*----------------------------------------------------------------------------| Returns 1 if the double-precision floating-point value `a' is a quiet| NaN; otherwise returns 0.*----------------------------------------------------------------------------*/int float64_is_nan( float64 a_ ){    bits64 a = float64_val(a_);#if SNAN_BIT_IS_ONE    return           ( ( ( a>>51 ) & 0xFFF ) == 0xFFE )        && ( a & LIT64( 0x0007FFFFFFFFFFFF ) );#else    return ( LIT64( 0xFFF0000000000000 ) <= (bits64) ( a<<1 ) );#endif}/*----------------------------------------------------------------------------| Returns 1 if the double-precision floating-point value `a' is a signaling| NaN; otherwise returns 0.*----------------------------------------------------------------------------*/int float64_is_signaling_nan( float64 a_ ){    bits64 a = float64_val(a_);#if SNAN_BIT_IS_ONE    return ( LIT64( 0xFFF0000000000000 ) <= (bits64) ( a<<1 ) );#else    return           ( ( ( a>>51 ) & 0xFFF ) == 0xFFE )        && ( a & LIT64( 0x0007FFFFFFFFFFFF ) );#endif}/*----------------------------------------------------------------------------| 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 STATUS_PARAM){    commonNaNT z;    if ( float64_is_signaling_nan( a ) ) float_raise( float_flag_invalid STATUS_VAR);    z.sign = float64_val(a)>>63;    z.low = 0;    z.high = float64_val(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 ){    bits64 mantissa = a.high>>12;    if ( mantissa )        return make_float64(              ( ( (bits64) a.sign )<<63 )            | LIT64( 0x7FF0000000000000 )            | ( a.high>>12 ));    else        return float64_default_nan;}/*----------------------------------------------------------------------------| 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 STATUS_PARAM){    flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN;    bits64 av, bv, res;    aIsNaN = float64_is_nan( a );