|  |  | 
|  | /* | 
|  | =============================================================================== | 
|  |  | 
|  | This C source fragment is part of the SoftFloat IEC/IEEE Floating-point | 
|  | Arithmetic Package, Release 2. | 
|  |  | 
|  | 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.jhauser.us/arithmetic/SoftFloat-2b/SoftFloat-source.txt | 
|  |  | 
|  | 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 ANY | 
|  | AND ALL LOSSES, COSTS, OR OTHER PROBLEMS ARISING FROM ITS USE. | 
|  |  | 
|  | Derivative works are acceptable, even for commercial purposes, so long as | 
|  | (1) they include prominent notice that the work is derivative, and (2) they | 
|  | include prominent notice akin to these three 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;'. | 
|  |  | 
|  | ScottB:  November 4, 1998 | 
|  | Moved this function out of softfloat-specialize into fpmodule.c. | 
|  | This effectively isolates all the changes required for integrating with the | 
|  | Linux kernel into fpmodule.c.  Porting to NetBSD should only require modifying | 
|  | fpmodule.c to integrate with the NetBSD kernel (I hope!). | 
|  | ------------------------------------------------------------------------------- | 
|  | 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 ) | 
|  | { | 
|  | //register int lr; | 
|  | bits64 aLow; | 
|  |  | 
|  | //__asm__("mov %0, lr" : : "g" (lr)); | 
|  | //fp_printk("floatx80_is_signalling_nan() called from 0x%08x\n",lr); | 
|  | 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; | 
|  | z.__padding = 0; | 
|  | 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. | 
|  | ------------------------------------------------------------------------------- | 
|  | */ | 
|  | static 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; | 
|  | } | 
|  |  | 
|  | } | 
|  |  | 
|  | #endif |