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- /*
- ===============================================================================
- 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
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