Annotation of qemu/fpu/softfloat-specialize.h, revision 1.1.1.4

1.1       root        1: 
                      2: /*============================================================================
                      3: 
                      4: This C source fragment is part of the SoftFloat IEC/IEEE Floating-point
                      5: Arithmetic Package, Release 2b.
                      6: 
                      7: Written by John R. Hauser.  This work was made possible in part by the
                      8: International Computer Science Institute, located at Suite 600, 1947 Center
                      9: Street, Berkeley, California 94704.  Funding was partially provided by the
                     10: National Science Foundation under grant MIP-9311980.  The original version
                     11: of this code was written as part of a project to build a fixed-point vector
                     12: processor in collaboration with the University of California at Berkeley,
                     13: overseen by Profs. Nelson Morgan and John Wawrzynek.  More information
                     14: is available through the Web page `http://www.cs.berkeley.edu/~jhauser/
                     15: arithmetic/SoftFloat.html'.
                     16: 
                     17: THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE.  Although reasonable effort has
                     18: been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT TIMES
                     19: RESULT IN INCORRECT BEHAVIOR.  USE OF THIS SOFTWARE IS RESTRICTED TO PERSONS
                     20: AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ALL LOSSES,
                     21: COSTS, OR OTHER PROBLEMS THEY INCUR DUE TO THE SOFTWARE, AND WHO FURTHERMORE
                     22: EFFECTIVELY INDEMNIFY JOHN HAUSER AND THE INTERNATIONAL COMPUTER SCIENCE
                     23: INSTITUTE (possibly via similar legal warning) AGAINST ALL LOSSES, COSTS, OR
                     24: OTHER PROBLEMS INCURRED BY THEIR CUSTOMERS AND CLIENTS DUE TO THE SOFTWARE.
                     25: 
                     26: Derivative works are acceptable, even for commercial purposes, so long as
                     27: (1) the source code for the derivative work includes prominent notice that
                     28: the work is derivative, and (2) the source code includes prominent notice with
                     29: these four paragraphs for those parts of this code that are retained.
                     30: 
                     31: =============================================================================*/
                     32: 
1.1.1.3   root       33: #if defined(TARGET_MIPS) || defined(TARGET_HPPA)
                     34: #define SNAN_BIT_IS_ONE                1
                     35: #else
                     36: #define SNAN_BIT_IS_ONE                0
                     37: #endif
                     38: 
1.1       root       39: /*----------------------------------------------------------------------------
                     40: | Raises the exceptions specified by `flags'.  Floating-point traps can be
                     41: | defined here if desired.  It is currently not possible for such a trap
                     42: | to substitute a result value.  If traps are not implemented, this routine
                     43: | should be simply `float_exception_flags |= flags;'.
                     44: *----------------------------------------------------------------------------*/
                     45: 
                     46: void float_raise( int8 flags STATUS_PARAM )
                     47: {
                     48:     STATUS(float_exception_flags) |= flags;
                     49: }
                     50: 
                     51: /*----------------------------------------------------------------------------
                     52: | Internal canonical NaN format.
                     53: *----------------------------------------------------------------------------*/
                     54: typedef struct {
                     55:     flag sign;
                     56:     bits64 high, low;
                     57: } commonNaNT;
                     58: 
                     59: /*----------------------------------------------------------------------------
                     60: | The pattern for a default generated single-precision NaN.
                     61: *----------------------------------------------------------------------------*/
1.1.1.3   root       62: #if defined(TARGET_SPARC)
                     63: #define float32_default_nan make_float32(0x7FFFFFFF)
1.1.1.4 ! root       64: #elif defined(TARGET_POWERPC) || defined(TARGET_ARM)
1.1.1.3   root       65: #define float32_default_nan make_float32(0x7FC00000)
                     66: #elif defined(TARGET_HPPA)
                     67: #define float32_default_nan make_float32(0x7FA00000)
                     68: #elif SNAN_BIT_IS_ONE
                     69: #define float32_default_nan make_float32(0x7FBFFFFF)
                     70: #else
                     71: #define float32_default_nan make_float32(0xFFC00000)
                     72: #endif
1.1       root       73: 
                     74: /*----------------------------------------------------------------------------
1.1.1.3   root       75: | Returns 1 if the single-precision floating-point value `a' is a quiet
                     76: | NaN; otherwise returns 0.
1.1       root       77: *----------------------------------------------------------------------------*/
                     78: 
1.1.1.3   root       79: int float32_is_nan( float32 a_ )
1.1       root       80: {
1.1.1.3   root       81:     uint32_t a = float32_val(a_);
                     82: #if SNAN_BIT_IS_ONE
                     83:     return ( ( ( a>>22 ) & 0x1FF ) == 0x1FE ) && ( a & 0x003FFFFF );
                     84: #else
                     85:     return ( 0xFF800000 <= (bits32) ( a<<1 ) );
                     86: #endif
1.1       root       87: }
                     88: 
                     89: /*----------------------------------------------------------------------------
                     90: | Returns 1 if the single-precision floating-point value `a' is a signaling
                     91: | NaN; otherwise returns 0.
                     92: *----------------------------------------------------------------------------*/
                     93: 
1.1.1.3   root       94: int float32_is_signaling_nan( float32 a_ )
1.1       root       95: {
1.1.1.3   root       96:     uint32_t a = float32_val(a_);
                     97: #if SNAN_BIT_IS_ONE
                     98:     return ( 0xFF800000 <= (bits32) ( a<<1 ) );
                     99: #else
1.1       root      100:     return ( ( ( a>>22 ) & 0x1FF ) == 0x1FE ) && ( a & 0x003FFFFF );
1.1.1.3   root      101: #endif
1.1       root      102: }
                    103: 
                    104: /*----------------------------------------------------------------------------
                    105: | Returns the result of converting the single-precision floating-point NaN
                    106: | `a' to the canonical NaN format.  If `a' is a signaling NaN, the invalid
                    107: | exception is raised.
                    108: *----------------------------------------------------------------------------*/
                    109: 
                    110: static commonNaNT float32ToCommonNaN( float32 a STATUS_PARAM )
                    111: {
                    112:     commonNaNT z;
                    113: 
                    114:     if ( float32_is_signaling_nan( a ) ) float_raise( float_flag_invalid STATUS_VAR );
1.1.1.3   root      115:     z.sign = float32_val(a)>>31;
1.1       root      116:     z.low = 0;
1.1.1.3   root      117:     z.high = ( (bits64) float32_val(a) )<<41;
1.1       root      118:     return z;
                    119: }
                    120: 
                    121: /*----------------------------------------------------------------------------
                    122: | Returns the result of converting the canonical NaN `a' to the single-
                    123: | precision floating-point format.
                    124: *----------------------------------------------------------------------------*/
                    125: 
                    126: static float32 commonNaNToFloat32( commonNaNT a )
                    127: {
1.1.1.3   root      128:     bits32 mantissa = a.high>>41;
                    129:     if ( mantissa )
                    130:         return make_float32(
                    131:             ( ( (bits32) a.sign )<<31 ) | 0x7F800000 | ( a.high>>41 ) );
                    132:     else
                    133:         return float32_default_nan;
1.1       root      134: }
                    135: 
                    136: /*----------------------------------------------------------------------------
                    137: | Takes two single-precision floating-point values `a' and `b', one of which
                    138: | is a NaN, and returns the appropriate NaN result.  If either `a' or `b' is a
                    139: | signaling NaN, the invalid exception is raised.
                    140: *----------------------------------------------------------------------------*/
                    141: 
                    142: static float32 propagateFloat32NaN( float32 a, float32 b STATUS_PARAM)
                    143: {
                    144:     flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN;
1.1.1.3   root      145:     bits32 av, bv, res;
1.1       root      146: 
1.1.1.4 ! root      147:     if ( STATUS(default_nan_mode) )
        !           148:         return float32_default_nan;
        !           149: 
1.1       root      150:     aIsNaN = float32_is_nan( a );
                    151:     aIsSignalingNaN = float32_is_signaling_nan( a );
                    152:     bIsNaN = float32_is_nan( b );
                    153:     bIsSignalingNaN = float32_is_signaling_nan( b );
1.1.1.3   root      154:     av = float32_val(a);
                    155:     bv = float32_val(b);
                    156: #if SNAN_BIT_IS_ONE
                    157:     av &= ~0x00400000;
                    158:     bv &= ~0x00400000;
                    159: #else
                    160:     av |= 0x00400000;
                    161:     bv |= 0x00400000;
                    162: #endif
1.1       root      163:     if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid STATUS_VAR);
                    164:     if ( aIsSignalingNaN ) {
                    165:         if ( bIsSignalingNaN ) goto returnLargerSignificand;
1.1.1.3   root      166:         res = bIsNaN ? bv : av;
1.1       root      167:     }
                    168:     else if ( aIsNaN ) {
1.1.1.3   root      169:         if ( bIsSignalingNaN | ! bIsNaN )
                    170:             res = av;
                    171:         else {
1.1       root      172:  returnLargerSignificand:
1.1.1.3   root      173:             if ( (bits32) ( av<<1 ) < (bits32) ( bv<<1 ) )
                    174:                 res = bv;
                    175:             else if ( (bits32) ( bv<<1 ) < (bits32) ( av<<1 ) )
                    176:                 res = av;
                    177:             else
                    178:                 res = ( av < bv ) ? av : bv;
                    179:         }
1.1       root      180:     }
                    181:     else {
1.1.1.3   root      182:         res = bv;
1.1       root      183:     }
1.1.1.3   root      184:     return make_float32(res);
1.1       root      185: }
                    186: 
                    187: /*----------------------------------------------------------------------------
                    188: | The pattern for a default generated double-precision NaN.
                    189: *----------------------------------------------------------------------------*/
1.1.1.3   root      190: #if defined(TARGET_SPARC)
                    191: #define float64_default_nan make_float64(LIT64( 0x7FFFFFFFFFFFFFFF ))
1.1.1.4 ! root      192: #elif defined(TARGET_POWERPC) || defined(TARGET_ARM)
1.1.1.3   root      193: #define float64_default_nan make_float64(LIT64( 0x7FF8000000000000 ))
                    194: #elif defined(TARGET_HPPA)
                    195: #define float64_default_nan make_float64(LIT64( 0x7FF4000000000000 ))
                    196: #elif SNAN_BIT_IS_ONE
                    197: #define float64_default_nan make_float64(LIT64( 0x7FF7FFFFFFFFFFFF ))
                    198: #else
                    199: #define float64_default_nan make_float64(LIT64( 0xFFF8000000000000 ))
                    200: #endif
1.1       root      201: 
                    202: /*----------------------------------------------------------------------------
1.1.1.3   root      203: | Returns 1 if the double-precision floating-point value `a' is a quiet
                    204: | NaN; otherwise returns 0.
1.1       root      205: *----------------------------------------------------------------------------*/
                    206: 
1.1.1.3   root      207: int float64_is_nan( float64 a_ )
1.1       root      208: {
1.1.1.3   root      209:     bits64 a = float64_val(a_);
                    210: #if SNAN_BIT_IS_ONE
                    211:     return
                    212:            ( ( ( a>>51 ) & 0xFFF ) == 0xFFE )
                    213:         && ( a & LIT64( 0x0007FFFFFFFFFFFF ) );
                    214: #else
                    215:     return ( LIT64( 0xFFF0000000000000 ) <= (bits64) ( a<<1 ) );
                    216: #endif
1.1       root      217: }
                    218: 
                    219: /*----------------------------------------------------------------------------
                    220: | Returns 1 if the double-precision floating-point value `a' is a signaling
                    221: | NaN; otherwise returns 0.
                    222: *----------------------------------------------------------------------------*/
                    223: 
1.1.1.3   root      224: int float64_is_signaling_nan( float64 a_ )
1.1       root      225: {
1.1.1.3   root      226:     bits64 a = float64_val(a_);
                    227: #if SNAN_BIT_IS_ONE
                    228:     return ( LIT64( 0xFFF0000000000000 ) <= (bits64) ( a<<1 ) );
                    229: #else
1.1       root      230:     return
                    231:            ( ( ( a>>51 ) & 0xFFF ) == 0xFFE )
                    232:         && ( a & LIT64( 0x0007FFFFFFFFFFFF ) );
1.1.1.3   root      233: #endif
1.1       root      234: }
                    235: 
                    236: /*----------------------------------------------------------------------------
                    237: | Returns the result of converting the double-precision floating-point NaN
                    238: | `a' to the canonical NaN format.  If `a' is a signaling NaN, the invalid
                    239: | exception is raised.
                    240: *----------------------------------------------------------------------------*/
                    241: 
                    242: static commonNaNT float64ToCommonNaN( float64 a STATUS_PARAM)
                    243: {
                    244:     commonNaNT z;
                    245: 
                    246:     if ( float64_is_signaling_nan( a ) ) float_raise( float_flag_invalid STATUS_VAR);
1.1.1.3   root      247:     z.sign = float64_val(a)>>63;
1.1       root      248:     z.low = 0;
1.1.1.3   root      249:     z.high = float64_val(a)<<12;
1.1       root      250:     return z;
                    251: }
                    252: 
                    253: /*----------------------------------------------------------------------------
                    254: | Returns the result of converting the canonical NaN `a' to the double-
                    255: | precision floating-point format.
                    256: *----------------------------------------------------------------------------*/
                    257: 
                    258: static float64 commonNaNToFloat64( commonNaNT a )
                    259: {
1.1.1.3   root      260:     bits64 mantissa = a.high>>12;
1.1       root      261: 
1.1.1.3   root      262:     if ( mantissa )
                    263:         return make_float64(
                    264:               ( ( (bits64) a.sign )<<63 )
                    265:             | LIT64( 0x7FF0000000000000 )
                    266:             | ( a.high>>12 ));
                    267:     else
                    268:         return float64_default_nan;
1.1       root      269: }
                    270: 
                    271: /*----------------------------------------------------------------------------
                    272: | Takes two double-precision floating-point values `a' and `b', one of which
                    273: | is a NaN, and returns the appropriate NaN result.  If either `a' or `b' is a
                    274: | signaling NaN, the invalid exception is raised.
                    275: *----------------------------------------------------------------------------*/
                    276: 
                    277: static float64 propagateFloat64NaN( float64 a, float64 b STATUS_PARAM)
                    278: {
                    279:     flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN;
1.1.1.3   root      280:     bits64 av, bv, res;
1.1       root      281: 
1.1.1.4 ! root      282:     if ( STATUS(default_nan_mode) )
        !           283:         return float64_default_nan;
        !           284: 
1.1       root      285:     aIsNaN = float64_is_nan( a );
                    286:     aIsSignalingNaN = float64_is_signaling_nan( a );
                    287:     bIsNaN = float64_is_nan( b );
                    288:     bIsSignalingNaN = float64_is_signaling_nan( b );
1.1.1.3   root      289:     av = float64_val(a);
                    290:     bv = float64_val(b);
                    291: #if SNAN_BIT_IS_ONE
                    292:     av &= ~LIT64( 0x0008000000000000 );
                    293:     bv &= ~LIT64( 0x0008000000000000 );
                    294: #else
                    295:     av |= LIT64( 0x0008000000000000 );
                    296:     bv |= LIT64( 0x0008000000000000 );
                    297: #endif
1.1       root      298:     if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid STATUS_VAR);
                    299:     if ( aIsSignalingNaN ) {
                    300:         if ( bIsSignalingNaN ) goto returnLargerSignificand;
1.1.1.3   root      301:         res = bIsNaN ? bv : av;
1.1       root      302:     }
                    303:     else if ( aIsNaN ) {
1.1.1.3   root      304:         if ( bIsSignalingNaN | ! bIsNaN )
                    305:             res = av;
                    306:         else {
1.1       root      307:  returnLargerSignificand:
1.1.1.3   root      308:             if ( (bits64) ( av<<1 ) < (bits64) ( bv<<1 ) )
                    309:                 res = bv;
                    310:             else if ( (bits64) ( bv<<1 ) < (bits64) ( av<<1 ) )
                    311:                 res = av;
                    312:             else
                    313:                 res = ( av < bv ) ? av : bv;
                    314:         }
1.1       root      315:     }
                    316:     else {
1.1.1.3   root      317:         res = bv;
1.1       root      318:     }
1.1.1.3   root      319:     return make_float64(res);
1.1       root      320: }
                    321: 
                    322: #ifdef FLOATX80
                    323: 
                    324: /*----------------------------------------------------------------------------
                    325: | The pattern for a default generated extended double-precision NaN.  The
                    326: | `high' and `low' values hold the most- and least-significant bits,
                    327: | respectively.
                    328: *----------------------------------------------------------------------------*/
1.1.1.3   root      329: #if SNAN_BIT_IS_ONE
                    330: #define floatx80_default_nan_high 0x7FFF
                    331: #define floatx80_default_nan_low  LIT64( 0xBFFFFFFFFFFFFFFF )
                    332: #else
1.1       root      333: #define floatx80_default_nan_high 0xFFFF
                    334: #define floatx80_default_nan_low  LIT64( 0xC000000000000000 )
1.1.1.3   root      335: #endif
1.1       root      336: 
                    337: /*----------------------------------------------------------------------------
                    338: | Returns 1 if the extended double-precision floating-point value `a' is a
1.1.1.3   root      339: | quiet NaN; otherwise returns 0.
1.1       root      340: *----------------------------------------------------------------------------*/
                    341: 
1.1.1.2   root      342: int floatx80_is_nan( floatx80 a )
1.1       root      343: {
1.1.1.3   root      344: #if SNAN_BIT_IS_ONE
                    345:     bits64 aLow;
1.1       root      346: 
1.1.1.3   root      347:     aLow = a.low & ~ LIT64( 0x4000000000000000 );
                    348:     return
                    349:            ( ( a.high & 0x7FFF ) == 0x7FFF )
                    350:         && (bits64) ( aLow<<1 )
                    351:         && ( a.low == aLow );
                    352: #else
1.1       root      353:     return ( ( a.high & 0x7FFF ) == 0x7FFF ) && (bits64) ( a.low<<1 );
1.1.1.3   root      354: #endif
1.1       root      355: }
                    356: 
                    357: /*----------------------------------------------------------------------------
                    358: | Returns 1 if the extended double-precision floating-point value `a' is a
                    359: | signaling NaN; otherwise returns 0.
                    360: *----------------------------------------------------------------------------*/
                    361: 
1.1.1.2   root      362: int floatx80_is_signaling_nan( floatx80 a )
1.1       root      363: {
1.1.1.3   root      364: #if SNAN_BIT_IS_ONE
                    365:     return ( ( a.high & 0x7FFF ) == 0x7FFF ) && (bits64) ( a.low<<1 );
                    366: #else
1.1       root      367:     bits64 aLow;
                    368: 
                    369:     aLow = a.low & ~ LIT64( 0x4000000000000000 );
                    370:     return
                    371:            ( ( a.high & 0x7FFF ) == 0x7FFF )
                    372:         && (bits64) ( aLow<<1 )
                    373:         && ( a.low == aLow );
1.1.1.3   root      374: #endif
1.1       root      375: }
                    376: 
                    377: /*----------------------------------------------------------------------------
                    378: | Returns the result of converting the extended double-precision floating-
                    379: | point NaN `a' to the canonical NaN format.  If `a' is a signaling NaN, the
                    380: | invalid exception is raised.
                    381: *----------------------------------------------------------------------------*/
                    382: 
                    383: static commonNaNT floatx80ToCommonNaN( floatx80 a STATUS_PARAM)
                    384: {
                    385:     commonNaNT z;
                    386: 
                    387:     if ( floatx80_is_signaling_nan( a ) ) float_raise( float_flag_invalid STATUS_VAR);
                    388:     z.sign = a.high>>15;
                    389:     z.low = 0;
1.1.1.3   root      390:     z.high = a.low;
1.1       root      391:     return z;
                    392: }
                    393: 
                    394: /*----------------------------------------------------------------------------
                    395: | Returns the result of converting the canonical NaN `a' to the extended
                    396: | double-precision floating-point format.
                    397: *----------------------------------------------------------------------------*/
                    398: 
                    399: static floatx80 commonNaNToFloatx80( commonNaNT a )
                    400: {
                    401:     floatx80 z;
                    402: 
1.1.1.3   root      403:     if (a.high)
                    404:         z.low = a.high;
                    405:     else
                    406:         z.low = floatx80_default_nan_low;
1.1       root      407:     z.high = ( ( (bits16) a.sign )<<15 ) | 0x7FFF;
                    408:     return z;
                    409: }
                    410: 
                    411: /*----------------------------------------------------------------------------
                    412: | Takes two extended double-precision floating-point values `a' and `b', one
                    413: | of which is a NaN, and returns the appropriate NaN result.  If either `a' or
                    414: | `b' is a signaling NaN, the invalid exception is raised.
                    415: *----------------------------------------------------------------------------*/
                    416: 
                    417: static floatx80 propagateFloatx80NaN( floatx80 a, floatx80 b STATUS_PARAM)
                    418: {
                    419:     flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN;
                    420: 
1.1.1.4 ! root      421:     if ( STATUS(default_nan_mode) ) {
        !           422:         a.low = floatx80_default_nan_low;
        !           423:         a.high = floatx80_default_nan_high;
        !           424:         return a;
        !           425:     }
        !           426: 
1.1       root      427:     aIsNaN = floatx80_is_nan( a );
                    428:     aIsSignalingNaN = floatx80_is_signaling_nan( a );
                    429:     bIsNaN = floatx80_is_nan( b );
                    430:     bIsSignalingNaN = floatx80_is_signaling_nan( b );
1.1.1.3   root      431: #if SNAN_BIT_IS_ONE
                    432:     a.low &= ~LIT64( 0xC000000000000000 );
                    433:     b.low &= ~LIT64( 0xC000000000000000 );
                    434: #else
1.1       root      435:     a.low |= LIT64( 0xC000000000000000 );
                    436:     b.low |= LIT64( 0xC000000000000000 );
1.1.1.3   root      437: #endif
1.1       root      438:     if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid STATUS_VAR);
                    439:     if ( aIsSignalingNaN ) {
                    440:         if ( bIsSignalingNaN ) goto returnLargerSignificand;
                    441:         return bIsNaN ? b : a;
                    442:     }
                    443:     else if ( aIsNaN ) {
                    444:         if ( bIsSignalingNaN | ! bIsNaN ) return a;
                    445:  returnLargerSignificand:
                    446:         if ( a.low < b.low ) return b;
                    447:         if ( b.low < a.low ) return a;
                    448:         return ( a.high < b.high ) ? a : b;
                    449:     }
                    450:     else {
                    451:         return b;
                    452:     }
                    453: }
                    454: 
                    455: #endif
                    456: 
                    457: #ifdef FLOAT128
                    458: 
                    459: /*----------------------------------------------------------------------------
                    460: | The pattern for a default generated quadruple-precision NaN.  The `high' and
                    461: | `low' values hold the most- and least-significant bits, respectively.
                    462: *----------------------------------------------------------------------------*/
1.1.1.3   root      463: #if SNAN_BIT_IS_ONE
                    464: #define float128_default_nan_high LIT64( 0x7FFF7FFFFFFFFFFF )
                    465: #define float128_default_nan_low  LIT64( 0xFFFFFFFFFFFFFFFF )
                    466: #else
1.1       root      467: #define float128_default_nan_high LIT64( 0xFFFF800000000000 )
                    468: #define float128_default_nan_low  LIT64( 0x0000000000000000 )
1.1.1.3   root      469: #endif
1.1       root      470: 
                    471: /*----------------------------------------------------------------------------
1.1.1.3   root      472: | Returns 1 if the quadruple-precision floating-point value `a' is a quiet
                    473: | NaN; otherwise returns 0.
1.1       root      474: *----------------------------------------------------------------------------*/
                    475: 
1.1.1.2   root      476: int float128_is_nan( float128 a )
1.1       root      477: {
1.1.1.3   root      478: #if SNAN_BIT_IS_ONE
                    479:     return
                    480:            ( ( ( a.high>>47 ) & 0xFFFF ) == 0xFFFE )
                    481:         && ( a.low || ( a.high & LIT64( 0x00007FFFFFFFFFFF ) ) );
                    482: #else
1.1       root      483:     return
                    484:            ( LIT64( 0xFFFE000000000000 ) <= (bits64) ( a.high<<1 ) )
                    485:         && ( a.low || ( a.high & LIT64( 0x0000FFFFFFFFFFFF ) ) );
1.1.1.3   root      486: #endif
1.1       root      487: }
                    488: 
                    489: /*----------------------------------------------------------------------------
                    490: | Returns 1 if the quadruple-precision floating-point value `a' is a
                    491: | signaling NaN; otherwise returns 0.
                    492: *----------------------------------------------------------------------------*/
                    493: 
1.1.1.2   root      494: int float128_is_signaling_nan( float128 a )
1.1       root      495: {
1.1.1.3   root      496: #if SNAN_BIT_IS_ONE
                    497:     return
                    498:            ( LIT64( 0xFFFE000000000000 ) <= (bits64) ( a.high<<1 ) )
                    499:         && ( a.low || ( a.high & LIT64( 0x0000FFFFFFFFFFFF ) ) );
                    500: #else
1.1       root      501:     return
                    502:            ( ( ( a.high>>47 ) & 0xFFFF ) == 0xFFFE )
                    503:         && ( a.low || ( a.high & LIT64( 0x00007FFFFFFFFFFF ) ) );
1.1.1.3   root      504: #endif
1.1       root      505: }
                    506: 
                    507: /*----------------------------------------------------------------------------
                    508: | Returns the result of converting the quadruple-precision floating-point NaN
                    509: | `a' to the canonical NaN format.  If `a' is a signaling NaN, the invalid
                    510: | exception is raised.
                    511: *----------------------------------------------------------------------------*/
                    512: 
                    513: static commonNaNT float128ToCommonNaN( float128 a STATUS_PARAM)
                    514: {
                    515:     commonNaNT z;
                    516: 
                    517:     if ( float128_is_signaling_nan( a ) ) float_raise( float_flag_invalid STATUS_VAR);
                    518:     z.sign = a.high>>63;
                    519:     shortShift128Left( a.high, a.low, 16, &z.high, &z.low );
                    520:     return z;
                    521: }
                    522: 
                    523: /*----------------------------------------------------------------------------
                    524: | Returns the result of converting the canonical NaN `a' to the quadruple-
                    525: | precision floating-point format.
                    526: *----------------------------------------------------------------------------*/
                    527: 
                    528: static float128 commonNaNToFloat128( commonNaNT a )
                    529: {
                    530:     float128 z;
                    531: 
                    532:     shift128Right( a.high, a.low, 16, &z.high, &z.low );
1.1.1.3   root      533:     z.high |= ( ( (bits64) a.sign )<<63 ) | LIT64( 0x7FFF000000000000 );
1.1       root      534:     return z;
                    535: }
                    536: 
                    537: /*----------------------------------------------------------------------------
                    538: | Takes two quadruple-precision floating-point values `a' and `b', one of
                    539: | which is a NaN, and returns the appropriate NaN result.  If either `a' or
                    540: | `b' is a signaling NaN, the invalid exception is raised.
                    541: *----------------------------------------------------------------------------*/
                    542: 
                    543: static float128 propagateFloat128NaN( float128 a, float128 b STATUS_PARAM)
                    544: {
                    545:     flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN;
                    546: 
1.1.1.4 ! root      547:     if ( STATUS(default_nan_mode) ) {
        !           548:         a.low = float128_default_nan_low;
        !           549:         a.high = float128_default_nan_high;
        !           550:         return a;
        !           551:     }
        !           552: 
1.1       root      553:     aIsNaN = float128_is_nan( a );
                    554:     aIsSignalingNaN = float128_is_signaling_nan( a );
                    555:     bIsNaN = float128_is_nan( b );
                    556:     bIsSignalingNaN = float128_is_signaling_nan( b );
1.1.1.3   root      557: #if SNAN_BIT_IS_ONE
                    558:     a.high &= ~LIT64( 0x0000800000000000 );
                    559:     b.high &= ~LIT64( 0x0000800000000000 );
                    560: #else
1.1       root      561:     a.high |= LIT64( 0x0000800000000000 );
                    562:     b.high |= LIT64( 0x0000800000000000 );
1.1.1.3   root      563: #endif
1.1       root      564:     if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid STATUS_VAR);
                    565:     if ( aIsSignalingNaN ) {
                    566:         if ( bIsSignalingNaN ) goto returnLargerSignificand;
                    567:         return bIsNaN ? b : a;
                    568:     }
                    569:     else if ( aIsNaN ) {
                    570:         if ( bIsSignalingNaN | ! bIsNaN ) return a;
                    571:  returnLargerSignificand:
                    572:         if ( lt128( a.high<<1, a.low, b.high<<1, b.low ) ) return b;
                    573:         if ( lt128( b.high<<1, b.low, a.high<<1, a.low ) ) return a;
                    574:         return ( a.high < b.high ) ? a : b;
                    575:     }
                    576:     else {
                    577:         return b;
                    578:     }
                    579: }
                    580: 
                    581: #endif

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