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authorLinus Torvalds <torvalds@ppc970.osdl.org>2005-04-16 15:20:36 -0700
committerLinus Torvalds <torvalds@ppc970.osdl.org>2005-04-16 15:20:36 -0700
commit1da177e4c3f41524e886b7f1b8a0c1fc7321cac2 (patch)
tree0bba044c4ce775e45a88a51686b5d9f90697ea9d /arch/arm/nwfpe/softfloat.c
Linux-2.6.12-rc2v2.6.12-rc2
Initial git repository build. I'm not bothering with the full history, even though we have it. We can create a separate "historical" git archive of that later if we want to, and in the meantime it's about 3.2GB when imported into git - space that would just make the early git days unnecessarily complicated, when we don't have a lot of good infrastructure for it. Let it rip!
Diffstat (limited to 'arch/arm/nwfpe/softfloat.c')
-rw-r--r--arch/arm/nwfpe/softfloat.c3443
1 files changed, 3443 insertions, 0 deletions
diff --git a/arch/arm/nwfpe/softfloat.c b/arch/arm/nwfpe/softfloat.c
new file mode 100644
index 00000000000..9d743ae2906
--- /dev/null
+++ b/arch/arm/nwfpe/softfloat.c
@@ -0,0 +1,3443 @@
+/*
+===============================================================================
+
+This C source file 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://HTTP.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 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.
+
+===============================================================================
+*/
+
+#include "fpa11.h"
+//#include "milieu.h"
+//#include "softfloat.h"
+
+/*
+-------------------------------------------------------------------------------
+Floating-point rounding mode, extended double-precision rounding precision,
+and exception flags.
+-------------------------------------------------------------------------------
+*/
+int8 float_rounding_mode = float_round_nearest_even;
+int8 floatx80_rounding_precision = 80;
+int8 float_exception_flags;
+
+/*
+-------------------------------------------------------------------------------
+Primitive arithmetic functions, including multi-word arithmetic, and
+division and square root approximations. (Can be specialized to target if
+desired.)
+-------------------------------------------------------------------------------
+*/
+#include "softfloat-macros"
+
+/*
+-------------------------------------------------------------------------------
+Functions and definitions to determine: (1) whether tininess for underflow
+is detected before or after rounding by default, (2) what (if anything)
+happens when exceptions are raised, (3) how signaling NaNs are distinguished
+from quiet NaNs, (4) the default generated quiet NaNs, and (5) how NaNs
+are propagated from function inputs to output. These details are target-
+specific.
+-------------------------------------------------------------------------------
+*/
+#include "softfloat-specialize"
+
+/*
+-------------------------------------------------------------------------------
+Takes a 64-bit fixed-point value `absZ' with binary point between bits 6
+and 7, and returns the properly rounded 32-bit integer corresponding to the
+input. If `zSign' is nonzero, the input is negated before being converted
+to an integer. Bit 63 of `absZ' must be zero. Ordinarily, the fixed-point
+input is simply rounded to an integer, with the inexact exception raised if
+the input cannot be represented exactly as an integer. If the fixed-point
+input is too large, however, the invalid exception is raised and the largest
+positive or negative integer is returned.
+-------------------------------------------------------------------------------
+*/
+static int32 roundAndPackInt32( flag zSign, bits64 absZ )
+{
+ int8 roundingMode;
+ flag roundNearestEven;
+ int8 roundIncrement, roundBits;
+ int32 z;
+
+ roundingMode = float_rounding_mode;
+ roundNearestEven = ( roundingMode == float_round_nearest_even );
+ roundIncrement = 0x40;
+ if ( ! roundNearestEven ) {
+ if ( roundingMode == float_round_to_zero ) {
+ roundIncrement = 0;
+ }
+ else {
+ roundIncrement = 0x7F;
+ if ( zSign ) {
+ if ( roundingMode == float_round_up ) roundIncrement = 0;
+ }
+ else {
+ if ( roundingMode == float_round_down ) roundIncrement = 0;
+ }
+ }
+ }
+ roundBits = absZ & 0x7F;
+ absZ = ( absZ + roundIncrement )>>7;
+ absZ &= ~ ( ( ( roundBits ^ 0x40 ) == 0 ) & roundNearestEven );
+ z = absZ;
+ if ( zSign ) z = - z;
+ if ( ( absZ>>32 ) || ( z && ( ( z < 0 ) ^ zSign ) ) ) {
+ float_exception_flags |= float_flag_invalid;
+ return zSign ? 0x80000000 : 0x7FFFFFFF;
+ }
+ if ( roundBits ) float_exception_flags |= float_flag_inexact;
+ return z;
+
+}
+
+/*
+-------------------------------------------------------------------------------
+Returns the fraction bits of the single-precision floating-point value `a'.
+-------------------------------------------------------------------------------
+*/
+INLINE bits32 extractFloat32Frac( float32 a )
+{
+
+ return a & 0x007FFFFF;
+
+}
+
+/*
+-------------------------------------------------------------------------------
+Returns the exponent bits of the single-precision floating-point value `a'.
+-------------------------------------------------------------------------------
+*/
+INLINE int16 extractFloat32Exp( float32 a )
+{
+
+ return ( a>>23 ) & 0xFF;
+
+}
+
+/*
+-------------------------------------------------------------------------------
+Returns the sign bit of the single-precision floating-point value `a'.
+-------------------------------------------------------------------------------
+*/
+#if 0 /* in softfloat.h */
+INLINE flag extractFloat32Sign( float32 a )
+{
+
+ return a>>31;
+
+}
+#endif
+
+/*
+-------------------------------------------------------------------------------
+Normalizes the subnormal single-precision floating-point value represented
+by the denormalized significand `aSig'. The normalized exponent and
+significand are stored at the locations pointed to by `zExpPtr' and
+`zSigPtr', respectively.
+-------------------------------------------------------------------------------
+*/
+static void
+ normalizeFloat32Subnormal( bits32 aSig, int16 *zExpPtr, bits32 *zSigPtr )
+{
+ int8 shiftCount;
+
+ shiftCount = countLeadingZeros32( aSig ) - 8;
+ *zSigPtr = aSig<<shiftCount;
+ *zExpPtr = 1 - shiftCount;
+
+}
+
+/*
+-------------------------------------------------------------------------------
+Packs the sign `zSign', exponent `zExp', and significand `zSig' into a
+single-precision floating-point value, returning the result. After being
+shifted into the proper positions, the three fields are simply added
+together to form the result. This means that any integer portion of `zSig'
+will be added into the exponent. Since a properly normalized significand
+will have an integer portion equal to 1, the `zExp' input should be 1 less
+than the desired result exponent whenever `zSig' is a complete, normalized
+significand.
+-------------------------------------------------------------------------------
+*/
+INLINE float32 packFloat32( flag zSign, int16 zExp, bits32 zSig )
+{
+#if 0
+ float32 f;
+ __asm__("@ packFloat32 \n\
+ mov %0, %1, asl #31 \n\
+ orr %0, %2, asl #23 \n\
+ orr %0, %3"
+ : /* no outputs */
+ : "g" (f), "g" (zSign), "g" (zExp), "g" (zSig)
+ : "cc");
+ return f;
+#else
+ return ( ( (bits32) zSign )<<31 ) + ( ( (bits32) zExp )<<23 ) + zSig;
+#endif
+}
+
+/*
+-------------------------------------------------------------------------------
+Takes an abstract floating-point value having sign `zSign', exponent `zExp',
+and significand `zSig', and returns the proper single-precision floating-
+point value corresponding to the abstract input. Ordinarily, the abstract
+value is simply rounded and packed into the single-precision format, with
+the inexact exception raised if the abstract input cannot be represented
+exactly. If the abstract value is too large, however, the overflow and
+inexact exceptions are raised and an infinity or maximal finite value is
+returned. If the abstract value is too small, the input value is rounded to
+a subnormal number, and the underflow and inexact exceptions are raised if
+the abstract input cannot be represented exactly as a subnormal single-
+precision floating-point number.
+ The input significand `zSig' has its binary point between bits 30
+and 29, which is 7 bits to the left of the usual location. This shifted
+significand must be normalized or smaller. If `zSig' is not normalized,
+`zExp' must be 0; in that case, the result returned is a subnormal number,
+and it must not require rounding. In the usual case that `zSig' is
+normalized, `zExp' must be 1 less than the ``true'' floating-point exponent.
+The handling of underflow and overflow follows the IEC/IEEE Standard for
+Binary Floating-point Arithmetic.
+-------------------------------------------------------------------------------
+*/
+static float32 roundAndPackFloat32( flag zSign, int16 zExp, bits32 zSig )
+{
+ int8 roundingMode;
+ flag roundNearestEven;
+ int8 roundIncrement, roundBits;
+ flag isTiny;
+
+ roundingMode = float_rounding_mode;
+ roundNearestEven = ( roundingMode == float_round_nearest_even );
+ roundIncrement = 0x40;
+ if ( ! roundNearestEven ) {
+ if ( roundingMode == float_round_to_zero ) {
+ roundIncrement = 0;
+ }
+ else {
+ roundIncrement = 0x7F;
+ if ( zSign ) {
+ if ( roundingMode == float_round_up ) roundIncrement = 0;
+ }
+ else {
+ if ( roundingMode == float_round_down ) roundIncrement = 0;
+ }
+ }
+ }
+ roundBits = zSig & 0x7F;
+ if ( 0xFD <= (bits16) zExp ) {
+ if ( ( 0xFD < zExp )
+ || ( ( zExp == 0xFD )
+ && ( (sbits32) ( zSig + roundIncrement ) < 0 ) )
+ ) {
+ float_raise( float_flag_overflow | float_flag_inexact );
+ return packFloat32( zSign, 0xFF, 0 ) - ( roundIncrement == 0 );
+ }
+ if ( zExp < 0 ) {
+ isTiny =
+ ( float_detect_tininess == float_tininess_before_rounding )
+ || ( zExp < -1 )
+ || ( zSig + roundIncrement < 0x80000000 );
+ shift32RightJamming( zSig, - zExp, &zSig );
+ zExp = 0;
+ roundBits = zSig & 0x7F;
+ if ( isTiny && roundBits ) float_raise( float_flag_underflow );
+ }
+ }
+ if ( roundBits ) float_exception_flags |= float_flag_inexact;
+ zSig = ( zSig + roundIncrement )>>7;
+ zSig &= ~ ( ( ( roundBits ^ 0x40 ) == 0 ) & roundNearestEven );
+ if ( zSig == 0 ) zExp = 0;
+ return packFloat32( zSign, zExp, zSig );
+
+}
+
+/*
+-------------------------------------------------------------------------------
+Takes an abstract floating-point value having sign `zSign', exponent `zExp',
+and significand `zSig', and returns the proper single-precision floating-
+point value corresponding to the abstract input. This routine is just like
+`roundAndPackFloat32' except that `zSig' does not have to be normalized in
+any way. In all cases, `zExp' must be 1 less than the ``true'' floating-
+point exponent.
+-------------------------------------------------------------------------------
+*/
+static float32
+ normalizeRoundAndPackFloat32( flag zSign, int16 zExp, bits32 zSig )
+{
+ int8 shiftCount;
+
+ shiftCount = countLeadingZeros32( zSig ) - 1;
+ return roundAndPackFloat32( zSign, zExp - shiftCount, zSig<<shiftCount );
+
+}
+
+/*
+-------------------------------------------------------------------------------
+Returns the fraction bits of the double-precision floating-point value `a'.
+-------------------------------------------------------------------------------
+*/
+INLINE bits64 extractFloat64Frac( float64 a )
+{
+
+ return a & LIT64( 0x000FFFFFFFFFFFFF );
+
+}
+
+/*
+-------------------------------------------------------------------------------
+Returns the exponent bits of the double-precision floating-point value `a'.
+-------------------------------------------------------------------------------
+*/
+INLINE int16 extractFloat64Exp( float64 a )
+{
+
+ return ( a>>52 ) & 0x7FF;
+
+}
+
+/*
+-------------------------------------------------------------------------------
+Returns the sign bit of the double-precision floating-point value `a'.
+-------------------------------------------------------------------------------
+*/
+#if 0 /* in softfloat.h */
+INLINE flag extractFloat64Sign( float64 a )
+{
+
+ return a>>63;
+
+}
+#endif
+
+/*
+-------------------------------------------------------------------------------
+Normalizes the subnormal double-precision floating-point value represented
+by the denormalized significand `aSig'. The normalized exponent and
+significand are stored at the locations pointed to by `zExpPtr' and
+`zSigPtr', respectively.
+-------------------------------------------------------------------------------
+*/
+static void
+ normalizeFloat64Subnormal( bits64 aSig, int16 *zExpPtr, bits64 *zSigPtr )
+{
+ int8 shiftCount;
+
+ shiftCount = countLeadingZeros64( aSig ) - 11;
+ *zSigPtr = aSig<<shiftCount;
+ *zExpPtr = 1 - shiftCount;
+
+}
+
+/*
+-------------------------------------------------------------------------------
+Packs the sign `zSign', exponent `zExp', and significand `zSig' into a
+double-precision floating-point value, returning the result. After being
+shifted into the proper positions, the three fields are simply added
+together to form the result. This means that any integer portion of `zSig'
+will be added into the exponent. Since a properly normalized significand
+will have an integer portion equal to 1, the `zExp' input should be 1 less
+than the desired result exponent whenever `zSig' is a complete, normalized
+significand.
+-------------------------------------------------------------------------------
+*/
+INLINE float64 packFloat64( flag zSign, int16 zExp, bits64 zSig )
+{
+
+ return ( ( (bits64) zSign )<<63 ) + ( ( (bits64) zExp )<<52 ) + zSig;
+
+}
+
+/*
+-------------------------------------------------------------------------------
+Takes an abstract floating-point value having sign `zSign', exponent `zExp',
+and significand `zSig', and returns the proper double-precision floating-
+point value corresponding to the abstract input. Ordinarily, the abstract
+value is simply rounded and packed into the double-precision format, with
+the inexact exception raised if the abstract input cannot be represented
+exactly. If the abstract value is too large, however, the overflow and
+inexact exceptions are raised and an infinity or maximal finite value is
+returned. If the abstract value is too small, the input value is rounded to
+a subnormal number, and the underflow and inexact exceptions are raised if
+the abstract input cannot be represented exactly as a subnormal double-
+precision floating-point number.
+ The input significand `zSig' has its binary point between bits 62
+and 61, which is 10 bits to the left of the usual location. This shifted
+significand must be normalized or smaller. If `zSig' is not normalized,
+`zExp' must be 0; in that case, the result returned is a subnormal number,
+and it must not require rounding. In the usual case that `zSig' is
+normalized, `zExp' must be 1 less than the ``true'' floating-point exponent.
+The handling of underflow and overflow follows the IEC/IEEE Standard for
+Binary Floating-point Arithmetic.
+-------------------------------------------------------------------------------
+*/
+static float64 roundAndPackFloat64( flag zSign, int16 zExp, bits64 zSig )
+{
+ int8 roundingMode;
+ flag roundNearestEven;
+ int16 roundIncrement, roundBits;
+ flag isTiny;
+
+ roundingMode = float_rounding_mode;
+ roundNearestEven = ( roundingMode == float_round_nearest_even );
+ roundIncrement = 0x200;
+ if ( ! roundNearestEven ) {
+ if ( roundingMode == float_round_to_zero ) {
+ roundIncrement = 0;
+ }
+ else {
+ roundIncrement = 0x3FF;
+ if ( zSign ) {
+ if ( roundingMode == float_round_up ) roundIncrement = 0;
+ }
+ else {
+ if ( roundingMode == float_round_down ) roundIncrement = 0;
+ }
+ }
+ }
+ roundBits = zSig & 0x3FF;
+ if ( 0x7FD <= (bits16) zExp ) {
+ if ( ( 0x7FD < zExp )
+ || ( ( zExp == 0x7FD )
+ && ( (sbits64) ( zSig + roundIncrement ) < 0 ) )
+ ) {
+ //register int lr = __builtin_return_address(0);
+ //printk("roundAndPackFloat64 called from 0x%08x\n",lr);
+ float_raise( float_flag_overflow | float_flag_inexact );
+ return packFloat64( zSign, 0x7FF, 0 ) - ( roundIncrement == 0 );
+ }
+ if ( zExp < 0 ) {
+ isTiny =
+ ( float_detect_tininess == float_tininess_before_rounding )
+ || ( zExp < -1 )
+ || ( zSig + roundIncrement < LIT64( 0x8000000000000000 ) );
+ shift64RightJamming( zSig, - zExp, &zSig );
+ zExp = 0;
+ roundBits = zSig & 0x3FF;
+ if ( isTiny && roundBits ) float_raise( float_flag_underflow );
+ }
+ }
+ if ( roundBits ) float_exception_flags |= float_flag_inexact;
+ zSig = ( zSig + roundIncrement )>>10;
+ zSig &= ~ ( ( ( roundBits ^ 0x200 ) == 0 ) & roundNearestEven );
+ if ( zSig == 0 ) zExp = 0;
+ return packFloat64( zSign, zExp, zSig );
+
+}
+
+/*
+-------------------------------------------------------------------------------
+Takes an abstract floating-point value having sign `zSign', exponent `zExp',
+and significand `zSig', and returns the proper double-precision floating-
+point value corresponding to the abstract input. This routine is just like
+`roundAndPackFloat64' except that `zSig' does not have to be normalized in
+any way. In all cases, `zExp' must be 1 less than the ``true'' floating-
+point exponent.
+-------------------------------------------------------------------------------
+*/
+static float64
+ normalizeRoundAndPackFloat64( flag zSign, int16 zExp, bits64 zSig )
+{
+ int8 shiftCount;
+
+ shiftCount = countLeadingZeros64( zSig ) - 1;
+ return roundAndPackFloat64( zSign, zExp - shiftCount, zSig<<shiftCount );
+
+}
+
+#ifdef FLOATX80
+
+/*
+-------------------------------------------------------------------------------
+Returns the fraction bits of the extended double-precision floating-point
+value `a'.
+-------------------------------------------------------------------------------
+*/
+INLINE bits64 extractFloatx80Frac( floatx80 a )
+{
+
+ return a.low;
+
+}
+
+/*
+-------------------------------------------------------------------------------
+Returns the exponent bits of the extended double-precision floating-point
+value `a'.
+-------------------------------------------------------------------------------
+*/
+INLINE int32 extractFloatx80Exp( floatx80 a )
+{
+
+ return a.high & 0x7FFF;
+
+}
+
+/*
+-------------------------------------------------------------------------------
+Returns the sign bit of the extended double-precision floating-point value
+`a'.
+-------------------------------------------------------------------------------
+*/
+INLINE flag extractFloatx80Sign( floatx80 a )
+{
+
+ return a.high>>15;
+
+}
+
+/*
+-------------------------------------------------------------------------------
+Normalizes the subnormal extended double-precision floating-point value
+represented by the denormalized significand `aSig'. The normalized exponent
+and significand are stored at the locations pointed to by `zExpPtr' and
+`zSigPtr', respectively.
+-------------------------------------------------------------------------------
+*/
+static void
+ normalizeFloatx80Subnormal( bits64 aSig, int32 *zExpPtr, bits64 *zSigPtr )
+{
+ int8 shiftCount;
+
+ shiftCount = countLeadingZeros64( aSig );
+ *zSigPtr = aSig<<shiftCount;
+ *zExpPtr = 1 - shiftCount;
+
+}
+
+/*
+-------------------------------------------------------------------------------
+Packs the sign `zSign', exponent `zExp', and significand `zSig' into an
+extended double-precision floating-point value, returning the result.
+-------------------------------------------------------------------------------
+*/
+INLINE floatx80 packFloatx80( flag zSign, int32 zExp, bits64 zSig )
+{
+ floatx80 z;
+
+ z.low = zSig;
+ z.high = ( ( (bits16) zSign )<<15 ) + zExp;
+ return z;
+
+}
+
+/*
+-------------------------------------------------------------------------------
+Takes an abstract floating-point value having sign `zSign', exponent `zExp',
+and extended significand formed by the concatenation of `zSig0' and `zSig1',
+and returns the proper extended double-precision floating-point value
+corresponding to the abstract input. Ordinarily, the abstract value is
+rounded and packed into the extended double-precision format, with the
+inexact exception raised if the abstract input cannot be represented
+exactly. If the abstract value is too large, however, the overflow and
+inexact exceptions are raised and an infinity or maximal finite value is
+returned. If the abstract value is too small, the input value is rounded to
+a subnormal number, and the underflow and inexact exceptions are raised if
+the abstract input cannot be represented exactly as a subnormal extended
+double-precision floating-point number.
+ If `roundingPrecision' is 32 or 64, the result is rounded to the same
+number of bits as single or double precision, respectively. Otherwise, the
+result is rounded to the full precision of the extended double-precision
+format.
+ The input significand must be normalized or smaller. If the input
+significand is not normalized, `zExp' must be 0; in that case, the result
+returned is a subnormal number, and it must not require rounding. The
+handling of underflow and overflow follows the IEC/IEEE Standard for Binary
+Floating-point Arithmetic.
+-------------------------------------------------------------------------------
+*/
+static floatx80
+ roundAndPackFloatx80(
+ int8 roundingPrecision, flag zSign, int32 zExp, bits64 zSig0, bits64 zSig1
+ )
+{
+ int8 roundingMode;
+ flag roundNearestEven, increment, isTiny;
+ int64 roundIncrement, roundMask, roundBits;
+
+ roundingMode = float_rounding_mode;
+ roundNearestEven = ( roundingMode == float_round_nearest_even );
+ if ( roundingPrecision == 80 ) goto precision80;
+ if ( roundingPrecision == 64 ) {
+ roundIncrement = LIT64( 0x0000000000000400 );
+ roundMask = LIT64( 0x00000000000007FF );
+ }
+ else if ( roundingPrecision == 32 ) {
+ roundIncrement = LIT64( 0x0000008000000000 );
+ roundMask = LIT64( 0x000000FFFFFFFFFF );
+ }
+ else {
+ goto precision80;
+ }
+ zSig0 |= ( zSig1 != 0 );
+ if ( ! roundNearestEven ) {
+ if ( roundingMode == float_round_to_zero ) {
+ roundIncrement = 0;
+ }
+ else {
+ roundIncrement = roundMask;
+ if ( zSign ) {
+ if ( roundingMode == float_round_up ) roundIncrement = 0;
+ }
+ else {
+ if ( roundingMode == float_round_down ) roundIncrement = 0;
+ }
+ }
+ }
+ roundBits = zSig0 & roundMask;
+ if ( 0x7FFD <= (bits32) ( zExp - 1 ) ) {
+ if ( ( 0x7FFE < zExp )
+ || ( ( zExp == 0x7FFE ) && ( zSig0 + roundIncrement < zSig0 ) )
+ ) {
+ goto overflow;
+ }
+ if ( zExp <= 0 ) {
+ isTiny =
+ ( float_detect_tininess == float_tininess_before_rounding )
+ || ( zExp < 0 )
+ || ( zSig0 <= zSig0 + roundIncrement );
+ shift64RightJamming( zSig0, 1 - zExp, &zSig0 );
+ zExp = 0;
+ roundBits = zSig0 & roundMask;
+ if ( isTiny && roundBits ) float_raise( float_flag_underflow );
+ if ( roundBits ) float_exception_flags |= float_flag_inexact;
+ zSig0 += roundIncrement;
+ if ( (sbits64) zSig0 < 0 ) zExp = 1;
+ roundIncrement = roundMask + 1;
+ if ( roundNearestEven && ( roundBits<<1 == roundIncrement ) ) {
+ roundMask |= roundIncrement;
+ }
+ zSig0 &= ~ roundMask;
+ return packFloatx80( zSign, zExp, zSig0 );
+ }
+ }
+ if ( roundBits ) float_exception_flags |= float_flag_inexact;
+ zSig0 += roundIncrement;
+ if ( zSig0 < roundIncrement ) {
+ ++zExp;
+ zSig0 = LIT64( 0x8000000000000000 );
+ }
+ roundIncrement = roundMask + 1;
+ if ( roundNearestEven && ( roundBits<<1 == roundIncrement ) ) {
+ roundMask |= roundIncrement;
+ }
+ zSig0 &= ~ roundMask;
+ if ( zSig0 == 0 ) zExp = 0;
+ return packFloatx80( zSign, zExp, zSig0 );
+ precision80:
+ increment = ( (sbits64) zSig1 < 0 );
+ if ( ! roundNearestEven ) {
+ if ( roundingMode == float_round_to_zero ) {
+ increment = 0;
+ }
+ else {
+ if ( zSign ) {
+ increment = ( roundingMode == float_round_down ) && zSig1;
+ }
+ else {
+ increment = ( roundingMode == float_round_up ) && zSig1;
+ }
+ }
+ }
+ if ( 0x7FFD <= (bits32) ( zExp - 1 ) ) {
+ if ( ( 0x7FFE < zExp )
+ || ( ( zExp == 0x7FFE )
+ && ( zSig0 == LIT64( 0xFFFFFFFFFFFFFFFF ) )
+ && increment
+ )
+ ) {
+ roundMask = 0;
+ overflow:
+ float_raise( float_flag_overflow | float_flag_inexact );
+ if ( ( roundingMode == float_round_to_zero )
+ || ( zSign && ( roundingMode == float_round_up ) )
+ || ( ! zSign && ( roundingMode == float_round_down ) )
+ ) {
+ return packFloatx80( zSign, 0x7FFE, ~ roundMask );
+ }
+ return packFloatx80( zSign, 0x7FFF, LIT64( 0x8000000000000000 ) );
+ }
+ if ( zExp <= 0 ) {
+ isTiny =
+ ( float_detect_tininess == float_tininess_before_rounding )
+ || ( zExp < 0 )
+ || ! increment
+ || ( zSig0 < LIT64( 0xFFFFFFFFFFFFFFFF ) );
+ shift64ExtraRightJamming( zSig0, zSig1, 1 - zExp, &zSig0, &zSig1 );
+ zExp = 0;
+ if ( isTiny && zSig1 ) float_raise( float_flag_underflow );
+ if ( zSig1 ) float_exception_flags |= float_flag_inexact;
+ if ( roundNearestEven ) {
+ increment = ( (sbits64) zSig1 < 0 );
+ }
+ else {
+ if ( zSign ) {
+ increment = ( roundingMode == float_round_down ) && zSig1;
+ }
+ else {
+ increment = ( roundingMode == float_round_up ) && zSig1;
+ }
+ }
+ if ( increment ) {
+ ++zSig0;
+ zSig0 &= ~ ( ( zSig1 + zSig1 == 0 ) & roundNearestEven );
+ if ( (sbits64) zSig0 < 0 ) zExp = 1;
+ }
+ return packFloatx80( zSign, zExp, zSig0 );
+ }
+ }
+ if ( zSig1 ) float_exception_flags |= float_flag_inexact;
+ if ( increment ) {
+ ++zSig0;
+ if ( zSig0 == 0 ) {
+ ++zExp;
+ zSig0 = LIT64( 0x8000000000000000 );
+ }
+ else {
+ zSig0 &= ~ ( ( zSig1 + zSig1 == 0 ) & roundNearestEven );
+ }
+ }
+ else {
+ if ( zSig0 == 0 ) zExp = 0;
+ }
+
+ return packFloatx80( zSign, zExp, zSig0 );
+}
+
+/*
+-------------------------------------------------------------------------------
+Takes an abstract floating-point value having sign `zSign', exponent
+`zExp', and significand formed by the concatenation of `zSig0' and `zSig1',
+and returns the proper extended double-precision floating-point value
+corresponding to the abstract input. This routine is just like
+`roundAndPackFloatx80' except that the input significand does not have to be
+normalized.
+-------------------------------------------------------------------------------
+*/
+static floatx80
+ normalizeRoundAndPackFloatx80(
+ int8 roundingPrecision, flag zSign, int32 zExp, bits64 zSig0, bits64 zSig1
+ )
+{
+ int8 shiftCount;
+
+ if ( zSig0 == 0 ) {
+ zSig0 = zSig1;
+ zSig1 = 0;
+ zExp -= 64;
+ }
+ shiftCount = countLeadingZeros64( zSig0 );
+ shortShift128Left( zSig0, zSig1, shiftCount, &zSig0, &zSig1 );
+ zExp -= shiftCount;
+ return
+ roundAndPackFloatx80( roundingPrecision, zSign, zExp, zSig0, zSig1 );
+
+}
+
+#endif
+
+/*
+-------------------------------------------------------------------------------
+Returns the result of converting the 32-bit two's complement integer `a' to
+the single-precision floating-point format. The conversion is performed
+according to the IEC/IEEE Standard for Binary Floating-point Arithmetic.
+-------------------------------------------------------------------------------
+*/
+float32 int32_to_float32( int32 a )
+{
+ flag zSign;
+
+ if ( a == 0 ) return 0;
+ if ( a == 0x80000000 ) return packFloat32( 1, 0x9E, 0 );
+ zSign = ( a < 0 );
+ return normalizeRoundAndPackFloat32( zSign, 0x9C, zSign ? - a : a );
+
+}
+
+/*
+-------------------------------------------------------------------------------
+Returns the result of converting the 32-bit two's complement integer `a' to
+the double-precision floating-point format. The conversion is performed
+according to the IEC/IEEE Standard for Binary Floating-point Arithmetic.
+-------------------------------------------------------------------------------
+*/
+float64 int32_to_float64( int32 a )
+{
+ flag aSign;
+ uint32 absA;
+ int8 shiftCount;
+ bits64 zSig;
+
+ if ( a == 0 ) return 0;
+ aSign = ( a < 0 );
+ absA = aSign ? - a : a;
+ shiftCount = countLeadingZeros32( absA ) + 21;
+ zSig = absA;
+ return packFloat64( aSign, 0x432 - shiftCount, zSig<<shiftCount );
+
+}
+
+#ifdef FLOATX80
+
+/*
+-------------------------------------------------------------------------------
+Returns the result of converting the 32-bit two's complement integer `a'
+to the extended double-precision floating-point format. The conversion
+is performed according to the IEC/IEEE Standard for Binary Floating-point
+Arithmetic.
+-------------------------------------------------------------------------------
+*/
+floatx80 int32_to_floatx80( int32 a )
+{
+ flag zSign;
+ uint32 absA;
+ int8 shiftCount;
+ bits64 zSig;
+
+ if ( a == 0 ) return packFloatx80( 0, 0, 0 );
+ zSign = ( a < 0 );
+ absA = zSign ? - a : a;
+ shiftCount = countLeadingZeros32( absA ) + 32;
+ zSig = absA;
+ return packFloatx80( zSign, 0x403E - shiftCount, zSig<<shiftCount );
+
+}
+
+#endif
+
+/*
+-------------------------------------------------------------------------------
+Returns the result of converting the single-precision floating-point value
+`a' to the 32-bit two's complement integer format. The conversion is
+performed according to the IEC/IEEE Standard for Binary Floating-point
+Arithmetic---which means in particular that the conversion is rounded
+according to the current rounding mode. If `a' is a NaN, the largest
+positive integer is returned. Otherwise, if the conversion overflows, the
+largest integer with the same sign as `a' is returned.
+-------------------------------------------------------------------------------
+*/
+int32 float32_to_int32( float32 a )
+{
+ flag aSign;
+ int16 aExp, shiftCount;
+ bits32 aSig;
+ bits64 zSig;
+
+ aSig = extractFloat32Frac( a );
+ aExp = extractFloat32Exp( a );
+ aSign = extractFloat32Sign( a );
+ if ( ( aExp == 0x7FF ) && aSig ) aSign = 0;
+ if ( aExp ) aSig |= 0x00800000;
+ shiftCount = 0xAF - aExp;
+ zSig = aSig;
+ zSig <<= 32;
+ if ( 0 < shiftCount ) shift64RightJamming( zSig, shiftCount, &zSig );
+ return roundAndPackInt32( aSign, zSig );
+
+}
+
+/*
+-------------------------------------------------------------------------------
+Returns the result of converting the single-precision floating-point value
+`a' to the 32-bit two's complement integer format. The conversion is
+performed according to the IEC/IEEE Standard for Binary Floating-point
+Arithmetic, except that the conversion is always rounded toward zero. If
+`a' is a NaN, the largest positive integer is returned. Otherwise, if the
+conversion overflows, the largest integer with the same sign as `a' is
+returned.
+-------------------------------------------------------------------------------
+*/
+int32 float32_to_int32_round_to_zero( float32 a )
+{
+ flag aSign;
+ int16 aExp, shiftCount;
+ bits32 aSig;
+ int32 z;
+
+ aSig = extractFloat32Frac( a );
+ aExp = extractFloat32Exp( a );
+ aSign = extractFloat32Sign( a );
+ shiftCount = aExp - 0x9E;
+ if ( 0 <= shiftCount ) {
+ if ( a == 0xCF000000 ) return 0x80000000;
+ float_raise( float_flag_invalid );
+ if ( ! aSign || ( ( aExp == 0xFF ) && aSig ) ) return 0x7FFFFFFF;
+ return 0x80000000;
+ }
+ else if ( aExp <= 0x7E ) {
+ if ( aExp | aSig ) float_exception_flags |= float_flag_inexact;
+ return 0;
+ }
+ aSig = ( aSig | 0x00800000 )<<8;
+ z = aSig>>( - shiftCount );
+ if ( (bits32) ( aSig<<( shiftCount & 31 ) ) ) {
+ float_exception_flags |= float_flag_inexact;
+ }
+ return aSign ? - z : z;
+
+}
+
+/*
+-------------------------------------------------------------------------------
+Returns the result of converting the single-precision floating-point value
+`a' to the double-precision floating-point format. The conversion is
+performed according to the IEC/IEEE Standard for Binary Floating-point
+Arithmetic.
+-------------------------------------------------------------------------------
+*/
+float64 float32_to_float64( float32 a )
+{
+ flag aSign;
+ int16 aExp;
+ bits32 aSig;
+
+ aSig = extractFloat32Frac( a );
+ aExp = extractFloat32Exp( a );
+ aSign = extractFloat32Sign( a );
+ if ( aExp == 0xFF ) {
+ if ( aSig ) return commonNaNToFloat64( float32ToCommonNaN( a ) );
+ return packFloat64( aSign, 0x7FF, 0 );
+ }
+ if ( aExp == 0 ) {
+ if ( aSig == 0 ) return packFloat64( aSign, 0, 0 );
+ normalizeFloat32Subnormal( aSig, &aExp, &aSig );
+ --aExp;
+ }
+ return packFloat64( aSign, aExp + 0x380, ( (bits64) aSig )<<29 );
+
+}
+
+#ifdef FLOATX80
+
+/*
+-------------------------------------------------------------------------------
+Returns the result of converting the single-precision floating-point value
+`a' to the extended double-precision floating-point format. The conversion
+is performed according to the IEC/IEEE Standard for Binary Floating-point
+Arithmetic.
+-------------------------------------------------------------------------------
+*/
+floatx80 float32_to_floatx80( float32 a )
+{
+ flag aSign;
+ int16 aExp;
+ bits32 aSig;
+
+ aSig = extractFloat32Frac( a );
+ aExp = extractFloat32Exp( a );
+ aSign = extractFloat32Sign( a );
+ if ( aExp == 0xFF ) {
+ if ( aSig ) return commonNaNToFloatx80( float32ToCommonNaN( a ) );
+ return packFloatx80( aSign, 0x7FFF, LIT64( 0x8000000000000000 ) );
+ }
+ if ( aExp == 0 ) {
+ if ( aSig == 0 ) return packFloatx80( aSign, 0, 0 );
+ normalizeFloat32Subnormal( aSig, &aExp, &aSig );
+ }
+ aSig |= 0x00800000;
+ return packFloatx80( aSign, aExp + 0x3F80, ( (bits64) aSig )<<40 );
+
+}
+
+#endif
+
+/*
+-------------------------------------------------------------------------------
+Rounds the single-precision floating-point value `a' to an integer, and
+returns the result as a single-precision floating-point value. The
+operation is performed according to the