598 lines
24 KiB
C
Executable File
598 lines
24 KiB
C
Executable File
/*============================================================================
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This C source fragment is part of the SoftFloat IEC/IEEE Floating-point
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Arithmetic Package, Release 2b.
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Written by John R. Hauser. This work was made possible in part by the
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International Computer Science Institute, located at Suite 600, 1947 Center
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Street, Berkeley, California 94704. Funding was partially provided by the
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National Science Foundation under grant MIP-9311980. The original version
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of this code was written as part of a project to build a fixed-point vector
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processor in collaboration with the University of California at Berkeley,
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overseen by Profs. Nelson Morgan and John Wawrzynek. More information
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is available through the Web page `http://www.cs.berkeley.edu/~jhauser/
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arithmetic/SoftFloat.html'.
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THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE. Although reasonable effort has
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been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT TIMES
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RESULT IN INCORRECT BEHAVIOR. USE OF THIS SOFTWARE IS RESTRICTED TO PERSONS
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AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ALL LOSSES,
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COSTS, OR OTHER PROBLEMS THEY INCUR DUE TO THE SOFTWARE, AND WHO FURTHERMORE
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EFFECTIVELY INDEMNIFY JOHN HAUSER AND THE INTERNATIONAL COMPUTER SCIENCE
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INSTITUTE (possibly via similar legal warning) AGAINST ALL LOSSES, COSTS, OR
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OTHER PROBLEMS INCURRED BY THEIR CUSTOMERS AND CLIENTS DUE TO THE SOFTWARE.
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Derivative works are acceptable, even for commercial purposes, so long as
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(1) the source code for the derivative work includes prominent notice that
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the work is derivative, and (2) the source code includes prominent notice with
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these four paragraphs for those parts of this code that are retained.
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=============================================================================*/
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#ifndef _SOFTFLOAT_SPECIALIZE_H_
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#define _SOFTFLOAT_SPECIALIZE_H_
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/*============================================================================
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* Adapted for Bochs (x86 achitecture simulator) by
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* Stanislav Shwartsman (gate at fidonet.org.il)
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* ==========================================================================*/
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#define int16_indefinite ((Bit16s)0x8000)
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#define int32_indefinite ((Bit32s)0x80000000)
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#define int64_indefinite BX_CONST64(0x8000000000000000)
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/*----------------------------------------------------------------------------
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| Internal canonical NaN format.
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*----------------------------------------------------------------------------*/
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typedef struct {
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int sign;
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Bit64u hi, lo;
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} commonNaNT;
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/*----------------------------------------------------------------------------
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| The pattern for a default generated single-precision NaN.
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*----------------------------------------------------------------------------*/
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#define float32_default_nan 0xFFC00000
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#define float32_fraction extractFloat32Frac
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#define float32_exp extractFloat32Exp
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#define float32_sign extractFloat32Sign
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/*----------------------------------------------------------------------------
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| Returns the fraction bits of the single-precision floating-point value `a'.
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*----------------------------------------------------------------------------*/
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BX_CPP_INLINE Bit32u extractFloat32Frac(float32 a)
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{
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return a & 0x007FFFFF;
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}
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/*----------------------------------------------------------------------------
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| Returns the exponent bits of the single-precision floating-point value `a'.
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*----------------------------------------------------------------------------*/
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BX_CPP_INLINE Bit16s extractFloat32Exp(float32 a)
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{
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return (a>>23) & 0xFF;
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}
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/*----------------------------------------------------------------------------
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| Returns the sign bit of the single-precision floating-point value `a'.
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*----------------------------------------------------------------------------*/
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BX_CPP_INLINE int extractFloat32Sign(float32 a)
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{
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return a>>31;
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}
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/*----------------------------------------------------------------------------
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| Packs the sign `zSign', exponent `zExp', and significand `zSig' into a
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| single-precision floating-point value, returning the result. After being
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| shifted into the proper positions, the three fields are simply added
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| together to form the result. This means that any integer portion of `zSig'
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| will be added into the exponent. Since a properly normalized significand
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| will have an integer portion equal to 1, the `zExp' input should be 1 less
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| than the desired result exponent whenever `zSig' is a complete, normalized
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| significand.
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*----------------------------------------------------------------------------*/
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BX_CPP_INLINE float32 packFloat32(int zSign, Bit16s zExp, Bit32u zSig)
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{
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return (((Bit32u) zSign)<<31) + (((Bit32u) zExp)<<23) + zSig;
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}
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/*----------------------------------------------------------------------------
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| Returns 1 if the single-precision floating-point value `a' is a NaN;
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| otherwise returns 0.
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*----------------------------------------------------------------------------*/
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BX_CPP_INLINE int float32_is_nan(float32 a)
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{
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return (0xFF000000 < (Bit32u) (a<<1));
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}
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/*----------------------------------------------------------------------------
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| Returns 1 if the single-precision floating-point value `a' is a signaling
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| NaN; otherwise returns 0.
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*----------------------------------------------------------------------------*/
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BX_CPP_INLINE int float32_is_signaling_nan(float32 a)
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{
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return (((a>>22) & 0x1FF) == 0x1FE) && (a & 0x003FFFFF);
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}
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/*----------------------------------------------------------------------------
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| Returns the result of converting the single-precision floating-point NaN
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| `a' to the canonical NaN format. If `a' is a signaling NaN, the invalid
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| exception is raised.
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*----------------------------------------------------------------------------*/
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BX_CPP_INLINE commonNaNT float32ToCommonNaN(float32 a, float_status_t &status)
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{
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commonNaNT z;
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if (float32_is_signaling_nan(a)) float_raise(status, float_flag_invalid);
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z.sign = a>>31;
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z.lo = 0;
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z.hi = ((Bit64u) a)<<41;
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return z;
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}
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/*----------------------------------------------------------------------------
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| Returns the result of converting the canonical NaN `a' to the single-
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| precision floating-point format.
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*----------------------------------------------------------------------------*/
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BX_CPP_INLINE float32 commonNaNToFloat32(commonNaNT a)
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{
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return (((Bit32u) a.sign)<<31) | 0x7FC00000 | (Bit32u)(a.hi>>41);
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}
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/*----------------------------------------------------------------------------
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| Takes two single-precision floating-point values `a' and `b', one of which
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| is a NaN, and returns the appropriate NaN result. If either `a' or `b' is a
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| signaling NaN, the invalid exception is raised.
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*----------------------------------------------------------------------------*/
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float32 propagateFloat32NaN(float32 a, float32 b, float_status_t &status);
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/*----------------------------------------------------------------------------
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| Takes single-precision floating-point NaN `a' and returns the appropriate
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| NaN result. If `a' is a signaling NaN, the invalid exception is raised.
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*----------------------------------------------------------------------------*/
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BX_CPP_INLINE float32 propagateFloat32NaN(float32 a, float_status_t &status)
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{
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if (float32_is_signaling_nan(a))
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float_raise(status, float_flag_invalid);
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return a | 0x00400000;
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}
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/*----------------------------------------------------------------------------
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| The pattern for a default generated double-precision NaN.
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*----------------------------------------------------------------------------*/
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#define float64_default_nan BX_CONST64(0xFFF8000000000000)
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#define float64_fraction extractFloat64Frac
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#define float64_exp extractFloat64Exp
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#define float64_sign extractFloat64Sign
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/*----------------------------------------------------------------------------
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| Returns the fraction bits of the double-precision floating-point value `a'.
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*----------------------------------------------------------------------------*/
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BX_CPP_INLINE Bit64u extractFloat64Frac(float64 a)
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{
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return a & BX_CONST64(0x000FFFFFFFFFFFFF);
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}
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/*----------------------------------------------------------------------------
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| Returns the exponent bits of the double-precision floating-point value `a'.
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*----------------------------------------------------------------------------*/
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BX_CPP_INLINE Bit16s extractFloat64Exp(float64 a)
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{
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return (Bit16s)(a>>52) & 0x7FF;
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}
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/*----------------------------------------------------------------------------
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| Returns the sign bit of the double-precision floating-point value `a'.
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*----------------------------------------------------------------------------*/
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BX_CPP_INLINE int extractFloat64Sign(float64 a)
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{
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return (int)(a>>63);
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}
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/*----------------------------------------------------------------------------
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| Packs the sign `zSign', exponent `zExp', and significand `zSig' into a
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| double-precision floating-point value, returning the result. After being
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| shifted into the proper positions, the three fields are simply added
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| together to form the result. This means that any integer portion of `zSig'
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| will be added into the exponent. Since a properly normalized significand
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| will have an integer portion equal to 1, the `zExp' input should be 1 less
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| than the desired result exponent whenever `zSig' is a complete, normalized
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| significand.
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*----------------------------------------------------------------------------*/
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BX_CPP_INLINE float64 packFloat64(int zSign, Bit16s zExp, Bit64u zSig)
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{
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return (((Bit64u) zSign)<<63) + (((Bit64u) zExp)<<52) + zSig;
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}
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/*----------------------------------------------------------------------------
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| Returns 1 if the double-precision floating-point value `a' is a NaN;
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| otherwise returns 0.
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*----------------------------------------------------------------------------*/
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BX_CPP_INLINE int float64_is_nan(float64 a)
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{
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return (BX_CONST64(0xFFE0000000000000) < (Bit64u) (a<<1));
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}
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/*----------------------------------------------------------------------------
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| Returns 1 if the double-precision floating-point value `a' is a signaling
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| NaN; otherwise returns 0.
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*----------------------------------------------------------------------------*/
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BX_CPP_INLINE int float64_is_signaling_nan(float64 a)
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{
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return (((a>>51) & 0xFFF) == 0xFFE) && (a & BX_CONST64(0x0007FFFFFFFFFFFF));
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}
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/*----------------------------------------------------------------------------
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| Returns the result of converting the double-precision floating-point NaN
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| `a' to the canonical NaN format. If `a' is a signaling NaN, the invalid
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| exception is raised.
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*----------------------------------------------------------------------------*/
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BX_CPP_INLINE commonNaNT float64ToCommonNaN(float64 a, float_status_t &status)
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{
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commonNaNT z;
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if (float64_is_signaling_nan(a)) float_raise(status, float_flag_invalid);
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z.sign = (int)(a>>63);
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z.lo = 0;
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z.hi = a<<12;
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return z;
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}
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/*----------------------------------------------------------------------------
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| Returns the result of converting the canonical NaN `a' to the double-
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| precision floating-point format.
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*----------------------------------------------------------------------------*/
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BX_CPP_INLINE float64 commonNaNToFloat64(commonNaNT a)
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{
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return (((Bit64u) a.sign)<<63) | BX_CONST64(0x7FF8000000000000) | (a.hi>>12);
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}
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/*----------------------------------------------------------------------------
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| Takes two double-precision floating-point values `a' and `b', one of which
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| is a NaN, and returns the appropriate NaN result. If either `a' or `b' is a
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| signaling NaN, the invalid exception is raised.
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*----------------------------------------------------------------------------*/
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float64 propagateFloat64NaN(float64 a, float64 b, float_status_t &status);
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/*----------------------------------------------------------------------------
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| Takes double-precision floating-point NaN `a' and returns the appropriate
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| NaN result. If `a' is a signaling NaN, the invalid exception is raised.
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*----------------------------------------------------------------------------*/
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BX_CPP_INLINE float64 propagateFloat64NaN(float64 a, float_status_t &status)
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{
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if (float64_is_signaling_nan(a))
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float_raise(status, float_flag_invalid);
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return a | BX_CONST64(0x0008000000000000);
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}
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#ifdef FLOATX80
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/*----------------------------------------------------------------------------
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| The pattern for a default generated extended double-precision NaN. The
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| `high' and `low' values hold the most- and least-significant bits,
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| respectively.
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*----------------------------------------------------------------------------*/
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#define floatx80_default_nan_exp 0xFFFF
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#define floatx80_default_nan_fraction BX_CONST64(0xC000000000000000)
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#define floatx80_fraction extractFloatx80Frac
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#define floatx80_exp extractFloatx80Exp
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#define floatx80_sign extractFloatx80Sign
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#define EXP_BIAS 0x3FFF
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/*----------------------------------------------------------------------------
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| Returns the fraction bits of the extended double-precision floating-point
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| value `a'.
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*----------------------------------------------------------------------------*/
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BX_CPP_INLINE Bit64u extractFloatx80Frac(floatx80 a)
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{
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return a.fraction;
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}
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/*----------------------------------------------------------------------------
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| Returns the exponent bits of the extended double-precision floating-point
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| value `a'.
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*----------------------------------------------------------------------------*/
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BX_CPP_INLINE Bit32s extractFloatx80Exp(floatx80 a)
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{
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return a.exp & 0x7FFF;
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}
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/*----------------------------------------------------------------------------
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| Returns the sign bit of the extended double-precision floating-point value
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| `a'.
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*----------------------------------------------------------------------------*/
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BX_CPP_INLINE int extractFloatx80Sign(floatx80 a)
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{
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return a.exp>>15;
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}
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/*----------------------------------------------------------------------------
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| Packs the sign `zSign', exponent `zExp', and significand `zSig' into an
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| extended double-precision floating-point value, returning the result.
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*----------------------------------------------------------------------------*/
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BX_CPP_INLINE floatx80 packFloatx80(int zSign, Bit32s zExp, Bit64u zSig)
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{
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floatx80 z;
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z.fraction = zSig;
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z.exp = (zSign << 15) + zExp;
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return z;
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}
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/*----------------------------------------------------------------------------
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| Returns 1 if the extended double-precision floating-point value `a' is a
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| NaN; otherwise returns 0.
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*----------------------------------------------------------------------------*/
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BX_CPP_INLINE int floatx80_is_nan(floatx80 a)
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{
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return ((a.exp & 0x7FFF) == 0x7FFF) && (Bit64s) (a.fraction<<1);
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}
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/*----------------------------------------------------------------------------
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| Returns 1 if the extended double-precision floating-point value `a' is a
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| signaling NaN; otherwise returns 0.
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*----------------------------------------------------------------------------*/
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BX_CPP_INLINE int floatx80_is_signaling_nan(floatx80 a)
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{
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Bit64u aLow = a.fraction & ~BX_CONST64(0x4000000000000000);
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return ((a.exp & 0x7FFF) == 0x7FFF) &&
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((Bit64u) (aLow<<1)) && (a.fraction == aLow);
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}
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/*----------------------------------------------------------------------------
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| Returns 1 if the extended double-precision floating-point value `a' is an
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| unsupported; otherwise returns 0.
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*----------------------------------------------------------------------------*/
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BX_CPP_INLINE int floatx80_is_unsupported(floatx80 a)
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{
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return ((a.exp & 0x7FFF) && !(a.fraction & BX_CONST64(0x8000000000000000)));
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}
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/*----------------------------------------------------------------------------
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| Returns the result of converting the extended double-precision floating-
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| point NaN `a' to the canonical NaN format. If `a' is a signaling NaN, the
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| invalid exception is raised.
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*----------------------------------------------------------------------------*/
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BX_CPP_INLINE commonNaNT floatx80ToCommonNaN(floatx80 a, float_status_t &status)
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{
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commonNaNT z;
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if (floatx80_is_signaling_nan(a)) float_raise(status, float_flag_invalid);
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z.sign = a.exp >> 15;
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z.lo = 0;
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z.hi = a.fraction << 1;
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return z;
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}
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/*----------------------------------------------------------------------------
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| Returns the result of converting the canonical NaN `a' to the extended
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| double-precision floating-point format.
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*----------------------------------------------------------------------------*/
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BX_CPP_INLINE floatx80 commonNaNToFloatx80(commonNaNT a)
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{
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floatx80 z;
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z.fraction = BX_CONST64(0xC000000000000000) | (a.hi>>1);
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z.exp = (((Bit16u) a.sign)<<15) | 0x7FFF;
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return z;
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}
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/*----------------------------------------------------------------------------
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| Takes two extended double-precision floating-point values `a' and `b', one
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| of which is a NaN, and returns the appropriate NaN result. If either `a' or
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| `b' is a signaling NaN, the invalid exception is raised.
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*----------------------------------------------------------------------------*/
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floatx80 propagateFloatx80NaN(floatx80 a, floatx80 b, float_status_t &status);
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/*----------------------------------------------------------------------------
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| Takes extended double-precision floating-point NaN `a' and returns the
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| appropriate NaN result. If `a' is a signaling NaN, the invalid exception
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| is raised.
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*----------------------------------------------------------------------------*/
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BX_CPP_INLINE floatx80 propagateFloatx80NaN(floatx80 a, float_status_t &status)
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{
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if (floatx80_is_signaling_nan(a))
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float_raise(status, float_flag_invalid);
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a.fraction |= BX_CONST64(0xC000000000000000);
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return a;
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}
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/*----------------------------------------------------------------------------
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| The pattern for a default generated extended double-precision NaN.
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*----------------------------------------------------------------------------*/
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extern const floatx80 floatx80_default_nan;
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#endif /* FLOATX80 */
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#ifdef FLOAT128
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#include "softfloat-macros.h"
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/*----------------------------------------------------------------------------
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| The pattern for a default generated quadruple-precision NaN. The `high' and
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| `low' values hold the most- and least-significant bits, respectively.
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*----------------------------------------------------------------------------*/
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#define float128_default_nan_hi BX_CONST64(0xFFFF800000000000)
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#define float128_default_nan_lo BX_CONST64(0x0000000000000000)
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#define float128_exp extractFloat128Exp
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/*----------------------------------------------------------------------------
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| Returns the least-significant 64 fraction bits of the quadruple-precision
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| floating-point value `a'.
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*----------------------------------------------------------------------------*/
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BX_CPP_INLINE Bit64u extractFloat128Frac1(float128 a)
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{
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return a.lo;
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}
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/*----------------------------------------------------------------------------
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| Returns the most-significant 48 fraction bits of the quadruple-precision
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| floating-point value `a'.
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*----------------------------------------------------------------------------*/
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BX_CPP_INLINE Bit64u extractFloat128Frac0(float128 a)
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{
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return a.hi & BX_CONST64(0x0000FFFFFFFFFFFF);
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}
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/*----------------------------------------------------------------------------
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| Returns the exponent bits of the quadruple-precision floating-point value
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| `a'.
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*----------------------------------------------------------------------------*/
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BX_CPP_INLINE Bit32s extractFloat128Exp(float128 a)
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{
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return ((Bit32s)(a.hi>>48)) & 0x7FFF;
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}
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/*----------------------------------------------------------------------------
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| Returns the sign bit of the quadruple-precision floating-point value `a'.
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*----------------------------------------------------------------------------*/
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BX_CPP_INLINE int extractFloat128Sign(float128 a)
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{
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return (int)(a.hi >> 63);
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}
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/*----------------------------------------------------------------------------
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| Packs the sign `zSign', the exponent `zExp', and the significand formed
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| by the concatenation of `zSig0' and `zSig1' into a quadruple-precision
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| floating-point value, returning the result. After being shifted into the
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| proper positions, the three fields `zSign', `zExp', and `zSig0' are simply
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| added together to form the most significant 32 bits of the result. This
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| means that any integer portion of `zSig0' will be added into the exponent.
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| Since a properly normalized significand will have an integer portion equal
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| to 1, the `zExp' input should be 1 less than the desired result exponent
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| whenever `zSig0' and `zSig1' concatenated form a complete, normalized
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| significand.
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*----------------------------------------------------------------------------*/
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BX_CPP_INLINE float128 packFloat128(int zSign, Bit32s zExp, Bit64u zSig0, Bit64u zSig1)
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{
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float128 z;
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z.lo = zSig1;
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z.hi = (((Bit64u) zSign)<<63) + (((Bit64u) zExp)<<48) + zSig0;
|
|
return z;
|
|
}
|
|
|
|
/*----------------------------------------------------------------------------
|
|
| Packs two 64-bit precision integers into into the quadruple-precision
|
|
| floating-point value, returning the result.
|
|
*----------------------------------------------------------------------------*/
|
|
|
|
BX_CPP_INLINE float128 packFloat128(Bit64u zHi, Bit64u zLo)
|
|
{
|
|
float128 z;
|
|
z.lo = zLo;
|
|
z.hi = zHi;
|
|
return z;
|
|
}
|
|
|
|
#ifdef _MSC_VER
|
|
#define PACK_FLOAT_128(hi,lo) { lo, hi }
|
|
#else
|
|
#define PACK_FLOAT_128(hi,lo) packFloat128(BX_CONST64(hi),BX_CONST64(lo))
|
|
#endif
|
|
|
|
/*----------------------------------------------------------------------------
|
|
| Returns 1 if the quadruple-precision floating-point value `a' is a NaN;
|
|
| otherwise returns 0.
|
|
*----------------------------------------------------------------------------*/
|
|
|
|
BX_CPP_INLINE int float128_is_nan(float128 a)
|
|
{
|
|
return (BX_CONST64(0xFFFE000000000000) <= (Bit64u) (a.hi<<1))
|
|
&& (a.lo || (a.hi & BX_CONST64(0x0000FFFFFFFFFFFF)));
|
|
}
|
|
|
|
/*----------------------------------------------------------------------------
|
|
| Returns 1 if the quadruple-precision floating-point value `a' is a
|
|
| signaling NaN; otherwise returns 0.
|
|
*----------------------------------------------------------------------------*/
|
|
|
|
BX_CPP_INLINE int float128_is_signaling_nan(float128 a)
|
|
{
|
|
return (((a.hi>>47) & 0xFFFF) == 0xFFFE)
|
|
&& (a.lo || (a.hi & BX_CONST64(0x00007FFFFFFFFFFF)));
|
|
}
|
|
|
|
/*----------------------------------------------------------------------------
|
|
| Returns the result of converting the quadruple-precision floating-point NaN
|
|
| `a' to the canonical NaN format. If `a' is a signaling NaN, the invalid
|
|
| exception is raised.
|
|
*----------------------------------------------------------------------------*/
|
|
|
|
BX_CPP_INLINE commonNaNT float128ToCommonNaN(float128 a, float_status_t &status)
|
|
{
|
|
commonNaNT z;
|
|
if (float128_is_signaling_nan(a)) float_raise(status, float_flag_invalid);
|
|
z.sign = (int)(a.hi>>63);
|
|
shortShift128Left(a.hi, a.lo, 16, &z.hi, &z.lo);
|
|
return z;
|
|
}
|
|
|
|
/*----------------------------------------------------------------------------
|
|
| Returns the result of converting the canonical NaN `a' to the quadruple-
|
|
| precision floating-point format.
|
|
*----------------------------------------------------------------------------*/
|
|
|
|
BX_CPP_INLINE float128 commonNaNToFloat128(commonNaNT a)
|
|
{
|
|
float128 z;
|
|
shift128Right(a.hi, a.lo, 16, &z.hi, &z.lo);
|
|
z.hi |= (((Bit64u) a.sign)<<63) | BX_CONST64(0x7FFF800000000000);
|
|
return z;
|
|
}
|
|
|
|
/*----------------------------------------------------------------------------
|
|
| Takes two quadruple-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.
|
|
*----------------------------------------------------------------------------*/
|
|
|
|
float128 propagateFloat128NaN(float128 a, float128 b, float_status_t &status);
|
|
|
|
/*----------------------------------------------------------------------------
|
|
| The pattern for a default generated quadruple-precision NaN.
|
|
*----------------------------------------------------------------------------*/
|
|
extern const float128 float128_default_nan;
|
|
|
|
#endif /* FLOAT128 */
|
|
|
|
#endif
|