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Diffstat (limited to 'contrib/compiler-rt/lib/truncdfsf2.c')
-rw-r--r-- | contrib/compiler-rt/lib/truncdfsf2.c | 167 |
1 files changed, 167 insertions, 0 deletions
diff --git a/contrib/compiler-rt/lib/truncdfsf2.c b/contrib/compiler-rt/lib/truncdfsf2.c new file mode 100644 index 0000000..d289cb9 --- /dev/null +++ b/contrib/compiler-rt/lib/truncdfsf2.c @@ -0,0 +1,167 @@ +//===-- lib/truncdfsf2.c - double -> single conversion ------------*- C -*-===// +// +// The LLVM Compiler Infrastructure +// +// This file is distributed under the University of Illinois Open Source +// License. See LICENSE.TXT for details. +// +//===----------------------------------------------------------------------===// +// +// This file implements a fairly generic conversion from a wider to a narrower +// IEEE-754 floating-point type in the default (round to nearest, ties to even) +// rounding mode. The constants and types defined following the includes below +// parameterize the conversion. +// +// This routine can be trivially adapted to support conversions to +// half-precision or from quad-precision. It does not support types that don't +// use the usual IEEE-754 interchange formats; specifically, some work would be +// needed to adapt it to (for example) the Intel 80-bit format or PowerPC +// double-double format. +// +// Note please, however, that this implementation is only intended to support +// *narrowing* operations; if you need to convert to a *wider* floating-point +// type (e.g. float -> double), then this routine will not do what you want it +// to. +// +// It also requires that integer types at least as large as both formats +// are available on the target platform; this may pose a problem when trying +// to add support for quad on some 32-bit systems, for example. +// +// Finally, the following assumptions are made: +// +// 1. floating-point types and integer types have the same endianness on the +// target platform +// +// 2. quiet NaNs, if supported, are indicated by the leading bit of the +// significand field being set +// +//===----------------------------------------------------------------------===// + +#include <stdint.h> +#include <limits.h> +#include <stdbool.h> + +typedef double src_t; +typedef uint64_t src_rep_t; +#define SRC_REP_C UINT64_C +static const int srcSigBits = 52; + +typedef float dst_t; +typedef uint32_t dst_rep_t; +#define DST_REP_C UINT32_C +static const int dstSigBits = 23; + +// End of specialization parameters. Two helper routines for conversion to and +// from the representation of floating-point data as integer values follow. + +static inline src_rep_t srcToRep(src_t x) { + const union { src_t f; src_rep_t i; } rep = {.f = x}; + return rep.i; +} + +static inline dst_t dstFromRep(dst_rep_t x) { + const union { dst_t f; dst_rep_t i; } rep = {.i = x}; + return rep.f; +} + +// End helper routines. Conversion implementation follows. + +dst_t __truncdfsf2(src_t a) { + + // Various constants whose values follow from the type parameters. + // Any reasonable optimizer will fold and propagate all of these. + const int srcBits = sizeof(src_t)*CHAR_BIT; + const int srcExpBits = srcBits - srcSigBits - 1; + const int srcInfExp = (1 << srcExpBits) - 1; + const int srcExpBias = srcInfExp >> 1; + + const src_rep_t srcMinNormal = SRC_REP_C(1) << srcSigBits; + const src_rep_t significandMask = srcMinNormal - 1; + const src_rep_t srcInfinity = (src_rep_t)srcInfExp << srcSigBits; + const src_rep_t srcSignMask = SRC_REP_C(1) << (srcSigBits + srcExpBits); + const src_rep_t srcAbsMask = srcSignMask - 1; + const src_rep_t roundMask = (SRC_REP_C(1) << (srcSigBits - dstSigBits)) - 1; + const src_rep_t halfway = SRC_REP_C(1) << (srcSigBits - dstSigBits - 1); + + const int dstBits = sizeof(dst_t)*CHAR_BIT; + const int dstExpBits = dstBits - dstSigBits - 1; + const int dstInfExp = (1 << dstExpBits) - 1; + const int dstExpBias = dstInfExp >> 1; + + const int underflowExponent = srcExpBias + 1 - dstExpBias; + const int overflowExponent = srcExpBias + dstInfExp - dstExpBias; + const src_rep_t underflow = (src_rep_t)underflowExponent << srcSigBits; + const src_rep_t overflow = (src_rep_t)overflowExponent << srcSigBits; + + const dst_rep_t dstQNaN = DST_REP_C(1) << (dstSigBits - 1); + const dst_rep_t dstNaNCode = dstQNaN - 1; + + // Break a into a sign and representation of the absolute value + const src_rep_t aRep = srcToRep(a); + const src_rep_t aAbs = aRep & srcAbsMask; + const src_rep_t sign = aRep & srcSignMask; + dst_rep_t absResult; + + if (aAbs - underflow < aAbs - overflow) { + // The exponent of a is within the range of normal numbers in the + // destination format. We can convert by simply right-shifting with + // rounding and adjusting the exponent. + absResult = aAbs >> (srcSigBits - dstSigBits); + absResult -= (dst_rep_t)(srcExpBias - dstExpBias) << dstSigBits; + + const src_rep_t roundBits = aAbs & roundMask; + + // Round to nearest + if (roundBits > halfway) + absResult++; + + // Ties to even + else if (roundBits == halfway) + absResult += absResult & 1; + } + + else if (aAbs > srcInfinity) { + // a is NaN. + // Conjure the result by beginning with infinity, setting the qNaN + // bit and inserting the (truncated) trailing NaN field. + absResult = (dst_rep_t)dstInfExp << dstSigBits; + absResult |= dstQNaN; + absResult |= aAbs & dstNaNCode; + } + + else if (aAbs > overflow) { + // a overflows to infinity. + absResult = (dst_rep_t)dstInfExp << dstSigBits; + } + + else { + // a underflows on conversion to the destination type or is an exact + // zero. The result may be a denormal or zero. Extract the exponent + // to get the shift amount for the denormalization. + const int aExp = aAbs >> srcSigBits; + const int shift = srcExpBias - dstExpBias - aExp + 1; + + const src_rep_t significand = (aRep & significandMask) | srcMinNormal; + + // Right shift by the denormalization amount with sticky. + if (shift > srcSigBits) { + absResult = 0; + } else { + const bool sticky = significand << (srcBits - shift); + src_rep_t denormalizedSignificand = significand >> shift | sticky; + absResult = denormalizedSignificand >> (srcSigBits - dstSigBits); + const src_rep_t roundBits = denormalizedSignificand & roundMask; + // Round to nearest + if (roundBits > halfway) + absResult++; + // Ties to even + else if (roundBits == halfway) + absResult += absResult & 1; + } + } + + // Apply the signbit to (dst_t)abs(a). + const dst_rep_t result = absResult | sign >> (srcBits - dstBits); + return dstFromRep(result); + +} |