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+//===-- 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);
+
+}