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+//===-- lib/extendsfdf2.c - single -> double 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 narrower to a wider
+// IEEE-754 floating-point type. The constants and types defined following the
+// includes below parameterize the conversion.
+//
+// This routine can be trivially adapted to support conversions from
+// half-precision or to 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
+// *widening* operations; if you need to convert to a *narrower* floating-point
+// type (e.g. double -> float), 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. You also may
+// run into trouble finding an appropriate CLZ function for wide source types;
+// you will likely need to roll your own on some platforms.
+//
+// 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>
+
+typedef float src_t;
+typedef uint32_t src_rep_t;
+#define SRC_REP_C UINT32_C
+static const int srcSigBits = 23;
+#define src_rep_t_clz __builtin_clz
+
+typedef double dst_t;
+typedef uint64_t dst_rep_t;
+#define DST_REP_C UINT64_C
+static const int dstSigBits = 52;
+
+// 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 __extendsfdf2(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 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 srcQNaN = SRC_REP_C(1) << (srcSigBits - 1);
+ const src_rep_t srcNaNCode = srcQNaN - 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 dst_rep_t dstMinNormal = DST_REP_C(1) << dstSigBits;
+
+ // 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 - srcMinNormal < srcInfinity - srcMinNormal) {
+ // a is a normal number.
+ // Extend to the destination type by shifting the significand and
+ // exponent into the proper position and rebiasing the exponent.
+ absResult = (dst_rep_t)aAbs << (dstSigBits - srcSigBits);
+ absResult += (dst_rep_t)(dstExpBias - srcExpBias) << dstSigBits;
+ }
+
+ else if (aAbs >= srcInfinity) {
+ // a is NaN or infinity.
+ // Conjure the result by beginning with infinity, then setting the qNaN
+ // bit (if needed) and right-aligning the rest of the trailing NaN
+ // payload field.
+ absResult = (dst_rep_t)dstInfExp << dstSigBits;
+ absResult |= (dst_rep_t)(aAbs & srcQNaN) << (dstSigBits - srcSigBits);
+ absResult |= aAbs & srcNaNCode;
+ }
+
+ else if (aAbs) {
+ // a is denormal.
+ // renormalize the significand and clear the leading bit, then insert
+ // the correct adjusted exponent in the destination type.
+ const int scale = src_rep_t_clz(aAbs) - src_rep_t_clz(srcMinNormal);
+ absResult = (dst_rep_t)aAbs << (dstSigBits - srcSigBits + scale);
+ absResult ^= dstMinNormal;
+ const int resultExponent = dstExpBias - srcExpBias - scale + 1;
+ absResult |= (dst_rep_t)resultExponent << dstSigBits;
+ }
+
+ else {
+ // a is zero.
+ absResult = 0;
+ }
+
+ // Apply the signbit to (dst_t)abs(a).
+ const dst_rep_t result = absResult | (dst_rep_t)sign << (dstBits - srcBits);
+ return dstFromRep(result);
+}
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