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+//=-lib/fp_extend_impl.inc - low precision -> high precision conversion -*-- -//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+//
+// 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.
+//
+// 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 "fp_extend.h"
+
+// The source type may use a usual IEEE-754 interchange format or Intel 80-bit
+// format. In particular, for the source type srcSigFracBits may be not equal to
+// srcSigBits. The destination type is assumed to be one of IEEE-754 standard
+// types.
+static __inline dst_t __extendXfYf2__(src_t a) {
+ // Various constants whose values follow from the type parameters.
+ // Any reasonable optimizer will fold and propagate all of these.
+ const int srcInfExp = (1 << srcExpBits) - 1;
+ const int srcExpBias = srcInfExp >> 1;
+
+ const int dstInfExp = (1 << dstExpBits) - 1;
+ const int dstExpBias = dstInfExp >> 1;
+
+ // Break a into a sign and representation of the absolute value.
+ const src_rep_t aRep = srcToRep(a);
+ const src_rep_t srcSign = extract_sign_from_src(aRep);
+ const src_rep_t srcExp = extract_exp_from_src(aRep);
+ const src_rep_t srcSigFrac = extract_sig_frac_from_src(aRep);
+
+ dst_rep_t dstSign = srcSign;
+ dst_rep_t dstExp;
+ dst_rep_t dstSigFrac;
+
+ if (srcExp >= 1 && srcExp < (src_rep_t)srcInfExp) {
+ // a is a normal number.
+ dstExp = (dst_rep_t)srcExp + (dst_rep_t)(dstExpBias - srcExpBias);
+ dstSigFrac = (dst_rep_t)srcSigFrac << (dstSigFracBits - srcSigFracBits);
+ }
+
+ else if (srcExp == srcInfExp) {
+ // a is NaN or infinity.
+ dstExp = dstInfExp;
+ dstSigFrac = (dst_rep_t)srcSigFrac << (dstSigFracBits - srcSigFracBits);
+ }
+
+ else if (srcSigFrac) {
+ // a is denormal.
+ if (srcExpBits == dstExpBits) {
+ // The exponent fields are identical and this is a denormal number, so all
+ // the non-significand bits are zero. In particular, this branch is always
+ // taken when we extend a denormal F80 to F128.
+ dstExp = 0;
+ dstSigFrac = ((dst_rep_t)srcSigFrac) << (dstSigFracBits - srcSigFracBits);
+ } else {
+#ifndef src_rep_t_clz
+ // If src_rep_t_clz is not defined this branch must be unreachable.
+ __builtin_unreachable();
+#else
+ // Renormalize the significand and clear the leading bit.
+ // For F80 -> F128 this codepath is unused.
+ const int scale = clz_in_sig_frac(srcSigFrac) + 1;
+ dstExp = dstExpBias - srcExpBias - scale + 1;
+ dstSigFrac = (dst_rep_t)srcSigFrac
+ << (dstSigFracBits - srcSigFracBits + scale);
+ const dst_rep_t dstMinNormal = DST_REP_C(1) << (dstBits - 1 - dstExpBits);
+ dstSigFrac ^= dstMinNormal;
+#endif
+ }
+ }
+
+ else {
+ // a is zero.
+ dstExp = 0;
+ dstSigFrac = 0;
+ }
+
+ const dst_rep_t result = construct_dst_rep(dstSign, dstExp, dstSigFrac);
+ return dstFromRep(result);
+}