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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"
+
+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 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 sizeof(src_rep_t) < sizeof(int), the subtraction result is promoted
+ // to (signed) int. To avoid that, explicitly cast to src_rep_t.
+ if ((src_rep_t)(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 |= (dst_rep_t)(aAbs & srcNaNCode) << (dstSigBits - srcSigBits);
+ }
+
+ 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 the absolute value.
+ const dst_rep_t result = absResult | (dst_rep_t)sign << (dstBits - srcBits);
+ return dstFromRep(result);
+}