Adding upstream version 6.6.15.upstream/6.6.15

Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>

1 files changed, 930 insertions, 0 deletions

diff --git a/arch/sh/kernel/cpu/sh4/softfloat.c b/arch/sh/kernel/cpu/sh4/softfloat.c
new file mode 100644
index 0000000000..42edf2e54e
--- /dev/null
+++ b/arch/sh/kernel/cpu/sh4/softfloat.c
@@ -0,0 +1,930 @@
+/*
+ * Floating point emulation support for subnormalised numbers on SH4
+ * architecture This file is derived from the SoftFloat IEC/IEEE
+ * Floating-point Arithmetic Package, Release 2 the original license of
+ * which is reproduced below.
+ *
+ * ========================================================================
+ *
+ * This C source file is part of the SoftFloat IEC/IEEE Floating-point
+ * Arithmetic Package, Release 2.
+ *
+ * Written by John R. Hauser.  This work was made possible in part by the
+ * International Computer Science Institute, located at Suite 600, 1947 Center
+ * Street, Berkeley, California 94704.  Funding was partially provided by the
+ * National Science Foundation under grant MIP-9311980.  The original version
+ * of this code was written as part of a project to build a fixed-point vector
+ * processor in collaboration with the University of California at Berkeley,
+ * overseen by Profs. Nelson Morgan and John Wawrzynek.  More information
+ * is available through the web page `http://HTTP.CS.Berkeley.EDU/~jhauser/
+ * arithmetic/softfloat.html'.
+ *
+ * THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE.  Although reasonable effort
+ * has been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT
+ * TIMES RESULT IN INCORRECT BEHAVIOR.  USE OF THIS SOFTWARE IS RESTRICTED TO
+ * PERSONS AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ANY
+ * AND ALL LOSSES, COSTS, OR OTHER PROBLEMS ARISING FROM ITS USE.
+ *
+ * Derivative works are acceptable, even for commercial purposes, so long as
+ * (1) they include prominent notice that the work is derivative, and (2) they
+ * include prominent notice akin to these three paragraphs for those parts of
+ * this code that are retained.
+ *
+ * ========================================================================
+ *
+ * SH4 modifications by Ismail Dhaoui <ismail.dhaoui@st.com>
+ * and Kamel Khelifi <kamel.khelifi@st.com>
+ */
+#include <linux/kernel.h>
+#include <cpu/fpu.h>
+#include <asm/div64.h>
+
+#define LIT64( a ) a##LL
+
+typedef char flag;
+typedef unsigned char uint8;
+typedef signed char int8;
+typedef int uint16;
+typedef int int16;
+typedef unsigned int uint32;
+typedef signed int int32;
+
+typedef unsigned long long int bits64;
+typedef signed long long int sbits64;
+
+typedef unsigned char bits8;
+typedef signed char sbits8;
+typedef unsigned short int bits16;
+typedef signed short int sbits16;
+typedef unsigned int bits32;
+typedef signed int sbits32;
+
+typedef unsigned long long int uint64;
+typedef signed long long int int64;
+
+typedef unsigned long int float32;
+typedef unsigned long long float64;
+
+extern void float_raise(unsigned int flags);	/* in fpu.c */
+extern int float_rounding_mode(void);	/* in fpu.c */
+
+bits64 extractFloat64Frac(float64 a);
+flag extractFloat64Sign(float64 a);
+int16 extractFloat64Exp(float64 a);
+int16 extractFloat32Exp(float32 a);
+flag extractFloat32Sign(float32 a);
+bits32 extractFloat32Frac(float32 a);
+float64 packFloat64(flag zSign, int16 zExp, bits64 zSig);
+void shift64RightJamming(bits64 a, int16 count, bits64 * zPtr);
+float32 packFloat32(flag zSign, int16 zExp, bits32 zSig);
+void shift32RightJamming(bits32 a, int16 count, bits32 * zPtr);
+float64 float64_sub(float64 a, float64 b);
+float32 float32_sub(float32 a, float32 b);
+float32 float32_add(float32 a, float32 b);
+float64 float64_add(float64 a, float64 b);
+float64 float64_div(float64 a, float64 b);
+float32 float32_div(float32 a, float32 b);
+float32 float32_mul(float32 a, float32 b);
+float64 float64_mul(float64 a, float64 b);
+float32 float64_to_float32(float64 a);
+void add128(bits64 a0, bits64 a1, bits64 b0, bits64 b1, bits64 * z0Ptr,
+		   bits64 * z1Ptr);
+void sub128(bits64 a0, bits64 a1, bits64 b0, bits64 b1, bits64 * z0Ptr,
+		   bits64 * z1Ptr);
+void mul64To128(bits64 a, bits64 b, bits64 * z0Ptr, bits64 * z1Ptr);
+
+static int8 countLeadingZeros32(bits32 a);
+static int8 countLeadingZeros64(bits64 a);
+static float64 normalizeRoundAndPackFloat64(flag zSign, int16 zExp,
+					    bits64 zSig);
+static float64 subFloat64Sigs(float64 a, float64 b, flag zSign);
+static float64 addFloat64Sigs(float64 a, float64 b, flag zSign);
+static float32 roundAndPackFloat32(flag zSign, int16 zExp, bits32 zSig);
+static float32 normalizeRoundAndPackFloat32(flag zSign, int16 zExp,
+					    bits32 zSig);
+static float64 roundAndPackFloat64(flag zSign, int16 zExp, bits64 zSig);
+static float32 subFloat32Sigs(float32 a, float32 b, flag zSign);
+static float32 addFloat32Sigs(float32 a, float32 b, flag zSign);
+static void normalizeFloat64Subnormal(bits64 aSig, int16 * zExpPtr,
+				      bits64 * zSigPtr);
+static bits64 estimateDiv128To64(bits64 a0, bits64 a1, bits64 b);
+static void normalizeFloat32Subnormal(bits32 aSig, int16 * zExpPtr,
+				      bits32 * zSigPtr);
+
+bits64 extractFloat64Frac(float64 a)
+{
+	return a & LIT64(0x000FFFFFFFFFFFFF);
+}
+
+flag extractFloat64Sign(float64 a)
+{
+	return a >> 63;
+}
+
+int16 extractFloat64Exp(float64 a)
+{
+	return (a >> 52) & 0x7FF;
+}
+
+int16 extractFloat32Exp(float32 a)
+{
+	return (a >> 23) & 0xFF;
+}
+
+flag extractFloat32Sign(float32 a)
+{
+	return a >> 31;
+}
+
+bits32 extractFloat32Frac(float32 a)
+{
+	return a & 0x007FFFFF;
+}
+
+float64 packFloat64(flag zSign, int16 zExp, bits64 zSig)
+{
+	return (((bits64) zSign) << 63) + (((bits64) zExp) << 52) + zSig;
+}
+
+void shift64RightJamming(bits64 a, int16 count, bits64 * zPtr)
+{
+	bits64 z;
+
+	if (count == 0) {
+		z = a;
+	} else if (count < 64) {
+		z = (a >> count) | ((a << ((-count) & 63)) != 0);
+	} else {
+		z = (a != 0);
+	}
+	*zPtr = z;
+}
+
+static int8 countLeadingZeros32(bits32 a)
+{
+	static const int8 countLeadingZerosHigh[] = {
+		8, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4,
+		3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3,
+		2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+		2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+		1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
+		1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
+		1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
+		1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
+		0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+		0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+		0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+		0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+		0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+		0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+		0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+		0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
+	};
+	int8 shiftCount;
+
+	shiftCount = 0;
+	if (a < 0x10000) {
+		shiftCount += 16;
+		a <<= 16;
+	}
+	if (a < 0x1000000) {
+		shiftCount += 8;
+		a <<= 8;
+	}
+	shiftCount += countLeadingZerosHigh[a >> 24];
+	return shiftCount;
+
+}
+
+static int8 countLeadingZeros64(bits64 a)
+{
+	int8 shiftCount;
+
+	shiftCount = 0;
+	if (a < ((bits64) 1) << 32) {
+		shiftCount += 32;
+	} else {
+		a >>= 32;
+	}
+	shiftCount += countLeadingZeros32(a);
+	return shiftCount;
+
+}
+
+static float64 normalizeRoundAndPackFloat64(flag zSign, int16 zExp, bits64 zSig)
+{
+	int8 shiftCount;
+
+	shiftCount = countLeadingZeros64(zSig) - 1;
+	return roundAndPackFloat64(zSign, zExp - shiftCount,
+				   zSig << shiftCount);
+
+}
+
+static float64 subFloat64Sigs(float64 a, float64 b, flag zSign)
+{
+	int16 aExp, bExp, zExp;
+	bits64 aSig, bSig, zSig;
+	int16 expDiff;
+
+	aSig = extractFloat64Frac(a);
+	aExp = extractFloat64Exp(a);
+	bSig = extractFloat64Frac(b);
+	bExp = extractFloat64Exp(b);
+	expDiff = aExp - bExp;
+	aSig <<= 10;
+	bSig <<= 10;
+	if (0 < expDiff)
+		goto aExpBigger;
+	if (expDiff < 0)
+		goto bExpBigger;
+	if (aExp == 0) {
+		aExp = 1;
+		bExp = 1;
+	}
+	if (bSig < aSig)
+		goto aBigger;
+	if (aSig < bSig)
+		goto bBigger;
+	return packFloat64(float_rounding_mode() == FPSCR_RM_ZERO, 0, 0);
+      bExpBigger:
+	if (bExp == 0x7FF) {
+		return packFloat64(zSign ^ 1, 0x7FF, 0);
+	}
+	if (aExp == 0) {
+		++expDiff;
+	} else {
+		aSig |= LIT64(0x4000000000000000);
+	}
+	shift64RightJamming(aSig, -expDiff, &aSig);
+	bSig |= LIT64(0x4000000000000000);
+      bBigger:
+	zSig = bSig - aSig;
+	zExp = bExp;
+	zSign ^= 1;
+	goto normalizeRoundAndPack;
+      aExpBigger:
+	if (aExp == 0x7FF) {
+		return a;
+	}
+	if (bExp == 0) {
+		--expDiff;
+	} else {
+		bSig |= LIT64(0x4000000000000000);
+	}
+	shift64RightJamming(bSig, expDiff, &bSig);
+	aSig |= LIT64(0x4000000000000000);
+      aBigger:
+	zSig = aSig - bSig;
+	zExp = aExp;
+      normalizeRoundAndPack:
+	--zExp;
+	return normalizeRoundAndPackFloat64(zSign, zExp, zSig);
+
+}
+static float64 addFloat64Sigs(float64 a, float64 b, flag zSign)
+{
+	int16 aExp, bExp, zExp;
+	bits64 aSig, bSig, zSig;
+	int16 expDiff;
+
+	aSig = extractFloat64Frac(a);
+	aExp = extractFloat64Exp(a);
+	bSig = extractFloat64Frac(b);
+	bExp = extractFloat64Exp(b);
+	expDiff = aExp - bExp;
+	aSig <<= 9;
+	bSig <<= 9;
+	if (0 < expDiff) {
+		if (aExp == 0x7FF) {
+			return a;
+		}
+		if (bExp == 0) {
+			--expDiff;
+		} else {
+			bSig |= LIT64(0x2000000000000000);
+		}
+		shift64RightJamming(bSig, expDiff, &bSig);
+		zExp = aExp;
+	} else if (expDiff < 0) {
+		if (bExp == 0x7FF) {
+			return packFloat64(zSign, 0x7FF, 0);
+		}
+		if (aExp == 0) {
+			++expDiff;
+		} else {
+			aSig |= LIT64(0x2000000000000000);
+		}
+		shift64RightJamming(aSig, -expDiff, &aSig);
+		zExp = bExp;
+	} else {
+		if (aExp == 0x7FF) {
+			return a;
+		}
+		if (aExp == 0)
+			return packFloat64(zSign, 0, (aSig + bSig) >> 9);
+		zSig = LIT64(0x4000000000000000) + aSig + bSig;
+		zExp = aExp;
+		goto roundAndPack;
+	}
+	aSig |= LIT64(0x2000000000000000);
+	zSig = (aSig + bSig) << 1;
+	--zExp;
+	if ((sbits64) zSig < 0) {
+		zSig = aSig + bSig;
+		++zExp;
+	}
+      roundAndPack:
+	return roundAndPackFloat64(zSign, zExp, zSig);
+
+}
+
+float32 packFloat32(flag zSign, int16 zExp, bits32 zSig)
+{
+	return (((bits32) zSign) << 31) + (((bits32) zExp) << 23) + zSig;
+}
+
+void shift32RightJamming(bits32 a, int16 count, bits32 * zPtr)
+{
+	bits32 z;
+	if (count == 0) {
+		z = a;
+	} else if (count < 32) {
+		z = (a >> count) | ((a << ((-count) & 31)) != 0);
+	} else {
+		z = (a != 0);
+	}
+	*zPtr = z;
+}
+
+static float32 roundAndPackFloat32(flag zSign, int16 zExp, bits32 zSig)
+{
+	flag roundNearestEven;
+	int8 roundIncrement, roundBits;
+	flag isTiny;
+
+	/* SH4 has only 2 rounding modes - round to nearest and round to zero */
+	roundNearestEven = (float_rounding_mode() == FPSCR_RM_NEAREST);
+	roundIncrement = 0x40;
+	if (!roundNearestEven) {
+		roundIncrement = 0;
+	}
+	roundBits = zSig & 0x7F;
+	if (0xFD <= (bits16) zExp) {
+		if ((0xFD < zExp)
+		    || ((zExp == 0xFD)
+			&& ((sbits32) (zSig + roundIncrement) < 0))
+		    ) {
+			float_raise(FPSCR_CAUSE_OVERFLOW | FPSCR_CAUSE_INEXACT);
+			return packFloat32(zSign, 0xFF,
+					   0) - (roundIncrement == 0);
+		}
+		if (zExp < 0) {
+			isTiny = (zExp < -1)
+			    || (zSig + roundIncrement < 0x80000000);
+			shift32RightJamming(zSig, -zExp, &zSig);
+			zExp = 0;
+			roundBits = zSig & 0x7F;
+			if (isTiny && roundBits)
+				float_raise(FPSCR_CAUSE_UNDERFLOW);
+		}
+	}
+	if (roundBits)
+		float_raise(FPSCR_CAUSE_INEXACT);
+	zSig = (zSig + roundIncrement) >> 7;
+	zSig &= ~(((roundBits ^ 0x40) == 0) & roundNearestEven);
+	if (zSig == 0)
+		zExp = 0;
+	return packFloat32(zSign, zExp, zSig);
+
+}
+
+static float32 normalizeRoundAndPackFloat32(flag zSign, int16 zExp, bits32 zSig)
+{
+	int8 shiftCount;
+
+	shiftCount = countLeadingZeros32(zSig) - 1;
+	return roundAndPackFloat32(zSign, zExp - shiftCount,
+				   zSig << shiftCount);
+}
+
+static float64 roundAndPackFloat64(flag zSign, int16 zExp, bits64 zSig)
+{
+	flag roundNearestEven;
+	int16 roundIncrement, roundBits;
+	flag isTiny;
+
+	/* SH4 has only 2 rounding modes - round to nearest and round to zero */
+	roundNearestEven = (float_rounding_mode() == FPSCR_RM_NEAREST);
+	roundIncrement = 0x200;
+	if (!roundNearestEven) {
+		roundIncrement = 0;
+	}
+	roundBits = zSig & 0x3FF;
+	if (0x7FD <= (bits16) zExp) {
+		if ((0x7FD < zExp)
+		    || ((zExp == 0x7FD)
+			&& ((sbits64) (zSig + roundIncrement) < 0))
+		    ) {
+			float_raise(FPSCR_CAUSE_OVERFLOW | FPSCR_CAUSE_INEXACT);
+			return packFloat64(zSign, 0x7FF,
+					   0) - (roundIncrement == 0);
+		}
+		if (zExp < 0) {
+			isTiny = (zExp < -1)
+			    || (zSig + roundIncrement <
+				LIT64(0x8000000000000000));
+			shift64RightJamming(zSig, -zExp, &zSig);
+			zExp = 0;
+			roundBits = zSig & 0x3FF;
+			if (isTiny && roundBits)
+				float_raise(FPSCR_CAUSE_UNDERFLOW);
+		}
+	}
+	if (roundBits)
+		float_raise(FPSCR_CAUSE_INEXACT);
+	zSig = (zSig + roundIncrement) >> 10;
+	zSig &= ~(((roundBits ^ 0x200) == 0) & roundNearestEven);
+	if (zSig == 0)
+		zExp = 0;
+	return packFloat64(zSign, zExp, zSig);
+
+}
+
+static float32 subFloat32Sigs(float32 a, float32 b, flag zSign)
+{
+	int16 aExp, bExp, zExp;
+	bits32 aSig, bSig, zSig;
+	int16 expDiff;
+
+	aSig = extractFloat32Frac(a);
+	aExp = extractFloat32Exp(a);
+	bSig = extractFloat32Frac(b);
+	bExp = extractFloat32Exp(b);
+	expDiff = aExp - bExp;
+	aSig <<= 7;
+	bSig <<= 7;
+	if (0 < expDiff)
+		goto aExpBigger;
+	if (expDiff < 0)
+		goto bExpBigger;
+	if (aExp == 0) {
+		aExp = 1;
+		bExp = 1;
+	}
+	if (bSig < aSig)
+		goto aBigger;
+	if (aSig < bSig)
+		goto bBigger;
+	return packFloat32(float_rounding_mode() == FPSCR_RM_ZERO, 0, 0);
+      bExpBigger:
+	if (bExp == 0xFF) {
+		return packFloat32(zSign ^ 1, 0xFF, 0);
+	}
+	if (aExp == 0) {
+		++expDiff;
+	} else {
+		aSig |= 0x40000000;
+	}
+	shift32RightJamming(aSig, -expDiff, &aSig);
+	bSig |= 0x40000000;
+      bBigger:
+	zSig = bSig - aSig;
+	zExp = bExp;
+	zSign ^= 1;
+	goto normalizeRoundAndPack;
+      aExpBigger:
+	if (aExp == 0xFF) {
+		return a;
+	}
+	if (bExp == 0) {
+		--expDiff;
+	} else {
+		bSig |= 0x40000000;
+	}
+	shift32RightJamming(bSig, expDiff, &bSig);
+	aSig |= 0x40000000;
+      aBigger:
+	zSig = aSig - bSig;
+	zExp = aExp;
+      normalizeRoundAndPack:
+	--zExp;
+	return normalizeRoundAndPackFloat32(zSign, zExp, zSig);
+
+}
+
+static float32 addFloat32Sigs(float32 a, float32 b, flag zSign)
+{
+	int16 aExp, bExp, zExp;
+	bits32 aSig, bSig, zSig;
+	int16 expDiff;
+
+	aSig = extractFloat32Frac(a);
+	aExp = extractFloat32Exp(a);
+	bSig = extractFloat32Frac(b);
+	bExp = extractFloat32Exp(b);
+	expDiff = aExp - bExp;
+	aSig <<= 6;
+	bSig <<= 6;
+	if (0 < expDiff) {
+		if (aExp == 0xFF) {
+			return a;
+		}
+		if (bExp == 0) {
+			--expDiff;
+		} else {
+			bSig |= 0x20000000;
+		}
+		shift32RightJamming(bSig, expDiff, &bSig);
+		zExp = aExp;
+	} else if (expDiff < 0) {
+		if (bExp == 0xFF) {
+			return packFloat32(zSign, 0xFF, 0);
+		}
+		if (aExp == 0) {
+			++expDiff;
+		} else {
+			aSig |= 0x20000000;
+		}
+		shift32RightJamming(aSig, -expDiff, &aSig);
+		zExp = bExp;
+	} else {
+		if (aExp == 0xFF) {
+			return a;
+		}
+		if (aExp == 0)
+			return packFloat32(zSign, 0, (aSig + bSig) >> 6);
+		zSig = 0x40000000 + aSig + bSig;
+		zExp = aExp;
+		goto roundAndPack;
+	}
+	aSig |= 0x20000000;
+	zSig = (aSig + bSig) << 1;
+	--zExp;
+	if ((sbits32) zSig < 0) {
+		zSig = aSig + bSig;
+		++zExp;
+	}
+      roundAndPack:
+	return roundAndPackFloat32(zSign, zExp, zSig);
+
+}
+
+float64 float64_sub(float64 a, float64 b)
+{
+	flag aSign, bSign;
+
+	aSign = extractFloat64Sign(a);
+	bSign = extractFloat64Sign(b);
+	if (aSign == bSign) {
+		return subFloat64Sigs(a, b, aSign);
+	} else {
+		return addFloat64Sigs(a, b, aSign);
+	}
+
+}
+
+float32 float32_sub(float32 a, float32 b)
+{
+	flag aSign, bSign;
+
+	aSign = extractFloat32Sign(a);
+	bSign = extractFloat32Sign(b);
+	if (aSign == bSign) {
+		return subFloat32Sigs(a, b, aSign);
+	} else {
+		return addFloat32Sigs(a, b, aSign);
+	}
+
+}
+
+float32 float32_add(float32 a, float32 b)
+{
+	flag aSign, bSign;
+
+	aSign = extractFloat32Sign(a);
+	bSign = extractFloat32Sign(b);
+	if (aSign == bSign) {
+		return addFloat32Sigs(a, b, aSign);
+	} else {
+		return subFloat32Sigs(a, b, aSign);
+	}
+
+}
+
+float64 float64_add(float64 a, float64 b)
+{
+	flag aSign, bSign;
+
+	aSign = extractFloat64Sign(a);
+	bSign = extractFloat64Sign(b);
+	if (aSign == bSign) {
+		return addFloat64Sigs(a, b, aSign);
+	} else {
+		return subFloat64Sigs(a, b, aSign);
+	}
+}
+
+static void
+normalizeFloat64Subnormal(bits64 aSig, int16 * zExpPtr, bits64 * zSigPtr)
+{
+	int8 shiftCount;
+
+	shiftCount = countLeadingZeros64(aSig) - 11;
+	*zSigPtr = aSig << shiftCount;
+	*zExpPtr = 1 - shiftCount;
+}
+
+void add128(bits64 a0, bits64 a1, bits64 b0, bits64 b1, bits64 * z0Ptr,
+		   bits64 * z1Ptr)
+{
+	bits64 z1;
+
+	z1 = a1 + b1;
+	*z1Ptr = z1;
+	*z0Ptr = a0 + b0 + (z1 < a1);
+}
+
+void
+sub128(bits64 a0, bits64 a1, bits64 b0, bits64 b1, bits64 * z0Ptr,
+       bits64 * z1Ptr)
+{
+	*z1Ptr = a1 - b1;
+	*z0Ptr = a0 - b0 - (a1 < b1);
+}
+
+static bits64 estimateDiv128To64(bits64 a0, bits64 a1, bits64 b)
+{
+	bits64 b0, b1;
+	bits64 rem0, rem1, term0, term1;
+	bits64 z, tmp;
+	if (b <= a0)
+		return LIT64(0xFFFFFFFFFFFFFFFF);
+	b0 = b >> 32;
+	tmp = a0;
+	do_div(tmp, b0);
+
+	z = (b0 << 32 <= a0) ? LIT64(0xFFFFFFFF00000000) : tmp << 32;
+	mul64To128(b, z, &term0, &term1);
+	sub128(a0, a1, term0, term1, &rem0, &rem1);
+	while (((sbits64) rem0) < 0) {
+		z -= LIT64(0x100000000);
+		b1 = b << 32;
+		add128(rem0, rem1, b0, b1, &rem0, &rem1);
+	}
+	rem0 = (rem0 << 32) | (rem1 >> 32);
+	tmp = rem0;
+	do_div(tmp, b0);
+	z |= (b0 << 32 <= rem0) ? 0xFFFFFFFF : tmp;
+	return z;
+}
+
+void mul64To128(bits64 a, bits64 b, bits64 * z0Ptr, bits64 * z1Ptr)
+{
+	bits32 aHigh, aLow, bHigh, bLow;
+	bits64 z0, zMiddleA, zMiddleB, z1;
+
+	aLow = a;
+	aHigh = a >> 32;
+	bLow = b;
+	bHigh = b >> 32;
+	z1 = ((bits64) aLow) * bLow;
+	zMiddleA = ((bits64) aLow) * bHigh;
+	zMiddleB = ((bits64) aHigh) * bLow;
+	z0 = ((bits64) aHigh) * bHigh;
+	zMiddleA += zMiddleB;
+	z0 += (((bits64) (zMiddleA < zMiddleB)) << 32) + (zMiddleA >> 32);
+	zMiddleA <<= 32;
+	z1 += zMiddleA;
+	z0 += (z1 < zMiddleA);
+	*z1Ptr = z1;
+	*z0Ptr = z0;
+
+}
+
+static void normalizeFloat32Subnormal(bits32 aSig, int16 * zExpPtr,
+				      bits32 * zSigPtr)
+{
+	int8 shiftCount;
+
+	shiftCount = countLeadingZeros32(aSig) - 8;
+	*zSigPtr = aSig << shiftCount;
+	*zExpPtr = 1 - shiftCount;
+
+}
+
+float64 float64_div(float64 a, float64 b)
+{
+	flag aSign, bSign, zSign;
+	int16 aExp, bExp, zExp;
+	bits64 aSig, bSig, zSig;
+	bits64 rem0, rem1;
+	bits64 term0, term1;
+
+	aSig = extractFloat64Frac(a);
+	aExp = extractFloat64Exp(a);
+	aSign = extractFloat64Sign(a);
+	bSig = extractFloat64Frac(b);
+	bExp = extractFloat64Exp(b);
+	bSign = extractFloat64Sign(b);
+	zSign = aSign ^ bSign;
+	if (aExp == 0x7FF) {
+		if (bExp == 0x7FF) {
+		}
+		return packFloat64(zSign, 0x7FF, 0);
+	}
+	if (bExp == 0x7FF) {
+		return packFloat64(zSign, 0, 0);
+	}
+	if (bExp == 0) {
+		if (bSig == 0) {
+			if ((aExp | aSig) == 0) {
+				float_raise(FPSCR_CAUSE_INVALID);
+			}
+			return packFloat64(zSign, 0x7FF, 0);
+		}
+		normalizeFloat64Subnormal(bSig, &bExp, &bSig);
+	}
+	if (aExp == 0) {
+		if (aSig == 0)
+			return packFloat64(zSign, 0, 0);
+		normalizeFloat64Subnormal(aSig, &aExp, &aSig);
+	}
+	zExp = aExp - bExp + 0x3FD;
+	aSig = (aSig | LIT64(0x0010000000000000)) << 10;
+	bSig = (bSig | LIT64(0x0010000000000000)) << 11;
+	if (bSig <= (aSig + aSig)) {
+		aSig >>= 1;
+		++zExp;
+	}
+	zSig = estimateDiv128To64(aSig, 0, bSig);
+	if ((zSig & 0x1FF) <= 2) {
+		mul64To128(bSig, zSig, &term0, &term1);
+		sub128(aSig, 0, term0, term1, &rem0, &rem1);
+		while ((sbits64) rem0 < 0) {
+			--zSig;
+			add128(rem0, rem1, 0, bSig, &rem0, &rem1);
+		}
+		zSig |= (rem1 != 0);
+	}
+	return roundAndPackFloat64(zSign, zExp, zSig);
+
+}
+
+float32 float32_div(float32 a, float32 b)
+{
+	flag aSign, bSign, zSign;
+	int16 aExp, bExp, zExp;
+	bits32 aSig, bSig;
+	uint64_t zSig;
+
+	aSig = extractFloat32Frac(a);
+	aExp = extractFloat32Exp(a);
+	aSign = extractFloat32Sign(a);
+	bSig = extractFloat32Frac(b);
+	bExp = extractFloat32Exp(b);
+	bSign = extractFloat32Sign(b);
+	zSign = aSign ^ bSign;
+	if (aExp == 0xFF) {
+		if (bExp == 0xFF) {
+		}
+		return packFloat32(zSign, 0xFF, 0);
+	}
+	if (bExp == 0xFF) {
+		return packFloat32(zSign, 0, 0);
+	}
+	if (bExp == 0) {
+		if (bSig == 0) {
+			return packFloat32(zSign, 0xFF, 0);
+		}
+		normalizeFloat32Subnormal(bSig, &bExp, &bSig);
+	}
+	if (aExp == 0) {
+		if (aSig == 0)
+			return packFloat32(zSign, 0, 0);
+		normalizeFloat32Subnormal(aSig, &aExp, &aSig);
+	}
+	zExp = aExp - bExp + 0x7D;
+	aSig = (aSig | 0x00800000) << 7;
+	bSig = (bSig | 0x00800000) << 8;
+	if (bSig <= (aSig + aSig)) {
+		aSig >>= 1;
+		++zExp;
+	}
+	zSig = (((bits64) aSig) << 32);
+	do_div(zSig, bSig);
+
+	if ((zSig & 0x3F) == 0) {
+		zSig |= (((bits64) bSig) * zSig != ((bits64) aSig) << 32);
+	}
+	return roundAndPackFloat32(zSign, zExp, (bits32)zSig);
+
+}
+
+float32 float32_mul(float32 a, float32 b)
+{
+	char aSign, bSign, zSign;
+	int aExp, bExp, zExp;
+	unsigned int aSig, bSig;
+	unsigned long long zSig64;
+	unsigned int zSig;
+
+	aSig = extractFloat32Frac(a);
+	aExp = extractFloat32Exp(a);
+	aSign = extractFloat32Sign(a);
+	bSig = extractFloat32Frac(b);
+	bExp = extractFloat32Exp(b);
+	bSign = extractFloat32Sign(b);
+	zSign = aSign ^ bSign;
+	if (aExp == 0) {
+		if (aSig == 0)
+			return packFloat32(zSign, 0, 0);
+		normalizeFloat32Subnormal(aSig, &aExp, &aSig);
+	}
+	if (bExp == 0) {
+		if (bSig == 0)
+			return packFloat32(zSign, 0, 0);
+		normalizeFloat32Subnormal(bSig, &bExp, &bSig);
+	}
+	if ((bExp == 0xff && bSig == 0) || (aExp == 0xff && aSig == 0))
+		return roundAndPackFloat32(zSign, 0xff, 0);
+
+	zExp = aExp + bExp - 0x7F;
+	aSig = (aSig | 0x00800000) << 7;
+	bSig = (bSig | 0x00800000) << 8;
+	shift64RightJamming(((unsigned long long)aSig) * bSig, 32, &zSig64);
+	zSig = zSig64;
+	if (0 <= (signed int)(zSig << 1)) {
+		zSig <<= 1;
+		--zExp;
+	}
+	return roundAndPackFloat32(zSign, zExp, zSig);
+
+}
+
+float64 float64_mul(float64 a, float64 b)
+{
+	char aSign, bSign, zSign;
+	int aExp, bExp, zExp;
+	unsigned long long int aSig, bSig, zSig0, zSig1;
+
+	aSig = extractFloat64Frac(a);
+	aExp = extractFloat64Exp(a);
+	aSign = extractFloat64Sign(a);
+	bSig = extractFloat64Frac(b);
+	bExp = extractFloat64Exp(b);
+	bSign = extractFloat64Sign(b);
+	zSign = aSign ^ bSign;
+
+	if (aExp == 0) {
+		if (aSig == 0)
+			return packFloat64(zSign, 0, 0);
+		normalizeFloat64Subnormal(aSig, &aExp, &aSig);
+	}
+	if (bExp == 0) {
+		if (bSig == 0)
+			return packFloat64(zSign, 0, 0);
+		normalizeFloat64Subnormal(bSig, &bExp, &bSig);
+	}
+	if ((aExp == 0x7ff && aSig == 0) || (bExp == 0x7ff && bSig == 0))
+		return roundAndPackFloat64(zSign, 0x7ff, 0);
+
+	zExp = aExp + bExp - 0x3FF;
+	aSig = (aSig | 0x0010000000000000LL) << 10;
+	bSig = (bSig | 0x0010000000000000LL) << 11;
+	mul64To128(aSig, bSig, &zSig0, &zSig1);
+	zSig0 |= (zSig1 != 0);
+	if (0 <= (signed long long int)(zSig0 << 1)) {
+		zSig0 <<= 1;
+		--zExp;
+	}
+	return roundAndPackFloat64(zSign, zExp, zSig0);
+}
+
+/*
+ * -------------------------------------------------------------------------------
+ *  Returns the result of converting the double-precision floating-point value
+ *  `a' to the single-precision floating-point format.  The conversion is
+ *  performed according to the IEC/IEEE Standard for Binary Floating-point
+ *  Arithmetic.
+ *  -------------------------------------------------------------------------------
+ *  */
+float32 float64_to_float32(float64 a)
+{
+    flag aSign;
+    int16 aExp;
+    bits64 aSig;
+    bits32 zSig;
+
+    aSig = extractFloat64Frac( a );
+    aExp = extractFloat64Exp( a );
+    aSign = extractFloat64Sign( a );
+
+    shift64RightJamming( aSig, 22, &aSig );
+    zSig = aSig;
+    if ( aExp || zSig ) {
+        zSig |= 0x40000000;
+        aExp -= 0x381;
+    }
+    return roundAndPackFloat32(aSign, aExp, zSig);
+}