/*
- decimal.c
-
- conversions and numerical operations for the c# type System.Decimal
-
- Author: Martin Weindel (martin.weindel@t-online.de)
-
- (C) 2001 by Martin Weindel
-*/
+ * decimal.c
+ *
+ * conversions and numerical operations for the c# type System.Decimal
+ *
+ * Author: Martin Weindel (martin.weindel@t-online.de)
+ *
+ * (C) 2001 by Martin Weindel
+ */
/*
* machine dependent configuration for
* CSharp value type System.Decimal
*/
+#include "config.h"
+#include <mono/metadata/exception.h>
#include <stdio.h>
-#include <memory.h>
#include <stdlib.h>
#include <string.h>
#include <math.h>
+#ifdef HAVE_MEMORY_H
+#include <memory.h>
+#endif
+#ifdef _MSC_VER
+#include <intrin.h>
+#endif
+
+#ifndef DISABLE_DECIMAL
/* needed for building microsoft dll */
+#ifdef __GNUC__
#define DECINLINE __inline
+#else
+#define DECINLINE
+#endif
#define LIT_GUINT32(x) x
-#define LIT_GUINT64(x) x##L
+#define LIT_GUINT64(x) x##LL
/* we need a UInt64 type => guint64 */
#define POSTCONDITION(flag)
#define TEST(flag)
#define INVARIANT_TEST(p)
-#endif //#ifdef _DEBUG
+#endif /*#ifdef _DEBUG*/
#define DECIMAL_MAX_SCALE 28
#define DECIMAL_MAX_INTFACTORS 9
#define DECIMAL_LOG_NEGINF -1000
-static guint32 constantsDecadeInt32Factors[DECIMAL_MAX_INTFACTORS+1] = {
+static const guint32 constantsDecadeInt32Factors[DECIMAL_MAX_INTFACTORS+1] = {
LIT_GUINT32(1), LIT_GUINT32(10), LIT_GUINT32(100), LIT_GUINT32(1000),
LIT_GUINT32(10000), LIT_GUINT32(100000), LIT_GUINT32(1000000),
LIT_GUINT32(10000000), LIT_GUINT32(100000000), LIT_GUINT32(1000000000)
guint64 hi;
} dec128_repr;
-static dec128_repr dec128decadeFactors[DECIMAL_MAX_SCALE+1] = {
+static const dec128_repr dec128decadeFactors[DECIMAL_MAX_SCALE+1] = {
LIT_DEC128( 0, 0, 1u), /* == 1 */
LIT_DEC128( 0, 0, 10u), /* == 10 */
LIT_DEC128( 0, 0, 100u), /* == 100 */
if (pRest) *pRest = (guint32) a;
a <<= 1;
- return (a > factor || (a == factor && (c & 1) == 1)) ? 1 : 0;
+ return (a >= factor || (a == factor && (c & 1) == 1)) ? 1 : 0;
}
/* division: x(192bit) /= factor(32bit)
/* returns upper 32bit for a(192bit) /= b(32bit)
a will contain remainder */
-static guint32 div192by96to32withRest(guint64* palo, guint64* pami, guint64* pahi,
- guint32 blo, guint32 bmi, guint32 bhi)
+DECINLINE static guint32 div192by96to32withRest(guint64* palo, guint64* pami, guint64* pahi,
+ guint32 blo, guint32 bmi, guint32 bhi)
{
guint64 rlo, rmi, rhi; /* remainder */
guint64 tlo, thi; /* term */
/* c(128bit) = a(192bit) / b(96bit)
b must be >= 2^95 */
-static void div192by96to128(guint64 alo, guint64 ami, guint64 ahi,
- guint32 blo, guint32 bmi, guint32 bhi,
- guint64* pclo, guint64* pchi)
+DECINLINE static void div192by96to128(guint64 alo, guint64 ami, guint64 ahi,
+ guint32 blo, guint32 bmi, guint32 bhi,
+ guint64* pclo, guint64* pchi)
{
guint64 rlo, rmi, rhi; /* remainder */
guint32 h, c;
if (++(*pclo) == 0) ++(*pchi);
}
-static int normalize128(guint64* pclo, guint64* pchi, int* pScale,
- int roundFlag, int roundBit)
+DECINLINE static int normalize128(guint64* pclo, guint64* pchi, int* pScale,
+ int roundFlag, int roundBit)
{
guint32 overhang = (guint32)(*pchi >> 32);
int scale = *pScale;
DECINLINE static void rshift128(guint64* pclo, guint64* pchi)
{
*pclo >>= 1;
- if (*pchi & 1) *pclo |= LIT_GUINT64_HIGHBIT;
+ *pclo |= (*pchi & 1) << 63;
*pchi >>= 1;
}
DECINLINE static void lshift96(guint32* pclo, guint32* pcmid, guint32* pchi)
{
*pchi <<= 1;
- if (*pcmid & LIT_GUINT32_HIGHBIT) (*pchi)++;
+ *pchi |= (*pcmid & LIT_GUINT32_HIGHBIT) >> 31;
*pcmid <<= 1;
- if (*pclo & LIT_GUINT32_HIGHBIT) (*pcmid)++;
+ *pcmid |= (*pclo & LIT_GUINT32_HIGHBIT) >> 31;
*pclo <<= 1;
}
DECINLINE static void lshift128(guint64* pclo, guint64* pchi)
{
*pchi <<= 1;
- if (*pclo & LIT_GUINT64_HIGHBIT) (*pchi)++;
+ *pchi |= (*pclo & LIT_GUINT64_HIGHBIT) >> 63;
*pclo <<= 1;
}
DECINLINE static void rshift192(guint64* pclo, guint64* pcmi, guint64* pchi)
{
*pclo >>= 1;
- if (*pcmi & 1) *pclo |= LIT_GUINT64_HIGHBIT;
+ *pclo |= (*pcmi & 1) << 63;
*pcmi >>= 1;
- if (*pchi & 1) *pcmi |= LIT_GUINT64_HIGHBIT;
+ *pcmi |= (*pchi & 1) << 63;
*pchi >>= 1;
}
+static inline gint
+my_g_bit_nth_msf (gsize mask)
+{
+ /* Mask is expected to be != 0 */
+#if defined(__i386__) && defined(__GNUC__)
+ int r;
+
+ __asm__("bsrl %1,%0\n\t"
+ : "=r" (r) : "rm" (mask));
+ return r;
+#elif defined(__x86_64) && defined(__GNUC__)
+ guint64 r;
+
+ __asm__("bsrq %1,%0\n\t"
+ : "=r" (r) : "rm" (mask));
+ return r;
+#elif defined(__i386__) && defined(_MSC_VER)
+ unsigned long bIndex = 0;
+ if (_BitScanReverse (&bIndex, mask))
+ return bIndex;
+ return -1;
+#elif defined(__x86_64__) && defined(_MSC_VER)
+ unsigned long bIndex = 0;
+ if (_BitScanReverse64 (&bIndex, mask))
+ return bIndex;
+ return -1;
+#elif defined(__s390x__) && defined(__NOT_YET)
+ guint64 r;
+
+ __asm__("\tlrvgr\t%1,%1\n"
+ "\tflogr\t%0,%1\n"
+ "\tjz\t0f\n"
+ "\tlghi\t%0,-1\n"
+ "0:\n"
+ : "=r" (r) : "r" (mask) : "cc");
+#else
+ int i;
+
+ i = sizeof (gsize) * 8;
+ while (i > 0) {
+ i --;
+ if (mask & (1UL << i))
+ return i;
+ }
+ return -1;
+#endif
+}
+
/* returns log2(a) or DECIMAL_LOG_NEGINF for a = 0 */
DECINLINE static int log2_32(guint32 a)
{
- int tlog2 = 0;
-
if (a == 0) return DECIMAL_LOG_NEGINF;
- if ((a >> 16) != 0) {
- a >>= 16;
- tlog2 += 16;
- }
- if ((a >> 8) != 0) {
- a >>= 8;
- tlog2 += 8;
- }
- if ((a >> 4) != 0) {
- a >>= 4;
- tlog2 += 4;
- }
- if ((a >> 2) != 0) {
- a >>= 2;
- tlog2 += 2;
- }
- if ((a >> 1) != 0) {
- a >>= 1;
- tlog2 += 1;
- }
- tlog2 += (int) a;
-
- return tlog2;
+ return my_g_bit_nth_msf (a) + 1;
}
/* returns log2(a) or DECIMAL_LOG_NEGINF for a = 0 */
DECINLINE static int log2_64(guint64 a)
{
- int tlog2 = 0;
-
if (a == 0) return DECIMAL_LOG_NEGINF;
- if ((a >> 32) != 0) {
- a >>= 32;
- tlog2 += 32;
- }
- if ((a >> 16) != 0) {
- a >>= 16;
- tlog2 += 16;
- }
- if ((a >> 8) != 0) {
- a >>= 8;
- tlog2 += 8;
- }
- if ((a >> 4) != 0) {
- a >>= 4;
- tlog2 += 4;
- }
- if ((a >> 2) != 0) {
- a >>= 2;
- tlog2 += 2;
- }
- if ((a >> 1) != 0) {
- a >>= 1;
- tlog2 += 1;
- }
- tlog2 += (int) a;
-
- return tlog2;
+#if SIZEOF_VOID_P == 8
+ return my_g_bit_nth_msf (a) + 1;
+#else
+ if ((a >> 32) == 0)
+ return my_g_bit_nth_msf ((guint32)a) + 1;
+ else
+ return my_g_bit_nth_msf ((guint32)(a >> 32)) + 1 + 32;
+#endif
}
/* returns log2(a) or DECIMAL_LOG_NEGINF for a = 0 */
/* reduce exp */
while (texp > 0 && scale <= maxScale) {
overhang = (guint32)(*pchi >> 32);
- while (texp > 0 && ((*pclo & 1) == 0 || overhang > (2<<DECIMAL_MAX_INTFACTORS))) {
- if (--texp == 0) roundBit = (int)(*pclo & 1);
+
+ /* The original loop was this: */
+ /*
+ while (texp > 0 && (overhang > (2<<DECIMAL_MAX_INTFACTORS) || (*pclo & 1) == 0)) {
+ if (--texp == 0)
+ roundBit = (int)(*pclo & 1);
rshift128(pclo, pchi);
overhang = (guint32)(*pchi >> 32);
}
+ */
+ if (overhang > 0) {
+ int msf = my_g_bit_nth_msf (overhang);
+ int shift = msf - (DECIMAL_MAX_INTFACTORS + 2);
+
+ if (shift >= texp)
+ shift = texp - 1;
+
+ if (shift > 0) {
+ texp -= shift;
+ *pclo = (*pclo >> shift) | ((*pchi & ((1 << shift) - 1)) << (64 - shift));
+ *pchi >>= shift;
+ overhang >>= shift;
+
+ g_assert (texp > 0);
+ g_assert (overhang > (2 << DECIMAL_MAX_INTFACTORS));
+ }
+ }
+ while (texp > 0 && (overhang > (2<<DECIMAL_MAX_INTFACTORS) || (*pclo & 1) == 0)) {
+ if (--texp == 0) roundBit = (int)(*pclo & 1);
+ rshift128(pclo, pchi);
+ overhang >>= 1;
+ }
if (texp > DECIMAL_MAX_INTFACTORS) i = DECIMAL_MAX_INTFACTORS;
else i = texp;
scale += i;
factor = constantsDecadeInt32Factors[i] >> i; /* 10^i/2^i=5^i */
mult128by32(pclo, pchi, factor, 0);
- //printf("3: %.17e\n", (((double)chi) * pow(2,64) + clo) * pow(10, -scale) * pow(2, -texp));
+ /*printf("3: %.17e\n", (((double)chi) * pow(2,64) + clo) * pow(10, -scale) * pow(2, -texp));*/
}
while (texp > 0) {
return normalize128(pclo, pchi, pScale, roundFlag, roundBit);
}
+guint32 rest;
+static void trimExcessScale(guint64* pclo, guint64* pchi, int* pScale)
+{
+ guint64 ilo = *pclo, lastlo;
+ guint64 ihi = *pchi, lasthi;
+ int scale = *pScale;
+ int i = 0, roundBit;
+
+ while (scale > 0) {
+ scale--;
+ i++;
+ lastlo = ilo;
+ lasthi = ihi;
+
+ roundBit = div128by32(&ilo, &ihi, 10, &rest);
+ if (rest != 0){
+ i--;
+ if (i == 0)
+ return;
+
+ *pclo = lastlo;
+ *pchi = lasthi;
+ *pScale = scale+1;
+ return;
+ }
+ }
+}
+
/* performs a += b */
gint32 mono_decimalIncr(/*[In, Out]*/decimal_repr* pA, /*[In]*/decimal_repr* pB)
{
int log2A, log2B, log2Result, log10Result, rc;
int subFlag, sign, scaleA, scaleB;
+ MONO_ARCH_SAVE_REGS;
+
DECTO128(pA, alo, ahi);
DECTO128(pB, blo, bhi);
/* Estimate log10 and scale of result for adjusting scales */
log2A = log2withScale_128(alo, ahi, scaleA);
log2B = log2withScale_128(blo, bhi, scaleB);
- log2Result = (log2A >= log2B) ? log2A : log2B;
+ log2Result = MAX (log2A, log2B);
if (!subFlag) log2Result++; /* result can have one bit more */
log10Result = (log2Result * 1000) / 3322 + 1;
/* we will calculate in 128bit, so we may need to adjust scale */
add128(alo, ahi, blo, bhi, &alo, &ahi);
}
- if (rc != DECIMAL_SUCCESS) return rc;
-
rc = rescale128(&alo, &ahi,&scaleA, 0, 0, DECIMAL_MAX_SCALE, 1);
}
PRECONDITION(digits <= 15);
sign = ((*p & LIT_GUINT64_HIGHBIT) != 0) ? 1 : 0;
+
+ // Exponent
k = ((guint16)((*p) >> 52)) & 0x7FF;
+
+ // 1-bit followed by the fraction component from the float
alo = (*p & LIT_GUINT64(0xFFFFFFFFFFFFF)) | LIT_GUINT64(0x10000000000000);
ahi = 0;
}
scale = 0;
- rc = rescale128(&alo, &ahi, &scale, -texp, 0, DECIMAL_MAX_SCALE, 0);
+ rc = rescale128(&alo, &ahi, &scale, -texp, 0, DECIMAL_MAX_SCALE, 1);
if (rc != DECIMAL_SUCCESS) return rc;
sigDigits = calcDigits(alo, ahi);
}
}
+ //
+ // Turn the double 0.6 which at this point is:
+ // 0.6000000000000000
+ // into:
+ // 0.6
+ //
+ trimExcessScale (&alo, &ahi, &scale);
+
return pack128toDecimal(pA, alo, ahi, scale, sign);
}
-/**
+/**
+ * mono_string2decimal:
+ * @decimal_repr:
+ * @str:
+ * @decrDecimal:
+ * @sign:
+ *
* converts a digit string to decimal
* The significant digits must be passed as an integer in buf !
*
}
/**
+ * mono_decimal2string:
+ * @
* returns minimal number of digit string to represent decimal
* No leading or trailing zeros !
* Examples:
- * *pA == 0 => buf = "", *pDecPos = 0, *pSign = 0
+ * *pA == 0 => buf = "", *pDecPos = 1, *pSign = 0
* *pA == 12.34 => buf = "1234", *pDecPos = 2, *pSign = 0
* *pA == -1000.0000 => buf = "1", *pDecPos = 4, *pSign = 1
* *pA == -0.00000076 => buf = "76", *pDecPos = -6, *pSign = 0
* pDecPos receives insert position of decimal point relative to start of buffer
* pSign receives sign
*/
-
gint32 mono_decimal2string(/*[In]*/decimal_repr* pA, gint32 digits, gint32 decimals,
MonoArray* pArray, gint32 bufSize, gint32* pDecPos, gint32* pSign)
{
gint32 sigDigits, d;
int i, scale, len;
+ MONO_ARCH_SAVE_REGS;
+
scale = pA->signscale.scale;
DECTO128(pA, alo, ahi);
sigDigits = calcDigits(alo, ahi); /* significant digits */
}
/**
+ * mono_decimal2UInt64:
+ * @pA
+ * @pResult
* converts a decimal to an UInt64 without rounding
*/
gint32 mono_decimal2UInt64(/*[In]*/decimal_repr* pA, guint64* pResult)
guint64 alo, ahi;
int scale;
+ MONO_ARCH_SAVE_REGS;
+
DECTO128(pA, alo, ahi);
scale = pA->signscale.scale;
if (scale > 0) {
}
/**
+ * mono_decimal2Int64:
+ * @pA:
+ * pResult:
* converts a decimal to an Int64 without rounding
*/
gint32 mono_decimal2Int64(/*[In]*/decimal_repr* pA, gint64* pResult)
guint64 alo, ahi;
int sign, scale;
+ MONO_ARCH_SAVE_REGS;
+
DECTO128(pA, alo, ahi);
scale = pA->signscale.scale;
if (scale > 0) {
int scale, sign, idx;
int hasRest = 0;
+ MONO_ARCH_SAVE_REGS;
+
scale = pA->signscale.scale;
if (scale == 0) return; /* nothing to do */
guint64 alo, ahi;
int scale, sign;
+ MONO_ARCH_SAVE_REGS;
+
DECTO128(pA, alo, ahi);
scale = pA->signscale.scale;
sign = pA->signscale.sign;
guint32 factor;
int scale, sign, rc;
+ MONO_ARCH_SAVE_REGS;
+
mult96by96to192(pA->lo32, pA->mid32, pA->hi32, pB->lo32, pB->mid32, pB->hi32,
&low, &mid, &high);
return pack128toDecimal(pA, low, mid, scale, sign);
}
-static int decimalDivSub(/*[In]*/decimal_repr* pA, /*[In]*/decimal_repr* pB,
- guint64* pclo, guint64* pchi, int* pExp)
+static DECINLINE int decimalDivSub(/*[In]*/decimal_repr* pA, /*[In]*/decimal_repr* pB,
+ guint64* pclo, guint64* pchi, int* pExp)
{
guint64 alo, ami, ahi;
guint64 tlo, tmi, thi;
}
/* enlarge dividend to get maximal precision */
- for (ashift = 0; (ahi & LIT_GUINT64_HIGHBIT) == 0; ++ashift) {
- lshift128(&ami, &ahi);
- }
+ if (ahi == 0) {
+ ahi = ami;
+ ami = 0;
+ for (ashift = 64; (ahi & LIT_GUINT64_HIGHBIT) == 0; ++ashift) {
+ ahi <<= 1;
+ }
+ } else {
+ for (ashift = 0; (ahi & LIT_GUINT64_HIGHBIT) == 0; ++ashift) {
+ lshift128(&ami, &ahi);
+ }
+ }
/* ensure that divisor is at least 2^95 */
- for (bshift = 0; (bhi & LIT_GUINT32_HIGHBIT) == 0; ++bshift) {
- lshift96(&blo, &bmi, &bhi);
- }
+ if (bhi == 0) {
+
+ if (bmi == 0) {
+ guint32 hi_shift;
+ bhi = blo;
+ bmi = 0;
+ blo = 0;
+
+ //g_assert (g_bit_nth_msf (bhi, 32) == my_g_bit_nth_msf (bhi));
+
+ hi_shift = 31 - my_g_bit_nth_msf (bhi);
+ bhi <<= hi_shift;
+ bshift = 64 + hi_shift;
+ } else {
+ bhi = bmi;
+ bmi = blo;
+ blo = 0;
+
+ for (bshift = 32; (bhi & LIT_GUINT32_HIGHBIT) == 0; ++bshift) {
+ bhi <<= 1;
+ bhi |= (bmi & LIT_GUINT32_HIGHBIT) >> 31;
+ bmi <<= 1;
+ }
+ }
+ } else {
+ for (bshift = 0; (bhi & LIT_GUINT32_HIGHBIT) == 0; ++bshift) {
+ bhi <<= 1;
+ bhi |= (bmi & LIT_GUINT32_HIGHBIT) >> 31;
+ bmi <<= 1;
+ bmi |= (blo & LIT_GUINT32_HIGHBIT) >> 31;
+ blo <<= 1;
+ }
+ }
thi = ((guint64)bhi)<<32 | bmi;
tmi = ((guint64)blo)<<32;
guint64 clo, chi; /* result */
int scale, texp, rc;
+ MONO_ARCH_SAVE_REGS;
+
+ /* Check for common cases */
+ if (mono_decimalCompare (pA, pB) == 0)
+ /* One */
+ return pack128toDecimal (pC, 1, 0, 0, 0);
+ pA->signscale.sign = pA->signscale.sign ? 0 : 1;
+ if (mono_decimalCompare (pA, pB) == 0)
+ /* Minus one */
+ return pack128toDecimal (pC, 1, 0, 0, 1);
+ pA->signscale.sign = pA->signscale.sign ? 0 : 1;
+
rc = decimalDivSub(pA, pB, &clo, &chi, &texp);
if (rc != DECIMAL_SUCCESS) {
if (rc == DECIMAL_FINISHED) rc = DECIMAL_SUCCESS;
/* adjust scale and sign */
scale = (int)pA->signscale.scale - (int)pB->signscale.scale;
- //test: printf("0: %.17e\n", (((double)chi) * pow(2,64) + clo) * pow(10, -scale) * pow(2, -exp));
+ /*test: printf("0: %.17e\n", (((double)chi) * pow(2,64) + clo) * pow(10, -scale) * pow(2, -exp));*/
rc = rescale128(&clo, &chi, &scale, texp, 0, DECIMAL_MAX_SCALE, 1);
if (rc != DECIMAL_SUCCESS) return rc;
guint64 clo, chi; /* result */
int scale, texp, rc;
+ MONO_ARCH_SAVE_REGS;
+
rc = decimalDivSub(pA, pB, &clo, &chi, &texp);
if (rc != DECIMAL_SUCCESS) {
if (rc == DECIMAL_FINISHED) rc = DECIMAL_SUCCESS;
int log2a, log2b, delta, sign;
decimal_repr aa;
+ MONO_ARCH_SAVE_REGS;
+
sign = (pA->signscale.sign) ? -1 : 1;
if (pA->signscale.sign ^ pB->signscale.sign) {
PRECONDITION(sign == 0 || sign == 1);
*p = (((guint64)sign) << 63) | (((guint64)((1023+texp)&0x7ff)) << 52) | mantisse;
+#ifdef ARM_FPU_FPA
+#if G_BYTE_ORDER == G_LITTLE_ENDIAN
+ {
+ guint32 temp;
+ guint32 *t = (guint32*)p;
+ temp = t [0];
+ t [0] = t [1];
+ t [1] = temp;
+ }
+#endif
+#endif
}
double mono_decimal2double(/*[In]*/decimal_repr* pA)
guint32 overhang, factor, roundBits;
int scale, texp, log5, i;
+ MONO_ARCH_SAVE_REGS;
+
ahi = (((guint64)(pA->hi32)) << 32) | pA->mid32;
alo = ((guint64)(pA->lo32)) << 32;
ahi += 0x400;
if ((ahi & LIT_GUINT64_HIGHBIT) == 0) { /* overflow ? */
ahi >>= 1;
- texp++;
+ texp--;
} else if ((roundBits & 0x400) == 0) ahi &= ~1;
/* 96 bit => 1 implizit bit and 52 explicit bits */
int rc;
int scale = pA->signscale.scale;
+ MONO_ARCH_SAVE_REGS;
+
scale -= texp;
if (scale < 0 || scale > DECIMAL_MAX_SCALE) {
return DECIMAL_SUCCESS;
}
}
+
+#endif /* DISABLE_DECIMAL */
+
projects / mono.git / blobdiff