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// Copyright 2017 PDFium Authors. All rights reserved.
// Use of this source code is governed by a BSD-style license that can be
// found in the LICENSE file.
// Original code copyright 2014 Foxit Software Inc. http://www.foxitsoftware.com
#include "core/fxcrt/cfx_decimal.h"
#include <algorithm>
#include <utility>
#include "core/fxcrt/fx_extension.h"
#define FXMATH_DECIMAL_SCALELIMIT 0x1c
#define FXMATH_DECIMAL_NEGMASK (0x80000000L)
#define FXMATH_DECIMAL_FORCEBOOL(x) (!!(x))
#define FXMATH_DECIMAL_MAKEFLAGS(NEG, SCALE) \
(((SCALE) << 0x10) | ((NEG) ? FXMATH_DECIMAL_NEGMASK : 0))
#define FXMATH_DECIMAL_FLAGS2NEG(FLAGS) \
FXMATH_DECIMAL_FORCEBOOL((FLAGS)&FXMATH_DECIMAL_NEGMASK)
#define FXMATH_DECIMAL_FLAGS2SCALE(FLAGS) \
((uint8_t)(((FLAGS) & ~FXMATH_DECIMAL_NEGMASK) >> 0x10))
#define FXMATH_DECIMAL_RSHIFT32BIT(x) ((x) >> 0x10 >> 0x10)
#define FXMATH_DECIMAL_LSHIFT32BIT(x) ((x) << 0x10 << 0x10)
namespace {
inline uint8_t decimal_helper_div10(uint64_t& phi,
uint64_t& pmid,
uint64_t& plo) {
uint8_t retVal;
pmid += FXMATH_DECIMAL_LSHIFT32BIT(phi % 0xA);
phi /= 0xA;
plo += FXMATH_DECIMAL_LSHIFT32BIT(pmid % 0xA);
pmid /= 0xA;
retVal = plo % 0xA;
plo /= 0xA;
return retVal;
}
inline uint8_t decimal_helper_div10_any(uint64_t nums[], uint8_t numcount) {
uint8_t retVal = 0;
for (int i = numcount - 1; i > 0; i--) {
nums[i - 1] += FXMATH_DECIMAL_LSHIFT32BIT(nums[i] % 0xA);
nums[i] /= 0xA;
}
if (numcount) {
retVal = nums[0] % 0xA;
nums[0] /= 0xA;
}
return retVal;
}
inline void decimal_helper_mul10(uint64_t& phi, uint64_t& pmid, uint64_t& plo) {
plo *= 0xA;
pmid = pmid * 0xA + FXMATH_DECIMAL_RSHIFT32BIT(plo);
plo = (uint32_t)plo;
phi = phi * 0xA + FXMATH_DECIMAL_RSHIFT32BIT(pmid);
pmid = (uint32_t)pmid;
}
inline void decimal_helper_mul10_any(uint64_t nums[], uint8_t numcount) {
nums[0] *= 0xA;
for (int i = 1; i < numcount; i++) {
nums[i] = nums[i] * 0xA + FXMATH_DECIMAL_RSHIFT32BIT(nums[i - 1]);
nums[i - 1] = (uint32_t)nums[i - 1];
}
}
inline void decimal_helper_normalize(uint64_t& phi,
uint64_t& pmid,
uint64_t& plo) {
phi += FXMATH_DECIMAL_RSHIFT32BIT(pmid);
pmid = (uint32_t)pmid;
pmid += FXMATH_DECIMAL_RSHIFT32BIT(plo);
plo = (uint32_t)plo;
phi += FXMATH_DECIMAL_RSHIFT32BIT(pmid);
pmid = (uint32_t)pmid;
}
inline void decimal_helper_normalize_any(uint64_t nums[], uint8_t len) {
for (int i = len - 2; i > 0; i--) {
nums[i + 1] += FXMATH_DECIMAL_RSHIFT32BIT(nums[i]);
nums[i] = (uint32_t)nums[i];
}
for (int i = 0; i < len - 1; i++) {
nums[i + 1] += FXMATH_DECIMAL_RSHIFT32BIT(nums[i]);
nums[i] = (uint32_t)nums[i];
}
}
inline int8_t decimal_helper_raw_compare_any(uint64_t a[],
uint8_t al,
uint64_t b[],
uint8_t bl) {
int8_t retVal = 0;
for (int i = std::max(al - 1, bl - 1); i >= 0; i--) {
uint64_t l = (i >= al ? 0 : a[i]), r = (i >= bl ? 0 : b[i]);
retVal += (l > r ? 1 : (l < r ? -1 : 0));
if (retVal)
return retVal;
}
return retVal;
}
inline void decimal_helper_dec_any(uint64_t a[], uint8_t al) {
for (int i = 0; i < al; i++) {
if (a[i]--)
return;
}
}
inline void decimal_helper_inc_any(uint64_t a[], uint8_t al) {
for (int i = 0; i < al; i++) {
a[i]++;
if ((uint32_t)a[i] == a[i])
return;
a[i] = 0;
}
}
inline void decimal_helper_raw_mul(uint64_t a[],
uint8_t al,
uint64_t b[],
uint8_t bl,
uint64_t c[],
uint8_t cl) {
ASSERT(al + bl <= cl);
for (int i = 0; i < cl; i++)
c[i] = 0;
for (int i = 0; i < al; i++) {
for (int j = 0; j < bl; j++) {
uint64_t m = (uint64_t)a[i] * b[j];
c[i + j] += (uint32_t)m;
c[i + j + 1] += FXMATH_DECIMAL_RSHIFT32BIT(m);
}
}
for (int i = 0; i < cl - 1; i++) {
c[i + 1] += FXMATH_DECIMAL_RSHIFT32BIT(c[i]);
c[i] = (uint32_t)c[i];
}
for (int i = 0; i < cl; i++)
c[i] = (uint32_t)c[i];
}
inline void decimal_helper_raw_div(uint64_t a[],
uint8_t al,
uint64_t b[],
uint8_t bl,
uint64_t c[],
uint8_t cl) {
for (int i = 0; i < cl; i++)
c[i] = 0;
uint64_t left[16] = {0};
uint64_t right[16] = {0};
left[0] = 0;
for (int i = 0; i < al; i++)
right[i] = a[i];
uint64_t tmp[16];
while (decimal_helper_raw_compare_any(left, al, right, al) <= 0) {
uint64_t cur[16];
for (int i = 0; i < al; i++)
cur[i] = left[i] + right[i];
for (int i = al - 1; i >= 0; i--) {
if (i)
cur[i - 1] += FXMATH_DECIMAL_LSHIFT32BIT(cur[i] % 2);
cur[i] /= 2;
}
decimal_helper_raw_mul(cur, al, b, bl, tmp, 16);
switch (decimal_helper_raw_compare_any(tmp, 16, a, al)) {
case -1:
for (int i = 0; i < 16; i++)
left[i] = cur[i];
left[0]++;
decimal_helper_normalize_any(left, al);
break;
case 1:
for (int i = 0; i < 16; i++)
right[i] = cur[i];
decimal_helper_dec_any(right, al);
break;
case 0:
for (int i = 0; i < std::min(al, cl); i++)
c[i] = cur[i];
return;
}
}
for (int i = 0; i < std::min(al, cl); i++)
c[i] = left[i];
}
inline bool decimal_helper_outofrange(uint64_t a[], uint8_t al, uint8_t goal) {
for (int i = goal; i < al; i++) {
if (a[i])
return true;
}
return false;
}
inline void decimal_helper_shrinkintorange(uint64_t a[],
uint8_t al,
uint8_t goal,
uint8_t& scale) {
bool bRoundUp = false;
while (scale != 0 && (scale > FXMATH_DECIMAL_SCALELIMIT ||
decimal_helper_outofrange(a, al, goal))) {
bRoundUp = decimal_helper_div10_any(a, al) >= 5;
scale--;
}
if (bRoundUp) {
decimal_helper_normalize_any(a, goal);
decimal_helper_inc_any(a, goal);
}
}
inline void decimal_helper_truncate(uint64_t& phi,
uint64_t& pmid,
uint64_t& plo,
uint8_t& scale,
uint8_t minscale = 0) {
while (scale > minscale) {
uint64_t thi = phi, tmid = pmid, tlo = plo;
if (decimal_helper_div10(thi, tmid, tlo) != 0)
break;
phi = thi;
pmid = tmid;
plo = tlo;
scale--;
}
}
} // namespace
CFX_Decimal::CFX_Decimal() : m_uHi(0), m_uLo(0), m_uMid(0), m_uFlags(0) {}
CFX_Decimal::CFX_Decimal(uint64_t val)
: m_uHi(0),
m_uLo(static_cast<uint32_t>(val)),
m_uMid(static_cast<uint32_t>(FXMATH_DECIMAL_RSHIFT32BIT(val))),
m_uFlags(0) {}
CFX_Decimal::CFX_Decimal(uint32_t val)
: m_uHi(0), m_uLo(static_cast<uint32_t>(val)), m_uMid(0), m_uFlags(0) {}
CFX_Decimal::CFX_Decimal(uint32_t lo,
uint32_t mid,
uint32_t hi,
bool neg,
uint8_t scale)
: m_uHi(hi),
m_uLo(lo),
m_uMid(mid),
m_uFlags(FXMATH_DECIMAL_MAKEFLAGS(
neg && IsNotZero(),
(scale > FXMATH_DECIMAL_SCALELIMIT ? 0 : scale))) {}
CFX_Decimal::CFX_Decimal(int32_t val) {
if (val >= 0) {
*this = CFX_Decimal(static_cast<uint32_t>(val));
} else {
*this = CFX_Decimal(static_cast<uint32_t>(-val));
SetNegate();
}
}
CFX_Decimal::CFX_Decimal(float val, uint8_t scale) {
float newval = fabs(val);
uint64_t phi;
uint64_t pmid;
uint64_t plo;
plo = static_cast<uint64_t>(newval);
pmid = static_cast<uint64_t>(newval / 1e32);
phi = static_cast<uint64_t>(newval / 1e64);
newval = fmod(newval, 1.0f);
for (uint8_t iter = 0; iter < scale; iter++) {
decimal_helper_mul10(phi, pmid, plo);
newval *= 10;
plo += static_cast<uint64_t>(newval);
newval = fmod(newval, 1.0f);
}
plo += FXSYS_round(newval);
decimal_helper_normalize(phi, pmid, plo);
m_uHi = static_cast<uint32_t>(phi);
m_uMid = static_cast<uint32_t>(pmid);
m_uLo = static_cast<uint32_t>(plo);
m_uFlags = FXMATH_DECIMAL_MAKEFLAGS(val < 0 && IsNotZero(), scale);
}
CFX_Decimal::CFX_Decimal(const CFX_WideStringC& strObj) {
const wchar_t* str = strObj.unterminated_c_str();
const wchar_t* strBound = str + strObj.GetLength();
bool pointmet = false;
bool negmet = false;
uint8_t scale = 0;
m_uHi = 0;
m_uMid = 0;
m_uLo = 0;
while (str != strBound && *str == ' ')
str++;
if (str != strBound && *str == '-') {
negmet = 1;
str++;
} else if (str != strBound && *str == '+') {
str++;
}
while (str != strBound && (std::iswdigit(*str) || *str == '.') &&
scale < FXMATH_DECIMAL_SCALELIMIT) {
if (*str == '.') {
if (!pointmet)
pointmet = 1;
} else {
m_uHi = m_uHi * 0xA + FXMATH_DECIMAL_RSHIFT32BIT((uint64_t)m_uMid * 0xA);
m_uMid = m_uMid * 0xA + FXMATH_DECIMAL_RSHIFT32BIT((uint64_t)m_uLo * 0xA);
m_uLo = m_uLo * 0xA + (*str - '0');
if (pointmet)
scale++;
}
str++;
}
m_uFlags = FXMATH_DECIMAL_MAKEFLAGS(negmet && IsNotZero(), scale);
}
CFX_Decimal::operator CFX_WideString() const {
CFX_WideString retString;
CFX_WideString tmpbuf;
uint64_t phi = m_uHi;
uint64_t pmid = m_uMid;
uint64_t plo = m_uLo;
while (phi || pmid || plo)
tmpbuf += decimal_helper_div10(phi, pmid, plo) + '0';
uint8_t outputlen = (uint8_t)tmpbuf.GetLength();
uint8_t scale = (uint8_t)FXMATH_DECIMAL_FLAGS2SCALE(m_uFlags);
while (scale >= outputlen) {
tmpbuf += '0';
outputlen++;
}
if (FXMATH_DECIMAL_FLAGS2NEG(m_uFlags) && IsNotZero())
retString += '-';
for (uint8_t idx = 0; idx < outputlen; idx++) {
if (idx == (outputlen - scale) && scale != 0)
retString += '.';
retString += tmpbuf[outputlen - 1 - idx];
}
return retString;
}
CFX_Decimal::operator double() const {
double pow = (double)(1 << 16) * (1 << 16);
double base = static_cast<double>(m_uHi) * pow * pow +
static_cast<double>(m_uMid) * pow + static_cast<double>(m_uLo);
int8_t scale = FXMATH_DECIMAL_FLAGS2SCALE(m_uFlags);
bool bNeg = FXMATH_DECIMAL_FLAGS2NEG(m_uFlags);
return (bNeg ? -1 : 1) * base * ::pow(10.0, -scale);
}
void CFX_Decimal::SetScale(uint8_t newscale) {
uint8_t oldscale = FXMATH_DECIMAL_FLAGS2SCALE(m_uFlags);
if (newscale > oldscale) {
uint64_t phi = m_uHi;
uint64_t pmid = m_uMid;
uint64_t plo = m_uLo;
for (uint8_t iter = 0; iter < newscale - oldscale; iter++)
decimal_helper_mul10(phi, pmid, plo);
m_uHi = static_cast<uint32_t>(phi);
m_uMid = static_cast<uint32_t>(pmid);
m_uLo = static_cast<uint32_t>(plo);
m_uFlags = FXMATH_DECIMAL_MAKEFLAGS(
FXMATH_DECIMAL_FLAGS2NEG(m_uFlags) && IsNotZero(), newscale);
} else if (newscale < oldscale) {
uint64_t phi;
uint64_t pmid;
uint64_t plo;
phi = 0;
pmid = 0;
plo = 5;
for (uint8_t iter = 0; iter < oldscale - newscale - 1; iter++)
decimal_helper_mul10(phi, pmid, plo);
phi += m_uHi;
pmid += m_uMid;
plo += m_uLo;
decimal_helper_normalize(phi, pmid, plo);
for (uint8_t iter = 0; iter < oldscale - newscale; iter++)
decimal_helper_div10(phi, pmid, plo);
m_uHi = static_cast<uint32_t>(phi);
m_uMid = static_cast<uint32_t>(pmid);
m_uLo = static_cast<uint32_t>(plo);
m_uFlags = FXMATH_DECIMAL_MAKEFLAGS(
FXMATH_DECIMAL_FLAGS2NEG(m_uFlags) && IsNotZero(), newscale);
}
}
uint8_t CFX_Decimal::GetScale() {
return FXMATH_DECIMAL_FLAGS2SCALE(m_uFlags);
}
void CFX_Decimal::SetNegate() {
if (IsNotZero())
m_uFlags ^= FXMATH_DECIMAL_NEGMASK;
}
void CFX_Decimal::Swap(CFX_Decimal& val) {
std::swap(m_uHi, val.m_uHi);
std::swap(m_uMid, val.m_uMid);
std::swap(m_uLo, val.m_uLo);
std::swap(m_uFlags, val.m_uFlags);
}
CFX_Decimal CFX_Decimal::operator*(const CFX_Decimal& val) const {
uint64_t a[3] = {m_uLo, m_uMid, m_uHi},
b[3] = {val.m_uLo, val.m_uMid, val.m_uHi};
uint64_t c[6];
decimal_helper_raw_mul(a, 3, b, 3, c, 6);
bool neg = FXMATH_DECIMAL_FLAGS2NEG(m_uFlags) ^
FXMATH_DECIMAL_FLAGS2NEG(val.m_uFlags);
uint8_t scale = FXMATH_DECIMAL_FLAGS2SCALE(m_uFlags) +
FXMATH_DECIMAL_FLAGS2SCALE(val.m_uFlags);
decimal_helper_shrinkintorange(c, 6, 3, scale);
return CFX_Decimal(static_cast<uint32_t>(c[0]), static_cast<uint32_t>(c[1]),
static_cast<uint32_t>(c[2]), neg, scale);
}
CFX_Decimal CFX_Decimal::operator/(const CFX_Decimal& val) const {
if (!val.IsNotZero())
return CFX_Decimal();
bool neg = FXMATH_DECIMAL_FLAGS2NEG(m_uFlags) ^
FXMATH_DECIMAL_FLAGS2NEG(val.m_uFlags);
uint64_t a[7] = {m_uLo, m_uMid, m_uHi},
b[3] = {val.m_uLo, val.m_uMid, val.m_uHi}, c[7] = {0};
uint8_t scale = 0;
if (FXMATH_DECIMAL_FLAGS2SCALE(m_uFlags) <
FXMATH_DECIMAL_FLAGS2SCALE(val.m_uFlags)) {
for (int i = FXMATH_DECIMAL_FLAGS2SCALE(val.m_uFlags) -
FXMATH_DECIMAL_FLAGS2SCALE(m_uFlags);
i > 0; i--) {
decimal_helper_mul10_any(a, 7);
}
} else {
scale = FXMATH_DECIMAL_FLAGS2SCALE(m_uFlags) -
FXMATH_DECIMAL_FLAGS2SCALE(val.m_uFlags);
}
uint8_t minscale = scale;
if (!IsNotZero())
return CFX_Decimal(0, 0, 0, 0, minscale);
while (!a[6]) {
decimal_helper_mul10_any(a, 7);
scale++;
}
decimal_helper_div10_any(a, 7);
scale--;
decimal_helper_raw_div(a, 6, b, 3, c, 7);
decimal_helper_shrinkintorange(c, 6, 3, scale);
decimal_helper_truncate(c[2], c[1], c[0], scale, minscale);
return CFX_Decimal(static_cast<uint32_t>(c[0]), static_cast<uint32_t>(c[1]),
static_cast<uint32_t>(c[2]), neg, scale);
}