// Copyright 2017 The PDFium Authors // 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 "xfa/fgas/crt/cfgas_decimal.h" #include #include #include #include #include "core/fxcrt/check.h" #include "core/fxcrt/compiler_specific.h" #include "core/fxcrt/fx_extension.h" #define FXMATH_DECIMAL_SCALELIMIT 0x1c #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; UNSAFE_TODO({ 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; UNSAFE_TODO({ 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) { UNSAFE_TODO({ 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; UNSAFE_TODO({ 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) { UNSAFE_TODO({ for (int i = 0; i < al; i++) { if (a[i]--) { return; } } }); } inline void decimal_helper_inc_any(uint64_t a[], uint8_t al) { UNSAFE_TODO({ 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) { DCHECK(al + bl <= cl); UNSAFE_TODO({ 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) { UNSAFE_TODO({ 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) { UNSAFE_TODO({ 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 CFGAS_Decimal::CFGAS_Decimal() = default; CFGAS_Decimal::CFGAS_Decimal(uint64_t val) : m_uMid(static_cast(FXMATH_DECIMAL_RSHIFT32BIT(val))), m_uLo(static_cast(val)) {} CFGAS_Decimal::CFGAS_Decimal(uint32_t val) : m_uLo(static_cast(val)) {} CFGAS_Decimal::CFGAS_Decimal(uint32_t lo, uint32_t mid, uint32_t hi, bool neg, uint8_t scale) : m_uHi(hi), m_uMid(mid), m_uLo(lo), m_bNeg(neg && IsNotZero()), m_uScale(scale > FXMATH_DECIMAL_SCALELIMIT ? 0 : scale) {} CFGAS_Decimal::CFGAS_Decimal(int32_t val) { if (val >= 0) { *this = CFGAS_Decimal(static_cast(val)); } else if (val == std::numeric_limits::min()) { *this = CFGAS_Decimal(static_cast(val)); SetNegate(); } else { *this = CFGAS_Decimal(static_cast(-val)); SetNegate(); } } CFGAS_Decimal::CFGAS_Decimal(float val, uint8_t scale) { float newval = fabs(val); float divisor = powf(2.0, 64.0f); uint64_t bottom64 = static_cast(fmodf(newval, divisor)); uint64_t top64 = static_cast(newval / divisor); uint64_t plo = bottom64 & 0xFFFFFFFF; uint64_t pmid = bottom64 >> 32; uint64_t phi = top64 & 0xFFFFFFFF; newval = fmodf(newval, 1.0f); for (uint8_t iter = 0; iter < scale; iter++) { decimal_helper_mul10(phi, pmid, plo); newval *= 10; plo += static_cast(newval); newval = fmodf(newval, 1.0f); } plo += FXSYS_roundf(newval); decimal_helper_normalize(phi, pmid, plo); m_uHi = static_cast(phi); m_uMid = static_cast(pmid); m_uLo = static_cast(plo); m_bNeg = val < 0 && IsNotZero(); m_uScale = scale; } CFGAS_Decimal::CFGAS_Decimal(WideStringView str) { bool pointmet = false; bool negmet = false; uint8_t scale = 0; // Note: Rely on WideStringView::Front() => NUL on empty strings. while (str.Front() == ' ') { str = str.Substr(1); } if (str.Front() == '-') { negmet = true; str = str.Substr(1); } else if (str.Front() == '+') { str = str.Substr(1); } while (scale < FXMATH_DECIMAL_SCALELIMIT) { if (str.Front() == '.') { pointmet = true; str = str.Substr(1); continue; } if (!FXSYS_IsDecimalDigit(static_cast(str.Front()))) { break; } 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.Front() - '0'); if (pointmet) { scale++; } str = str.Substr(1); } m_bNeg = negmet && IsNotZero(); m_uScale = scale; } WideString CFGAS_Decimal::ToWideString() const { WideString retString; 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 = m_uScale; while (scale >= outputlen) { tmpbuf += '0'; outputlen++; } if (m_bNeg && IsNotZero()) retString += '-'; for (uint8_t idx = 0; idx < outputlen; idx++) { if (idx == (outputlen - scale) && scale != 0) retString += '.'; retString += tmpbuf[outputlen - 1 - idx]; } return retString; } float CFGAS_Decimal::ToFloat() const { return static_cast(ToDouble()); } double CFGAS_Decimal::ToDouble() const { double pow = (double)(1 << 16) * (1 << 16); double base = static_cast(m_uHi) * pow * pow + static_cast(m_uMid) * pow + static_cast(m_uLo); return (m_bNeg ? -1 : 1) * base * powf(10.0f, -m_uScale); } void CFGAS_Decimal::SetScale(uint8_t newscale) { uint8_t oldscale = m_uScale; if (oldscale == newscale) return; uint64_t phi = m_uHi; uint64_t pmid = m_uMid; uint64_t plo = m_uLo; if (newscale > oldscale) { for (uint8_t iter = 0; iter < newscale - oldscale; iter++) decimal_helper_mul10(phi, pmid, plo); m_uHi = static_cast(phi); m_uMid = static_cast(pmid); m_uLo = static_cast(plo); m_bNeg = m_bNeg && IsNotZero(); m_uScale = newscale; } else { uint64_t point5_hi = 0; uint64_t point5_mid = 0; uint64_t point5_lo = 5; for (uint8_t iter = 0; iter < oldscale - newscale - 1; iter++) decimal_helper_mul10(point5_hi, point5_mid, point5_lo); phi += point5_hi; pmid += point5_mid; plo += point5_lo; 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(phi); m_uMid = static_cast(pmid); m_uLo = static_cast(plo); m_bNeg = m_bNeg && IsNotZero(); m_uScale = newscale; } void CFGAS_Decimal::SetNegate() { if (IsNotZero()) m_bNeg = !m_bNeg; } CFGAS_Decimal CFGAS_Decimal::operator*(const CFGAS_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 = m_bNeg ^ val.m_bNeg; uint8_t scale = m_uScale + val.m_uScale; decimal_helper_shrinkintorange(c, 6, 3, scale); return CFGAS_Decimal(static_cast(c[0]), static_cast(c[1]), static_cast(c[2]), neg, scale); } CFGAS_Decimal CFGAS_Decimal::operator/(const CFGAS_Decimal& val) const { if (!val.IsNotZero()) return CFGAS_Decimal(); bool neg = m_bNeg ^ val.m_bNeg; 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 (m_uScale < val.m_uScale) { for (int i = val.m_uScale - m_uScale; i > 0; i--) decimal_helper_mul10_any(a, 7); } else { scale = m_uScale - val.m_uScale; } uint8_t minscale = scale; if (!IsNotZero()) return CFGAS_Decimal(0, 0, 0, false, 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 CFGAS_Decimal(static_cast(c[0]), static_cast(c[1]), static_cast(c[2]), neg, scale); }