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