#include "storm/big/Ops.hpp" void Add(BigBuffer& a, const BigBuffer& b, uint32_t c) { uint64_t carry = c; uint32_t i = 0; for (i = 0; carry || b.IsUsed(i); i++) { carry += b[i]; a[i] = ExtractLowPart(carry); } a.SetCount(i); } void Add(BigBuffer& a, const BigBuffer& b, const BigBuffer& c) { uint64_t carry = 0; uint32_t i = 0; for (i = 0; carry || b.IsUsed(i) || c.IsUsed(i); i++) { carry += static_cast(b[i]) + c[i]; a[i] = ExtractLowPart(carry); } a.SetCount(i); } int32_t Compare(const BigBuffer& a, const BigBuffer& b) { int32_t result = 0; for (int32_t i = 0; a.IsUsed(i) || b.IsUsed(i); i++) { if (a[i] != b[i]) { result = b[i] < a[i] ? 1 : -1; } } return result; } void Div(BigBuffer& a, uint32_t* b, const BigBuffer& c, uint64_t d) { // TODO STORM_ASSERT(d <= SMALL_BOUND); auto index = c.Count(); a.SetCount(index); uint64_t data = 0; while (index > 0) { InsertLowPart(data, c[--index]); a[index] = data / d; data %= d; } a.Trim(); *b = data; } uint32_t ExtractLowPart(uint64_t& value) { auto low = static_cast(value); value >>= 32; return low; } uint32_t ExtractLowPartLargeSum(uint64_t& value, uint64_t add) { auto carry = (value += add) < add; auto low = ExtractLowPart(value); value += static_cast(carry) << 32; return low; } uint32_t ExtractLowPartSx(uint64_t& value) { auto low = static_cast(value); value >>= 32; if (value >= 0x80000000) { reinterpret_cast(&value)[0] = value; reinterpret_cast(&value)[1] = -1; } return low; } void FromBinary(BigBuffer& buffer, const void* data, uint32_t bytes) { buffer.Clear(); for (uint32_t i = 0; i < bytes; i++) { auto byte = static_cast(data)[i]; auto v7 = (i & 3) ? buffer[i / 4] : 0; buffer[i / 4] = v7 + (byte << (8 * (i & 3))); } } void FromUnsigned(BigBuffer& buffer, uint32_t value) { buffer[0] = value; buffer.SetCount(1); } uint32_t HighBitPos(const BigBuffer& buffer) { uint32_t index = buffer.Count(); if (index == 0) { return 0; } while (buffer[--index] == 0) { if (index == 0) { return 0; } } uint32_t mask = 0x80000000; uint32_t bitIndex = 32; while (bitIndex > 0) { bitIndex--; if (buffer[index] & mask) { return (index * 32) + bitIndex; } mask >>= 1; } return 0; } void InsertLowPart(uint64_t& value, uint32_t low) { value = (value << 32) | low; } uint64_t MakeLarge(uint32_t low, uint32_t high) { return low + (static_cast(high) << 32); } void Mul(BigBuffer& a, const BigBuffer& b, uint64_t c) { // TODO assertion c <= SMALL_BOUND uint64_t carry = 0; uint32_t i = 0; for (i = 0; carry || b.IsUsed(i); i++) { carry += b[i] * c; a[i] = ExtractLowPart(carry); } a.SetCount(i); } void Mul(BigBuffer& a, const BigBuffer& b, const BigBuffer& c, BigStack& stack) { auto& aa = stack.MakeDistinct(a, &a == &b || &a == &c); aa.Clear(); uint32_t i = 0; for (i = 0; b.IsUsed(i); i++) { uint64_t carry = 0; uint32_t j = 0; for (j = 0; c.IsUsed(j); j++) { carry += aa[i + j] + b[i] * static_cast(c[j]); aa[i + j] = ExtractLowPart(carry); } aa[i + j] = ExtractLowPart(carry); } stack.UnmakeDistinct(a, aa); } void SetOne(BigBuffer& buffer) { buffer.SetCount(1); buffer[0] = 1; } void SetZero(BigBuffer& buffer) { buffer.Clear(); } void Square(BigBuffer& a, const BigBuffer& b, BigStack& stack) { auto& aa = stack.MakeDistinct(a, &a == &b); aa.Clear(); uint32_t i = 0; for (i = 0; b.IsUsed(i); i++) { uint64_t carry = 0; uint32_t j = 0; for (j = 0; j <= i; j++) { auto mul = b[i] * static_cast(b[j]); auto add = mul + aa[i + j]; if (j < i) { carry += mul; } aa[i + j] = ExtractLowPartLargeSum(carry, add); } aa[i + j] = ExtractLowPart(carry); } stack.UnmakeDistinct(a, aa); } void Sub(BigBuffer& a, const BigBuffer& b, const BigBuffer& c) { uint64_t borrow = 0; uint32_t i = 0; for (i = 0; b.IsUsed(i) || c.IsUsed(i); i++) { borrow += b[i] - static_cast(c[i]); a[i] = ExtractLowPartSx(borrow); } a.SetCount(i); STORM_ASSERT(!borrow); } void ToBinaryAppend(TSGrowableArray& output, const BigBuffer& buffer) { for (uint32_t i = 0; i < buffer.Count() * 4; i++) { auto byte = buffer[i / 4] >> (8 * (i & 3)); if (byte || (i / 4) + 1 < buffer.Count()) { *output.New() = byte; } } } void ToBinary(TSGrowableArray& output, const BigBuffer& buffer) { output.SetCount(0); ToBinaryAppend(output, buffer); }