// Copyright 2010 the V8 project authors. All rights reserved. // Redistribution and use in source and binary forms, with or without // modification, are permitted provided that the following conditions are // met: // // * Redistributions of source code must retain the above copyright // notice, this list of conditions and the following disclaimer. // * Redistributions in binary form must reproduce the above // copyright notice, this list of conditions and the following // disclaimer in the documentation and/or other materials provided // with the distribution. // * Neither the name of Google Inc. nor the names of its // contributors may be used to endorse or promote products derived // from this software without specific prior written permission. // // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR // A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT // OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, // SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT // LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, // DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY // THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT // (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE // OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. #include #include #include "double-conversion/bignum.h" #include "cctest.h" #include "double-conversion/utils.h" using namespace double_conversion; static const int kBufferSize = 1024; static void AssignHexString(Bignum* bignum, const char* str) { bignum->AssignHexString(Vector(str, strlen(str))); } static void AssignDecimalString(Bignum* bignum, const char* str) { bignum->AssignDecimalString(Vector(str, strlen(str))); } TEST(Assign) { char buffer[kBufferSize]; Bignum bignum; Bignum bignum2; bignum.AssignUInt16(0); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("0", buffer); bignum.AssignUInt16(0xA); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("A", buffer); bignum.AssignUInt16(0x20); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("20", buffer); bignum.AssignUInt64(0); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("0", buffer); bignum.AssignUInt64(0xA); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("A", buffer); bignum.AssignUInt64(0x20); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("20", buffer); bignum.AssignUInt64(0x100); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("100", buffer); // The first real test, since this will not fit into one bigit. bignum.AssignUInt64(0x12345678); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("12345678", buffer); uint64_t big = DOUBLE_CONVERSION_UINT64_2PART_C(0xFFFFFFFF, FFFFFFFF); bignum.AssignUInt64(big); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("FFFFFFFFFFFFFFFF", buffer); big = DOUBLE_CONVERSION_UINT64_2PART_C(0x12345678, 9ABCDEF0); bignum.AssignUInt64(big); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("123456789ABCDEF0", buffer); bignum2.AssignBignum(bignum); CHECK(bignum2.ToHexString(buffer, kBufferSize)); CHECK_EQ("123456789ABCDEF0", buffer); AssignDecimalString(&bignum, "0"); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("0", buffer); AssignDecimalString(&bignum, "1"); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("1", buffer); AssignDecimalString(&bignum, "1234567890"); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("499602D2", buffer); AssignHexString(&bignum, "0"); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("0", buffer); AssignHexString(&bignum, "123456789ABCDEF0"); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("123456789ABCDEF0", buffer); } TEST(ShiftLeft) { char buffer[kBufferSize]; Bignum bignum; AssignHexString(&bignum, "0"); bignum.ShiftLeft(100); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("0", buffer); AssignHexString(&bignum, "1"); bignum.ShiftLeft(1); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("2", buffer); AssignHexString(&bignum, "1"); bignum.ShiftLeft(4); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("10", buffer); AssignHexString(&bignum, "1"); bignum.ShiftLeft(32); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("100000000", buffer); AssignHexString(&bignum, "1"); bignum.ShiftLeft(64); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("10000000000000000", buffer); AssignHexString(&bignum, "123456789ABCDEF"); bignum.ShiftLeft(64); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("123456789ABCDEF0000000000000000", buffer); bignum.ShiftLeft(1); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("2468ACF13579BDE0000000000000000", buffer); } TEST(AddUInt64) { char buffer[kBufferSize]; Bignum bignum; AssignHexString(&bignum, "0"); bignum.AddUInt64(0xA); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("A", buffer); AssignHexString(&bignum, "1"); bignum.AddUInt64(0xA); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("B", buffer); AssignHexString(&bignum, "1"); bignum.AddUInt64(0x100); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("101", buffer); AssignHexString(&bignum, "1"); bignum.AddUInt64(0xFFFF); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("10000", buffer); AssignHexString(&bignum, "FFFFFFF"); bignum.AddUInt64(0x1); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("10000000", buffer); AssignHexString(&bignum, "10000000000000000000000000000000000000000000"); bignum.AddUInt64(0xFFFF); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("1000000000000000000000000000000000000000FFFF", buffer); AssignHexString(&bignum, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"); bignum.AddUInt64(0x1); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("100000000000000000000000000000000000000000000", buffer); bignum.AssignUInt16(0x1); bignum.ShiftLeft(100); bignum.AddUInt64(1); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("10000000000000000000000001", buffer); bignum.AssignUInt16(0x1); bignum.ShiftLeft(100); bignum.AddUInt64(0xFFFF); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("1000000000000000000000FFFF", buffer); AssignHexString(&bignum, "0"); bignum.AddUInt64(DOUBLE_CONVERSION_UINT64_2PART_C(0xA, 00000000)); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("A00000000", buffer); AssignHexString(&bignum, "1"); bignum.AddUInt64(DOUBLE_CONVERSION_UINT64_2PART_C(0xA, 00000000)); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("A00000001", buffer); AssignHexString(&bignum, "1"); bignum.AddUInt64(DOUBLE_CONVERSION_UINT64_2PART_C(0x100, 00000000)); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("10000000001", buffer); AssignHexString(&bignum, "1"); bignum.AddUInt64(DOUBLE_CONVERSION_UINT64_2PART_C(0xFFFF, 00000000)); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("FFFF00000001", buffer); AssignHexString(&bignum, "FFFFFFF"); bignum.AddUInt64(DOUBLE_CONVERSION_UINT64_2PART_C(0x1, 00000000)); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("10FFFFFFF", buffer); AssignHexString(&bignum, "10000000000000000000000000000000000000000000"); bignum.AddUInt64(DOUBLE_CONVERSION_UINT64_2PART_C(0xFFFF, 00000000)); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("10000000000000000000000000000000FFFF00000000", buffer); AssignHexString(&bignum, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"); bignum.AddUInt64(DOUBLE_CONVERSION_UINT64_2PART_C(0x1, 00000000)); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("1000000000000000000000000000000000000FFFFFFFF", buffer); bignum.AssignUInt16(0x1); bignum.ShiftLeft(100); bignum.AddUInt64(DOUBLE_CONVERSION_UINT64_2PART_C(0x1, 00000000)); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("10000000000000000100000000", buffer); bignum.AssignUInt16(0x1); bignum.ShiftLeft(100); bignum.AddUInt64(DOUBLE_CONVERSION_UINT64_2PART_C(0xFFFF, 00000000)); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("10000000000000FFFF00000000", buffer); } TEST(AddBignum) { char buffer[kBufferSize]; Bignum bignum; Bignum other; AssignHexString(&other, "1"); AssignHexString(&bignum, "0"); bignum.AddBignum(other); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("1", buffer); AssignHexString(&bignum, "1"); bignum.AddBignum(other); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("2", buffer); AssignHexString(&bignum, "FFFFFFF"); bignum.AddBignum(other); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("10000000", buffer); AssignHexString(&bignum, "FFFFFFFFFFFFFF"); bignum.AddBignum(other); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("100000000000000", buffer); AssignHexString(&bignum, "10000000000000000000000000000000000000000000"); bignum.AddBignum(other); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("10000000000000000000000000000000000000000001", buffer); AssignHexString(&other, "1000000000000"); AssignHexString(&bignum, "1"); bignum.AddBignum(other); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("1000000000001", buffer); AssignHexString(&bignum, "FFFFFFF"); bignum.AddBignum(other); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("100000FFFFFFF", buffer); AssignHexString(&bignum, "10000000000000000000000000000000000000000000"); bignum.AddBignum(other); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("10000000000000000000000000000001000000000000", buffer); AssignHexString(&bignum, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"); bignum.AddBignum(other); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("1000000000000000000000000000000FFFFFFFFFFFF", buffer); bignum.AssignUInt16(0x1); bignum.ShiftLeft(100); bignum.AddBignum(other); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("10000000000001000000000000", buffer); other.ShiftLeft(64); CHECK(other.ToHexString(buffer, kBufferSize)); CHECK_EQ("10000000000000000000000000000", buffer); bignum.AssignUInt16(0x1); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("1", buffer); bignum.AddBignum(other); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("10000000000000000000000000001", buffer); AssignHexString(&bignum, "FFFFFFF"); bignum.AddBignum(other); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("1000000000000000000000FFFFFFF", buffer); AssignHexString(&bignum, "10000000000000000000000000000000000000000000"); bignum.AddBignum(other); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("10000000000000010000000000000000000000000000", buffer); AssignHexString(&bignum, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"); bignum.AddBignum(other); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("100000000000000FFFFFFFFFFFFFFFFFFFFFFFFFFFF", buffer); bignum.AssignUInt16(0x1); bignum.ShiftLeft(100); bignum.AddBignum(other); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("10010000000000000000000000000", buffer); } TEST(SubtractBignum) { char buffer[kBufferSize]; Bignum bignum; Bignum other; AssignHexString(&bignum, "1"); AssignHexString(&other, "0"); bignum.SubtractBignum(other); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("1", buffer); AssignHexString(&bignum, "2"); AssignHexString(&other, "0"); bignum.SubtractBignum(other); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("2", buffer); AssignHexString(&bignum, "10000000"); AssignHexString(&other, "1"); bignum.SubtractBignum(other); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("FFFFFFF", buffer); AssignHexString(&bignum, "100000000000000"); AssignHexString(&other, "1"); bignum.SubtractBignum(other); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("FFFFFFFFFFFFFF", buffer); AssignHexString(&bignum, "10000000000000000000000000000000000000000001"); AssignHexString(&other, "1"); bignum.SubtractBignum(other); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("10000000000000000000000000000000000000000000", buffer); AssignHexString(&bignum, "1000000000001"); AssignHexString(&other, "1000000000000"); bignum.SubtractBignum(other); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("1", buffer); AssignHexString(&bignum, "100000FFFFFFF"); AssignHexString(&other, "1000000000000"); bignum.SubtractBignum(other); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("FFFFFFF", buffer); AssignHexString(&bignum, "10000000000000000000000000000001000000000000"); AssignHexString(&other, "1000000000000"); bignum.SubtractBignum(other); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("10000000000000000000000000000000000000000000", buffer); AssignHexString(&bignum, "1000000000000000000000000000000FFFFFFFFFFFF"); AssignHexString(&other, "1000000000000"); bignum.SubtractBignum(other); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", buffer); bignum.AssignUInt16(0x1); bignum.ShiftLeft(100); // "10 0000 0000 0000 0000 0000 0000" AssignHexString(&other, "1000000000000"); bignum.SubtractBignum(other); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("FFFFFFFFFFFFF000000000000", buffer); AssignHexString(&other, "1000000000000"); other.ShiftLeft(48); // other == "1000000000000000000000000" bignum.AssignUInt16(0x1); bignum.ShiftLeft(100); // bignum == "10000000000000000000000000" bignum.SubtractBignum(other); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("F000000000000000000000000", buffer); other.AssignUInt16(0x1); other.ShiftLeft(35); // other == "800000000" AssignHexString(&bignum, "FFFFFFF"); bignum.ShiftLeft(60); // bignum = FFFFFFF000000000000000 bignum.SubtractBignum(other); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("FFFFFFEFFFFFF800000000", buffer); AssignHexString(&bignum, "10000000000000000000000000000000000000000000"); bignum.SubtractBignum(other); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF800000000", buffer); AssignHexString(&bignum, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"); bignum.SubtractBignum(other); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFF", buffer); } TEST(MultiplyUInt32) { char buffer[kBufferSize]; Bignum bignum; AssignHexString(&bignum, "0"); bignum.MultiplyByUInt32(0x25); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("0", buffer); AssignHexString(&bignum, "2"); bignum.MultiplyByUInt32(0x5); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("A", buffer); AssignHexString(&bignum, "10000000"); bignum.MultiplyByUInt32(0x9); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("90000000", buffer); AssignHexString(&bignum, "100000000000000"); bignum.MultiplyByUInt32(0xFFFF); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("FFFF00000000000000", buffer); AssignHexString(&bignum, "100000000000000"); bignum.MultiplyByUInt32(0xFFFFFFFF); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("FFFFFFFF00000000000000", buffer); AssignHexString(&bignum, "1234567ABCD"); bignum.MultiplyByUInt32(0xFFF); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("12333335552433", buffer); AssignHexString(&bignum, "1234567ABCD"); bignum.MultiplyByUInt32(0xFFFFFFF); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("12345679998A985433", buffer); AssignHexString(&bignum, "FFFFFFFFFFFFFFFF"); bignum.MultiplyByUInt32(0x2); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("1FFFFFFFFFFFFFFFE", buffer); AssignHexString(&bignum, "FFFFFFFFFFFFFFFF"); bignum.MultiplyByUInt32(0x4); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("3FFFFFFFFFFFFFFFC", buffer); AssignHexString(&bignum, "FFFFFFFFFFFFFFFF"); bignum.MultiplyByUInt32(0xF); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("EFFFFFFFFFFFFFFF1", buffer); AssignHexString(&bignum, "FFFFFFFFFFFFFFFF"); bignum.MultiplyByUInt32(0xFFFFFF); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("FFFFFEFFFFFFFFFF000001", buffer); bignum.AssignUInt16(0x1); bignum.ShiftLeft(100); // "10 0000 0000 0000 0000 0000 0000" bignum.MultiplyByUInt32(2); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("20000000000000000000000000", buffer); bignum.AssignUInt16(0x1); bignum.ShiftLeft(100); // "10 0000 0000 0000 0000 0000 0000" bignum.MultiplyByUInt32(0xF); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("F0000000000000000000000000", buffer); bignum.AssignUInt16(0xFFFF); bignum.ShiftLeft(100); // "FFFF0 0000 0000 0000 0000 0000 0000" bignum.MultiplyByUInt32(0xFFFF); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("FFFE00010000000000000000000000000", buffer); bignum.AssignUInt16(0xFFFF); bignum.ShiftLeft(100); // "FFFF0 0000 0000 0000 0000 0000 0000" bignum.MultiplyByUInt32(0xFFFFFFFF); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("FFFEFFFF00010000000000000000000000000", buffer); bignum.AssignUInt16(0xFFFF); bignum.ShiftLeft(100); // "FFFF0 0000 0000 0000 0000 0000 0000" bignum.MultiplyByUInt32(0xFFFFFFFF); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("FFFEFFFF00010000000000000000000000000", buffer); AssignDecimalString(&bignum, "15611230384529777"); bignum.MultiplyByUInt32(10000000); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("210EDD6D4CDD2580EE80", buffer); } TEST(MultiplyUInt64) { char buffer[kBufferSize]; Bignum bignum; AssignHexString(&bignum, "0"); bignum.MultiplyByUInt64(0x25); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("0", buffer); AssignHexString(&bignum, "2"); bignum.MultiplyByUInt64(0x5); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("A", buffer); AssignHexString(&bignum, "10000000"); bignum.MultiplyByUInt64(0x9); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("90000000", buffer); AssignHexString(&bignum, "100000000000000"); bignum.MultiplyByUInt64(0xFFFF); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("FFFF00000000000000", buffer); AssignHexString(&bignum, "100000000000000"); bignum.MultiplyByUInt64(DOUBLE_CONVERSION_UINT64_2PART_C(0xFFFFFFFF, FFFFFFFF)); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("FFFFFFFFFFFFFFFF00000000000000", buffer); AssignHexString(&bignum, "1234567ABCD"); bignum.MultiplyByUInt64(0xFFF); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("12333335552433", buffer); AssignHexString(&bignum, "1234567ABCD"); bignum.MultiplyByUInt64(DOUBLE_CONVERSION_UINT64_2PART_C(0xFF, FFFFFFFF)); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("1234567ABCBDCBA985433", buffer); AssignHexString(&bignum, "FFFFFFFFFFFFFFFF"); bignum.MultiplyByUInt64(0x2); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("1FFFFFFFFFFFFFFFE", buffer); AssignHexString(&bignum, "FFFFFFFFFFFFFFFF"); bignum.MultiplyByUInt64(0x4); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("3FFFFFFFFFFFFFFFC", buffer); AssignHexString(&bignum, "FFFFFFFFFFFFFFFF"); bignum.MultiplyByUInt64(0xF); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("EFFFFFFFFFFFFFFF1", buffer); AssignHexString(&bignum, "FFFFFFFFFFFFFFFF"); bignum.MultiplyByUInt64(DOUBLE_CONVERSION_UINT64_2PART_C(0xFFFFFFFF, FFFFFFFF)); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("FFFFFFFFFFFFFFFE0000000000000001", buffer); bignum.AssignUInt16(0x1); bignum.ShiftLeft(100); // "10 0000 0000 0000 0000 0000 0000" bignum.MultiplyByUInt64(2); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("20000000000000000000000000", buffer); bignum.AssignUInt16(0x1); bignum.ShiftLeft(100); // "10 0000 0000 0000 0000 0000 0000" bignum.MultiplyByUInt64(0xF); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("F0000000000000000000000000", buffer); bignum.AssignUInt16(0xFFFF); bignum.ShiftLeft(100); // "FFFF0 0000 0000 0000 0000 0000 0000" bignum.MultiplyByUInt64(0xFFFF); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("FFFE00010000000000000000000000000", buffer); bignum.AssignUInt16(0xFFFF); bignum.ShiftLeft(100); // "FFFF0 0000 0000 0000 0000 0000 0000" bignum.MultiplyByUInt64(0xFFFFFFFF); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("FFFEFFFF00010000000000000000000000000", buffer); bignum.AssignUInt16(0xFFFF); bignum.ShiftLeft(100); // "FFFF0 0000 0000 0000 0000 0000 0000" bignum.MultiplyByUInt64(DOUBLE_CONVERSION_UINT64_2PART_C(0xFFFFFFFF, FFFFFFFF)); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("FFFEFFFFFFFFFFFF00010000000000000000000000000", buffer); AssignDecimalString(&bignum, "15611230384529777"); bignum.MultiplyByUInt64(DOUBLE_CONVERSION_UINT64_2PART_C(0x8ac72304, 89e80000)); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("1E10EE4B11D15A7F3DE7F3C7680000", buffer); } TEST(MultiplyPowerOfTen) { char buffer[kBufferSize]; Bignum bignum; AssignDecimalString(&bignum, "1234"); bignum.MultiplyByPowerOfTen(1); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("3034", buffer); AssignDecimalString(&bignum, "1234"); bignum.MultiplyByPowerOfTen(2); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("1E208", buffer); AssignDecimalString(&bignum, "1234"); bignum.MultiplyByPowerOfTen(3); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("12D450", buffer); AssignDecimalString(&bignum, "1234"); bignum.MultiplyByPowerOfTen(4); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("BC4B20", buffer); AssignDecimalString(&bignum, "1234"); bignum.MultiplyByPowerOfTen(5); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("75AEF40", buffer); AssignDecimalString(&bignum, "1234"); bignum.MultiplyByPowerOfTen(6); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("498D5880", buffer); AssignDecimalString(&bignum, "1234"); bignum.MultiplyByPowerOfTen(7); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("2DF857500", buffer); AssignDecimalString(&bignum, "1234"); bignum.MultiplyByPowerOfTen(8); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("1CBB369200", buffer); AssignDecimalString(&bignum, "1234"); bignum.MultiplyByPowerOfTen(9); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("11F5021B400", buffer); AssignDecimalString(&bignum, "1234"); bignum.MultiplyByPowerOfTen(10); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("B3921510800", buffer); AssignDecimalString(&bignum, "1234"); bignum.MultiplyByPowerOfTen(11); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("703B4D2A5000", buffer); AssignDecimalString(&bignum, "1234"); bignum.MultiplyByPowerOfTen(12); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("4625103A72000", buffer); AssignDecimalString(&bignum, "1234"); bignum.MultiplyByPowerOfTen(13); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("2BD72A24874000", buffer); AssignDecimalString(&bignum, "1234"); bignum.MultiplyByPowerOfTen(14); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("1B667A56D488000", buffer); AssignDecimalString(&bignum, "1234"); bignum.MultiplyByPowerOfTen(15); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("11200C7644D50000", buffer); AssignDecimalString(&bignum, "1234"); bignum.MultiplyByPowerOfTen(16); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("AB407C9EB0520000", buffer); AssignDecimalString(&bignum, "1234"); bignum.MultiplyByPowerOfTen(17); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("6B084DE32E3340000", buffer); AssignDecimalString(&bignum, "1234"); bignum.MultiplyByPowerOfTen(18); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("42E530ADFCE0080000", buffer); AssignDecimalString(&bignum, "1234"); bignum.MultiplyByPowerOfTen(19); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("29CF3E6CBE0C0500000", buffer); AssignDecimalString(&bignum, "1234"); bignum.MultiplyByPowerOfTen(20); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("1A218703F6C783200000", buffer); AssignDecimalString(&bignum, "1234"); bignum.MultiplyByPowerOfTen(21); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("1054F4627A3CB1F400000", buffer); AssignDecimalString(&bignum, "1234"); bignum.MultiplyByPowerOfTen(22); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("A3518BD8C65EF38800000", buffer); AssignDecimalString(&bignum, "1234"); bignum.MultiplyByPowerOfTen(23); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("6612F7677BFB5835000000", buffer); AssignDecimalString(&bignum, "1234"); bignum.MultiplyByPowerOfTen(24); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("3FCBDAA0AD7D17212000000", buffer); AssignDecimalString(&bignum, "1234"); bignum.MultiplyByPowerOfTen(25); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("27DF68A46C6E2E74B4000000", buffer); AssignDecimalString(&bignum, "1234"); bignum.MultiplyByPowerOfTen(26); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("18EBA166C3C4DD08F08000000", buffer); AssignDecimalString(&bignum, "1234"); bignum.MultiplyByPowerOfTen(27); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("F9344E03A5B0A259650000000", buffer); AssignDecimalString(&bignum, "1234"); bignum.MultiplyByPowerOfTen(28); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("9BC0B0C2478E6577DF20000000", buffer); AssignDecimalString(&bignum, "1234"); bignum.MultiplyByPowerOfTen(29); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("61586E796CB8FF6AEB740000000", buffer); AssignDecimalString(&bignum, "1234"); bignum.MultiplyByPowerOfTen(30); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("3CD7450BE3F39FA2D32880000000", buffer); AssignDecimalString(&bignum, "1234"); bignum.MultiplyByPowerOfTen(31); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("26068B276E7843C5C3F9500000000", buffer); AssignDecimalString(&bignum, "1234"); bignum.MultiplyByPowerOfTen(50); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("149D1B4CFED03B23AB5F4E1196EF45C08000000000000", buffer); AssignDecimalString(&bignum, "1234"); bignum.MultiplyByPowerOfTen(100); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("5827249F27165024FBC47DFCA9359BF316332D1B91ACEECF471FBAB06D9B2" "0000000000000000000000000", buffer); AssignDecimalString(&bignum, "1234"); bignum.MultiplyByPowerOfTen(200); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("64C1F5C06C3816AFBF8DAFD5A3D756365BB0FD020E6F084E759C1F7C99E4F" "55B9ACC667CEC477EB958C2AEEB3C6C19BA35A1AD30B35C51EB72040920000" "0000000000000000000000000000000000000000000000", buffer); AssignDecimalString(&bignum, "1234"); bignum.MultiplyByPowerOfTen(500); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("96741A625EB5D7C91039FEB5C5ACD6D9831EDA5B083D800E6019442C8C8223" "3EAFB3501FE2058062221E15121334928880827DEE1EC337A8B26489F3A40A" "CB440A2423734472D10BFCE886F41B3AF9F9503013D86D088929CA86EEB4D8" "B9C831D0BD53327B994A0326227CFD0ECBF2EB48B02387AAE2D4CCCDF1F1A1" "B8CC4F1FA2C56AD40D0E4DAA9C28CDBF0A549098EA13200000000000000000" "00000000000000000000000000000000000000000000000000000000000000" "0000000000000000000000000000000000000000000000", buffer); AssignDecimalString(&bignum, "1234"); bignum.MultiplyByPowerOfTen(1000); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("1258040F99B1CD1CC9819C676D413EA50E4A6A8F114BB0C65418C62D399B81" "6361466CA8E095193E1EE97173553597C96673AF67FAFE27A66E7EF2E5EF2E" "E3F5F5070CC17FE83BA53D40A66A666A02F9E00B0E11328D2224B8694C7372" "F3D536A0AD1985911BD361496F268E8B23112500EAF9B88A9BC67B2AB04D38" "7FEFACD00F5AF4F764F9ABC3ABCDE54612DE38CD90CB6647CA389EA0E86B16" "BF7A1F34086E05ADBE00BD1673BE00FAC4B34AF1091E8AD50BA675E0381440" "EA8E9D93E75D816BAB37C9844B1441C38FC65CF30ABB71B36433AF26DD97BD" "ABBA96C03B4919B8F3515B92826B85462833380DC193D79F69D20DD6038C99" "6114EF6C446F0BA28CC772ACBA58B81C04F8FFDE7B18C4E5A3ABC51E637FDF" "6E37FDFF04C940919390F4FF92000000000000000000000000000000000000" "00000000000000000000000000000000000000000000000000000000000000" "00000000000000000000000000000000000000000000000000000000000000" "00000000000000000000000000000000000000000000000000000000000000" "0000000000000000000000000000", buffer); Bignum bignum2; AssignHexString(&bignum2, "3DA774C07FB5DF54284D09C675A492165B830D5DAAEB2A7501" "DA17CF9DFA1CA2282269F92A25A97314296B717E3DCBB9FE17" "41A842FE2913F540F40796F2381155763502C58B15AF7A7F88" "6F744C9164FF409A28F7FA0C41F89ED79C1BE9F322C8578B97" "841F1CBAA17D901BE1230E3C00E1C643AF32638B5674E01FEA" "96FC90864E621B856A9E1CE56E6EB545B9C2F8F0CC10DDA88D" "CC6D282605F8DB67044F2DFD3695E7BA63877AE16701536AE6" "567C794D0BFE338DFBB42D92D4215AF3BB22BF0A8B283FDDC2" "C667A10958EA6D2"); CHECK(bignum2.ToHexString(buffer, kBufferSize)); CHECK_EQ("3DA774C07FB5DF54284D09C675A492165B830D5DAAEB2A7501" "DA17CF9DFA1CA2282269F92A25A97314296B717E3DCBB9FE17" "41A842FE2913F540F40796F2381155763502C58B15AF7A7F88" "6F744C9164FF409A28F7FA0C41F89ED79C1BE9F322C8578B97" "841F1CBAA17D901BE1230E3C00E1C643AF32638B5674E01FEA" "96FC90864E621B856A9E1CE56E6EB545B9C2F8F0CC10DDA88D" "CC6D282605F8DB67044F2DFD3695E7BA63877AE16701536AE6" "567C794D0BFE338DFBB42D92D4215AF3BB22BF0A8B283FDDC2" "C667A10958EA6D2", buffer); bignum.AssignBignum(bignum2); bignum.MultiplyByPowerOfTen(1); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("2688A8F84FD1AB949930261C0986DB4DF931E85A8AD2FA8921284EE1C2BC51" "E55915823BBA5789E7EC99E326EEE69F543ECE890929DED9AC79489884BE57" "630AD569E121BB76ED8DAC8FB545A8AFDADF1F8860599AFC47A93B6346C191" "7237F5BD36B73EB29371F4A4EE7A116CB5E8E5808D1BEA4D7F7E3716090C13" "F29E5DDA53F0FD513362A2D20F6505314B9419DB967F8A8A89589FC43917C3" "BB892062B17CBE421DB0D47E34ACCCE060D422CFF60DCBD0277EE038BD509C" "7BC494D8D854F5B76696F927EA99BC00C4A5D7928434", buffer); bignum.AssignBignum(bignum2); bignum.MultiplyByPowerOfTen(2); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("1815699B31E30B3CDFBE17D185F44910BBBF313896C3DC95B4B9314D19B5B32" "F57AD71655476B630F3E02DF855502394A74115A5BA2B480BCBCD5F52F6F69D" "E6C5622CB5152A54788BD9D14B896DE8CB73B53C3800DDACC9C51E0C38FAE76" "2F9964232872F9C2738E7150C4AE3F1B18F70583172706FAEE26DC5A78C77A2" "FAA874769E52C01DA5C3499F233ECF3C90293E0FB69695D763DAA3AEDA5535B" "43DAEEDF6E9528E84CEE0EC000C3C8495C1F9C89F6218AF4C23765261CD5ADD" "0787351992A01E5BB8F2A015807AE7A6BB92A08", buffer); bignum.AssignBignum(bignum2); bignum.MultiplyByPowerOfTen(5); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("5E13A4863ADEE3E5C9FE8D0A73423D695D62D8450CED15A8C9F368952C6DC3" "F0EE7D82F3D1EFB7AF38A3B3920D410AFCAD563C8F5F39116E141A3C5C14B3" "58CD73077EA35AAD59F6E24AD98F10D5555ABBFBF33AC361EAF429FD5FBE94" "17DA9EF2F2956011F9F93646AA38048A681D984ED88127073443247CCC167C" "B354A32206EF5A733E73CF82D795A1AD598493211A6D613C39515E0E0F6304" "DCD9C810F3518C7F6A7CB6C81E99E02FCC65E8FDB7B7AE97306CC16A8631CE" "0A2AEF6568276BE4C176964A73C153FDE018E34CB4C2F40", buffer); bignum.AssignBignum(bignum2); bignum.MultiplyByPowerOfTen(10); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("8F8CB8EB51945A7E815809F6121EF2F4E61EF3405CD9432CAD2709749EEAFD" "1B81E843F14A3667A7BDCCC9E0BB795F63CDFDB62844AC7438976C885A0116" "29607DA54F9C023CC366570B7637ED0F855D931752038A614922D0923E382C" "B8E5F6C975672DB76E0DE471937BB9EDB11E28874F1C122D5E1EF38CECE9D0" "0723056BCBD4F964192B76830634B1D322B7EB0062F3267E84F5C824343A77" "4B7DCEE6DD464F01EBDC8C671BB18BB4EF4300A42474A6C77243F2A12B03BF" "0443C38A1C0D2701EDB393135AE0DEC94211F9D4EB51F990800", buffer); bignum.AssignBignum(bignum2); bignum.MultiplyByPowerOfTen(50); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("107A8BE345E24407372FC1DE442CBA696BC23C4FFD5B4BDFD9E5C39559815" "86628CF8472D2D589F2FC2BAD6E0816EC72CBF85CCA663D8A1EC6C51076D8" "2D247E6C26811B7EC4D4300FB1F91028DCB7B2C4E7A60C151161AA7E65E79" "B40917B12B2B5FBE7745984D4E8EFA31F9AE6062427B068B144A9CB155873" "E7C0C9F0115E5AC72DC5A73C4796DB970BF9205AB8C77A6996EB1B417F9D1" "6232431E6313C392203601B9C22CC10DDA88DCC6D282605F8DB67044F2DFD" "3695E7BA63877AE16701536AE6567C794D0BFE338DFBB42D924CF964BD2C0" "F586E03A2FCD35A408000000000000", buffer); bignum.AssignBignum(bignum2); bignum.MultiplyByPowerOfTen(100); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("46784A90ACD0ED3E7759CC585FB32D36EB6034A6F78D92604E3BAA5ED3D8B" "6E60E854439BE448897FB4B7EA5A3D873AA0FCB3CFFD80D0530880E45F511" "722A50CE7E058B5A6F5464DB7500E34984EE3202A9441F44FA1554C0CEA96" "B438A36F25E7C9D56D71AE2CD313EC37534DA299AC0854FC48591A7CF3171" "31265AA4AE62DE32344CE7BEEEF894AE686A2DAAFE5D6D9A10971FFD9C064" "5079B209E1048F58B5192D41D84336AC4C8C489EEF00939CFC9D55C122036" "01B9C22CC10DDA88DCC6D282605F8DB67044F2DFD3695E7BA3F67B96D3A32" "E11FB5561B68744C4035B0800DC166D49D98E3FD1D5BB2000000000000000" "0000000000", buffer); bignum.AssignBignum(bignum2); bignum.MultiplyByPowerOfTen(200); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("508BD351221DF139D72D88CDC0416845A53EE2D0E6B98352509A9AC312F8C" "6CB1A144889416201E0B6CE66EA3EBE259B5FD79ECFC1FD77963CE516CC7E" "2FE73D4B5B710C19F6BCB092C7A2FD76286543B8DBD2C596DFF2C896720BA" "DFF7BC9C366ACEA3A880AEC287C5E6207DF2739B5326FC19D773BD830B109" "ED36C7086544BF8FDB9D4B73719C2B5BC2F571A5937EC46876CD428281F6B" "F287E1E07F25C1B1D46BC37324FF657A8B2E0071DB83B86123CA34004F406" "001082D7945E90C6E8C9A9FEC2B44BE0DDA46E9F52B152E4D1336D2FCFBC9" "96E30CA0082256737365158FE36482AA7EB9DAF2AB128F10E7551A3CD5BE6" "0A922F3A7D5EED38B634A7EC95BCF7021BA6820A292000000000000000000" "00000000000000000000000000000000", buffer); bignum.AssignBignum(bignum2); bignum.MultiplyByPowerOfTen(500); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("7845F900E475B5086885BAAAE67C8E85185ACFE4633727F82A4B06B5582AC" "BE933C53357DA0C98C20C5AC900C4D76A97247DF52B79F48F9E35840FB715" "D392CE303E22622B0CF82D9471B398457DD3196F639CEE8BBD2C146873841" "F0699E6C41F04FC7A54B48CEB995BEB6F50FE81DE9D87A8D7F849CC523553" "7B7BBBC1C7CAAFF6E9650BE03B308C6D31012AEF9580F70D3EE2083ADE126" "8940FA7D6308E239775DFD2F8C97FF7EBD525DAFA6512216F7047A62A93DC" "38A0165BDC67E250DCC96A0181DE935A70B38704DC71819F02FC5261FF7E1" "E5F11907678B0A3E519FF4C10A867B0C26CE02BE6960BA8621A87303C101C" "3F88798BB9F7739655946F8B5744E6B1EAF10B0C5621330F0079209033C69" "20DE2E2C8D324F0624463735D482BF291926C22A910F5B80FA25170B6B57D" "8D5928C7BCA3FE87461275F69BD5A1B83181DAAF43E05FC3C72C4E93111B6" "6205EBF49B28FEDFB7E7526CBDA658A332000000000000000000000000000" "0000000000000000000000000000000000000000000000000000000000000" "0000000000000000000000000000000000000", buffer); } TEST(DivideModuloIntBignum) { char buffer[kBufferSize]; Bignum bignum; Bignum other; Bignum third; bignum.AssignUInt16(10); other.AssignUInt16(2); CHECK_EQ(5, bignum.DivideModuloIntBignum(other)); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("0", buffer); bignum.AssignUInt16(10); bignum.ShiftLeft(500); other.AssignUInt16(2); other.ShiftLeft(500); CHECK_EQ(5, bignum.DivideModuloIntBignum(other)); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("0", buffer); bignum.AssignUInt16(11); other.AssignUInt16(2); CHECK_EQ(5, bignum.DivideModuloIntBignum(other)); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("1", buffer); bignum.AssignUInt16(10); bignum.ShiftLeft(500); other.AssignUInt16(1); bignum.AddBignum(other); other.AssignUInt16(2); other.ShiftLeft(500); CHECK_EQ(5, bignum.DivideModuloIntBignum(other)); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("1", buffer); bignum.AssignUInt16(10); bignum.ShiftLeft(500); other.AssignBignum(bignum); bignum.MultiplyByUInt32(0x1234); third.AssignUInt16(0xFFF); bignum.AddBignum(third); CHECK_EQ(0x1234, bignum.DivideModuloIntBignum(other)); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("FFF", buffer); bignum.AssignUInt16(10); AssignHexString(&other, "1234567890"); CHECK_EQ(0, bignum.DivideModuloIntBignum(other)); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("A", buffer); AssignHexString(&bignum, "12345678"); AssignHexString(&other, "3789012"); CHECK_EQ(5, bignum.DivideModuloIntBignum(other)); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("D9861E", buffer); AssignHexString(&bignum, "70000001"); AssignHexString(&other, "1FFFFFFF"); CHECK_EQ(3, bignum.DivideModuloIntBignum(other)); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("10000004", buffer); AssignHexString(&bignum, "28000000"); AssignHexString(&other, "12A05F20"); CHECK_EQ(2, bignum.DivideModuloIntBignum(other)); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("2BF41C0", buffer); bignum.AssignUInt16(10); bignum.ShiftLeft(500); other.AssignBignum(bignum); bignum.MultiplyByUInt32(0x1234); third.AssignUInt16(0xFFF); other.SubtractBignum(third); CHECK_EQ(0x1234, bignum.DivideModuloIntBignum(other)); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("1232DCC", buffer); CHECK_EQ(0, bignum.DivideModuloIntBignum(other)); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("1232DCC", buffer); } TEST(Compare) { Bignum bignum1; Bignum bignum2; bignum1.AssignUInt16(1); bignum2.AssignUInt16(1); CHECK_EQ(0, Bignum::Compare(bignum1, bignum2)); CHECK(Bignum::Equal(bignum1, bignum2)); CHECK(Bignum::LessEqual(bignum1, bignum2)); CHECK(!Bignum::Less(bignum1, bignum2)); bignum1.AssignUInt16(0); bignum2.AssignUInt16(1); CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2)); CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1)); CHECK(!Bignum::Equal(bignum1, bignum2)); CHECK(!Bignum::Equal(bignum2, bignum1)); CHECK(Bignum::LessEqual(bignum1, bignum2)); CHECK(!Bignum::LessEqual(bignum2, bignum1)); CHECK(Bignum::Less(bignum1, bignum2)); CHECK(!Bignum::Less(bignum2, bignum1)); AssignHexString(&bignum1, "1234567890ABCDEF12345"); AssignHexString(&bignum2, "1234567890ABCDEF12345"); CHECK_EQ(0, Bignum::Compare(bignum1, bignum2)); AssignHexString(&bignum1, "1234567890ABCDEF12345"); AssignHexString(&bignum2, "1234567890ABCDEF12346"); CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2)); CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1)); AssignHexString(&bignum1, "1234567890ABCDEF12345"); bignum1.ShiftLeft(500); AssignHexString(&bignum2, "1234567890ABCDEF12345"); bignum2.ShiftLeft(500); CHECK_EQ(0, Bignum::Compare(bignum1, bignum2)); AssignHexString(&bignum1, "1234567890ABCDEF12345"); bignum1.ShiftLeft(500); AssignHexString(&bignum2, "1234567890ABCDEF12346"); bignum2.ShiftLeft(500); CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2)); CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1)); bignum1.AssignUInt16(1); bignum1.ShiftLeft(64); AssignHexString(&bignum2, "10000000000000000"); CHECK_EQ(0, Bignum::Compare(bignum1, bignum2)); CHECK_EQ(0, Bignum::Compare(bignum2, bignum1)); bignum1.AssignUInt16(1); bignum1.ShiftLeft(64); AssignHexString(&bignum2, "10000000000000001"); CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2)); CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1)); bignum1.AssignUInt16(1); bignum1.ShiftLeft(96); AssignHexString(&bignum2, "10000000000000001"); bignum2.ShiftLeft(32); CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2)); CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1)); AssignHexString(&bignum1, "FFFFFFFFFFFFFFFF"); bignum2.AssignUInt16(1); bignum2.ShiftLeft(64); CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2)); CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1)); AssignHexString(&bignum1, "FFFFFFFFFFFFFFFF"); bignum1.ShiftLeft(32); bignum2.AssignUInt16(1); bignum2.ShiftLeft(96); CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2)); CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1)); AssignHexString(&bignum1, "FFFFFFFFFFFFFFFF"); bignum1.ShiftLeft(32); bignum2.AssignUInt16(1); bignum2.ShiftLeft(95); CHECK_EQ(+1, Bignum::Compare(bignum1, bignum2)); CHECK_EQ(-1, Bignum::Compare(bignum2, bignum1)); AssignHexString(&bignum1, "FFFFFFFFFFFFFFFF"); bignum1.ShiftLeft(32); bignum2.AssignUInt16(1); bignum2.ShiftLeft(100); CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2)); CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1)); AssignHexString(&bignum1, "100000000000000"); bignum2.AssignUInt16(1); bignum2.ShiftLeft(14*4); CHECK_EQ(0, Bignum::Compare(bignum1, bignum2)); CHECK_EQ(0, Bignum::Compare(bignum2, bignum1)); AssignHexString(&bignum1, "100000000000001"); bignum2.AssignUInt16(1); bignum2.ShiftLeft(14*4); CHECK_EQ(+1, Bignum::Compare(bignum1, bignum2)); CHECK_EQ(-1, Bignum::Compare(bignum2, bignum1)); AssignHexString(&bignum1, "200000000000000"); bignum2.AssignUInt16(3); bignum2.ShiftLeft(14*4); CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2)); CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1)); } TEST(PlusCompare) { Bignum a; Bignum b; Bignum c; a.AssignUInt16(1); b.AssignUInt16(0); c.AssignUInt16(1); CHECK_EQ(0, Bignum::PlusCompare(a, b, c)); CHECK(Bignum::PlusEqual(a, b, c)); CHECK(Bignum::PlusLessEqual(a, b, c)); CHECK(!Bignum::PlusLess(a, b, c)); a.AssignUInt16(0); b.AssignUInt16(0); c.AssignUInt16(1); CHECK_EQ(-1, Bignum::PlusCompare(a, b, c)); CHECK_EQ(+1, Bignum::PlusCompare(c, b, a)); CHECK(!Bignum::PlusEqual(a, b, c)); CHECK(!Bignum::PlusEqual(c, b, a)); CHECK(Bignum::PlusLessEqual(a, b, c)); CHECK(!Bignum::PlusLessEqual(c, b, a)); CHECK(Bignum::PlusLess(a, b, c)); CHECK(!Bignum::PlusLess(c, b, a)); AssignHexString(&a, "1234567890ABCDEF12345"); b.AssignUInt16(1); AssignHexString(&c, "1234567890ABCDEF12345"); CHECK_EQ(+1, Bignum::PlusCompare(a, b, c)); AssignHexString(&a, "1234567890ABCDEF12344"); b.AssignUInt16(1); AssignHexString(&c, "1234567890ABCDEF12345"); CHECK_EQ(0, Bignum::PlusCompare(a, b, c)); AssignHexString(&a, "1234567890"); a.ShiftLeft(11*4); AssignHexString(&b, "ABCDEF12345"); AssignHexString(&c, "1234567890ABCDEF12345"); CHECK_EQ(0, Bignum::PlusCompare(a, b, c)); AssignHexString(&a, "1234567890"); a.ShiftLeft(11*4); AssignHexString(&b, "ABCDEF12344"); AssignHexString(&c, "1234567890ABCDEF12345"); CHECK_EQ(-1, Bignum::PlusCompare(a, b, c)); AssignHexString(&a, "1234567890"); a.ShiftLeft(11*4); AssignHexString(&b, "ABCDEF12346"); AssignHexString(&c, "1234567890ABCDEF12345"); CHECK_EQ(1, Bignum::PlusCompare(a, b, c)); AssignHexString(&a, "1234567891"); a.ShiftLeft(11*4); AssignHexString(&b, "ABCDEF12345"); AssignHexString(&c, "1234567890ABCDEF12345"); CHECK_EQ(1, Bignum::PlusCompare(a, b, c)); AssignHexString(&a, "1234567889"); a.ShiftLeft(11*4); AssignHexString(&b, "ABCDEF12345"); AssignHexString(&c, "1234567890ABCDEF12345"); CHECK_EQ(-1, Bignum::PlusCompare(a, b, c)); AssignHexString(&a, "1234567890"); a.ShiftLeft(11*4 + 32); AssignHexString(&b, "ABCDEF12345"); b.ShiftLeft(32); AssignHexString(&c, "1234567890ABCDEF12345"); c.ShiftLeft(32); CHECK_EQ(0, Bignum::PlusCompare(a, b, c)); AssignHexString(&a, "1234567890"); a.ShiftLeft(11*4 + 32); AssignHexString(&b, "ABCDEF12344"); b.ShiftLeft(32); AssignHexString(&c, "1234567890ABCDEF12345"); c.ShiftLeft(32); CHECK_EQ(-1, Bignum::PlusCompare(a, b, c)); AssignHexString(&a, "1234567890"); a.ShiftLeft(11*4 + 32); AssignHexString(&b, "ABCDEF12346"); b.ShiftLeft(32); AssignHexString(&c, "1234567890ABCDEF12345"); c.ShiftLeft(32); CHECK_EQ(1, Bignum::PlusCompare(a, b, c)); AssignHexString(&a, "1234567891"); a.ShiftLeft(11*4 + 32); AssignHexString(&b, "ABCDEF12345"); b.ShiftLeft(32); AssignHexString(&c, "1234567890ABCDEF12345"); c.ShiftLeft(32); CHECK_EQ(1, Bignum::PlusCompare(a, b, c)); AssignHexString(&a, "1234567889"); a.ShiftLeft(11*4 + 32); AssignHexString(&b, "ABCDEF12345"); b.ShiftLeft(32); AssignHexString(&c, "1234567890ABCDEF12345"); c.ShiftLeft(32); CHECK_EQ(-1, Bignum::PlusCompare(a, b, c)); AssignHexString(&a, "1234567890"); a.ShiftLeft(11*4 + 32); AssignHexString(&b, "ABCDEF12345"); b.ShiftLeft(32); AssignHexString(&c, "1234567890ABCDEF1234500000000"); CHECK_EQ(0, Bignum::PlusCompare(a, b, c)); AssignHexString(&a, "1234567890"); a.ShiftLeft(11*4 + 32); AssignHexString(&b, "ABCDEF12344"); b.ShiftLeft(32); AssignHexString(&c, "1234567890ABCDEF1234500000000"); CHECK_EQ(-1, Bignum::PlusCompare(a, b, c)); AssignHexString(&a, "1234567890"); a.ShiftLeft(11*4 + 32); AssignHexString(&b, "ABCDEF12346"); b.ShiftLeft(32); AssignHexString(&c, "1234567890ABCDEF1234500000000"); CHECK_EQ(1, Bignum::PlusCompare(a, b, c)); AssignHexString(&a, "1234567891"); a.ShiftLeft(11*4 + 32); AssignHexString(&b, "ABCDEF12345"); b.ShiftLeft(32); AssignHexString(&c, "1234567890ABCDEF1234500000000"); CHECK_EQ(1, Bignum::PlusCompare(a, b, c)); AssignHexString(&a, "1234567889"); a.ShiftLeft(11*4 + 32); AssignHexString(&b, "ABCDEF12345"); b.ShiftLeft(32); AssignHexString(&c, "1234567890ABCDEF1234500000000"); CHECK_EQ(-1, Bignum::PlusCompare(a, b, c)); AssignHexString(&a, "1234567890"); a.ShiftLeft(11*4 + 32); AssignHexString(&b, "ABCDEF12345"); AssignHexString(&c, "123456789000000000ABCDEF12345"); CHECK_EQ(0, Bignum::PlusCompare(a, b, c)); AssignHexString(&a, "1234567890"); a.ShiftLeft(11*4 + 32); AssignHexString(&b, "ABCDEF12346"); AssignHexString(&c, "123456789000000000ABCDEF12345"); CHECK_EQ(1, Bignum::PlusCompare(a, b, c)); AssignHexString(&a, "1234567890"); a.ShiftLeft(11*4 + 32); AssignHexString(&b, "ABCDEF12344"); AssignHexString(&c, "123456789000000000ABCDEF12345"); CHECK_EQ(-1, Bignum::PlusCompare(a, b, c)); AssignHexString(&a, "1234567890"); a.ShiftLeft(11*4 + 32); AssignHexString(&b, "ABCDEF12345"); b.ShiftLeft(16); AssignHexString(&c, "12345678900000ABCDEF123450000"); CHECK_EQ(0, Bignum::PlusCompare(a, b, c)); AssignHexString(&a, "1234567890"); a.ShiftLeft(11*4 + 32); AssignHexString(&b, "ABCDEF12344"); b.ShiftLeft(16); AssignHexString(&c, "12345678900000ABCDEF123450000"); CHECK_EQ(-1, Bignum::PlusCompare(a, b, c)); AssignHexString(&a, "1234567890"); a.ShiftLeft(11*4 + 32); AssignHexString(&b, "ABCDEF12345"); b.ShiftLeft(16); AssignHexString(&c, "12345678900000ABCDEF123450001"); CHECK_EQ(-1, Bignum::PlusCompare(a, b, c)); AssignHexString(&a, "1234567890"); a.ShiftLeft(11*4 + 32); AssignHexString(&b, "ABCDEF12346"); b.ShiftLeft(16); AssignHexString(&c, "12345678900000ABCDEF123450000"); CHECK_EQ(+1, Bignum::PlusCompare(a, b, c)); } TEST(Square) { Bignum bignum; char buffer[kBufferSize]; bignum.AssignUInt16(1); bignum.Square(); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("1", buffer); bignum.AssignUInt16(2); bignum.Square(); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("4", buffer); bignum.AssignUInt16(10); bignum.Square(); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("64", buffer); AssignHexString(&bignum, "FFFFFFF"); bignum.Square(); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("FFFFFFE0000001", buffer); AssignHexString(&bignum, "FFFFFFFFFFFFFF"); bignum.Square(); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("FFFFFFFFFFFFFE00000000000001", buffer); } TEST(AssignPowerUInt16) { Bignum bignum; char buffer[kBufferSize]; bignum.AssignPowerUInt16(1, 0); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("1", buffer); bignum.AssignPowerUInt16(1, 1); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("1", buffer); bignum.AssignPowerUInt16(1, 2); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("1", buffer); bignum.AssignPowerUInt16(2, 0); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("1", buffer); bignum.AssignPowerUInt16(2, 1); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("2", buffer); bignum.AssignPowerUInt16(2, 2); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("4", buffer); bignum.AssignPowerUInt16(16, 1); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("10", buffer); bignum.AssignPowerUInt16(16, 2); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("100", buffer); bignum.AssignPowerUInt16(16, 5); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("100000", buffer); bignum.AssignPowerUInt16(16, 8); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("100000000", buffer); bignum.AssignPowerUInt16(16, 16); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("10000000000000000", buffer); bignum.AssignPowerUInt16(16, 30); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("1000000000000000000000000000000", buffer); bignum.AssignPowerUInt16(10, 0); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("1", buffer); bignum.AssignPowerUInt16(10, 1); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("A", buffer); bignum.AssignPowerUInt16(10, 2); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("64", buffer); bignum.AssignPowerUInt16(10, 5); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("186A0", buffer); bignum.AssignPowerUInt16(10, 8); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("5F5E100", buffer); bignum.AssignPowerUInt16(10, 16); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("2386F26FC10000", buffer); bignum.AssignPowerUInt16(10, 30); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("C9F2C9CD04674EDEA40000000", buffer); bignum.AssignPowerUInt16(10, 31); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("7E37BE2022C0914B2680000000", buffer); bignum.AssignPowerUInt16(2, 0); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("1", buffer); bignum.AssignPowerUInt16(2, 100); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("10000000000000000000000000", buffer); bignum.AssignPowerUInt16(17, 0); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("1", buffer); bignum.AssignPowerUInt16(17, 99); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("1942BB9853FAD924A3D4DD92B89B940E0207BEF05DB9C26BC1B757" "80BE0C5A2C2990E02A681224F34ED68558CE4C6E33760931", buffer); bignum.AssignPowerUInt16(0xFFFF, 99); CHECK(bignum.ToHexString(buffer, kBufferSize)); CHECK_EQ("FF9D12F09B886C54E77E7439C7D2DED2D34F669654C0C2B6B8C288250" "5A2211D0E3DC9A61831349EAE674B11D56E3049D7BD79DAAD6C9FA2BA" "528E3A794299F2EE9146A324DAFE3E88967A0358233B543E233E575B9" "DD4E3AA7942146426C328FF55BFD5C45E0901B1629260AF9AE2F310C5" "50959FAF305C30116D537D80CF6EBDBC15C5694062AF1AC3D956D0A41" "B7E1B79FF11E21D83387A1CE1F5882B31E4B5D8DE415BDBE6854466DF" "343362267A7E8833119D31D02E18DB5B0E8F6A64B0ED0D0062FFFF", buffer); }