/* -*- Mode: C++; tab-width: 8; indent-tabs-mode: nil; c-basic-offset: 2 -*- */ /* vim: set ts=8 sts=2 et sw=2 tw=80: */ /* This Source Code Form is subject to the terms of the Mozilla Public * License, v. 2.0. If a copy of the MPL was not distributed with this file, * You can obtain one at http://mozilla.org/MPL/2.0/. */ #include "mozilla/Assertions.h" #include "mozilla/WrappingOperations.h" #include using mozilla::WrappingAdd; using mozilla::WrappingMultiply; using mozilla::WrappingSubtract; using mozilla::WrapToSigned; // NOTE: In places below |-FOO_MAX - 1| is used instead of |-FOO_MIN| because // in C++ numeric literals are full expressions -- the |-| in a negative // number is technically separate. So with most compilers that limit // |int| to the signed 32-bit range, something like |-2147483648| is // operator-() applied to an *unsigned* expression. And MSVC, at least, // warns when you do that. (The operation is well-defined, but it likely // doesn't do what was intended.) So we do the usual workaround for this // (see your local copy of for a likely demo of this), writing // it out by negating the max value and subtracting 1. static_assert(WrapToSigned(uint8_t(17)) == 17, "no wraparound should work, 8-bit"); static_assert(WrapToSigned(uint8_t(128)) == -128, "works for 8-bit numbers, wraparound low end"); static_assert(WrapToSigned(uint8_t(128 + 7)) == -128 + 7, "works for 8-bit numbers, wraparound mid"); static_assert(WrapToSigned(uint8_t(128 + 127)) == -128 + 127, "works for 8-bit numbers, wraparound high end"); static_assert(WrapToSigned(uint16_t(12345)) == 12345, "no wraparound should work, 16-bit"); static_assert(WrapToSigned(uint16_t(32768)) == -32768, "works for 16-bit numbers, wraparound low end"); static_assert(WrapToSigned(uint16_t(32768 + 42)) == -32768 + 42, "works for 16-bit numbers, wraparound mid"); static_assert(WrapToSigned(uint16_t(32768 + 32767)) == -32768 + 32767, "works for 16-bit numbers, wraparound high end"); static_assert(WrapToSigned(uint32_t(8675309)) == 8675309, "no wraparound should work, 32-bit"); static_assert(WrapToSigned(uint32_t(2147483648)) == -2147483647 - 1, "works for 32-bit numbers, wraparound low end"); static_assert(WrapToSigned(uint32_t(2147483648 + 42)) == -2147483647 - 1 + 42, "works for 32-bit numbers, wraparound mid"); static_assert(WrapToSigned(uint32_t(2147483648 + 2147483647)) == -2147483647 - 1 + 2147483647, "works for 32-bit numbers, wraparound high end"); static_assert(WrapToSigned(uint64_t(4152739164)) == 4152739164, "no wraparound should work, 64-bit"); static_assert(WrapToSigned(uint64_t(9223372036854775808ULL)) == -9223372036854775807LL - 1, "works for 64-bit numbers, wraparound low end"); static_assert(WrapToSigned(uint64_t(9223372036854775808ULL + 8005552368LL)) == -9223372036854775807LL - 1 + 8005552368LL, "works for 64-bit numbers, wraparound mid"); static_assert(WrapToSigned(uint64_t(9223372036854775808ULL + 9223372036854775807ULL)) == -9223372036854775807LL - 1 + 9223372036854775807LL, "works for 64-bit numbers, wraparound high end"); template inline constexpr bool TestEqual(T aX, T aY) { return aX == aY; } static void TestWrappingAdd8() { MOZ_RELEASE_ASSERT( TestEqual(WrappingAdd(uint8_t(0), uint8_t(128)), uint8_t(128)), "zero plus anything is anything"); MOZ_RELEASE_ASSERT( TestEqual(WrappingAdd(uint8_t(17), uint8_t(42)), uint8_t(59)), "17 + 42 == 59"); MOZ_RELEASE_ASSERT( TestEqual(WrappingAdd(uint8_t(255), uint8_t(1)), uint8_t(0)), "all bits plus one overflows to zero"); MOZ_RELEASE_ASSERT( TestEqual(WrappingAdd(uint8_t(128), uint8_t(127)), uint8_t(255)), "high bit plus all lower bits is all bits"); MOZ_RELEASE_ASSERT( TestEqual(WrappingAdd(uint8_t(128), uint8_t(193)), uint8_t(65)), "128 + 193 is 256 + 65"); MOZ_RELEASE_ASSERT( TestEqual(WrappingAdd(int8_t(0), int8_t(-128)), int8_t(-128)), "zero plus anything is anything"); MOZ_RELEASE_ASSERT( TestEqual(WrappingAdd(int8_t(123), int8_t(8)), int8_t(-125)), "overflow to negative"); MOZ_RELEASE_ASSERT( TestEqual(WrappingAdd(int8_t(5), int8_t(-123)), int8_t(-118)), "5 - 123 is -118"); MOZ_RELEASE_ASSERT( TestEqual(WrappingAdd(int8_t(-85), int8_t(-73)), int8_t(98)), "underflow to positive"); MOZ_RELEASE_ASSERT( TestEqual(WrappingAdd(int8_t(-128), int8_t(127)), int8_t(-1)), "high bit plus all lower bits is -1"); } static void TestWrappingAdd16() { MOZ_RELEASE_ASSERT( TestEqual(WrappingAdd(uint16_t(0), uint16_t(32768)), uint16_t(32768)), "zero plus anything is anything"); MOZ_RELEASE_ASSERT( TestEqual(WrappingAdd(uint16_t(24389), uint16_t(2682)), uint16_t(27071)), "24389 + 2682 == 27071"); MOZ_RELEASE_ASSERT( TestEqual(WrappingAdd(uint16_t(65535), uint16_t(1)), uint16_t(0)), "all bits plus one overflows to zero"); MOZ_RELEASE_ASSERT( TestEqual(WrappingAdd(uint16_t(32768), uint16_t(32767)), uint16_t(65535)), "high bit plus all lower bits is all bits"); MOZ_RELEASE_ASSERT( TestEqual(WrappingAdd(uint16_t(32768), uint16_t(47582)), uint16_t(14814)), "32768 + 47582 is 65536 + 14814"); MOZ_RELEASE_ASSERT( TestEqual(WrappingAdd(int16_t(0), int16_t(-32768)), int16_t(-32768)), "zero plus anything is anything"); MOZ_RELEASE_ASSERT( TestEqual(WrappingAdd(int16_t(32765), int16_t(8)), int16_t(-32763)), "overflow to negative"); MOZ_RELEASE_ASSERT( TestEqual(WrappingAdd(int16_t(5), int16_t(-28933)), int16_t(-28928)), "5 - 28933 is -28928"); MOZ_RELEASE_ASSERT( TestEqual(WrappingAdd(int16_t(-23892), int16_t(-12893)), int16_t(28751)), "underflow to positive"); MOZ_RELEASE_ASSERT( TestEqual(WrappingAdd(int16_t(-32768), int16_t(32767)), int16_t(-1)), "high bit plus all lower bits is -1"); } static void TestWrappingAdd32() { MOZ_RELEASE_ASSERT(TestEqual(WrappingAdd(uint32_t(0), uint32_t(2147483648)), uint32_t(2147483648)), "zero plus anything is anything"); MOZ_RELEASE_ASSERT( TestEqual(WrappingAdd(uint32_t(1398742328), uint32_t(714192829)), uint32_t(2112935157)), "1398742328 + 714192829 == 2112935157"); MOZ_RELEASE_ASSERT( TestEqual(WrappingAdd(uint32_t(4294967295), uint32_t(1)), uint32_t(0)), "all bits plus one overflows to zero"); MOZ_RELEASE_ASSERT( TestEqual(WrappingAdd(uint32_t(2147483648), uint32_t(2147483647)), uint32_t(4294967295)), "high bit plus all lower bits is all bits"); MOZ_RELEASE_ASSERT( TestEqual(WrappingAdd(uint32_t(2147483648), uint32_t(3146492712)), uint32_t(999009064)), "2147483648 + 3146492712 is 4294967296 + 999009064"); MOZ_RELEASE_ASSERT( TestEqual(WrappingAdd(int32_t(0), int32_t(-2147483647 - 1)), int32_t(-2147483647 - 1)), "zero plus anything is anything"); MOZ_RELEASE_ASSERT(TestEqual(WrappingAdd(int32_t(2147483645), int32_t(8)), int32_t(-2147483643)), "overflow to negative"); MOZ_RELEASE_ASSERT(TestEqual(WrappingAdd(int32_t(257), int32_t(-23947248)), int32_t(-23946991)), "257 - 23947248 is -23946991"); MOZ_RELEASE_ASSERT( TestEqual(WrappingAdd(int32_t(-2147483220), int32_t(-12893)), int32_t(2147471183)), "underflow to positive"); MOZ_RELEASE_ASSERT( TestEqual(WrappingAdd(int32_t(-32768), int32_t(32767)), int32_t(-1)), "high bit plus all lower bits is -1"); } static void TestWrappingAdd64() { MOZ_RELEASE_ASSERT( TestEqual(WrappingAdd(uint64_t(0), uint64_t(9223372036854775808ULL)), uint64_t(9223372036854775808ULL)), "zero plus anything is anything"); MOZ_RELEASE_ASSERT( TestEqual(WrappingAdd(uint64_t(70368744177664), uint64_t(3740873592)), uint64_t(70372485051256)), "70368744177664 + 3740873592 == 70372485051256"); MOZ_RELEASE_ASSERT( TestEqual(WrappingAdd(uint64_t(18446744073709551615ULL), uint64_t(1)), uint64_t(0)), "all bits plus one overflows to zero"); MOZ_RELEASE_ASSERT(TestEqual(WrappingAdd(uint64_t(9223372036854775808ULL), uint64_t(9223372036854775807ULL)), uint64_t(18446744073709551615ULL)), "high bit plus all lower bits is all bits"); MOZ_RELEASE_ASSERT(TestEqual(WrappingAdd(uint64_t(14552598638644786479ULL), uint64_t(3894174382537247221ULL)), uint64_t(28947472482084)), "9223372036854775808 + 3146492712 is 18446744073709551616 " "+ 28947472482084"); MOZ_RELEASE_ASSERT( TestEqual(WrappingAdd(int64_t(0), int64_t(-9223372036854775807LL - 1)), int64_t(-9223372036854775807LL - 1)), "zero plus anything is anything"); MOZ_RELEASE_ASSERT( TestEqual(WrappingAdd(int64_t(9223372036854775802LL), int64_t(8)), int64_t(-9223372036854775806LL)), "overflow to negative"); MOZ_RELEASE_ASSERT( TestEqual(WrappingAdd(int64_t(37482739294298742LL), int64_t(-437843573929483498LL)), int64_t(-400360834635184756LL)), "37482739294298742 - 437843573929483498 is -400360834635184756"); MOZ_RELEASE_ASSERT(TestEqual(WrappingAdd(int64_t(-9127837934058953374LL), int64_t(-4173572032144775807LL)), int64_t(5145334107505822435L)), "underflow to positive"); MOZ_RELEASE_ASSERT(TestEqual(WrappingAdd(int64_t(-9223372036854775807LL - 1), int64_t(9223372036854775807LL)), int64_t(-1)), "high bit plus all lower bits is -1"); } static void TestWrappingAdd() { TestWrappingAdd8(); TestWrappingAdd16(); TestWrappingAdd32(); TestWrappingAdd64(); } static void TestWrappingSubtract8() { MOZ_RELEASE_ASSERT( TestEqual(WrappingSubtract(uint8_t(0), uint8_t(128)), uint8_t(128)), "zero minus half is half"); MOZ_RELEASE_ASSERT( TestEqual(WrappingSubtract(uint8_t(17), uint8_t(42)), uint8_t(231)), "17 - 42 == -25 added to 256 is 231"); MOZ_RELEASE_ASSERT( TestEqual(WrappingSubtract(uint8_t(0), uint8_t(1)), uint8_t(255)), "zero underflows to all bits"); MOZ_RELEASE_ASSERT( TestEqual(WrappingSubtract(uint8_t(128), uint8_t(127)), uint8_t(1)), "128 - 127 == 1"); MOZ_RELEASE_ASSERT( TestEqual(WrappingSubtract(uint8_t(128), uint8_t(193)), uint8_t(191)), "128 - 193 is -65 so -65 + 256 == 191"); MOZ_RELEASE_ASSERT( TestEqual(WrappingSubtract(int8_t(0), int8_t(-128)), int8_t(-128)), "zero minus high bit wraps to high bit"); MOZ_RELEASE_ASSERT( TestEqual(WrappingSubtract(int8_t(-126), int8_t(4)), int8_t(126)), "underflow to positive"); MOZ_RELEASE_ASSERT( TestEqual(WrappingSubtract(int8_t(5), int8_t(-123)), int8_t(-128)), "overflow to negative"); MOZ_RELEASE_ASSERT( TestEqual(WrappingSubtract(int8_t(-85), int8_t(-73)), int8_t(-12)), "negative minus smaller negative"); MOZ_RELEASE_ASSERT( TestEqual(WrappingSubtract(int8_t(-128), int8_t(127)), int8_t(1)), "underflow to 1"); } static void TestWrappingSubtract16() { MOZ_RELEASE_ASSERT(TestEqual(WrappingSubtract(uint16_t(0), uint16_t(32768)), uint16_t(32768)), "zero minus half is half"); MOZ_RELEASE_ASSERT( TestEqual(WrappingSubtract(uint16_t(24389), uint16_t(2682)), uint16_t(21707)), "24389 - 2682 == 21707"); MOZ_RELEASE_ASSERT( TestEqual(WrappingSubtract(uint16_t(0), uint16_t(1)), uint16_t(65535)), "zero underflows to all bits"); MOZ_RELEASE_ASSERT( TestEqual(WrappingSubtract(uint16_t(32768), uint16_t(32767)), uint16_t(1)), "high bit minus all lower bits is one"); MOZ_RELEASE_ASSERT( TestEqual(WrappingSubtract(uint16_t(32768), uint16_t(47582)), uint16_t(50722)), "32768 - 47582 + 65536 is 50722"); MOZ_RELEASE_ASSERT( TestEqual(WrappingSubtract(int16_t(0), int16_t(-32768)), int16_t(-32768)), "zero minus high bit wraps to high bit"); MOZ_RELEASE_ASSERT( TestEqual(WrappingSubtract(int16_t(-32766), int16_t(4)), int16_t(32766)), "underflow to positive"); MOZ_RELEASE_ASSERT( TestEqual(WrappingSubtract(int16_t(5), int16_t(-28933)), int16_t(28938)), "5 - -28933 is 28938"); MOZ_RELEASE_ASSERT( TestEqual(WrappingSubtract(int16_t(-23892), int16_t(-12893)), int16_t(-10999)), "negative minus smaller negative"); MOZ_RELEASE_ASSERT( TestEqual(WrappingSubtract(int16_t(-32768), int16_t(32767)), int16_t(1)), "underflow to 1"); } static void TestWrappingSubtract32() { MOZ_RELEASE_ASSERT( TestEqual(WrappingSubtract(uint32_t(0), uint32_t(2147483648)), uint32_t(2147483648)), "zero minus half is half"); MOZ_RELEASE_ASSERT( TestEqual(WrappingSubtract(uint32_t(1398742328), uint32_t(714192829)), uint32_t(684549499)), "1398742328 - 714192829 == 684549499"); MOZ_RELEASE_ASSERT(TestEqual(WrappingSubtract(uint32_t(0), uint32_t(1)), uint32_t(4294967295)), "zero underflows to all bits"); MOZ_RELEASE_ASSERT( TestEqual(WrappingSubtract(uint32_t(2147483648), uint32_t(2147483647)), uint32_t(1)), "high bit minus all lower bits is one"); MOZ_RELEASE_ASSERT( TestEqual(WrappingSubtract(uint32_t(2147483648), uint32_t(3146492712)), uint32_t(3295958232)), "2147483648 - 3146492712 + 4294967296 is 3295958232"); MOZ_RELEASE_ASSERT( TestEqual(WrappingSubtract(int32_t(0), int32_t(-2147483647 - 1)), int32_t(-2147483647 - 1)), "zero minus high bit wraps to high bit"); MOZ_RELEASE_ASSERT( TestEqual(WrappingSubtract(int32_t(-2147483646), int32_t(4)), int32_t(2147483646)), "underflow to positive"); MOZ_RELEASE_ASSERT( TestEqual(WrappingSubtract(int32_t(257), int32_t(-23947248)), int32_t(23947505)), "257 - -23947248 is 23947505"); MOZ_RELEASE_ASSERT( TestEqual(WrappingSubtract(int32_t(-2147483220), int32_t(-12893)), int32_t(-2147470327)), "negative minus smaller negative"); MOZ_RELEASE_ASSERT( TestEqual(WrappingSubtract(int32_t(-2147483647 - 1), int32_t(2147483647)), int32_t(1)), "underflow to 1"); } static void TestWrappingSubtract64() { MOZ_RELEASE_ASSERT( TestEqual(WrappingSubtract(uint64_t(0), uint64_t(9223372036854775808ULL)), uint64_t(9223372036854775808ULL)), "zero minus half is half"); MOZ_RELEASE_ASSERT(TestEqual(WrappingSubtract(uint64_t(70368744177664), uint64_t(3740873592)), uint64_t(70365003304072)), "70368744177664 - 3740873592 == 70365003304072"); MOZ_RELEASE_ASSERT(TestEqual(WrappingSubtract(uint64_t(0), uint64_t(1)), uint64_t(18446744073709551615ULL)), "zero underflows to all bits"); MOZ_RELEASE_ASSERT( TestEqual(WrappingSubtract(uint64_t(9223372036854775808ULL), uint64_t(9223372036854775807ULL)), uint64_t(1)), "high bit minus all lower bits is one"); MOZ_RELEASE_ASSERT( TestEqual(WrappingSubtract(uint64_t(14552598638644786479ULL), uint64_t(3894174382537247221ULL)), uint64_t(10658424256107539258ULL)), "14552598638644786479 - 39763621533397112216 is 10658424256107539258L"); MOZ_RELEASE_ASSERT( TestEqual( WrappingSubtract(int64_t(0), int64_t(-9223372036854775807LL - 1)), int64_t(-9223372036854775807LL - 1)), "zero minus high bit wraps to high bit"); MOZ_RELEASE_ASSERT( TestEqual(WrappingSubtract(int64_t(-9223372036854775802LL), int64_t(8)), int64_t(9223372036854775806LL)), "overflow to negative"); MOZ_RELEASE_ASSERT( TestEqual(WrappingSubtract(int64_t(37482739294298742LL), int64_t(-437843573929483498LL)), int64_t(475326313223782240)), "37482739294298742 - -437843573929483498 is 475326313223782240"); MOZ_RELEASE_ASSERT( TestEqual(WrappingSubtract(int64_t(-9127837934058953374LL), int64_t(-4173572032144775807LL)), int64_t(-4954265901914177567LL)), "negative minus smaller negative"); MOZ_RELEASE_ASSERT( TestEqual(WrappingSubtract(int64_t(-9223372036854775807LL - 1), int64_t(9223372036854775807LL)), int64_t(1)), "underflow to 1"); } static void TestWrappingSubtract() { TestWrappingSubtract8(); TestWrappingSubtract16(); TestWrappingSubtract32(); TestWrappingSubtract64(); } static void TestWrappingMultiply8() { MOZ_RELEASE_ASSERT( TestEqual(WrappingMultiply(uint8_t(0), uint8_t(128)), uint8_t(0)), "zero times anything is zero"); MOZ_RELEASE_ASSERT( TestEqual(WrappingMultiply(uint8_t(128), uint8_t(1)), uint8_t(128)), "1 times anything is anything"); MOZ_RELEASE_ASSERT( TestEqual(WrappingMultiply(uint8_t(2), uint8_t(128)), uint8_t(0)), "2 times high bit overflows, produces zero"); MOZ_RELEASE_ASSERT( TestEqual(WrappingMultiply(uint8_t(8), uint8_t(16)), uint8_t(128)), "multiply that populates the high bit produces that value"); MOZ_RELEASE_ASSERT( TestEqual(WrappingMultiply(uint8_t(127), uint8_t(127)), uint8_t(1)), "multiplying signed maxvals overflows all the way to 1"); MOZ_RELEASE_ASSERT( TestEqual(WrappingMultiply(int8_t(0), int8_t(-128)), int8_t(0)), "zero times anything is zero"); MOZ_RELEASE_ASSERT( TestEqual(WrappingMultiply(int8_t(-128), int8_t(1)), int8_t(-128)), "1 times anything is anything"); MOZ_RELEASE_ASSERT( TestEqual(WrappingMultiply(int8_t(2), int8_t(-128)), int8_t(0)), "2 times min overflows, produces zero"); MOZ_RELEASE_ASSERT( TestEqual(WrappingMultiply(int8_t(16), int8_t(24)), int8_t(-128)), "multiply that populates the sign bit produces minval"); MOZ_RELEASE_ASSERT( TestEqual(WrappingMultiply(int8_t(8), int8_t(16)), int8_t(-128)), "multiply that populates the sign bit produces minval"); MOZ_RELEASE_ASSERT( TestEqual(WrappingMultiply(int8_t(127), int8_t(127)), int8_t(1)), "multiplying maxvals overflows all the way to 1"); } static void TestWrappingMultiply16() { MOZ_RELEASE_ASSERT( TestEqual(WrappingMultiply(uint16_t(0), uint16_t(32768)), uint16_t(0)), "zero times anything is zero"); MOZ_RELEASE_ASSERT(TestEqual(WrappingMultiply(uint16_t(32768), uint16_t(1)), uint16_t(32768)), "1 times anything is anything"); MOZ_RELEASE_ASSERT( TestEqual(WrappingMultiply(uint16_t(2), uint16_t(32768)), uint16_t(0)), "2 times high bit overflows, produces zero"); MOZ_RELEASE_ASSERT(TestEqual(WrappingMultiply(uint16_t(3), uint16_t(32768)), uint16_t(-32768)), "3 * 32768 - 65536 is 32768"); MOZ_RELEASE_ASSERT( TestEqual(WrappingMultiply(uint16_t(64), uint16_t(512)), uint16_t(32768)), "multiply that populates the high bit produces that value"); MOZ_RELEASE_ASSERT( TestEqual(WrappingMultiply(uint16_t(32767), uint16_t(32767)), uint16_t(1)), "multiplying signed maxvals overflows all the way to 1"); MOZ_RELEASE_ASSERT( TestEqual(WrappingMultiply(int16_t(0), int16_t(-32768)), int16_t(0)), "zero times anything is zero"); MOZ_RELEASE_ASSERT( TestEqual(WrappingMultiply(int16_t(-32768), int16_t(1)), int16_t(-32768)), "1 times anything is anything"); MOZ_RELEASE_ASSERT( TestEqual(WrappingMultiply(int16_t(-456), int16_t(123)), int16_t(9448)), "multiply opposite signs, then add 2**16 for the result"); MOZ_RELEASE_ASSERT( TestEqual(WrappingMultiply(int16_t(2), int16_t(-32768)), int16_t(0)), "2 times min overflows, produces zero"); MOZ_RELEASE_ASSERT( TestEqual(WrappingMultiply(int16_t(64), int16_t(512)), int16_t(-32768)), "multiply that populates the sign bit produces minval"); MOZ_RELEASE_ASSERT( TestEqual(WrappingMultiply(int16_t(32767), int16_t(32767)), int16_t(1)), "multiplying maxvals overflows all the way to 1"); } static void TestWrappingMultiply32() { MOZ_RELEASE_ASSERT( TestEqual(WrappingMultiply(uint32_t(0), uint32_t(2147483648)), uint32_t(0)), "zero times anything is zero"); MOZ_RELEASE_ASSERT( TestEqual(WrappingMultiply(uint32_t(42), uint32_t(17)), uint32_t(714)), "42 * 17 is 714 without wraparound"); MOZ_RELEASE_ASSERT( TestEqual(WrappingMultiply(uint32_t(2147483648), uint32_t(1)), uint32_t(2147483648)), "1 times anything is anything"); MOZ_RELEASE_ASSERT( TestEqual(WrappingMultiply(uint32_t(2), uint32_t(2147483648)), uint32_t(0)), "2 times high bit overflows, produces zero"); MOZ_RELEASE_ASSERT( TestEqual(WrappingMultiply(uint32_t(8192), uint32_t(262144)), uint32_t(2147483648)), "multiply that populates the high bit produces that value"); MOZ_RELEASE_ASSERT( TestEqual(WrappingMultiply(uint32_t(2147483647), uint32_t(2147483647)), uint32_t(1)), "multiplying signed maxvals overflows all the way to 1"); MOZ_RELEASE_ASSERT( TestEqual(WrappingMultiply(int32_t(0), int32_t(-2147483647 - 1)), int32_t(0)), "zero times anything is zero"); MOZ_RELEASE_ASSERT( TestEqual(WrappingMultiply(int32_t(-2147483647 - 1), int32_t(1)), int32_t(-2147483647 - 1)), "1 times anything is anything"); MOZ_RELEASE_ASSERT( TestEqual(WrappingMultiply(int32_t(2), int32_t(-2147483647 - 1)), int32_t(0)), "2 times min overflows, produces zero"); MOZ_RELEASE_ASSERT( TestEqual(WrappingMultiply(int32_t(-7), int32_t(-9)), int32_t(63)), "-7 * -9 is 63, no wraparound needed"); MOZ_RELEASE_ASSERT(TestEqual(WrappingMultiply(int32_t(8192), int32_t(262144)), int32_t(-2147483647 - 1)), "multiply that populates the sign bit produces minval"); MOZ_RELEASE_ASSERT( TestEqual(WrappingMultiply(int32_t(2147483647), int32_t(2147483647)), int32_t(1)), "multiplying maxvals overflows all the way to 1"); } static void TestWrappingMultiply64() { MOZ_RELEASE_ASSERT( TestEqual(WrappingMultiply(uint64_t(0), uint64_t(9223372036854775808ULL)), uint64_t(0)), "zero times anything is zero"); MOZ_RELEASE_ASSERT( TestEqual(WrappingMultiply(uint64_t(9223372036854775808ULL), uint64_t(1)), uint64_t(9223372036854775808ULL)), "1 times anything is anything"); MOZ_RELEASE_ASSERT( TestEqual(WrappingMultiply(uint64_t(2), uint64_t(9223372036854775808ULL)), uint64_t(0)), "2 times high bit overflows, produces zero"); MOZ_RELEASE_ASSERT( TestEqual(WrappingMultiply(uint64_t(131072), uint64_t(70368744177664)), uint64_t(9223372036854775808ULL)), "multiply that populates the high bit produces that value"); MOZ_RELEASE_ASSERT(TestEqual(WrappingMultiply(uint64_t(9223372036854775807), uint64_t(9223372036854775807)), uint64_t(1)), "multiplying signed maxvals overflows all the way to 1"); MOZ_RELEASE_ASSERT( TestEqual(WrappingMultiply(int64_t(0), int64_t(-9223372036854775807 - 1)), int64_t(0)), "zero times anything is zero"); MOZ_RELEASE_ASSERT( TestEqual(WrappingMultiply(int64_t(-9223372036854775807 - 1), int64_t(1)), int64_t(-9223372036854775807 - 1)), "1 times anything is anything"); MOZ_RELEASE_ASSERT( TestEqual(WrappingMultiply(int64_t(2), int64_t(-9223372036854775807 - 1)), int64_t(0)), "2 times min overflows, produces zero"); MOZ_RELEASE_ASSERT( TestEqual(WrappingMultiply(int64_t(131072), int64_t(70368744177664)), int64_t(-9223372036854775807 - 1)), "multiply that populates the sign bit produces minval"); MOZ_RELEASE_ASSERT(TestEqual(WrappingMultiply(int64_t(9223372036854775807), int64_t(9223372036854775807)), int64_t(1)), "multiplying maxvals overflows all the way to 1"); } static void TestWrappingMultiply() { TestWrappingMultiply8(); TestWrappingMultiply16(); TestWrappingMultiply32(); TestWrappingMultiply64(); } int main() { TestWrappingAdd(); TestWrappingSubtract(); TestWrappingMultiply(); return 0; }