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/*
* Copyright (c) 2021 ARM Limited
*
* The license below extends only to copyright in the software and shall
* not be construed as granting a license to any other intellectual
* property including but not limited to intellectual property relating
* to a hardware implementation of the functionality of the software
* licensed hereunder. You may use the software subject to the license
* terms below provided that you ensure that this notice is replicated
* unmodified and in its entirety in all distributions of the software,
* modified or unmodified, in source code or in binary form.
*
* Copyright (c) 2019 The Regents of the University of California
* 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 the copyright holders 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 <gtest/gtest.h>
#include <tuple>
#include "base/intmath.hh"
using namespace gem5;
TEST(IntmathTest, isPowerOf2)
{
EXPECT_TRUE(isPowerOf2(1));
EXPECT_TRUE(isPowerOf2(32));
EXPECT_TRUE(isPowerOf2(65536));
EXPECT_TRUE(isPowerOf2(131072));
EXPECT_TRUE(isPowerOf2(262144));
EXPECT_FALSE(isPowerOf2(0));
EXPECT_FALSE(isPowerOf2(36));
EXPECT_FALSE(isPowerOf2(2521));
EXPECT_FALSE(isPowerOf2(1679616));
}
TEST(IntmathTest, floorLog2)
{
EXPECT_EQ(0, floorLog2(1));
EXPECT_EQ(4, floorLog2(16));
EXPECT_EQ(4, floorLog2(31));
EXPECT_EQ(5, floorLog2(36));
EXPECT_EQ(8, floorLog2(436));
EXPECT_EQ(16, floorLog2(65537));
EXPECT_EQ(20, floorLog2(1783592));
EXPECT_EQ(41, floorLog2(2821109907456));
// Test unsigned integers of various sizes.
EXPECT_EQ(0, floorLog2((uint8_t)1));
EXPECT_EQ(0, floorLog2((uint16_t)1));
EXPECT_EQ(0, floorLog2((uint32_t)1));
EXPECT_EQ(0, floorLog2((uint64_t)1));
// Test signed integers of various sizes.
EXPECT_EQ(0, floorLog2((int8_t)1));
EXPECT_EQ(0, floorLog2((int16_t)1));
EXPECT_EQ(0, floorLog2((int32_t)1));
EXPECT_EQ(0, floorLog2((int64_t)1));
}
/* The IntmathDeathTest floorLog2 test is dependent on an assert being
* triggered. We therefore only run this test for .debug and .opt (where
* `TRACING_ON == 1`).
*/
#if TRACING_ON
TEST(IntmathDeathTest, floorLog2)
{
// Verify a non-positive input triggers an assert.
EXPECT_DEATH_IF_SUPPORTED(floorLog2(0), "x > 0");
}
#endif
TEST(IntmathTest, ceilLog2)
{
EXPECT_EQ(0, ceilLog2(1));
EXPECT_EQ(4, ceilLog2(16));
EXPECT_EQ(5, ceilLog2(31));
EXPECT_EQ(6, ceilLog2(36));
EXPECT_EQ(9, ceilLog2(436));
EXPECT_EQ(17, ceilLog2(65537));
EXPECT_EQ(21, ceilLog2(1783592));
EXPECT_EQ(42, ceilLog2(2821109907456));
}
TEST(IntmathTest, divCeil)
{
EXPECT_EQ(5, divCeil(55, 13));
EXPECT_EQ(90, divCeil(7922, 89));
EXPECT_EQ(4, divCeil(4800, 1442));
EXPECT_EQ(4, divCeil(75, 24));
EXPECT_EQ(46, divCeil(451, 10));
}
TEST(IntmathTest, mulUnsignedNarrow)
{
uint8_t a = 0xff;
uint8_t b = 0x02;
uint8_t hi;
uint8_t low;
mulUnsigned<uint8_t>(hi, low, a, b);
EXPECT_EQ(hi, 0x1);
EXPECT_EQ(low, 0xfe);
a = 14;
b = 9;
mulUnsigned<uint8_t>(hi, low, a, b);
EXPECT_EQ(hi, 0);
EXPECT_EQ(low, 0x7e);
a = 0;
b = 0x55;
mulUnsigned<uint8_t>(hi, low, a, b);
EXPECT_EQ(hi, 0);
EXPECT_EQ(low, 0);
}
TEST(IntmathTest, mulSignedNarrow)
{
int8_t a = -0x80;
int8_t b = -0x7f;
int8_t hi;
int8_t low;
mulSigned<int8_t>(hi, low, a, b);
EXPECT_EQ(hi, 0x3f);
EXPECT_EQ(low, -0x80);
a = 14;
b = -9;
mulSigned<int8_t>(hi, low, a, b);
EXPECT_EQ(hi, -0x01);
EXPECT_EQ(low, -0x7e);
a = 0;
b = -0x55;
mulSigned<int8_t>(hi, low, a, b);
EXPECT_EQ(hi, 0);
EXPECT_EQ(low, 0);
}
TEST(IntmathTest, mulUnsignedMid)
{
uint32_t a = 0xffffffffULL;
uint32_t b = 0x00000002ULL;
uint32_t hi;
uint32_t low;
mulUnsigned<uint32_t>(hi, low, a, b);
EXPECT_EQ(hi, 0x1);
EXPECT_EQ(low, 0xfffffffe);
a = 68026386;
b = 5152;
mulUnsigned<uint32_t>(hi, low, a, b);
EXPECT_EQ(hi, 0x51);
EXPECT_EQ(low, 0x99c16a40);
a = 0;
b = 0x55555555;
mulUnsigned<uint32_t>(hi, low, a, b);
EXPECT_EQ(hi, 0);
EXPECT_EQ(low, 0);
}
TEST(IntmathTest, mulSignedMid)
{
int32_t a = -0x80000000;
int32_t b = -0x7fffffff;
int32_t hi;
int32_t low;
mulSigned<int32_t>(hi, low, a, b);
EXPECT_EQ(hi, 0x3fffffff);
EXPECT_EQ(low, -0x80000000);
a = -68026386;
b = 5152;
mulSigned<int32_t>(hi, low, a, b);
EXPECT_EQ(hi, -0x52);
EXPECT_EQ(low, -0x99c16a40);
a = 0;
b = -0x55555555;
mulSigned<int32_t>(hi, low, a, b);
EXPECT_EQ(hi, 0);
EXPECT_EQ(low, 0);
}
TEST(IntmathTest, mulUnsignedWide)
{
uint64_t a = 0xffffffffffffffffULL;
uint64_t b = 0x0000000000000002ULL;
uint64_t hi;
uint64_t low;
mulUnsigned<uint64_t>(hi, low, a, b);
EXPECT_EQ(hi, 0x1);
EXPECT_EQ(low, 0xfffffffffffffffe);
hi = 0;
low = 0;
mulUnsignedManual<uint64_t>(hi, low, a, b);
EXPECT_EQ(hi, 0x1);
EXPECT_EQ(low, 0xfffffffffffffffe);
hi = 0;
low = 0;
std::tie(hi, low) = mulUnsigned<uint64_t>(a, b);
EXPECT_EQ(hi, 0x1);
EXPECT_EQ(low, 0xfffffffffffffffe);
a = 0;
b = 0x5555555555555555;
mulUnsigned<uint64_t>(hi, low, a, b);
EXPECT_EQ(hi, 0);
EXPECT_EQ(low, 0);
}
TEST(IntmathTest, mulSignedWide)
{
int64_t a = -0x8000000000000000;
int64_t b = -0x7fffffffffffffff;
int64_t hi;
int64_t low;
mulSigned<int64_t>(hi, low, a, b);
EXPECT_EQ(hi, 0x3fffffffffffffff);
EXPECT_EQ(low, -0x8000000000000000);
hi = 0;
low = 0;
mulSignedManual<int64_t>(hi, low, a, b);
EXPECT_EQ(hi, 0x3fffffffffffffff);
EXPECT_EQ(low, -0x8000000000000000);
hi = 0;
low = 0;
std::tie(hi, low) = mulSigned<int64_t>(a, b);
EXPECT_EQ(hi, 0x3fffffffffffffff);
EXPECT_EQ(low, -0x8000000000000000);
a = 0;
b = -0x5555555555555555;
mulSigned<int64_t>(hi, low, a, b);
EXPECT_EQ(hi, 0);
EXPECT_EQ(low, 0);
}
TEST(IntmathTest, roundUp)
{
EXPECT_EQ(4104, roundUp(4101, 4));
EXPECT_EQ(4112, roundUp(4105, 8));
EXPECT_EQ(4112, roundUp(4101, 16));
EXPECT_EQ(8192, roundUp(7991, 256));
}
TEST(IntmathTest, roundDown)
{
EXPECT_EQ(4100, roundDown(4101, 4));
EXPECT_EQ(4104, roundDown(4105, 8));
EXPECT_EQ(4096, roundDown(4101, 16));
EXPECT_EQ(7936, roundDown(7991, 256));
}
/** This is testing if log2i actually works.
* at every iteration value is multiplied by 2 (left shift) and expected
* is incremented by one. This until value reaches becomes negative (by
* left shifting) which is when expected points to the MSB
*/
TEST(IntmathTest, Log2i)
{
int expected = 0;
for (int value = 1; value > 0; expected++, value <<= 1) {
EXPECT_EQ(expected, log2i(value));
}
// Just as a sanity check for expected to point to the MSB
EXPECT_EQ(expected, sizeof(int) * 8 - 1);
}
/** This is testing the assertions: what if invalid arguments are
* provided to log2i:
*
* 1) value = 0
* 2) value < 0
* 3) value is not a power of 2
*/
TEST(IntmathDeathTest, Log2iDeath)
{
#ifdef NDEBUG
GTEST_SKIP() << "Skipping as assertions are "
"stripped out of fast builds";
#endif
// 1) value = 0
EXPECT_DEATH({
const int value = 0;
log2i(value);
}, "value > 0.*failed");
// 2) value < 0
EXPECT_DEATH({
const int value = -1;
log2i(value);
}, "value > 0.*failed");
// 3) value is not a power of 2
EXPECT_DEATH({
const int value = 5;
log2i(value);
}, "isPowerOf2");
}