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///////////////////////////////////////////////////////////////////////////
//
// Copyright (c) 2012-2018 DreamWorks Animation LLC
//
// All rights reserved. This software is distributed under the
// Mozilla Public License 2.0 ( http://www.mozilla.org/MPL/2.0/ )
//
// Redistributions of source code must retain the above copyright
// and license notice and the following restrictions and disclaimer.
//
// * Neither the name of DreamWorks Animation 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 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.
// IN NO EVENT SHALL THE COPYRIGHT HOLDERS' AND CONTRIBUTORS' AGGREGATE
// LIABILITY FOR ALL CLAIMS REGARDLESS OF THEIR BASIS EXCEED US$250.00.
//
///////////////////////////////////////////////////////////////////////////
#include <cppunit/extensions/HelperMacros.h>
#include <openvdb/Exceptions.h>
#include <openvdb/math/Math.h>
#include <openvdb/Types.h>
#include <type_traits>
#include <vector>
class TestMath: public CppUnit::TestCase
{
public:
CPPUNIT_TEST_SUITE(TestMath);
CPPUNIT_TEST(testAll);
CPPUNIT_TEST(testRandomInt);
CPPUNIT_TEST(testRandom01);
CPPUNIT_TEST(testMinMaxIndex);
CPPUNIT_TEST_SUITE_END();
void testAll();
void testRandomInt();
void testRandom01();
void testMinMaxIndex();
};
CPPUNIT_TEST_SUITE_REGISTRATION(TestMath);
// This suite of tests obviously needs to be expanded!
void
TestMath::testAll()
{
using namespace openvdb;
{// Sign
CPPUNIT_ASSERT_EQUAL(math::Sign( 3 ), 1);
CPPUNIT_ASSERT_EQUAL(math::Sign(-1.0 ),-1);
CPPUNIT_ASSERT_EQUAL(math::Sign( 0.0f), 0);
}
{// SignChange
CPPUNIT_ASSERT( math::SignChange( -1, 1));
CPPUNIT_ASSERT(!math::SignChange( 0.0f, 0.5f));
CPPUNIT_ASSERT( math::SignChange( 0.0f,-0.5f));
CPPUNIT_ASSERT( math::SignChange(-0.1, 0.0001));
}
{// isApproxZero
CPPUNIT_ASSERT( math::isApproxZero( 0.0f));
CPPUNIT_ASSERT(!math::isApproxZero( 9.0e-6f));
CPPUNIT_ASSERT(!math::isApproxZero(-9.0e-6f));
CPPUNIT_ASSERT( math::isApproxZero( 9.0e-9f));
CPPUNIT_ASSERT( math::isApproxZero(-9.0e-9f));
CPPUNIT_ASSERT( math::isApproxZero( 0.01, 0.1));
}
{// Cbrt
const double a = math::Cbrt(3.0);
CPPUNIT_ASSERT(math::isApproxEqual(a*a*a, 3.0, 1e-6));
}
{// isNegative
CPPUNIT_ASSERT(!std::is_signed<unsigned int>::value);
CPPUNIT_ASSERT(std::is_signed<int>::value);
CPPUNIT_ASSERT(!std::is_signed<bool>::value);
//CPPUNIT_ASSERT(std::is_signed<double>::value);//fails!
//CPPUNIT_ASSERT(std::is_signed<float>::value);//fails!
CPPUNIT_ASSERT( math::isNegative(-1.0f));
CPPUNIT_ASSERT(!math::isNegative( 1.0f));
CPPUNIT_ASSERT( math::isNegative(-1.0));
CPPUNIT_ASSERT(!math::isNegative( 1.0));
CPPUNIT_ASSERT(!math::isNegative(true));
CPPUNIT_ASSERT(!math::isNegative(false));
CPPUNIT_ASSERT(!math::isNegative(1u));
CPPUNIT_ASSERT( math::isNegative(-1));
CPPUNIT_ASSERT(!math::isNegative( 1));
}
{// zeroVal
CPPUNIT_ASSERT_EQUAL(zeroVal<bool>(), false);
CPPUNIT_ASSERT_EQUAL(zeroVal<int>(), int(0));
CPPUNIT_ASSERT_EQUAL(zeroVal<float>(), 0.0f);
CPPUNIT_ASSERT_EQUAL(zeroVal<double>(), 0.0);
CPPUNIT_ASSERT_EQUAL(zeroVal<Vec3i>(), Vec3i(0,0,0));
CPPUNIT_ASSERT_EQUAL(zeroVal<Vec3s>(), Vec3s(0,0,0));
CPPUNIT_ASSERT_EQUAL(zeroVal<Vec3d>(), Vec3d(0,0,0));
CPPUNIT_ASSERT_EQUAL(zeroVal<Quats>(), Quats::zero());
CPPUNIT_ASSERT_EQUAL(zeroVal<Quatd>(), Quatd::zero());
CPPUNIT_ASSERT_EQUAL(zeroVal<Mat3s>(), Mat3s::zero());
CPPUNIT_ASSERT_EQUAL(zeroVal<Mat3d>(), Mat3d::zero());
CPPUNIT_ASSERT_EQUAL(zeroVal<Mat4s>(), Mat4s::zero());
CPPUNIT_ASSERT_EQUAL(zeroVal<Mat4d>(), Mat4d::zero());
}
}
void
TestMath::testRandomInt()
{
using openvdb::math::RandomInt;
int imin = -3, imax = 11;
RandomInt rnd(/*seed=*/42, imin, imax);
// Generate a sequence of random integers and verify that they all fall
// in the interval [imin, imax].
std::vector<int> seq(100);
for (int i = 0; i < 100; ++i) {
seq[i] = rnd();
CPPUNIT_ASSERT(seq[i] >= imin);
CPPUNIT_ASSERT(seq[i] <= imax);
}
// Verify that generators with the same seed produce the same sequence.
rnd = RandomInt(42, imin, imax);
for (int i = 0; i < 100; ++i) {
int r = rnd();
CPPUNIT_ASSERT_EQUAL(seq[i], r);
}
// Verify that generators with different seeds produce different sequences.
rnd = RandomInt(101, imin, imax);
std::vector<int> newSeq(100);
for (int i = 0; i < 100; ++i) newSeq[i] = rnd();
CPPUNIT_ASSERT(newSeq != seq);
// Temporarily change the range.
imin = -5; imax = 6;
for (int i = 0; i < 100; ++i) {
int r = rnd(imin, imax);
CPPUNIT_ASSERT(r >= imin);
CPPUNIT_ASSERT(r <= imax);
}
// Verify that the range change was temporary.
imin = -3; imax = 11;
for (int i = 0; i < 100; ++i) {
int r = rnd();
CPPUNIT_ASSERT(r >= imin);
CPPUNIT_ASSERT(r <= imax);
}
// Permanently change the range.
imin = -5; imax = 6;
rnd.setRange(imin, imax);
for (int i = 0; i < 100; ++i) {
int r = rnd();
CPPUNIT_ASSERT(r >= imin);
CPPUNIT_ASSERT(r <= imax);
}
// Verify that it is OK to specify imin > imax (they are automatically swapped).
imin = 5; imax = -6;
rnd.setRange(imin, imax);
rnd = RandomInt(42, imin, imax);
}
void
TestMath::testRandom01()
{
using openvdb::math::Random01;
using openvdb::math::isApproxEqual;
Random01 rnd(/*seed=*/42);
// Generate a sequence of random numbers and verify that they all fall
// in the interval [0, 1).
std::vector<Random01::ValueType> seq(100);
for (int i = 0; i < 100; ++i) {
seq[i] = rnd();
CPPUNIT_ASSERT(seq[i] >= 0.0);
CPPUNIT_ASSERT(seq[i] < 1.0);
}
// Verify that generators with the same seed produce the same sequence.
rnd = Random01(42);
for (int i = 0; i < 100; ++i) {
CPPUNIT_ASSERT_DOUBLES_EQUAL(seq[i], rnd(), /*tolerance=*/1.0e-6);
}
// Verify that generators with different seeds produce different sequences.
rnd = Random01(101);
bool allEqual = true;
for (int i = 0; allEqual && i < 100; ++i) {
if (!isApproxEqual(rnd(), seq[i])) allEqual = false;
}
CPPUNIT_ASSERT(!allEqual);
}
void
TestMath::testMinMaxIndex()
{
const openvdb::Vec3R a(-1, 2, 0);
CPPUNIT_ASSERT_EQUAL(size_t(0), openvdb::math::MinIndex(a));
CPPUNIT_ASSERT_EQUAL(size_t(1), openvdb::math::MaxIndex(a));
const openvdb::Vec3R b(-1, -2, 0);
CPPUNIT_ASSERT_EQUAL(size_t(1), openvdb::math::MinIndex(b));
CPPUNIT_ASSERT_EQUAL(size_t(2), openvdb::math::MaxIndex(b));
const openvdb::Vec3R c(5, 2, 1);
CPPUNIT_ASSERT_EQUAL(size_t(2), openvdb::math::MinIndex(c));
CPPUNIT_ASSERT_EQUAL(size_t(0), openvdb::math::MaxIndex(c));
const openvdb::Vec3R d(0, 0, 1);
CPPUNIT_ASSERT_EQUAL(size_t(1), openvdb::math::MinIndex(d));
CPPUNIT_ASSERT_EQUAL(size_t(2), openvdb::math::MaxIndex(d));
const openvdb::Vec3R e(1, 0, 0);
CPPUNIT_ASSERT_EQUAL(size_t(2), openvdb::math::MinIndex(e));
CPPUNIT_ASSERT_EQUAL(size_t(0), openvdb::math::MaxIndex(e));
const openvdb::Vec3R f(0, 1, 0);
CPPUNIT_ASSERT_EQUAL(size_t(2), openvdb::math::MinIndex(f));
CPPUNIT_ASSERT_EQUAL(size_t(1), openvdb::math::MaxIndex(f));
const openvdb::Vec3R g(1, 1, 0);
CPPUNIT_ASSERT_EQUAL(size_t(2), openvdb::math::MinIndex(g));
CPPUNIT_ASSERT_EQUAL(size_t(1), openvdb::math::MaxIndex(g));
const openvdb::Vec3R h(1, 0, 1);
CPPUNIT_ASSERT_EQUAL(size_t(1), openvdb::math::MinIndex(h));
CPPUNIT_ASSERT_EQUAL(size_t(2), openvdb::math::MaxIndex(h));
const openvdb::Vec3R i(0, 1, 1);
CPPUNIT_ASSERT_EQUAL(size_t(0), openvdb::math::MinIndex(i));
CPPUNIT_ASSERT_EQUAL(size_t(2), openvdb::math::MaxIndex(i));
const openvdb::Vec3R j(1, 1, 1);
CPPUNIT_ASSERT_EQUAL(size_t(2), openvdb::math::MinIndex(j));
CPPUNIT_ASSERT_EQUAL(size_t(2), openvdb::math::MaxIndex(j));
}
// Copyright (c) 2012-2018 DreamWorks Animation LLC
// All rights reserved. This software is distributed under the
// Mozilla Public License 2.0 ( http://www.mozilla.org/MPL/2.0/ )
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