scsl/test/vector.cc

493 lines
11 KiB
C++

//
// Project: scccl
// File: test/math/geom2d_test.cpp
// Author: Kyle Isom
// Date: 2020-02-19
//
// vector runs a set of unit tests on the vector parts of the
// math::geom namespace.
//
// Copyright 2020 Kyle Isom <kyle@imap.cc>
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
#include <iostream>
#include <sstream>
#include <scmp/geom/Vector.h>
#include <sctest/SimpleSuite.h>
#include <sctest/Checks.h>
using namespace scmp;
using namespace sctest;
using namespace std;
static bool
Vector3Miscellaneous_ExtractionOperator3d()
{
geom::Vector3d vec {1.0, 2.0, 3.0};
stringstream vecBuffer;
vecBuffer << vec;
SCTEST_CHECK_EQ(vecBuffer.str(), "<1, 2, 3>");
return true;
}
static bool
Vector3Miscellaneous_ExtractionOperator3f()
{
geom::Vector3f vec {1.0, 2.0, 3.0};
stringstream vecBuffer;
vecBuffer << vec;
SCTEST_CHECK_EQ(vecBuffer.str(), "<1, 2, 3>");
return true;
}
static bool
Vector3Miscellaneous_SetEpsilon() {
geom::Vector3f a {1.0, 1.0, 1.0};
geom::Vector3f b;
a.setEpsilon(1.1);
SCTEST_CHECK_EQ(a, b);
return true;
}
static bool
Vector3FloatTests_Magnitude()
{
geom::Vector3f v3f {1.0, -2.0, 3.0};
const float expected = 3.74165738677394;
SCTEST_CHECK_FEQ(v3f.magnitude(), expected);
return true;
}
static bool
Vector3FloatTests_Equality()
{
geom::Vector3f a {1.0, 2.0, 3.0};
geom::Vector3f b {1.0, 2.0, 3.0};
geom::Vector3f c {1.0, 2.0, 1.0};
SCTEST_CHECK_EQ(a, b);
SCTEST_CHECK_EQ(b, a);
SCTEST_CHECK_NE(a, c);
SCTEST_CHECK_NE(b, c);
return true;
}
static bool
Vector3FloatTests_Addition()
{
geom::Vector3f a {1.0, 2.0, 3.0};
geom::Vector3f b {4.0, 5.0, 6.0};
geom::Vector3f expected {5.0, 7.0, 9.0};
SCTEST_CHECK_EQ(a+b, expected);
return true;
}
static bool
Vector3FloatTests_Subtraction()
{
geom::Vector3f a {1.0, 2.0, 3.0};
geom::Vector3f b {4.0, 5.0, 6.0};
geom::Vector3f c {5.0, 7.0, 9.0};
SCTEST_CHECK_EQ(c-b, a);
return true;
}
static bool
Vector3FloatTests_ScalarMultiplication()
{
geom::Vector3f a {1.0, 2.0, 3.0};
geom::Vector3f expected {3.0, 6.0, 9.0};
SCTEST_CHECK_EQ(a * 3.0, expected);
return true;
}
static bool
Vector3FloatTests_ScalarDivision()
{
geom::Vector3f a {1.0, 2.0, 3.0};
geom::Vector3f b {3.0, 6.0, 9.0};
SCTEST_CHECK_EQ(b / 3.0, a);
return true;
}
static bool
Vector3FloatTests_DotProduct()
{
geom::Vector3f a {1.0, 2.0, 3.0};
geom::Vector3f b {4.0, 5.0, 6.0};
SCTEST_CHECK_FEQ(a * b, (float)32.0);
return true;
}
static bool
Vector3FloatTests_UnitVector()
{
// Test values randomly generated and calculated with numpy.
geom::Vector3f vec3 {5.320264018493507, 5.6541812891273935, 1.9233435162644652};
geom::Vector3f unit {0.6651669556972103, 0.7069150218815566, 0.24046636539587804};
geom::Vector3f unit2;
SCTEST_CHECK_EQ(vec3.unitVector(), unit);
SCTEST_CHECK_FALSE(vec3.isUnitVector());
SCTEST_CHECK(unit.isUnitVector());
SCTEST_CHECK(unit2.isUnitVector());
return true;
}
static bool
Vector3FloatTests_Angle()
{
geom::Vector3f a {0.3977933061361172, 8.053980094436525, 8.1287759943773};
geom::Vector3f b {9.817895298608196, 4.034166890407462, 4.37628316513266};
geom::Vector3f c {7.35, 0.221, 5.188};
geom::Vector3f d {2.751, 8.259, 3.985};
SCTEST_CHECK_FEQ(a.angle(b), (float)0.9914540426033251);
if (!scmp::WithinTolerance(c.angle(d), (float)1.052, (float)0.001)) {
return false;
}
return true;
}
static bool
Vector3FloatTests_ParallelOrthogonalVectors()
{
geom::Vector3f a {-2.029, 9.97, 4.172};
geom::Vector3f b {-9.231, -6.639, -7.245};
geom::Vector3f c {-2.328, -7.284, -1.214};
geom::Vector3f d {-1.821, 1.072, -2.94};
geom::Vector3f e {-2.0, 1.0, 3.0};
geom::Vector3f f {-6.0, 3.0, 9.0};
geom::Vector3f zeroVector {0.0, 0.0, 0.0};
SCTEST_CHECK_FALSE(a.isParallel(b));
SCTEST_CHECK_FALSE(a.isOrthogonal(b));
SCTEST_CHECK_FALSE(c.isParallel(d));
SCTEST_CHECK(c.isOrthogonal(d));
SCTEST_CHECK(e.isParallel(f));
SCTEST_CHECK_FALSE(e.isOrthogonal(f));
SCTEST_CHECK(zeroVector.isZero());
SCTEST_CHECK(c.isParallel(zeroVector));
SCTEST_CHECK(c.isOrthogonal(zeroVector));
return true;
}
static bool
Vector3FloatTests_Projections()
{
geom::Vector3f a {4.866769214609107, 6.2356222686140566, 9.140878417029711};
geom::Vector3f b {6.135533104801077, 8.757851406697895, 0.6738031370548048};
geom::Vector3f c {4.843812341655318, 6.9140509888133055, 0.5319465962229454};
geom::Vector3f d {0.02295687295378901, -0.6784287201992489, 8.608931820806765};
SCTEST_CHECK_EQ(a.projectParallel(b), c);
SCTEST_CHECK_EQ(a.projectOrthogonal(b), d);
return true;
}
static bool
Vector3FloatTests_CrossProduct()
{
geom::Vector3f a {8.462, 7.893, -8.187};
geom::Vector3f b {6.984, -5.975, 4.778};
geom::Vector3f c {-11.2046, -97.6094, -105.685};
c.setEpsilon(0.001);
SCTEST_CHECK_EQ(c, a.cross(b));
return true;
}
static bool
Vector3DoubleTests_Magnitude()
{
geom::Vector3d v3d{1.0, -2.0, 3.0};
const double expected = 3.74165738677394;
SCTEST_CHECK_DEQ(v3d.magnitude(), expected);
return true;
}
static bool
Vector3DoubleTests_Equality()
{
geom::Vector3d a {1.0, 2.0, 3.0};
geom::Vector3d b {1.0, 2.0, 3.0};
geom::Vector3d c {1.0, 2.0, 1.0};
SCTEST_CHECK_EQ(a, b);
SCTEST_CHECK_EQ(b, a);
SCTEST_CHECK_NE(a, c);
SCTEST_CHECK_NE(b, c);
return true;
}
static bool
Vector3DoubleTests_Addition()
{
geom::Vector3d a {1.0, 2.0, 3.0};
geom::Vector3d b {4.0, 5.0, 6.0};
geom::Vector3d expected {5.0, 7.0, 9.0};
SCTEST_CHECK_EQ(a+b, expected);
return true;
}
static bool
Vector3DoubleTests_Subtraction()
{
geom::Vector3d a {1.0, 2.0, 3.0};
geom::Vector3d b {4.0, 5.0, 6.0};
geom::Vector3d c {5.0, 7.0, 9.0};
SCTEST_CHECK_EQ(c-b, a);
return true;
}
static bool
Vector3DoubleTests_ScalarMultiplication()
{
geom::Vector3d a {1.0, 2.0, 3.0};
geom::Vector3d expected {3.0, 6.0, 9.0};
SCTEST_CHECK_EQ(a * 3.0, expected);
return true;
}
static bool
Vector3DoubleTests_ScalarDivision()
{
geom::Vector3d a {1.0, 2.0, 3.0};
geom::Vector3d b {3.0, 6.0, 9.0};
SCTEST_CHECK_EQ(b / 3.0, a);
return true;
}
static bool
Vector3DoubleTests_DotProduct()
{
geom::Vector3d a {1.0, 2.0, 3.0};
geom::Vector3d b {4.0, 5.0, 6.0};
SCTEST_CHECK_DEQ(a * b, 32.0);
return true;
}
static bool
Vector3DoubleTests_UnitVector()
{
// Test values randomly generated and calculated with numpy.
geom::Vector3d vec3 {5.320264018493507, 5.6541812891273935, 1.9233435162644652};
geom::Vector3d unit {0.6651669556972103, 0.7069150218815566, 0.24046636539587804};
geom::Vector3d unit2;
SCTEST_CHECK_EQ(vec3.unitVector(), unit);
SCTEST_CHECK_FALSE(vec3.isUnitVector());
SCTEST_CHECK(unit.isUnitVector());
SCTEST_CHECK(unit2.isUnitVector());
return true;
}
static bool
Vector3DoubleTests_Angle()
{
geom::Vector3d a {0.3977933061361172, 8.053980094436525, 8.1287759943773};
geom::Vector3d b {9.817895298608196, 4.034166890407462, 4.37628316513266};
geom::Vector3d c {7.35, 0.221, 5.188};
geom::Vector3d d {2.751, 8.259, 3.985};
SCTEST_CHECK_DEQ(a.angle(b), 0.9914540426033251);
if (!scmp::WithinTolerance(c.angle(d), (double)1.052, (double)0.001)) {
return false;
}
return true;
}
static bool
Vector3DoubleTests_ParallelOrthogonalVectors()
{
geom::Vector3d a {-2.029, 9.97, 4.172};
geom::Vector3d b {-9.231, -6.639, -7.245};
geom::Vector3d c {-2.328, -7.284, -1.214};
geom::Vector3d d {-1.821, 1.072, -2.94};
geom::Vector3d e {-2.0, 1.0, 3.0};
geom::Vector3d f {-6.0, 3.0, 9.0};
geom::Vector3d zeroVector {0.0, 0.0, 0.0};
SCTEST_CHECK_FALSE(a.isParallel(b));
SCTEST_CHECK_FALSE(a.isOrthogonal(b));
SCTEST_CHECK_FALSE(c.isParallel(d));
SCTEST_CHECK(c.isOrthogonal(d));
SCTEST_CHECK(e.isParallel(f));
SCTEST_CHECK_FALSE(e.isOrthogonal(f));
SCTEST_CHECK(zeroVector.isZero());
SCTEST_CHECK(c.isParallel(zeroVector));
SCTEST_CHECK(c.isOrthogonal(zeroVector));
return true;
}
static bool
Vector3DoubleTests_Projections()
{
geom::Vector3d a {4.866769214609107, 6.2356222686140566, 9.140878417029711};
geom::Vector3d b {6.135533104801077, 8.757851406697895, 0.6738031370548048};
geom::Vector3d c {4.843812341655318, 6.9140509888133055, 0.5319465962229454};
geom::Vector3d d {0.02295687295378901, -0.6784287201992489, 8.608931820806765};
SCTEST_CHECK_EQ(a.projectParallel(b), c);
SCTEST_CHECK_EQ(a.projectOrthogonal(b), d);
return true;
}
static bool
Vector3DoubleTests_CrossProduct()
{
geom::Vector3d a {8.462, 7.893, -8.187};
geom::Vector3d b {6.984, -5.975, 4.778};
geom::Vector3d c {-11.2046, -97.6094, -105.685};
c.setEpsilon(0.001); // double trouble
SCTEST_CHECK_EQ(c, a.cross(b));
return true;
}
int
main()
{
SimpleSuite suite;
suite.AddTest("Vector3Miscellaneous_ExtractionOperator3d",
Vector3Miscellaneous_ExtractionOperator3d);
suite.AddTest("Vector3Miscellaneous_ExtractionOperator3f",
Vector3Miscellaneous_ExtractionOperator3f);
suite.AddTest("Vector3Miscellaneous_SetEpsilon",
Vector3Miscellaneous_SetEpsilon);
suite.AddTest("Vector3FloatTests_Magnitude",
Vector3FloatTests_Magnitude);
suite.AddTest("Vector3FloatTests_Equality",
Vector3FloatTests_Equality);
suite.AddTest("Vector3FloatTests_Addition",
Vector3FloatTests_Addition);
suite.AddTest("Vector3FloatTests_Subtraction",
Vector3FloatTests_Subtraction);
suite.AddTest("Vector3FloatTests_ScalarMultiplication",
Vector3FloatTests_ScalarMultiplication);
suite.AddTest("Vector3FloatTests_ScalarDivision",
Vector3FloatTests_ScalarDivision);
suite.AddTest("Vector3FloatTests_DotProduct",
Vector3FloatTests_DotProduct);
suite.AddTest("Vector3FloatTests_UnitVector",
Vector3FloatTests_UnitVector);
suite.AddTest("Vector3FloatTests_Angle",
Vector3FloatTests_Angle);
suite.AddTest("Vector3FloatTests_ParallelOrthogonalVectors",
Vector3FloatTests_ParallelOrthogonalVectors);
suite.AddTest("Vector3FloatTests_Projections",
Vector3FloatTests_Projections);
suite.AddTest("Vector3FloatTests_CrossProduct",
Vector3FloatTests_CrossProduct);
suite.AddTest("Vector3DoubleTests_Magnitude",
Vector3DoubleTests_Magnitude);
suite.AddTest("Vector3DoubleTests_Equality",
Vector3DoubleTests_Equality);
suite.AddTest("Vector3DoubleTests_Addition",
Vector3DoubleTests_Addition);
suite.AddTest("Vector3DoubleTests_Subtraction",
Vector3DoubleTests_Subtraction);
suite.AddTest("Vector3DoubleTests_ScalarMultiplication",
Vector3DoubleTests_ScalarMultiplication);
suite.AddTest("Vector3DoubleTests_ScalarDivision",
Vector3DoubleTests_ScalarDivision);
suite.AddTest("Vector3DoubleTests_DotProduct",
Vector3DoubleTests_DotProduct);
suite.AddTest("Vector3DoubleTests_UnitVector",
Vector3DoubleTests_UnitVector);
suite.AddTest("Vector3DoubleTests_Angle",
Vector3DoubleTests_Angle);
suite.AddTest("Vector3DoubleTests_ParallelOrthogonalVectors",
Vector3DoubleTests_ParallelOrthogonalVectors);
suite.AddTest("Vector3DoubleTests_Projections",
Vector3DoubleTests_Projections);
suite.AddTest("Vector3DoubleTests_CrossProduct",
Vector3DoubleTests_CrossProduct);
auto result = suite.Run();
std::cout << suite.GetReport() << "\n";
return result ? 0 : 1;
}