cpp-mathmatic-vector/test/vector_test.cxx

//
//  vector_test.cpp
//  vector
//
//  Created by Sam Jaffe on 6/2/18.
//

#include <gmock/gmock.h>

#include "math/vector/vector.hpp"

template <typename T, size_t N> math::vector::vector<T, N> iota() {
  math::vector::vector<T, N> rval;
  for (size_t i = 0; i < N; ++i)
    rval[i] = static_cast<T>(i + 1);
  return rval;
}

using vec2i = math::vector::vector<int, 2>;
using vec3 = math::vector::vector<double, 3>;
using vec3i = math::vector::vector<int, 3>;
using vec4i = math::vector::vector<int, 4>;

vec2i iota2i() { return iota<int, 2>(); }
vec3i iota3i() { return iota<int, 3>(); }

TEST(Vector, Equality) {
  EXPECT_THAT((iota3i()), vec3i({1, 2, 3}));
  EXPECT_THAT((iota3i()), ::testing::Not(vec3i({0, 2, 3})));
}

TEST(Vector, DefaultConstructorIsAllZero) {
  EXPECT_THAT(vec3i(), vec3i({0, 0, 0}));
}

TEST(Vector, FillConstructorInsertsAllElements) {
  EXPECT_THAT(vec3i(1, math::vector::fill), vec3i({1, 1, 1}));
}

TEST(Vector, ExtensionConstructorAppendsZeros) {
  EXPECT_THAT(vec4i(iota3i()), vec4i({1, 2, 3, 0}));
}

TEST(Vector, CanAccessVectorElements) {
  math::vector::vector<int, 3> viota = iota3i();
  EXPECT_THAT(viota[0], 1);
  EXPECT_THAT(viota[1], 2);
  EXPECT_THAT(viota[2], 3);
}

TEST(Vector, AccessingOutOfRangeThrows) {
  EXPECT_THROW(iota3i().at(3), std::out_of_range);
}

TEST(Vector, CrossProduct2DHasOnlyZElement) {
  EXPECT_THAT(vec2i({1, 1}).cross(vec2i({-1, 1})), vec3i({0, 0, 2}));
}

TEST(Vector, CrossProduct3DHasAllElements) {
  EXPECT_THAT(vec3i({1, 1, 2}).cross(vec3i({-1, 1, 1})), vec3i({-1, -3, 2}));
}

TEST(Vector, AdditionIsPiecewise) {
  EXPECT_THAT((vec2i{{1, 0}} + vec2i{{0, 1}}), vec2i({1, 1}));
}

TEST(Vector, SubtractionIsPiecewise) {
  EXPECT_THAT((vec2i{{1, 0}} - vec2i{{0, 1}}), vec2i({1, -1}));
}

TEST(Vector, MultiplicationIsPiecewise) {
  EXPECT_THAT((vec2i{{1, 0}} * vec2i({2, 1})), vec2i({2, 0}));
}

TEST(Vector, DivisionIsPiecewise) {
  EXPECT_THAT((vec2i{{6, 4}} / vec2i({2, 1})), vec2i({3, 4}));
}

TEST(Vector, DivisionByZeroThrowsException) {
  EXPECT_THROW(vec3{} / 0, std::domain_error);
  EXPECT_THROW((vec3{{1.0, 1.0, 1.0}} / vec3({1.0, 0.5, 0.0})),
               std::domain_error);
}

TEST(Vector, AdditionWithValueType) {
  EXPECT_THAT(vec2i({1, 0}) + 1, vec2i({2, 1}));
  EXPECT_THAT(1 + iota2i(), vec2i({2, 3}));
}

TEST(Vector, SubtractionWithValueType) {
  EXPECT_THAT(4 - iota2i(), vec2i({3, 2}));
  EXPECT_THAT(vec2i({1, 0}) - 1, vec2i({0, -1}));
}

TEST(Vector, MultiplicationWithValueType) {
  EXPECT_THAT((vec2i{{1, 0}} * 3), vec2i({3, 0}));
  EXPECT_THAT(2 * iota2i(), vec2i({2, 4}));
}

TEST(Vector, DivisionWithValueType) {
  EXPECT_THAT((vec2i{{6, 4}} / 2), vec2i({3, 2}));
  //  EXPECT_THAT(4/iota2i(), (vec2i{4,2}));
}

TEST(Vector, OperatorPlusEqualsMutatesValue) {
  vec3i vec = iota3i();
  EXPECT_THAT(vec += iota3i(), vec3i({2, 4, 6}));
  EXPECT_THAT(vec, vec3i({2, 4, 6}));
  EXPECT_THAT(vec += 1, vec3i({3, 5, 7}));
  EXPECT_THAT(vec, vec3i({3, 5, 7}));
}

TEST(Vector, OperatorMinusEqualsMutatesValue) {
  vec3i vec = iota3i();
  EXPECT_THAT(vec -= 1, vec3i({0, 1, 2}));
  EXPECT_THAT(vec, vec3i({0, 1, 2}));
  EXPECT_THAT(vec -= iota3i(), vec3i({-1, -1, -1}));
  EXPECT_THAT(vec, vec3i({-1, -1, -1}));
}

TEST(Vector, MultiplicationWorksAcrossTypes) {
  EXPECT_THAT(iota3i() * 0.5, vec3({0.5, 1.0, 1.5}));
  EXPECT_THAT(0.5 * iota3i(), vec3({0.5, 1.0, 1.5}));
  EXPECT_THAT(vec3({2.0, 1.5, -2}) * iota3i(), vec3({2.0, 3.0, -6.0}));
}

TEST(Vector, DivisionWorksAcrossTypes) {
  EXPECT_THAT(iota3i() / 0.5, vec3({2.0, 4.0, 6.0}));
  EXPECT_THAT(iota3i() / vec3({2.0, 2.5, -2}), vec3({0.5, 0.8, -1.5}));
  EXPECT_THAT(vec3({2.0, 2.5, -3}) / iota3i(), vec3({2.0, 1.25, -1.0}));
}

TEST(Vector, Length) {
  //    EXPECT_THAT(iota3i().lengthSquared(), 14);
  EXPECT_THAT(iota3i().magnitude(),
              ::testing::DoubleNear(std::sqrt(14),
                                    std::numeric_limits<double>::epsilon()));
}

TEST(Vector, Distance) {
  //    EXPECT_THAT((iota3i().distanceSquared(vec3i{3, 1, -1})), 21);
  EXPECT_THAT((iota3i() - vec3i({3, 1, -1})).magnitude(),
              ::testing::DoubleNear(std::sqrt(21),
                                    std::numeric_limits<double>::epsilon()));
}

TEST(Vector, Projection) {
  EXPECT_THAT(iota3i().projection(vec3i({3, 1, -1})).magnitude(),
              ::testing::DoubleNear(std::sqrt(4.0 / 11.0),
                                    std::numeric_limits<double>::epsilon()));
}

TEST(Vector, DotProductIsSumOfElementProducts) {
  EXPECT_THAT(iota3i().dot(vec3i({3, 0, -1})), 0);
}

TEST(Vector, UnitFunctionCreatesNewVectorOverMagnitude) {
  double sq = std::sqrt(14);
  auto unit = iota3i().unit();
  EXPECT_THAT(unit[0], ::testing::DoubleNear(
                           1 / sq, std::numeric_limits<double>::epsilon()));
  EXPECT_THAT(unit[1], ::testing::DoubleNear(
                           2 / sq, std::numeric_limits<double>::epsilon()));
  EXPECT_THAT(unit[2], ::testing::DoubleNear(
                           3 / sq, std::numeric_limits<double>::epsilon()));
}

TEST(Vector, CanCastEntireVectorThroughConstructor) {
  EXPECT_THAT(vec3i(vec3({1.0, 2.3, 3.9})), iota3i());
}

TEST(Vector, SwapExchangesAllValues) {
  using std::swap;
  vec2i a{{1, 2}};
  const vec2i ac = a;
  vec2i b{{5, 7}};
  const vec2i bc = b;
  swap(a, b);
  EXPECT_THAT(a, bc);
  EXPECT_THAT(b, ac);
}

TEST(Vector, UnaryNegateOperatorNegatesAllElements) {
  EXPECT_THAT(-iota3i(), vec3i({-1, -2, -3}));
}

TEST(Vector, AbsoluteValueOfVectorAbsAllElements) {
  EXPECT_THAT(iota3i(), abs(-iota3i()));
}

TEST(Vector, MakeVectorAllowsConstuctionFromVariadicComponents) {
  EXPECT_TRUE((std::is_same<vec2i, decltype(make_vector(1, 2))>::value));
  EXPECT_THAT(iota2i(), make_vector(1, 2));
  EXPECT_FALSE((std::is_same<vec2i, decltype(make_vector(1, 2, 3))>::value));
  EXPECT_TRUE((std::is_same<vec3i, decltype(make_vector(1, 2, 3))>::value));
  EXPECT_THAT(iota3i(), make_vector(1, 2, 3));
}