| 1 | /// @ref gtx_vector_query |
| 2 | |
| 3 | #include <cassert> |
| 4 | |
| 5 | namespace glm{ |
| 6 | namespace detail |
| 7 | { |
| 8 | template<length_t L, typename T, qualifier Q> |
| 9 | struct compute_areCollinear{}; |
| 10 | |
| 11 | template<typename T, qualifier Q> |
| 12 | struct compute_areCollinear<2, T, Q> |
| 13 | { |
| 14 | GLM_FUNC_QUALIFIER static bool call(vec<2, T, Q> const& v0, vec<2, T, Q> const& v1, T const& epsilon) |
| 15 | { |
| 16 | return length(cross(vec<3, T, Q>(v0, static_cast<T>(0)), vec<3, T, Q>(v1, static_cast<T>(0)))) < epsilon; |
| 17 | } |
| 18 | }; |
| 19 | |
| 20 | template<typename T, qualifier Q> |
| 21 | struct compute_areCollinear<3, T, Q> |
| 22 | { |
| 23 | GLM_FUNC_QUALIFIER static bool call(vec<3, T, Q> const& v0, vec<3, T, Q> const& v1, T const& epsilon) |
| 24 | { |
| 25 | return length(cross(v0, v1)) < epsilon; |
| 26 | } |
| 27 | }; |
| 28 | |
| 29 | template<typename T, qualifier Q> |
| 30 | struct compute_areCollinear<4, T, Q> |
| 31 | { |
| 32 | GLM_FUNC_QUALIFIER static bool call(vec<4, T, Q> const& v0, vec<4, T, Q> const& v1, T const& epsilon) |
| 33 | { |
| 34 | return length(cross(vec<3, T, Q>(v0), vec<3, T, Q>(v1))) < epsilon; |
| 35 | } |
| 36 | }; |
| 37 | |
| 38 | template<length_t L, typename T, qualifier Q> |
| 39 | struct compute_isCompNull{}; |
| 40 | |
| 41 | template<typename T, qualifier Q> |
| 42 | struct compute_isCompNull<2, T, Q> |
| 43 | { |
| 44 | GLM_FUNC_QUALIFIER static vec<2, bool, Q> call(vec<2, T, Q> const& v, T const& epsilon) |
| 45 | { |
| 46 | return vec<2, bool, Q>( |
| 47 | (abs(v.x) < epsilon), |
| 48 | (abs(v.y) < epsilon)); |
| 49 | } |
| 50 | }; |
| 51 | |
| 52 | template<typename T, qualifier Q> |
| 53 | struct compute_isCompNull<3, T, Q> |
| 54 | { |
| 55 | GLM_FUNC_QUALIFIER static vec<3, bool, Q> call(vec<3, T, Q> const& v, T const& epsilon) |
| 56 | { |
| 57 | return vec<3, bool, Q>( |
| 58 | (abs(v.x) < epsilon), |
| 59 | (abs(v.y) < epsilon), |
| 60 | (abs(v.z) < epsilon)); |
| 61 | } |
| 62 | }; |
| 63 | |
| 64 | template<typename T, qualifier Q> |
| 65 | struct compute_isCompNull<4, T, Q> |
| 66 | { |
| 67 | GLM_FUNC_QUALIFIER static vec<4, bool, Q> call(vec<4, T, Q> const& v, T const& epsilon) |
| 68 | { |
| 69 | return vec<4, bool, Q>( |
| 70 | (abs(v.x) < epsilon), |
| 71 | (abs(v.y) < epsilon), |
| 72 | (abs(v.z) < epsilon), |
| 73 | (abs(v.w) < epsilon)); |
| 74 | } |
| 75 | }; |
| 76 | |
| 77 | }//namespace detail |
| 78 | |
| 79 | template<length_t L, typename T, qualifier Q> |
| 80 | GLM_FUNC_QUALIFIER bool areCollinear(vec<L, T, Q> const& v0, vec<L, T, Q> const& v1, T const& epsilon) |
| 81 | { |
| 82 | static_assert(std::numeric_limits<T>::is_iec559, "'areCollinear' only accept floating-point inputs"); |
| 83 | |
| 84 | return detail::compute_areCollinear<L, T, Q>::call(v0, v1, epsilon); |
| 85 | } |
| 86 | |
| 87 | template<length_t L, typename T, qualifier Q> |
| 88 | GLM_FUNC_QUALIFIER bool areOrthogonal(vec<L, T, Q> const& v0, vec<L, T, Q> const& v1, T const& epsilon) |
| 89 | { |
| 90 | static_assert(std::numeric_limits<T>::is_iec559, "'areOrthogonal' only accept floating-point inputs"); |
| 91 | |
| 92 | return abs(dot(v0, v1)) <= max( |
| 93 | static_cast<T>(1), |
| 94 | length(v0)) * max(static_cast<T>(1), length(v1)) * epsilon; |
| 95 | } |
| 96 | |
| 97 | template<length_t L, typename T, qualifier Q> |
| 98 | GLM_FUNC_QUALIFIER bool isNormalized(vec<L, T, Q> const& v, T const& epsilon) |
| 99 | { |
| 100 | static_assert(std::numeric_limits<T>::is_iec559, "'isNormalized' only accept floating-point inputs"); |
| 101 | |
| 102 | return abs(length(v) - static_cast<T>(1)) <= static_cast<T>(2) * epsilon; |
| 103 | } |
| 104 | |
| 105 | template<length_t L, typename T, qualifier Q> |
| 106 | GLM_FUNC_QUALIFIER bool isNull(vec<L, T, Q> const& v, T const& epsilon) |
| 107 | { |
| 108 | static_assert(std::numeric_limits<T>::is_iec559, "'isNull' only accept floating-point inputs"); |
| 109 | |
| 110 | return length(v) <= epsilon; |
| 111 | } |
| 112 | |
| 113 | template<length_t L, typename T, qualifier Q> |
| 114 | GLM_FUNC_QUALIFIER vec<L, bool, Q> isCompNull(vec<L, T, Q> const& v, T const& epsilon) |
| 115 | { |
| 116 | static_assert(std::numeric_limits<T>::is_iec559, "'isCompNull' only accept floating-point inputs"); |
| 117 | |
| 118 | return detail::compute_isCompNull<L, T, Q>::call(v, epsilon); |
| 119 | } |
| 120 | |
| 121 | template<typename T, qualifier Q> |
| 122 | GLM_FUNC_QUALIFIER vec<2, bool, Q> isCompNull(vec<2, T, Q> const& v, T const& epsilon) |
| 123 | { |
| 124 | return vec<2, bool, Q>( |
| 125 | abs(v.x) < epsilon, |
| 126 | abs(v.y) < epsilon); |
| 127 | } |
| 128 | |
| 129 | template<typename T, qualifier Q> |
| 130 | GLM_FUNC_QUALIFIER vec<3, bool, Q> isCompNull(vec<3, T, Q> const& v, T const& epsilon) |
| 131 | { |
| 132 | return vec<3, bool, Q>( |
| 133 | abs(v.x) < epsilon, |
| 134 | abs(v.y) < epsilon, |
| 135 | abs(v.z) < epsilon); |
| 136 | } |
| 137 | |
| 138 | template<typename T, qualifier Q> |
| 139 | GLM_FUNC_QUALIFIER vec<4, bool, Q> isCompNull(vec<4, T, Q> const& v, T const& epsilon) |
| 140 | { |
| 141 | return vec<4, bool, Q>( |
| 142 | abs(v.x) < epsilon, |
| 143 | abs(v.y) < epsilon, |
| 144 | abs(v.z) < epsilon, |
| 145 | abs(v.w) < epsilon); |
| 146 | } |
| 147 | |
| 148 | template<length_t L, typename T, qualifier Q> |
| 149 | GLM_FUNC_QUALIFIER bool areOrthonormal(vec<L, T, Q> const& v0, vec<L, T, Q> const& v1, T const& epsilon) |
| 150 | { |
| 151 | return isNormalized(v0, epsilon) && isNormalized(v1, epsilon) && (abs(dot(v0, v1)) <= epsilon); |
| 152 | } |
| 153 | |
| 154 | }//namespace glm |