initial commit. math using arbitrary length vectorsHEADmaster

2 files changed, 181 insertions, 0 deletions

diff --git a/README.MD b/README.MD
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+# MATHVECTOR
+A simple C++ library for arbitrary length mathematical vectors. All functions
+and member classes lie in the mvec namespace
+
+## Use
+Add mvector.hpp to your project, make a new vector using
+```
+mvec::vec<double, 2>
+```
+or
+```
+mvec;:vec2<double>
+```
+mvec comes with multiple pre-built vector types. for vectors of length 2-4.
+
+Each pre-made vectors include x,y,z,w members that can access their respective
+indices in the vector
diff --git a/mvector.hpp b/mvector.hpp
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+#ifndef MATH_VECTOR_HPP
+#define MATH_VECTOR_HPP 1
+
+#include <concepts>
+#include <array>
+
+namespace mvec
+{
+
+template<typename T, std::size_t S>
+    requires(std::is_arithmetic_v<T>)
+class vec
+{
+protected:
+    std::array<T, S> v;
+public:
+    constexpr vec(const std::array<T, S> &vs)
+        : v(vs)
+    {}
+    constexpr vec(T vs)
+        : v(vs)
+    {}
+
+    template<std::size_t S2>
+    constexpr vec &operator+=(const vec<T, S2> &rhs) {
+        for(std::size_t i = 0; i < S2 && i < S; i++) v[i] += rhs[i];
+        return *this;
+    }
+
+    template<std::size_t S2>
+    constexpr vec &operator-=(const vec<T, S2> &rhs) {
+        for(std::size_t i = 0; i < S2 && i < S; i++) v[i] -= rhs[i];
+        return *this;
+    }
+    template<std::size_t S2>
+    constexpr vec &operator*=(const vec<T, S2> &rhs) {
+        for(std::size_t i = 0; i < S2 && i < S; i++) v[i] *= rhs[i];
+        return *this;
+    }
+    template<std::size_t S2>
+    constexpr vec &operator/=(const vec<T, S2> &rhs) {
+        for(std::size_t i = 0; i < S2 && i < S; i++) v[i] /= rhs[i];
+        return *this;
+    }
+
+    template<std::size_t S2>
+    friend constexpr vec operator+(vec lhs, const vec<T, S2> &rhs) {
+        lhs += rhs;
+        return lhs;
+    }
+    template<std::size_t S2>
+    friend constexpr vec operator-(vec lhs, const vec<T, S2> &rhs) {
+        lhs -= rhs;
+        return lhs;
+    }
+    template<std::size_t S2>
+    friend constexpr vec operator*(vec lhs, const vec<T, S2> &rhs) {
+        lhs *= rhs;
+        return lhs;
+    }
+    template<std::size_t S2>
+    friend constexpr vec operator/(vec lhs, const vec<T, S2> &rhs) {
+        lhs /= rhs;
+        return lhs;
+    }
+    
+    constexpr T &operator[](std::size_t i) {
+        return v[i];
+    }
+    constexpr T operator[](std::size_t i) const {
+        return v[i];
+    }
+};
+
+template<typename T>
+    requires(std::is_arithmetic_v<T>)
+class vec2 final : public vec<T, 2>
+{
+public:
+    T &x;
+    T &y;
+
+    constexpr vec2(T X, T Y) :
+        vec<T, 2>(std::array<T, 2>{X, Y}), 
+        x(this->v[0]), 
+        y(this->v[1]) 
+    {}
+    constexpr vec2(std::array<T, 2> vs) :
+        vec<T, 2>(vs), 
+        x(this->v[0]), 
+        y(this->v[1]) 
+    {}
+    constexpr vec2(T vs) :
+        vec<T, 2>(vs), 
+        x(this->v[0]), 
+        y(this->v[1]) 
+    {}
+};
+
+template<typename T>
+    requires(std::is_arithmetic_v<T>)
+class vec3 final : public vec<T, 3>
+{
+public:
+    T &x;
+    T &y;
+    T &z;
+
+    constexpr vec3(T X, T Y, T Z) :
+        vec<T, 3>(std::array<T, 3>{X, Y, Z}), 
+        x(this->v[0]), 
+        y(this->v[1]),
+        z(this->v[2])
+    {}
+    constexpr vec3(std::array<T, 3> vs) :
+        vec<T, 3>(vs), 
+        x(this->v[0]), 
+        y(this->v[1]),
+        z(this->v[2])
+    {}
+    constexpr vec3(T vs) :
+        vec<T, 3>(vs), 
+        x(this->v[0]), 
+        y(this->v[1]),
+        z(this->v[2])
+    {}
+};
+
+template<typename T>
+    requires(std::is_arithmetic_v<T>)
+class vec4 final : public vec<T, 4>
+{
+public:
+    T &x;
+    T &y;
+    T &z;
+    T &w;
+
+    constexpr vec4(T X, T Y, T Z, T W) :
+        vec<T, 4>(std::array<T, 4>{X, Y, Z, W}), 
+        x(this->v[0]), 
+        y(this->v[1]),
+        z(this->v[2]),
+        w(this->v[3])
+    {}
+    constexpr vec4(std::array<T, 4> vs) :
+        vec<T, 4>(vs), 
+        x(this->v[0]), 
+        y(this->v[1]),
+        z(this->v[2]),
+        w(this->v[3])
+    {}
+    constexpr vec4(T vs) :
+        vec<T, 4>(vs), 
+        x(this->v[0]), 
+        y(this->v[1]),
+        z(this->v[2]),
+        w(this->v[3])
+    {}
+};
+
+}
+
+#endif