165 lines
3.8 KiB
C++
Executable File
165 lines
3.8 KiB
C++
Executable File
#include "Math.h"
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#include <exception>
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namespace ZL {
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Vector2f operator+(const Vector2f& x, const Vector2f& y)
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{
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Vector2f result;
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result.v[0] = x.v[0] + y.v[0];
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result.v[1] = x.v[1] + y.v[1];
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return result;
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}
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Vector2f operator-(const Vector2f& x, const Vector2f& y)
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{
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Vector2f result;
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result.v[0] = x.v[0] - y.v[0];
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result.v[1] = x.v[1] - y.v[1];
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return result;
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}
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Matrix4f Matrix4f::Identity()
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{
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Matrix4f r;
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r.m[0] = 1.f;
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r.m[1] = 0.f;
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r.m[2] = 0.f;
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r.m[3] = 0.f;
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r.m[4] = 0.f;
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r.m[5] = 1.f;
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r.m[6] = 0.f;
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r.m[7] = 0.f;
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r.m[8] = 0.f;
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r.m[9] = 0.f;
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r.m[10] = 1.f;
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r.m[11] = 0.f;
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r.m[12] = 0.f;
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r.m[13] = 0.f;
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r.m[14] = 0.f;
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r.m[15] = 1.f;
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return r;
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}
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Matrix4f operator*(const Matrix4f& m1, const Matrix4f& m2)
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{
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Matrix4f r;
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r.m[0] = m1.m[0] * m2.m[0] + m1.m[4] * m2.m[1] + m1.m[8] * m2.m[2] + m1.m[12] * m2.m[3];
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r.m[1] = m1.m[1] * m2.m[0] + m1.m[5] * m2.m[1] + m1.m[9] * m2.m[2] + m1.m[13] * m2.m[3];
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r.m[2] = m1.m[2] * m2.m[0] + m1.m[6] * m2.m[1] + m1.m[10] * m2.m[2] + m1.m[14] * m2.m[3];
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r.m[3] = m1.m[3] * m2.m[0] + m1.m[7] * m2.m[1] + m1.m[11] * m2.m[2] + m1.m[15] * m2.m[3];
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r.m[4] = m1.m[0] * m2.m[4] + m1.m[4] * m2.m[5] + m1.m[8] * m2.m[6] + m1.m[12] * m2.m[7];
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r.m[5] = m1.m[1] * m2.m[4] + m1.m[5] * m2.m[5] + m1.m[9] * m2.m[6] + m1.m[13] * m2.m[7];
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r.m[6] = m1.m[2] * m2.m[4] + m1.m[6] * m2.m[5] + m1.m[10] * m2.m[6] + m1.m[14] * m2.m[7];
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r.m[7] = m1.m[3] * m2.m[4] + m1.m[7] * m2.m[5] + m1.m[11] * m2.m[6] + m1.m[15] * m2.m[7];
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r.m[8] = m1.m[0] * m2.m[8] + m1.m[4] * m2.m[9] + m1.m[8] * m2.m[10] + m1.m[12] * m2.m[11];
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r.m[9] = m1.m[1] * m2.m[8] + m1.m[5] * m2.m[9] + m1.m[9] * m2.m[10] + m1.m[13] * m2.m[11];
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r.m[10] = m1.m[2] * m2.m[8] + m1.m[6] * m2.m[9] + m1.m[10] * m2.m[10] + m1.m[14] * m2.m[11];
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r.m[11] = m1.m[3] * m2.m[8] + m1.m[7] * m2.m[9] + m1.m[11] * m2.m[10] + m1.m[15] * m2.m[11];
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r.m[12] = m1.m[0] * m2.m[12] + m1.m[4] * m2.m[13] + m1.m[8] * m2.m[14] + m1.m[12] * m2.m[15];
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r.m[13] = m1.m[1] * m2.m[12] + m1.m[5] * m2.m[13] + m1.m[9] * m2.m[14] + m1.m[13] * m2.m[15];
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r.m[14] = m1.m[2] * m2.m[12] + m1.m[6] * m2.m[13] + m1.m[10] * m2.m[14] + m1.m[14] * m2.m[15];
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r.m[15] = m1.m[3] * m2.m[12] + m1.m[7] * m2.m[13] + m1.m[11] * m2.m[14] + m1.m[15] * m2.m[15];
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return r;
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}
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Matrix4f MakeOrthoMatrix(float width, float height, float zNear, float zFar)
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{
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float depthRange = zFar - zNear;
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if (depthRange <= 0)
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{
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throw std::exception("zFar must be greater than zNear");
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}
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Matrix4f r;
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r.m[0] = 2.f / width;
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r.m[1] = 0;
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r.m[2] = 0;
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r.m[3] = 0;
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r.m[4] = 0;
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r.m[5] = 2.f / height;
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r.m[6] = 0;
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r.m[7] = 0;
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r.m[8] = 0;
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r.m[9] = 0;
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r.m[10] = -1 / depthRange;
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r.m[11] = 0;
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r.m[12] = -1;
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r.m[13] = -1;
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r.m[14] = zNear / depthRange;
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r.m[15] = 1;
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return r;
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}
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Matrix3f QuatToMatrix(const Vector4f& q)
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{
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Matrix3f m;
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float wx, wy, wz, xx, yy, yz, xy, xz, zz, s, x2, y2, z2;
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s = 2.0f / (q.v[0] * q.v[0] + q.v[1] * q.v[1] + q.v[2] * q.v[2] + q.v[3] * q.v[3]);
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x2 = q.v[0] * s;
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y2 = q.v[1] * s;
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z2 = q.v[2] * s;
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wx = q.v[3] * x2; wy = q.v[3] * y2; wz = q.v[3] * z2;
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xx = q.v[0] * x2; xy = q.v[1] * x2; xz = q.v[2] * x2;
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yy = q.v[1] * y2; yz = q.v[2] * y2;
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zz = q.v[2] * z2;
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m.m[0] = 1.0f - (yy + zz);
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m.m[1] = xy + wz;
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m.m[2] = xz - wy;
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m.m[3] = xy - wz;
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m.m[4] = 1.0f - (xx + zz);
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m.m[5] = yz + wx;
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m.m[6] = xz + wy;
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m.m[7] = yz - wx;
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m.m[8] = 1.0f - (xx + yy);
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return m;
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}
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Vector4f QuatFromRotateAroundZ(float angle)
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{
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Vector4f result;
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result.v[0] = 0.f;
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result.v[1] = 0.f;
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result.v[2] = sinf(angle * 0.5f);
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result.v[3] = cosf(angle * 0.5f);
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return result;
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}
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};
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