glmath.h

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#ifndef MATH_GLMATH_H
#define MATH_GLMATH_H

#include "common/rect.h"

#include "math/vector4d.h"
#include "math/matrix4.h"

namespace Math {

// function based on gluProject from Mesa 5.0 glu GPLv2+ licensed sources
template<typename T, typename S>
bool gluMathProject(Vector3d obj, const T model[16], const T proj[16], const S viewport[4], Vector3d &win) {
    Vector4d in, out;
    Matrix4 modelMatrix, projMatrix;

    in.set(obj.x(), obj.y(), obj.z(), 1.0);

    for (int i = 0; i < 4; i++) {
        modelMatrix(0, i) = model[0 * 4 + i];
        modelMatrix(1, i) = model[1 * 4 + i];
        modelMatrix(2, i) = model[2 * 4 + i];
        modelMatrix(3, i) = model[3 * 4 + i];
        projMatrix(0, i) = proj[0 * 4 + i];
        projMatrix(1, i) = proj[1 * 4 + i];
        projMatrix(2, i) = proj[2 * 4 + i];
        projMatrix(3, i) = proj[3 * 4 + i];
    }

    out = modelMatrix.transform(in);
    in = projMatrix.transform(out);
    if (in.w() == 0.0)
        return false;

    in.x() /= in.w();
    in.y() /= in.w();
    in.z() /= in.w();

    win.x() = viewport[0] + (1 + in.x()) * viewport[2] / 2;
    win.y() = viewport[1] + (1 + in.y()) * viewport[3] / 2;
    win.z() = (1 + in.z()) / 2;

    return true;
}

bool gluMathUnProject(Vector3d win, const Matrix4 &mvpMatrix, const Common::Rect &viewport, Vector3d &obj);

Matrix4 makePerspectiveMatrix(double fovy, double aspect, double zNear, double zFar);
Matrix4 makeFrustumMatrix(double left, double right, double bottom, double top, double zNear, double zFar);
Matrix4 makeLookAtMatrix(const Vector3d &eye, const Vector3d &center, const Vector3d &up);

}

#endif