Matrix3D.java

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 * modification, are permitted provided that the following conditions
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 *     notice, this list of conditions and the following disclaimer.
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 *     notice, this list of conditions and the following disclaimer in the
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 *     from this software without specific prior written permission.
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 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS
 * IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO,
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/*
 * This source code is provided to illustrate the usage of a given feature
 * or technique and has been deliberately simplified. Additional steps
 * required for a production-quality application, such as security checks,
 * input validation and proper error handling, might not be present in
 * this sample code.
 */
 
 
 
class Matrix3D {
 
    float xx, xy, xz, xo;
    float yx, yy, yz, yo;
    float zx, zy, zz, zo;
    static final double pi = 3.14159265;
 
    Matrix3D() {
        xx = 1.0f;
        yy = 1.0f;
        zz = 1.0f;
    }
 
    void scale(float f) {
        xx *= f;
        xy *= f;
        xz *= f;
        xo *= f;
        yx *= f;
        yy *= f;
        yz *= f;
        yo *= f;
        zx *= f;
        zy *= f;
        zz *= f;
        zo *= f;
    }
 
    void scale(float xf, float yf, float zf) {
        xx *= xf;
        xy *= xf;
        xz *= xf;
        xo *= xf;
        yx *= yf;
        yy *= yf;
        yz *= yf;
        yo *= yf;
        zx *= zf;
        zy *= zf;
        zz *= zf;
        zo *= zf;
    }
 
    void translate(float x, float y, float z) {
        xo += x;
        yo += y;
        zo += z;
    }
 
    void yrot(double theta) {
        theta *= (pi / 180);
        double ct = Math.cos(theta);
        double st = Math.sin(theta);
 
        float Nxx = (float) (xx * ct + zx * st);
        float Nxy = (float) (xy * ct + zy * st);
        float Nxz = (float) (xz * ct + zz * st);
        float Nxo = (float) (xo * ct + zo * st);
 
        float Nzx = (float) (zx * ct - xx * st);
        float Nzy = (float) (zy * ct - xy * st);
        float Nzz = (float) (zz * ct - xz * st);
        float Nzo = (float) (zo * ct - xo * st);
 
        xo = Nxo;
        xx = Nxx;
        xy = Nxy;
        xz = Nxz;
        zo = Nzo;
        zx = Nzx;
        zy = Nzy;
        zz = Nzz;
    }
 
    void xrot(double theta) {
        theta *= (pi / 180);
        double ct = Math.cos(theta);
        double st = Math.sin(theta);
 
        float Nyx = (float) (yx * ct + zx * st);
        float Nyy = (float) (yy * ct + zy * st);
        float Nyz = (float) (yz * ct + zz * st);
        float Nyo = (float) (yo * ct + zo * st);
 
        float Nzx = (float) (zx * ct - yx * st);
        float Nzy = (float) (zy * ct - yy * st);
        float Nzz = (float) (zz * ct - yz * st);
        float Nzo = (float) (zo * ct - yo * st);
 
        yo = Nyo;
        yx = Nyx;
        yy = Nyy;
        yz = Nyz;
        zo = Nzo;
        zx = Nzx;
        zy = Nzy;
        zz = Nzz;
    }
 
    void zrot(double theta) {
        theta *= (pi / 180);
        double ct = Math.cos(theta);
        double st = Math.sin(theta);
 
        float Nyx = (float) (yx * ct + xx * st);
        float Nyy = (float) (yy * ct + xy * st);
        float Nyz = (float) (yz * ct + xz * st);
        float Nyo = (float) (yo * ct + xo * st);
 
        float Nxx = (float) (xx * ct - yx * st);
        float Nxy = (float) (xy * ct - yy * st);
        float Nxz = (float) (xz * ct - yz * st);
        float Nxo = (float) (xo * ct - yo * st);
 
        yo = Nyo;
        yx = Nyx;
        yy = Nyy;
        yz = Nyz;
        xo = Nxo;
        xx = Nxx;
        xy = Nxy;
        xz = Nxz;
    }
 
    void mult(Matrix3D rhs) {
        float lxx = xx * rhs.xx + yx * rhs.xy + zx * rhs.xz;
        float lxy = xy * rhs.xx + yy * rhs.xy + zy * rhs.xz;
        float lxz = xz * rhs.xx + yz * rhs.xy + zz * rhs.xz;
        float lxo = xo * rhs.xx + yo * rhs.xy + zo * rhs.xz + rhs.xo;
 
        float lyx = xx * rhs.yx + yx * rhs.yy + zx * rhs.yz;
        float lyy = xy * rhs.yx + yy * rhs.yy + zy * rhs.yz;
        float lyz = xz * rhs.yx + yz * rhs.yy + zz * rhs.yz;
        float lyo = xo * rhs.yx + yo * rhs.yy + zo * rhs.yz + rhs.yo;
 
        float lzx = xx * rhs.zx + yx * rhs.zy + zx * rhs.zz;
        float lzy = xy * rhs.zx + yy * rhs.zy + zy * rhs.zz;
        float lzz = xz * rhs.zx + yz * rhs.zy + zz * rhs.zz;
        float lzo = xo * rhs.zx + yo * rhs.zy + zo * rhs.zz + rhs.zo;
 
        xx = lxx;
        xy = lxy;
        xz = lxz;
        xo = lxo;
 
        yx = lyx;
        yy = lyy;
        yz = lyz;
        yo = lyo;
 
        zx = lzx;
        zy = lzy;
        zz = lzz;
        zo = lzo;
    }
 
    void unit() {
        xo = 0;
        xx = 1;
        xy = 0;
        xz = 0;
        yo = 0;
        yx = 0;
        yy = 1;
        yz = 0;
        zo = 0;
        zx = 0;
        zy = 0;
        zz = 1;
    }
 
    void transform(float v[], int tv[], int nvert) {
        float lxx = xx, lxy = xy, lxz = xz, lxo = xo;
        float lyx = yx, lyy = yy, lyz = yz, lyo = yo;
        float lzx = zx, lzy = zy, lzz = zz, lzo = zo;
        for (int i = nvert * 3; (i -= 3) >= 0;) {
            float x = v[i];
            float y = v[i + 1];
            float z = v[i + 2];
            tv[i] = (int) (x * lxx + y * lxy + z * lxz + lxo);
            tv[i + 1] = (int) (x * lyx + y * lyy + z * lyz + lyo);
            tv[i + 2] = (int) (x * lzx + y * lzy + z * lzz + lzo);
        }
    }
 
    @Override
    public String toString() {
        return ("[" + xo + "," + xx + "," + xy + "," + xz + ";"
                + yo + "," + yx + "," + yy + "," + yz + ";"
                + zo + "," + zx + "," + zy + "," + zz + "]");
    }
}