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 * modification, are permitted provided that the following conditions

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 *

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 *     notice, this list of conditions and the following disclaimer.

 *

 *   - Redistributions in binary form must reproduce the above copyright

 *     notice, this list of conditions and the following disclaimer in the

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 *

 *   - Neither the name of Oracle nor the names of its

 *     contributors may be used to endorse or promote products derived

 *     from this software without specific prior written permission.

 *

 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS

 * IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO,

 * THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR

 * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE COPYRIGHT OWNER OR

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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.

 */

/** A fairly conventional 3D matrix object that can transform sets of

3D points and perform a variety of manipulations on the transform */

class Matrix3D {

    float xx, xy, xz, xo;

    float yx, yy, yz, yo;

    float zx, zy, zz, zo;

    static final double pi = 3.14159265;

    /** Create a new unit matrix */

    Matrix3D() {

        xx = 1.0f;

        yy = 1.0f;

        zz = 1.0f;

    }

    /** Scale by f in all dimensions */

    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;

    }

    /** Scale along each axis independently */

    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;

    }

    /** Translate the origin */

    void translate(float x, float y, float z) {

        xo += x;

        yo += y;

        zo += z;

    }

    /** rotate theta degrees about the y axis */

    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;

    }

    /** rotate theta degrees about the x axis */

    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;

    }

    /** rotate theta degrees about the z axis */

    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;

    }

    /** Multiply this matrix by a second: M = M*R */

    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;

    }

    /** Reinitialize to the unit matrix */

    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;

    }

    /** Transform nvert points from v into tv.  v contains the input

    coordinates in floating point.  Three successive entries in

    the array constitute a point.  tv ends up holding the transformed

    points as integers; three successive entries per point */

    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 + "]");

    }

}