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/*
* Copyright (c) 1995, 2011, Oracle and/or its affiliates. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
*
* - Redistributions of source code must retain the above copyright
* 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
* documentation and/or other materials provided with the distribution.
*
* - 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
* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
* EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
* PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
* PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
* LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
* NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
* SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
/*
* 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 + "]");
}
}
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