📄 nyarfixedfloatrotmatrix.java
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/*
* PROJECT: NyARToolkit
* --------------------------------------------------------------------------------
* This work is based on the original ARToolKit developed by
* Hirokazu Kato
* Mark Billinghurst
* HITLab, University of Washington, Seattle
* http://www.hitl.washington.edu/artoolkit/
*
* The NyARToolkit is Java version ARToolkit class library.
* Copyright (C)2008 R.Iizuka
*
* This program is free software; you can redistribute it and/or
* modify it under the terms of the GNU General Public License
* as published by the Free Software Foundation; either version 2
* of the License, or (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this framework; if not, write to the Free Software
* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
*
* For further information please contact.
* http://nyatla.jp/nyatoolkit/
* <airmail(at)ebony.plala.or.jp>
*
*/
package jp.nyatla.nyartoolkit.sandbox.x2;
import jp.nyatla.nyartoolkit.NyARException;
import jp.nyatla.nyartoolkit.core.transmat.NyARTransMatResult;
import jp.nyatla.nyartoolkit.core.types.*;
import jp.nyatla.nyartoolkit.core.param.*;
import jp.nyatla.nyartoolkit.core2.types.*;
import jp.nyatla.nyartoolkit.core2.types.matrix.NyARFixedFloat24Matrix33;
/**
* 回転行列計算用の、3x3行列
*
*/
public class NyARFixedFloatRotMatrix extends NyARFixedFloat24Matrix33
{
private static int DIV0CANCEL=1;
/**
* インスタンスを準備します。
*
* @param i_param
*/
public NyARFixedFloatRotMatrix(NyARPerspectiveProjectionMatrix i_matrix) throws NyARException
{
this.__initRot_vec1 = new NyARFixedFloatRotVector(i_matrix);
this.__initRot_vec2 = new NyARFixedFloatRotVector(i_matrix);
return;
}
final private NyARFixedFloatRotVector __initRot_vec1;
final private NyARFixedFloatRotVector __initRot_vec2;
public final void initRotByPrevResult(NyARTransMatResult i_prev_result)
{
this.m00 =(long)(i_prev_result.m00*0x1000000);
this.m01 =(long)(i_prev_result.m01*0x1000000);
this.m02 =(long)(i_prev_result.m02*0x1000000);
this.m10 =(long)(i_prev_result.m10*0x1000000);
this.m11 =(long)(i_prev_result.m11*0x1000000);
this.m12 =(long)(i_prev_result.m12*0x1000000);
this.m20 =(long)(i_prev_result.m20*0x1000000);
this.m21 =(long)(i_prev_result.m21*0x1000000);
this.m22 =(long)(i_prev_result.m22*0x1000000);
return;
}
public final void initRotBySquare(final NyARLinear[] i_linear, final NyARFixedFloat16Point2d[] i_sqvertex) throws NyARException
{
final NyARFixedFloatRotVector vec1 = this.__initRot_vec1;
final NyARFixedFloatRotVector vec2 = this.__initRot_vec2;
// 向かい合った辺から、2本のベクトルを計算
// 軸1
vec1.exteriorProductFromLinear(i_linear[0], i_linear[2]);
vec1.checkVectorByVertex(i_sqvertex[0], i_sqvertex[1]);
// 軸2
vec2.exteriorProductFromLinear(i_linear[1], i_linear[3]);
vec2.checkVectorByVertex(i_sqvertex[3], i_sqvertex[0]);
// 回転の最適化?
NyARFixedFloatRotVector.checkRotation(vec1, vec2);
this.m00 = vec1.v1<<8;
this.m10 = vec1.v2<<8;
this.m20 = vec1.v3<<8;
this.m01 = vec2.v1<<8;
this.m11 = vec2.v2<<8;
this.m21 = vec2.v3<<8;
// 最後の軸を計算
final long w02 = (vec1.v2 * vec2.v3 - vec1.v3 * vec2.v2)>>16;//S16
final long w12 = (vec1.v3 * vec2.v1 - vec1.v1 * vec2.v3)>>16;//S16
final long w22 = (vec1.v1 * vec2.v2 - vec1.v2 * vec2.v1)>>16;//S16
final long w = NyMath.sqrtFixdFloat((w02 * w02 + w12 * w12 + w22 * w22)>>16,16);//S16
this.m02 = (w02<<24) / w;
this.m12 = (w12<<24) / w;
this.m22 = (w22<<24) / w;
return;
}
/**
* int arGetAngle( double rot[3][3], double *wa, double *wb, double *wc ) Optimize:2008.04.20:STEP[481→433] 3x3変換行列から、回転角を復元して返します。
*
* @param o_angle
* @return
*/
public final void getAngle(final NyARFixedFloat16Point3d o_angle)
{
int a, b, c;
long sina, cosa, sinb, cosb, sinc, cosc;
if (this.m22 > NyMath.FIXEDFLOAT24_1) {// <Optimize/>if( rot[2][2] > 1.0 ) {
this.m22 = NyMath.FIXEDFLOAT24_1;// <Optimize/>rot[2][2] = 1.0;
} else if (this.m22 < -NyMath.FIXEDFLOAT24_1) {// <Optimize/>}else if( rot[2][2] < -1.0 ) {
this.m22 = -NyMath.FIXEDFLOAT24_1;// <Optimize/>rot[2][2] = -1.0;
}
cosb = this.m22;// <Optimize/>cosb = rot[2][2];
b=NyMath.acosFixedFloat16((int)cosb);
sinb = (long)NyMath.sinFixedFloat24(b);
final long rot02 = this.m02;
final long rot12 = this.m12;
if (sinb!=0) {
cosa = (rot02<<24) / sinb;// <Optimize/>cosa = rot[0][2] / sinb;
sina = (rot12<<24) / sinb;// <Optimize/>sina = rot[1][2] / sinb;
if (cosa > NyMath.FIXEDFLOAT24_1) {
/* printf("cos(alph) = %f\n", cosa); */
cosa = NyMath.FIXEDFLOAT24_1;
sina = 0;
}
if (cosa < -NyMath.FIXEDFLOAT24_1) {
/* printf("cos(alph) = %f\n", cosa); */
cosa = -NyMath.FIXEDFLOAT24_1;
sina = 0;
}
if (sina > NyMath.FIXEDFLOAT24_1) {
/* printf("sin(alph) = %f\n", sina); */
sina = NyMath.FIXEDFLOAT24_1;
cosa = 0;
}
if (sina < -NyMath.FIXEDFLOAT24_1) {
/* printf("sin(alph) = %f\n", sina); */
sina = -NyMath.FIXEDFLOAT24_1;
cosa = 0;
}
a = (int)NyMath.acosFixedFloat16((int)cosa);
if (sina < 0) {
a = -a;
}
// <Optimize>
// sinc = (rot[2][1]*rot[0][2]-rot[2][0]*rot[1][2])/(rot[0][2]*rot[0][2]+rot[1][2]*rot[1][2]);
// cosc = -(rot[0][2]*rot[2][0]+rot[1][2]*rot[2][1])/(rot[0][2]*rot[0][2]+rot[1][2]*rot[1][2]);
final long tmp = DIV0CANCEL+((rot02 * rot02 + rot12 * rot12)>>24);
sinc = (this.m21 * rot02 - this.m20 * rot12) / tmp;
cosc = -(rot02 * this.m20 + rot12 * this.m21) / tmp;
// </Optimize>
if (cosc > NyMath.FIXEDFLOAT24_1){
/* printf("cos(r) = %f\n", cosc); */
cosc = NyMath.FIXEDFLOAT24_1;
sinc = 0;
}
if (cosc < -NyMath.FIXEDFLOAT24_1) {
/* printf("cos(r) = %f\n", cosc); */
cosc = -NyMath.FIXEDFLOAT24_1;
sinc = 0;
}
if (sinc > NyMath.FIXEDFLOAT24_1) {
/* printf("sin(r) = %f\n", sinc); */
sinc = NyMath.FIXEDFLOAT24_1;
cosc = 0;
}
if (sinc < -NyMath.FIXEDFLOAT24_1) {
/* printf("sin(r) = %f\n", sinc); */
sinc = -NyMath.FIXEDFLOAT24_1;
cosc = 0;
}
c = (int)NyMath.acosFixedFloat16((int)cosc);
if (sinc < 0) {
c = -c;
}
} else {
a = b = 0;
cosa = cosb = NyMath.FIXEDFLOAT24_1;
sina = sinb = 0;
cosc = this.m00;// cosc = rot[0];// <Optimize/>cosc = rot[0][0];
sinc = this.m01;// sinc = rot[1];// <Optimize/>sinc = rot[1][0];
if (cosc > NyMath.FIXEDFLOAT24_1) {
/* printf("cos(r) = %f\n", cosc); */
cosc = NyMath.FIXEDFLOAT24_1;
sinc = 0;
}
if (cosc < -NyMath.FIXEDFLOAT24_1) {
/* printf("cos(r) = %f\n", cosc); */
cosc = -NyMath.FIXEDFLOAT24_1;
sinc = 0;
}
if (sinc > NyMath.FIXEDFLOAT24_1) {
/* printf("sin(r) = %f\n", sinc); */
sinc = NyMath.FIXEDFLOAT24_1;
cosc = 0;
}
if (sinc < -NyMath.FIXEDFLOAT24_1) {
/* printf("sin(r) = %f\n", sinc); */
sinc = -NyMath.FIXEDFLOAT24_1;
cosc = 0;
}
c = (int)NyMath.acosFixedFloat16((int)cosc);
if (sinc < 0) {
c = -c;
}
}
o_angle.x = (long)a;// wa.value=a;//*wa = a;
o_angle.y = (long)b;// wb.value=b;//*wb = b;
o_angle.z = (long)c;// wc.value=c;//*wc = c;
return;
}
public final void setAngle(int i_x, int i_y, int i_z)
{
/*
* |cos(a) -sin(a) 0| |cos(b) 0 sin(b)| |cos(a-c) sin(a-c) 0| rot = |sin(a) cos(a) 0| |0 1 0 | |-sin(a-c) cos(a-c) 0| |0 0 1| |-sin(b) 0 cos(b)| |0 0 1|
*/
long Sa, Sb, Ca, Cb, Sac, Cac, CaCb, SaCb;
Sa = NyMath.sinFixedFloat24(i_x);
Ca = NyMath.cosFixedFloat24(i_x);
Sb = NyMath.sinFixedFloat24(i_y);
Cb = NyMath.cosFixedFloat24(i_y);
Sac = NyMath.sinFixedFloat24(i_x - i_z);
Cac = NyMath.cosFixedFloat24(i_x - i_z);
CaCb =(Ca * Cb)>>24;
SaCb =(Sa * Cb)>>24;
this.m00 =(CaCb * Cac + Sa * Sac)>>24;
this.m01 =(CaCb * Sac - Sa * Cac)>>24;
this.m02 =(Ca * Sb)>>24;
this.m10 =(SaCb * Cac - Ca * Sac)>>24;
this.m11 =(SaCb * Sac + Ca * Cac)>>24;
this.m12 =(Sa * Sb)>>24;
this.m20 =(-Sb * Cac)>>24;
this.m21 =(-Sb * Sac)>>24;
this.m22 =Cb;
return;
}
/**
* i_in_pointを変換行列で座標変換する。
*
* @param i_in_point
* @param i_out_point
*/
public final void getPoint3d(final NyARFixedFloat16Point3d i_in_point, final NyARFixedFloat16Point3d i_out_point)
{
i_out_point.x = (this.m00 * i_in_point.x + this.m01 * i_in_point.y + this.m02 * i_in_point.z)>>24;
i_out_point.y = (this.m10 * i_in_point.x + this.m11 * i_in_point.y + this.m12 * i_in_point.z)>>24;
i_out_point.z = (this.m20 * i_in_point.x + this.m21 * i_in_point.y + this.m22 * i_in_point.z)>>24;
return;
}
/**
* 複数の頂点を一括して変換する
*
* @param i_in_point
* @param i_out_point
* @param i_number_of_vertex
*/
public final void getPoint3dBatch(final NyARFixedFloat16Point3d[] i_in_point, NyARFixedFloat16Point3d[] i_out_point, int i_number_of_vertex)
{
for (int i = i_number_of_vertex - 1; i >= 0; i--) {
final NyARFixedFloat16Point3d out_ptr = i_out_point[i];
final NyARFixedFloat16Point3d in_ptr = i_in_point[i];
out_ptr.x =(this.m00 * in_ptr.x + this.m01 * in_ptr.y + this.m02 * in_ptr.z)>>24;
out_ptr.y =(this.m10 * in_ptr.x + this.m11 * in_ptr.y + this.m12 * in_ptr.z)>>24;
out_ptr.z =(this.m20 * in_ptr.x + this.m21 * in_ptr.y + this.m22 * in_ptr.z)>>24;
}
return;
}
}
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