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student-ar-org-libspark-flartoolkit-core-FLARMat.ax
student-ar-org-libspark-flartoolkit-core-FLARMat.ax
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/*
* PROJECT: FLARToolKit
* --------------------------------------------------------------------------------
* This work is based on the NyARToolKit developed by
* R.Iizuka (nyatla)
* http://nyatla.jp/nyatoolkit/
*
* The FLARToolKit is ActionScript 3.0 version ARToolkit class library.
* Copyright (C)2008 Saqoosha
*
* 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://www.libspark.org/wiki/saqoosha/FLARToolKit
* <saq(at)saqoosha.net>
*
*/
package org.libspark.flartoolkit.core {
import org.libspark.flartoolkit.FLARException;
import org.libspark.flartoolkit.utils.ArrayUtil;
ARMat構造体に対応するクラス typedef struct { double *m; int row; int clm; }ARMat;
public class @ax-student-ar-org-libspark-flartoolkit-core-FLARMat {
配列サイズと行列サイズは必ずしも一致しないことに注意 返された配列のサイズを行列の大きさとして使わないこと！
protected var m:Array;
// double[][]
private var clm:int;
private var row:int;
デフォルトコンストラクタは機能しません。
@throws FLARException
// protected function @ax-student-ar-org-libspark-flartoolkit-core-FLARMat()
// {
// throw new FLARException();
// }
public function @ax-student-ar-org-libspark-flartoolkit-core-FLARMat(i_row:int, i_clm:int) {
// m = new double[i_row][i_clm];
m = ArrayUtil.createJaggedArray(i_row, i_clm);
clm = i_clm;
row = i_row;
}
i_row x i_clmサイズの行列を格納できるように行列サイズを変更します。 実行後、行列の各値は不定になります。
parameter: i_row
parameter: i_clm
public function realloc(i_row:int, i_clm:int):void {
if (i_row <= this.m.length && i_clm <= this.m[0].length) {
// 十分な配列があれば何もしない。
} else {
// 不十分なら取り直す。
// m = new double[i_row][i_clm];
m = ArrayUtil.createJaggedArray(i_row, i_clm);
}
this.clm = i_clm;
this.row = i_row;
}
public function getClm():int {
return clm;
}
public function getRow():int {
return row;
}
行列をゼロクリアする。
public function zeroClear():void {
var i:int;
var i2:int;
// For順変更OK
for (i = row - 1;i >= 0; i--) {
for (i2 = clm - 1;i2 >= 0; i2--) {
m[i][i2] = 0.0;
}
}
}
i_copy_fromの内容を自分自身にコピーします。 高さ・幅は同一で無いと失敗します。
parameter: i_copy_from
public function copyFrom(i_copy_from:@ax-student-ar-org-libspark-flartoolkit-core-FLARMat):void {
// サイズ確認
if (this.row != i_copy_from.row || this.clm != i_copy_from.clm) {
throw new FLARException();
}
// 値コピー
var r:int;
var c:int;
for (r = this.row - 1;r >= 0; r--) {
for (c = this.clm - 1;c >= 0; c--) {
this.m[r][c] = i_copy_from.m[r][c];
}
}
}
public function getArray():Array {
return m;
}
// public void getRowVec(int i_row,FLARVec o_vec)
// {
// o_vec.set(this.m[i_row],this.clm);
// }
aとbの積を自分自身に格納する。arMatrixMul()の代替品
parameter: a
parameter: b
@throws FLARException
public function matrixMul(a:@ax-student-ar-org-libspark-flartoolkit-core-FLARMat, b:@ax-student-ar-org-libspark-flartoolkit-core-FLARMat):void {
if (a.clm != b.row || this.row != a.row || this.clm != b.clm) {
throw new FLARException();
}
var w:Number;
var r:int;
var c:int;
var i:int;
var am:Array = a.m;
var bm:Array = b.m;
var dm:Array = this.m;
// For順変更禁止
for (r = 0;r < this.row; r++) {
for (c = 0;c < this.clm; c++) {
w = 0.0;
// dest.setARELEM0(r, c,0.0);
for (i = 0;i < a.clm; i++) {
w += am[r][i] * bm[i][c];// ARELEM0(dest, r, c) +=ARELEM0(a, r, i) * ARELEM0(b,i, c);
}
dm[r][c] = w;
}
}
}
private var wk_nos_matrixSelfInv:Array = new Array(50);
// new int[50];
// private final static double matrixSelfInv_epsl=1.0e-10;
i_targetを逆行列に変換する。arMatrixSelfInv()と、arMatrixSelfInv_minv()関数を合成してあります。
OPTIMIZE STEP[485->422]
parameter: i_target
逆行列にする行列
returns: 逆行列があればTRUE/無ければFALSE
@throws FLARException
public function matrixSelfInv():Boolean {
var ap:Array = this.m;
var dimen:int = this.row;
var dimen_1:int = dimen - 1;
var ap_n:Array;
var ap_ip:Array;
var ap_i:Array;
var j:int;
var ip:int;
var nwork:int;
var nos:Array = wk_nos_matrixSelfInv;
// この関数で初期化される。
// double epsl;
var p:Number;
var pbuf:Number;
var work:Number;
/* check size */
switch (dimen) {
case 0:
throw new FLARException();
case 1:
ap[0][0] = 1.0 / ap[0][0];
// *ap = 1.0 / (*ap);
return true;/* 1 dimension */
}
for (var n:int = 0;n < dimen; n++) {
nos[n] = n;
}
/*
* nyatla memo ipが定まらないで計算が行われる場合があるので挿入。 ループ内で0初期化していいかが判らない。
*/
ip = 0;
// For順変更禁止
var i:int;
for (n = 0;n < dimen; n++) {
ap_n = ap[n];
// wcp = ap + n * rowa;
p = 0.0;
for (i = n;i < dimen; i++) {
// for(i = n, wap = wcp, p =
// 0.0; i < dimen ; i++, wap +=
// rowa)
if (p < (pbuf = Math.abs(ap[i][0]))) {
p = pbuf;
ip = i;
}
}
// if (p <= matrixSelfInv_epsl){
if (p == 0.0) {
return false;
// throw new FLARException();
}
nwork = nos[ip];
nos[ip] = nos[n];
nos[n] = nwork;
ap_ip = ap[ip];
for (j = 0;j < dimen; j++) {
// for(j = 0, wap = ap + ip * rowa,
// wbp = wcp; j < dimen ; j++) {
work = ap_ip[j];
// work = *wap;
ap_ip[j] = ap_n[j];
ap_n[j] = work;
}
work = ap_n[0];
for (j = 0;j < dimen_1; j++) {
// for(j = 1, wap = wcp, work =
// *wcp; j < dimen ; j++, wap++)
ap_n[j] = ap_n[j + 1] / work;// *wap = *(wap + 1) / work;
}
ap_n[j] = 1.0 / work;
// *wap = 1.0 / work;
for (i = 0;i < dimen; i++) {
if (i != n) {
ap_i = ap[i];
// wap = ap + i * rowa;
work = ap_i[0];
for (j = 0; j < dimen_1; j++) {
// for(j = 1, wbp = wcp,work = *wap;j < dimen ;j++, wap++, wbp++)
ap_i[j] = ap_i[j + 1] - work * ap_n[j];// wap = *(wap +1) - work *(*wbp);
}
ap_i[j] = -work * ap_n[j];// *wap = -work * (*wbp);
}
}
}
for (n = 0;n < dimen; n++) {
for (j = n;j < dimen; j++) {
if (nos[j] == n) {
break;
}
}
nos[j] = nos[n];
for (i = 0; i < dimen; i++) {
// for(i = 0, wap = ap + j, wbp
// = ap + n; i < dimen ;i++, wap
// += rowa, wbp += rowa) {
ap_i = ap[i];
work = ap_i[j];
// work = *wap;
ap_i[j] = ap_i[n];
// *wap = *wbp;
ap_i[n] = work;// *wbp = work;
}
}
return true;
}
sourceの転置行列をdestに得る。arMatrixTrans()の代替品
parameter: dest
parameter: source
@return
public static function matrixTrans(dest:@ax-student-ar-org-libspark-flartoolkit-core-FLARMat, source:@ax-student-ar-org-libspark-flartoolkit-core-FLARMat):void {
if (dest.row != source.clm || dest.clm != source.row) {
throw new FLARException();
}
FLARException.trap("未チェックのパス");
// For順変更禁止
var r:int;
var c:int;
for (r = 0; r < dest.row; r++) {
for (c = 0; c < dest.clm; c++) {
dest.m[r][c] = source.m[c][r];
}
}
}
unitを単位行列に初期化する。arMatrixUnitの代替品
parameter: unit
public static function matrixUnit(unit:@ax-student-ar-org-libspark-flartoolkit-core-FLARMat):void {
if (unit.row != unit.clm) {
throw new FLARException();
}
FLARException.trap("未チェックのパス");
// For順変更禁止
var r:int;
var c:int;
for (r = 0; r < unit.getRow(); r++) {
for (c = 0; c < unit.getClm(); c++) {
if (r == c) {
unit.m[r][c] = 1.0;
} else {
unit.m[r][c] = 0.0;
}
}
}
}
sourceの内容を自身に複製する。 Optimized 2008.04.19
parameter: i_source
@return
public function matrixDup(i_source:@ax-student-ar-org-libspark-flartoolkit-core-FLARMat):void {
// 自身の配列サイズを相手のそれより大きいことを保障する。
this.realloc(i_source.row, i_source.clm);
// 内容を転写
var r:int;
var c:int;
var src_m:Array;
var dest_m:Array;
src_m = i_source.m;
dest_m = this.m;
// コピーはFor順を変えてもOK
for (r = this.row - 1; r >= 0; r--) {
for (c = this.clm - 1; c >= 0; c--) {
dest_m[r][c] = src_m[r][c];
}
}
}
public function matrixAllocDup():@ax-student-ar-org-libspark-flartoolkit-core-FLARMat {
var result:@ax-student-ar-org-libspark-flartoolkit-core-FLARMat = new @ax-student-ar-org-libspark-flartoolkit-core-FLARMat(this.row, this.clm);
// コピー
var r:int;
var c:int;
var dest_m:Array;
var src_m:Array;
dest_m = result.m;
src_m = this.m;
// コピーはFor順を変えてもOK
for (r = this.row - 1; r >= 0; r--) {
for (c = this.clm - 1; c >= 0; c--) {
dest_m[r][c] = src_m[r][c];
}
}
return result;
}
arMatrixInv関数の代替品です。 destにsourceの逆行列を返します。
parameter: dest
parameter: source
@throws FLARException
public static function matrixInv(dest:@ax-student-ar-org-libspark-flartoolkit-core-FLARMat, source:@ax-student-ar-org-libspark-flartoolkit-core-FLARMat):void {
FLARException.trap("未チェックのパス");
dest.matrixDup(source);
FLARException.trap("未チェックのパス");
dest.matrixSelfInv();
}
public function matrixAllocInv():@ax-student-ar-org-libspark-flartoolkit-core-FLARMat {
FLARException.trap("未チェックのパス");
var result:@ax-student-ar-org-libspark-flartoolkit-core-FLARMat = matrixAllocDup();
FLARException.trap("未チェックのパス");
result.matrixSelfInv();
return result;
}
dim x dim の単位行列を作る。
parameter: dim
@return
@throws FLARException
public static function matrixAllocUnit(dim:int):@ax-student-ar-org-libspark-flartoolkit-core-FLARMat {
FLARException.trap("未チェックのパス");
var result:@ax-student-ar-org-libspark-flartoolkit-core-FLARMat = new @ax-student-ar-org-libspark-flartoolkit-core-FLARMat(dim, dim);
FLARException.trap("未チェックのパス");
@ax-student-ar-org-libspark-flartoolkit-core-FLARMat.matrixUnit(result);
return result;
}
arMatrixDispの代替品
parameter: m
@return
public function matrixDisp():int {
FLARException.trap("未チェックのパス");
// System.out.println(" === matrix (" + row + "," + clm + ") ===");// printf(" ===matrix (\%d,\%d) ===\n", m->row, m->clm);
// for (var r:int = 0; r < row; r++) {// for(int r = 0; r < m->row; r++) {
// System.out.print(" |");// printf(" |");
// for (var c:int = 0; c < clm; c++) {// for(int c = 0; c < m->clm; c++) {
// System.out.print(" " + m[r][c]);// printf(" %10g", ARELEM0(m, r, c));
// }
// System.out.println(" |");// printf(" |\n");
// }
// System.out.println(" ======================");// printf(" ======================\n");
return 0;
}
private static const PCA_EPS:Number = 1e-6;
// #define EPS 1e-6
private static const PCA_MAX_ITER:int = 100;
// #define MAX_ITER 100
private static const PCA_VZERO:Number = 1e-16;
// #define VZERO 1e-16
static int EX( ARMat *input, ARVec *mean )の代替関数 Optimize:STEP:[144->110]
parameter: input
parameter: mean
@return
@throws FLARException
private function PCA_EX(mean:FLARVec):void {
var lrow:int;
var lclm:int;
var i:int;
var i2:int;
lrow = this.row;
lclm = this.clm;
var lm:Array = this.m;
if (lrow <= 0 || lclm <= 0) {
throw new FLARException();
}
if (mean.getClm() != lclm) {
throw new FLARException();
}
// double[] mean_array=mean.getArray();
// mean.zeroClear();
const mean_array:Array = mean.getArray();
var w:Number;
// For順変更禁止
for (i2 = 0; i2 < lclm; i2++) {
w = 0.0;
for (i = 0; i < lrow; i++) {
// *(v++) += *(m++);
w += lm[i][i2];
}
mean_array[i2] = w / lrow;// mean->v[i] /= row;
}
}
static int CENTER( ARMat *inout, ARVec *mean )の代替関数
parameter: inout
parameter: mean
@return
private static function PCA_CENTER(inout:@ax-student-ar-org-libspark-flartoolkit-core-FLARMat, mean:FLARVec):void {
var v:Array;
var row:int;
var clm:int;
row = inout.getRow();
clm = inout.getClm();
if (mean.getClm() != clm) {
throw new FLARException();
}
var im:Array = inout.m;
var im_i:Array;
var w0:Number;
var w1:Number;
v = mean.getArray();
// 特にパフォーマンスが劣化するclm=1と2ときだけ、別パスで処理します。
var i:int;
var j:int;
switch (clm) {
case 1:
w0 = v[0];
for (i = 0;i < row; i++) {
im[i][0] -= w0;
}
break;
case 2:
w0 = v[0];
w1 = v[1];
for (i = 0;i < row; i++) {
im_i = im[i];
im_i[0] -= w0;
im_i[1] -= w1;
}
break;
default:
for (i = 0;i < row; i++) {
im_i = im[i];
for (j = 0;j < clm; j++) {
// *(m++) -= *(v++);
im_i[j] -= v[j];
}
}
break;
}
return;
}
int x_by_xt( ARMat *input, ARMat *output )の代替関数
parameter: input
parameter: output
@throws FLARException
private static function PCA_x_by_xt(input:@ax-student-ar-org-libspark-flartoolkit-core-FLARMat, output:@ax-student-ar-org-libspark-flartoolkit-core-FLARMat):void {
FLARException.trap("動作未チェック/配列化未チェック");
var row:int;
var clm:int;
// double[][] out;
var in1:Array;
var in2:Array;
FLARException.trap("未チェックのパス");
row = input.row;
clm = input.clm;
FLARException.trap("未チェックのパス");
if (output.row != row || output.clm != row) {
throw new FLARException();
}
// out = output.getArray();
var i:int;
var j:int;
var k:int;
for (i = 0; i < row; i++) {
for (j = 0; j < row; j++) {
if (j < i) {
FLARException.trap("未チェックのパス");
output.m[i][j] = output.m[j][i];// *out =
// output->m[j*row+i];
} else {
FLARException.trap("未チェックのパス");
in1 = input.m[i];
// input.getRowArray(i);//in1 = &(input->m[clm*i]);
in2 = input.m[j];
// input.getRowArray(j);//in2 = &(input->m[clm*j]);
output.m[i][j] = 0;
// *out = 0.0;
for (k = 0; k < clm; k++) {
output.m[i][j] += (in1[k] * in2[k]);// *out += *(in1++)
// * *(in2++);
}
}
// out.incPtr();
}
}
}
static int xt_by_x( ARMat *input, ARMat *output )の代替関数
Optimize:2008.04.19
parameter: input
parameter: i_output
@throws FLARException
private static function PCA_xt_by_x(input:@ax-student-ar-org-libspark-flartoolkit-core-FLARMat, i_output:@ax-student-ar-org-libspark-flartoolkit-core-FLARMat):void {
var in_:Array;
var row:int;
var clm:int;
row = input.row;
clm = input.clm;
if (i_output.row != clm || i_output.clm != clm) {
throw new FLARException();
}
var i:int;
var k:int;
var j:int;
var out_m:Array = i_output.m;
var w:Number;
for (i = 0; i < clm; i++) {
for (j = 0; j < clm; j++) {
if (j < i) {
out_m[i][j] = out_m[j][i];// *out = output->m[j*clm+i];
} else {
w = 0.0;
// *out = 0.0;
for (k = 0; k < row; k++) {
in_ = input.m[k];
// in=input.getRowArray(k);
w += (in_[i] * in_[j]);// *out += *in1 * *in2;
}
out_m[i][j] = w;
}
}
}
}
private const wk_PCA_QRM_ev:FLARVec = new FLARVec(1);
static int QRM( ARMat *a, ARVec *dv )の代替関数
parameter: a
parameter: dv
@throws FLARException
private function PCA_QRM(dv:FLARVec):void {
var w:Number;
var t:Number;
var s:Number;
var x:Number;
var y:Number;
var c:Number;
var dim:int;
var iter:int;
var dv_array:Array = dv.getArray();
dim = this.row;
if (dim != this.clm || dim < 2) {
throw new FLARException();
}
if (dv.getClm() != dim) {
throw new FLARException();
}
var ev:FLARVec = this.wk_PCA_QRM_ev;
ev.realloc(dim);
var ev_array:Array = ev.getArray();
if (ev == null) {
throw new FLARException();
}
const L_m:Array = this.m;
this.vecTridiagonalize(dv, ev, 1);
ev_array[0] = 0.0;
// ev->v[0] = 0.0;
var h:int;
var j:int;
var k:int;
var i:int;
for (h = dim - 1; h > 0; h--) {
j = h;
while (j > 0 && Math.abs(ev_array[j]) > PCA_EPS * (Math.abs(dv_array[j - 1]) + Math.abs(dv_array[j]))) {
// while(j>0 && fabs(ev->v[j]) >EPS*(fabs(dv->v[j-1])+fabs(dv->v[j])))
// j--;
j--;
}
if (j == h) {
continue;
}
iter = 0;
do {
iter++;
if (iter > PCA_MAX_ITER) {
break;
}
w = (dv_array[h - 1] - dv_array[h]) / 2;
// w = (dv->v[h-1] -dv->v[h]) / 2;//ここ？
t = ev_array[h] * ev_array[h];
// t = ev->v[h] * ev->v[h];
s = Math.sqrt(w * w + t);
if (w < 0) {
s = -s;
}
x = dv_array[j] - dv_array[h] + t / (w + s);
// x = dv->v[j] -dv->v[h] +t/(w+s);
y = ev_array[j + 1];
// y = ev->v[j+1];
for (k = j; k < h; k++) {
if (Math.abs(x) >= Math.abs(y)) {
if (Math.abs(x) > PCA_VZERO) {
t = -y / x;
c = 1 / Math.sqrt(t * t + 1);
s = t * c;
} else {
c = 1.0;
s = 0.0;
}
} else {
t = -x / y;
s = 1.0 / Math.sqrt(t * t + 1);
c = t * s;
}
w = dv_array[k] - dv_array[k + 1];
// w = dv->v[k] -dv->v[k+1];
t = (w * s + 2 * c * ev_array[k + 1]) * s;
// t = (w * s +2 * c *ev->v[k+1]) *s;
dv_array[k] -= t;
// dv->v[k] -= t;
dv_array[k + 1] += t;
// dv->v[k+1] += t;
if (k > j) {
FLARException.trap("未チェックパス");
ev_array[k] = c * ev_array[k] - s * y;// ev->v[k]= c *ev->v[k]- s * y;
}
ev_array[k + 1] += s * (c * w - 2 * s * ev_array[k + 1]);
// ev->v[k+1]+= s * (c* w- 2* s *ev->v[k+1]);
for (i = 0; i < dim; i++) {
x = L_m[k][i];
// x = a->m[k*dim+i];
y = L_m[k + 1][i];
// y = a->m[(k+1)*dim+i];
L_m[k][i] = c * x - s * y;
// a->m[k*dim+i] = c * x - s* y;
L_m[k + 1][i] = s * x + c * y;// a->m[(k+1)*dim+i] = s* x + c * y;
}
if (k < h - 1) {
FLARException.trap("未チェックパス");
// {
x = ev_array[k + 1];
// x = ev->v[k+1];
y = -s * ev_array[k + 2];
// y = -s * ev->v[k+2];
ev_array[k + 2] *= c;// ev->v[k+2] *= c;
// }
}
}
} while (Math.abs(ev_array[h]) > PCA_EPS * (Math.abs(dv_array[h - 1]) + Math.abs(dv_array[h])));
}
for (k = 0;k < dim - 1; k++) {
h = k;
t = dv_array[h];
// t = dv->v[h];
for (i = k + 1;i < dim; i++) {
if (dv_array[i] > t) {
// if( dv->v[i] > t ) {
h = i;
t = dv_array[h];// t = dv->v[h];
}
}
dv_array[h] = dv_array[k];
// dv->v[h] = dv->v[k];
dv_array[k] = t;
// dv->v[k] = t;
this.flipRow(h, k);
}
}
i_row_1番目の行と、i_row_2番目の行を入れ替える。
parameter: i_row_1
parameter: i_row_2
private function flipRow(i_row_1:int, i_row_2:int):void {
var i:int;
var w:Number;
var r1:Array = this.m[i_row_1];
var r2:Array = this.m[i_row_2];
// For順変更OK
for (i = clm - 1;i >= 0; i--) {
w = r1[i];
r1[i] = r2[i];
r2[i] = w;
}
}
static int EV_create( ARMat *input, ARMat *u, ARMat *output, ARVec *ev
)の代替関数
parameter: input
parameter: u
parameter: output
parameter: ev
@throws FLARException
private static function PCA_EV_create(input:@ax-student-ar-org-libspark-flartoolkit-core-FLARMat, u:@ax-student-ar-org-libspark-flartoolkit-core-FLARMat, output:@ax-student-ar-org-libspark-flartoolkit-core-FLARMat, ev:FLARVec):void {
FLARException.trap("未チェックのパス");
var row:int;
var clm:int;
row = input.row;
// row = input->row;
clm = input.clm;
// clm = input->clm;
if (row <= 0 || clm <= 0) {
throw new FLARException();
}
if (u.row != row || u.clm != row) {
// if( u->row != row || u->clm !=
// row ){
throw new FLARException();
}
if (output.row != row || output.clm != clm) {
// if( output->row !=
// row || output->clm !=
// clm ){
throw new FLARException();
}
if (ev.getClm() != row) {
// if( ev->clm != row ){
throw new FLARException();
}
var m:Array;
var in_:Array;
var m1:Array;
var ev_array:Array;
var sum:Number;
var work:Number;
FLARException.trap("未チェックのパス");
m = output.m;
// m = output->m;
in_ = input.m;
var i:int;
var j:int;
var k:int;
ev_array = ev.getArray();
for (i = 0; i < row; i++) {
FLARException.trap("未チェックのパス");
if (ev_array[i] < PCA_VZERO) {
// if( ev->v[i] < VZERO ){
break;
}
FLARException.trap("未チェックのパス");
work = 1 / Math.sqrt(Math.abs(ev_array[i]));
// work = 1 /
// sqrt(fabs(ev->v[i]));
for (j = 0; j < clm; j++) {
sum = 0.0;
m1 = u.m[i];
// m1 = &(u->m[i*row]);
// m2=input.getPointer(j);//m2 = &(input->m[j]);
for (k = 0; k < row; k++) {
sum += m1[k] + in_[k][j];// sum += *m1 * *m2;
// m1.incPtr(); //m1++;
// m2.addPtr(clm);//m2 += clm;
}
m1[j] = sum * work;// *(m++) = sum * work;
// {//*(m++) = sum * work;
// m.set(sum * work);
// m.incPtr();}
}
}
for (; i < row; i++) {
FLARException.trap("未チェックのパス");
ev_array[i] = 0.0;
// ev->v[i] = 0.0;
for (j = 0; j < clm; j++) {
m[i][j] = 0.0;
// m.set(0.0);//*(m++) = 0.0;
// m.incPtr();
}
}
}
private var wk_PCA_PCA_u:@ax-student-ar-org-libspark-flartoolkit-core-FLARMat = null;
static int PCA( ARMat *input, ARMat *output, ARVec *ev )
parameter: output
parameter: o_ev
@throws FLARException
private function PCA_PCA(o_output:@ax-student-ar-org-libspark-flartoolkit-core-FLARMat, o_ev:FLARVec):void {
var l_row:int;
var l_clm:int;
var min:int;
var ev_array:Array = o_ev.getArray();
l_row = this.row;
// row = input->row;
l_clm = this.clm;
// clm = input->clm;
min = (l_clm < l_row) ? l_clm : l_row;
if (l_row < 2 || l_clm < 2) {
throw new FLARException();
}
if (o_output.clm != this.clm) {
// if( output->clm != input->clm ){
throw new FLARException();
}
if (o_output.row != min) {
// if( output->row != min ){
throw new FLARException();
}
if (o_ev.getClm() != min) {
// if( ev->clm != min ){
throw new FLARException();
}
var u:@ax-student-ar-org-libspark-flartoolkit-core-FLARMat;
// u =new @ax-student-ar-org-libspark-flartoolkit-core-FLARMat( min, min );
if (this.wk_PCA_PCA_u == null) {
u = new @ax-student-ar-org-libspark-flartoolkit-core-FLARMat(min, min);
this.wk_PCA_PCA_u = u;
} else {
u = this.wk_PCA_PCA_u;
u.realloc(min, min);
}
if (l_row < l_clm) {
FLARException.trap("未チェックのパス");
PCA_x_by_xt(this, u);// if(x_by_xt( input, u ) < 0 ) {
} else {
PCA_xt_by_x(this, u);// if(xt_by_x( input, u ) < 0 ) {
}
u.PCA_QRM(o_ev);
var m1:Array;
var m2:Array;
if (l_row < l_clm) {
FLARException.trap("未チェックのパス");
PCA_EV_create(this, u, o_output, o_ev);
} else {
m1 = u.m;
// m1 = u->m;
m2 = o_output.m;
// m2 = output->m;
var i:int;
var j:int;
for (i = 0;i < min; i++) {
if (ev_array[i] < PCA_VZERO) {
// if( ev->v[i] < VZERO ){
break;
}
for (j = 0;j < min; j++) {
m2[i][j] = m1[i][j];// *(m2++) = *(m1++);
}
}
for (;i < min; i++) {
// for( ; i < min; i++){
// コードを見た限りあってそうだからコメントアウト(2008/03/26)FLARException.trap("未チェックのパス");
ev_array[i] = 0.0;
// ev->v[i] = 0.0;
for (j = 0;j < min; j++) {
m2[i][j] = 0.0;// *(m2++) = 0.0;
}
}
}
}
private var wk_work_matrixPCA:@ax-student-ar-org-libspark-flartoolkit-core-FLARMat = null;
int arMatrixPCA( ARMat *input, ARMat *evec, ARVec *ev, ARVec *mean );
関数の置き換え。input引数がthisになる。 Optimize:2008.04.19
parameter: o_evec
parameter: o_ev
parameter: mean
@throws FLARException
public function matrixPCA(o_evec:@ax-student-ar-org-libspark-flartoolkit-core-FLARMat, o_ev:FLARVec, mean:FLARVec):void {
var srow:Number;
var sum:Number;
var l_row:int;
var l_clm:int;
var check:int;
l_row = this.row;
// row = input->row;
l_clm = this.clm;
// clm = input->clm;
check = (l_row < l_clm) ? l_row : l_clm;
if (l_row < 2 || l_clm < 2) {
throw new FLARException();
}
if (o_evec.clm != l_clm || o_evec.row != check) {
// if( evec->clm !=
// input->clm ||
// evec->row !=
// check ){
throw new FLARException();
}
if (o_ev.getClm() != check) {
// if( ev->clm != check ){
throw new FLARException();
}
if (mean.getClm() != l_clm) {
// if( mean->clm != input->clm ){
throw new FLARException();
}
// 自分の内容をワークにコピー(高速化の為に、1度作ったインスタンスは使いまわす)
var work:@ax-student-ar-org-libspark-flartoolkit-core-FLARMat;
if (this.wk_work_matrixPCA == null) {
work = this.matrixAllocDup();
this.wk_work_matrixPCA = work;
} else {
work = this.wk_work_matrixPCA;
work.matrixDup(this);// arMatrixAllocDup( input );work =
// arMatrixAllocDup( input );
}
srow = Math.sqrt(l_row);
work.PCA_EX(mean);
PCA_CENTER(work, mean);
var i:int;
var j:int;
// For順変更OK
for (i = 0;i < l_row; i++) {
for (j = 0;j < l_clm; j++) {
work.m[i][j] /= srow;// work->m[i] /= srow;
}
}
work.PCA_PCA(o_evec, o_ev);
sum = 0.0;
var ev_array:Array = o_ev.getArray();
var ev_clm:int = o_ev.getClm();
// For順変更禁止
for (i = 0;i < ev_clm; i++) {
// for(int i = 0; i < ev->clm; i++ ){
sum += ev_array[i];// sum += ev->v[i];
}
// For順変更禁止
for (i = 0;i < ev_clm; i++) {
// for(int i = 0; i < ev->clm; i++ ){
ev_array[i] /= sum;// ev->v[i] /= sum;
}
}
/* int arMatrixPCA2( ARMat *input, ARMat *evec, ARVec *ev ); */
public static function arMatrixPCA2(input:@ax-student-ar-org-libspark-flartoolkit-core-FLARMat, evec:@ax-student-ar-org-libspark-flartoolkit-core-FLARMat, ev:FLARVec):void {
FLARException.trap("未チェックのパス");
var work:@ax-student-ar-org-libspark-flartoolkit-core-FLARMat;
// double srow; // unreferenced
var sum:Number;
var row:int;
var clm:int;
var check:int;
row = input.row;
// row = input->row;
clm = input.clm;
// clm = input->clm;
check = (row < clm) ? row : clm;
if (row < 2 || clm < 2) {
throw new FLARException();
}
if (evec.getClm() != input.clm || evec.row != check) {
// if( evec->clm!= input->clm|| evec->row!= check ){
throw new FLARException();
}
if (ev.getClm() != check) {
// if( ev->clm != check ){
throw new FLARException();
}
FLARException.trap("未チェックのパス");
work = input.matrixAllocDup();
FLARException.trap("未チェックパス");
work.PCA_PCA(evec, ev);
// rval = PCA( work, evec, ev );
sum = 0.0;
var ev_array:Array = ev.getArray();
var i:int;
for (i = 0;i < ev.getClm(); i++) {
// for( i = 0; i < ev->clm; i++
// ){
FLARException.trap("未チェックパス");
sum += ev_array[i];// sum += ev->v[i];
}
for (i = 0;i < ev.getClm(); i++) {
// for(int i = 0; i < ev->clm;i++ ){
FLARException.trap("未チェックパス");
ev_array[i] /= sum;// ev->v[i] /= sum;
}
return;
}
public static function matrixAllocMul(a:@ax-student-ar-org-libspark-flartoolkit-core-FLARMat, b:@ax-student-ar-org-libspark-flartoolkit-core-FLARMat):@ax-student-ar-org-libspark-flartoolkit-core-FLARMat {
FLARException.trap("未チェックのパス");
var dest:@ax-student-ar-org-libspark-flartoolkit-core-FLARMat = new @ax-student-ar-org-libspark-flartoolkit-core-FLARMat(a.row, b.clm);
FLARException.trap("未チェックのパス");
dest.matrixMul(a, b);
return dest;
}
/* static double mdet(double *ap, int dimen, int rowa) */
private static function Det_mdet(ap:Array, dimen:int, rowa:int):Number {
FLARException.trap("動作未チェック/配列化未チェック");
var det:Number = 1.0;
var work:Number;
var is_:int = 0;
var mmax:int;
var k:int;
var i:int;
var j:int;
for (k = 0;k < dimen - 1; k++) {
mmax = k;
for (i = k + 1;i < dimen; i++) {
// if (Math.abs(arMatrixDet_MATRIX_get(ap, i, k, rowa)) >
// Math.abs(arMatrixDet_MATRIX_get(ap, mmax, k, rowa))){
if (Math.abs(ap[i][k]) > Math.abs(ap[mmax][k])) {
mmax = i;
}
}
if (mmax != k) {
for (j = k;j < dimen; j++) {
work = ap[k][j];
// work = MATRIX(ap, k, j, rowa);
ap[k][j] = ap[mmax][j];
// MATRIX(ap, k, j, rowa) =MATRIX(ap, mmax, j, rowa);
ap[mmax][j] = work;// MATRIX(ap, mmax, j, rowa) = work;
}
is_++;
}
for (i = k + 1;i < dimen; i++) {
work = ap[i][k] / ap[k][k];
// work = arMatrixDet_MATRIX_get(ap,i, k, rowa) /arMatrixDet_MATRIX_get(ap, k, k,rowa);
for (j = k + 1;j < dimen; j++) {
// MATRIX(ap, i, j, rowa) -= work * MATRIX(ap, k, j, rowa);
ap[i][j] -= work * ap[k][j];
}
}
}
for (i = 0;i < dimen; i++) {
det = ap[i][i];// det *= MATRIX(ap, i, i, rowa);
}
for (i = 0;i < is_; i++) {
det *= -1.0;
}
return det;
}
/* double arMatrixDet(ARMat *m); */
public static function arMatrixDet(m:@ax-student-ar-org-libspark-flartoolkit-core-FLARMat):Number {
FLARException.trap("動作未チェック/配列化未チェック");
if (m.row != m.clm) {
return 0.0;
}
return Det_mdet(m.getArray(), m.row, m.clm);// return mdet(m->m, m->row,m->row);
}
private const wk_vecTridiagonalize_vec:FLARVec = new FLARVec(0);
private const wk_vecTridiagonalize_vec2:FLARVec = new FLARVec(0);
arVecTridiagonalize関数の代替品 a,d,e間で演算をしてる。何をどうしているかはさっぱりさっぱり
parameter: a
parameter: d
parameter: e
parameter: i_e_start
演算開始列(よくわからないけどarVecTridiagonalizeの呼び出し元でなんかしてる)
@return
@throws FLARException
private function vecTridiagonalize(d:FLARVec, e:FLARVec, i_e_start:int):void {
var vec:FLARVec = wk_vecTridiagonalize_vec;
// double[][] a_array=a.getArray();
var s:Number;
var t:Number;
var p:Number;
var q:Number;
var dim:int;
if (this.clm != this.row) {
// if(a.getClm()!=a.getRow()){
throw new FLARException();
}
if (this.clm != d.getClm()) {
// if(a.getClm() != d.clm){
throw new FLARException();
}
if (this.clm != e.getClm()) {
// if(a.getClm() != e.clm){
throw new FLARException();
}
dim = this.getClm();
var d_vec:Array = d.getArray();
var e_vec:Array = e.getArray();
var a_vec_k:Array;
var k:int;
var i:int;
var j:int;
for (k = 0;k < dim - 2; k++) {
a_vec_k = this.m[k];
vec.setNewArray(a_vec_k, clm);
// vec=this.getRowVec(k);//double[]
// vec_array=vec.getArray();
FLARException.trap("未チェックパス");
d_vec[k] = a_vec_k[k];
// d.v[k]=vec.v[k];//d.set(k,v.get(k));
// //d->v[k] = v[k];
// wv1.clm = dim-k-1;
// wv1.v = &(v[k+1]);
FLARException.trap("未チェックパス");
e_vec[k + i_e_start] = vec.vecHousehold(k + 1);
// e.v[k+i_e_start]=vec.vecHousehold(k+1);//e->v[k]= arVecHousehold(&wv1);
if (e_vec[k + i_e_start] == 0.0) {
// if(e.v[k+i_e_start]== 0.0){//if(e.v[k+i_e_start]== 0.0){
continue;
}
for (i = k + 1;i < dim; i++) {
s = 0.0;
for (j = k + 1;j < i; j++) {
FLARException.trap("未チェックのパス");
s += this.m[j][i] * a_vec_k[j];// s += a_array[j][i] *vec.v[j];//s +=a.get(j*dim+i) *v.get(j);//s +=a->m[j*dim+i] * v[j];
}
for (j = i;j < dim; j++) {
FLARException.trap("未チェックのパス");
s += this.m[i][j] * a_vec_k[j];// s += a_array[i][j] *vec.v[j];//s +=a.get(i*dim+j) *v.get(j);//s +=a->m[i*dim+j] * v[j];
}
FLARException.trap("未チェックのパス");
d_vec[i] = s;// d.v[i]=s;//d->v[i] = s;
}
// wv1.clm = wv2.clm = dim-k-1;
// wv1.v = &(v[k+1]);
// wv2.v = &(d->v[k+1]);
a_vec_k = this.m[k];
vec.setNewArray(a_vec_k, clm);
// vec=this.getRowVec(k);
// vec_array=vec.getArray();
FLARException.trap("未チェックパス");
t = vec.vecInnerproduct(d, k + 1) / 2;
for (i = dim - 1;i > k; i--) {
FLARException.trap("未チェックパス");
p = a_vec_k[i];
// p = v.get(i);//p = v[i];
d_vec[i] -= t * p;
q = d_vec[i];
// d.v[i]-=t*p;q=d.v[i];//q = d->v[i] -= t*p；
for (j = i;j < dim; j++) {
FLARException.trap("未チェックパス");
this.m[i][j] -= p * (d_vec[j] + q * a_vec_k[j]);// a.m[i][j]-=p*(d.v[j] +q*vec.v[j]);//a->m[i*dim+j] -=p*(d->v[j]) + q*v[j];
}
}
}
if (dim >= 2) {
d_vec[dim - 2] = this.m[dim - 2][dim - 2];
// d.v[dim-2]=a.m[dim-2][dim-2];//d->v[dim-2]=a->m[(dim-2)*dim+(dim-2)];
e_vec[dim - 2 + i_e_start] = this.m[dim - 2][dim - 1];// e.v[dim-2+i_e_start]=a.m[dim-2][dim-1];//e->v[dim-2] = a->m[(dim-2)*dim+(dim-1)];
}
if (dim >= 1) {
d_vec[dim - 1] = this.m[dim - 1][dim - 1];// d.v[dim-1]=a_array[dim-1][dim-1];//d->v[dim-1] =a->m[(dim-1)*dim+(dim-1)];
}
var vec2:FLARVec = this.wk_vecTridiagonalize_vec2;
for (k = dim - 1;k >= 0; k--) {
a_vec_k = this.m[k];
vec.setNewArray(a_vec_k, clm);
// vec=this.getRowVec(k);//v =a.getPointer(k*dim);//v = &(a->m[k*dim]);
if (k < dim - 2) {
for (i = k + 1;i < dim; i++) {
// wv1.clm = wv2.clm = dim-k-1;
// wv1.v = &(v[k+1]);
// wv2.v = &(a->m[i*dim+k+1]);
vec2.setNewArray(this.m[i], clm);
// vec2=this.getRowVec(i);
t = vec.vecInnerproduct(vec2, k + 1);
for (j = k + 1;j < dim; j++) {
FLARException.trap("未チェックパス");
this.m[i][j] -= t * a_vec_k[j];// a_array[i][j]-=t*vec.v[j];//a.subValue(i*dim+j,t*v.get(j));//a->m[i*dim+j]-= t * v[j];
}
}
}
for (i = 0;i < dim; i++) {
a_vec_k[i] = 0.0;// v.set(i,0.0);//v[i] = 0.0;
}
a_vec_k[k] = 1;// v.set(k,1);//v[k] = 1;
}
return;
}
}
}
(C) Æliens
04/09/2009
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