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3D rendering engine. Plus modeling. Expected glsl textures 3d and 2d rendering
/*
* Copyright (c) 2023. Manuel Daniel Dahmen
*
*
* Copyright 2012-2023 Manuel Daniel Dahmen
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
package one.empty3.feature20220726;
import one.empty3.library.Lumiere;
import one.empty3.library.Point3D;
import java.awt.image.BufferedImage;
import java.util.PrimitiveIterator;
import java.util.Random;
public class M {
public static PrimitiveIterator.OfDouble r = new Random().doubles().iterator();
public static final Double noValue = r.next();
protected int columns;
protected int lines;
double[] x;
protected int compNo;
public int compCount = 3;
public M(int c, int l) {
this.lines = l;
this.columns = c;
x = new double[l * c * compCount];
for (int i = 0; i < x.length; i++)
x[i] = 0.0;
//System.out.println("Columns=" + columns + "\n Lines = " + lines+ " \n Total size ="+x.length);
}
public int getColumns() {
return columns;
}
public void setColumns(int columns) {
this.columns = columns;
}
public int getLines() {
return lines;
}
public void setLines(int lines) {
this.lines = lines;
}
public M plus(M m2) {
for (int i = 0; i < lines; i++)
for (int j = 0; j < columns; j++) {
set(i, j, get(i, j));
}
return this;
}
public M operator(char[] operators, M... m) {
return null;
}
/*public static GMatrix diag(GMatrix square) {
GMatrix matrix = new GMatrix(square.getColumns());
for (int i = 0; i < matrix.getColumns(); i++)
matrix.set(i, i, square.get(i, i));
return matrix;
}*/
public double[] getValues(int i, int j) {
double[] v = new double[getCompCount()];
for (int d = 0; d < getCompCount(); d++) {
setCompNo(d);
v[d] = get(i, j);
}
return v;
}
public static double[] getVector(int add, double[]... vectors) {
int d = 0;
for (int i = 0; i < vectors.length; i++)
d += vectors[i].length;
d += add;
double[] f = new double[d];
int di = 0;
for (int i = 0; i < vectors.length; i++) {
for (double dou : vectors[i])
f[di++] = dou;
}
return f;
}
public void setP(int i, int j, Point3D p) {
for (int d = 0; d < 3; d++) {
setCompNo(d);
set(i, j, p.get(d));
}
}
public Point3D getP(int i, int j) {
Point3D p = new Point3D();
for (int d = 0; d < 3; d++) {
setCompNo(d);
p.set(d, get(i, j));
}
return p;
}
public void setValues(int i, int j, double... v) {
for (int d = 0; d < v.length; d++) {
setCompNo(d);
set(i, j, v[d]);
}
return;
}
public M(PixM pix) {
this.lines = pix.getLines();
this.columns = pix.getColumns();
x = new double[lines * columns * 3];
for (int c = 0; c < 3; c++) {
setCompNo(c);
for (int i = 0; i < pix.getColumns(); i++) {
for (int j = 0; j < pix.getLines(); j++) {
set(i, j, pix.get(i, j));
}
}
}
//System.out.println("Columns=" + columns + "\n Lines = " + lines+ " \n Total size ="+x.length);
}
public void init(int l, int c) {
this.lines = l;
this.columns = c;
x = new double[l * c * compCount];
}
public M(int cl) {
this(cl, cl);
}
public double get(int column, int line) {
if (column >= 0 && column < columns && line >= 0 && line < lines && compNo >= 0 && compNo < compCount) {
return x[index(column, line)];
} else
return noValue; // OutOfBound?
}
public double getIntensity(int column, int line) {
double i = 0;
for (int c = 0; c < 3; c++) {
setCompNo(c);
i += get(column, line) * get(column, line);
}
return Math.sqrt(i);
}
public void getColor(int column, int line,
float[] comps) {
for (int c = 0; c < 3; c++) {
setCompNo(c);
comps[c] = (float) (get(column, line));
}
}
public int getCompNo() {
return compNo;
}
public void setCompNo(int compNo) {
this.compNo = compNo;
}
public int index(int column, int line) {
return getCompNo() + getCompCount() * ((line * columns + column));
}
public void set(int column, int line, double d) {
if (column >= 0 && column < columns && line >= 0 && line < lines) {
x[index(column, line)] = d;
}
}
public void set(int column, int line, double... values) {
setValues(column, line, values);
}
public M tild() {
M m = new M(lines, columns);
for (int i = 0; i < lines; i++)
for (int j = 0; j < columns; j++)
for (int comp = 0; comp < getCompNo(); comp++)
m.set(i, j, get(j, i));
return m;
}
public double trace() {
return tild().dot(this).trace();
}
public double diagonalSum() {
double[] sums = new double[getCompCount()];
if (!isSquare())
throw new MatrixFormatException("determinant: not square matrix");
double sum = 0.0;
for (int comp = 0; comp < getCompNo(); comp++)
for (int i = 0; i < lines; i++)
sums[comp] += get(i, i);
return sum;
}
public int getCompCount() {
return compCount;
}
private M dot(M m) {
if (!isSquare() || columns == m.getLines())
throw new MatrixFormatException("determinant: not square matrix");
M res = new M(m.getColumns(), lines);
for (int comp = 0; comp < getCompNo(); comp++) {
res.setCompNo(comp);
this.setCompNo(comp);
for (int i = 0; i < m.getColumns(); i++) {
for (int j = 0; j < lines; j++) {
for (int k = 0; k < lines; k++)
res.set(i, j, res.get(i, j) + get(i, k) * res.get(k, j));
}
}
}
return res;
}
/*
Recursive definition of determinate using expansion by minors.
*/
double determinant() {
if (!isSquare())
throw new MatrixFormatException("determinant: not square matrix");
int i, j, j1, j2;
double det = 0;
M m = null;
if (lines < 1) { /* Error */
throw new MatrixFormatException("<1 determinant");
} else if (lines == 1) { /* Shouldn't get used */
det = get(0, 0);
} else if (lines == 2) {
det = get(0, 0) * get(1, 1) - get(1, 0) * get(0, 1);
} else {
det = 0;
for (j1 = 0; j1 < lines; j1++) {
m = new M(lines - 1);
for (i = 1; i < lines; i++) {
j2 = 0;
for (j = 0; j < lines; j++) {
if (j == j1)
continue;
m.set(i - 1, j2, get(i, j));
j2++;
}
}
det += Math.pow(-1.0, j1 + 2.0) * get(0, j1) * m.determinant();
}
}
return (det);
}
private boolean isSquare() {
return lines == columns;
}
/*
Find the cofactor matrix of a square matrix
*/
public M CoFactor() {
if (!isSquare())
throw new MatrixFormatException("determinant: not square matrix");
int n = lines;
M a = this;
M b = new M(lines - 1);
int i, j, ii, jj, i1, j1;
double det;
M c;
c = new M(n - 1);
for (j = 0; j < n; j++) {
for (i = 0; i < n; i++) {
/* Form the adjoint a_ij */
i1 = 0;
for (ii = 0; ii < n; ii++) {
if (ii == i)
continue;
j1 = 0;
for (jj = 0; jj < n; jj++) {
if (jj == j)
continue;
c.set(i1, j1, get(ii, jj));
j1++;
}
i1++;
}
/* Calculate the determinate */
det = c.determinant();
/* Fill in the elements of the cofactor */
b.set(i, j, Math.pow(-1.0, i + j + 2.0) * det);
}
}
return b;
}
/*
* pa: mesure de l'erreur dans la fenêtre
* en W(0, 1, 2, 3)
* par rapport à W(4, 5, 2, 3)
* @param w12 x0, y0, w.w, w.h, x1, y1
* @return E errors sum of differences. compNo
*/
public double error(double... w12) {
double E = 0.0;
for (double i = 0; i < w12[2]; i++)
for (double j = 0; j < w12[3]; j++) {
E +=
(get((int) (w12[0] + w12[2]), (int) (w12[1] + w12[3]))
- get((int) (w12[4] + w12[2]), (int) (w12[5] + w12[3])));
}
return E;
}
public double getOpValue(String op, double m1ij, double m2ij) {
return m1ij - m2ij;
}
public M op(M mat2, String op) {
M res = new M(columns, lines);
for (int comp = 0; comp < getCompNo(); comp++) {
res.setCompNo(comp);
this.setCompNo(comp);
for (int i = 0; i < columns; i++) {
for (int j = 0; j < lines; j++) {
res.set(i, j, getOpValue("", get(i, j), mat2.get(i, j)));
}
}
}
return res;
}
public void setRegionCopy(M3 original, int ii, int ij, int iStart, int jStart, int iEnd, int jEnd,
PixM pixM, int iPaste, int jPaste) {
for (int c = 0; c < getCompCount(); c++) {
original.setCompNo(c);
pixM.setCompNo(c);
int x = 0;
for (int i = iStart; i < iEnd; i++) {
int y = 0;
for (int j = jStart; j < jEnd; j++) {
double v = original.get(i, j, ii, ij);
pixM.set(iPaste + x, jPaste + y, v);
y++;
}
x++;
}
}
}
public void setRegionCopy(PixM original, int iStart, int jStart, int iEnd, int jEnd,
PixM pixM, int iPaste, int jPaste) {
}
public void setRegionCopy(PixM original, int iStart, int jStart, int iEnd, int jEnd,
M3 m3, int iPaste, int jPaste, int iiPaste, int ijPaste) {
}
public static M repmat(double[][] dd, int nLine, int mColumn) {
M matrix = new M(nLine * dd.length, mColumn * dd[0].length);
for (int i = 0; i < nLine; i++) {
for (int j = 0; j < mColumn; j++) {
for (int ii = 0; ii < dd.length; i++)
for (int ij = 0; ij < dd[0].length; ij++) {
matrix.set(i * nLine + ii, j * mColumn + ij, dd[ii][ij]);
}
}
}
return matrix;
}
public static M diag(double... d) {
M matrix = new M(d.length, d.length);
for (int i = 0; i < d.length; i++)
matrix.set(i, i, d[i]);
return matrix;
}
public static M diag(M d) {
M matrix = new M(d.getLines(), d.getColumns());
for (int i = 0; i < d.getLines(); i++)
matrix.set(i, i, d.get(i, i));
return matrix;
}
}