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ExprMatrix.java
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208 lines (178 loc) · 4.32 KB
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package symjava.matrix;
import java.util.Vector;
import symjava.numeric.NumMatrix;
import symjava.symbolic.Expr;
import symjava.symbolic.TypeInfo;
/**
* Matrix of symbolic expressions.
*
* See @Matrix for symbolic matrix which is a single
* symbol represents a matrix object
*
*/
public class ExprMatrix extends Expr {
/**
* Row vectors
*/
Vector<ExprVector> data = new Vector<ExprVector>();;
public ExprMatrix() {
}
public ExprMatrix(String name) {
}
public ExprMatrix(Expr[][] array) {
for(Expr[] row : array)
data.add(new ExprVector(row));
}
public ExprMatrix(int[][] array) {
for(int[] row : array)
data.add(new ExprVector(row));
}
public ExprMatrix(double[][] array) {
for(double[] row : array)
data.add(new ExprVector(row));
}
public ExprMatrix(int m, int n) {
data.setSize(m);
for(int i=0; i<data.size(); i++) {
data.set(i, new ExprVector(n));
}
}
public boolean isAbstract() {
return data == null;
}
/**
* operator overload for m[i][j]
* @param i
* @return
*/
public ExprVector get(int i) {
return data.get(i);
}
public Expr get(int i, int j) {
return data.get(i).get(j);
}
public void set(int i, int j, Expr expr) {
ExprVector row = data.get(i);
row.set(j, expr);
}
public void append(ExprVector v) {
data.add(v);
}
public int rowDim() {
return data.size();
}
public int colDim() {
if(data.size() > 0)
return data.get(0).dim();
return 0;
}
// \left[ {\begin{array}{ccccc}
// 1 & 2 & 3 & 4 & 5\\
// 3 & 4 & 5 & 6 & 7\\
// \end{array} } \right]
public String toString() {
StringBuilder sb = new StringBuilder();
sb.append("\\left[ {\\begin{array}{");
for(int j=0; j<colDim(); j++)
sb.append("c");
sb.append("}\n");
for(int i=0; i<data.size(); i++) {
ExprVector row = data.get(i);
sb.append(row.get(0));
for(int j=1; j<row.dim(); j++)
sb.append(" & "+row.get(j));
sb.append("\\\\\n");
}
sb.append("\\end{array} } \\right]");
return sb.toString();
}
public Expr det() {
if(this.rowDim() == 1 && this.colDim() == 1) {
return this.data.get(0).get(0);
} else if(this.rowDim() == 2 && this.colDim() == 2) {
Expr m11 = data.get(0).get(0);
Expr m12 = data.get(0).get(1);
Expr m21 = data.get(1).get(0);
Expr m22 = data.get(1).get(1);
return m11.multiply(m22).subtract(m12.multiply(m21));
} else if(this.rowDim() == 3 && this.colDim() == 3) {
Expr m11 = data.get(0).get(0);
Expr m12 = data.get(0).get(1);
Expr m13 = data.get(0).get(2);
Expr m21 = data.get(1).get(0);
Expr m22 = data.get(1).get(1);
Expr m23 = data.get(1).get(2);
Expr m31 = data.get(2).get(0);
Expr m32 = data.get(2).get(1);
Expr m33 = data.get(2).get(2);
return m11.multiply( m22.multiply(m33).subtract(m23.multiply(m32)) ).subtract(
m12.multiply( m21.multiply(m33).subtract(m23.multiply(m31)) )).add(
m13.multiply( m21.multiply(m32).subtract(m22.multiply(m31)) ));
}
return null;
}
// public Expr norm2() {
//
//// for(int j=0; j<this.colDim(); j++) {
//// for(int i=0; i<this.rowDim(); i++) {
//// Expr e = data.get(i).get(j);
//// e.multiply(e)
//// }
//// }
// }
public NumMatrix toNumMatrix(Expr[] args) {
NumMatrix mat = new NumMatrix(this, args);
return mat;
}
@Override
public Expr add(Expr other) {
ExprMatrix o = (ExprMatrix)other;
ExprMatrix ret = new ExprMatrix();
for(int i=0; i<data.size(); i++) {
ret.append((ExprVector)(this.get(i).add(o.get(i))));
}
return ret;
}
@Override
public Expr multiply(Expr other) {
if(other instanceof ExprVector) {
ExprVector ret = new ExprVector();
for(int i=0; i<this.rowDim(); i++) {
ret.append(this.get(i).dot((ExprVector)other));
}
return ret;
} else if(other instanceof ExprMatrix) {
//TODO
}
return null;
}
@Override
public Expr simplify() {
// TODO Auto-generated method stub
return null;
}
@Override
public boolean symEquals(Expr other) {
// TODO Auto-generated method stub
return false;
}
@Override
public Expr diff(Expr expr) {
// TODO Auto-generated method stub
return null;
}
@Override
public Expr[] args() {
// TODO Auto-generated method stub
return null;
}
@Override
public TypeInfo getTypeInfo() {
// TODO Auto-generated method stub
return null;
}
@Override
public void updateLabel() {
// TODO Auto-generated method stub
}
}