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Dot.java
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143 lines (131 loc) · 3.31 KB
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package symjava.math;
import java.util.ArrayList;
import java.util.List;
import symjava.matrix.SymVector;
import symjava.symbolic.Add;
import symjava.symbolic.Expr;
import symjava.symbolic.SymReal;
import symjava.symbolic.utils.Utils;
/**
* Dot Product of two vectors
*
*/
public class Dot extends Expr {
protected SymVector left;
protected SymVector right;
protected Expr expr = null;
public Dot(SymVector l, SymVector r) {
if(l.dim() != r.dim())
throw new IllegalArgumentException("The size of the two vector must be the same!");
left = l;
right = r;
if(left instanceof Grad && right instanceof Grad) {
label = left + " \\cdot " + right;
sortKey = label;
return;
}
List<Expr> list = new ArrayList<Expr>();
for(int i=0; i<left.dim(); i++) {
list.add(left.get(i).multiply(right.get(i)));
}
expr = Utils.addListToExpr(list).simplify();
label = expr.toString();
sortKey = label;
}
public static Expr apply(SymVector l, SymVector r) {
List<Expr> list = new ArrayList<Expr>();
for(int i=0; i<l.dim(); i++) {
list.add(l.get(i).multiply(r.get(i)));
}
Expr ret = Utils.addListToExpr(list).simplify();
if(ret instanceof SymReal<?>)
return ret;
Dot dot = new Dot(l, r);
if(dot.expr != null)
return dot.expr;
return dot;
}
@Override
public Expr diff(Expr expr) {
if(this.expr == null) {
Grad lg = (Grad)left;
Grad rg = (Grad)right;
if(lg.isAbstract() && rg.isAbstract()) {
Expr d1 = Dot.apply(new Grad(lg.getFunc().diff(expr), lg.getFunc().args), rg);
Expr d2 = Dot.apply(lg, new Grad(rg.getFunc().diff(expr), rg.getFunc().args));
return Add.simplifiedIns(d1, d2);
}
}
if(left instanceof Grad && right instanceof Grad) {
Grad lg = (Grad)left;
Grad rg = (Grad)right;
Expr d1 = Dot.apply(lg.diff(expr), rg);
Expr d2 = Dot.apply(lg, rg.diff(expr));
return Add.simplifiedIns(d1, d2);
}
return this.expr.diff(expr);
}
@Override
public Expr fdiff(Expr f, Expr df) {
if(expr == null) {
Grad lg = (Grad)left;
Grad rg = (Grad)right;
if(lg.isAbstract() && rg.isAbstract()) {
Expr d1 = Dot.apply(new Grad(lg.getFunc().fdiff(f, df)), rg);
Expr d2 = Dot.apply(lg, new Grad(rg.getFunc().fdiff(f, df)));
return Add.shallowSimplifiedIns(d1, d2);
}
}
return expr.fdiff(f, df);
}
@Override
public Expr simplify() {
if(expr == null)
return this;
return expr.simplify();
}
@Override
public boolean symEquals(Expr other) {
if(expr == null) {
if(other instanceof Dot) {
//TODO
}
return false;
}
return Utils.symCompare(expr, other);
}
@Override
public void flattenAdd(List<Expr> outList) {
if(expr == null)
outList.add(this);
else
expr.flattenAdd(outList);
}
@Override
public void flattenMultiply(List<Expr> outList) {
if(expr == null)
outList.add(this);
else
expr.flattenMultiply(outList);
}
@Override
public Expr subs(Expr from, Expr to) {
if(Utils.symCompare(this, from))
return to;
if(expr == null)
return new Dot(left.subs(from, to), right.subs(from, to));
else
return expr.subs(from, to);
}
public Expr getExpr() {
if(this.expr != null)
return this.expr;
else {
List<Expr> list = new ArrayList<Expr>();
for(int i=0; i<left.dim(); i++) {
list.add(left.get(i).multiply(right.get(i)));
}
return Utils.addListToExpr(list).simplify();
}
}
}