public void matrixTransform(
double a00,
double a01,
double a02,
double a10,
double a11,
double a12,
double a20,
double a21,
double a22) {
ExpressionNode dummy = new ExpressionNode();
expression = expression.replaceAndWrap(fVars[0], dummy);
double[][] b = MyMath.adjoint(a00, a01, a02, a10, a11, a12, a20, a21, a22);
MyDouble[][] mbTrans = new MyDouble[3][3];
for (int i = 0; i < 3; i++)
for (int j = 0; j < 3; j++) mbTrans[i][j] = new MyDouble(kernel, b[j][i]);
ExpressionNode newZ =
new ExpressionNode(kernel, mbTrans[2][0], ExpressionNode.MULTIPLY, fVars[0])
.plus(new ExpressionNode(kernel, mbTrans[2][1], ExpressionNode.MULTIPLY, fVars[1]))
.plus(mbTrans[2][2]);
ExpressionNode newX =
new ExpressionNode(kernel, mbTrans[0][0], ExpressionNode.MULTIPLY, fVars[0])
.plus(new ExpressionNode(kernel, mbTrans[0][1], ExpressionNode.MULTIPLY, fVars[1]))
.plus(mbTrans[0][2]);
ExpressionNode newY =
new ExpressionNode(kernel, mbTrans[1][0], ExpressionNode.MULTIPLY, fVars[0])
.plus(new ExpressionNode(kernel, mbTrans[1][1], ExpressionNode.MULTIPLY, fVars[1]))
.plus(mbTrans[1][2]);
expression = expression.replaceAndWrap(fVars[1], newY.divide(newZ));
expression = expression.replaceAndWrap(dummy, newX.divide(newZ));
this.initIneqs(expression, this);
}
// replace every x in tree by (x - vx)
// i.e. replace fVar with (fvar - vx)
private void translateX(ExpressionNode en, double vx, int varNo) {
ExpressionValue left = en.getLeft();
ExpressionValue right = en.getRight();
// left tree
if (left == fVars[varNo]) {
try { // is there a constant number to the right?
MyDouble num = (MyDouble) right;
double temp;
switch (en.getOperation()) {
case ExpressionNode.PLUS:
temp = num.getDouble() - vx;
if (Kernel.isZero(temp)) {
expression = expression.replaceAndWrap(en, fVars[varNo]);
} else if (temp < 0) {
en.setOperation(ExpressionNode.MINUS);
num.set(-temp);
} else {
num.set(temp);
}
return;
case ExpressionNode.MINUS:
temp = num.getDouble() + vx;
if (Kernel.isZero(temp)) {
expression = expression.replaceAndWrap(en, fVars[varNo]);
} else if (temp < 0) {
en.setOperation(ExpressionNode.PLUS);
num.set(-temp);
} else {
num.set(temp);
}
return;
default:
en.setLeft(shiftXnode(vx, varNo));
}
} catch (Exception e) {
en.setLeft(shiftXnode(vx, varNo));
}
} else if (left instanceof ExpressionNode) {
translateX((ExpressionNode) left, vx, varNo);
}
// right tree
if (right == fVars[varNo]) {
en.setRight(shiftXnode(vx, varNo));
} else if (right instanceof ExpressionNode) {
translateX((ExpressionNode) right, vx, varNo);
}
}
public void matrixTransform(double a00, double a01, double a10, double a11) {
ExpressionNode dummy = new ExpressionNode();
expression.replaceAndWrap(fVars[0], dummy);
MyDouble ma00 = new MyDouble(kernel, a00);
MyDouble ma01 = new MyDouble(kernel, a01);
MyDouble ma10 = new MyDouble(kernel, a10);
MyDouble ma11 = new MyDouble(kernel, a11);
ExpressionNode newX =
new ExpressionNode(kernel, ma00, ExpressionNode.MULTIPLY, fVars[0])
.plus(new ExpressionNode(kernel, ma01, ExpressionNode.MULTIPLY, fVars[1]));
ExpressionNode newY =
new ExpressionNode(kernel, ma10, ExpressionNode.MULTIPLY, fVars[0])
.plus(new ExpressionNode(kernel, ma11, ExpressionNode.MULTIPLY, fVars[1]));
expression = expression.replaceAndWrap(fVars[1], newY);
expression = expression.replaceAndWrap(dummy, newX);
this.initIneqs(expression, this);
}
public ExpressionValue replace(ExpressionValue oldOb, ExpressionValue newOb) {
expression = expression.replaceAndWrap(oldOb, newOb);
return this;
}