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SymMath.java
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181 lines (153 loc) · 4.27 KB
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package symjava.math;
import symjava.matrix.SymMatrix;
import symjava.matrix.SymVector;
import symjava.symbolic.Cos;
import symjava.symbolic.Exp;
import symjava.symbolic.Expr;
import symjava.symbolic.Log;
import symjava.symbolic.Log10;
import symjava.symbolic.Log2;
import symjava.symbolic.Pow;
import symjava.symbolic.Sin;
import symjava.symbolic.Sqrt;
import symjava.symbolic.SymConst;
import symjava.symbolic.Tan;
import symjava.symbolic.utils.Utils;
public class SymMath {
/**
* Pre defined constant symbols
*/
public static SymConst PI = new SymConst("\\pi", Math.PI);
public static SymConst PI2 = new SymConst("2\\pi", 2*Math.PI);
public static SymConst E = new SymConst("e", Math.E);
/**
* A quick way to define constant real number symbols
* @param v
* @return
*/
public static Expr C(double v) {
return Expr.valueOf(v);
}
public static Expr C(float v) {
return Expr.valueOf(v);
}
public static Expr C(int v) {
return Expr.valueOf(v);
}
public static Expr C(long v) {
return Expr.valueOf(v);
}
public static Expr pow(Expr base, double exponent) {
return Pow.simplifiedIns(base, Expr.valueOf(exponent));
}
public static Expr pow(double base, Expr exponent) {
return Pow.simplifiedIns(Expr.valueOf(base), exponent);
}
public static Expr pow(Expr base, Expr exponent) {
return Pow.simplifiedIns(base, exponent);
}
public static Expr sqrt(Expr arg) {
return new Sqrt(arg);
}
public static Expr sqrt(Expr arg, double root) {
return new Sqrt(arg, Expr.valueOf(root));
}
public static Expr sqrt(Expr arg, Expr root) {
return Sqrt.simplifiedIns(arg, root);
}
public static Expr exp(Expr x) {
return Exp.simplifiedIns(x);
}
public static Expr exp(double x) {
return Exp.simplifiedIns(Expr.valueOf(x));
}
public static Expr log(Expr x) {
return Log.simplifiedIns(x);
}
public static Expr log(Expr base, double expr) {
return Log.simplifiedIns(base, Expr.valueOf(expr));
}
public static Expr log(double base, Expr expr) {
return Log.simplifiedIns(Expr.valueOf(base), expr);
}
public static Expr log(Expr base, Expr expr) {
return Log.simplifiedIns(base, expr);
}
public static Expr log10(Expr x) {
return Log10.simplifiedIns(x);
}
public static Expr log2(Expr x) {
return Log2.simplifiedIns(x);
}
///////////////////////////////////////////////////////////////
public static Expr sin(Expr x) {
return Sin.simplifiedIns(x);
}
public static Expr cos(Expr x) {
return Cos.simplifiedIns(x);
}
public static Expr tan(Expr x) {
return Tan.simplifiedIns(x);
}
//////////////////////////////////////////////////////////////
public static Expr dot(SymVector l, SymVector r) {
return Dot.apply(l, r);
}
public static Expr dot(double[] l, SymVector r) {
SymVector v = new SymVector(l, 0, r.dim());
return Dot.apply(v, r);
}
public static Expr dot(SymVector l, double[] r) {
SymVector v = new SymVector(r, 0, l.dim());
return Dot.apply(l, v);
}
// public static Expr dot(double[] l, double[] r) {
// double sum = 0.0;
// for(int i=0; i<l.length; i++)
// sum += l[i]*r[i];
// return sum;
// }
// ???
// Exception in thread "main" java.lang.VerifyError: Bad type on operand stack
// Exception Details:
// Location:
// symjava/math/SymMath.dot([D[D)Lsymjava/symbolic/Expr; @34: dreturn
// Reason:
// Type 'symjava/symbolic/Expr' (current frame, stack[0]) is not assignable to double_2nd
// Current Frame:
// bci: @34
// flags: { }
// locals: { '[D', '[D', double, double_2nd, integer }
// stack: { 'symjava/symbolic/Expr' }
// Bytecode:
// 0000000: 0e49 0336 04a7 0012 282a 1504 312b 1504
// 0000010: 316b 6349 8404 0115 042a bea1 ffed 28b8
// 0000020: 002c af
// Stackmap Table:
// append_frame(@8,Double,Integer)
// same_frame(@23)
//
// at symjava.examples.SVM.main(SVM.java:11)
/**
* Return Gradient of f
* @param f
* @return
*/
public static SymVector grad(Expr f) {
return Grad.apply(f);
}
/**
* Return Hessian Matrix of f
* @param f
* @return
*/
public static SymMatrix hess(Expr f) {
Expr[] args = Utils.extractSymbols(f).toArray(new Expr[0]);
SymVector grad = Grad.apply(f, args);
SymMatrix mat = new SymMatrix();
for(Expr e : grad) {
mat.add(Grad.apply(e, args));
}
return mat;
}
}