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org.nd4j.linalg.api.complex.BaseComplexDouble Maven / Gradle / Ivy
/*-
*
* * Copyright 2015 Skymind,Inc.
* *
* * 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 org.nd4j.linalg.api.complex;
import org.apache.commons.math3.util.FastMath;
/**
* Base class for complex doubles
*
* @author Adam Gibson
*/
public abstract class BaseComplexDouble implements IComplexDouble {
protected double real, imag;
public BaseComplexDouble() {}
public BaseComplexDouble(Double real, Double imag) {
this.real = real;
this.imag = imag;
}
public BaseComplexDouble(double real, double imag) {
this.real = real;
this.imag = imag;
}
public BaseComplexDouble(double real) {
this(real, 0);
}
@Override
public IComplexNumber dup() {
// return Nd4j.createComplexNumber(real, imag);
throw new UnsupportedOperationException();
}
@Override
public IComplexNumber eqc(IComplexNumber num) {
double val = num.realComponent().doubleValue();
double imag = num.imaginaryComponent().doubleValue();
double otherVal = num.realComponent().doubleValue();
double otherImag = num.imaginaryComponent().doubleValue();
/* if (val == otherVal)
return Nd4j.createComplexNumber(1, 0);
else if (val != otherVal)
return Nd4j.createComplexNumber(0, 0);
else if (imag == otherImag)
return Nd4j.createComplexNumber(1, 0);
else
return Nd4j.createComplexNumber(0, 0);*/
throw new UnsupportedOperationException();
}
@Override
public IComplexNumber neqc(IComplexNumber num) {
double val = num.realComponent().doubleValue();
double imag = num.imaginaryComponent().doubleValue();
double otherVal = num.realComponent().doubleValue();
double otherImag = num.imaginaryComponent().doubleValue();
/* if (val != otherVal)
return Nd4j.createComplexNumber(1, 0);
else if (val == otherVal)
return Nd4j.createComplexNumber(0, 0);
else if (imag != otherImag)
return Nd4j.createComplexNumber(1, 0);
else
return Nd4j.createComplexNumber(0, 0);*/
throw new UnsupportedOperationException();
}
@Override
public IComplexNumber gt(IComplexNumber num) {
double val = num.realComponent().doubleValue();
double imag = num.imaginaryComponent().doubleValue();
double otherVal = num.realComponent().doubleValue();
double otherImag = num.imaginaryComponent().doubleValue();
/* if (val > otherVal)
return Nd4j.createComplexNumber(1, 0);
else if (val < otherVal)
return Nd4j.createComplexNumber(0, 0);
else if (imag > otherImag)
return Nd4j.createComplexNumber(1, 0);
else
return Nd4j.createComplexNumber(0, 0);*/
throw new UnsupportedOperationException();
}
@Override
public IComplexNumber lt(IComplexNumber num) {
double val = num.realComponent().doubleValue();
double imag = num.imaginaryComponent().doubleValue();
double otherVal = num.realComponent().doubleValue();
double otherImag = num.imaginaryComponent().doubleValue();
/* if (val < otherVal)
return Nd4j.createComplexNumber(1, 0);
else if (val > otherVal)
return Nd4j.createComplexNumber(0, 0);
else if (imag < otherImag)
return Nd4j.createComplexNumber(1, 0);
else
return Nd4j.createComplexNumber(0, 0);*/
throw new UnsupportedOperationException();
}
/**
* Convert to a double
*
* @return this complex number as a double
*/
@Override
public IComplexDouble asDouble() {
return this;
}
@Override
public IComplexDouble conji() {
set(realComponent(), -imaginaryComponent());
return this;
}
@Override
public IComplexNumber conj() {
return dup().conji();
}
@Override
public IComplexNumber set(Number real, Number imag) {
this.real = real.doubleValue();
this.imag = imag.doubleValue();
return this;
}
@Override
public IComplexNumber copy(IComplexNumber other) {
// return Nd4j.createDouble(other.realComponent().doubleValue(), other.imaginaryComponent().doubleValue());
throw new UnsupportedOperationException();
}
@Override
public IComplexNumber set(IComplexNumber set) {
return set(set.realComponent().doubleValue(), set.imaginaryComponent().doubleValue());
}
@Override
public IComplexNumber rsubi(IComplexNumber c) {
return rsubi(c, this);
}
@Override
public IComplexNumber rsub(IComplexNumber c) {
return dup().rsubi(c);
}
@Override
public IComplexNumber rsubi(IComplexNumber a, IComplexNumber result) {
return result.set(a.sub(this));
}
@Override
public IComplexNumber rsubi(Number a, IComplexNumber result) {
return result.set(a.doubleValue() - result.realComponent().doubleValue(), imaginaryComponent());
}
@Override
public IComplexNumber rsubi(Number a) {
return set(a.doubleValue() - realComponent().doubleValue(), imaginaryComponent());
}
@Override
public IComplexNumber rsub(Number r) {
return dup().rsubi(r);
}
@Override
public IComplexNumber rdiv(IComplexNumber c) {
return dup().rdivi(c);
}
@Override
public IComplexNumber rdivi(IComplexNumber c, IComplexNumber result) {
return result.set(c.realComponent().doubleValue() / realComponent().doubleValue(),
c.imaginaryComponent().doubleValue() / imaginaryComponent().doubleValue());
}
@Override
public IComplexNumber rdivi(IComplexNumber c) {
return rdivi(c, this);
}
@Override
public IComplexNumber rdivi(Number v, IComplexNumber result) {
double d = realComponent().doubleValue() * realComponent().doubleValue()
+ imaginaryComponent().doubleValue() * imaginaryComponent().doubleValue();
return result.set(v.doubleValue() * result.realComponent().doubleValue() / d,
-v.doubleValue() * result.imaginaryComponent().doubleValue() / d);
}
@Override
public IComplexNumber rdivi(Number v) {
return set(v.doubleValue() / realComponent().doubleValue(), imaginaryComponent());
}
@Override
public IComplexNumber rdiv(Number v) {
return dup().rdivi(v);
}
@Override
public IComplexFloat asFloat() {
// return Nd4j.createFloat(realComponent().floatValue(), imaginaryComponent().floatValue());
throw new UnsupportedOperationException();
}
/**
* Add two complex numbers in-place
*
* @param c
* @param result
*/
@Override
public IComplexNumber addi(IComplexNumber c, IComplexNumber result) {
result.set(realComponent().doubleValue() + c.realComponent().doubleValue(),
imaginaryComponent().doubleValue() + c.imaginaryComponent().doubleValue());
return this;
}
/**
* Add two complex numbers in-place storing the result in this.
*
* @param c
*/
@Override
public IComplexNumber addi(IComplexNumber c) {
return addi(c, this);
}
/**
* Add two complex numbers.
*
* @param c
*/
@Override
public IComplexNumber add(IComplexNumber c) {
return dup().addi(c);
}
/**
* Add a realComponent number to a complex number in-place.
*
* @param a
* @param result
*/
@Override
public IComplexNumber addi(Number a, IComplexNumber result) {
return result.set(result.realComponent().doubleValue() + a.doubleValue(),
result.imaginaryComponent().doubleValue());
}
/**
* Add a realComponent number to complex number in-place, storing the result in this.
*
* @param c
*/
@Override
public IComplexNumber addi(Number c) {
return addi(c, this);
}
/**
* Add a realComponent number to a complex number.
*
* @param c
*/
@Override
public IComplexNumber add(Number c) {
return dup().addi(c);
}
/**
* Subtract two complex numbers, in-place
*
* @param c
* @param result
*/
@Override
public IComplexNumber subi(IComplexNumber c, IComplexNumber result) {
return result.set(realComponent().doubleValue() - c.realComponent().doubleValue(),
imaginaryComponent().doubleValue() - c.imaginaryComponent().doubleValue());
}
@Override
public IComplexNumber subi(IComplexNumber c) {
return subi(c, this);
}
/**
* Subtract two complex numbers
*
* @param c
*/
@Override
public IComplexNumber sub(IComplexNumber c) {
return dup().subi(c);
}
@Override
public IComplexNumber subi(Number a, IComplexNumber result) {
return result.set(realComponent().doubleValue() - a.doubleValue(), imaginaryComponent().doubleValue());
}
@Override
public IComplexNumber subi(Number a) {
return subi(a, this);
}
@Override
public IComplexNumber sub(Number r) {
return dup().subi(r);
}
/**
* Multiply two complex numbers, inplace
*
* @param c
* @param result
*/
@Override
public IComplexNumber muli(IComplexNumber c, IComplexNumber result) {
double newR = real * c.realComponent().doubleValue() - imag * c.imaginaryComponent().doubleValue();
double newI = real * c.imaginaryComponent().doubleValue() + imag * c.realComponent().doubleValue();
result.set(newR, newI);
return result;
}
@Override
public IComplexNumber muli(IComplexNumber c) {
return muli(c, this);
}
/**
* Multiply two complex numbers
*
* @param c
*/
@Override
public IComplexNumber mul(IComplexNumber c) {
return dup().muli(c);
}
@Override
public IComplexNumber mul(Number v) {
return dup().muli(v);
}
@Override
public IComplexNumber muli(Number v, IComplexNumber result) {
return result.set(realComponent().doubleValue() * v.doubleValue(),
imaginaryComponent().doubleValue() * v.doubleValue());
}
@Override
public IComplexNumber muli(Number v) {
return muli(v, this);
}
@Override
public IComplexNumber exp() {
IComplexNumber result = dup();
double realExp = FastMath.exp(realComponent());
return result.set(realExp * FastMath.cos(imaginaryComponent()), realExp * FastMath.sin(imaginaryComponent()));
}
@Override
public IComplexNumber powi(IComplexNumber c, IComplexNumber result) {
IComplexNumber eval = log().muli(c).exp();
result.set(eval.realComponent(), eval.imaginaryComponent());
return result;
}
@Override
public IComplexNumber pow(Number v) {
return dup().powi(v);
}
@Override
public IComplexNumber pow(IComplexNumber c) {
return dup().powi(c);
}
@Override
public IComplexNumber powi(IComplexNumber c) {
return dup().powi(c, this);
}
@Override
public IComplexNumber powi(Number v) {
return dup().powi(v, this);
}
@Override
public IComplexNumber powi(Number v, IComplexNumber result) {
IComplexNumber eval = log().muli(v).exp();
result.set(eval.realComponent(), eval.imaginaryComponent());
return result;
}
/**
* Divide two complex numbers
*
* @param c
*/
@Override
public IComplexNumber div(IComplexNumber c) {
return dup().divi(c);
}
/**
* Divide two complex numbers, in-place
*
* @param c
* @param result
*/
@Override
public IComplexNumber divi(IComplexNumber c, IComplexNumber result) {
double d = c.realComponent().doubleValue() * c.realComponent().doubleValue()
+ c.imaginaryComponent().doubleValue() * c.imaginaryComponent().doubleValue();
double newR = (realComponent() * c.realComponent().doubleValue()
+ imaginaryComponent() * c.imaginaryComponent().doubleValue()) / d;
double newI = (imaginaryComponent() * c.realComponent().doubleValue()
- realComponent() * c.imaginaryComponent().doubleValue()) / d;
result.set(newR, newI);
return result;
}
@Override
public IComplexNumber divi(IComplexNumber c) {
return divi(c, this);
}
@Override
public IComplexNumber divi(Number v, IComplexNumber result) {
return result.set(result.realComponent().doubleValue() / v.doubleValue(),
result.imaginaryComponent().doubleValue() / v.doubleValue());
}
@Override
public IComplexNumber divi(Number v) {
return divi(v, this);
}
@Override
public IComplexNumber div(Number v) {
return dup().divi(v);
}
@Override
public boolean eq(IComplexNumber c) {
return realComponent().equals(c.realComponent()) && imaginaryComponent().equals(c.imaginaryComponent());
}
@Override
public boolean ne(IComplexNumber c) {
return !eq(c);
}
@Override
public boolean isZero() {
return real == 0;
}
@Override
public boolean isReal() {
return imag == 0;
}
@Override
public boolean isImag() {
return real == 0;
}
@Override
public Double realComponent() {
return real;
}
@Override
public Double imaginaryComponent() {
return imag;
}
@Override
public IComplexDouble divi(double v) {
this.imag = imag / v;
this.real /= v;
return this;
}
@Override
public IComplexNumber div(double v) {
return dup().divi(v);
}
/**
* Return the absolute value
*/
@Override
public Double absoluteValue() {
return Math.sqrt(real * real + imag * imag);
}
/**
* Returns the argument of a complex number.
*/
@Override
public Double complexArgument() {
return Math.acos(realComponent() / absoluteValue());
}
@Override
public IComplexDouble invi() {
double d = realComponent() * realComponent() + imaginaryComponent() * imaginaryComponent();
set(realComponent() / d, -imaginaryComponent() / d);
return this;
}
@Override
public IComplexNumber log() {
IComplexNumber result = dup();
double real = (double) result.realComponent();
double imaginary = (double) result.imaginaryComponent();
double modulus = FastMath.sqrt(real * real + imaginary * imaginary);
double arg = FastMath.atan2(imaginary, real);
return result.set(FastMath.log(modulus), arg);
}
@Override
public IComplexNumber inv() {
return dup().invi();
}
@Override
public IComplexNumber neg() {
return dup().negi();
}
@Override
public IComplexDouble negi() {
set(-realComponent(), -imaginaryComponent());
return this;
}
@Override
public IComplexDouble sqrt() {
double a = absoluteValue();
double s2 = Math.sqrt(2);
double p = Math.sqrt(a + realComponent()) / s2;
double q = Math.sqrt(a - realComponent()) / s2 * Math.signum(imaginaryComponent());
throw new UnsupportedOperationException();
}
@Override
public boolean equals(Object o) {
if (this == o)
return true;
if (!(o instanceof IComplexNumber))
return false;
IComplexNumber that = (IComplexNumber) o;
if (Math.abs(that.realComponent().doubleValue() - real) > 1e-12)
return false;
if (Math.abs(that.imaginaryComponent().doubleValue() - imag) > 1e-12)
return false;
return true;
}
@Override
public int hashCode() {
int result;
long temp;
temp = Double.doubleToLongBits(real);
result = (int) (temp ^ (temp >>> 32));
temp = Double.doubleToLongBits(imag);
result = 31 * result + (int) (temp ^ (temp >>> 32));
return result;
}
@Override
public String toString() {
if (imag >= 0) {
return real + " + " + imag + "i";
} else {
return real + " - " + (-imag) + "i";
}
}
}
