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org.nd4j.linalg.api.complex.BaseComplexDouble Maven / Gradle / Ivy
package org.nd4j.linalg.api.complex;
import org.nd4j.linalg.factory.Nd4j;
/**
* Base class for complex doubles
*
* @author Adam Gibson
*/
public abstract class BaseComplexDouble implements IComplexDouble {
protected double real,imag;
public BaseComplexDouble(double real, double imag) {
this.real = real;
this.imag = imag;
}
public BaseComplexDouble(double real) {
this(real,0);
}
/**
* 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());
}
/**
* Add two complex numbers in-place
*
* @param c
* @param result
*/
@Override
public IComplexNumber addi(IComplexNumber c, IComplexNumber result) {
if (this == result) {
set(realComponent() + c.realComponent().doubleValue(),imaginaryComponent() + c.imaginaryComponent().doubleValue());
} else {
result.set(result.realComponent().doubleValue() + c.realComponent().doubleValue(),
result.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) {
if (this == result) {
set(realComponent() + a.doubleValue(),imaginaryComponent() + a.doubleValue());
} else {
result.set(result.realComponent().doubleValue() + a.doubleValue(),imaginaryComponent() + a.doubleValue());
}
return result;
}
/**
* 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) {
if (this == result) {
set(realComponent() - c.realComponent().doubleValue(),imaginaryComponent() - c.imaginaryComponent().doubleValue());
} else {
result.set(result.realComponent().doubleValue() - c.realComponent().doubleValue(),result.imaginaryComponent().doubleValue() - c.imaginaryComponent().doubleValue());
}
return this;
}
@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) {
if (this == result) {
set(realComponent() - a.doubleValue(),imaginaryComponent() - a.doubleValue());
} else {
result.set(result.realComponent().doubleValue() - a.doubleValue(),imaginaryComponent() - a.doubleValue());
}
return result;
}
@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) {
if (this == result) {
set(realComponent() * v.doubleValue(),imaginaryComponent() * v.doubleValue());
} else {
result.set(result.realComponent().doubleValue() * v.doubleValue(),imaginaryComponent() * v.doubleValue());
}
return result;
}
@Override
public IComplexNumber muli(Number v) {
return muli(v,this);
}
/**
* 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) {
if (this == result) {
set(realComponent() / v.doubleValue(),imaginaryComponent() / v.doubleValue());
} else {
result.set(result.realComponent().doubleValue() / v.doubleValue(),result.imaginaryComponent().doubleValue() / v.doubleValue());
}
return result;
}
@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 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());
return Nd4j.createDouble(p, q);
}
@Override
public boolean equals(Object o) {
if (this == o) return true;
if (!(o instanceof BaseComplexDouble)) return false;
BaseComplexDouble that = (BaseComplexDouble) o;
if (Double.compare(that.imag, imag) != 0) return false;
if (Double.compare(that.real, real) != 0) 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";
}
}
}