0.1.4 #137
@ -104,7 +104,12 @@ object ComplexField : ExtendedField<Complex> {
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override fun asinh(arg: Complex): Complex = ln(sqrt((arg pow 2) + 1) + arg)
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override fun acosh(arg: Complex): Complex = ln(arg + sqrt((arg - 1) * (arg + 1)))
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override fun atanh(arg: Complex): Complex = (ln(arg + 1) - ln(1 - arg)) / 2
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override fun power(arg: Complex, pow: Number): Complex = exp(ln(arg) * pow)
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override fun power(arg: Complex, pow: Number): Complex = if (arg.im == 0.0)
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arg.re.pow(pow.toDouble()).toComplex()
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else
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exp(pow * ln(arg))
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override fun exp(arg: Complex): Complex = exp(arg.re) * (cos(arg.im) + i * sin(arg.im))
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override fun ln(arg: Complex): Complex = ln(arg.r) + i * atan2(arg.im, arg.re)
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@ -145,9 +150,9 @@ data class Complex(val re: Double, val im: Double) : FieldElement<Complex, Compl
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}
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/**
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* Creates a [Complex] with its real part of this double.
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* Creates a [Complex] with real part equal to this number.
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*/
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fun Double.toComplex(): Complex = Complex(this, 0.0)
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fun Number.toComplex(): Complex = Complex(this, 0.0)
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inline fun Buffer.Companion.complex(size: Int, crossinline init: (Int) -> Complex): Buffer<Complex> =
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MemoryBuffer.create(Complex, size, init)
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@ -70,25 +70,25 @@ class ComplexNDField(override val shape: IntArray) :
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override fun NDBuffer<Complex>.toElement(): FieldElement<NDBuffer<Complex>, *, out BufferedNDField<Complex, ComplexField>> =
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BufferedNDFieldElement(this@ComplexNDField, buffer)
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override fun power(arg: NDBuffer<Complex>, pow: Number): BufferedNDFieldElement<Complex, ComplexField> =
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override fun power(arg: NDBuffer<Complex>, pow: Number): ComplexNDElement =
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map(arg) { power(it, pow) }
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override fun exp(arg: NDBuffer<Complex>): BufferedNDFieldElement<Complex, ComplexField> = map(arg) { exp(it) }
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override fun ln(arg: NDBuffer<Complex>): BufferedNDFieldElement<Complex, ComplexField> = map(arg) { ln(it) }
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override fun exp(arg: NDBuffer<Complex>): ComplexNDElement = map(arg) { exp(it) }
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override fun ln(arg: NDBuffer<Complex>): ComplexNDElement = map(arg) { ln(it) }
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override fun sin(arg: NDBuffer<Complex>): BufferedNDFieldElement<Complex, ComplexField> = map(arg) { sin(it) }
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override fun cos(arg: NDBuffer<Complex>): BufferedNDFieldElement<Complex, ComplexField> = map(arg) { cos(it) }
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override fun tan(arg: NDBuffer<Complex>): BufferedNDFieldElement<Complex, ComplexField> = map(arg) { tan(it) }
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override fun asin(arg: NDBuffer<Complex>): BufferedNDFieldElement<Complex, ComplexField> = map(arg) { asin(it) }
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override fun acos(arg: NDBuffer<Complex>): BufferedNDFieldElement<Complex, ComplexField> = map(arg) { acos(it) }
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override fun atan(arg: NDBuffer<Complex>): BufferedNDFieldElement<Complex, ComplexField> = map(arg) { atan(it) }
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override fun sin(arg: NDBuffer<Complex>): ComplexNDElement = map(arg) { sin(it) }
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override fun cos(arg: NDBuffer<Complex>): ComplexNDElement = map(arg) { cos(it) }
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override fun tan(arg: NDBuffer<Complex>): ComplexNDElement = map(arg) { tan(it) }
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override fun asin(arg: NDBuffer<Complex>): ComplexNDElement = map(arg) { asin(it) }
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override fun acos(arg: NDBuffer<Complex>): ComplexNDElement = map(arg) { acos(it) }
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override fun atan(arg: NDBuffer<Complex>): ComplexNDElement = map(arg) { atan(it) }
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override fun sinh(arg: NDBuffer<Complex>): BufferedNDFieldElement<Complex, ComplexField> = map(arg) { sinh(it) }
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override fun cosh(arg: NDBuffer<Complex>): BufferedNDFieldElement<Complex, ComplexField> = map(arg) { cosh(it) }
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override fun tanh(arg: NDBuffer<Complex>): BufferedNDFieldElement<Complex, ComplexField> = map(arg) { tanh(it) }
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override fun asinh(arg: NDBuffer<Complex>): BufferedNDFieldElement<Complex, ComplexField> = map(arg) { asinh(it) }
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override fun acosh(arg: NDBuffer<Complex>): BufferedNDFieldElement<Complex, ComplexField> = map(arg) { acosh(it) }
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override fun atanh(arg: NDBuffer<Complex>): BufferedNDFieldElement<Complex, ComplexField> = map(arg) { atanh(it) }
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override fun sinh(arg: NDBuffer<Complex>): ComplexNDElement = map(arg) { sinh(it) }
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override fun cosh(arg: NDBuffer<Complex>): ComplexNDElement = map(arg) { cosh(it) }
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override fun tanh(arg: NDBuffer<Complex>): ComplexNDElement = map(arg) { tanh(it) }
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override fun asinh(arg: NDBuffer<Complex>): ComplexNDElement = map(arg) { asinh(it) }
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override fun acosh(arg: NDBuffer<Complex>): ComplexNDElement = map(arg) { acosh(it) }
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override fun atanh(arg: NDBuffer<Complex>): ComplexNDElement = map(arg) { atanh(it) }
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}
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