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Implement hyperbolic functions for various Algebras #118

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CommanderTvis merged 14 commits from hyp-trig-functions into dev 2020-08-11 18:18:06 +03:00
Conversation 1 Commits 14 Files Changed 11 +23 -18
2 changed files with 23 additions and 18 deletions
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11
kmath-core/src/commonMain/kotlin/scientifik/kmath/operations/Complex.kt
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@ -104,7 +104,12 @@ object ComplexField : ExtendedField<Complex> {
override fun asinh(arg: Complex): Complex = ln(sqrt((arg pow 2) + 1) + arg) override fun asinh(arg: Complex): Complex = ln(sqrt((arg pow 2) + 1) + arg)
override fun acosh(arg: Complex): Complex = ln(arg + sqrt((arg - 1) * (arg + 1))) override fun acosh(arg: Complex): Complex = ln(arg + sqrt((arg - 1) * (arg + 1)))
override fun atanh(arg: Complex): Complex = (ln(arg + 1) - ln(1 - arg)) / 2 override fun atanh(arg: Complex): Complex = (ln(arg + 1) - ln(1 - arg)) / 2
override fun power(arg: Complex, pow: Number): Complex = exp(ln(arg) * pow)
override fun power(arg: Complex, pow: Number): Complex = if (arg.im == 0.0)
arg.re.pow(pow.toDouble()).toComplex()
else
exp(pow * ln(arg))
override fun exp(arg: Complex): Complex = exp(arg.re) * (cos(arg.im) + i * sin(arg.im)) override fun exp(arg: Complex): Complex = exp(arg.re) * (cos(arg.im) + i * sin(arg.im))
override fun ln(arg: Complex): Complex = ln(arg.r) + i * atan2(arg.im, arg.re) override fun ln(arg: Complex): Complex = ln(arg.r) + i * atan2(arg.im, arg.re)
@ -145,9 +150,9 @@ data class Complex(val re: Double, val im: Double) : FieldElement<Complex, Compl
} }
/** /**
* Creates a [Complex] with its real part of this double. * Creates a [Complex] with real part equal to this number.
*/ */
fun Double.toComplex(): Complex = Complex(this, 0.0) fun Number.toComplex(): Complex = Complex(this, 0.0)
inline fun Buffer.Companion.complex(size: Int, crossinline init: (Int) -> Complex): Buffer<Complex> = inline fun Buffer.Companion.complex(size: Int, crossinline init: (Int) -> Complex): Buffer<Complex> =
MemoryBuffer.create(Complex, size, init) MemoryBuffer.create(Complex, size, init)

30
kmath-core/src/commonMain/kotlin/scientifik/kmath/structures/ComplexNDField.kt
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@ -70,25 +70,25 @@ class ComplexNDField(override val shape: IntArray) :
override fun NDBuffer<Complex>.toElement(): FieldElement<NDBuffer<Complex>, *, out BufferedNDField<Complex, ComplexField>> = override fun NDBuffer<Complex>.toElement(): FieldElement<NDBuffer<Complex>, *, out BufferedNDField<Complex, ComplexField>> =
BufferedNDFieldElement(this@ComplexNDField, buffer) BufferedNDFieldElement(this@ComplexNDField, buffer)
override fun power(arg: NDBuffer<Complex>, pow: Number): BufferedNDFieldElement<Complex, ComplexField> = override fun power(arg: NDBuffer<Complex>, pow: Number): ComplexNDElement =
map(arg) { power(it, pow) } map(arg) { power(it, pow) }
override fun exp(arg: NDBuffer<Complex>): BufferedNDFieldElement<Complex, ComplexField> = map(arg) { exp(it) } override fun exp(arg: NDBuffer<Complex>): ComplexNDElement = map(arg) { exp(it) }
override fun ln(arg: NDBuffer<Complex>): BufferedNDFieldElement<Complex, ComplexField> = map(arg) { ln(it) } override fun ln(arg: NDBuffer<Complex>): ComplexNDElement = map(arg) { ln(it) }
override fun sin(arg: NDBuffer<Complex>): BufferedNDFieldElement<Complex, ComplexField> = map(arg) { sin(it) } override fun sin(arg: NDBuffer<Complex>): ComplexNDElement = map(arg) { sin(it) }
override fun cos(arg: NDBuffer<Complex>): BufferedNDFieldElement<Complex, ComplexField> = map(arg) { cos(it) } override fun cos(arg: NDBuffer<Complex>): ComplexNDElement = map(arg) { cos(it) }
override fun tan(arg: NDBuffer<Complex>): BufferedNDFieldElement<Complex, ComplexField> = map(arg) { tan(it) } override fun tan(arg: NDBuffer<Complex>): ComplexNDElement = map(arg) { tan(it) }
override fun asin(arg: NDBuffer<Complex>): BufferedNDFieldElement<Complex, ComplexField> = map(arg) { asin(it) } override fun asin(arg: NDBuffer<Complex>): ComplexNDElement = map(arg) { asin(it) }
override fun acos(arg: NDBuffer<Complex>): BufferedNDFieldElement<Complex, ComplexField> = map(arg) { acos(it) } override fun acos(arg: NDBuffer<Complex>): ComplexNDElement = map(arg) { acos(it) }
override fun atan(arg: NDBuffer<Complex>): BufferedNDFieldElement<Complex, ComplexField> = map(arg) { atan(it) } override fun atan(arg: NDBuffer<Complex>): ComplexNDElement = map(arg) { atan(it) }
override fun sinh(arg: NDBuffer<Complex>): BufferedNDFieldElement<Complex, ComplexField> = map(arg) { sinh(it) } override fun sinh(arg: NDBuffer<Complex>): ComplexNDElement = map(arg) { sinh(it) }
override fun cosh(arg: NDBuffer<Complex>): BufferedNDFieldElement<Complex, ComplexField> = map(arg) { cosh(it) } override fun cosh(arg: NDBuffer<Complex>): ComplexNDElement = map(arg) { cosh(it) }
override fun tanh(arg: NDBuffer<Complex>): BufferedNDFieldElement<Complex, ComplexField> = map(arg) { tanh(it) } override fun tanh(arg: NDBuffer<Complex>): ComplexNDElement = map(arg) { tanh(it) }
override fun asinh(arg: NDBuffer<Complex>): BufferedNDFieldElement<Complex, ComplexField> = map(arg) { asinh(it) } override fun asinh(arg: NDBuffer<Complex>): ComplexNDElement = map(arg) { asinh(it) }
override fun acosh(arg: NDBuffer<Complex>): BufferedNDFieldElement<Complex, ComplexField> = map(arg) { acosh(it) } override fun acosh(arg: NDBuffer<Complex>): ComplexNDElement = map(arg) { acosh(it) }
override fun atanh(arg: NDBuffer<Complex>): BufferedNDFieldElement<Complex, ComplexField> = map(arg) { atanh(it) } override fun atanh(arg: NDBuffer<Complex>): ComplexNDElement = map(arg) { atanh(it) }
} }