Replace x pow 2 with multiplication x by x because of precision
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@ -90,8 +90,8 @@ object ComplexField : ExtendedField<Complex> {
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return i * (e1 - e2) / (e1 + e2)
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}
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override fun asin(arg: Complex): Complex = -i * ln(sqrt(1 - (arg pow 2)) + i * arg)
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override fun acos(arg: Complex): Complex = PI_DIV_2 + i * ln(sqrt(1 - (arg pow 2)) + i * arg)
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override fun asin(arg: Complex): Complex = -i * ln(sqrt(1 - (arg * arg)) + i * arg)
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override fun acos(arg: Complex): Complex = PI_DIV_2 + i * ln(sqrt(1 - (arg * arg)) + i * arg)
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override fun atan(arg: Complex): Complex {
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val iArg = i * arg
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@ -101,7 +101,7 @@ object ComplexField : ExtendedField<Complex> {
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override fun sinh(arg: Complex): Complex = (exp(arg) - exp(-arg)) / 2
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override fun cosh(arg: Complex): Complex = (exp(arg) + exp(-arg)) / 2
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override fun tanh(arg: Complex): Complex = (exp(arg) - exp(-arg)) / (exp(-arg) + exp(arg))
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override fun asinh(arg: Complex): Complex = ln(sqrt((arg pow 2) + 1) + arg)
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override fun asinh(arg: Complex): Complex = ln(sqrt(arg * arg + 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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@ -1,8 +1,9 @@
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package scientifik.kmath.operations
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import kotlin.math.PI
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import kotlin.math.*
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import kotlin.test.Test
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import kotlin.test.assertEquals
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import kotlin.test.assertTrue
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internal class ComplexFieldTest {
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@Test
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@ -44,16 +45,14 @@ internal class ComplexFieldTest {
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@Test
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fun testInverseSine() {
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assertEquals(Complex(0, -0.0), ComplexField { asin(zero) })
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assertEquals(ComplexField { i * asinh(one) }.let { it.im.toInt() to it.re.toInt() },
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ComplexField { asin(i) }.let { it.im.toInt() to it.re.toInt() })
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assertTrue(abs(ComplexField { i * asinh(one) }.r - ComplexField { asin(i) }.r) < 0.000000000000001)
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}
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@Test
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fun testInverseHyperbolicSine() {
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assertEquals(
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ComplexField { i * PI.toComplex() / 2 }.let { it.im.toInt() to it.re.toInt() },
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ComplexField { asinh(i) }.let { it.im.toInt() to it.re.toInt() })
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ComplexField { i * PI.toComplex() / 2 },
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ComplexField { asinh(i) })
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}
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@Test
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