From 995a0f916be2c4989cc0df1897a71da84ce5c83c Mon Sep 17 00:00:00 2001
From: Iaroslav <postovalovya@gmail.com>
Date: Fri, 3 Jul 2020 19:20:44 +0700
Subject: [PATCH] Replace x pow 2 with multiplication x by x because of
 precision

---
 .../kotlin/scientifik/kmath/operations/Complex.kt     |  6 +++---
 .../scientifik/kmath/operations/ComplexFieldTest.kt   | 11 +++++------
 2 files changed, 8 insertions(+), 9 deletions(-)

diff --git a/kmath-core/src/commonMain/kotlin/scientifik/kmath/operations/Complex.kt b/kmath-core/src/commonMain/kotlin/scientifik/kmath/operations/Complex.kt
index e45dcb1ea..3e1f53ddc 100644
--- a/kmath-core/src/commonMain/kotlin/scientifik/kmath/operations/Complex.kt
+++ b/kmath-core/src/commonMain/kotlin/scientifik/kmath/operations/Complex.kt
@@ -90,8 +90,8 @@ object ComplexField : ExtendedField<Complex> {
         return i * (e1 - e2) / (e1 + e2)
     }
 
-    override fun asin(arg: Complex): Complex = -i * ln(sqrt(1 - (arg pow 2)) + i * arg)
-    override fun acos(arg: Complex): Complex = PI_DIV_2 + i * ln(sqrt(1 - (arg pow 2)) + i * arg)
+    override fun asin(arg: Complex): Complex = -i * ln(sqrt(1 - (arg * arg)) + i * arg)
+    override fun acos(arg: Complex): Complex = PI_DIV_2 + i * ln(sqrt(1 - (arg * arg)) + i * arg)
 
     override fun atan(arg: Complex): Complex {
         val iArg = i * arg
@@ -101,7 +101,7 @@ object ComplexField : ExtendedField<Complex> {
     override fun sinh(arg: Complex): Complex = (exp(arg) - exp(-arg)) / 2
     override fun cosh(arg: Complex): Complex = (exp(arg) + exp(-arg)) / 2
     override fun tanh(arg: Complex): Complex = (exp(arg) - exp(-arg)) / (exp(-arg) + exp(arg))
-    override fun asinh(arg: Complex): Complex = ln(sqrt((arg pow 2) + 1) + arg)
+    override fun asinh(arg: Complex): Complex = ln(sqrt(arg * arg + 1) + arg)
     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
 
diff --git a/kmath-core/src/commonTest/kotlin/scientifik/kmath/operations/ComplexFieldTest.kt b/kmath-core/src/commonTest/kotlin/scientifik/kmath/operations/ComplexFieldTest.kt
index 2986efd5f..1091a8de1 100644
--- a/kmath-core/src/commonTest/kotlin/scientifik/kmath/operations/ComplexFieldTest.kt
+++ b/kmath-core/src/commonTest/kotlin/scientifik/kmath/operations/ComplexFieldTest.kt
@@ -1,8 +1,9 @@
 package scientifik.kmath.operations
 
-import kotlin.math.PI
+import kotlin.math.*
 import kotlin.test.Test
 import kotlin.test.assertEquals
+import kotlin.test.assertTrue
 
 internal class ComplexFieldTest {
     @Test
@@ -44,16 +45,14 @@ internal class ComplexFieldTest {
     @Test
     fun testInverseSine() {
         assertEquals(Complex(0, -0.0), ComplexField { asin(zero) })
-
-        assertEquals(ComplexField { i * asinh(one) }.let { it.im.toInt() to it.re.toInt() },
-            ComplexField { asin(i) }.let { it.im.toInt() to it.re.toInt() })
+        assertTrue(abs(ComplexField { i * asinh(one) }.r - ComplexField { asin(i) }.r) < 0.000000000000001)
     }
 
     @Test
     fun testInverseHyperbolicSine() {
         assertEquals(
-            ComplexField { i * PI.toComplex() / 2 }.let { it.im.toInt() to it.re.toInt() },
-            ComplexField { asinh(i) }.let { it.im.toInt() to it.re.toInt() })
+            ComplexField { i * PI.toComplex() / 2 },
+            ComplexField { asinh(i) })
     }
 
     @Test