updated-packages

vendor/markbaker/complex/classes/src/functions/asin.php

@@ -0,0 +1,39 @@
+<?php
+
+/**
+ *
+ * Function code for the complex asin() function
+ *
+ * @copyright  Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
+ * @license    https://opensource.org/licenses/MIT    MIT
+ */
+namespace Complex;
+
+/**
+ * Returns the inverse sine of a complex number.
+ *
+ * @param     Complex|mixed    $complex    Complex number or a numeric value.
+ * @return    Complex          The inverse sine of the complex argument.
+ * @throws    Exception        If argument isn't a valid real or complex number.
+ */
+if (!function_exists(__NAMESPACE__ . '\\asin')) {
+    function asin($complex): Complex
+    {
+        $complex = Complex::validateComplexArgument($complex);
+
+        $square = multiply($complex, $complex);
+        $invsqrt = new Complex(1.0);
+        $invsqrt = subtract($invsqrt, $square);
+        $invsqrt = sqrt($invsqrt);
+        $adjust = new Complex(
+            $invsqrt->getReal() - $complex->getImaginary(),
+            $invsqrt->getImaginary() + $complex->getReal()
+        );
+        $log = ln($adjust);
+
+        return new Complex(
+            $log->getImaginary(),
+            -1 * $log->getReal()
+        );
+    }
+}