exp.php 1.0 KB

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  1. <?php
  2. /**
  3. *
  4. * Function code for the complex exp() function
  5. *
  6. * @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
  7. * @license https://opensource.org/licenses/MIT MIT
  8. */
  9. namespace Complex;
  10. /**
  11. * Returns the exponential of a complex number.
  12. *
  13. * @param Complex|mixed $complex Complex number or a numeric value.
  14. * @return Complex The exponential of the complex argument.
  15. * @throws Exception If argument isn't a valid real or complex number.
  16. */
  17. if (!function_exists(__NAMESPACE__ . '\\exp')) {
  18. function exp($complex): Complex
  19. {
  20. $complex = Complex::validateComplexArgument($complex);
  21. if (($complex->getReal() == 0.0) && (\abs($complex->getImaginary()) == M_PI)) {
  22. return new Complex(-1.0, 0.0);
  23. }
  24. $rho = \exp($complex->getReal());
  25. return new Complex(
  26. $rho * \cos($complex->getImaginary()),
  27. $rho * \sin($complex->getImaginary()),
  28. $complex->getSuffix()
  29. );
  30. }
  31. }