1  
       2  /* Compiler implementation of the D programming language
       3   * Copyright (C) 1999-2023 by The D Language Foundation, All Rights Reserved
       4   * written by Walter Bright
       5   * https://www.digitalmars.com
       6   * Distributed under the Boost Software License, Version 1.0.
       7   * https://www.boost.org/LICENSE_1_0.txt
       8   * https://github.com/dlang/dmd/blob/master/src/dmd/root/complex_t.h
       9   */
      10  
      11  #pragma once
      12  
      13  #include "ctfloat.h"
      14  
      15  /* Roll our own complex type for compilers that don't support complex
      16   */
      17  
      18  struct complex_t
      19  {
      20      real_t re;
      21      real_t im;
      22  
      23      complex_t(real_t re) : re(re), im(CTFloat::zero) {}
      24      complex_t(real_t re, real_t im) : re(re), im(im) {}
      25  
      26      complex_t operator + (complex_t y) { return complex_t(re + y.re, im + y.im); }
      27      complex_t operator - (complex_t y) { return complex_t(re - y.re, im - y.im); }
      28      complex_t operator - () { return complex_t(-re, -im); }
      29      complex_t operator * (complex_t y) { return complex_t(re * y.re - im * y.im, im * y.re + re * y.im); }
      30  
      31      complex_t operator / (complex_t y)
      32      {
      33          if (CTFloat::fabs(y.re) < CTFloat::fabs(y.im))
      34          {
      35              real_t r = y.re / y.im;
      36              real_t den = y.im + r * y.re;
      37              return complex_t((re * r + im) / den,
      38                               (im * r - re) / den);
      39          }
      40          else
      41          {
      42              real_t r = y.im / y.re;
      43              real_t den = y.re + r * y.im;
      44              return complex_t((re + r * im) / den,
      45                               (im - r * re) / den);
      46          }
      47      }
      48  
      49      operator bool () { return re || im; }
      50  
      51      int operator == (complex_t y) { return re == y.re && im == y.im; }
      52      int operator != (complex_t y) { return re != y.re || im != y.im; }
      53  
      54  private:
      55      complex_t() : re(CTFloat::zero), im(CTFloat::zero) {}
      56  };
      57  
      58  inline complex_t operator * (real_t x, complex_t y) { return complex_t(x) * y; }
      59  inline complex_t operator * (complex_t x, real_t y) { return x * complex_t(y); }
      60  inline complex_t operator / (complex_t x, real_t y) { return x / complex_t(y); }
      61  
      62  
      63  inline real_t creall(complex_t x)
      64  {
      65      return x.re;
      66  }
      67  
      68  inline real_t cimagl(complex_t x)
      69  {
      70      return x.im;
      71  }