cplxColor.cpp

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// -*- Mode:C++; Coding:us-ascii-unix; fill-column:158 -*-
/*******************************************************************************************************************************************************.H.S.**/
/**
 @file      cplxColor.cpp
 @author    Mitch Richling <https://www.mitchr.me>
 @brief     draw complex function plots@EOL
 @keywords
 @std       C++20
 @copyright
  @parblock
  Copyright (c) 1988-2015, Mitchell Jay Richling <https://www.mitchr.me> All rights reserved.
 
  Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:
 
  1. Redistributions of source code must retain the above copyright notice, this list of conditions, and the following disclaimer.
 
  2. Redistributions in binary form must reproduce the above copyright notice, this list of conditions, and the following disclaimer in the documentation
     and/or other materials provided with the distribution.
 
  3. Neither the name of the copyright holder nor the names of its contributors may be used to endorse or promote products derived from this software
     without specific prior written permission.
 
  THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
  IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE
  LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
  OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
  LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH
  DAMAGE.
  @endparblock
*/
/*******************************************************************************************************************************************************.H.E.**/
/** @cond exj */
 
//--------------------------------------------------------------------------------------------------------------------------------------------------------------
#include "ramCanvas.hpp"
 
//--------------------------------------------------------------------------------------------------------------------------------------------------------------
using cplx = std::complex<double>;
using ct_t = mjr::ramCanvas3c8b::colorType;
 
//--------------------------------------------------------------------------------------------------------------------------------------------------------------
cplx f(cplx z);
 
//--------------------------------------------------------------------------------------------------------------------------------------------------------------
int main(void) {
  std::chrono::time_point<std::chrono::system_clock> startTime = std::chrono::system_clock::now();
  const double ar       = 16/9.0; // Aspect ratio
  const int    hdLevel  = 4;      // 1=FHD/2 2=FHD, 4=4k, 8=8k
  mjr::ramCanvas3c8b theRamCanvas(960*hdLevel, 540*hdLevel, -2.2*ar, 2.2*ar, -2.2, 2.2);
  ct_t aColor;
 
  for(int y=0;y<theRamCanvas.getNumPixY();y++)  {
    if (0==(y % (hdLevel*20)))
        std::cout << "LINE: " << y << " of " << (540*hdLevel) << std::endl;
    for(int x=0;x<theRamCanvas.getNumPixX();x++) {
      cplx fz = f(cplx(theRamCanvas.int2realX(x), theRamCanvas.int2realY(y)));
 
      // We can use built in 2D color schemes in multiple diffrent ways.
      //
      // aColor = ct_t::cs2dRichardson<10.0, 10.0, 2.0, 1>::c(std::real(fz), std::imag(fz));
      // aColor = ct_t::cs2dRichardson<10.0, 10.0, 2.0, 1>::c(fz);
      //
      // ct_t::cs2dRichardson<10.0, 10.0, 2.0, 1>::c(aColor, fz);
      // ct_t::cs2dRichardson<10.0, 10.0, 2.0, 1>::c(aColor, std::real(fz), std::imag(fz));
      //
      // aColor.csSet<ct_t::cs2dRichardson<10.0, 10.0, 2.0, 1>>(fz);
      // aColor.csSet<ct_t::cs2dRichardson<10.0, 10.0, 2.0, 1>>(std::real(fz), std::imag(fz));
 
      // // Schemes designed for coloring complex functions
      // aColor.csSet<ct_t::cs2dRichardson< 10.0, 10.0, 10.0, 1>>(fz);
      // aColor.csSet<ct_t::cs2dThallerHSL< 10.0, 10.0, 10.0, 1>>(fz);
      // aColor.csSet<ct_t::cs2dThallerHSV< 10.0, 10.0, 10.0, 1>>(fz);
      // aColor.csSet<ct_t::cs2dThallerHSVm<10.0, 10.0, 10.0, 1>>(fz);
 
      // A common choice for color scheme is ct_t::csCColdeRainbow:
      //aColor.csSet<ct_t::cs2dIdxPalArg<ct_t::csCColdeRainbow, 3, 10.0, 10.0, 2.0, 1>>(fz); 
 
      aColor.csSet<ct_t::cs2dIdxPalArg<ct_t::csCColdeRainbow, 3, 5.0, 20.0, 2.0, 1>>(fz); 
 
      // Variable sized pallets can be used with an adapter
      //aColor.csSet<ct_t::cs2dIdxPalArg<ct_t::csVarToFixed_tpl<ct_t::csCBPiYG, 11>, 3, 10.0, 10.0, 2.0, 1>>(fz); 
 
      // Most variable sized pallets can be also be used directly as a continious pallet
      //aColor.csSet<ct_t::cs2dFltPalArg<ct_t::csCBPiYG, 3, 10.0, 10.0, 2.0, 1>>(fz); 
 
      // We can use cs2dFltPalArg for continious color pallets
      // aColor.csSet<ct_t::cs2dFltPalArg<ct_t::csPLYviridis, 3, 10.0, 10.0, 2.0, 1>>(fz); 
 
      theRamCanvas.drawPoint(x, y, aColor);
    }
  }
  theRamCanvas.writeTIFFfile("cplxColor.tiff");
  std::chrono::duration<double> runTime = std::chrono::system_clock::now() - startTime;
  std::cout << "Total Runtime " << runTime.count() << " sec" << std::endl;
}
 
//--------------------------------------------------------------------------------------------------------------------------------------------------------------
cplx f(cplx z) {
  try {
 
    return 1.0/(z+1.0) + 1.0/(z-1.0);
 
    // z=z*cplx(1.5);
    // return ((z-2.0)*(z-2.0)*(z+cplx(1,-2))*(z+cplx(2,2))/(z*z*z));
 
    // z=z/cplx(5.5);
    // return (std::sin(cplx(1)/z));
 
    // z=z/cplx(2.3);
    // for(int i=0; i<20; i++)
    //   z = z*z-cplx(0.75, 0.2);
    // return z;
 
    // z=(z*cplx(0, 1)+cplx(1.8, 0))*cplx(0.6, 0);
    // for(int i=0; i<3; i++)
    //   z = (std::sin(std::exp(z)) - cplx(1))/(std::cos(z*z) - cplx(2.0)*z*z + z + cplx(1));
    // return z;
 
    //return (std::sin(z) - cplx(1))/(z*z*z - cplx(0.5)*z*z + z + cplx(1));
 
    // return (std::sin(std::exp(z)) - cplx(1))/(std::cos(z*z) - cplx(2.0)*z*z + z + cplx(1));
 
    // return (z - cplx(1))/(z*z*z - cplx(0.5)*z*z + z + cplx(1));
 
    // return z;
 
    //// Eisenstein series E4
    // cplx f = 0.0;
    // cplx zp = z;
    // for(int n=1; n<20; n++) {
    //   f += static_cast<double>(n*n*n)*zp/(1.0-zp);
    //   zp *= z;
    // }
    // f *= 240;
    // f += 1;
    // return f;
 
    //// Eisenstein series E6
    // cplx f = 0.0;
    // cplx zp = z;
    // for(int n=1; n<20; n++) {
    //   f += static_cast<double>(n*n*n*n*n)*zp/(1.0-zp);
    //   zp *= z;
    // }
    // f *= 504.0;
    // f = 1.0 - f;
    // return f;
 
    // //// Eisenstein series G6
    // cplx f = 0.0;
    // for(int n=1; n<10; n++) 
    //   for(int m=1; m<10; m++) {
    //     cplx d = 1.0/std::pow(static_cast<double>(m) + static_cast<double>(n) * z, 6.0);
    //     f += d;
    //     if (std::abs(d) < 0.00001) break;
    //   }
    // return f;
 
  } catch(...) {
    std::cout << "Something went wrong!!" << std::endl;
    return 0;
  }
}
 
 
 
/** @endcond */