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exp-Newton.lisp
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exp-Newton.lisp
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;; -*- Mode:Lisp; Syntax:ANSI-Common-LISP; Coding:us-ascii-unix; fill-column:158 -*-
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;;
;; @file exp-Newton.lisp
;; @author Mitch Richling <https://www.mitchr.me>
;; @brief Draw Newton fractal and output to a TGA file.@EOL
;; @std Common Lisp
;; @copyright
;; @parblock
;; Copyright (c) 2012,2015, 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
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;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
(declaim (optimize (speed 3) (safety 0) ( debug 0) (compilation-speed 0)))
(let* ((n 11)
(xmax (expt 2 n))
(ymax (expt 2 n))
(smax 256)
(sfac1 15)
(sfac2 300)
(img1 (mjr_img_make xmax ymax))
(img2 (mjr_img_make xmax ymax)))
(declare (fixnum xmax ymax smax sfac1 sfac2))
(loop with left short-float = -1.2
with top short-float = 1.2
with xside short-float = 2.4
with yside short-float = 2.4
with xscale short-float = (/ xside xmax)
with yscale short-float = (/ yside ymax)
for y fixnum from 0 upto (1- ymax)
for cy short-float = (- top (* y yscale) )
do (print y)
do (loop for x fixnum from 0 upto (1- xmax)
for cx short-float = (+ (* x xscale) left)
do (loop for z = (complex cx cy) then (if (mjr_chk_!=0 (abs z)) (- z (/ (- (* z z z) 1.0) (* z z 3.0))) 0.0)
for cnt fixnum from 1
maximize (abs z) into zmax
until (or (>= cnt smax) (mjr_eps_= 0 (- (* z z z) 1) .0001))
finally (let ((cm1 (mod (* cnt sfac1) 256))
(cb (cond ((mjr_eps_= z #C( 1.0 0.0000000) .0001) #(1 0 0))
((mjr_eps_= z #C(-0.5 0.8660254) .0001) #(0 1 0))
((mjr_eps_= z #C(-0.5 -0.8660254) .0001) #(0 0 1))
('t #(0 0 0))))
(cm2 (mod (truncate (* sfac2 zmax)) 256)))
(mjr_img_set-px-color img1 x y (mjr_vec_- (mjr_vec_* 255 cb) (mjr_vec_* cm1 cb)))
(mjr_img_set-px-color img2 x y (mjr_vec_- (mjr_vec_* 255 cb) (mjr_vec_* cm2 cb)))))))
(mjr_img_tga-write "exp-Newton-OUT-1.tga" img1)
(mjr_img_tga-write "exp-Newton-OUT-2.tga" img2))