QuadraticMandel/genfractal.c - view

File: [Repository ATC2] / QuadraticMandel / genfractal.c
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Tue Oct 18 09:02:34 2011 UTC (12 years, 6 months ago) by cvsmgr
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Quadratic fractal set generation.

/******************************************************************************* +* Fractal set generation for quadratic maps. +* Copyright (C) 2011, Raúl Durán Díaz, raul.duran@uah.es +* +* This program is free software: you can redistribute it and/or modify +* it under the terms of the GNU General Public License as published by +* the Free Software Foundation, either version 3 of the License, or +* (at your option) any later version. +* +* This program is distributed in the hope that it will be useful, +* but WITHOUT ANY WARRANTY; without even the implied warranty of +* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +* GNU General Public License for more details. +* +* You should have received a copy of the GNU General Public License +* along with this program. If not, see <http://www.gnu.org/licenses/>. *******************************************************************************/ /******************************************************************************* +* +* 9.12.2005 +* +* $Id: genfractal.c,v 1.2 2011/10/18 09:02:34 cvsmgr Exp $ +* $Name: $ +* +* Falta por hacer el cálculo del mínimo A para Gc. Ahora se usa la +* iteración especial con valor de 50.0 +* *******************************************************************************/ # include <stdlib.h> # include <stdio.h> # include <string.h> # include <math.h> # include <stdarg.h> # include "mypng.h" # include "genfractal.h" # include "mathutil.h" enum Zona {ZONA_Fbc_MAS, ZONA_Fbc_MENOS, ZONA_Fc_MAS, ZONA_Fc_MENOS, ZONA_Gc, ZONA_00}; static double minA = 1.0; static double a1 = 1.0; static double b1 = 1.0; static double c1 = 1.0; static double a2 = 1.0; static double b2 = 1.0; static double c2 = 1.0; enum Zona zona = ZONA_Fbc_MAS; /******************************************************************************* +* El siguiente if a 1 para imagen en color, 0 para blanco y negro. *******************************************************************************/ # if 1 static void PNGColorAssign(png_colorp p, int iter, int itermax) { double ratio = 767.0*((double) iter / (double) itermax); int c = lround(ratio); # if 0 if (c != 0 && c != 767) printf("iter: %d, ratio=%lf, c=%d\n", iter, ratio, c); # endif switch (c/256) { case 0: p->blue = c%256; # if 0 if (c!=0 && c!=255) printf("Caso 0\n"); # endif break; case 1: p->blue = 255 - c%256; p->green = c%256; # if 0 if (c!=0 && c!=255) printf("Caso 1\n"); # endif break; default: p->green = 255 - c%256; p->red = c%256; # if 0 if (c!=0 && c!=255) printf("Caso default\n"); # endif } } # endif /******************************************************************************* +* El siguiente if a 0 para imagen en color, 1 para blanco y negro. *******************************************************************************/ # if 0 static void PNGColorAssign(png_colorp p, int iter, int itermax) { double ratio = 255.0*((double) iter / (double) itermax); /******************************************************************************* +* El siguiente if a 1 para fondo blanco, fractal negro. *******************************************************************************/ # if 1 p->blue = p->green = p->red = 255 - lround(ratio); # endif /******************************************************************************* +* El siguiente if a 1 para fondo negro, fractal blanco. *******************************************************************************/ # if 0 p->blue = p->green = p->red = lround(ratio); # endif } # endif static double ComputeZR(double zr, double zi) { return a1*zr*zr + 2.0*b1*zr*zi + c1*zi*zi; } static double ComputeZI(double zr, double zi) { return a2*zr*zr + 2.0*b2*zr*zi + c2*zi*zi; } static double maximo(double a, double b) { if (a > b) return a; else return b; } static double minimo(double a, double b) { if (a < b) return a; else return b; } /******************************************************************************* +* Función A_t para la parte F^+_{bc} *******************************************************************************/ static double Ap_t(double t) { return pow(1. - pow(t,2),2)/pow(1. + pow(t,2),2) + pow(t,2)/pow(1. + pow(t,2),2)* ( pow(c1,2)*pow(t,2) + 4.*pow(b1,2) + 4.*b1*c1*t ); } static void ComputeMinAplus00(void) { double t = sqrt(2./(2.+pow(c1,2))); minA = minimo(minA, Ap_t(t)); minA = minimo(minA, Ap_t(-t)); return; } void ComputeMinAplus(void) { double k; double p; double q; double d; double rho; double theta; double l1q; double l2q; int i; k = (pow(c1,2)-2.*pow(b1,2)+2.)/(3.*b1*c1); p = (-4.*k-3.*b1*c1-2.*pow(c1,2)*k+3.*b1*c1*pow(k,2)+4.*pow(b1,2)*k)/(b1*c1); q = (-2.*pow(k,2)-3.*b1*c1*k+2+b1*c1*pow(k,3)-2.*pow(b1,2)+2.*pow(b1,2)*pow(k,2)-pow(c1,2)*pow(k,2))/(b1*c1); if ((d = 81.*pow(q,2)+12.*pow(p,3)) < 0.0) { l1q = q*q/4.; l2q = -d/324.; rho = sqrt(l1q + l2q); theta = atan(sqrt(l2q/l1q)); for (i = 0; i < 3; i++) minA = minimo(minA, Ap_t(2.*pow(rho, 1./3.)*cos(theta/3. + 2.*i*M_PI/3.) + k)); } else { fprintf(stderr, "#WARNING: Discriminante positivo, sólo hay una solución.\n"); minA = minimo(minA, Ap_t(pow(-q/2. + sqrt(d)/18.,1./3.) + pow(-q/2. - sqrt(d)/18.,1./3.) + k)); } return; } /******************************************************************************* +* Función A_t para la parte F^-_{bc} *******************************************************************************/ static double Am_t(double t) { return 1 + pow(t,2)/pow(1. + pow(t,2),2)* ( pow(c1,2)*pow(t,2) + 4.*pow(b1,2) + 4.*b1*c1*t ); } static void ComputeMinAminus00(void) { if (b1 != 0.0) { minA = minimo(minA, Am_t(1.)); minA = minimo(minA, Am_t(-1.)); } return; } static void ComputeMinAminus(void) { double k; double p; double q; double d; double rho; double theta; double l1q; double l2q; int i; k = (pow(c1,2)-2.*pow(b1,2))/(3.*b1*c1); p = (4.*pow(b1,2)*k-2.*pow(c1,2)*k+3.*b1*c1*pow(k,2)-3.*b1*c1)/(b1*c1); q = (-2.*pow(b1,2)+2.*pow(b1,2)*pow(k,2)-pow(c1,2)*pow(k,2)+b1*c1*pow(k,3)-3.*b1*c1*k)/(b1*c1); if ((d = 81.*pow(q,2)+12.*pow(p,3)) < 0.0) { l1q = q*q/4.; l2q = -d/324.; rho = sqrt(l1q + l2q); theta = atan(sqrt(l2q/l1q)); for (i = 0; i < 3; i++) minA = minimo(minA, Am_t(2.*pow(rho, 1./3.)*cos(theta/3. + 2.*i*M_PI/3.) + k)); } else { fprintf(stderr, "#WARNING: Discriminante positivo, sólo hay una solución.\n"); minA = minimo(minA, Am_t(pow(-q/2. + sqrt(d)/18.,1./3.) + pow(-q/2. - sqrt(d)/18.,1./3.) + k)); } return; } /******************************************************************************* +* Función A_t y sus derivadas para la parte F^+_{c} *******************************************************************************/ static double AFcMas_t(double t) { return 1/pow(1. + pow(t,2),2)* ( pow(c1,2)*pow(t,4) + 4.*c1*pow(t,3) + 4.*pow(t,2) + 1. ); } static void ComputeMinAFcMas0(void) { minA = minimo(minA, AFcMas_t(sqrt(2.)/.2)); minA = minimo(minA, AFcMas_t(-sqrt(2.)/.2)); return; } static void ComputeMinAFcMas(void) { double k; double p; double q; double d; double rho; double theta; double l1q; double l2q; int i; k = 1./3.*(pow(c1,2)-2.)/c1; p = (-2.*k*pow(c1,2) + 4.*k + 3.*c1*pow(k,2) - 3.*c1)/c1; q = (-1. - pow(c1,2)*pow(k,2) + 2.*pow(k,2) + c1*pow(k,3) - 3.*c1*k)/c1; if ((d = 81.*pow(q,2)+12.*pow(p,3)) < 0.0) { l1q = q*q/4.; l2q = -d/324.; rho = sqrt(l1q + l2q); theta = atan(sqrt(l2q/l1q)); for (i = 0; i < 3; i++) minA = minimo(minA, AFcMas_t(2.*pow(rho, 1./3.)*cos(theta/3. + 2.*i*M_PI/3.) + k)); } else { fprintf(stderr, "#WARNING: Discriminante positivo, sólo hay una solución.\n"); minA = minimo(minA, AFcMas_t(pow(-q/2. + sqrt(d)/18.,1./3.) + pow(-q/2. - sqrt(d)/18.,1./3.) + k)); } return; } /******************************************************************************* +* Función A_t y sus derivadas para la parte F^-_{c} *******************************************************************************/ static double AFcMenos_t(double t) { return 1/pow(1. + pow(t,2),2)* ( pow(c1,2)*pow(t,4) - 4.*c1*pow(t,3) + 4.*pow(t,2) + 1. ); } static void ComputeMinAFcMenos0(void) { minA = minimo(minA, AFcMenos_t(sqrt(2.)/.2)); minA = minimo(minA, AFcMenos_t(-sqrt(2.)/.2)); return; } static void ComputeMinAFcMenos(void) { double k; double p; double q; double d; double rho; double theta; double l1q; double l2q; int i; k = -1./3.*(pow(c1,2)-2.)/c1; p = (2.*k*pow(c1,2) - 4.*k + 3.*c1*pow(k,2) - 3.*c1)/c1; q = (1. + pow(c1,2)*pow(k,2) - 2.*pow(k,2) + c1*pow(k,3) - 3.*c1*k)/c1; if ((d = 81.*pow(q,2)+12.*pow(p,3)) < 0.0) { l1q = q*q/4.; l2q = -d/324.; rho = sqrt(l1q + l2q); theta = atan(sqrt(l2q/l1q)); for (i = 0; i < 3; i++) minA = minimo(minA, AFcMenos_t(2.*pow(rho, 1./3.)*cos(theta/3. + 2.*i*M_PI/3.) + k)); } else { fprintf(stderr, "#WARNING: Discriminante positivo, sólo hay una solución.\n"); minA = minimo(minA, AFcMenos_t(pow(-q/2. + sqrt(d)/18.,1./3.) + pow(-q/2. - sqrt(d)/18.,1./3.) + k)); } return; } /******************************************************************************* +* Función para la parte G_{c} *******************************************************************************/ static void ComputeMinAGc(void) { double ypsilon; double Ypsilon; double tau1; ypsilon = 3*pow(c1,9) - 9*pow(c1,8) + 36*pow(c1,7) - 111*pow(c1,6) + 540*pow(c1,5) - 1107*pow(c1,4) + 2592*pow(c1,3) - 3321*pow(c1,2) + 6237*c1-10044; if (ypsilon > 0.0) { Ypsilon = pow((c1-1.)*pow(c1+1.,2) + sqrt(ypsilon)/9., 1./3.); tau1 = (3*pow(Ypsilon,2) + 3*(1-c1)*Ypsilon - (pow(c1,3)-pow(c1,2)+3*c1-15))/(3*c1*Ypsilon); } } /******************************************************************************* +* Cálculo del mínimo de la B y computación del Modúlo máximo. *******************************************************************************/ static double ComputeMod2Max(double alpha, double beta) { double minB = 0.0; if (zona == ZONA_Fbc_MAS) minB = c1*alpha - sqrt(pow(2.*b1*alpha,2)+pow(2.*beta-c1*alpha,2)); else if (zona == ZONA_Fbc_MENOS) minB = c1*alpha+2.*beta - sqrt(pow(2.*b1*alpha,2)+pow(c1*alpha,2)); else if (zona == ZONA_Fc_MAS) minB = beta + alpha*c1 - sqrt(pow(beta-alpha*c1,2) + 4.*pow(alpha,2)); else if (zona == ZONA_Fc_MENOS) minB = beta + alpha*c1 - sqrt(pow(beta-alpha*c1,2) + 4.*pow(alpha,2)); else if (zona == ZONA_Gc) minB = alpha*(c1 + 1.) - sqrt(pow(-c1+1.,2)*pow(alpha,2)+4.*pow(alpha-beta,2)); else if (zona == ZONA_00) minB = -2.*sqrt(pow(alpha,2) + pow(beta,2)); else { fprintf(stderr, "#ERROR: Zona no implementada en el cálculo de min B.\n"); return 0.; } return maximo(0., (1.-minB)/minA); } /******************************************************************************* +* Parte fija del cómputo. *******************************************************************************/ static void IterComputation(png_colorpp image, int itermax) { int row, col, iter; double mod2; double mod2max; double zrtemp, zitemp; double zr, zi; double cr, ci; # if 0 png_color p; # endif for (row = 0; row < NUM_ROWS; row++) { for (col = 0; col < NUM_COLS; col++) { cr = PixToCoordX(col); ci = PixToCoordY(row); mod2max = ComputeMod2Max(cr, ci); zr = 0.0; zi = 0.0; for (iter = 0; iter < itermax; iter++) { zrtemp = ComputeZR(zr, zi); zitemp = ComputeZI(zr, zi); zr = zrtemp + cr; zi = zitemp + ci; mod2 = zr*zr + zi*zi; if (mod2 > mod2max) { # if 0 printf("Nos salimos en la: %d\n", iter); # endif break; } } # if 0 if (iter >= itermax) printf("Nos salimos por exceso, en (%lf, %lf)\n", cr, ci); # endif PNGColorAssign(&image[row][col], iter, itermax); } } # if 0 p.red = 0; p.green = 255; p.blue = 0; DrawHorizLine(image, 0.0, p); DrawHorizLine(image, 1.0, p); DrawHorizLine(image, -1.0, p); DrawVertiLine(image, 0.0, p); DrawVertiLine(image, 1.0, p); DrawVertiLine(image, -1.0, p); # endif } /******************************************************************************* +* Parte fija del cómputo. *******************************************************************************/ static void IterComputationEspecial(png_colorpp image, int itermax, double modmax) { int row, col, iter; double mod2; double mod2max; double zrtemp, zitemp; double zr, zi; double cr, ci; int flag_changed = 0, mandel_zone = 0, is_break = 0; # if 0 png_color p; # endif for (row = 0; row < NUM_ROWS; row++) { for (col = 0; col < NUM_COLS; col++) { cr = PixToCoordX(col); ci = PixToCoordY(row); mod2max = modmax; zr = 0.0; zi = 0.0; is_break = 0; for (iter = 0; iter < itermax; iter++) { zrtemp = ComputeZR(zr, zi); zitemp = ComputeZI(zr, zi); zr = zrtemp + cr; zi = zitemp + ci; mod2 = zr*zr + zi*zi; if (mod2 > mod2max) { if (mandel_zone) { mandel_zone = 0; flag_changed = 1; } is_break = 1; break; } } if (is_break == 0) { if (mandel_zone == 0) { mandel_zone = 1; flag_changed = 1; } } else { if (mandel_zone == 1) { mandel_zone = 0; flag_changed = 1; } } if (flag_changed) { # if 0 printf("%15.10lf %15.10lf\n", cr, ci); # endif flag_changed = 0; } PNGColorAssign(&image[row][col], iter, itermax); } # if 0 printf("\n"); # endif } # if 0 p.red = 0; p.green = 255; p.blue = 0; DrawHorizLine(image, 0.0, p); DrawHorizLine(image, 1.0, p); DrawHorizLine(image, -1.0, p); DrawVertiLine(image, 0.0, p); DrawVertiLine(image, 1.0, p); DrawVertiLine(image, -1.0, p); # endif } /******************************************************************************* +* GenFractal +* Genera la imagen fractal para las zonas \Delta^+ y \Delta^- *******************************************************************************/ int GenFractal(char *img_name, double alpha, double beta, int itermax, double side_len, double offset_x, double offset_y) { png_colorpp image = NULL; png_text info_text[NUM_TEXT]; int status; double c_temp; /******************************************************************************* +* Parámetros de tamaño para la imagen. Reserva de memoria para ella. *******************************************************************************/ SetSide(side_len); SetOffsetX(offset_x); SetOffsetY(offset_y); if (!(image = AllocatePNG(NUM_ROWS, NUM_COLS))) return ERROR; BuildTextPtr(info_text, alpha, beta, itermax, side_len, offset_x, offset_y); /******************************************************************************* +* Definición de la forma cuadrática. +* Parte fija: *******************************************************************************/ a1 = 0.0; a2 = 1.0; b2 = 0.0; /******************************************************************************* +* Definición de la forma cuadrática. +* Chequeo de condiciones sobre alpha y beta. *******************************************************************************/ if (beta == 0.0) /* Beta ha de ser diferente de cero */ return ERROR; if ((alpha + 2.*beta) == 0.0) /* alpha + 2*beta != 0.0 */ return ERROR; /******************************************************************************* +* Definición de la forma cuadrática. +* Parte variable en función de alpha y beta: *******************************************************************************/ c_temp = (4.*pow(alpha,3) - 27.*pow(beta,2))/pow(alpha + 2.*beta,3); if (c_temp < 0.0) { /* Zona F^-_{bc} */ c2 = 1.0; zona = ZONA_Fbc_MENOS; } else { /* Zona F^+_{bc} */ c2 = -1.0; zona = ZONA_Fbc_MAS; } b1 = -c2*(alpha - beta)/(alpha + 2.*beta); c1 = sqrt((-c2)*c_temp); if (zona == ZONA_Fbc_MAS) { if (c1 == 2.*b1 || c1 == -2.*b1) { fprintf(stderr, "#ERROR: Valores de b1 y c1 inválidos.\n"); return ERROR; } } /******************************************************************************* +* Cálculo del mínimo de A, según valores de b1, c1 y zonas. *******************************************************************************/ minA = 1.; if (zona == ZONA_Fbc_MAS) { if (b1 == 0.0 || c1 == 0.0) ComputeMinAplus00(); else ComputeMinAplus(); } else if (zona == ZONA_Fbc_MENOS) { if (b1 == 0.0 || c1 == 0.0) ComputeMinAminus00(); else ComputeMinAminus(); } else { fprintf(stderr, "#ERROR: Zona no implementada.\n"); return ERROR; } /******************************************************************************* +* Computación y generación de la imagen. *******************************************************************************/ IterComputation(image, itermax); status = WritePNG(img_name, image, info_text, NUM_TEXT); DeallocatePNG(image, NUM_ROWS, NUM_COLS); return status; } /******************************************************************************* +* GenFractal +* Genera la imagen fractal para las zonas C^+ y C^- *******************************************************************************/ int GenFractalLinear(char *img_name, double alpha, double beta, int itermax, double side_len, double offset_x, double offset_y) { png_colorpp image = NULL; png_text info_text[NUM_TEXT]; int status; /******************************************************************************* +* Parámetros de tamaño para la imagen. Reserva de memoria para ella. *******************************************************************************/ SetSide(side_len); SetOffsetX(offset_x); SetOffsetY(offset_y); if (!(image = AllocatePNG(NUM_ROWS, NUM_COLS))) return ERROR; BuildTextPtr(info_text, alpha, beta, itermax, side_len, offset_x, offset_y); /******************************************************************************* +* Definición de la forma cuadrática. +* Parte fija: *******************************************************************************/ a1 = 0.0; a2 = 1.0; b2 = 0.0; c2 = 0.0; /******************************************************************************* +* Definición de la forma cuadrática. +* Chequeo de condiciones sobre beta. *******************************************************************************/ if (beta == 0.0) /* Beta ha de ser diferente de cero */ return ERROR; if (alpha + 2.*beta != 0.0) return ERROR; /* alpha + 2*beta ha de ser cero */ /******************************************************************************* +* Definición de la forma cuadrática. +* Parte variable en función de beta: setting de zonas. *******************************************************************************/ if (beta*(27.0+32.0*beta) < 0.0) { b1 = -1.0; zona = ZONA_Fc_MENOS; } else { b1 = 1.0; zona = ZONA_Fc_MAS; } c1 = b1/9.0*sqrt(fabs(3.0*(27.0+32.0*beta)/beta)); /******************************************************************************* +* Cálculo del mínimo de A, según valores de b1, c1 y zonas. *******************************************************************************/ minA = 1.; if (zona == ZONA_Fc_MAS) { if (c1 == 0.0) ComputeMinAFcMas0(); else ComputeMinAFcMas(); } else if (zona == ZONA_Fc_MENOS) { if (c1 == 0.0) ComputeMinAFcMenos0(); else ComputeMinAFcMenos(); } else { fprintf(stderr, "#ERROR: Zona no implementada.\n"); return ERROR; } /******************************************************************************* +* Computación y generación de la imagen. *******************************************************************************/ IterComputation(image, itermax); status = WritePNG(img_name, image, info_text, NUM_TEXT); DeallocatePNG(image, NUM_ROWS, NUM_COLS); return status; } /******************************************************************************* +* GenFractal +* Genera la imagen fractal para el eje X (menos el origen). *******************************************************************************/ int GenFractalAlpha(char *img_name, double alpha, double beta, int itermax, double side_len, double offset_x, double offset_y) { png_colorpp image = NULL; png_text info_text[NUM_TEXT]; int status; /******************************************************************************* +* Parámetros de tamaño para la imagen. Reserva de memoria para ella. *******************************************************************************/ SetSide(side_len); SetOffsetX(offset_x); SetOffsetY(offset_y); if (!(image = AllocatePNG(NUM_ROWS, NUM_COLS))) return ERROR; BuildTextPtr(info_text, alpha, beta, itermax, side_len, offset_x, offset_y); /******************************************************************************* +* Definición de la forma cuadrática. +* Parte fija: *******************************************************************************/ a1 = 1.0; a2 = 0.0; b1 = 1.0; b2 = -1.0; c2 = 0.0; /******************************************************************************* +* Definición de la forma cuadrática. +* Chequeo de condiciones sobre alpha y beta, y setting de zona. *******************************************************************************/ if (alpha == 0.0 || beta != 0.0) /* Alpha ha de ser diferente de cero */ return ERROR; /* y beta igual a cero. */ zona = ZONA_Gc; /******************************************************************************* +* Definición de la forma cuadrática. +* Parte variable en función de alpha: *******************************************************************************/ c1 = (4.0*alpha - 9.0)/alpha/12.0; /******************************************************************************* +* Cálculo del mínimo de A, según valores de b1, c1 y zonas. *******************************************************************************/ ComputeMinAGc(); minA = 1.; # if 0 if (zona == ZONA_Gc) { fprintf(stderr, "#ERROR: Zona no implementada.\n"); return ERROR; } else { fprintf(stderr, "#ERROR: Zona no implementada.\n"); return ERROR; } # endif /******************************************************************************* +* Computación y generación de la imagen. *******************************************************************************/ # if 0 IterComputation(image, itermax); # endif IterComputationEspecial(image, itermax, 50.0); status = WritePNG(img_name, image, info_text, NUM_TEXT); DeallocatePNG(image, NUM_ROWS, NUM_COLS); return status; } /******************************************************************************* +* GenFractal_00 +* Genera la imagen fractal para el punto origen (0,0) *******************************************************************************/ int GenFractal_00(char *img_name, double alpha, double beta, int itermax, double side_len, double offset_x, double offset_y) { png_colorpp image = NULL; png_text info_text[NUM_TEXT]; int status; /******************************************************************************* +* Parámetros de tamaño para la imagen. Reserva de memoria para ella. *******************************************************************************/ SetSide(side_len); SetOffsetX(offset_x); SetOffsetY(offset_y); if (!(image = AllocatePNG(NUM_ROWS, NUM_COLS))) return ERROR; BuildTextPtr(info_text, alpha, beta, itermax, side_len, offset_x, offset_y); /******************************************************************************* +* Definición de la forma cuadrática. *******************************************************************************/ a1 = 0.0; b1 = 1.0; c1 = 0.0; a2 = 1.0; b2 = 0.0; c2 = -1.0; /******************************************************************************* +* Chequeo de condiciones sobre alpha y beta. Setting de zona. *******************************************************************************/ if (alpha != 0.0 || beta != 0.0) /* Alfa y Beta han de ser cero. */ return ERROR; zona = ZONA_00; /******************************************************************************* +* Cálculo del mínimo de A, según valores de b1, c1 y zonas. *******************************************************************************/ minA = 1.; if (zona == ZONA_00) { minA = 1.; } else { fprintf(stderr, "#ERROR: Zona no implementada.\n"); return ERROR; } /******************************************************************************* +* Computación y generación de la imagen. *******************************************************************************/ IterComputation(image, itermax); status = WritePNG(img_name, image, info_text, NUM_TEXT); DeallocatePNG(image, NUM_ROWS, NUM_COLS); return status; } /******************************************************************************* +* GenFractalEspecial1 +* Genera la imagen para F^+_c cuando c = 0. *******************************************************************************/ int GenFractalEspecial1(char *img_name, double alpha, double beta, int itermax, double side_len, double offset_x, double offset_y) { png_colorpp image = NULL; png_text info_text[NUM_TEXT]; int status; /******************************************************************************* +* Parámetros de tamaño para la imagen. Reserva de memoria para ella. *******************************************************************************/ SetSide(side_len); SetOffsetX(offset_x); SetOffsetY(offset_y); if (!(image = AllocatePNG(NUM_ROWS, NUM_COLS))) return ERROR; BuildTextPtr(info_text, alpha, beta, itermax, side_len, offset_x, offset_y); /******************************************************************************* +* Definición de la forma cuadrática. *******************************************************************************/ a1 = 0.0; b1 = 1.0; c1 = 0.0; a2 = 1.0; b2 = 0.0; c2 = 0.0; IterComputationEspecial(image, itermax, 20.0); status = WritePNG(img_name, image, info_text, NUM_TEXT); DeallocatePNG(image, NUM_ROWS, NUM_COLS); return status; } /******************************************************************************* +* GenFractalEspecial2 +* Genera la imagen para F^-_c cuando c = 0. *******************************************************************************/ int GenFractalEspecial2(char *img_name, double alpha, double beta, int itermax, double side_len, double offset_x, double offset_y) { png_colorpp image = NULL; png_text info_text[NUM_TEXT]; int status; /******************************************************************************* +* Parámetros de tamaño para la imagen. Reserva de memoria para ella. *******************************************************************************/ SetSide(side_len); SetOffsetX(offset_x); SetOffsetY(offset_y); if (!(image = AllocatePNG(NUM_ROWS, NUM_COLS))) return ERROR; BuildTextPtr(info_text, alpha, beta, itermax, side_len, offset_x, offset_y); /******************************************************************************* +* Definición de la forma cuadrática. *******************************************************************************/ a1 = 0.0; b1 = -1.0; c1 = 0.0; a2 = 1.0; b2 = 0.0; c2 = 0.0; IterComputationEspecial(image, itermax, 20.0); status = WritePNG(img_name, image, info_text, NUM_TEXT); DeallocatePNG(image, NUM_ROWS, NUM_COLS); return status; } /******************************************************************************* +* GenFractalEspecial3 +* Genera la imagen para G^_c cuando c = 0. *******************************************************************************/ int GenFractalEspecial3(char *img_name, double alpha, double beta, int itermax, double side_len, double offset_x, double offset_y) { png_colorpp image = NULL; png_text info_text[NUM_TEXT]; int status; /******************************************************************************* +* Parámetros de tamaño para la imagen. Reserva de memoria para ella. *******************************************************************************/ SetSide(side_len); SetOffsetX(offset_x); SetOffsetY(offset_y); if (!(image = AllocatePNG(NUM_ROWS, NUM_COLS))) return ERROR; BuildTextPtr(info_text, alpha, beta, itermax, side_len, offset_x, offset_y); /******************************************************************************* +* Definición de la forma cuadrática. *******************************************************************************/ a1 = 1.0; b1 = 1.0; c1 = 0.0; a2 = 0.0; b2 = -1.0; c2 = 0.0; IterComputationEspecial(image, itermax, 20.0); status = WritePNG(img_name, image, info_text, NUM_TEXT); DeallocatePNG(image, NUM_ROWS, NUM_COLS); return status; } /******************************************************************************* +* GenFractalEspecial5 +* Genera el caso F^+_{00} *******************************************************************************/ int GenFractalEspecial5(char *img_name, double alpha, double beta, int itermax, double side_len, double offset_x, double offset_y) { png_colorpp image = NULL; png_text info_text[NUM_TEXT]; int status; /******************************************************************************* +* Parámetros de tamaño para la imagen. Reserva de memoria para ella. *******************************************************************************/ SetSide(side_len); SetOffsetX(offset_x); SetOffsetY(offset_y); if (!(image = AllocatePNG(NUM_ROWS, NUM_COLS))) return ERROR; BuildTextPtr(info_text, alpha, beta, itermax, side_len, offset_x, offset_y); /******************************************************************************* +* Definición de la forma cuadrática. *******************************************************************************/ a1 = 0.0; b1 = 0.0; c1 = 0.0; a2 = 1.0; b2 = 0.0; c2 = -1.0; IterComputationEspecial(image, itermax, 40.0); status = WritePNG(img_name, image, info_text, NUM_TEXT); DeallocatePNG(image, NUM_ROWS, NUM_COLS); return status; } /******************************************************************************* +* GenFractalEspecial6 +* Genera el caso F^-_{00} *******************************************************************************/ int GenFractalEspecial6(char *img_name, double alpha, double beta, int itermax, double side_len, double offset_x, double offset_y) { png_colorpp image = NULL; png_text info_text[NUM_TEXT]; int status; /******************************************************************************* +* Parámetros de tamaño para la imagen. Reserva de memoria para ella. *******************************************************************************/ SetSide(side_len); SetOffsetX(offset_x); SetOffsetY(offset_y); if (!(image = AllocatePNG(NUM_ROWS, NUM_COLS))) return ERROR; BuildTextPtr(info_text, alpha, beta, itermax, side_len, offset_x, offset_y); /******************************************************************************* +* Definición de la forma cuadrática. *******************************************************************************/ a1 = 0.0; b1 = 0.0; c1 = 0.0; a2 = 1.0; b2 = 0.0; c2 = 1.0; IterComputationEspecial(image, itermax, 40.0); status = WritePNG(img_name, image, info_text, NUM_TEXT); DeallocatePNG(image, NUM_ROWS, NUM_COLS); return status; } /******************************************************************************* +* GenFractalEspecial7 +* Genera el caso F^+_{bc} cuando $c=\pm 2b$ *******************************************************************************/ int GenFractalEspecial7(char *img_name, double alpha, double beta, int itermax, double side_len, double offset_x, double offset_y) { png_colorpp image = NULL; png_text info_text[NUM_TEXT]; int status; /******************************************************************************* +* Parámetros de tamaño para la imagen. Reserva de memoria para ella. *******************************************************************************/ SetSide(side_len); SetOffsetX(offset_x); SetOffsetY(offset_y); if (!(image = AllocatePNG(NUM_ROWS, NUM_COLS))) return ERROR; BuildTextPtr(info_text, alpha, beta, itermax, side_len, offset_x, offset_y); /******************************************************************************* +* Definición de la forma cuadrática. +* Parte fija: *******************************************************************************/ a1 = 0.0; a2 = 1.0; b2 = 0.0; c2 = -1.0; b1 = beta; c1 = 2*beta; /******************************************************************************* +* Computación y generación de la imagen. *******************************************************************************/ IterComputationEspecial(image, itermax, 40.0); status = WritePNG(img_name, image, info_text, NUM_TEXT); DeallocatePNG(image, NUM_ROWS, NUM_COLS); return status; }