ifs.cpp

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/* -*- Mode: C; tab-width: 4 -*- */
/* ifs --- modified iterated functions system */
 
//#if !defined( lint ) && !defined( SABER )
//static const char sccsid[] = "@(#)ifs.c       5.00 2002/04/11 baffe";
//#endif
 
/*-
 * Copyright (c) 1997 by Massimino Pascal <Pascal.Massimon@ens.fr>
 *
 * Permission to use, copy, modify, and distribute this software and its
 * documentation for any purpose and without fee is hereby granted,
 * provided that the above copyright notice appear in all copies and that
 * both that copyright notice and this permission notice appear in
 * supporting documentation.
 *
 * This file is provided AS IS with no warranties of any kind.  The author
 * shall have no liability with respect to the infringement of copyrights,
 * trade secrets or any patents by this file or any part thereof.  In no
 * event will the author be liable for any lost revenue or profits or
 * other special, indirect and consequential damages.
 *
 * If this mode is weird and you have an old MetroX server, it is buggy.
 * There is a free SuSE-enhanced MetroX X server that is fine.
 *
 * When shown ifs, Diana Rose (4 years old) said, "It looks like dancing."
 *
 * Revision History:
 * 11-Apr-2002: Make ifs.c system-indendant. (ifs.h added)
 * 01-Nov-2000: Allocation checks
 * 10-May-1997: jwz@jwz.org: turned into a standalone program.
 *              Made it render into an offscreen bitmap and then copy
 *              that onto the screen, to reduce flicker.
 */
 
//#ifdef STANDALONE
 
#include <array>
#include <cmath>
#include <cstdio>
#include <cstdlib>
 
#include "ifs.h"
#include "goom_core.h"
#include "goom_tools.h"
 
 
static inline long LRAND()      { return static_cast<long>( RAND() & 0x7fffffff); }
static inline int  NRAND(int n) { return static_cast<int>( LRAND() % n ); }
static constexpr double MAXRAND { 2147483648.0 }; /* unsigned 1<<31 as a * * * * float */
 
/*****************************************************/
 
using DBL = double;
using F_PT = float;
 
/*****************************************************/
 
static constexpr uint8_t  FIX      { 12     };
static constexpr uint16_t UNIT     { 1<<FIX };
static constexpr size_t   MAX_SIMI { 6      };
 
static constexpr int8_t   MAX_DEPTH_2  { 10 };
static constexpr int8_t   MAX_DEPTH_3  {  6 };
static constexpr int8_t   MAX_DEPTH_4  {  4 };
static constexpr int8_t   MAX_DEPTH_5  {  2 };
 
static inline F_PT DBL_To_F_PT(DBL x)
{ return static_cast<F_PT>( static_cast<DBL>(UNIT) * x ); };
 
using SIMI = struct Similitude_Struct;
using FRACTAL = struct Fractal_Struct;
 
struct Similitude_Struct
{
 
        DBL     m_dCx, m_dCy;
        DBL     m_dR, m_dR2, m_dA, m_dA2;
        F_PT    m_fCt, m_fSt, m_fCt2, m_fSt2;
        F_PT    m_fCx, m_fCy;
        F_PT    m_fR, m_fR2;
};
 
using SimiData = std::array<SIMI,5 * MAX_SIMI>;
 
struct Fractal_Struct
{
 
        size_t   m_nbSimi;
        SimiData m_components;
        int     m_depth, m_col;
        int     m_count, m_speed;
        int     m_width, m_height, m_lx, m_ly;
        DBL     m_rMean, m_drMean, m_dr2Mean;
        int     m_curPt, m_maxPt;
 
        IFSPoint *m_buffer1, *m_buffer2;
//      Pixmap      dbuf;
//      GC          dbuf_gc;
};
 
static FRACTAL *Root = (FRACTAL *) nullptr, *Cur_F;
 
/* Used by the Trace recursive method */
IFSPoint *Buf;
static int Cur_Pt;
 
/*****************************************************/
 
static  DBL
Gauss_Rand (DBL c, DBL A, DBL S)
{
        DBL y = (DBL) LRAND () / MAXRAND;
        y = A * (1.0 - exp (-y * y * S)) / (1.0 - exp (-S));
        if (NRAND (2))
                return (c + y);
        return (c - y);
}
 
static  DBL
Half_Gauss_Rand (DBL c, DBL A, DBL S)
{
        DBL y = (DBL) LRAND () / MAXRAND;
        y = A * (1.0 - exp (-y * y * S)) / (1.0 - exp (-S));
        return (c + y);
}
 
static void
Random_Simis (FRACTAL * F, SimiData &simi_set, int offset, int count)
{
        SIMI * Cur = &simi_set[offset];
        while (count--) {
                Cur->m_dCx = Gauss_Rand (0.0, .8, 4.0);
                Cur->m_dCy = Gauss_Rand (0.0, .8, 4.0);
                Cur->m_dR = Gauss_Rand (F->m_rMean, F->m_drMean, 3.0);
                Cur->m_dR2 = Half_Gauss_Rand (0.0, F->m_dr2Mean, 2.0);
                Cur->m_dA = Gauss_Rand (0.0, 360.0, 4.0) * (M_PI / 180.0);
                Cur->m_dA2 = Gauss_Rand (0.0, 360.0, 4.0) * (M_PI / 180.0);
                Cur++;
        }
}
 
static void
free_ifs_buffers (FRACTAL * Fractal)
{
        if (Fractal->m_buffer1 != nullptr) {
                free ((void *) Fractal->m_buffer1);
                Fractal->m_buffer1 = (IFSPoint *) nullptr;
        }
        if (Fractal->m_buffer2 != nullptr) {
                free ((void *) Fractal->m_buffer2);
                Fractal->m_buffer2 = (IFSPoint *) nullptr;
        }
}
 
 
static void
free_ifs (FRACTAL * Fractal)
{
        free_ifs_buffers (Fractal);
}
 
/***************************************************************/
 
void
init_ifs (int width, int height)
{
//      printf ("initing ifs\n");
 
        if (Root == nullptr) {
                Root = (FRACTAL *) malloc (sizeof (FRACTAL));
                if (Root == nullptr)
                        return;
                Root->m_buffer1 = (IFSPoint *) nullptr;
                Root->m_buffer2 = (IFSPoint *) nullptr;
        }
        FRACTAL *Fractal = Root;
 
//      fprintf (stderr,"--ifs freeing ex-buffers\n");
        free_ifs_buffers (Fractal);
//      fprintf (stderr,"--ifs ok\n");
 
        int i = (NRAND (4)) + 2;                                        /* Number of centers */
        switch (i) {
        case 3:
                Fractal->m_depth = MAX_DEPTH_3;
                Fractal->m_rMean = .6;
                Fractal->m_drMean = .4;
                Fractal->m_dr2Mean = .3;
                break;
 
        case 4:
                Fractal->m_depth = MAX_DEPTH_4;
                Fractal->m_rMean = .5;
                Fractal->m_drMean = .4;
                Fractal->m_dr2Mean = .3;
                break;
 
        case 5:
                Fractal->m_depth = MAX_DEPTH_5;
                Fractal->m_rMean = .5;
                Fractal->m_drMean = .4;
                Fractal->m_dr2Mean = .3;
                break;
 
        default:
        case 2:
                Fractal->m_depth = MAX_DEPTH_2;
                Fractal->m_rMean = .7;
                Fractal->m_drMean = .3;
                Fractal->m_dr2Mean = .4;
                break;
        }
//      fprintf( stderr, "N=%d\n", i );
        Fractal->m_nbSimi = i;
        Fractal->m_maxPt = Fractal->m_nbSimi - 1;
        for (i = 0; i <= Fractal->m_depth + 2; ++i)
                Fractal->m_maxPt *= Fractal->m_nbSimi;
 
        Fractal->m_buffer1 = (IFSPoint *) calloc (Fractal->m_maxPt, sizeof (IFSPoint));
        if (Fractal->m_buffer1 == nullptr) {
                free_ifs (Fractal);
                return;
        }
        Fractal->m_buffer2 = (IFSPoint *) calloc (Fractal->m_maxPt, sizeof (IFSPoint));
        if (Fractal->m_buffer2 == nullptr) {
                free_ifs (Fractal);
                return;
        }
 
//      printf ("--ifs setting params\n");
        Fractal->m_speed = 6;
        Fractal->m_width = width;                       /* modif by JeKo */
        Fractal->m_height = height;                     /* modif by JeKo */
        Fractal->m_curPt = 0;
        Fractal->m_count = 0;
        Fractal->m_lx = (Fractal->m_width - 1) / 2;
        Fractal->m_ly = (Fractal->m_height - 1) / 2;
        Fractal->m_col = goom_rand () % (width * height);       /* modif by JeKo */
 
        Random_Simis (Fractal, Fractal->m_components, 0, 5 * MAX_SIMI);
 
        /* 
         * #ifndef NO_DBUF
         * if (Fractal->dbuf != None)
         * XFreePixmap(display, Fractal->dbuf);
         * Fractal->dbuf = XCreatePixmap(display, window,
         * Fractal->m_width, Fractal->m_height, 1);
         * * Allocation checked *
         * if (Fractal->dbuf != None) {
         * XGCValues   gcv;
         * 
         * gcv.foreground = 0;
         * gcv.background = 0;
         * gcv.graphics_exposures = False;
         * gcv.function = GXcopy;
         * 
         * if (Fractal->dbuf_gc != None)
         * XFreeGC(display, Fractal->dbuf_gc);
         * if ((Fractal->dbuf_gc = XCreateGC(display, Fractal->dbuf,
         * GCForeground | GCBackground | GCGraphicsExposures | GCFunction,
         * &gcv)) == None) {
         * XFreePixmap(display, Fractal->dbuf);
         * Fractal->dbuf = None;
         * } else {
         * XFillRectangle(display, Fractal->dbuf,
         * Fractal->dbuf_gc, 0, 0, Fractal->m_width, Fractal->m_height);
         * XSetBackground(display, gc, MI_BLACK_PIXEL(mi));
         * XSetFunction(display, gc, GXcopy);
         * }
         * }
         * #endif
         */
        // MI_CLEARWINDOW(mi);
 
        /* don't want any exposure events from XCopyPlane */
        // XSetGraphicsExposures(display, gc, False);
 
}
 
 
/***************************************************************/
 
/* Should be taken care of already... but just in case */
#if !defined( __GNUC__ ) && !defined(__cplusplus) && !defined(c_plusplus)
#undef inline
#define inline                                                                  /* */
#endif
static inline void
Transform (SIMI * Simi, F_PT xo, F_PT yo, F_PT * x, F_PT * y)
{
        xo = xo - Simi->m_fCx;
        xo = (xo * Simi->m_fR) / UNIT;
        yo = yo - Simi->m_fCy;
        yo = (yo * Simi->m_fR) / UNIT;
 
        F_PT xx = xo - Simi->m_fCx;
        xx = (xx * Simi->m_fR2) / UNIT;
        F_PT yy = -yo - Simi->m_fCy;
        yy = (yy * Simi->m_fR2) / UNIT;
 
        *x =
                ((xo * Simi->m_fCt - yo * Simi->m_fSt + xx * Simi->m_fCt2 - yy * Simi->m_fSt2) / UNIT ) + Simi->m_fCx;
        *y =
                ((xo * Simi->m_fSt + yo * Simi->m_fCt + xx * Simi->m_fSt2 + yy * Simi->m_fCt2) / UNIT ) + Simi->m_fCy;
}
 
/***************************************************************/
 
static void
Trace (FRACTAL * F, F_PT xo, F_PT yo)
{
        F_PT    x = NAN;
        F_PT    y = NAN;
 
        SIMI *Cur = (Cur_F->m_components).data();
        for (int i = Cur_F->m_nbSimi; i != 0; --i, Cur++) {
                Transform (Cur, xo, yo, &x, &y);
 
                Buf->x = F->m_lx + ((x * F->m_lx) / (UNIT*2) );
                Buf->y = F->m_ly - ((y * F->m_ly) / (UNIT*2) );
                Buf++;
 
                Cur_Pt++;
 
                if (F->m_depth && (((x - xo) / 16) != 0.0F) && (((y - yo) / 16) != 0.0F)) {
                        F->m_depth--;
                        Trace (F, x, y);
                        F->m_depth++;
                }
        }
}
 
static void
Draw_Fractal ( void /* ModeInfo * mi */ )
{
        FRACTAL *F = Root;
        int     i = 0;
        SIMI   *Cur = nullptr;
        SIMI   *Simi = nullptr;
 
        for (Cur = (F->m_components).data(), i = F->m_nbSimi; i; --i, Cur++) {
                Cur->m_fCx = DBL_To_F_PT (Cur->m_dCx);
                Cur->m_fCy = DBL_To_F_PT (Cur->m_dCy);
 
                Cur->m_fCt = DBL_To_F_PT (cos (Cur->m_dA));
                Cur->m_fSt = DBL_To_F_PT (sin (Cur->m_dA));
                Cur->m_fCt2 = DBL_To_F_PT (cos (Cur->m_dA2));
                Cur->m_fSt2 = DBL_To_F_PT (sin (Cur->m_dA2));
 
                Cur->m_fR = DBL_To_F_PT (Cur->m_dR);
                Cur->m_fR2 = DBL_To_F_PT (Cur->m_dR2);
        }
 
 
        Cur_Pt = 0;
        Cur_F = F;
        Buf = F->m_buffer2;
        for (Cur = (F->m_components).data(), i = F->m_nbSimi; i; --i, Cur++) {
                F_PT xo = Cur->m_fCx;
                F_PT yo = Cur->m_fCy;
                int j = 0;
                for (Simi = (F->m_components).data(), j = F->m_nbSimi; j; --j, Simi++) {
                        F_PT x = NAN;
                        F_PT y = NAN;
                        if (Simi == Cur)
                                continue;
                        Transform (Simi, xo, yo, &x, &y);
                        Trace (F, x, y);
                }
        }
 
        /* Erase previous */
 
/*      if (F->m_curPt) {
                XSetForeground(display, gc, MI_BLACK_PIXEL(mi));
                if (F->dbuf != None) {
                        XSetForeground(display, F->dbuf_gc, 0);
*/
        /* XDrawPoints(display, F->dbuf, F->dbuf_gc, F->m_buffer1, F->m_curPt, * * * * 
         * CoordModeOrigin); */
/*                      XFillRectangle(display, F->dbuf, F->dbuf_gc, 0, 0,
                                       F->m_width, F->m_height);
                } else
                        XDrawPoints(display, window, gc, F->m_buffer1, F->m_curPt, CoordModeOrigin);
        }
        if (MI_NPIXELS(mi) < 2)
                XSetForeground(display, gc, MI_WHITE_PIXEL(mi));
        else
                XSetForeground(display, gc, MI_PIXEL(mi, F->Col % MI_NPIXELS(mi)));
        if (Cur_Pt) {
                if (F->dbuf != None) {
                        XSetForeground(display, F->dbuf_gc, 1);
                        XDrawPoints(display, F->dbuf, F->dbuf_gc, F->m_buffer2, Cur_Pt,
                                    CoordModeOrigin);
                } else
                        XDrawPoints(display, window, gc, F->m_buffer2, Cur_Pt, CoordModeOrigin);
        }
        if (F->dbuf != None)
                XCopyPlane(display, F->dbuf, window, gc, 0, 0, F->m_width, F->m_height, 0, 0, 1);
*/
 
        F->m_curPt = Cur_Pt;
        Buf = F->m_buffer1;
        F->m_buffer1 = F->m_buffer2;
        F->m_buffer2 = Buf;
}
 
 
IFSPoint *
draw_ifs ( /* ModeInfo * mi */ int *nbPoints)
{
        if (Root == nullptr)
                return nullptr;
        FRACTAL *F = Root; // [/*MI_SCREEN(mi)*/0];
        if (F->m_buffer1 == nullptr)
                return nullptr;
 
        DBL u = (DBL) (F->m_count) * (DBL) (F->m_speed) / 1000.0;
        DBL uu = u * u;
        DBL v = 1.0 - u;
        DBL vv = v * v;
        DBL u0 = vv * v;
        DBL u1 = 3.0 * vv * u;
        DBL u2 = 3.0 * v * uu;
        DBL u3 = u * uu;
 
        SIMI *S  = (F->m_components).data();
        SIMI *S1 = &F->m_components[1 * F->m_nbSimi];
        SIMI *S2 = &F->m_components[2 * F->m_nbSimi];
        SIMI *S3 = &F->m_components[3 * F->m_nbSimi];
        SIMI *S4 = &F->m_components[4 * F->m_nbSimi];
 
        for (int i = F->m_nbSimi; i; --i, S++, S1++, S2++, S3++, S4++) {
                S->m_dCx = u0 * S1->m_dCx + u1 * S2->m_dCx + u2 * S3->m_dCx + u3 * S4->m_dCx;
                S->m_dCy = u0 * S1->m_dCy + u1 * S2->m_dCy + u2 * S3->m_dCy + u3 * S4->m_dCy;
                S->m_dR  = u0 * S1->m_dR  + u1 * S2->m_dR  + u2 * S3->m_dR  + u3 * S4->m_dR;
                S->m_dR2 = u0 * S1->m_dR2 + u1 * S2->m_dR2 + u2 * S3->m_dR2 + u3 * S4->m_dR2;
                S->m_dA  = u0 * S1->m_dA  + u1 * S2->m_dA  + u2 * S3->m_dA  + u3 * S4->m_dA;
                S->m_dA2 = u0 * S1->m_dA2 + u1 * S2->m_dA2 + u2 * S3->m_dA2 + u3 * S4->m_dA2;
        }
 
        // MI_IS_DRAWN(mi) = True;
 
        Draw_Fractal ( /* mi */ );
 
        if (F->m_count >= 1000 / F->m_speed) {
                S  = (F->m_components).data();
                S1 = &F->m_components[1 * F->m_nbSimi];
                S2 = &F->m_components[2 * F->m_nbSimi];
                S3 = &F->m_components[3 * F->m_nbSimi];
                S4 = &F->m_components[4 * F->m_nbSimi];
 
                for (int i = F->m_nbSimi; i; --i, S++, S1++, S2++, S3++, S4++) {
                        S2->m_dCx = 2.0 * S4->m_dCx - S3->m_dCx;
                        S2->m_dCy = 2.0 * S4->m_dCy - S3->m_dCy;
                        S2->m_dR  = 2.0 * S4->m_dR  - S3->m_dR;
                        S2->m_dR2 = 2.0 * S4->m_dR2 - S3->m_dR2;
                        S2->m_dA  = 2.0 * S4->m_dA  - S3->m_dA;
                        S2->m_dA2 = 2.0 * S4->m_dA2 - S3->m_dA2;
 
                        *S1 = *S4;
                }
                Random_Simis (F, F->m_components, 3 * F->m_nbSimi, F->m_nbSimi);
 
                Random_Simis (F, F->m_components, 4 * F->m_nbSimi, F->m_nbSimi);
 
                F->m_count = 0;
        }
        else
                F->m_count++;
 
        F->m_col++;
 
        /* #1 code added by JeKo */
        (*nbPoints) = Cur_Pt;
        return F->m_buffer2;
        /* #1 end */
}
 
 
/***************************************************************/
 
void
release_ifs ()
{
        if (Root != nullptr) {
                free_ifs(Root);
                free ((void *) Root);
                Root = (FRACTAL *) nullptr;
        }
}