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+/* lmorph, Copyright (c) 1993-1999 Sverre H. Huseby and Glenn T. Lines
+ *
+ * Permission to use, copy, modify, distribute, and sell this software and its
+ * documentation for any purpose is hereby granted without fee, provided that
+ * the above copyright notice appear in all copies and that both that
+ * copyright notice and this permission notice appear in supporting
+ * documentation. No representations are made about the suitability of this
+ * software for any purpose. It is provided "as is" without express or
+ * implied warranty.
+ */
+
+/*------------------------------------------------------------------------
+ |
+ | FILE lmorph.c
+ | MODULE OF xscreensaver
+ |
+ | DESCRIPTION Smooth and non-linear morphing between 1D curves.
+ |
+ | WRITTEN BY Sverre H. Huseby Glenn T. Lines
+ | Kurvn. 30 Østgaardsgt. 5
+ | N-0495 Oslo N-0474 Oslo
+ | Norway Norway
+ |
+ | Phone: +47 901 63 579 Phone: +47 22 04 67 28
+ | E-mail: sverrehu@online.no E-mail: glennli@ifi.uio.no
+ | URL: http://home.sol.no/~sverrehu/
+ |
+ | The original idea, and the bilinear interpolation
+ | mathematics used, emerged in the head of the wise
+ | Glenn T. Lines.
+ |
+ | MODIFICATIONS october 1999 (shh)
+ | * Removed option to use integer arithmetic.
+ | * Increased default number of points, and brightened
+ | the foreground color a little bit.
+ | * Minor code cleanup (very minor, that is).
+ | * Default number of steps is no longer random.
+ | * Added -linewidth option (and resource).
+ |
+ | october 1999 (gtl)
+ | * Added cubic interpolation between shapes
+ | * Added non-linear transformation speed
+ |
+ | june 1998 (shh)
+ | * Minor code cleanup.
+ |
+ | january 1997 (shh)
+ | * Some code reformatting.
+ | * Added possibility to use float arithmetic.
+ | * Added -figtype option.
+ | * Made color blue default.
+ |
+ | december 1995 (jwz)
+ | * Function headers converted from ANSI to K&R.
+ | * Added posibility for random number of steps, and
+ | made this the default.
+ |
+ | march 1995 (shh)
+ | * Converted from an MS-Windows program to X Window.
+ |
+ | november 1993 (gtl, shh, lots of beer)
+ | * Original Windows version (we didn't know better).
+ +----------------------------------------------------------------------*/
+
+#include <math.h>
+#include "screenhack.h"
+
+/*-----------------------------------------------------------------------+
+| PRIVATE DATA |
++-----------------------------------------------------------------------*/
+
+/* define MARGINS to make some space around the figure. */
+#define MARGINS
+
+#define MAXFIGS 20
+#define TWO_PI (2.0 * M_PI)
+#define RND(x) (random() % (x))
+
+#define FT_OPEN 1
+#define FT_CLOSED 2
+#define FT_ALL (FT_OPEN | FT_CLOSED)
+
+struct state {
+ Display *dpy;
+ Window window;
+
+ int numFigs; /* number of figure arrays. */
+ int numPoints; /* number of points in each array. */
+ int nWork; /* current work array number. */
+ int nFrom; /* current from array number. */
+ int nTo; /* current to array number. */
+ int nNext; /* current next array number (after to).*/
+ int shift; /* shifts the starting point of a figure */
+ int figType;
+
+ long delay; /* usecs to wait between updates. */
+
+ XPoint *aWork[2]; /* working arrays. */
+ XPoint *a[MAXFIGS]; /* the figure arrays. */
+ XPoint *aTmp; /* used as source when interrupting morph */
+ XPoint *aPrev; /* previous points displayed. */
+ XPoint *aCurr; /* the current points displayed. */
+ XPoint *aFrom; /* figure converting from. */
+ XPoint *aTo; /* figure converting to. */
+ XPoint *aNext; /* figure converting to next time. */
+ XPoint *aSlopeFrom; /* slope at start of morph */
+ XPoint *aSlopeTo; /* slope at end of morph */
+
+ int scrWidth, scrHeight;
+ double currGamma, maxGamma, deltaGamma;
+ GC gcDraw, gcClear;
+};
+
+
+/*-----------------------------------------------------------------------+
+| PUBLIC DATA |
++-----------------------------------------------------------------------*/
+
+static const char *lmorph_defaults [] = {
+ ".background: black",
+ ".foreground: #4444FF",
+ "*points: 200",
+ "*steps: 150",
+ "*delay: 70000",
+ "*figtype: all",
+ "*linewidth: 5",
+ 0
+};
+
+static XrmOptionDescRec lmorph_options [] = {
+ { "-points", ".points", XrmoptionSepArg, 0 },
+ { "-steps", ".steps", XrmoptionSepArg, 0 },
+ { "-delay", ".delay", XrmoptionSepArg, 0 },
+ { "-figtype", ".figtype", XrmoptionSepArg, 0 },
+ { "-linewidth", ".linewidth", XrmoptionSepArg, 0 },
+ { 0, 0, 0, 0 }
+};
+
+/*-----------------------------------------------------------------------+
+| PRIVATE FUNCTIONS |
++-----------------------------------------------------------------------*/
+
+static void *
+xmalloc(size_t size)
+{
+ void *ret;
+
+ if ((ret = malloc(size)) == NULL) {
+ fprintf(stderr, "lmorph: out of memory\n");
+ exit(1);
+ }
+ return ret;
+}
+
+static void
+initPointArrays(struct state *st)
+{
+ int q, w;
+ int mx, my; /* max screen coordinates. */
+ int mp; /* max point number. */
+ int s, rx, ry;
+ int marginx, marginy;
+ double scalex, scaley;
+
+ mx = st->scrWidth - 1;
+ my = st->scrHeight - 1;
+ mp = st->numPoints - 1;
+
+ st->aWork[0] = (XPoint *) xmalloc(st->numPoints * sizeof(XPoint));
+ st->aWork[1] = (XPoint *) xmalloc(st->numPoints * sizeof(XPoint));
+ st->aTmp = (XPoint *) xmalloc(st->numPoints * sizeof(XPoint));
+
+ if (st->figType & FT_CLOSED) {
+ /* rectangle */
+ st->a[st->numFigs] = (XPoint *) xmalloc(st->numPoints * sizeof(XPoint));
+ s = st->numPoints / 4;
+ for (q = 0; q < s; q++) {
+ st->a[st->numFigs][q].x = ((double) q / s) * mx;
+ st->a[st->numFigs][q].y = 0;
+ st->a[st->numFigs][s + q].x = mx;
+ st->a[st->numFigs][s + q].y = ((double) q / s) * my;
+ st->a[st->numFigs][2 * s + q].x = mx - ((double) q / s) * mx;
+ st->a[st->numFigs][2 * s + q].y = my;
+ st->a[st->numFigs][3 * s + q].x = 0;
+ st->a[st->numFigs][3 * s + q].y = my - ((double) q / s) * my;
+ }
+ for (q = 4 * s; q < st->numPoints; q++)
+ st->a[st->numFigs][q].x = st->a[st->numFigs][q].y = 0;
+ st->a[st->numFigs][mp].x = st->a[st->numFigs][0].x;
+ st->a[st->numFigs][mp].y = st->a[st->numFigs][0].y;
+ ++st->numFigs;
+
+ /* */
+ st->a[st->numFigs] = (XPoint *) xmalloc(st->numPoints * sizeof(XPoint));
+ rx = mx / 2;
+ ry = my / 2;
+ for (q = 0; q < st->numPoints; q++) {
+ st->a[st->numFigs][q].x = mx / 2 + rx * sin(1 * TWO_PI * (double) q / mp);
+ st->a[st->numFigs][q].y = my / 2 + ry * cos(3 * TWO_PI * (double) q / mp);
+ }
+ st->a[st->numFigs][mp].x = st->a[st->numFigs][0].x;
+ st->a[st->numFigs][mp].y = st->a[st->numFigs][0].y;
+ ++st->numFigs;
+
+ /* */
+ st->a[st->numFigs] = (XPoint *) xmalloc(st->numPoints * sizeof(XPoint));
+ rx = mx / 2;
+ ry = my / 2;
+ for (q = 0; q < st->numPoints; q++) {
+ st->a[st->numFigs][q].x = mx / 2 + ry * sin(3 * TWO_PI * (double) q / mp);
+ st->a[st->numFigs][q].y = my / 2 + ry * cos(1 * TWO_PI * (double) q / mp);
+ }
+ st->a[st->numFigs][mp].x = st->a[st->numFigs][0].x;
+ st->a[st->numFigs][mp].y = st->a[st->numFigs][0].y;
+ ++st->numFigs;
+
+ /* */
+ st->a[st->numFigs] = (XPoint *) xmalloc(st->numPoints * sizeof(XPoint));
+ rx = mx / 2;
+ ry = my / 2;
+ for (q = 0; q < st->numPoints; q++) {
+ st->a[st->numFigs][q].x = mx / 2 + ry
+ * (0.8 - 0.2 * sin(30 * TWO_PI * q / mp))
+ * sin(TWO_PI * (double) q / mp);
+ st->a[st->numFigs][q].y = my / 2 + ry
+ * (0.8 - 0.2 * sin(30 * TWO_PI * q / mp))
+ * cos(TWO_PI * (double) q / mp);
+ }
+ st->a[st->numFigs][mp].x = st->a[st->numFigs][0].x;
+ st->a[st->numFigs][mp].y = st->a[st->numFigs][0].y;
+ ++st->numFigs;
+
+
+ /* */
+ st->a[st->numFigs] = (XPoint *) xmalloc(st->numPoints * sizeof(XPoint));
+ rx = mx / 2;
+ ry = my / 2;
+ for (q = 0; q < st->numPoints; q++) {
+ st->a[st->numFigs][q].x = mx / 2 + ry * sin(TWO_PI * (double) q / mp);
+ st->a[st->numFigs][q].y = my / 2 + ry * cos(TWO_PI * (double) q / mp);
+ }
+ st->a[st->numFigs][mp].x = st->a[st->numFigs][0].x;
+ st->a[st->numFigs][mp].y = st->a[st->numFigs][0].y;
+ ++st->numFigs;
+
+
+ /* */
+ st->a[st->numFigs] = (XPoint *) xmalloc(st->numPoints * sizeof(XPoint));
+ rx = mx / 2;
+ ry = my / 2;
+ for (q = 0; q < st->numPoints; q++) {
+ st->a[st->numFigs][q].x = mx / 2 + rx * cos(TWO_PI * (double) q / mp);
+ st->a[st->numFigs][q].y = my / 2 + ry * sin(TWO_PI * (double) q / mp);
+ }
+ st->a[st->numFigs][mp].x = st->a[st->numFigs][0].x;
+ st->a[st->numFigs][mp].y = st->a[st->numFigs][0].y;
+ ++st->numFigs;
+
+ /* */
+ st->a[st->numFigs] = (XPoint *) xmalloc(st->numPoints * sizeof(XPoint));
+ rx = mx / 2;
+ ry = my / 2;
+ for (q = 0; q < st->numPoints; q++) {
+ st->a[st->numFigs][q].x = mx / 2 + rx * sin(2 * TWO_PI * (double) q / mp);
+ st->a[st->numFigs][q].y = my / 2 + ry * cos(3 * TWO_PI * (double) q / mp);
+ }
+ st->a[st->numFigs][mp].x = st->a[st->numFigs][0].x;
+ st->a[st->numFigs][mp].y = st->a[st->numFigs][0].y;
+ ++st->numFigs;
+ }
+
+ if (st->figType & FT_OPEN) {
+ /* sine wave, one period */
+ st->a[st->numFigs] = (XPoint *) xmalloc(st->numPoints * sizeof(XPoint));
+ for (q = 0; q < st->numPoints; q++) {
+ st->a[st->numFigs][q].x = ((double) q / st->numPoints) * mx;
+ st->a[st->numFigs][q].y = (1.0 - sin(((double) q / mp) * TWO_PI))
+ * my / 2.0;
+ }
+ ++st->numFigs;
+
+ /* */
+ st->a[st->numFigs] = (XPoint *) xmalloc(st->numPoints * sizeof(XPoint));
+ for (q = 0; q < st->numPoints; q++) {
+ st->a[st->numFigs][q].x = ((double) q / mp) * mx;
+ st->a[st->numFigs][q].y = (1.0 - cos(((double) q / mp) * 3 * TWO_PI))
+ * my / 2.0;
+ }
+ ++st->numFigs;
+
+ /* spiral, one endpoint at bottom */
+ st->a[st->numFigs] = (XPoint *) xmalloc(st->numPoints * sizeof(XPoint));
+ rx = mx / 2;
+ ry = my / 2;
+ for (q = 0; q < st->numPoints; q++) {
+ st->a[st->numFigs][q].x = mx / 2 + ry * sin(5 * TWO_PI * (double) q / mp)
+ * ((double) q / mp);
+ st->a[st->numFigs][q].y = my / 2 + ry * cos(5 * TWO_PI * (double) q / mp)
+ * ((double) q / mp);
+ }
+ ++st->numFigs;
+
+ /* spiral, one endpoint at top */
+ st->a[st->numFigs] = (XPoint *) xmalloc(st->numPoints * sizeof(XPoint));
+ rx = mx / 2;
+ ry = my / 2;
+ for (q = 0; q < st->numPoints; q++) {
+ st->a[st->numFigs][q].x = mx / 2 + ry * sin(6 * TWO_PI * (double) q / mp)
+ * ((double) q / mp);
+ st->a[st->numFigs][q].y = my / 2 - ry * cos(6 * TWO_PI * (double) q / mp)
+ * ((double) q / mp);
+ }
+ ++st->numFigs;
+
+ /* */
+ st->a[st->numFigs] = (XPoint *) xmalloc(st->numPoints * sizeof(XPoint));
+ for (q = 0; q < st->numPoints; q++) {
+ st->a[st->numFigs][q].x = ((double) q / mp) * mx;
+ st->a[st->numFigs][q].y = (1.0 - sin(((double) q / mp) * 5 * TWO_PI))
+ * my / 2.0;
+ }
+ ++st->numFigs;
+ }
+
+#ifdef MARGINS
+ /* make some space around the figures. */
+ marginx = (mx + 1) / 10;
+ marginy = (my + 1) / 10;
+ scalex = (double) ((mx + 1) - 2.0 * marginx) / (mx + 1.0);
+ scaley = (double) ((my + 1) - 2.0 * marginy) / (my + 1.0);
+ for (q = 0; q < st->numFigs; q++)
+ for (w = 0; w < st->numPoints; w++) {
+ st->a[q][w].x = marginx + st->a[q][w].x * scalex;
+ st->a[q][w].y = marginy + st->a[q][w].y * scaley;
+ }
+#endif
+}
+
+static void
+initLMorph(struct state *st)
+{
+ int steps;
+ XGCValues gcv;
+ XWindowAttributes wa;
+ Colormap cmap;
+ char *ft;
+ int i;
+
+ st->maxGamma = 1.0;
+ st->numPoints = get_integer_resource(st->dpy, "points", "Integer");
+ steps = get_integer_resource(st->dpy, "steps", "Integer");
+ st->delay = get_integer_resource(st->dpy, "delay", "Integer");
+ ft = get_string_resource(st->dpy, "figtype", "String");
+
+ if (strcmp(ft, "all") == 0)
+ st->figType = FT_ALL;
+ else if (strcmp(ft, "open") == 0)
+ st->figType = FT_OPEN;
+ else if (strcmp(ft, "closed") == 0)
+ st->figType = FT_CLOSED;
+ else {
+ fprintf(stderr, "figtype should be `all', `open' or `closed'.\n");
+ st->figType = FT_ALL;
+ }
+
+ if (steps <= 0)
+ steps = (random() % 400) + 100;
+
+ st->deltaGamma = 1.0 / steps;
+ XGetWindowAttributes(st->dpy, st->window, &wa);
+ st->scrWidth = wa.width;
+ st->scrHeight = wa.height;
+ cmap = wa.colormap;
+ gcv.foreground = get_pixel_resource(st->dpy, cmap, "foreground", "Foreground");
+ st->gcDraw = XCreateGC(st->dpy, st->window, GCForeground, &gcv);
+ XSetForeground(st->dpy, st->gcDraw, gcv.foreground);
+ gcv.foreground = get_pixel_resource(st->dpy, cmap, "background", "Background");
+ st->gcClear = XCreateGC(st->dpy, st->window, GCForeground, &gcv);
+ XClearWindow(st->dpy, st->window);
+
+ initPointArrays(st);
+ st->aCurr = st->aWork[st->nWork = 0];
+ st->aPrev = NULL;
+ st->currGamma = st->maxGamma + 1.0; /* force creation of new figure at startup */
+ st->nTo = RND(st->numFigs);
+ do {
+ st->nNext = RND(st->numFigs);
+ } while (st->nNext == st->nTo);
+
+ st->aSlopeTo = (XPoint *) xmalloc(st->numPoints * sizeof(XPoint));
+ st->aSlopeFrom = (XPoint *) xmalloc(st->numPoints * sizeof(XPoint));
+ st->aNext = (XPoint *) xmalloc(st->numPoints * sizeof(XPoint));
+
+ for (i = 0; i < st->numPoints ; i++) {
+ st->aSlopeTo[i].x = 0.0;
+ st->aSlopeTo[i].y = 0.0;
+ }
+
+ { /* jwz for version 2.11 */
+ /* int width = random() % 10;*/
+ int width = get_integer_resource(st->dpy, "linewidth", "Integer");
+ int style = LineSolid;
+ int cap = (width > 1 ? CapRound : CapButt);
+ int join = (width > 1 ? JoinRound : JoinBevel);
+ if (width == 1)
+ width = 0;
+ XSetLineAttributes(st->dpy, st->gcDraw, width, style, cap, join);
+ XSetLineAttributes(st->dpy, st->gcClear, width, style, cap, join);
+ }
+}
+
+/* 55% of execution time */
+static void
+createPoints(struct state *st)
+{
+ int q;
+ XPoint *pa = st->aCurr, *pa1 = st->aFrom, *pa2 = st->aTo;
+ XPoint *qa1 = st->aSlopeFrom, *qa2 = st->aSlopeTo;
+ float fg, f1g;
+ float speed;
+
+ fg = st->currGamma;
+ f1g = 1.0 - st->currGamma;
+ for (q = st->numPoints; q; q--) {
+ speed = 0.45 * sin(TWO_PI * (double) (q + st->shift) / (st->numPoints - 1));
+ fg = st->currGamma + 1.67 * speed
+ * exp(-200.0 * (st->currGamma - 0.5 + 0.7 * speed)
+ * (st->currGamma - 0.5 + 0.7 * speed));
+
+ f1g = 1.0 - fg;
+ pa->x = (short) (f1g * f1g * f1g * pa1->x + f1g * f1g * fg
+ * (3 * pa1->x + qa1->x) + f1g * fg * fg
+ * (3 * pa2->x - qa2->x) + fg * fg * fg * pa2->x);
+ pa->y = (short) (f1g * f1g * f1g * pa1->y + f1g * f1g * fg
+ * (3 * pa1->y + qa1->y) + f1g * fg * fg
+ * (3 * pa2->y - qa2->y) + fg * fg * fg * pa2->y);
+
+ ++pa;
+ ++pa1;
+ ++pa2;
+ ++qa1;
+ ++qa2;
+ }
+}
+
+/* 36% of execution time */
+static void
+drawImage(struct state *st)
+{
+#if 0
+ int q;
+ XPoint *old0, *old1, *new0, *new1;
+
+ /* Problem: update the window without too much flickering. I do
+ * this by handling each linesegment separately. First remove a
+ * line, then draw the new line. The problem is that this leaves
+ * small black pixels on the figure. To fix this, we draw the
+ * entire figure using XDrawLines() afterwards. */
+ if (st->aPrev) {
+ old0 = st->aPrev;
+ old1 = st->aPrev + 1;
+ new0 = st->aCurr;
+ new1 = st->aCurr + 1;
+ for (q = st->numPoints - 1; q; q--) {
+ XDrawLine(st->dpy, st->window, st->gcClear,
+ old0->x, old0->y, old1->x, old1->y);
+ XDrawLine(st->dpy, st->window, st->gcDraw,
+ new0->x, new0->y, new1->x, new1->y);
+ ++old0;
+ ++old1;
+ ++new0;
+ ++new1;
+ }
+ }
+#else
+ XClearWindow(st->dpy,st->window);
+#endif
+ XDrawLines(st->dpy, st->window, st->gcDraw, st->aCurr, st->numPoints, CoordModeOrigin);
+}
+
+/* neglectible % of execution time */
+static void
+animateLMorph(struct state *st)
+{
+ int i;
+ if (st->currGamma > st->maxGamma) {
+ st->currGamma = 0.0;
+ st->nFrom = st->nTo;
+ st->nTo = st->nNext;
+ st->aFrom = st->a[st->nFrom];
+ st->aTo = st->a[st->nTo];
+ do {
+ st->nNext = RND(st->numFigs);
+ } while (st->nNext == st->nTo);
+ st->aNext = st->a[st->nNext];
+
+ st->shift = RND(st->numPoints);
+ if (RND(2)) {
+ /* reverse the array to get more variation. */
+ int i1, i2;
+ XPoint p;
+
+ for (i1 = 0, i2 = st->numPoints - 1; i1 < st->numPoints / 2; i1++, i2--) {
+ p = st->aNext[i1];
+ st->aNext[i1] = st->aNext[i2];
+ st->aNext[i2] = p;
+ }
+ }
+
+ /* calculate the slopes */
+ for (i = 0; i < st->numPoints ; i++) {
+ st->aSlopeFrom[i].x = st->aSlopeTo[i].x;
+ st->aSlopeFrom[i].y = st->aSlopeTo[i].y;
+ st->aSlopeTo[i].x = st->aNext[i].x - st->aTo[i].x;
+ st->aSlopeTo[i].y = (st->aNext[i].y - st->aTo[i].y);
+ }
+ }
+
+ createPoints(st);
+ drawImage(st);
+ st->aPrev = st->aCurr;
+ st->aCurr = st->aWork[st->nWork ^= 1];
+
+ st->currGamma += st->deltaGamma;
+}
+
+/*-----------------------------------------------------------------------+
+| PUBLIC FUNCTIONS |
++-----------------------------------------------------------------------*/
+
+static void *
+lmorph_init (Display *d, Window w)
+{
+ struct state *st = (struct state *) calloc (1, sizeof(*st));
+ st->dpy = d;
+ st->window = w;
+ initLMorph(st);
+ return st;
+}
+
+static unsigned long
+lmorph_draw (Display *dpy, Window window, void *closure)
+{
+ struct state *st = (struct state *) closure;
+ animateLMorph(st);
+ return st->delay;
+}
+
+static void
+lmorph_reshape (Display *dpy, Window window, void *closure,
+ unsigned int w, unsigned int h)
+{
+}
+
+static Bool
+lmorph_event (Display *dpy, Window window, void *closure, XEvent *event)
+{
+ return False;
+}
+
+static void
+lmorph_free (Display *dpy, Window window, void *closure)
+{
+ struct state *st = (struct state *) closure;
+ free (st);
+}
+
+XSCREENSAVER_MODULE ("LMorph", lmorph)