// Draw a graph extern "C"{ #include "fxlib.h" } #include #include #include #include #include "stdafx.h" #include "defs.h" #define DIMX 128 #define DIMY 64 #define F p3 #define T p4 #define X p5 #define Y p6 #define XT p7 #define YT p8 static double tmin, tmax; static double xmin, xmax; static double ymin, ymax; #define YMAX 1000 typedef struct { int x, y; double t; } DRAWBUF; DRAWBUF *draw_buf; static int draw_count; void eval_draw(void) { draw_buf=(DRAWBUF*)calloc(YMAX,sizeof(DRAWBUF)); F = cadr(p1); T = caddr(p1); if (T == symbol(NIL)) { push(F); rewrite(); guess(); T = pop(); F = pop(); } push(get_binding(T)); push(get_arglist(T)); draw_main(); p2 = pop(); p1 = pop(); set_binding_and_arglist(T, p1, p2); // return value push(symbol(NIL)); } void draw_main(void) { if (draw_flag) { draw_flag = 0; // so "stop" really stops stop("draw calls draw"); } draw_flag++; setup_trange(); setup_xrange(); setup_yrange(); check_for_parametric_draw(); create_point_set(); emit_graph(); draw_flag--; } /* xrange sets the horizontal scale yrange sets the vertical scale Normally, the function F is evaluated from xrange[1] to xrange[2]. However, if F returns a vector then parametric drawing is used. In this case F is evaluated from trange[1] to trange[2]. */ void check_for_parametric_draw(void) { eval_f(tmin); p1 = pop(); if (!istensor(p1)) { tmin = xmin; tmax = xmax; } } #define N 100 void create_point_set(void) { int i, n; double t; draw_count = 0; for (i = 0; i <= N; i++) { t = tmin + ((double) i / (double) N) * (tmax - tmin); new_point(t); } n = draw_count; for (i = 0; i < n - 1; i++) fill(i, i + 1, 0); } void new_point(double t) { double x, y; if (draw_count >= YMAX) return; draw_buf[draw_count].x = -10000; draw_buf[draw_count].y = -10000; draw_buf[draw_count].t = t; draw_count++; get_xy(t); if (!isnum(XT) || !isnum(YT)) return; push(XT); x = pop_double(); x = (x - xmin) / (xmax - xmin); x = (double) DIMX * x + 0.5; // map 0-1 to 0-DIM, +0.5 so draw(x^3) looks right push(YT); y = pop_double(); y = (y - ymin) / (ymax - ymin); y = (double) DIMY * y + 0.5; // map 0-1 to 0-DIM, +0.5 so draw(x^3) looks right if (x < -10000.0) x = -10000.0; if (x > 10000.0) x = 10000.0; if (y < -10000.0) y = -10000.0; if (y > 10000.0) y = 10000.0; draw_buf[draw_count - 1].x = (int) x; draw_buf[draw_count - 1].y = (int) y; } // Evaluate F(t) and return in XT and YT. void get_xy(double t) { eval_f(t); p1 = pop(); if (istensor(p1)) { if (p1->u.tensor->nelem >= 2) { XT = p1->u.tensor->elem[0]; YT = p1->u.tensor->elem[1]; } else { XT = symbol(NIL); YT = symbol(NIL); } return; } push_double(t); XT = pop(); YT = p1; } // Evaluate F(t) without stopping due to an error such as divide by zero. void eval_f(double t) { // These must be volatile or it crashes. (Compiler error?) // Read it backwards, save_tos is a volatile int, etc. int volatile save_tos; U ** volatile save_frame; save(); save_tos = tos; save_frame = frame; draw_flag++; if (setjmp(draw_stop_return)) { tos = save_tos; push(symbol(NIL)); frame = save_frame; restore(); draw_flag--; return; } push_double(t); p1 = pop(); set_binding(T, p1); push(F); eval(); yyfloat(); eval(); restore(); draw_flag--; } #define MAX_DEPTH 6 void fill(int i, int k, int level) { int dx, dy, j; double t; if (level >= MAX_DEPTH || draw_count >= YMAX) return; dx = abs(draw_buf[i].x - draw_buf[k].x); dy = abs(draw_buf[i].y - draw_buf[k].y); if (dx < 1 && dy < 1) return; t = (draw_buf[i].t + draw_buf[k].t) / 2.0; j = draw_count; new_point(t); fill(i, j, level + 1); fill(j, k, level + 1); } //----------------------------------------------------------------------------- // // Normalize x to [0,1] // // Example: xmin = -10, xmax = 10, xmax - xmin = 20 // // x x - xmin (x - xmin) / (xmax - xmin) // // -10 0 0.00 // // -5 5 0.25 // // 0 10 0.50 // // 5 15 0.75 // // 10 20 1.00 // //----------------------------------------------------------------------------- void setup_trange(void) { save(); setup_trange_f(); restore(); } void setup_trange_f(void) { // default range is (-pi, pi) tmin = -M_PI; tmax = M_PI; p1 = usr_symbol("trange"); if (!issymbol(p1)) return; p1 = get_binding(p1); // must be two element vector if (!istensor(p1) || p1->u.tensor->ndim != 1 || p1->u.tensor->nelem != 2) return; push(p1->u.tensor->elem[0]); eval(); yyfloat(); eval(); p2 = pop(); push(p1->u.tensor->elem[1]); eval(); yyfloat(); eval(); p3 = pop(); if (!isnum(p2) || !isnum(p3)) return; push(p2); tmin = pop_double(); push(p3); tmax = pop_double(); if (tmin == tmax) stop("draw: trange is zero"); } void setup_xrange(void) { save(); setup_xrange_f(); restore(); } void setup_xrange_f(void) { // default range is (-10,10) xmin = -10.0; xmax = 10.0; p1 = usr_symbol("xrange"); if (!issymbol(p1)) return; p1 = get_binding(p1); // must be two element vector if (!istensor(p1) || p1->u.tensor->ndim != 1 || p1->u.tensor->nelem != 2) return; push(p1->u.tensor->elem[0]); eval(); yyfloat(); eval(); p2 = pop(); push(p1->u.tensor->elem[1]); eval(); yyfloat(); eval(); p3 = pop(); if (!isnum(p2) || !isnum(p3)) return; push(p2); xmin = pop_double(); push(p3); xmax = pop_double(); if (xmin == xmax) stop("draw: xrange is zero"); } //----------------------------------------------------------------------------- // // Example: yrange=(-10,10) // // y d v (vertical pixel coordinate) // // 10 0.00 0 // // 5 0.25 100 // // 0 0.50 200 // // -5 0.75 300 // // -10 1.00 400 // // We have // // d = (10 - y) / 20 // // = (B - y) / (B - A) // // where yrange=(A,B) // // To convert d to v, multiply by N where N = 400. // //----------------------------------------------------------------------------- void setup_yrange(void) { save(); setup_yrange_f(); restore(); } void setup_yrange_f(void) { // default range is (-10,10) ymin = -10.0; ymax = 10.0; p1 = usr_symbol("yrange"); if (!issymbol(p1)) return; p1 = get_binding(p1); // must be two element vector if (!istensor(p1) || p1->u.tensor->ndim != 1 || p1->u.tensor->nelem != 2) return; push(p1->u.tensor->elem[0]); eval(); yyfloat(); eval(); p2 = pop(); push(p1->u.tensor->elem[1]); eval(); yyfloat(); eval(); p3 = pop(); if (!isnum(p2) || !isnum(p3)) return; push(p2); ymin = pop_double(); push(p3); ymax = pop_double(); if (ymin == ymax) stop("draw: yrange is zero"); } void get_xyminmax(double* xminp, double* xmaxp, double* yminp, double* ymaxp) { *xminp = xmin; *xmaxp = xmax; *yminp = ymin; *ymaxp = ymax; } #define XOFF 0 #define YOFF 24 static void emit_xaxis(void); static void emit_yaxis(void); static void emit_xscale(void); static void emit_yscale(void); static void get_xzero(void); static void get_yzero(void); static int xzero, yzero; void emit_graph(void) { int i, x, y; Bdisp_AllClr_VRAM(); get_xzero(); get_yzero(); emit_xaxis(); emit_yaxis(); emit_xscale(); emit_yscale(); for (i = 0; i < draw_count; i++) { x = draw_buf[i].x; y = DIMY - draw_buf[i].y; // flip the y coordinate if (x < 0 || x > DIMX) continue; if (y < 0 || y > DIMY) continue; Bdisp_SetPoint_VRAM(x+XOFF, y+YOFF, 1); } set_has_drawn(1); } static void emit_xaxis(void) { int x, y, x2, y2; if (yzero < 0 || yzero > DIMY) return; x = XOFF; y = YOFF + yzero; x2 = XOFF + DIMX; y2 = YOFF + yzero; Bdisp_DrawLineVRAM(x, y, x2, y2); } static void emit_yaxis(void) { int x, y, x2, y2; if (xzero < 0 || xzero > DIMX) return; x = XOFF + xzero; y = YOFF; x2 = XOFF + xzero; y2 = YOFF + DIMY; Bdisp_DrawLineVRAM(x, y, x2, y2); } static void get_xzero(void) { double x; x = -((double) DIMX) * xmin / (xmax - xmin) + 0.5; if (x < -10000.0) x = -10000.0; if (x > 10000.0) x = 10000.0; xzero = (int) x; } static void get_yzero(void) { double y; y = -((double) DIMY) * ymin / (ymax - ymin) + 0.5; if (y < -10000.0) y = -10000.0; if (y > 10000.0) y = 10000.0; yzero = DIMY - (int) y; // flip the y coordinate } static void emit_xscale_f(int, char *); static void emit_xscale(void) { static char s[100]; sprintf(s, "%g", xmin); emit_xscale_f(0, s); sprintf(s, "%g", xmax); emit_xscale_f(DIMX, s); } static void emit_xscale_f(int xx, char *s) { int w, x, y; y = 0; w = 0; PrintMini( w, y, (unsigned char*)s, 0); // get width x = XOFF + xx; if(x >= DIMX) x = x-w; y = YOFF + yzero - 24+2; PrintMini( x, y, (unsigned char*)s, 0); } static void emit_yscale_f(int, char *); static void emit_yscale(void) { static char s[100]; sprintf(s, "%g", ymax); emit_yscale_f(0, s); sprintf(s, "%g", ymin); emit_yscale_f(DIMY, s); } static void emit_yscale_f(int yy, char *s) { int w, x, y; y = 0; w = 0; PrintMini( w, y, (unsigned char*)s, 0); // get width x = xzero - w; y = YOFF + yy; if(y >= DIMY) y = y-9; y -= 24; PrintMini( x, y, (unsigned char*)s, 0); } /* #define XOFF 0 #define YOFF 0 #define SHIM 10 static int k; static unsigned char *buf; static void emit_box(void); static void emit_xaxis(void); static void emit_yaxis(void); static void emit_xscale(void); static void emit_yscale(void); static void emit_xzero(void); static void emit_yzero(void); static void get_xzero(void); static void get_yzero(void); static int xzero, yzero; void emit_graph(void) { int h, i, len, x, y; get_xzero(); get_yzero(); len = 1000 + 5 * draw_count; buf = (unsigned char *) malloc(len); h = DIM + SHIM + text_metric[SMALL_FONT].ascent + text_metric[SMALL_FONT].descent; //buf[0] = (unsigned char) (h >> 8); //buf[1] = (unsigned char) h; //buf[2] = (unsigned char) (DIM >> 8); //buf[3] = (unsigned char) DIM; k = 0; emit_box(); emit_xaxis(); emit_yaxis(); emit_xscale(); emit_yscale(); emit_xzero(); emit_yzero(); for (i = 0; i < draw_count; i++) { x = draw_buf[i].x; y = DIM - draw_buf[i].y; // flip the y coordinate if (x < 0 || x > DIM) continue; if (y < 0 || y > DIM) continue; x += XOFF; y += YOFF; buf[k++] = DRAW_POINT; buf[k++] = (unsigned char) (x >> 8); buf[k++] = (unsigned char) x; buf[k++] = (unsigned char) (y >> 8); buf[k++] = (unsigned char) y; } buf[k++] = 0; shipout(buf, DIM + 1, h); } static void get_xzero(void) { double x; x = -((double) DIM) * xmin / (xmax - xmin) + 0.5; if (x < -10000.0) x = -10000.0; if (x > 10000.0) x = 10000.0; xzero = (int) x; } static void get_yzero(void) { double y; y = -((double) DIM) * ymin / (ymax - ymin) + 0.5; if (y < -10000.0) y = -10000.0; if (y > 10000.0) y = 10000.0; yzero = DIM - (int) y; // flip the y coordinate } static void emit_box(void) { int x, y; buf[k++] = DRAW_BOX; x = XOFF; y = YOFF; buf[k++] = (unsigned char) (x >> 8); buf[k++] = (unsigned char) x; buf[k++] = (unsigned char) (y >> 8); buf[k++] = (unsigned char) y; x = XOFF + DIM; y = YOFF + DIM; buf[k++] = (unsigned char) (x >> 8); buf[k++] = (unsigned char) x; buf[k++] = (unsigned char) (y >> 8); buf[k++] = (unsigned char) y; } static void emit_xaxis(void) { int x, y; if (yzero < 0 || yzero > DIM) return; buf[k++] = DRAW_LINE; x = XOFF; y = YOFF + yzero; buf[k++] = (unsigned char) (x >> 8); buf[k++] = (unsigned char) x; buf[k++] = (unsigned char) (y >> 8); buf[k++] = (unsigned char) y; x = XOFF + DIM; y = YOFF + yzero; buf[k++] = (unsigned char) (x >> 8); buf[k++] = (unsigned char) x; buf[k++] = (unsigned char) (y >> 8); buf[k++] = (unsigned char) y; } static void emit_yaxis(void) { int x, y; if (xzero < 0 || xzero > DIM) return; buf[k++] = DRAW_LINE; x = XOFF + xzero; y = YOFF; buf[k++] = (unsigned char) (x >> 8); buf[k++] = (unsigned char) x; buf[k++] = (unsigned char) (y >> 8); buf[k++] = (unsigned char) y; x = XOFF + xzero; y = YOFF + DIM; buf[k++] = (unsigned char) (x >> 8); buf[k++] = (unsigned char) x; buf[k++] = (unsigned char) (y >> 8); buf[k++] = (unsigned char) y; } static void emit_xscale_f(int, char *); static void emit_xscale(void) { static char s[100]; sprintf(s, "%g", xmin); emit_xscale_f(0, s); sprintf(s, "%g", xmax); emit_xscale_f(DIM, s); } static void emit_xscale_f(int xx, char *s) { int d, i, len, w, x, y; // want to center the number w/o sign w = text_width(SMALL_FONT, s); if (*s == '-') d = w - text_width(SMALL_FONT, s + 1); else d = 0; x = XOFF + xx - (w - d) / 2 - d; y = YOFF + DIM + SHIM; buf[k++] = SMALL_FONT; buf[k++] = (unsigned char) (x >> 8); buf[k++] = (unsigned char) x; buf[k++] = (unsigned char) (y >> 8); buf[k++] = (unsigned char) y; len = (int) strlen(s); buf[k++] = (unsigned char) len; for (i = 0; i < len; i++) buf[k++] = (unsigned char) s[i]; } static void emit_yscale_f(int, char *); static void emit_yscale(void) { static char s[100]; sprintf(s, "%g", ymax); emit_yscale_f(0, s); sprintf(s, "%g", ymin); emit_yscale_f(DIM, s); } static void emit_yscale_f(int yy, char *s) { int i, len, w, x, y; w = text_width(SMALL_FONT, s); x = XOFF - SHIM - w; y = YOFF + yy - text_metric[SMALL_FONT].ascent / 2; buf[k++] = SMALL_FONT; buf[k++] = (unsigned char) (x >> 8); buf[k++] = (unsigned char) x; buf[k++] = (unsigned char) (y >> 8); buf[k++] = (unsigned char) y; len = (int) strlen(s); buf[k++] = (unsigned char) len; for (i = 0; i < len; i++) buf[k++] = (unsigned char) s[i]; } // emit the '0' axis label // make sure it doesn't hit the other labels static void emit_xzero(void) { int x, y; if (xzero < DIM / 4 || xzero > 3 * DIM / 4) return; x = XOFF + xzero - text_width(SMALL_FONT, "0") / 2; y = YOFF + DIM + SHIM; buf[k++] = SMALL_FONT; buf[k++] = (unsigned char) (x >> 8); buf[k++] = (unsigned char) x; buf[k++] = (unsigned char) (y >> 8); buf[k++] = (unsigned char) y; buf[k++] = 1; buf[k++] = '0'; } // emit the '0' axis label // make sure it doesn't hit the other labels static void emit_yzero(void) { int x, y; if (yzero < DIM / 4 || yzero > 3 * DIM / 4) return; x = XOFF - SHIM - text_width(SMALL_FONT, "0"); y = YOFF + yzero - text_metric[SMALL_FONT].ascent / 2; buf[k++] = SMALL_FONT; buf[k++] = (unsigned char) (x >> 8); buf[k++] = (unsigned char) x; buf[k++] = (unsigned char) (y >> 8); buf[k++] = (unsigned char) y; buf[k++] = 1; buf[k++] = '0'; } */