From 1e8f7c57e9b2091b32840a2790fc36d4ec014ae2 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Dominik=20Madar=C3=A1sz?= Date: Thu, 2 Nov 2023 18:22:55 +0100 Subject: [PATCH] add splines demo --- demos/99-splines.c | 242 ++++++++++++++++++++++++++++++++++++ tools/steamcmd/steamcmd.exe | Bin 4215144 -> 4215656 bytes 2 files changed, 242 insertions(+) create mode 100644 demos/99-splines.c diff --git a/demos/99-splines.c b/demos/99-splines.c new file mode 100644 index 0000000..bb2c66c --- /dev/null +++ b/demos/99-splines.c @@ -0,0 +1,242 @@ +// @readme: https://gamedev.stackexchange.com/questions/14985/determine-arc-length-of-a-catmull-rom-spline-to-move-at-a-constant-speed/14995#14995 + +#include "v4k.h" + +// [ref] https://en.wikipedia.org/wiki/Centripetal_Catmull%E2%80%93Rom_spline + +vec3 catmull( vec3 p0, vec3 p1, vec3 p2, vec3 p3, float t ) { + float t2 = t*t; + float t3 = t*t*t; + + vec3 c; + c.x = 0.5 * ((2 * p1.x) + (-p0.x + p2.x) * t + (2 * p0.x - 5 * p1.x + 4 * p2.x - p3.x) * t2 + (-p0.x + 3 * p1.x - 3 * p2.x + p3.x) * t3); + c.y = 0.5 * ((2 * p1.y) + (-p0.y + p2.y) * t + (2 * p0.y - 5 * p1.y + 4 * p2.y - p3.y) * t2 + (-p0.y + 3 * p1.y - 3 * p2.y + p3.y) * t3); + c.z = 0.5 * ((2 * p1.z) + (-p0.z + p2.z) * t + (2 * p0.z - 5 * p1.z + 4 * p2.z - p3.z) * t2 + (-p0.z + 3 * p1.z - 3 * p2.z + p3.z) * t3); + return c; +} + +// [ref] https://gamedevnotesblog.wordpress.com/2017/09/08/constant-time-algorithm-for-parametric-curves/ +// - rlyeh, public domain. based on pseudo-code by Matrefeytontias + +typedef struct curve { + array(float) lengths; + array(unsigned) colors; + array(vec3) samples; + array(vec3) points; + array(int) indices; +} curve; + + void curve_add(curve *c, vec3 pt) { + // @fixme: do not add dupes into list + array_push(c->points, pt); + } + + void curve_finish(curve *c, int k ) { + assert( k > 0 ); + + c->lengths = 0; + c->samples = 0; + c->indices = 0; + c->colors = 0; + + // refit points[N] to samples[K] + int N = array_count(c->points); + for( int i = 0; i < N; ++i) { + printf("P%d) ", i); print3(c->points[i]); puts(""); + } + if( k < N ) { + + // truncate: expected k-points lesser or equal than existing N points + for( int i = 0; i <= k; ++i ) { + float s = (float)i / k; + int t = s * (N-1); + array_push(c->samples, c->points[t]); + + float p = fmod(i, N-1) / (N-1); // [0..1) + int is_control_point = p <= 0 || p >= 1; + array_push(c->colors, is_control_point ? ORANGE: BLUE); + } + + } else { + // interpolate: expected k-points greater than existing N-points +// +--N; +printf("k%d, N%d\n", k, N); +int upper = N - (k%N); +int lower = (k%N); +if(upper < lower) +k += upper; +else +k -= lower; +printf("k%d, N%d\n", k, N); +//k -= 2; // begin/end points do not compute below + +//array_push(c->samples, c->points[0]); +int points_per_segment = (k / N); +++N; + +int looped = len3sq(sub3(c->points[0], *array_back(c->points))) < 0.1; + + for( int i = 0; i <= k; ++i ) { +#if 1 + int point = i % points_per_segment; + float p = point / (float)points_per_segment; // [0..1) +#else + float p = fmod(i, N) / N; // [0..1) +#endif + int t = i / points_per_segment; + + // linear + vec3 l = mix3(c->points[t], c->points[t+(i!=k)], p); + + // printf("%d) %d>%d %f\n", i, t, t+(i!=k), p); + ASSERT(p <= 1); + +#if 1 + // catmull + int p0 = t - 1; + int p1 = t + 0; + int p2 = t + 1; + int p3 = t + 2; + if( looped ) + { + int M = N-1; + if(p0<0) p0+=M; else if(p0>=M) p0-=M; + if(p1<0) p1+=M; else if(p1>=M) p1-=M; + if(p2<0) p2+=M; else if(p2>=M) p2-=M; + if(p3<0) p3+=M; else if(p3>=M) p3-=M; + } + else + { + int M = N-1; + if(p0<0) p0=0; else if(p0>=M) p0=M; + if(p1<0) p1=0; else if(p1>=M) p1=M; + if(p2<0) p2=0; else if(p2>=M) p2=M; + if(p3<0) p3=0; else if(p3>=M) p3=M; + } + vec3 m = catmull(c->points[p0],c->points[p1],c->points[p2],c->points[p3],p); + l = m; +#endif + + array_push(c->samples, l); + + int is_control_point = p <= 0 || p >= 1; + array_push(c->colors, is_control_point ? ORANGE: BLUE); + } +//array_push(c->samples, *array_back(c->points)); + } + + array_push(c->lengths, 0 ); + for( int i = 1; i <= k; ++i ) { + // approximate curve length at every sample point + array_push(c->lengths, len3(sub3(c->samples[i], c->samples[i-1])) + c->lengths[i-1] ); + } + // normalize lengths to be between 0 and 1 + float maxv = c->lengths[k]; + for( int i = 1; i <= k; ++i ) c->lengths[i] /= maxv; + +#if 0 + for( int i = 0; i <= k; ++i) { + printf("L%d)%f,", i, c->lengths[i]); + } puts(""); +#endif + + array_push(c->indices, 0 ); + for( int i = 0/*1*/; i lengths[j] <= s && s < c->lengths[j+1] ) { + break; + } + } +#else + // j = Index of the highest length that is less or equal to s + // Can be optimized with a binary search instead + for( j = *array_back(c->indices) + 1; j lengths[j] lengths[j] > 0.01) + array_push(c->indices, j ); + } + + for( int i = 0; i < array_count(c->indices); ++i ) { + printf("I%d,", c->indices[i]); + } puts(""); + } + + vec3 curve_eval(curve *c, float dt, unsigned *color) { + unsigned nil; if(!color) color = &nil; + if(dt <= 0) dt = 0; // return *color = c->colors[0], c->samples[0]; + if(dt >= 1) dt = 1; // return *color = *array_back(c->colors), *array_back(c->samples); + int l = (int)(array_count(c->indices) - 1); + int p = (int)(dt * l); +#if 1 + int t = c->indices[p]; +#else + int t = p; +#endif + t %= (array_count(c->indices)-1); + vec3 pos = mix3(c->samples[t], c->samples[t+1], dt * l - p); + *color = c->colors[t]; + + puts/*window_title*/(stringf("dt=%5.2f P%dI%d %5f %5f %5f", dt, p,t, pos.x,pos.y,pos.z)); + + return pos; + } + + +int main() { + window_create(0.85, WINDOW_MSAA4); + + camera_t cam = camera(); + + curve cv = {0}; + for(float t = 0; t <= 360; t += 36) { + curve_add(&cv, vec3(cos(t*TO_RAD)*5,0,sin(t*TO_RAD)*5)); +// curve_add(&cv, vec3(cos(t*TO_RAD)*5,0,sin(t*TO_RAD)*5)); +// curve_add(&cv, vec3(cos(t*TO_RAD)*5,0,sin(t*TO_RAD)*5)); +// curve_add(&cv, vec3(cos(t*TO_RAD)*5,0,sin(t*TO_RAD)*5)); + } + int num_points = 11; // beware with these: 8,11,17,20,61,100,200 + curve_finish(&cv, num_points); + + while(window_swap() && !input_down(KEY_ESC)) { + // fps camera + bool active = ui_hover() || ui_active() || gizmo_active() ? false : input(MOUSE_L) || input(MOUSE_M) || input(MOUSE_R); + window_cursor( !active ); + + if( active ) cam.speed = clampf(cam.speed + input_diff(MOUSE_W) / 10, 0.05f, 5.0f); + vec2 mouse = scale2(vec2(input_diff(MOUSE_X), -input_diff(MOUSE_Y)), 0.2f * active); + vec3 wasdecq = scale3(vec3(input(KEY_D)-input(KEY_A),input(KEY_E)-(input(KEY_C)||input(KEY_Q)),input(KEY_W)-input(KEY_S)), cam.speed); + camera_moveby(&cam, wasdecq); + camera_fps(&cam, mouse.x,mouse.y); + + // 3d + ddraw_grid(0); + + for( int i = 0, end = array_count(cv.samples) - 1; i < end; ++i) { + int vis = (int)fmod(window_time(), array_count(cv.samples) - 1); + ddraw_color(i == vis ? BLUE : YELLOW); + ddraw_point(cv.samples[i]); + ddraw_color(YELLOW); + if(i==vis) + ddraw_line(cv.samples[i], cv.samples[i+1]); + } + + static int delay = 5; + float dt = fmod(window_time(), delay) / delay; + vec3 pos = curve_eval(&cv, dt, NULL); + ddraw_color(PURPLE); + ddraw_sphere(pos, 0.5); + + if( ui_panel("Path",PANEL_OPEN)) { + if(ui_int("Points", &num_points)) { if(num_points < 6) num_points = 6; curve_finish(&cv, num_points); } + if(ui_int("Delay", &delay)) { if(delay <= 0) delay = 1; } + ui_panel_end(); + } + } +} diff --git a/tools/steamcmd/steamcmd.exe b/tools/steamcmd/steamcmd.exe index c57a4806e60152c9975ac979dff2c04b044d891e..69c38efcfe28dab376cca444e7260ad9ccfd6644 100644 GIT binary patch delta 1121877 zcmb4s3tUx27wI#!AOd_J1<3&$!~+ZMTeV1L`Wlg>`c5_-} zS=algwK43tz$2>BYPo6S!*;`jkQ?IsIwCaPPs@#(~uU{~xXAH}l zKK)hzH(0u5ueBJAx$2aQ;CPYIgu7BcuyA4btr+ z(bD+U?V1P09*vd)kRM+WO|`lIQ2#_e?@CmgW<4^VT$lmGwof4viFSVNV{&kxR^Gah zt?|4-!n*%rQGbt_(=(ts{npo`;OeYuMi9ZN-6~W1gJWHu~hWgC)1vp 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