X-Git-Url: http://git.xonotic.org/?a=blobdiff_plain;f=qcsrc%2Flib%2Fmath.qh;h=ac23325000995f50ef2e1fdde945686ff741401f;hb=c3e3dd71484d563af474cb4b9e8624b6093e0b0f;hp=06994887c58ad6bbaeb7a46855052f300561279b;hpb=5fb2f3c4e123910e6291d6337fadd61f5199f5a5;p=xonotic%2Fxonotic-data.pk3dir.git diff --git a/qcsrc/lib/math.qh b/qcsrc/lib/math.qh index 06994887c..ac2332500 100644 --- a/qcsrc/lib/math.qh +++ b/qcsrc/lib/math.qh @@ -2,6 +2,7 @@ #include "lib/float.qh" +ERASEABLE void mean_accumulate(entity e, .float a, .float c, float mean, float value, float weight) { if (weight == 0) return; @@ -10,6 +11,7 @@ void mean_accumulate(entity e, .float a, .float c, float mean, float value, floa e.(c) += weight; } +ERASEABLE float mean_evaluate(entity e, .float a, .float c, float mean) { if (e.(c) == 0) return 0; @@ -32,6 +34,7 @@ Angc used for animations */ +ERASEABLE float angc(float a1, float a2) { while (a1 > 180) @@ -50,11 +53,13 @@ float angc(float a1, float a2) return a; } +ERASEABLE float fsnap(float val, float fsize) { return rint(val / fsize) * fsize; } +ERASEABLE vector vsnap(vector point, float fsize) { vector vret; @@ -66,11 +71,46 @@ vector vsnap(vector point, float fsize) return vret; } +ERASEABLE +float lerpratio(float f0, float f1, float ratio) +{ + return f0 * (1 - ratio) + f1 * ratio; +} + +ERASEABLE +float lerp(float t0, float f0, float t1, float f1, float t) +{ + return lerpratio(f0, f1, (t - t0) / (t1 - t0)); +} + +ERASEABLE +float lerp3ratio(float f0, float f1, float f2, float ratio) +{ + float mid = 0.5; + return ratio < mid ? lerpratio(f0, f1, ratio / mid) : ratio > mid ? lerpratio(f1, f2, (ratio - mid) / mid) : f1; +} + + +ERASEABLE +vector lerpvratio(vector f0, vector f1, float ratio) +{ + return f0 * (1 - ratio) + f1 * ratio; +} + +ERASEABLE +vector lerpv3ratio(vector f0, vector f1, vector f2, float ratio) +{ + float mid = 0.5; + return ratio < mid ? lerpvratio(f0, f1, ratio / mid) : ratio > mid ? lerpvratio(f1, f2, (ratio - mid) / mid) : f1; +} + +ERASEABLE vector lerpv(float t0, vector v0, float t1, vector v1, float t) { return v0 + (v1 - v0) * ((t - t0) / (t1 - t0)); } +ERASEABLE vector bezier_quadratic_getpoint(vector a, vector b, vector c, float t) { return (c - 2 * b + a) * (t * t) @@ -78,12 +118,14 @@ vector bezier_quadratic_getpoint(vector a, vector b, vector c, float t) + a; } +ERASEABLE vector bezier_quadratic_getderivative(vector a, vector b, vector c, float t) { return (c - 2 * b + a) * (2 * t) + (b - a) * 2; } +ERASEABLE float cubic_speedfunc(float startspeedfactor, float endspeedfactor, float spd) { return (((startspeedfactor + endspeedfactor - 2 @@ -92,6 +134,7 @@ float cubic_speedfunc(float startspeedfactor, float endspeedfactor, float spd) ) * spd; } +ERASEABLE bool cubic_speedfunc_is_sane(float startspeedfactor, float endspeedfactor) { if (startspeedfactor < 0 || endspeedfactor < 0) return false; @@ -156,34 +199,40 @@ bool cubic_speedfunc_is_sane(float startspeedfactor, float endspeedfactor) } /** continuous function mapping all reals into -1..1 */ +ERASEABLE float float2range11(float f) { return f / (fabs(f) + 1); } /** continuous function mapping all reals into 0..1 */ +ERASEABLE float float2range01(float f) { return 0.5 + 0.5 * float2range11(f); } +ERASEABLE float median(float a, float b, float c) { return (a < c) ? bound(a, b, c) : bound(c, b, a); } +ERASEABLE float almost_equals(float a, float b) { float eps = (max(a, -a) + max(b, -b)) * 0.001; return a - b < eps && b - a < eps; } +ERASEABLE float almost_equals_eps(float a, float b, float times_eps) { float eps = max(fabs(a), fabs(b)) * FLOAT_EPSILON * times_eps; return a - b < eps && b - a < eps; } +ERASEABLE float almost_in_bounds(float a, float b, float c) { float eps = (max(a, -a) + max(c, -c)) * 0.001; @@ -191,6 +240,7 @@ float almost_in_bounds(float a, float b, float c) return b == median(a - eps, b, c + eps); } +ERASEABLE float ExponentialFalloff(float mindist, float maxdist, float halflifedist, float d) { if (halflifedist > 0) return (0.5 ** ((bound(mindist, d, maxdist) - mindist) / halflifedist)); @@ -198,11 +248,9 @@ float ExponentialFalloff(float mindist, float maxdist, float halflifedist, float else return 1; } -float power2of(float e) -{ - return (2 ** e); -} +#define power2of(e) (2 ** e) +ERASEABLE float log2of(float e) { // NOTE: generated code @@ -255,6 +303,7 @@ float log2of(float e) } /** ax^2 + bx + c = 0 */ +ERASEABLE vector solve_quadratic(float a, float b, float c) { vector v; @@ -306,3 +355,25 @@ vector solve_quadratic(float a, float b, float c) } return v; } + +/// Maps values between the src and dest range: src_min to dest_min, src_max to dest_max, values between them +/// to the corresponding values between and extrapolates for values outside the range. +/// +/// src_min and src_max must not be the same or division by zero occurs. +/// +/// dest_max can be smaller than dest_min if you want the resulting range to be inverted, all values can be negative. +ERASEABLE +float map_ranges(float value, float src_min, float src_max, float dest_min, float dest_max) { + float src_diff = src_max - src_min; + float dest_diff = dest_max - dest_min; + float ratio = (value - src_min) / src_diff; + return dest_min + dest_diff * ratio; +} + +/// Same as `map_ranges` except that values outside the source range are clamped to min or max. +ERASEABLE +float map_bound_ranges(float value, float src_min, float src_max, float dest_min, float dest_max) { + if (value <= src_min) return dest_min; + if (value >= src_max) return dest_max; + return map_ranges(value, src_min, src_max, dest_min, dest_max); +}