-#ifndef MATH_H
-#define MATH_H
+#pragma once
+
+#include "lib/float.qh"
void mean_accumulate(entity e, .float a, .float c, float mean, float value, float weight)
{
if (weight == 0) return;
- if (mean == 0) e.(a) *= pow(value, weight);
- else e.(a) += pow(value, mean) * weight;
+ if (mean == 0) e.(a) *= (value ** weight);
+ else e.(a) += (value ** mean) * weight;
e.(c) += weight;
}
float mean_evaluate(entity e, .float a, .float c, float mean)
{
if (e.(c) == 0) return 0;
- if (mean == 0) return pow(e.(a), 1.0 / e.(c));
- else return pow(e.(a) / e.(c), 1.0 / mean);
+ if (mean == 0) return (e.(a) ** (1.0 / e.(c)));
+ else return ((e.(a) / e.(c)) ** (1.0 / mean));
}
-#define MEAN_ACCUMULATE(prefix, v, w) mean_accumulate(self, prefix##_accumulator, prefix##_count, prefix##_mean, v, w)
-#define MEAN_EVALUATE(prefix) mean_evaluate(self, prefix##_accumulator, prefix##_count, prefix##_mean)
+#define MEAN_ACCUMULATE(s, prefix, v, w) mean_accumulate(s, prefix##_accumulator, prefix##_count, prefix##_mean, v, w)
+#define MEAN_EVALUATE(s, prefix) mean_evaluate(s, prefix##_accumulator, prefix##_count, prefix##_mean)
#define MEAN_DECLARE(prefix, m) float prefix##_mean = m; .float prefix##_count, prefix##_accumulator
/** Returns a random number between -1.0 and 1.0 */
+ (b - a) * 2;
}
-float cubic_speedfunc(float startspeedfactor, float endspeedfactor, float x)
+float cubic_speedfunc(float startspeedfactor, float endspeedfactor, float spd)
{
return (((startspeedfactor + endspeedfactor - 2
- ) * x - 2 * startspeedfactor - endspeedfactor + 3
- ) * x + startspeedfactor
- ) * x;
+ ) * spd - 2 * startspeedfactor - endspeedfactor + 3
+ ) * spd + startspeedfactor
+ ) * spd;
}
bool cubic_speedfunc_is_sane(float startspeedfactor, float endspeedfactor)
return a - b < eps && b - a < eps;
}
+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;
+}
+
float almost_in_bounds(float a, float b, float c)
{
float eps = (max(a, -a) + max(c, -c)) * 0.001;
return b == median(a - eps, b, c + eps);
}
+float ExponentialFalloff(float mindist, float maxdist, float halflifedist, float d)
+{
+ if (halflifedist > 0) return (0.5 ** ((bound(mindist, d, maxdist) - mindist) / halflifedist));
+ else if (halflifedist < 0) return (0.5 ** ((bound(mindist, d, maxdist) - maxdist) / halflifedist));
+ else return 1;
+}
+
float power2of(float e)
{
- return pow(2, e);
+ return (2 ** e);
}
-float log2of(float x)
+float log2of(float e)
{
// NOTE: generated code
- if (x > 2048)
- if (x > 131072)
- if (x > 1048576)
- if (x > 4194304) return 23;
+ if (e > 2048)
+ if (e > 131072)
+ if (e > 1048576)
+ if (e > 4194304) return 23;
else
- if (x > 2097152) return 22;
+ if (e > 2097152) return 22;
else return 21;
else
- if (x > 524288) return 20;
+ if (e > 524288) return 20;
else
- if (x > 262144) return 19;
+ if (e > 262144) return 19;
else return 18;
else
- if (x > 16384)
- if (x > 65536) return 17;
+ if (e > 16384)
+ if (e > 65536) return 17;
else
- if (x > 32768) return 16;
+ if (e > 32768) return 16;
else return 15;
else
- if (x > 8192) return 14;
+ if (e > 8192) return 14;
else
- if (x > 4096) return 13;
+ if (e > 4096) return 13;
else return 12;
else
- if (x > 32)
- if (x > 256)
- if (x > 1024) return 11;
+ if (e > 32)
+ if (e > 256)
+ if (e > 1024) return 11;
else
- if (x > 512) return 10;
+ if (e > 512) return 10;
else return 9;
else
- if (x > 128) return 8;
+ if (e > 128) return 8;
else
- if (x > 64) return 7;
+ if (e > 64) return 7;
else return 6;
else
- if (x > 4)
- if (x > 16) return 5;
+ if (e > 4)
+ if (e > 16) return 5;
else
- if (x > 8) return 4;
+ if (e > 8) return 4;
else return 3;
else
- if (x > 2) return 2;
+ if (e > 2) return 2;
else
- if (x > 1) return 1;
+ if (e > 1) return 1;
else return 0;
}
-
-#endif
+/** ax^2 + bx + c = 0 */
+vector solve_quadratic(float a, float b, float c)
+{
+ vector v;
+ float D;
+ v = '0 0 0';
+ if (a == 0)
+ {
+ if (b != 0)
+ {
+ v.x = v.y = -c / b;
+ v.z = 1;
+ }
+ else
+ {
+ if (c == 0)
+ {
+ // actually, every number solves the equation!
+ v.z = 1;
+ }
+ }
+ }
+ else
+ {
+ D = b * b - 4 * a * c;
+ if (D >= 0)
+ {
+ D = sqrt(D);
+ if (a > 0) // put the smaller solution first
+ {
+ v.x = ((-b) - D) / (2 * a);
+ v.y = ((-b) + D) / (2 * a);
+ }
+ else
+ {
+ v.x = (-b + D) / (2 * a);
+ v.y = (-b - D) / (2 * a);
+ }
+ v.z = 1;
+ }
+ else
+ {
+ // complex solutions!
+ D = sqrt(-D);
+ v.x = -b / (2 * a);
+ if (a > 0) v.y = D / (2 * a);
+ else v.y = -D / (2 * a);
+ v.z = 0;
+ }
+ }
+ return v;
+}
projects / xonotic / xonotic-data.pk3dir.git / blobdiff