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;
- e.(c) += weight;
+ if (weight == 0)
+ return;
+ if (mean == 0)
+ e.(a) *= pow(value, weight);
+ else
+ e.(a) += pow(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 (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);
}
#define MEAN_ACCUMULATE(prefix,v,w) mean_accumulate(self,prefix##_accumulator,prefix##_count,prefix##_mean,v,w)
Returns a random number between -1.0 and 1.0
==================
*/
-float crandom (void)
+float crandom()
{
- return 2 * (random () - 0.5);
+ return 2 * (random() - 0.5);
}
*/
-float angc (float a1, float a2)
+float angc(float a1, float a2)
{
- float a;
-
- while (a1 > 180)
- a1 = a1 - 360;
- while (a1 < -179)
- a1 = a1 + 360;
-
- while (a2 > 180)
- a2 = a2 - 360;
- while (a2 < -179)
- a2 = a2 + 360;
-
- a = a1 - a2;
- while (a > 180)
- a = a - 360;
- while (a < -179)
- a = a + 360;
-
- return a;
+ while (a1 > 180) a1 -= 360;
+ while (a1 < -179) a1 += 360;
+ while (a2 > 180) a2 -= 360;
+ while (a2 < -179) a2 += 360;
+ float a = a1 - a2;
+ while (a > 180) a -= 360;
+ while (a < -179) a += 360;
+ return a;
}
float fsnap(float val,float fsize)
vector lerpv(float t0, vector v0, float t1, vector v1, float t)
{
- return v0 + (v1 - v0) * ((t - t0) / (t1 - t0));
+ return v0 + (v1 - v0) * ((t - t0) / (t1 - t0));
+}
+
+vector bezier_quadratic_getpoint(vector a, vector b, vector c, float t)
+{
+ return
+ (c - 2 * b + a) * (t * t) +
+ (b - a) * (2 * t) +
+ a;
+}
+
+vector bezier_quadratic_getderivative(vector a, vector b, vector c, float t)
+{
+ return
+ (c - 2 * b + a) * (2 * t) +
+ (b - a) * 2;
+}
+
+float cubic_speedfunc(float startspeedfactor, float endspeedfactor, float x)
+{
+ return
+ ((( startspeedfactor + endspeedfactor - 2
+ ) * x - 2 * startspeedfactor - endspeedfactor + 3
+ ) * x + startspeedfactor
+ ) * x;
+}
+
+bool cubic_speedfunc_is_sane(float startspeedfactor, float endspeedfactor)
+{
+ if (startspeedfactor < 0 || endspeedfactor < 0)
+ return false;
+
+ /*
+ // if this is the case, the possible zeros of the first derivative are outside
+ // 0..1
+ We can calculate this condition as condition
+ if(se <= 3)
+ return true;
+ */
+
+ // better, see below:
+ if (startspeedfactor <= 3 && endspeedfactor <= 3)
+ return true;
+
+ // if this is the case, the first derivative has no zeros at all
+ float se = startspeedfactor + endspeedfactor;
+ float s_e = startspeedfactor - endspeedfactor;
+ if (3 * (se - 4) * (se - 4) + s_e * s_e <= 12) // an ellipse
+ return true;
+
+ // Now let s <= 3, s <= 3, s+e >= 3 (triangle) then we get se <= 6 (top right corner).
+ // we also get s_e <= 6 - se
+ // 3 * (se - 4)^2 + (6 - se)^2
+ // is quadratic, has value 12 at 3 and 6, and value < 12 in between.
+ // Therefore, above "better" check works!
+
+ return false;
+
+ // known good cases:
+ // (0, [0..3])
+ // (0.5, [0..3.8])
+ // (1, [0..4])
+ // (1.5, [0..3.9])
+ // (2, [0..3.7])
+ // (2.5, [0..3.4])
+ // (3, [0..3])
+ // (3.5, [0.2..2.3])
+ // (4, 1)
+
+ /*
+ On another note:
+ inflection point is always at (2s + e - 3) / (3s + 3e - 6).
+
+ s + e - 2 == 0: no inflection
+
+ s + e > 2:
+ 0 < inflection < 1 if:
+ 0 < 2s + e - 3 < 3s + 3e - 6
+ 2s + e > 3 and 2e + s > 3
+
+ s + e < 2:
+ 0 < inflection < 1 if:
+ 0 > 2s + e - 3 > 3s + 3e - 6
+ 2s + e < 3 and 2e + s < 3
+
+ Therefore: there is an inflection point iff:
+ e outside (3 - s)/2 .. 3 - s*2
+
+ in other words, if (s,e) in triangle (1,1)(0,3)(0,1.5) or in triangle (1,1)(3,0)(1.5,0)
+ */
+}
+
+/** continuous function mapping all reals into -1..1 */
+float float2range11(float f)
+{
+ return f / (fabs(f) + 1);
}
+/** continuous function mapping all reals into 0..1 */
+float float2range01(float f)
+{
+ return 0.5 + 0.5 * float2range11(f);
+}
+
+float median(float a, float b, float c)
+{
+ return (a < c) ? bound(a, b, c) : bound(c, b, a);
+}
+
+float almost_equals(float a, float b)
+{
+ float eps = (max(a, -a) + max(b, -b)) * 0.001;
+ 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;
+ if (a > c)
+ eps = -eps;
+ return b == median(a - eps, b, c + eps);
+}
+
+float power2of(float e)
+{
+ return pow(2, e);
+}
+
+float log2of(float x)
+{
+ // NOTE: generated code
+ if (x > 2048)
+ if (x > 131072)
+ if (x > 1048576)
+ if (x > 4194304)
+ return 23;
+ else
+ if (x > 2097152)
+ return 22;
+ else
+ return 21;
+ else
+ if (x > 524288)
+ return 20;
+ else
+ if (x > 262144)
+ return 19;
+ else
+ return 18;
+ else
+ if (x > 16384)
+ if (x > 65536)
+ return 17;
+ else
+ if (x > 32768)
+ return 16;
+ else
+ return 15;
+ else
+ if (x > 8192)
+ return 14;
+ else
+ if (x > 4096)
+ return 13;
+ else
+ return 12;
+ else
+ if (x > 32)
+ if (x > 256)
+ if (x > 1024)
+ return 11;
+ else
+ if (x > 512)
+ return 10;
+ else
+ return 9;
+ else
+ if (x > 128)
+ return 8;
+ else
+ if (x > 64)
+ return 7;
+ else
+ return 6;
+ else
+ if (x > 4)
+ if (x > 16)
+ return 5;
+ else
+ if (x > 8)
+ return 4;
+ else
+ return 3;
+ else
+ if (x > 2)
+ return 2;
+ else
+ if (x > 1)
+ return 1;
+ else
+ return 0;
+}
+
+
#endif
projects / xonotic / xonotic-data.pk3dir.git / blobdiff