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-rw-r--r--core/math/a_star.cpp28
-rw-r--r--core/math/a_star.h1
-rw-r--r--core/math/random_number_generator.h5
-rw-r--r--core/math/random_pcg.cpp8
-rw-r--r--core/math/random_pcg.h62
-rw-r--r--core/math/vector3.h2
6 files changed, 88 insertions, 18 deletions
diff --git a/core/math/a_star.cpp b/core/math/a_star.cpp
index 3d71e66f80..0b6e9ae929 100644
--- a/core/math/a_star.cpp
+++ b/core/math/a_star.cpp
@@ -99,14 +99,22 @@ void AStar::remove_point(int p_id) {
Point *p = points[p_id];
- Map<int, Point *>::Element *PE = points.front();
- while (PE) {
- for (Set<Point *>::Element *E = PE->get()->neighbours.front(); E; E = E->next()) {
- Segment s(p_id, E->get()->id);
- segments.erase(s);
- E->get()->neighbours.erase(p);
- }
- PE = PE->next();
+ for (Set<Point *>::Element *E = p->neighbours.front(); E; E = E->next()) {
+
+ Segment s(p_id, E->get()->id);
+ segments.erase(s);
+
+ E->get()->neighbours.erase(p);
+ E->get()->unlinked_neighbours.erase(p);
+ }
+
+ for (Set<Point *>::Element *E = p->unlinked_neighbours.front(); E; E = E->next()) {
+
+ Segment s(p_id, E->get()->id);
+ segments.erase(s);
+
+ E->get()->neighbours.erase(p);
+ E->get()->unlinked_neighbours.erase(p);
}
memdelete(p);
@@ -125,6 +133,8 @@ void AStar::connect_points(int p_id, int p_with_id, bool bidirectional) {
if (bidirectional)
b->neighbours.insert(a);
+ else
+ b->unlinked_neighbours.insert(a);
Segment s(p_id, p_with_id);
if (s.from == p_id) {
@@ -147,7 +157,9 @@ void AStar::disconnect_points(int p_id, int p_with_id) {
Point *a = points[p_id];
Point *b = points[p_with_id];
a->neighbours.erase(b);
+ a->unlinked_neighbours.erase(b);
b->neighbours.erase(a);
+ b->unlinked_neighbours.erase(a);
}
bool AStar::has_point(int p_id) const {
diff --git a/core/math/a_star.h b/core/math/a_star.h
index fac8a9d312..ba35d929b3 100644
--- a/core/math/a_star.h
+++ b/core/math/a_star.h
@@ -54,6 +54,7 @@ class AStar : public Reference {
bool enabled;
Set<Point *> neighbours;
+ Set<Point *> unlinked_neighbours;
// Used for pathfinding
Point *prev_point;
diff --git a/core/math/random_number_generator.h b/core/math/random_number_generator.h
index 6b6bcdd2cd..a6182a4b33 100644
--- a/core/math/random_number_generator.h
+++ b/core/math/random_number_generator.h
@@ -59,7 +59,10 @@ public:
_FORCE_INLINE_ int randi_range(int from, int to) {
unsigned int ret = randbase.rand();
- return ret % (to - from + 1) + from;
+ if (to < from)
+ return ret % (from - to + 1) + to;
+ else
+ return ret % (to - from + 1) + from;
}
RandomNumberGenerator();
diff --git a/core/math/random_pcg.cpp b/core/math/random_pcg.cpp
index 8351bd138e..00c0af515d 100644
--- a/core/math/random_pcg.cpp
+++ b/core/math/random_pcg.cpp
@@ -43,13 +43,9 @@ void RandomPCG::randomize() {
}
double RandomPCG::random(double p_from, double p_to) {
- unsigned int r = rand();
- double ret = (double)r / (double)RANDOM_MAX;
- return (ret) * (p_to - p_from) + p_from;
+ return randd() * (p_to - p_from) + p_from;
}
float RandomPCG::random(float p_from, float p_to) {
- unsigned int r = rand();
- float ret = (float)r / (float)RANDOM_MAX;
- return (ret) * (p_to - p_from) + p_from;
+ return randf() * (p_to - p_from) + p_from;
}
diff --git a/core/math/random_pcg.h b/core/math/random_pcg.h
index 0d1b311c0d..aa25914638 100644
--- a/core/math/random_pcg.h
+++ b/core/math/random_pcg.h
@@ -37,6 +37,28 @@
#include "thirdparty/misc/pcg.h"
+#if defined(__GNUC__) || (_llvm_has_builtin(__builtin_clz))
+#define CLZ32(x) __builtin_clz(x)
+#elif defined(_MSC_VER)
+#include "intrin.h"
+static int __bsr_clz32(uint32_t x) {
+ unsigned long index;
+ _BitScanReverse(&index, x);
+ return 31 - index;
+}
+#define CLZ32(x) __bsr_clz32(x)
+#else
+#endif
+
+#if defined(__GNUC__) || (_llvm_has_builtin(__builtin_ldexp) && _llvm_has_builtin(__builtin_ldexpf))
+#define LDEXP(s, e) __builtin_ldexp(s, e)
+#define LDEXPF(s, e) __builtin_ldexpf(s, e)
+#else
+#include "math.h"
+#define LDEXP(s, e) ldexp(s, e)
+#define LDEXPF(s, e) ldexp(s, e)
+#endif
+
class RandomPCG {
pcg32_random_t pcg;
uint64_t current_seed; // seed with this to get the same state
@@ -60,8 +82,44 @@ public:
current_seed = pcg.state;
return pcg32_random_r(&pcg);
}
- _FORCE_INLINE_ double randd() { return (double)rand() / (double)RANDOM_MAX; }
- _FORCE_INLINE_ float randf() { return (float)rand() / (float)RANDOM_MAX; }
+
+ // Obtaining floating point numbers in [0, 1] range with "good enough" uniformity.
+ // These functions sample the output of rand() as the fraction part of an infinite binary number,
+ // with some tricks applied to reduce ops and branching:
+ // 1. Instead of shifting to the first 1 and connecting random bits, we simply set the MSB and LSB to 1.
+ // Provided that the RNG is actually uniform bit by bit, this should have the exact same effect.
+ // 2. In order to compensate for exponent info loss, we count zeros from another random number,
+ // and just add that to the initial offset.
+ // This has the same probability as counting and shifting an actual bit stream: 2^-n for n zeroes.
+ // For all numbers above 2^-96 (2^-64 for floats), the functions should be uniform.
+ // However, all numbers below that threshold are floored to 0.
+ // The thresholds are chosen to minimize rand() calls while keeping the numbers within a totally subjective quality standard.
+ // If clz or ldexp isn't available, fall back to bit truncation for performance, sacrificing uniformity.
+ _FORCE_INLINE_ double randd() {
+#if defined(CLZ32)
+ uint32_t proto_exp_offset = rand();
+ if (unlikely(proto_exp_offset == 0)) {
+ return 0;
+ }
+ uint64_t significand = (((uint64_t)rand()) << 32) | rand() | 0x8000000000000001U;
+ return LDEXP((double)significand, -64 - CLZ32(proto_exp_offset));
+#else
+#pragma message("RandomPCG::randd - intrinsic clz is not available, falling back to bit truncation")
+ return (double)(((((uint64_t)rand()) << 32) | rand()) & 0x1FFFFFFFFFFFFFU) / (double)0x1FFFFFFFFFFFFFU;
+#endif
+ }
+ _FORCE_INLINE_ float randf() {
+#if defined(CLZ32)
+ uint32_t proto_exp_offset = rand();
+ if (unlikely(proto_exp_offset == 0)) {
+ return 0;
+ }
+ return LDEXPF((float)(rand() | 0x80000001), -32 - CLZ32(proto_exp_offset));
+#else
+#pragma message("RandomPCG::randf - intrinsic clz is not available, falling back to bit truncation")
+ return (float)(rand() & 0xFFFFFF) / (float)0xFFFFFF;
+#endif
+ }
_FORCE_INLINE_ double randfn(double p_mean, double p_deviation) {
return p_mean + p_deviation * (cos(Math_TAU * randd()) * sqrt(-2.0 * log(randd()))); // Box-Muller transform
diff --git a/core/math/vector3.h b/core/math/vector3.h
index 6423147282..811a207138 100644
--- a/core/math/vector3.h
+++ b/core/math/vector3.h
@@ -224,7 +224,7 @@ Vector3 Vector3::slerp(const Vector3 &p_b, real_t p_t) const {
#endif
real_t theta = angle_to(p_b);
- return rotated(cross(p_b), theta * p_t);
+ return rotated(cross(p_b).normalized(), theta * p_t);
}
real_t Vector3::distance_to(const Vector3 &p_b) const {