minetest/src/util/numeric.cpp

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/*
2013-02-24 18:40:43 +01:00
Minetest
2013-02-24 19:38:45 +01:00
Copyright (C) 2010-2013 celeron55, Perttu Ahola <celeron55@gmail.com>
This program is free software; you can redistribute it and/or modify
it under the terms of the GNU Lesser General Public License as published by
the Free Software Foundation; either version 2.1 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public License along
with this program; if not, write to the Free Software Foundation, Inc.,
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
*/
#include "numeric.h"
#include "log.h"
#include "constants.h" // BS, MAP_BLOCKSIZE
#include "noise.h" // PseudoRandom, PcgRandom
#include "threading/mutex_auto_lock.h"
#include <cstring>
#include <cmath>
// myrand
PcgRandom g_pcgrand;
u32 myrand()
{
return g_pcgrand.next();
}
void mysrand(unsigned int seed)
{
g_pcgrand.seed(seed);
}
void myrand_bytes(void *out, size_t len)
{
g_pcgrand.bytes(out, len);
}
int myrand_range(int min, int max)
{
return g_pcgrand.range(min, max);
}
/*
64-bit unaligned version of MurmurHash
*/
u64 murmur_hash_64_ua(const void *key, int len, unsigned int seed)
{
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const u64 m = 0xc6a4a7935bd1e995ULL;
const int r = 47;
u64 h = seed ^ (len * m);
const u64 *data = (const u64 *)key;
const u64 *end = data + (len / 8);
while (data != end) {
u64 k;
memcpy(&k, data, sizeof(u64));
data++;
k *= m;
k ^= k >> r;
k *= m;
h ^= k;
h *= m;
}
const unsigned char *data2 = (const unsigned char *)data;
switch (len & 7) {
case 7: h ^= (u64)data2[6] << 48;
case 6: h ^= (u64)data2[5] << 40;
case 5: h ^= (u64)data2[4] << 32;
case 4: h ^= (u64)data2[3] << 24;
case 3: h ^= (u64)data2[2] << 16;
case 2: h ^= (u64)data2[1] << 8;
case 1: h ^= (u64)data2[0];
h *= m;
}
h ^= h >> r;
h *= m;
h ^= h >> r;
return h;
}
/*
blockpos_b: position of block in block coordinates
camera_pos: position of camera in nodes
camera_dir: an unit vector pointing to camera direction
range: viewing range
distance_ptr: return location for distance from the camera
*/
bool isBlockInSight(v3s16 blockpos_b, v3f camera_pos, v3f camera_dir,
f32 camera_fov, f32 range, f32 *distance_ptr)
{
// Maximum radius of a block. The magic number is
// sqrt(3.0) / 2.0 in literal form.
const f32 block_max_radius = 0.866025403784 * MAP_BLOCKSIZE * BS;
v3s16 blockpos_nodes = blockpos_b * MAP_BLOCKSIZE;
// Block center position
v3f blockpos(
((float)blockpos_nodes.X + MAP_BLOCKSIZE/2) * BS,
((float)blockpos_nodes.Y + MAP_BLOCKSIZE/2) * BS,
((float)blockpos_nodes.Z + MAP_BLOCKSIZE/2) * BS
);
// Block position relative to camera
v3f blockpos_relative = blockpos - camera_pos;
// Total distance
f32 d = MYMAX(0, blockpos_relative.getLength() - block_max_radius);
if(distance_ptr)
*distance_ptr = d;
// If block is far away, it's not in sight
if(d > range)
return false;
// If block is (nearly) touching the camera, don't
// bother validating further (that is, render it anyway)
if(d == 0)
return true;
// Adjust camera position, for purposes of computing the angle,
// such that a block that has any portion visible with the
// current camera position will have the center visible at the
// adjusted postion
f32 adjdist = block_max_radius / cos((M_PI - camera_fov) / 2);
// Block position relative to adjusted camera
v3f blockpos_adj = blockpos - (camera_pos - camera_dir * adjdist);
// Distance in camera direction (+=front, -=back)
f32 dforward = blockpos_adj.dotProduct(camera_dir);
// Cosine of the angle between the camera direction
// and the block direction (camera_dir is an unit vector)
f32 cosangle = dforward / blockpos_adj.getLength();
// If block is not in the field of view, skip it
// HOTFIX: use sligthly increased angle (+10%) to fix too agressive
// culling. Somebody have to find out whats wrong with the math here.
// Previous value: camera_fov / 2
if(cosangle < cos(camera_fov * 0.55))
return false;
return true;
}
s16 adjustDist(s16 dist, float zoom_fov)
{
// 1.775 ~= 72 * PI / 180 * 1.4, the default on the client
const float default_fov = 1.775f;
// heuristic cut-off for zooming
if (zoom_fov > default_fov / 2.0f)
return dist;
// new_dist = dist * ((1 - cos(FOV / 2)) / (1-cos(zoomFOV /2))) ^ (1/3)
return round(dist * cbrt((1.0f - cos(default_fov / 2.0f)) /
(1.0f - cos(zoom_fov / 2.0f))));
}