minetest/src/mapgen_math.cpp

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/*
Minetest
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 <cmath>
#include "mapgen_math.h"
#include "voxel.h"
#include "mapblock.h"
#include "mapnode.h"
#include "map.h"
#include "nodedef.h"
#include "voxelalgorithms.h"
#include "profiler.h"
#include "settings.h" // For g_settings
#include "main.h" // For g_profiler
#include "emerge.h"
#include "biome.h"
// can use ported lib from http://mandelbulber.googlecode.com/svn/trunk/src
//#include "mandelbulber/fractal.h"
//#include "mandelbulber/fractal.cpp"
double mandelbox(double x, double y, double z, double d, int nn = 10) {
int s = 7;
x *= s;
y *= s;
z *= s;
d *= s;
double posX = x;
double posY = y;
double posZ = z;
double dr = 1.0;
double r = 0.0;
double scale = 2;
double minRadius2 = 0.25;
double fixedRadius2 = 1;
for (int n = 0; n < nn; n++) {
// Reflect
if (x > 1.0)
x = 2.0 - x;
else if (x < -1.0)
x = -2.0 - x;
if (y > 1.0)
y = 2.0 - y;
else if (y < -1.0)
y = -2.0 - y;
if (z > 1.0)
z = 2.0 - z;
else if (z < -1.0)
z = -2.0 - z;
// Sphere Inversion
double r2 = x * x + y * y + z * z;
if (r2 < minRadius2) {
x = x * fixedRadius2 / minRadius2;
y = y * fixedRadius2 / minRadius2;
z = z * fixedRadius2 / minRadius2;
dr = dr * fixedRadius2 / minRadius2;
} else if (r2 < fixedRadius2) {
x = x * fixedRadius2 / r2;
y = y * fixedRadius2 / r2;
z = z * fixedRadius2 / r2;
fixedRadius2 *= fixedRadius2 / r2;
}
x = x * scale + posX;
y = y * scale + posY;
z = z * scale + posZ;
dr *= scale;
}
r = sqrt(x * x + y * y + z * z);
return ((r / fabs(dr)) < d);
}
double mengersponge(double x, double y, double z, double d, int MI = 10) {
double r = x * x + y * y + z * z;
double scale = 3;
int i = 0;
for (i = 0; i < MI && r < 9; i++) {
x = fabs(x);
y = fabs(y);
z = fabs(z);
if (x - y < 0) {
double x1 = y;
y = x;
x = x1;
}
if (x - z < 0) {
double x1 = z;
z = x;
x = x1;
}
if (y - z < 0) {
double y1 = z;
z = y;
y = y1;
}
x = scale * x - 1 * (scale - 1);
y = scale * y - 1 * (scale - 1);
z = scale * z;
if (z > 0.5 * 1 * (scale - 1))
z -= 1 * (scale - 1);
r = x * x + y * y + z * z;
}
return ((sqrt(r)) * pow(scale, (-i)) < d);
}
double sphere(double x, double y, double z, double d, int ITR = 1) {
return v3f(x, y, z).getLength() < d;
}
//////////////////////// Mapgen Math parameter read/write
bool MapgenMathParams::readParams(Settings *settings) {
//params = settings->getJson("mg_math");
// can be counfigured from here.
std::string value = "{}";
Json::Reader reader;
if (!reader.parse( value, params ) ) {
errorstream << "Failed to parse json conf var ='" << value << "' : " << reader.getFormattedErrorMessages();
}
if (params["generator"].empty()) params["generator"] = settings->get("mgmath_generator");
return true;
}
void MapgenMathParams::writeParams(Settings *settings) {
//settings->setJson("mg_math", params);
settings->set("mgmath_generator", params["generator"].asString());
}
///////////////////////////////////////////////////////////////////////////////
MapgenMath::MapgenMath(int mapgenid, MapgenMathParams *params_, EmergeManager *emerge) : MapgenV7(mapgenid, params_, emerge) {
mg_params = params_;
this->flags |= MG_NOLIGHT;
Json::Value & params = mg_params->params;
invert = params["invert"].empty() ? 1 : params["invert"].asBool(); //params["invert"].empty()?1:params["invert"].asBool();
size = params["size"].empty() ? 0 : params["size"].asDouble(); // = max_r
scale = params["scale"].empty() ? 0 : params["scale"].asDouble(); //(double)1 / size;
if(!params["center"].empty()) center = v3f(params["center"]["x"].asFloat(), params["center"]["y"].asFloat(), params["center"]["z"].asFloat()); //v3f(5, -size - 5, 5);
iterations = params["iterations"].empty() ? 0 : params["iterations"].asInt(); //10;
distance = params["distance"].empty() ? 0 : params["distance"].asDouble(); // = 1/size;
func = &sphere;
if (params["generator"].empty()) params["generator"] = "mandelbox";
if (params["generator"].asString() == "mengersponge") {
if (!size) size = (MAP_GENERATION_LIMIT - 1000) / 2;
if (!iterations) iterations = 10;
if (!distance) distance = 0.0003;
//if (!scale) scale = (double)0.1 / size;
//if (!distance) distance = 0.01; //10/size;//sqrt3 * bd4;
//if (!scale) scale = 0.01; //10/size;//sqrt3 * bd4;
//center=v3f(-size/3,-size/3+(-2*-invert),2);
center = v3f(-size, -size, -size);
func = &mengersponge;
} else if (params["generator"].asString() == "mandelbox") {
/*
size = MAP_GENERATION_LIMIT - 1000;
//size = 1000;
distance = 0.01; //100/size; //0.01;
iterations = 10;
center = v3f(1, 1, 1); // *size/6;
*/
//mandelbox
if (!size) size = 1000;
if (!distance) distance = 0.01;
if(params["invert"].empty()) invert = 0;
//center=v3f(2,-size/4,2);
//size = 10000;
//center=v3f(size/2,-size*0.9,size/2);
if(params["center"].empty())center = v3f(size * 0.3, -size * 0.6, size * 0.5);
func = &mandelbox;
} else if (params["generator"].asString() == "sphere") {
if(params["invert"].empty()) invert = 0;
if (!size) size = 100;
if (!distance) distance = size;
func = &sphere;
if (!scale) scale = 1;
//sphere
//size = 1000;scale = 1;center = v3f(2,-size-2,2);
}
if (!iterations) iterations = 10;
if (!size) size = 1000;
if (!scale) scale = (double)1 / size;
if (!distance) distance = scale;
if (params["center"].empty() && !center.getLength()) center = v3f(3, -size + (-5 - (-invert * 10)), 3);
//size ||= params["size"].empty()?1000:params["size"].asDouble(); // = max_r
}
MapgenMath::~MapgenMath() {
}
//////////////////////// Map generator
int MapgenMath::generateTerrain() {
MapNode n_air(CONTENT_AIR, LIGHT_SUN), n_water_source(c_water_source, LIGHT_SUN);
MapNode n_stone(c_stone, LIGHT_SUN);
u32 index = 0;
v3s16 em = vm->m_area.getExtent();
#if 1
/* debug
v3f vec0 = (v3f(node_min.X, node_min.Y, node_min.Z) - center) * scale ;
errorstream << " X=" << node_min.X << " Y=" << node_min.Y << " Z=" << node_min.Z
//<< " N="<< mengersponge(vec0.X, vec0.Y, vec0.Z, distance, iterations)
<< " N=" << (*func)(vec0.X, vec0.Y, vec0.Z, distance, iterations)
<< " Sc=" << scale << " gen=" << params["generator"].asString() << " J=" << Json::FastWriter().write(params) << std::endl;
*/
for (s16 z = node_min.Z; z <= node_max.Z; z++) {
for (s16 x = node_min.X; x <= node_max.X; x++, index++) {
2013-07-28 22:10:44 +02:00
//Biome *biome = bmgr->biomes[biomemap[index]];
u32 i = vm->m_area.index(x, node_min.Y, z);
for (s16 y = node_min.Y; y <= node_max.Y; y++) {
v3f vec = (v3f(x, y, z) - center) * scale ;
double d = (*func)(vec.X, vec.Y, vec.Z, distance, iterations);
if ((!invert && d > 0) || (invert && d == 0) ) {
if (vm->m_data[i].getContent() == CONTENT_IGNORE)
// vm->m_data[i] = (y > water_level + biome->filler) ?
// MapNode(biome->c_filler) : n_stone;
vm->m_data[i] = n_stone;
} else if (y <= water_level) {
vm->m_data[i] = n_water_source;
} else {
vm->m_data[i] = n_air;
}
vm->m_area.add_y(em, i, 1);
}
}
}
#endif
#if 0
// mandelbulber, unfinished but works
sFractal par;
par.doubles.N = 10;
par.doubles.power = 9.0;
par.doubles.foldingSphericalFixed = 1.0;
par.doubles.foldingSphericalMin = 0.5;
//no par.formula = smoothMandelbox; par.doubles.N = 40; invert = 0;//no
par.mandelbox.doubles.sharpness = 3.0;
par.mandelbox.doubles.scale = 1;
par.mandelbox.doubles.sharpness = 2;
par.mandelbox.doubles.foldingLimit = 1.0;
par.mandelbox.doubles.foldingValue = 2;
//ok par.formula = mandelboxVaryScale4D; par.doubles.N = 50; scale = 5; invert = 1; //ok
par.mandelbox.doubles.vary4D.scaleVary = 0.1;
par.mandelbox.doubles.vary4D.fold = 1;
par.mandelbox.doubles.vary4D.rPower = 1;
par.mandelbox.doubles.vary4D.minR = 0.5;
par.mandelbox.doubles.vary4D.wadd = 0;
par.doubles.constantFactor = 1.0;
par.formula = menger_sponge; par.doubles.N = 15; invert = 0; size = 30000; center = v3f(-size / 2, -size + (-2 * -invert), 2); scale = (double)1 / size; //ok
//double tresh = 1.5;
//par.formula = mandelbulb2; par.doubles.N = 10; scale = (double)1/size; invert=1; center = v3f(5,-size-5,0); //ok
//par.formula = hypercomplex; par.doubles.N = 20; scale = 0.0001; invert=1; center = v3f(0,-10001,0); //(double)50 / max_r;
//no par.formula = trig_DE; par.doubles.N = 5; scale = (double)10; invert=1;
//no par.formula = trig_optim; scale = (double)10; par.doubles.N = 4;
//par.formula = mandelbulb2; scale = (double)1/10000; par.doubles.N = 10; invert = 1; center = v3f(1,-4201,1); //ok
// no par.formula = tglad;
//par.formula = xenodreambuie; par.juliaMode = 1; par.doubles.julia.x = -1; par.doubles.power = 2.0; center=v3f(-size/2,-size/2-5,5); //ok
par.mandelbox.doubles.vary4D.scaleVary = 0.1;
par.mandelbox.doubles.vary4D.fold = 1;
par.mandelbox.doubles.vary4D.minR = 0.5;
par.mandelbox.doubles.vary4D.rPower = 1;
par.mandelbox.doubles.vary4D.wadd = 0;
//no par.formula = mandelboxVaryScale4D;
par.doubles.cadd = -1.3;
//par.formula = aexion; // ok but center
//par.formula = benesi; par.doubles.N = 10; center = v3f(0,0,0); invert = 0; //ok
// par.formula = bristorbrot; //ok
v3f vec0(node_min.X, node_min.Y, node_min.Z);
vec0 = (vec0 - center) * scale ;
errorstream << " X=" << node_min.X << " Y=" << node_min.Y << " Z=" << node_min.Z
<< " N=" << Compute<normal>(CVector3(vec0.X, vec0.Y, vec0.Z), par)
//<<" F="<< Compute<fake_AO>(CVector3(node_min.X,node_min.Y,node_min.Z), par)
//<<" L="<<node_min.getLength()<< " -="<<node_min.getLength() - Compute<normal>(CVector3(node_min.X,node_min.Y,node_min.Z), par)
<< " Sc=" << scale
<< std::endl;
for (s16 z = node_min.Z; z <= node_max.Z; z++)
for (s16 y = node_min.Y; y <= node_max.Y; y++) {
u32 i = vm->m_area.index(node_min.X, y, z);
for (s16 x = node_min.X; x <= node_max.X; x++) {
v3f vec(x, y, z);
vec = (vec - center) * scale ;
//double d = Compute<fake_AO>(CVector3(x,y,z), par);
double d = Compute<normal>(CVector3(vec.X, vec.Y, vec.Z), par);
//if (d>0)
// errorstream << " d=" << d <<" v="<< vec.getLength()<< " -="<< vec.getLength() - d <<" yad="
//<< Compute<normal>(CVector3(x,y,z), par)
//<< std::endl;
if ((!invert && d > 0) || (invert && d == 0)/*&& vec.getLength() - d > tresh*/ ) {
if (vm->m_data[i].getContent() == CONTENT_IGNORE)
vm->m_data[i] = n_stone;
} else {
vm->m_data[i] = n_air;
}
i++;
}
}
#endif
return 0;
}
int MapgenMath::getGroundLevelAtPoint(v2s16 p) {
return 0;
}