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godot/tests/test_math.cpp

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/*************************************************************************/
/* test_math.cpp */
/*************************************************************************/
/* This file is part of: */
/* GODOT ENGINE */
/* https://godotengine.org */
/*************************************************************************/
/* Copyright (c) 2007-2020 Juan Linietsky, Ariel Manzur. */
/* Copyright (c) 2014-2020 Godot Engine contributors (cf. AUTHORS.md). */
/* */
/* Permission is hereby granted, free of charge, to any person obtaining */
/* a copy of this software and associated documentation files (the */
/* "Software"), to deal in the Software without restriction, including */
/* without limitation the rights to use, copy, modify, merge, publish, */
/* distribute, sublicense, and/or sell copies of the Software, and to */
/* permit persons to whom the Software is furnished to do so, subject to */
/* the following conditions: */
/* */
/* The above copyright notice and this permission notice shall be */
/* included in all copies or substantial portions of the Software. */
/* */
/* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, */
/* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF */
/* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.*/
/* IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY */
/* CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, */
/* TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE */
/* SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. */
/*************************************************************************/
#include "test_math.h"
#include "core/math/basis.h"
#include "core/math/camera_matrix.h"
#include "core/math/delaunay_3d.h"
#include "core/math/geometry_2d.h"
#include "core/math/math_funcs.h"
#include "core/math/transform.h"
#include "core/method_ptrcall.h"
#include "core/os/file_access.h"
#include "core/os/keyboard.h"
#include "core/os/os.h"
#include "core/print_string.h"
#include "core/ustring.h"
#include "core/variant.h"
#include "core/vmap.h"
#include "scene/main/node.h"
#include "scene/resources/texture.h"
#include "servers/rendering/shader_language.h"
namespace TestMath {
class GetClassAndNamespace {
String code;
int idx;
int line;
String error_str;
bool error;
Variant value;
String class_name;
enum Token {
TK_BRACKET_OPEN,
TK_BRACKET_CLOSE,
TK_CURLY_BRACKET_OPEN,
TK_CURLY_BRACKET_CLOSE,
TK_PERIOD,
TK_COLON,
TK_COMMA,
TK_SYMBOL,
TK_IDENTIFIER,
TK_STRING,
TK_NUMBER,
TK_EOF,
TK_ERROR
};
Token get_token() {
while (true) {
switch (code[idx]) {
case '\n': {
line++;
idx++;
break;
};
case 0: {
return TK_EOF;
} break;
case '{': {
idx++;
return TK_CURLY_BRACKET_OPEN;
};
case '}': {
idx++;
return TK_CURLY_BRACKET_CLOSE;
};
case '[': {
idx++;
return TK_BRACKET_OPEN;
};
case ']': {
idx++;
return TK_BRACKET_CLOSE;
};
case ':': {
idx++;
return TK_COLON;
};
case ',': {
idx++;
return TK_COMMA;
};
case '.': {
idx++;
return TK_PERIOD;
};
case '#': {
//compiler directive
while (code[idx] != '\n' && code[idx] != 0) {
idx++;
}
continue;
} break;
case '/': {
switch (code[idx + 1]) {
case '*': { // block comment
idx += 2;
while (true) {
if (code[idx] == 0) {
error_str = "Unterminated comment";
error = true;
return TK_ERROR;
} else if (code[idx] == '*' && code[idx + 1] == '/') {
idx += 2;
break;
} else if (code[idx] == '\n') {
line++;
}
idx++;
}
} break;
case '/': { // line comment skip
while (code[idx] != '\n' && code[idx] != 0) {
idx++;
}
} break;
default: {
value = "/";
idx++;
return TK_SYMBOL;
}
}
continue; // a comment
} break;
case '\'':
case '"': {
char32_t begin_str = code[idx];
idx++;
String tk_string = String();
while (true) {
if (code[idx] == 0) {
error_str = "Unterminated String";
error = true;
return TK_ERROR;
} else if (code[idx] == begin_str) {
idx++;
break;
} else if (code[idx] == '\\') {
//escaped characters...
idx++;
char32_t next = code[idx];
if (next == 0) {
error_str = "Unterminated String";
error = true;
return TK_ERROR;
}
char32_t res = 0;
switch (next) {
case 'b':
res = 8;
break;
case 't':
res = 9;
break;
case 'n':
res = 10;
break;
case 'f':
res = 12;
break;
case 'r':
res = 13;
break;
case '\"':
res = '\"';
break;
case '\\':
res = '\\';
break;
default: {
res = next;
} break;
}
tk_string += res;
} else {
if (code[idx] == '\n') {
line++;
}
tk_string += code[idx];
}
idx++;
}
value = tk_string;
return TK_STRING;
} break;
default: {
if (code[idx] <= 32) {
idx++;
break;
}
if ((code[idx] >= 33 && code[idx] <= 47) || (code[idx] >= 58 && code[idx] <= 64) || (code[idx] >= 91 && code[idx] <= 96) || (code[idx] >= 123 && code[idx] <= 127)) {
value = String::chr(code[idx]);
idx++;
return TK_SYMBOL;
}
if (code[idx] == '-' || (code[idx] >= '0' && code[idx] <= '9')) {
//a number
const char32_t *rptr;
double number = String::to_float(&code[idx], &rptr);
idx += (rptr - &code[idx]);
value = number;
return TK_NUMBER;
} else if ((code[idx] >= 'A' && code[idx] <= 'Z') || (code[idx] >= 'a' && code[idx] <= 'z') || code[idx] > 127) {
String id;
while ((code[idx] >= 'A' && code[idx] <= 'Z') || (code[idx] >= 'a' && code[idx] <= 'z') || code[idx] > 127) {
id += code[idx];
idx++;
}
value = id;
return TK_IDENTIFIER;
} else {
error_str = "Unexpected character.";
error = true;
return TK_ERROR;
}
}
}
}
}
public:
Error parse(const String &p_code, const String &p_known_class_name = String()) {
code = p_code;
idx = 0;
line = 0;
error_str = String();
error = false;
value = Variant();
class_name = String();
bool use_next_class = false;
Token tk = get_token();
Map<int, String> namespace_stack;
int curly_stack = 0;
while (!error || tk != TK_EOF) {
if (tk == TK_BRACKET_OPEN) {
tk = get_token();
if (tk == TK_IDENTIFIER && String(value) == "ScriptClass") {
if (get_token() == TK_BRACKET_CLOSE) {
use_next_class = true;
}
}
} else if (tk == TK_IDENTIFIER && String(value) == "class") {
tk = get_token();
if (tk == TK_IDENTIFIER) {
String name = value;
if (use_next_class || p_known_class_name == name) {
for (Map<int, String>::Element *E = namespace_stack.front(); E; E = E->next()) {
class_name += E->get() + ".";
}
class_name += String(value);
break;
}
}
} else if (tk == TK_IDENTIFIER && String(value) == "namespace") {
String name;
int at_level = curly_stack;
while (true) {
tk = get_token();
if (tk == TK_IDENTIFIER) {
name += String(value);
}
tk = get_token();
if (tk == TK_PERIOD) {
name += ".";
} else if (tk == TK_CURLY_BRACKET_OPEN) {
curly_stack++;
break;
} else {
break; //whathever else
}
}
if (name != String()) {
namespace_stack[at_level] = name;
}
} else if (tk == TK_CURLY_BRACKET_OPEN) {
curly_stack++;
} else if (tk == TK_CURLY_BRACKET_CLOSE) {
curly_stack--;
if (namespace_stack.has(curly_stack)) {
namespace_stack.erase(curly_stack);
}
}
tk = get_token();
}
if (error) {
return ERR_PARSE_ERROR;
}
return OK;
}
String get_error() {
return error_str;
}
String get_class() {
return class_name;
}
};
void test_vec(Plane p_vec) {
CameraMatrix cm;
cm.set_perspective(45, 1, 0, 100);
Plane v0 = cm.xform4(p_vec);
print_line("out: " + v0);
v0.normal.z = (v0.d / 100.0 * 2.0 - 1.0) * v0.d;
print_line("out_F: " + v0);
}
uint32_t ihash(uint32_t a) {
a = (a + 0x7ed55d16) + (a << 12);
a = (a ^ 0xc761c23c) ^ (a >> 19);
a = (a + 0x165667b1) + (a << 5);
a = (a + 0xd3a2646c) ^ (a << 9);
a = (a + 0xfd7046c5) + (a << 3);
a = (a ^ 0xb55a4f09) ^ (a >> 16);
return a;
}
uint32_t ihash2(uint32_t a) {
a = (a ^ 61) ^ (a >> 16);
a = a + (a << 3);
a = a ^ (a >> 4);
a = a * 0x27d4eb2d;
a = a ^ (a >> 15);
return a;
}
uint32_t ihash3(uint32_t a) {
a = (a + 0x479ab41d) + (a << 8);
a = (a ^ 0xe4aa10ce) ^ (a >> 5);
a = (a + 0x9942f0a6) - (a << 14);
a = (a ^ 0x5aedd67d) ^ (a >> 3);
a = (a + 0x17bea992) + (a << 7);
return a;
}
MainLoop *test() {
{
Vector<Vector3> points;
points.push_back(Vector3(0, 0, 0));
points.push_back(Vector3(0, 0, 1));
points.push_back(Vector3(0, 1, 0));
points.push_back(Vector3(0, 1, 1));
points.push_back(Vector3(1, 1, 0));
points.push_back(Vector3(1, 0, 0));
points.push_back(Vector3(1, 0, 1));
points.push_back(Vector3(1, 1, 1));
for (int i = 0; i < 800; i++) {
points.push_back(Vector3(Math::randf() * 2.0 - 1.0, Math::randf() * 2.0 - 1.0, Math::randf() * 2.0 - 1.0) * Vector3(25, 30, 33));
}
Vector<Delaunay3D::OutputSimplex> os = Delaunay3D::tetrahedralize(points);
print_line("simplices in the end: " + itos(os.size()));
for (int i = 0; i < os.size(); i++) {
print_line("Simplex " + itos(i) + ": ");
print_line(points[os[i].points[0]]);
print_line(points[os[i].points[1]]);
print_line(points[os[i].points[2]]);
print_line(points[os[i].points[3]]);
}
{
FileAccessRef f = FileAccess::open("res://bsp.obj", FileAccess::WRITE);
for (int i = 0; i < os.size(); i++) {
f->store_line("o Simplex" + itos(i));
for (int j = 0; j < 4; j++) {
f->store_line(vformat("v %f %f %f", points[os[i].points[j]].x, points[os[i].points[j]].y, points[os[i].points[j]].z));
}
static const int face_order[4][3] = {
{ 1, 2, 3 },
{ 1, 3, 4 },
{ 1, 2, 4 },
{ 2, 3, 4 }
};
for (int j = 0; j < 4; j++) {
f->store_line(vformat("f %d %d %d", 4 * i + face_order[j][0], 4 * i + face_order[j][1], 4 * i + face_order[j][2]));
}
}
f->close();
}
return nullptr;
}
{
float r = 1;
float g = 0.5;
float b = 0.1;
const float pow2to9 = 512.0f;
const float B = 15.0f;
const float N = 9.0f;
float sharedexp = 65408.000f;
float cRed = MAX(0.0f, MIN(sharedexp, r));
float cGreen = MAX(0.0f, MIN(sharedexp, g));
float cBlue = MAX(0.0f, MIN(sharedexp, b));
float cMax = MAX(cRed, MAX(cGreen, cBlue));
float expp = MAX(-B - 1.0f, floor(Math::log(cMax) / Math_LN2)) + 1.0f + B;
float sMax = (float)floor((cMax / Math::pow(2.0f, expp - B - N)) + 0.5f);
float exps = expp + 1.0f;
if (0.0 <= sMax && sMax < pow2to9) {
exps = expp;
}
float sRed = Math::floor((cRed / pow(2.0f, exps - B - N)) + 0.5f);
float sGreen = Math::floor((cGreen / pow(2.0f, exps - B - N)) + 0.5f);
float sBlue = Math::floor((cBlue / pow(2.0f, exps - B - N)) + 0.5f);
print_line("R: " + rtos(sRed) + " G: " + rtos(sGreen) + " B: " + rtos(sBlue) + " EXP: " + rtos(exps));
uint32_t rgbe = (Math::fast_ftoi(sRed) & 0x1FF) | ((Math::fast_ftoi(sGreen) & 0x1FF) << 9) | ((Math::fast_ftoi(sBlue) & 0x1FF) << 18) | ((Math::fast_ftoi(exps) & 0x1F) << 27);
float rb = rgbe & 0x1ff;
float gb = (rgbe >> 9) & 0x1ff;
float bb = (rgbe >> 18) & 0x1ff;
float eb = (rgbe >> 27);
float mb = Math::pow(2.0, eb - 15.0 - 9.0);
float rd = rb * mb;
float gd = gb * mb;
float bd = bb * mb;
print_line("RGBE: " + Color(rd, gd, bd));
}
Vector<int> ints;
ints.resize(20);
{
int *w;
w = ints.ptrw();
for (int i = 0; i < ints.size(); i++) {
w[i] = i;
}
}
Vector<int> posho = ints;
{
const int *r = posho.ptr();
for (int i = 0; i < posho.size(); i++) {
print_line(itos(i) + " : " + itos(r[i]));
}
}
List<String> cmdlargs = OS::get_singleton()->get_cmdline_args();
if (cmdlargs.empty()) {
//try editor!
return nullptr;
}
String test = cmdlargs.back()->get();
if (test == "math") {
// Not a file name but the test name, abort.
// FIXME: This test is ugly as heck, needs fixing :)
return nullptr;
}
FileAccess *fa = FileAccess::open(test, FileAccess::READ);
ERR_FAIL_COND_V_MSG(!fa, nullptr, "Could not open file: " + test);
Vector<uint8_t> buf;
int flen = fa->get_len();
buf.resize(fa->get_len() + 1);
fa->get_buffer(buf.ptrw(), flen);
buf.write[flen] = 0;
String code;
code.parse_utf8((const char *)&buf[0]);
GetClassAndNamespace getclass;
if (getclass.parse(code)) {
print_line("Parse error: " + getclass.get_error());
} else {
print_line("Found class: " + getclass.get_class());
}
{
Vector<int> hashes;
List<StringName> tl;
ClassDB::get_class_list(&tl);
for (List<StringName>::Element *E = tl.front(); E; E = E->next()) {
Vector<uint8_t> m5b = E->get().operator String().md5_buffer();
hashes.push_back(hashes.size());
}
for (int i = nearest_shift(hashes.size()); i < 20; i++) {
bool success = true;
for (int s = 0; s < 10000; s++) {
Set<uint32_t> existing;
success = true;
for (int j = 0; j < hashes.size(); j++) {
uint32_t eh = ihash2(ihash3(hashes[j] + ihash(s) + s)) & ((1 << i) - 1);
if (existing.has(eh)) {
success = false;
break;
}
existing.insert(eh);
}
if (success) {
print_line("success at " + itos(i) + "/" + itos(nearest_shift(hashes.size())) + " shift " + itos(s));
break;
}
}
if (success) {
break;
}
}
print_line("DONE");
}
{
print_line("NUM: " + itos(-128));
}
{
Vector3 v(1, 2, 3);
v.normalize();
float a = 0.3;
Basis m(v, a);
Vector3 v2(7, 3, 1);
v2.normalize();
float a2 = 0.8;
Basis m2(v2, a2);
Quat q = m;
Quat q2 = m2;
Basis m3 = m.inverse() * m2;
Quat q3 = (q.inverse() * q2); //.normalized();
print_line(Quat(m3));
print_line(q3);
print_line("before v: " + v + " a: " + rtos(a));
q.get_axis_angle(v, a);
print_line("after v: " + v + " a: " + rtos(a));
}
String ret;
List<String> args;
args.push_back("-l");
Error err = OS::get_singleton()->execute("/bin/ls", args, true, nullptr, &ret);
print_line("error: " + itos(err));
print_line(ret);
Basis m3;
m3.rotate(Vector3(1, 0, 0), 0.2);
m3.rotate(Vector3(0, 1, 0), 1.77);
m3.rotate(Vector3(0, 0, 1), 212);
Basis m32;
m32.set_euler(m3.get_euler());
print_line("ELEULEEEEEEEEEEEEEEEEEER: " + m3.get_euler() + " vs " + m32.get_euler());
{
Dictionary d;
d["momo"] = 1;
Dictionary b = d;
b["44"] = 4;
}
print_line("inters: " + rtos(Geometry2D::segment_intersects_circle(Vector2(-5, 0), Vector2(-2, 0), Vector2(), 1.0)));
print_line("cross: " + Vector3(1, 2, 3).cross(Vector3(4, 5, 7)));
print_line("dot: " + rtos(Vector3(1, 2, 3).dot(Vector3(4, 5, 7))));
print_line("abs: " + Vector3(-1, 2, -3).abs());
print_line("distance_to: " + rtos(Vector3(1, 2, 3).distance_to(Vector3(4, 5, 7))));
print_line("distance_squared_to: " + rtos(Vector3(1, 2, 3).distance_squared_to(Vector3(4, 5, 7))));
print_line("plus: " + (Vector3(1, 2, 3) + Vector3(Vector3(4, 5, 7))));
print_line("minus: " + (Vector3(1, 2, 3) - Vector3(Vector3(4, 5, 7))));
print_line("mul: " + (Vector3(1, 2, 3) * Vector3(Vector3(4, 5, 7))));
print_line("div: " + (Vector3(1, 2, 3) / Vector3(Vector3(4, 5, 7))));
print_line("mul scalar: " + (Vector3(1, 2, 3) * 2.0));
print_line("premul scalar: " + (2.0 * Vector3(1, 2, 3)));
print_line("div scalar: " + (Vector3(1, 2, 3) / 3.0));
print_line("length: " + rtos(Vector3(1, 2, 3).length()));
print_line("length squared: " + rtos(Vector3(1, 2, 3).length_squared()));
print_line("normalized: " + Vector3(1, 2, 3).normalized());
print_line("inverse: " + Vector3(1, 2, 3).inverse());
{
Vector3 v(4, 5, 7);
v.normalize();
print_line("normalize: " + v);
}
{
Vector3 v(4, 5, 7);
v += Vector3(1, 2, 3);
print_line("+=: " + v);
}
{
Vector3 v(4, 5, 7);
v -= Vector3(1, 2, 3);
print_line("-=: " + v);
}
{
Vector3 v(4, 5, 7);
v *= Vector3(1, 2, 3);
print_line("*=: " + v);
}
{
Vector3 v(4, 5, 7);
v /= Vector3(1, 2, 3);
print_line("/=: " + v);
}
{
Vector3 v(4, 5, 7);
v *= 2.0;
print_line("scalar *=: " + v);
}
{
Vector3 v(4, 5, 7);
v /= 2.0;
print_line("scalar /=: " + v);
}
return nullptr;
}
} // namespace TestMath
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