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virtualx-engine/main/tests/test_math.cpp
Rémi Verschelde 16f6a5b139
One Copyright Update to rule them all 
As many open source projects have started doing it, we're removing the
current year from the copyright notice, so that we don't need to bump
it every year.

It seems like only the first year of publication is technically
relevant for copyright notices, and even that seems to be something
that many companies stopped listing altogether (in a version controlled
codebase, the commits are a much better source of date of publication
than a hardcoded copyright statement).

We also now list Godot Engine contributors first as we're collectively
the current maintainers of the project, and we clarify that the
"exclusive" copyright of the co-founders covers the timespan before
opensourcing (their further contributions are included as part of Godot
Engine contributors).

Also fixed "cf." Frenchism - it's meant as "refer to / see".

Backported from #70885.
2023-01-10 15:32:59 +01:00

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/**************************************************************************/
/* test_math.cpp */
/**************************************************************************/
/* This file is part of: */
/* GODOT ENGINE */
/* https://godotengine.org */
/**************************************************************************/
/* Copyright (c) 2014-present Godot Engine contributors (see AUTHORS.md). */
/* Copyright (c) 2007-2014 Juan Linietsky, Ariel Manzur. */
/* */
/* 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/math_funcs.h"
#include "core/math/transform.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/visual/shader_language.h"
#include "core/method_ptrcall.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 '"': {
CharType 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++;
CharType next = code[idx];
if (next == 0) {
error_str = "Unterminated String";
error = true;
return TK_ERROR;
}
CharType 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 CharType *rptr;
double number = String::to_double(&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; //whatever 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() {
{
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, eb - 15.0 - 9.0);
float rd = rb * mb;
float gd = gb * mb;
float bd = bb * mb;
print_line("RGBE: " + Color(rd, gd, bd));
}
print_line("Dvectors: " + itos(MemoryPool::allocs_used));
print_line("Mem used: " + itos(MemoryPool::total_memory));
print_line("MAx mem used: " + itos(MemoryPool::max_memory));
PoolVector<int> ints;
ints.resize(20);
{
PoolVector<int>::Write w;
w = ints.write();
for (int i = 0; i < ints.size(); i++) {
w[i] = i;
}
}
PoolVector<int> posho = ints;
{
PoolVector<int>::Read r = posho.read();
for (int i = 0; i < posho.size(); i++) {
print_line(itos(i) + " : " + itos(r[i]));
}
}
print_line("later Dvectors: " + itos(MemoryPool::allocs_used));
print_line("later Mem used: " + itos(MemoryPool::total_memory));
print_line("Mlater Ax mem used: " + itos(MemoryPool::max_memory));
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;
uint64_t 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(Geometry::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));
print_line("premul scalar: " + (2 * 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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