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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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