diff options
| -rw-r--r-- | .clang-format | 212 | ||||
| -rw-r--r-- | .gitignore | 8 | ||||
| -rw-r--r-- | CMakeLists.txt | 21 | ||||
| -rw-r--r-- | src/carModel.h | 104 | ||||
| -rw-r--r-- | src/city.c | 336 | ||||
| -rw-r--r-- | src/cityModel.h | 958 | ||||
| -rw-r--r-- | src/cityTexture.h | 8890 | ||||
| -rw-r--r-- | src/small3dlib.h | 2945 |
8 files changed, 13474 insertions, 0 deletions
diff --git a/.clang-format b/.clang-format new file mode 100644 index 0000000..0cd8217 --- /dev/null +++ b/.clang-format @@ -0,0 +1,212 @@ +--- +Language: Cpp +# BasedOnStyle: Chromium +AccessModifierOffset: -1 +AlignAfterOpenBracket: Align +AlignArrayOfStructures: None +AlignConsecutiveMacros: None +AlignConsecutiveAssignments: None +AlignConsecutiveBitFields: None +AlignConsecutiveDeclarations: None +AlignEscapedNewlines: Left +AlignOperands: Align +AlignTrailingComments: true +AllowAllArgumentsOnNextLine: true +AllowAllConstructorInitializersOnNextLine: true +AllowAllParametersOfDeclarationOnNextLine: false +AllowShortEnumsOnASingleLine: true +AllowShortBlocksOnASingleLine: Never +AllowShortCaseLabelsOnASingleLine: false +AllowShortFunctionsOnASingleLine: Inline +AllowShortLambdasOnASingleLine: All +AllowShortIfStatementsOnASingleLine: Never +AllowShortLoopsOnASingleLine: false +AlwaysBreakAfterDefinitionReturnType: None +AlwaysBreakAfterReturnType: None +AlwaysBreakBeforeMultilineStrings: true +AlwaysBreakTemplateDeclarations: Yes +AttributeMacros: + - __capability +BinPackArguments: true +BinPackParameters: false +BraceWrapping: + AfterCaseLabel: false + AfterClass: false + AfterControlStatement: Never + AfterEnum: false + AfterFunction: false + AfterNamespace: false + AfterObjCDeclaration: false + AfterStruct: false + AfterUnion: false + AfterExternBlock: false + BeforeCatch: false + BeforeElse: false + BeforeLambdaBody: false + BeforeWhile: false + IndentBraces: false + SplitEmptyFunction: true + SplitEmptyRecord: true + SplitEmptyNamespace: true +BreakBeforeBinaryOperators: None +BreakBeforeConceptDeclarations: true +BreakBeforeBraces: Attach +BreakBeforeInheritanceComma: false +BreakInheritanceList: BeforeColon +BreakBeforeTernaryOperators: true +BreakConstructorInitializersBeforeComma: false +BreakConstructorInitializers: BeforeColon +BreakAfterJavaFieldAnnotations: false +BreakStringLiterals: true +ColumnLimit: 80 +CommentPragmas: '^ IWYU pragma:' +CompactNamespaces: false +ConstructorInitializerAllOnOneLineOrOnePerLine: true +ConstructorInitializerIndentWidth: 4 +ContinuationIndentWidth: 4 +Cpp11BracedListStyle: true +DeriveLineEnding: true +DerivePointerAlignment: false +DisableFormat: false +EmptyLineAfterAccessModifier: Never +EmptyLineBeforeAccessModifier: LogicalBlock +ExperimentalAutoDetectBinPacking: false +FixNamespaceComments: true +ForEachMacros: + - foreach + - Q_FOREACH + - BOOST_FOREACH +IfMacros: + - KJ_IF_MAYBE +IncludeBlocks: Preserve +IncludeCategories: + - Regex: '^<ext/.*\.h>' + Priority: 2 + SortPriority: 0 + CaseSensitive: false + - Regex: '^<.*\.h>' + Priority: 1 + SortPriority: 0 + CaseSensitive: false + - Regex: '^<.*' + Priority: 2 + SortPriority: 0 + CaseSensitive: false + - Regex: '.*' + Priority: 3 + SortPriority: 0 + CaseSensitive: false +IncludeIsMainRegex: '([-_](test|unittest))?$' +IncludeIsMainSourceRegex: '' +IndentAccessModifiers: false +IndentCaseLabels: true +IndentCaseBlocks: false +IndentGotoLabels: true +IndentPPDirectives: None +IndentExternBlock: AfterExternBlock +IndentRequires: false +IndentWidth: 4 +IndentWrappedFunctionNames: false +InsertTrailingCommas: None +JavaScriptQuotes: Leave +JavaScriptWrapImports: true +KeepEmptyLinesAtTheStartOfBlocks: false +LambdaBodyIndentation: Signature +MacroBlockBegin: '' +MacroBlockEnd: '' +MaxEmptyLinesToKeep: 1 +NamespaceIndentation: None +ObjCBinPackProtocolList: Never +ObjCBlockIndentWidth: 2 +ObjCBreakBeforeNestedBlockParam: true +ObjCSpaceAfterProperty: false +ObjCSpaceBeforeProtocolList: true +PenaltyBreakAssignment: 2 +PenaltyBreakBeforeFirstCallParameter: 1 +PenaltyBreakComment: 300 +PenaltyBreakFirstLessLess: 120 +PenaltyBreakString: 1000 +PenaltyBreakTemplateDeclaration: 10 +PenaltyExcessCharacter: 1000000 +PenaltyReturnTypeOnItsOwnLine: 200 +PenaltyIndentedWhitespace: 0 +PointerAlignment: Left +PPIndentWidth: -1 +RawStringFormats: + - Language: Cpp + Delimiters: + - cc + - CC + - cpp + - Cpp + - CPP + - 'c++' + - 'C++' + CanonicalDelimiter: '' + BasedOnStyle: google + - Language: TextProto + Delimiters: + - pb + - PB + - proto + - PROTO + EnclosingFunctions: + - EqualsProto + - EquivToProto + - PARSE_PARTIAL_TEXT_PROTO + - PARSE_TEST_PROTO + - PARSE_TEXT_PROTO + - ParseTextOrDie + - ParseTextProtoOrDie + - ParseTestProto + - ParsePartialTestProto + CanonicalDelimiter: pb + BasedOnStyle: google +ReferenceAlignment: Pointer +ReflowComments: true +ShortNamespaceLines: 1 +SortIncludes: CaseSensitive +SortJavaStaticImport: Before +SortUsingDeclarations: true +SpaceAfterCStyleCast: false +SpaceAfterLogicalNot: false +SpaceAfterTemplateKeyword: true +SpaceBeforeAssignmentOperators: true +SpaceBeforeCaseColon: false +SpaceBeforeCpp11BracedList: false +SpaceBeforeCtorInitializerColon: true +SpaceBeforeInheritanceColon: true +SpaceBeforeParens: ControlStatements +SpaceAroundPointerQualifiers: Default +SpaceBeforeRangeBasedForLoopColon: true +SpaceInEmptyBlock: false +SpaceInEmptyParentheses: false +SpacesBeforeTrailingComments: 2 +SpacesInAngles: Never +SpacesInConditionalStatement: false +SpacesInContainerLiterals: true +SpacesInCStyleCastParentheses: false +SpacesInLineCommentPrefix: + Minimum: 1 + Maximum: -1 +SpacesInParentheses: false +SpacesInSquareBrackets: false +SpaceBeforeSquareBrackets: false +BitFieldColonSpacing: Both +Standard: Auto +StatementAttributeLikeMacros: + - Q_EMIT +StatementMacros: + - Q_UNUSED + - QT_REQUIRE_VERSION +TabWidth: 8 +UseCRLF: false +UseTab: Never +WhitespaceSensitiveMacros: + - STRINGIZE + - PP_STRINGIZE + - BOOST_PP_STRINGIZE + - NS_SWIFT_NAME + - CF_SWIFT_NAME +... + diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..76e6b32 --- /dev/null +++ b/.gitignore @@ -0,0 +1,8 @@ +.DS_Store +.idea +*.log +tmp/ + + +.ccls* +build* diff --git a/CMakeLists.txt b/CMakeLists.txt new file mode 100644 index 0000000..2228b39 --- /dev/null +++ b/CMakeLists.txt @@ -0,0 +1,21 @@ +cmake_minimum_required(VERSION 3.15) +project(wip-shooter) + +find_package(SDL2 REQUIRED) # Requires at least version 3.0 +include_directories(${SDL2_INCLUDE_DIRS}) + +set(CMAKE_C_STANDARD 11) # Requires C11 standard + +set (CMAKE_CXX_STANDARD 17) + +add_executable(${PROJECT_NAME} + src/city.c) + +target_link_libraries(${PROJECT_NAME} ${SDL2_LIBRARIES}) + +# Checks if OSX and links appropriate frameworks (only required on MacOS) +if (APPLE) + target_link_libraries(${PROJECT_NAME} "-framework IOKit") + target_link_libraries(${PROJECT_NAME} "-framework Cocoa") + target_link_libraries(${PROJECT_NAME} "-framework OpenGL") +endif() diff --git a/src/carModel.h b/src/carModel.h new file mode 100644 index 0000000..7d8138f --- /dev/null +++ b/src/carModel.h @@ -0,0 +1,104 @@ +#ifndef CAR_MODEL_H +#define CAR_MODEL_H + +#define CAR_VERTEX_COUNT 12 +const S3L_Unit carVertices[CAR_VERTEX_COUNT * 3] = { + -51, 14, -108, // 0 + -31, 103, -92, // 3 + -31, 103, -3, // 6 + 51, 14, -108, // 9 + 31, 103, -92, // 12 + 31, 103, -3, // 15 + -48, 59, 31, // 18 + 48, 59, 31, // 21 + -40, 52, 86, // 24 + -44, 14, 86, // 27 + 44, 14, 86, // 30 + 40, 52, 86 // 33 +}; // carVertices + +#define CAR_TRIANGLE_COUNT 18 +const S3L_Index carTriangleIndices[CAR_TRIANGLE_COUNT * 3] = { + 4, 3, 5, // 0 + 2, 7, 6, // 3 + 1, 0, 4, // 6 + 7, 5, 3, // 9 + 2, 4, 5, // 12 + 2, 0, 1, // 15 + 9, 6, 8, // 18 + 7, 8, 6, // 21 + 3, 4, 0, // 24 + 9, 11, 10, // 27 + 7, 3, 10, // 30 + 0, 6, 9, // 33 + 6, 0, 2, // 36 + 10, 11, 7, // 39 + 2, 5, 7, // 42 + 2, 1, 4, // 45 + 7, 11, 8, // 48 + 9, 8, 11 // 51 +}; // carTriangleIndices + +#define CAR_UV_COUNT 24 +const S3L_Unit carUVs[CAR_UV_COUNT * 2] = { + 451, 476, // 0 + 459, 509, // 2 + 422, 477, // 4 + 422, 476, // 6 + 409, 451, // 8 + 409, 476, // 10 + 451, 476, // 12 + 484, 476, // 14 + 451, 451, // 16 + 409, 492, // 18 + 422, 451, // 20 + 422, 477, // 22 + 459, 509, // 24 + 451, 476, // 26 + 398, 509, // 28 + 409, 492, // 30 + 398, 493, // 32 + 397, 476, // 34 + 484, 451, // 36 + 386, 476, // 38 + 397, 451, // 40 + 386, 451, // 42 + 398, 509, // 44 + 398, 493 // 46 +}; // carUVs + +#define CAR_UV_INDEX_COUNT 18 +const S3L_Index carUVIndices[CAR_UV_INDEX_COUNT * 3] = { + 0, 1, 2, // 0 + 3, 4, 5, // 3 + 6, 7, 8, // 6 + 9, 2, 1, // 9 + 3, 8, 10, // 12 + 11, 12, 13, // 15 + 14, 15, 16, // 18 + 4, 17, 5, // 21 + 18, 8, 7, // 24 + 19, 20, 21, // 27 + 9, 1, 22, // 30 + 12, 15, 14, // 33 + 15, 12, 11, // 36 + 22, 23, 9, // 39 + 3, 10, 4, // 42 + 3, 6, 8, // 45 + 4, 20, 17, // 48 + 19, 17, 20 // 51 +}; // carUVIndices + +S3L_Model3D carModel; + +void carModelInit() +{ + S3L_model3DInit( + carVertices, + CAR_VERTEX_COUNT, + carTriangleIndices, + CAR_TRIANGLE_COUNT, + &carModel); +} + +#endif // guard diff --git a/src/city.c b/src/city.c new file mode 100644 index 0000000..3ba25cb --- /dev/null +++ b/src/city.c @@ -0,0 +1,336 @@ +/* + Example program for small3dlib -- a GTA-like game demo. + + author: Miloslav Ciz + license: CC0 1.0 +*/ + +#include <SDL2/SDL.h> +#include <SDL2/SDL_scancode.h> +#include <stdio.h> +#include <time.h> + +#define S3L_FLAT 0 +#define S3L_NEAR_CROSS_STRATEGY 3 +#define S3L_PERSPECTIVE_CORRECTION 2 +#define S3L_SORT 0 +#define S3L_STENCIL_BUFFER 0 +#define S3L_Z_BUFFER 2 + +#define S3L_PIXEL_FUNCTION drawPixel + +#define S3L_RESOLUTION_X 1000 +#define S3L_RESOLUTION_Y 600 + +#include "small3dlib.h" + +#include "cityModel.h" +#include "cityTexture.h" +#include "carModel.h" + +#define TEXTURE_W 256 +#define TEXTURE_H 256 + +#define MAX_VELOCITY 1000 +#define ACCELERATION 700 +#define TURN_SPEED 300 +#define FRICTION 600 + +S3L_Model3D models[2]; + +const uint8_t collisionMap[8 * 10] = +{ + 1,1,1,1,1,1,1,1, + 1,1,1,1,0,0,0,1, + 1,1,1,1,0,1,0,1, + 2,2,1,0,0,0,0,3, + 1,2,1,0,1,1,3,1, + 2,0,0,0,1,1,3,3, + 1,0,1,0,0,1,1,1, + 1,0,0,0,1,1,1,1, + 1,1,1,1,1,1,1,1, + 1,1,1,1,1,1,1,1 +}; + +S3L_Scene scene; + +uint32_t pixels[S3L_RESOLUTION_X * S3L_RESOLUTION_Y]; + +uint32_t frame = 0; + +void clearScreen() +{ + uint32_t index = 0; + + for (uint16_t y = 0; y < S3L_RESOLUTION_Y; ++y) + { + S3L_Unit t = S3L_min(S3L_FRACTIONS_PER_UNIT,((y * S3L_FRACTIONS_PER_UNIT) / S3L_RESOLUTION_Y) * 4); + + uint32_t r = S3L_interpolateByUnit(200,242,t); + uint32_t g = S3L_interpolateByUnit(102,255,t); + uint32_t b = S3L_interpolateByUnit(255,230,t); + + uint32_t color = (r << 24) | (g << 16 ) | (b << 8); + + for (uint16_t x = 0; x < S3L_RESOLUTION_X; ++x) + { + pixels[index] = color; + index++; + } + } +} + +static inline void setPixel(int x, int y, uint8_t red, uint8_t green, uint8_t blue) +{ + uint8_t *p = ((uint8_t *) pixels) + (y * S3L_RESOLUTION_X + x) * 4 + 1; + + *p = blue; + ++p; + *p = green; + ++p; + *p = red; +} + +void sampleTexture(int32_t u, int32_t v, uint8_t *r, uint8_t *g, uint8_t *b) +{ + u = S3L_clamp(u,0,CITY_TEXTURE_WIDTH - 1); + v = S3L_clamp(v,0,CITY_TEXTURE_HEIGHT - 1); + + const uint8_t *t = cityTexture + (v * CITY_TEXTURE_WIDTH + u) * 3; + + *r = *t; + t++; + *g = *t; + t++; + *b = *t; +} + +uint32_t previousTriangle = -1; +S3L_Vec4 uv0, uv1, uv2; + +void drawPixel(S3L_PixelInfo *p) +{ + if (p->triangleID != previousTriangle) + { + const S3L_Index *uvIndices; + const S3L_Unit *uvs; + + if (p->modelIndex == 0) + { + uvIndices = cityUVIndices; + uvs = cityUVs; + } + else + { + uvIndices = carUVIndices; + uvs = carUVs; + } + + S3L_getIndexedTriangleValues(p->triangleIndex,uvIndices,uvs,2,&uv0,&uv1,&uv2); + + previousTriangle = p->triangleID; + } + + uint8_t r, g, b; + + S3L_Unit uv[2]; + + uv[0] = S3L_interpolateBarycentric(uv0.x,uv1.x,uv2.x,p->barycentric); + uv[1] = S3L_interpolateBarycentric(uv0.y,uv1.y,uv2.y,p->barycentric); + + sampleTexture(uv[0] >> 1,uv[1] >> 1,&r,&g,&b); + + setPixel(p->x,p->y,r,g,b); +} + +void draw() +{ + S3L_newFrame(); + clearScreen(); + S3L_drawScene(scene); +} + +static inline uint8_t collision(S3L_Vec4 worldPosition) +{ + worldPosition.x /= S3L_FRACTIONS_PER_UNIT; + worldPosition.z /= -S3L_FRACTIONS_PER_UNIT; + + uint16_t index = worldPosition.z * 8 + worldPosition.x; + + return collisionMap[index]; +} + +static inline void handleCollision(S3L_Vec4 *pos, S3L_Vec4 previousPos) +{ + S3L_Vec4 newPos = *pos; + newPos.x = previousPos.x; + + if (collision(newPos)) + { + newPos = *pos; + newPos.z = previousPos.z; + + if (collision(newPos)) + newPos = previousPos; + } + + *pos = newPos; +} + +int16_t fps = 0; + +int main() +{ + SDL_Window *window = SDL_CreateWindow("city demo", SDL_WINDOWPOS_UNDEFINED, SDL_WINDOWPOS_UNDEFINED, S3L_RESOLUTION_X, S3L_RESOLUTION_Y, SDL_WINDOW_SHOWN); + SDL_Renderer *renderer = SDL_CreateRenderer(window,-1,0); + SDL_Texture *textureSDL = SDL_CreateTexture(renderer,SDL_PIXELFORMAT_RGBX8888, SDL_TEXTUREACCESS_STATIC, S3L_RESOLUTION_X, S3L_RESOLUTION_Y); + SDL_Surface *screenSurface = SDL_GetWindowSurface(window); + SDL_Event event; + + cityModelInit(); + carModelInit(); + + models[0] = cityModel; + models[1] = carModel; + + S3L_sceneInit(models,2,&scene); + + S3L_transform3DSet(1909,16,-3317,0,-510,0,512,512,512,&(models[1].transform)); + + int running = 1; + + clock_t nextPrintT; + + nextPrintT = clock(); + + S3L_Vec4 carDirection; + + S3L_vec4Init(&carDirection); + + scene.camera.transform.translation.x = 0; + scene.camera.transform.translation.y = S3L_FRACTIONS_PER_UNIT / 4; + scene.camera.transform.rotation.x = 1; + + int16_t velocity = 0; + + while (running) // main loop + { + clock_t frameStartT = clock(); + + models[1].transform.rotation.y += models[1].transform.rotation.z; // overturn the car for the rendering + + draw(); + + models[1].transform.rotation.y -= models[1].transform.rotation.z; // turn the car back for the physics + + fps++; + + SDL_UpdateTexture(textureSDL,NULL,pixels,S3L_RESOLUTION_X * sizeof(uint32_t)); + + clock_t nowT = clock(); + + double timeDiff = ((double) (nowT - nextPrintT)) / CLOCKS_PER_SEC; + double frameDiff = ((double) (nowT - frameStartT)) / CLOCKS_PER_SEC; + int16_t frameDiffMs = frameDiff * 1000; + + if (timeDiff >= 1.0) + { + nextPrintT = nowT; + printf("FPS: %d\n",fps); + fps = 0; + } + + while (SDL_PollEvent(&event)) + if (event.type == SDL_QUIT) + running = 0; + + const uint8_t *state = SDL_GetKeyboardState(NULL); + + int16_t step = (velocity * frameDiffMs) / 1000; + int16_t stepFriction = (FRICTION * frameDiffMs) / 1000; + int16_t stepRotation = TURN_SPEED * frameDiffMs * S3L_max(0,velocity - 200) / (MAX_VELOCITY * 1000); + + int16_t stepVelocity = S3L_nonZero((ACCELERATION * frameDiffMs) / 1000); + + if (stepRotation == 0 && S3L_abs(velocity) >= 200) + stepRotation = 1; + + if (velocity < 0) + stepRotation *= -1; + + if (state[SDL_SCANCODE_LEFT] || state[SDL_SCANCODE_A]) + { + models[1].transform.rotation.y += stepRotation; + models[1].transform.rotation.z = + S3L_min(S3L_abs(velocity) / 64, models[1].transform.rotation.z + 1); + } + else if (state[SDL_SCANCODE_RIGHT] || state[SDL_SCANCODE_D]) + { + models[1].transform.rotation.y -= stepRotation; + models[1].transform.rotation.z = + S3L_max(-S3L_abs(velocity) / 64, models[1].transform.rotation.z - 1); + } + else + models[1].transform.rotation.z = (models[1].transform.rotation.z * 3) / 4; + + S3L_rotationToDirections(models[1].transform.rotation,S3L_FRACTIONS_PER_UNIT,&carDirection,0,0); + + S3L_Vec4 previousCarPos = models[1].transform.translation; + + int16_t friction = 0; + + if (state[SDL_SCANCODE_UP] || state[SDL_SCANCODE_W]) + velocity = S3L_min(MAX_VELOCITY,velocity + (velocity < 0 ? (2 * stepVelocity) : stepVelocity)); + else if (state[SDL_SCANCODE_DOWN] || state[SDL_SCANCODE_S]) + velocity = S3L_max(-MAX_VELOCITY,velocity - (velocity > 0 ? (2 * stepVelocity) : stepVelocity)); + else + friction = 1; + + models[1].transform.translation.x += (carDirection.x * step) / S3L_FRACTIONS_PER_UNIT; + models[1].transform.translation.z += (carDirection.z * step) / S3L_FRACTIONS_PER_UNIT; + + uint8_t coll = collision(models[1].transform.translation); + + if (coll != 0) + { + if (coll == 1) + { + handleCollision(&(models[1].transform.translation),previousCarPos); + friction = 2; + } + else if (coll == 2) + { + // teleport the car + models[1].transform.translation.x += 5 * S3L_FRACTIONS_PER_UNIT; + models[1].transform.translation.z += 2 * S3L_FRACTIONS_PER_UNIT; + } + else + { + // teleport the car + models[1].transform.translation.x -= 5 * S3L_FRACTIONS_PER_UNIT; + models[1].transform.translation.z -= 2 * S3L_FRACTIONS_PER_UNIT; + } + } + + if (velocity > 0) + velocity = S3L_max(0,velocity - stepFriction * friction); + else + velocity = S3L_min(0,velocity + stepFriction * friction); + + scene.camera.transform.translation.x = + scene.models[1].transform.translation.x - (carDirection.x) / S3L_FRACTIONS_PER_UNIT; + + scene.camera.transform.translation.z = + scene.models[1].transform.translation.z - (carDirection.z) / S3L_FRACTIONS_PER_UNIT; + + scene.camera.transform.rotation.y = models[1].transform.rotation.y; + + SDL_RenderClear(renderer); + SDL_RenderCopy(renderer,textureSDL,NULL,NULL); + SDL_RenderPresent(renderer); + + frame++; + } + + return 0; +} diff --git a/src/cityModel.h b/src/cityModel.h new file mode 100644 index 0000000..9208de6 --- /dev/null +++ b/src/cityModel.h @@ -0,0 +1,958 @@ +#ifndef CITY_MODEL_H +#define CITY_MODEL_H + +#define CITY_VERTEX_COUNT 155 +const S3L_Unit cityVertices[CITY_VERTEX_COUNT * 3] = { + 0, 2, -2048, // 0 + -512, 2, -1536, // 3 + -1024, 2, -2560, // 6 + -1024, 2, -3072, // 9 + -1024, 2, -3584, // 12 + -512, 2, -3072, // 15 + -512, 2, -2560, // 18 + 512, 2, -1536, // 21 + 512, 2, -2048, // 24 + 1024, 2, -1536, // 27 + 512, 2, -2560, // 30 + 0, 2, -2560, // 33 + 563, 889, -1996, // 36 + 563, 889, -2611, // 39 + -51, 889, -2611, // 42 + -238, 790, -3072, // 45 + 512, 792, -3072, // 48 + -1024, 388, -3072, // 51 + -1024, 388, -3584, // 54 + 512, 388, -1536, // 57 + 1024, 388, -1536, // 60 + -512, 698, -1536, // 63 + -1024, 698, -2560, // 66 + -1024, 388, -2560, // 69 + -512, 698, -2560, // 72 + 512, 698, -1536, // 75 + 512, 407, -938, // 78 + 512, 698, -938, // 81 + -512, 148, -3072, // 84 + -238, 148, -3072, // 87 + -512, 148, -3347, // 90 + -1372, 297, -2017, // 93 + -1145, 297, -1737, // 96 + -1395, 1403, -2044, // 99 + -1122, 1403, -1709, // 102 + 2560, 2, -1024, // 105 + 2048, 2, -512, // 108 + 1024, 2, -3072, // 111 + 1024, 2, -3584, // 114 + 512, 2, -4096, // 117 + 1024, 2, -4096, // 120 + 2048, 2, -3584, // 123 + 2048, 2, -4096, // 126 + 1536, 2, -3584, // 129 + 1536, 2, -3072, // 132 + 1024, 2, -2560, // 135 + 512, 2, -3072, // 138 + 1536, 2, -1536, // 141 + 1536, 2, -2048, // 144 + 1536, 2, -2560, // 147 + 2048, 2, -2048, // 150 + 2048, 2, -1536, // 153 + 3072, 2, -512, // 156 + 3072, 2, -1024, // 159 + 3584, 2, -512, // 162 + 3072, 2, -2048, // 165 + 2560, 2, -1536, // 168 + 2560, 2, -3072, // 171 + 2560, 2, -3584, // 174 + 2048, 2, -3072, // 177 + 998, 155, -3046, // 180 + 998, 155, -3609, // 183 + 1561, 155, -3609, // 186 + 1561, 155, -3046, // 189 + 2508, 889, -972, // 192 + 3123, 889, -972, // 195 + 3123, 889, -1587, // 198 + 2508, 889, -1587, // 201 + 1024, 316, -4096, // 204 + 2048, 316, -4096, // 207 + 512, 792, -4096, // 210 + 1024, 298, -4710, // 213 + 2321, 790, -2048, // 216 + 3072, 792, -2048, // 219 + 2048, 790, -3072, // 222 + 512, 792, -4710, // 225 + 1280, 297, -3328, // 228 + 2560, 790, -3072, // 231 + 2560, 259, -3072, // 234 + 2560, 259, -3584, // 237 + 1024, 388, -2560, // 240 + 1536, 388, -2048, // 243 + 1536, 388, -2560, // 246 + 3072, 388, -512, // 249 + 3584, 388, -512, // 252 + 2048, 698, -512, // 255 + 1536, 698, -1536, // 258 + 1536, 388, -1536, // 261 + 2048, 698, -1536, // 264 + 3072, 698, -512, // 267 + 3072, 407, 85, // 270 + 3072, 698, 85, // 273 + 1536, 698, -647, // 276 + 1536, 388, -647, // 279 + 2048, 148, -2048, // 282 + 2321, 148, -2048, // 285 + 2048, 148, -2323, // 288 + 2048, 790, -2323, // 291 + 2048, 1484, -3584, // 294 + 2048, 1227, -4096, // 297 + 2560, 1484, -3584, // 300 + 2443, -253, -5243, // 303 + 2721, -253, -4712, // 306 + 2443, 1078, -5243, // 309 + 2721, 1078, -4712, // 312 + 1187, 297, -993, // 315 + 1414, 297, -713, // 318 + 1177, 1403, -1022, // 321 + 1450, 1403, -687, // 324 + 1055, 297, -700, // 327 + 1019, 1403, -671, // 330 + 3584, 2, -2048, // 333 + 3584, 2, -2560, // 336 + 3072, 2, -3072, // 339 + 3584, 2, -3072, // 342 + 4608, 2, -2560, // 345 + 4608, 2, -3072, // 348 + 4096, 2, -2560, // 351 + 4096, 2, -2048, // 354 + 3584, 2, -1536, // 357 + 3072, 2, -1536, // 360 + 4096, 2, -1536, // 363 + 4608, 2, -1024, // 366 + 5120, 2, -2048, // 369 + 5120, 2, -2560, // 372 + 4608, 2, -2048, // 375 + 3558, 155, -2022, // 378 + 3558, 155, -2585, // 381 + 4121, 155, -2022, // 384 + 3584, 316, -3072, // 387 + 4608, 316, -3072, // 390 + 3072, 792, -3072, // 393 + 4881, 790, -1024, // 396 + 4608, 790, -2048, // 399 + 3840, 297, -2304, // 402 + 5120, 259, -2048, // 405 + 5120, 259, -2560, // 408 + 3584, 388, -1536, // 411 + 4096, 388, -1536, // 414 + 4881, 148, -1024, // 417 + 4608, 148, -1299, // 420 + 4608, 790, -1299, // 423 + 4608, 1484, -2560, // 426 + 4608, 1227, -3072, // 429 + 5120, 1484, -2560, // 432 + 5003, -253, -4219, // 435 + 5281, -253, -3688, // 438 + 5003, 1078, -4219, // 441 + 5281, 1078, -3688, // 444 + 3747, 297, 30, // 447 + 3974, 297, 310, // 450 + 3737, 1403, 1, // 453 + 4010, 1403, 336, // 456 + 3615, 297, 323, // 459 + 3579, 1403, 352 // 462 +}; // cityVertices + +#define CITY_TRIANGLE_COUNT 197 +const S3L_Index cityTriangleIndices[CITY_TRIANGLE_COUNT * 3] = { + 0, 1, 6, // 0 + 2, 3, 5, // 3 + 5, 3, 4, // 6 + 11, 5, 46, // 9 + 0, 6, 11, // 12 + 1, 0, 7, // 15 + 8, 45, 9, // 18 + 8, 10, 45, // 21 + 46, 10, 11, // 24 + 5, 11, 6, // 27 + 0, 8, 7, // 30 + 8, 9, 7, // 33 + 5, 6, 2, // 36 + 11, 13, 14, // 39 + 10, 8, 12, // 42 + 3, 18, 4, // 45 + 9, 19, 7, // 48 + 9, 45, 80, // 51 + 1, 7, 19, // 54 + 22, 23, 24, // 57 + 19, 21, 1, // 60 + 1, 24, 6, // 63 + 25, 21, 19, // 66 + 2, 23, 17, // 69 + 24, 23, 6, // 72 + 2, 17, 3, // 75 + 25, 26, 27, // 78 + 6, 23, 2, // 81 + 29, 28, 30, // 84 + 28, 29, 5, // 87 + 5, 29, 46, // 90 + 46, 29, 16, // 93 + 29, 15, 16, // 96 + 3, 17, 18, // 99 + 1, 21, 24, // 102 + 11, 10, 13, // 105 + 10, 12, 13, // 108 + 9, 20, 19, // 111 + 9, 80, 20, // 114 + 25, 19, 26, // 117 + 34, 31, 32, // 120 + 34, 33, 31, // 123 + 35, 36, 51, // 126 + 38, 46, 39, // 129 + 40, 38, 39, // 132 + 42, 41, 43, // 135 + 43, 40, 42, // 138 + 41, 59, 43, // 141 + 45, 37, 44, // 144 + 10, 46, 37, // 147 + 47, 48, 50, // 150 + 49, 59, 50, // 153 + 50, 48, 49, // 156 + 56, 50, 55, // 159 + 35, 51, 56, // 162 + 36, 35, 52, // 165 + 53, 119, 54, // 168 + 53, 120, 119, // 171 + 55, 120, 56, // 174 + 59, 44, 43, // 177 + 59, 49, 44, // 180 + 50, 56, 51, // 183 + 35, 53, 52, // 186 + 53, 54, 52, // 189 + 50, 51, 47, // 192 + 40, 43, 38, // 195 + 38, 37, 46, // 198 + 37, 45, 10, // 201 + 44, 49, 45, // 204 + 57, 59, 41, // 207 + 41, 58, 57, // 210 + 44, 37, 60, // 213 + 37, 38, 61, // 216 + 62, 43, 44, // 219 + 43, 61, 38, // 222 + 62, 63, 76, // 225 + 56, 66, 67, // 228 + 56, 64, 35, // 231 + 120, 53, 65, // 234 + 35, 65, 53, // 237 + 40, 69, 42, // 240 + 98, 79, 41, // 243 + 68, 70, 75, // 246 + 39, 46, 16, // 249 + 39, 70, 68, // 252 + 39, 68, 40, // 255 + 60, 76, 63, // 258 + 41, 79, 58, // 261 + 78, 74, 59, // 264 + 58, 78, 57, // 267 + 96, 97, 95, // 270 + 45, 49, 82, // 273 + 48, 82, 49, // 276 + 54, 83, 52, // 279 + 54, 119, 137, // 282 + 36, 52, 83, // 285 + 86, 87, 88, // 288 + 83, 85, 36, // 291 + 36, 88, 51, // 294 + 89, 85, 83, // 297 + 47, 87, 81, // 300 + 88, 87, 51, // 303 + 47, 81, 48, // 306 + 89, 90, 91, // 309 + 51, 87, 47, // 312 + 87, 86, 92, // 315 + 76, 60, 61, // 318 + 61, 62, 76, // 321 + 74, 97, 96, // 324 + 96, 59, 74, // 327 + 57, 78, 59, // 330 + 59, 96, 50, // 333 + 94, 50, 96, // 336 + 95, 94, 96, // 339 + 94, 95, 50, // 342 + 50, 95, 55, // 345 + 55, 95, 73, // 348 + 95, 72, 73, // 351 + 97, 72, 95, // 354 + 42, 69, 41, // 357 + 69, 98, 41, // 360 + 40, 68, 69, // 363 + 68, 75, 71, // 366 + 45, 82, 80, // 369 + 48, 81, 82, // 372 + 39, 16, 70, // 375 + 36, 85, 88, // 378 + 87, 92, 93, // 381 + 56, 120, 66, // 384 + 56, 67, 64, // 387 + 120, 65, 66, // 390 + 35, 64, 65, // 393 + 98, 100, 79, // 396 + 58, 79, 78, // 399 + 78, 77, 74, // 402 + 98, 69, 99, // 405 + 44, 60, 63, // 408 + 37, 61, 60, // 411 + 62, 44, 63, // 414 + 43, 62, 61, // 417 + 54, 84, 83, // 420 + 54, 137, 84, // 423 + 89, 83, 90, // 426 + 101, 104, 102, // 429 + 101, 103, 104, // 432 + 108, 105, 106, // 435 + 110, 105, 107, // 438 + 108, 107, 105, // 441 + 110, 109, 105, // 444 + 112, 55, 113, // 447 + 114, 112, 113, // 450 + 117, 114, 116, // 453 + 115, 125, 117, // 456 + 119, 111, 118, // 459 + 120, 55, 111, // 462 + 121, 125, 122, // 465 + 125, 118, 117, // 468 + 125, 121, 118, // 471 + 114, 117, 112, // 474 + 112, 111, 55, // 477 + 111, 119, 120, // 480 + 118, 121, 119, // 483 + 123, 125, 115, // 486 + 115, 124, 123, // 489 + 118, 111, 126, // 492 + 111, 112, 127, // 495 + 114, 130, 116, // 498 + 142, 136, 115, // 501 + 113, 55, 73, // 504 + 113, 131, 129, // 507 + 113, 129, 114, // 510 + 126, 134, 128, // 513 + 115, 136, 124, // 516 + 124, 135, 123, // 519 + 140, 141, 139, // 522 + 119, 121, 138, // 525 + 134, 126, 127, // 528 + 133, 141, 140, // 531 + 140, 125, 133, // 534 + 125, 140, 122, // 537 + 141, 132, 139, // 540 + 116, 130, 115, // 543 + 130, 142, 115, // 546 + 114, 129, 130, // 549 + 119, 138, 137, // 552 + 113, 73, 131, // 555 + 142, 144, 136, // 558 + 124, 136, 135, // 561 + 142, 130, 143, // 564 + 118, 126, 128, // 567 + 111, 127, 126, // 570 + 145, 148, 146, // 573 + 145, 147, 148, // 576 + 152, 149, 150, // 579 + 154, 149, 151, // 582 + 152, 151, 149, // 585 + 154, 153, 149 // 588 +}; // cityTriangleIndices + +#define CITY_UV_COUNT 377 +const S3L_Unit cityUVs[CITY_UV_COUNT * 2] = { + 125, 125, // 0 + 1, 1, // 2 + 1, 249, // 4 + 2, 1, // 6 + 2, 126, // 8 + 126, 126, // 10 + 2, 262, // 12 + 126, 262, // 14 + 126, 386, // 16 + 126, 387, // 18 + 2, 511, // 20 + 2, 262, // 22 + 125, 249, // 24 + 1, 2, // 26 + 125, 126, // 28 + 1, 251, // 30 + 126, 125, // 32 + 2, 249, // 34 + 2, 1, // 36 + 126, 249, // 38 + 126, 262, // 40 + 126, 511, // 42 + 125, 251, // 44 + 126, 1, // 46 + 126, 1, // 48 + 258, 253, // 50 + 386, 1, // 52 + 258, 1, // 54 + 260, 253, // 56 + 405, 253, // 58 + 405, 2, // 60 + 253, 511, // 62 + 130, 386, // 64 + 130, 511, // 66 + 381, 508, // 68 + 256, 386, // 70 + 256, 508, // 72 + 130, 509, // 74 + 380, 509, // 76 + 380, 386, // 78 + 258, 253, // 80 + 510, 253, // 82 + 510, 114, // 84 + 354, 3, // 86 + 354, 115, // 88 + 510, 3, // 90 + 258, 3, // 92 + 507, 252, // 94 + 255, 2, // 96 + 255, 252, // 98 + 510, 3, // 100 + 376, 511, // 102 + 376, 386, // 104 + 253, 386, // 106 + 510, 254, // 108 + 258, 3, // 110 + 475, 112, // 112 + 475, 3, // 114 + 354, 254, // 116 + 245, 319, // 118 + 190, 264, // 120 + 135, 319, // 122 + 509, 209, // 124 + 443, 209, // 126 + 509, 253, // 128 + 259, 253, // 130 + 259, 16, // 132 + 443, 16, // 134 + 507, 2, // 136 + 386, 253, // 138 + 260, 2, // 140 + 381, 386, // 142 + 130, 386, // 144 + 258, 112, // 146 + 509, 352, // 148 + 261, 259, // 150 + 261, 352, // 152 + 509, 259, // 154 + 125, 125, // 156 + 1, 1, // 158 + 1, 249, // 160 + 127, 125, // 162 + 3, 249, // 164 + 3, 1, // 166 + 127, 1, // 168 + 1, 2, // 170 + 125, 2, // 172 + 125, 126, // 174 + 1, 250, // 176 + 125, 254, // 178 + 125, 129, // 180 + 1, 254, // 182 + 126, 128, // 184 + 1, 128, // 186 + 1, 252, // 188 + 130, 1, // 190 + 130, 125, // 192 + 254, 125, // 194 + 2, 1, // 196 + 2, 126, // 198 + 126, 126, // 200 + 126, 386, // 202 + 2, 510, // 204 + 2, 262, // 206 + 2, 262, // 208 + 126, 262, // 210 + 126, 386, // 212 + 126, 387, // 214 + 2, 511, // 216 + 2, 262, // 218 + 125, 249, // 220 + 1, 2, // 222 + 125, 126, // 224 + 1, 251, // 226 + 126, 125, // 228 + 2, 249, // 230 + 2, 1, // 232 + 126, 249, // 234 + 126, 262, // 236 + 1, 129, // 238 + 126, 510, // 240 + 126, 511, // 242 + 125, 251, // 244 + 126, 1, // 246 + 126, 1, // 248 + 125, 250, // 250 + 127, 249, // 252 + 254, 1, // 254 + 126, 252, // 256 + 253, 130, // 258 + 129, 130, // 260 + 129, 254, // 262 + 253, 254, // 264 + 387, 448, // 266 + 508, 448, // 268 + 508, 386, // 270 + 387, 446, // 272 + 508, 446, // 274 + 508, 388, // 276 + 385, 390, // 278 + 385, 446, // 280 + 510, 446, // 282 + 511, 447, // 284 + 386, 388, // 286 + 386, 447, // 288 + 254, 259, // 290 + 131, 259, // 292 + 192, 321, // 294 + 258, 253, // 296 + 386, 1, // 298 + 258, 1, // 300 + 510, 252, // 302 + 385, 2, // 304 + 385, 252, // 306 + 260, 253, // 308 + 405, 253, // 310 + 405, 2, // 312 + 510, 254, // 314 + 384, 0, // 316 + 384, 254, // 318 + 381, 511, // 320 + 131, 434, // 322 + 131, 511, // 324 + 510, 350, // 326 + 302, 261, // 328 + 259, 350, // 330 + 221, 324, // 332 + 221, 257, // 334 + 163, 257, // 336 + 259, 252, // 338 + 511, 252, // 340 + 511, 15, // 342 + 259, 352, // 344 + 404, 352, // 346 + 317, 258, // 348 + 259, 258, // 350 + 130, 259, // 352 + 191, 320, // 354 + 253, 259, // 356 + 259, 261, // 358 + 259, 176, // 360 + 414, 16, // 362 + 414, 254, // 364 + 253, 382, // 366 + 129, 327, // 368 + 129, 382, // 370 + 477, 210, // 372 + 477, 15, // 374 + 354, 210, // 376 + 222, 509, // 378 + 352, 509, // 380 + 352, 386, // 382 + 253, 511, // 384 + 130, 386, // 386 + 130, 511, // 388 + 381, 508, // 390 + 256, 386, // 392 + 256, 508, // 394 + 130, 509, // 396 + 380, 509, // 398 + 380, 386, // 400 + 258, 253, // 402 + 510, 253, // 404 + 510, 114, // 406 + 354, 3, // 408 + 354, 115, // 410 + 510, 3, // 412 + 258, 3, // 414 + 507, 252, // 416 + 255, 2, // 418 + 255, 252, // 420 + 510, 3, // 422 + 376, 511, // 424 + 376, 386, // 426 + 253, 386, // 428 + 510, 254, // 430 + 258, 3, // 432 + 475, 112, // 434 + 475, 3, // 436 + 354, 254, // 438 + 509, 117, // 440 + 509, 2, // 442 + 259, 2, // 444 + 191, 321, // 446 + 254, 258, // 448 + 128, 258, // 450 + 252, 259, // 452 + 131, 259, // 454 + 192, 320, // 456 + 260, 16, // 458 + 442, 16, // 460 + 442, 211, // 462 + 260, 255, // 464 + 259, 254, // 466 + 509, 255, // 468 + 509, 211, // 470 + 245, 319, // 472 + 190, 264, // 474 + 135, 319, // 476 + 509, 209, // 478 + 443, 209, // 480 + 509, 253, // 482 + 259, 253, // 484 + 259, 16, // 486 + 443, 16, // 488 + 354, 15, // 490 + 260, 350, // 492 + 312, 350, // 494 + 260, 264, // 496 + 509, 264, // 498 + 381, 434, // 500 + 163, 324, // 502 + 222, 386, // 504 + 259, 15, // 506 + 507, 2, // 508 + 259, 117, // 510 + 386, 253, // 512 + 510, 2, // 514 + 260, 2, // 516 + 510, 0, // 518 + 510, 261, // 520 + 253, 327, // 522 + 259, 16, // 524 + 466, 350, // 526 + 387, 386, // 528 + 387, 388, // 530 + 510, 390, // 532 + 511, 388, // 534 + 381, 386, // 536 + 130, 386, // 538 + 258, 112, // 540 + 509, 251, // 542 + 351, 1, // 544 + 351, 251, // 546 + 509, 1, // 548 + 509, 352, // 550 + 261, 259, // 552 + 261, 352, // 554 + 509, 260, // 556 + 261, 351, // 558 + 509, 351, // 560 + 509, 259, // 562 + 261, 260, // 564 + 127, 125, // 566 + 3, 249, // 568 + 3, 1, // 570 + 127, 1, // 572 + 125, 126, // 574 + 1, 250, // 576 + 1, 2, // 578 + 125, 254, // 580 + 125, 129, // 582 + 1, 254, // 584 + 126, 128, // 586 + 1, 128, // 588 + 1, 252, // 590 + 130, 1, // 592 + 130, 125, // 594 + 254, 125, // 596 + 126, 386, // 598 + 2, 510, // 600 + 2, 262, // 602 + 1, 129, // 604 + 126, 510, // 606 + 125, 250, // 608 + 127, 249, // 610 + 254, 1, // 612 + 126, 252, // 614 + 253, 130, // 616 + 129, 130, // 618 + 129, 254, // 620 + 253, 254, // 622 + 387, 448, // 624 + 508, 448, // 626 + 508, 386, // 628 + 387, 446, // 630 + 508, 446, // 632 + 508, 388, // 634 + 381, 511, // 636 + 131, 434, // 638 + 131, 511, // 640 + 510, 350, // 642 + 302, 261, // 644 + 259, 350, // 646 + 259, 252, // 648 + 511, 252, // 650 + 511, 15, // 652 + 259, 352, // 654 + 404, 352, // 656 + 317, 258, // 658 + 259, 258, // 660 + 130, 259, // 662 + 191, 320, // 664 + 253, 259, // 666 + 259, 261, // 668 + 253, 382, // 670 + 129, 327, // 672 + 129, 382, // 674 + 477, 210, // 676 + 477, 15, // 678 + 354, 210, // 680 + 222, 509, // 682 + 352, 509, // 684 + 352, 386, // 686 + 191, 321, // 688 + 254, 258, // 690 + 128, 258, // 692 + 260, 16, // 694 + 442, 16, // 696 + 442, 211, // 698 + 260, 255, // 700 + 509, 255, // 702 + 354, 15, // 704 + 260, 350, // 706 + 312, 350, // 708 + 260, 264, // 710 + 509, 264, // 712 + 381, 434, // 714 + 222, 386, // 716 + 259, 15, // 718 + 510, 261, // 720 + 253, 327, // 722 + 466, 350, // 724 + 387, 386, // 726 + 387, 388, // 728 + 509, 251, // 730 + 351, 1, // 732 + 351, 251, // 734 + 509, 1, // 736 + 509, 352, // 738 + 261, 259, // 740 + 261, 352, // 742 + 509, 260, // 744 + 261, 351, // 746 + 509, 351, // 748 + 509, 259, // 750 + 261, 260 // 752 +}; // cityUVs + +#define CITY_UV_INDEX_COUNT 197 +const S3L_Index cityUVIndices[CITY_UV_INDEX_COUNT * 3] = { + 0, 1, 2, // 0 + 3, 4, 5, // 3 + 6, 7, 8, // 6 + 9, 10, 11, // 9 + 0, 2, 12, // 12 + 13, 14, 15, // 15 + 16, 17, 18, // 18 + 16, 19, 17, // 21 + 11, 20, 9, // 24 + 10, 9, 21, // 27 + 14, 22, 15, // 30 + 16, 18, 23, // 33 + 5, 24, 3, // 36 + 25, 26, 27, // 39 + 28, 29, 30, // 42 + 31, 32, 33, // 45 + 34, 35, 36, // 48 + 37, 38, 39, // 51 + 40, 41, 42, // 54 + 43, 44, 45, // 57 + 42, 46, 40, // 60 + 47, 48, 49, // 63 + 50, 46, 42, // 66 + 51, 52, 53, // 69 + 45, 44, 54, // 72 + 51, 53, 31, // 75 + 55, 56, 57, // 78 + 54, 44, 58, // 81 + 59, 60, 61, // 84 + 62, 63, 64, // 87 + 64, 63, 65, // 90 + 65, 63, 66, // 93 + 63, 67, 66, // 96 + 31, 53, 32, // 99 + 47, 68, 48, // 102 + 25, 69, 26, // 105 + 28, 30, 70, // 108 + 34, 71, 35, // 111 + 37, 39, 72, // 114 + 55, 73, 56, // 117 + 74, 75, 76, // 120 + 74, 77, 75, // 123 + 78, 79, 80, // 126 + 81, 82, 83, // 129 + 84, 81, 83, // 132 + 85, 86, 87, // 135 + 87, 88, 85, // 138 + 89, 90, 91, // 141 + 92, 93, 94, // 144 + 95, 96, 97, // 147 + 98, 99, 100, // 150 + 101, 102, 103, // 153 + 104, 105, 106, // 156 + 107, 108, 109, // 159 + 78, 80, 110, // 162 + 111, 112, 113, // 165 + 114, 115, 116, // 168 + 114, 117, 115, // 171 + 109, 118, 107, // 174 + 90, 119, 91, // 177 + 102, 101, 120, // 180 + 108, 107, 121, // 183 + 112, 122, 113, // 186 + 114, 116, 123, // 189 + 100, 124, 98, // 192 + 88, 87, 125, // 195 + 81, 126, 82, // 198 + 97, 127, 95, // 201 + 94, 128, 92, // 204 + 129, 130, 131, // 207 + 131, 132, 129, // 210 + 133, 134, 135, // 213 + 136, 137, 138, // 216 + 139, 140, 141, // 219 + 142, 143, 144, // 222 + 145, 146, 147, // 225 + 148, 149, 150, // 228 + 151, 152, 153, // 231 + 154, 155, 156, // 234 + 157, 158, 159, // 237 + 160, 161, 162, // 240 + 163, 164, 165, // 243 + 166, 167, 168, // 246 + 169, 170, 171, // 249 + 172, 173, 174, // 252 + 172, 174, 175, // 255 + 176, 177, 178, // 258 + 165, 164, 179, // 261 + 180, 181, 182, // 264 + 183, 184, 185, // 267 + 186, 187, 188, // 270 + 189, 190, 191, // 273 + 192, 193, 194, // 276 + 195, 196, 197, // 279 + 198, 199, 200, // 282 + 201, 202, 203, // 285 + 204, 205, 206, // 288 + 203, 207, 201, // 291 + 208, 209, 210, // 294 + 211, 207, 203, // 297 + 212, 213, 214, // 300 + 206, 205, 215, // 303 + 212, 214, 192, // 306 + 216, 217, 218, // 309 + 215, 205, 219, // 312 + 220, 221, 222, // 315 + 223, 224, 225, // 318 + 226, 227, 228, // 321 + 229, 230, 231, // 324 + 231, 232, 229, // 327 + 233, 180, 182, // 330 + 232, 231, 234, // 333 + 235, 234, 231, // 336 + 236, 237, 238, // 339 + 239, 240, 241, // 342 + 241, 240, 242, // 345 + 242, 240, 243, // 348 + 240, 244, 243, // 351 + 187, 245, 188, // 354 + 246, 247, 248, // 357 + 247, 249, 248, // 360 + 160, 250, 161, // 363 + 166, 168, 251, // 366 + 189, 191, 252, // 369 + 192, 214, 193, // 372 + 169, 171, 253, // 375 + 208, 254, 209, // 378 + 220, 222, 255, // 381 + 148, 256, 149, // 384 + 151, 257, 152, // 387 + 154, 156, 258, // 390 + 157, 259, 158, // 393 + 163, 260, 164, // 396 + 183, 261, 184, // 399 + 180, 262, 181, // 402 + 249, 247, 263, // 405 + 133, 135, 264, // 408 + 136, 138, 265, // 411 + 139, 141, 266, // 414 + 142, 267, 143, // 417 + 195, 268, 196, // 420 + 198, 200, 269, // 423 + 216, 270, 217, // 426 + 271, 272, 273, // 429 + 271, 274, 272, // 432 + 275, 276, 277, // 435 + 278, 279, 280, // 438 + 275, 281, 276, // 441 + 278, 282, 279, // 444 + 283, 284, 285, // 447 + 286, 283, 285, // 450 + 287, 288, 289, // 453 + 290, 291, 292, // 456 + 293, 294, 295, // 459 + 296, 297, 298, // 462 + 299, 300, 301, // 465 + 291, 302, 292, // 468 + 300, 299, 303, // 471 + 288, 287, 304, // 474 + 283, 305, 284, // 477 + 298, 306, 296, // 480 + 295, 307, 293, // 483 + 308, 309, 310, // 486 + 310, 311, 308, // 489 + 312, 313, 314, // 492 + 315, 316, 317, // 495 + 318, 319, 320, // 498 + 321, 322, 323, // 501 + 324, 325, 326, // 504 + 327, 328, 329, // 507 + 327, 329, 330, // 510 + 331, 332, 333, // 513 + 323, 322, 334, // 516 + 335, 336, 337, // 519 + 338, 339, 340, // 522 + 341, 342, 343, // 525 + 344, 345, 346, // 528 + 347, 348, 349, // 531 + 349, 350, 347, // 534 + 350, 349, 351, // 537 + 339, 352, 340, // 540 + 353, 354, 355, // 543 + 354, 356, 355, // 546 + 318, 357, 319, // 549 + 341, 343, 358, // 552 + 324, 326, 359, // 555 + 321, 360, 322, // 558 + 335, 361, 336, // 561 + 356, 354, 362, // 564 + 312, 314, 363, // 567 + 315, 317, 364, // 570 + 365, 366, 367, // 573 + 365, 368, 366, // 576 + 369, 370, 371, // 579 + 372, 373, 374, // 582 + 369, 375, 370, // 585 + 372, 376, 373 // 588 +}; // cityUVIndices + +S3L_Model3D cityModel; + +void cityModelInit() +{ + S3L_model3DInit( + cityVertices, + CITY_VERTEX_COUNT, + cityTriangleIndices, + CITY_TRIANGLE_COUNT, + &cityModel); +} + +#endif // guard diff --git a/src/cityTexture.h b/src/cityTexture.h new file mode 100644 index 0000000..176004f --- /dev/null +++ b/src/cityTexture.h @@ -0,0 +1,8890 @@ +#ifndef CITY_TEXTURE_H +#define CITY_TEXTURE_H + +#define CITY_TEXTURE_WIDTH 256 +#define CITY_TEXTURE_HEIGHT 256 + +const uint8_t cityTexture[196608] = { +35,24,34,62,46,59,38,32,37,38,23,38,37,30,41,66,47,64,41,25,44,40,29,41,39,25, +44,68,47,67,41,26,43,41,24,41,39,28,40,68,47,66,41,37,41,41,29,40,40,21,38,69, +48,73,42,26,41,41,26,43,40,28,39,69,52,66,42,36,41,41,26,41,40,33,43,69,50,66, +42,27,46,41,30,42,40,25,46,69,48,68,42,27,44,41,25,41,40,29,41,69,48,66,42,38, +41,41,25,43,40,22,41,69,48,66,42,27,43,41,25,40,40,22,39,69,48,70,42,27,41,41, +27,43,40,28,39,69,52,66,42,36,41,41,26,41,40,33,43,69,50,66,42,27,46,41,30,42, +40,25,46,69,48,68,42,27,41,41,27,43,40,28,39,69,52,66,42,36,41,41,26,41,40,33, +43,69,50,66,42,27,46,41,30,42,40,25,46,69,48,68,30,18,31,29,17,29,28,20,29,50, +34,48,43,39,42,109,107,112,74,54,72,78,58,75,124,121,126,54,31,52,24,22,40,171, 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+64,154,153,156,151,149,156,151,155,153,107,85,110,129,131,130,123,121,125,124, +125,127,93,73,95,107,108,107,98,96,100,101,102,103,111,99,86,76,109,50,76,109, +51,76,109,49,76,109,49,112,100,88,112,100,88,76,109,50,76,109,49,76,109,50,76, +109,49,76,110,51,76,109,49,76,109,49,76,109,49,76,109,49,76,109,50,76,109,49, +112,100,88,112,99,87,112,99,87,112,100,88,112,99,87,112,100,88,113,101,87,115, +102,88,71,72,72,86,86,86,85,85,85,85,85,85,85,85,85,85,85,85,85,85,85,85,85,85, +85,85,85,85,85,85,86,86,86,72,72,73,94,85,75,96,86,77,103,92,79,106,95,85,109, +96,85,75,108,49,75,109,49,76,109,49,75,108,49,75,109,49,76,109,49,76,109,50,76, +109,49,75,109,49,76,109,49,76,109,50,76,109,49,75,109,49,76,109,49,76,109,49,76, +109,49,75,108,49,76,109,49,112,100,86,111,99,87,111,99,87,112,100,86,113,101,87, +112,100,86,111,99,87,111,99,87,112,99,87,112,99,87,112,100,88,113,101,87,113, +101,87,112,100,86,112,100,86,113,100,86,132,133,133,97,97,97,99,99,99,108,99,85, +112,100,88,111,99,87,113,101,87,112,100,88,111,99,87,112,100,88,112,100,86,113, +101,87,113,101,87,113,101,87,112,102,91,113,101,87,113,101,87,112,100,88,112, +100,88,91,85,79,79,71,62,79,71,62,91,85,79,111,98,83,110,97,84,110,98,83,110,98, +83,109,97,84,109,97,84,109,97,84,110,98,83,91,85,79,79,71,62,79,71,62,91,85,79, +112,100,86,112,100,86,111,99,87,111,99,87,111,97,86,111,99,87,111,99,87,111,99, +87,110,97,86,111,99,87,111,99,87,112,100,86,111,99,87,111,99,87,112,100,86,103, +88,71,254,255,255,254,255,255,254,255,255,254,255,255,254,255,255,123,117,120, +120,9,38,121,13,41,121,13,41,120,13,41,120,13,41,120,13,41,120,13,41,121,15,41, +121,15,41,121,15,41,121,15,41,121,15,41,121,15,42,121,15,42,121,15,42,121,15,42, +121,15,42,121,15,42,121,15,41,121,15,41,120,15,41,120,15,41,120,15,41,119,15,41, +119,15,41,119,13,40,119,13,40,119,13,40,119,13,40,119,13,40,120,13,40,120,13,41, +119,7,37,249,241,241,254,255,255,254,255,255,254,255,255,254,255,255,254,255, +255,254,255,255,254,255,255,254,255,255,254,255,255,254,255,255,254,255,255,254, +255,255,254,255,255,254,255,255,254,255,255,254,255,255,254,255,255,254,255,255, +254,255,255,254,255,255,254,255,255,254,255,255,254,255,255,254,255,255 +}; // cityTexture + +#endif // guard diff --git a/src/small3dlib.h b/src/small3dlib.h new file mode 100644 index 0000000..b620295 --- /dev/null +++ b/src/small3dlib.h @@ -0,0 +1,2945 @@ +#ifndef SMALL3DLIB_H +#define SMALL3DLIB_H + +/* + Simple realtime 3D software rasterization renderer. It is fast, focused on + resource-limited computers, located in a single C header file, with no + dependencies, using only 32bit integer arithmetics. + + author: Miloslav Ciz + license: CC0 1.0 (public domain) + found at https://creativecommons.org/publicdomain/zero/1.0/ + + additional waiver of all IP + version: 0.901d + + Before including the library, define S3L_PIXEL_FUNCTION to the name of the + function you'll be using to draw single pixels (this function will be called + by the library to render the frames). Also either init S3L_resolutionX and + S3L_resolutionY or define S3L_RESOLUTION_X and S3L_RESOLUTION_Y. + + You'll also need to decide what rendering strategy and other settings you + want to use, depending on your specific usecase. You may want to use a + z-buffer (full or reduced, S3L_Z_BUFFER), sorted-drawing (S3L_SORT), or even + none of these. See the description of the options in this file. + + The rendering itself is done with S3L_drawScene, usually preceded by + S3L_newFrame (for clearing zBuffer etc.). + + The library is meant to be used in not so huge programs that use single + translation unit and so includes both declarations and implementation at once. + If you for some reason use multiple translation units (which include the + library), you'll have to handle this yourself (e.g. create a wrapper, manually + split the library into .c and .h etc.). + + -------------------- + + This work's goal is to never be encumbered by any exclusive intellectual + property rights. The work is therefore provided under CC0 1.0 + additional + WAIVER OF ALL INTELLECTUAL PROPERTY RIGHTS that waives the rest of + intellectual property rights not already waived by CC0 1.0. The WAIVER OF ALL + INTELLECTUAL PROPERTY RGHTS is as follows: + + Each contributor to this work agrees that they waive any exclusive rights, + including but not limited to copyright, patents, trademark, trade dress, + industrial design, plant varieties and trade secrets, to any and all ideas, + concepts, processes, discoveries, improvements and inventions conceived, + discovered, made, designed, researched or developed by the contributor either + solely or jointly with others, which relate to this work or result from this + work. Should any waiver of such right be judged legally invalid or + ineffective under applicable law, the contributor hereby grants to each + affected person a royalty-free, non transferable, non sublicensable, non + exclusive, irrevocable and unconditional license to this right. + + -------------------- + + CONVENTIONS: + + This library should never draw pixels outside the specified screen + boundaries, so you don't have to check this (that would cost CPU time)! + + You can safely assume that triangles are rasterized one by one and from top + down, left to right (so you can utilize e.g. various caches), and if sorting + is disabled the order of rasterization will be that specified in the scene + structure and model arrays (of course, some triangles and models may be + skipped due to culling etc.). + + Angles are in S3L_Units, a full angle (2 pi) is S3L_FRACTIONS_PER_UNITs. + + We use row vectors. + + In 3D space, a left-handed coord. system is used. One spatial unit is split + into S3L_FRACTIONS_PER_UNIT fractions (fixed point arithmetic). + + y ^ + | _ + | /| z + | / + | / + [0,0,0]-------> x + + Untransformed camera is placed at [0,0,0], looking forward along +z axis. The + projection plane is centered at [0,0,0], stretrinch from + -S3L_FRACTIONS_PER_UNIT to S3L_FRACTIONS_PER_UNIT horizontally (x), + vertical size (y) depends on the aspect ratio (S3L_RESOLUTION_X and + S3L_RESOLUTION_Y). Camera FOV is defined by focal length in S3L_Units. + + y ^ + | _ + | /| z + ____|_/__ + | |/ | + -----[0,0,0]-|-----> x + |____|____| + | + | + + Rotations use Euler angles and are generally in the extrinsic Euler angles in + ZXY order (by Z, then by X, then by Y). Positive rotation about an axis + rotates CW (clock-wise) when looking in the direction of the axis. + + Coordinates of pixels on the screen start at the top left, from [0,0]. + + There is NO subpixel accuracy (screen coordinates are only integer). + + Triangle rasterization rules are these (mostly same as OpenGL, D3D etc.): + + - Let's define: + - left side: + - not exactly horizontal, and on the left side of triangle + - exactly horizontal and above the topmost + (in other words: its normal points at least a little to the left or + completely up) + - right side: not left side + - Pixel centers are at integer coordinates and triangle for drawing are + specified with integer coordinates of pixel centers. + - A pixel is rasterized: + - if its center is inside the triangle OR + - if its center is exactly on the triangle side which is left and at the + same time is not on the side that's right (case of a triangle that's on + a single line) OR + - if its center is exactly on the triangle corner of sides neither of which + is right. + + These rules imply among others: + + - Adjacent triangles don't have any overlapping pixels, nor gaps between. + - Triangles of points that lie on a single line are NOT rasterized. + - A single "long" triangle CAN be rasterized as isolated islands of pixels. + - Transforming (e.g. mirroring, rotating by 90 degrees etc.) a result of + rasterizing triangle A is NOT generally equal to applying the same + transformation to triangle A first and then rasterizing it. Even the number + of rasterized pixels is usually different. + - If specifying a triangle with integer coordinates (which we are), then: + - The bottom-most corner (or side) of a triangle is never rasterized + (because it is connected to a right side). + - The top-most corner can only be rasterized on completely horizontal side + (otherwise it is connected to a right side). + - Vertically middle corner is rasterized if and only if it is on the left + of the triangle and at the same time is also not the bottom-most corner. +*/ + +#include <stdint.h> + +#ifdef S3L_RESOLUTION_X + #ifdef S3L_RESOLUTION_Y + #define S3L_MAX_PIXELS (S3L_RESOLUTION_X * S3L_RESOLUTION_Y) + #endif +#endif + +#ifndef S3L_RESOLUTION_X + #ifndef S3L_MAX_PIXELS + #error Dynamic resolution set (S3L_RESOLUTION_X not defined), but\ + S3L_MAX_PIXELS not defined! + #endif + + uint16_t S3L_resolutionX = 512; /**< If a static resolution is not set with + S3L_RESOLUTION_X, this variable can be + used to change X resolution at runtime, + in which case S3L_MAX_PIXELS has to be + defined (to allocate zBuffer etc.)! */ + #define S3L_RESOLUTION_X S3L_resolutionX +#endif + +#ifndef S3L_RESOLUTION_Y + #ifndef S3L_MAX_PIXELS + #error Dynamic resolution set (S3L_RESOLUTION_Y not defined), but\ + S3L_MAX_PIXELS not defined! + #endif + + uint16_t S3L_resolutionY = 512; /**< Same as S3L_resolutionX, but for Y + resolution. */ + #define S3L_RESOLUTION_Y S3L_resolutionY +#endif + +#ifndef S3L_USE_WIDER_TYPES + /** If true, the library will use wider data types which will largely supress + many rendering bugs and imprecisions happening due to overflows, but this will + also consumer more RAM and may potentially be slower on computers with smaller + native integer. */ + + #define S3L_USE_WIDER_TYPES 0 +#endif + +/** Units of measurement in 3D space. There is S3L_FRACTIONS_PER_UNIT in one +spatial unit. By dividing the unit into fractions we effectively achieve a +fixed point arithmetic. The number of fractions is a constant that serves as +1.0 in floating point arithmetic (normalization etc.). */ + +typedef +#if S3L_USE_WIDER_TYPES + int64_t +#else + int32_t +#endif + S3L_Unit; + +/** How many fractions a spatial unit is split into. This is NOT SUPPOSED TO +BE REDEFINED, so rather don't do it (otherwise things may overflow etc.). */ + +#define S3L_FRACTIONS_PER_UNIT 512 + +typedef +#if S3L_USE_WIDER_TYPES + int32_t +#else + int16_t +#endif + S3L_ScreenCoord; + +typedef +#if S3L_USE_WIDER_TYPES + uint32_t +#else + uint16_t +#endif + S3L_Index; + +#ifndef S3L_NEAR_CROSS_STRATEGY + /** Specifies how the library will handle triangles that partially cross the + near plane. These are problematic and require special handling. Possible + values: + + 0: Strictly cull any triangle crossing the near plane. This will make such + triangles disappear. This is good for performance or models viewed only + from at least small distance. + 1: Forcefully push the vertices crossing near plane in front of it. This is + a cheap technique that can be good enough for displaying simple + environments on slow devices, but texturing and geometric artifacts/warps + will appear. + 2: Geometrically correct the triangles crossing the near plane. This may + result in some triangles being subdivided into two and is a little more + expensive, but the results will be geometrically correct, even though + barycentric correction is not performed so texturing artifacts will + appear. Can be ideal with S3L_FLAT. + 3: Perform both geometrical and barycentric correction of triangle crossing + the near plane. This is significantly more expensive but results in + correct rendering. */ + + #define S3L_NEAR_CROSS_STRATEGY 0 +#endif + +#ifndef S3L_FLAT + /** If on, disables computation of per-pixel values such as barycentric + coordinates and depth -- these will still be available but will be the same + for the whole triangle. This can be used to create flat-shaded renders and + will be a lot faster. With this option on you will probably want to use + sorting instead of z-buffer. */ + + #define S3L_FLAT 0 +#endif + +#if S3L_FLAT + #define S3L_COMPUTE_DEPTH 0 + #define S3L_PERSPECTIVE_CORRECTION 0 + // don't disable z-buffer, it makes sense to use it with no sorting +#endif + +#ifndef S3L_PERSPECTIVE_CORRECTION + /** Specifies what type of perspective correction (PC) to use. Remember this + is an expensive operation! Possible values: + + 0: No perspective correction. Fastest, inaccurate from most angles. + 1: Per-pixel perspective correction, accurate but very expensive. + 2: Approximation (computing only at every S3L_PC_APPROX_LENGTHth pixel). + Quake-style approximation is used, which only computes the PC after + S3L_PC_APPROX_LENGTH pixels. This is reasonably accurate and fast. */ + + #define S3L_PERSPECTIVE_CORRECTION 0 +#endif + +#ifndef S3L_PC_APPROX_LENGTH + /** For S3L_PERSPECTIVE_CORRECTION == 2, this specifies after how many pixels + PC is recomputed. Should be a power of two to keep up the performance. + Smaller is nicer but slower. */ + + #define S3L_PC_APPROX_LENGTH 32 +#endif + +#if S3L_PERSPECTIVE_CORRECTION + #define S3L_COMPUTE_DEPTH 1 // PC inevitably computes depth, so enable it +#endif + +#ifndef S3L_COMPUTE_DEPTH + /** Whether to compute depth for each pixel (fragment). Some other options + may turn this on automatically. If you don't need depth information, turning + this off can save performance. Depth will still be accessible in + S3L_PixelInfo, but will be constant -- equal to center point depth -- over + the whole triangle. */ + #define S3L_COMPUTE_DEPTH 1 +#endif + +#ifndef S3L_Z_BUFFER + /** What type of z-buffer (depth buffer) to use for visibility determination. + Possible values: + + 0: Don't use z-buffer. This saves a lot of memory, but visibility checking + won't be pixel-accurate and has to mostly be done by other means (typically + sorting). + 1: Use full z-buffer (of S3L_Units) for visibiltiy determination. This is the + most accurate option (and also a fast one), but requires a big amount of + memory. + 2: Use reduced-size z-buffer (of bytes). This is fast and somewhat accurate, + but inaccuracies can occur and a considerable amount of memory is + needed. */ + + #define S3L_Z_BUFFER 0 +#endif + +#ifndef S3L_REDUCED_Z_BUFFER_GRANULARITY + /** For S3L_Z_BUFFER == 2 this sets the reduced z-buffer granularity. */ + + #define S3L_REDUCED_Z_BUFFER_GRANULARITY 5 +#endif + +#ifndef S3L_STENCIL_BUFFER + /** Whether to use stencil buffer for drawing -- with this a pixel that would + be resterized over an already rasterized pixel (within a frame) will be + discarded. This is mostly for front-to-back sorted drawing. */ + + #define S3L_STENCIL_BUFFER 0 +#endif + +#ifndef S3L_SORT + /** Defines how to sort triangles before drawing a frame. This can be used to + solve visibility in case z-buffer is not used, to prevent overwriting already + rasterized pixels, implement transparency etc. Note that for simplicity and + performance a relatively simple sorting is used which doesn't work completely + correctly, so mistakes can occur (even the best sorting wouldn't be able to + solve e.g. intersecting triangles). Note that sorting requires a bit of extra + memory -- an array of the triangles to sort -- the size of this array limits + the maximum number of triangles that can be drawn in a single frame + (S3L_MAX_TRIANGES_DRAWN). Possible values: + + 0: Don't sort triangles. This is fastest and doesn't use extra memory. + 1: Sort triangles from back to front. This can in most cases solve visibility + without requiring almost any extra memory compared to z-buffer. + 2: Sort triangles from front to back. This can be faster than back to front + because we prevent computing pixels that will be overwritten by nearer + ones, but we need a 1b stencil buffer for this (enable S3L_STENCIL_BUFFER), + so a bit more memory is needed. */ + + #define S3L_SORT 0 +#endif + +#ifndef S3L_MAX_TRIANGES_DRAWN + /** Maximum number of triangles that can be drawn in sorted modes. This + affects the size of the cache used for triangle sorting. */ + + #define S3L_MAX_TRIANGES_DRAWN 128 +#endif + +#ifndef S3L_NEAR + /** Distance of the near clipping plane. Points in front or EXATLY ON this + plane are considered outside the frustum. This must be >= 0. */ + + #define S3L_NEAR (S3L_FRACTIONS_PER_UNIT / 4) +#endif + +#if S3L_NEAR <= 0 +#define S3L_NEAR 1 // Can't be <= 0. +#endif + +#ifndef S3L_NORMAL_COMPUTE_MAXIMUM_AVERAGE + /** Affects the S3L_computeModelNormals function. See its description for + details. */ + + #define S3L_NORMAL_COMPUTE_MAXIMUM_AVERAGE 6 +#endif + +#ifndef S3L_FAST_LERP_QUALITY + /** Quality (scaling) of SOME (stepped) linear interpolations. 0 will most + likely be a tiny bit faster, but artifacts can occur for bigger tris, while + higher values can fix this -- in theory all higher values will have the same + speed (it is a shift value), but it mustn't be too high to prevent + overflow. */ + + #define S3L_FAST_LERP_QUALITY 11 +#endif + +/** Vector that consists of four scalars and can represent homogenous + coordinates, but is generally also used as Vec3 and Vec2 for various + purposes. */ +typedef struct +{ + S3L_Unit x; + S3L_Unit y; + S3L_Unit z; + S3L_Unit w; +} S3L_Vec4; + +#define S3L_logVec4(v)\ + printf("Vec4: %d %d %d %d\n",((v).x),((v).y),((v).z),((v).w)) + +static inline void S3L_vec4Init(S3L_Vec4 *v); +static inline void S3L_vec4Set(S3L_Vec4 *v, S3L_Unit x, S3L_Unit y, + S3L_Unit z, S3L_Unit w); +static inline void S3L_vec3Add(S3L_Vec4 *result, S3L_Vec4 added); +static inline void S3L_vec3Sub(S3L_Vec4 *result, S3L_Vec4 substracted); +S3L_Unit S3L_vec3Length(S3L_Vec4 v); + +/** Normalizes Vec3. Note that this function tries to normalize correctly + rather than quickly! If you need to normalize quickly, do it yourself in a + way that best fits your case. */ +void S3L_vec3Normalize(S3L_Vec4 *v); + +/** Like S3L_vec3Normalize, but doesn't perform any checks on the input vector, + which is faster, but can be very innacurate or overflowing. You are supposed + to provide a "nice" vector (not too big or small). */ +static inline void S3L_vec3NormalizeFast(S3L_Vec4 *v); + +S3L_Unit S3L_vec2Length(S3L_Vec4 v); +void S3L_vec3Cross(S3L_Vec4 a, S3L_Vec4 b, S3L_Vec4 *result); +static inline S3L_Unit S3L_vec3Dot(S3L_Vec4 a, S3L_Vec4 b); + +/** Computes a reflection direction (typically used e.g. for specular component + in Phong illumination). The input vectors must be normalized. The result will + be normalized as well. */ +void S3L_reflect(S3L_Vec4 toLight, S3L_Vec4 normal, S3L_Vec4 *result); + +/** Determines the winding of a triangle, returns 1 (CW, clockwise), -1 (CCW, + counterclockwise) or 0 (points lie on a single line). */ +static inline int8_t S3L_triangleWinding( + S3L_ScreenCoord x0, + S3L_ScreenCoord y0, + S3L_ScreenCoord x1, + S3L_ScreenCoord y1, + S3L_ScreenCoord x2, + S3L_ScreenCoord y2); + +typedef struct +{ + S3L_Vec4 translation; + S3L_Vec4 rotation; /**< Euler angles. Rortation is applied in this order: + 1. z = by z (roll) CW looking along z+ + 2. x = by x (pitch) CW looking along x+ + 3. y = by y (yaw) CW looking along y+ */ + S3L_Vec4 scale; +} S3L_Transform3D; + +#define S3L_logTransform3D(t)\ + printf("Transform3D: T = [%d %d %d], R = [%d %d %d], S = [%d %d %d]\n",\ + (t).translation.x,(t).translation.y,(t).translation.z,\ + (t).rotation.x,(t).rotation.y,(t).rotation.z,\ + (t).scale.x,(t).scale.y,(t).scale.z) + +static inline void S3L_transform3DInit(S3L_Transform3D *t); + +void S3L_lookAt(S3L_Vec4 pointTo, S3L_Transform3D *t); + +void S3L_transform3DSet( + S3L_Unit tx, + S3L_Unit ty, + S3L_Unit tz, + S3L_Unit rx, + S3L_Unit ry, + S3L_Unit rz, + S3L_Unit sx, + S3L_Unit sy, + S3L_Unit sz, + S3L_Transform3D *t); + +/** Converts rotation transformation to three direction vectors of given length + (any one can be NULL, in which case it won't be computed). */ +void S3L_rotationToDirections( + S3L_Vec4 rotation, + S3L_Unit length, + S3L_Vec4 *forw, + S3L_Vec4 *right, + S3L_Vec4 *up); + +/** 4x4 matrix, used mostly for 3D transforms. The indexing is this: + matrix[column][row]. */ +typedef S3L_Unit S3L_Mat4[4][4]; + +#define S3L_logMat4(m)\ + printf("Mat4:\n %d %d %d %d\n %d %d %d %d\n %d %d %d %d\n %d %d %d %d\n"\ + ,(m)[0][0],(m)[1][0],(m)[2][0],(m)[3][0],\ + (m)[0][1],(m)[1][1],(m)[2][1],(m)[3][1],\ + (m)[0][2],(m)[1][2],(m)[2][2],(m)[3][2],\ + (m)[0][3],(m)[1][3],(m)[2][3],(m)[3][3]) + +/** Initializes a 4x4 matrix to identity. */ +static inline void S3L_mat4Init(S3L_Mat4 m); + +void S3L_mat4Copy(S3L_Mat4 src, S3L_Mat4 dst); + +void S3L_mat4Transpose(S3L_Mat4 m); + +void S3L_makeTranslationMat( + S3L_Unit offsetX, + S3L_Unit offsetY, + S3L_Unit offsetZ, + S3L_Mat4 m); + +/** Makes a scaling matrix. DON'T FORGET: scale of 1.0 is set with + S3L_FRACTIONS_PER_UNIT! */ +void S3L_makeScaleMatrix( + S3L_Unit scaleX, + S3L_Unit scaleY, + S3L_Unit scaleZ, + S3L_Mat4 m); + +/** Makes a matrix for rotation in the ZXY order. */ +void S3L_makeRotationMatrixZXY( + S3L_Unit byX, + S3L_Unit byY, + S3L_Unit byZ, + S3L_Mat4 m); + +void S3L_makeWorldMatrix(S3L_Transform3D worldTransform, S3L_Mat4 m); +void S3L_makeCameraMatrix(S3L_Transform3D cameraTransform, S3L_Mat4 m); + +/** Multiplies a vector by a matrix with normalization by + S3L_FRACTIONS_PER_UNIT. Result is stored in the input vector. */ +void S3L_vec4Xmat4(S3L_Vec4 *v, S3L_Mat4 m); + +/** Same as S3L_vec4Xmat4 but faster, because this version doesn't compute the + W component of the result, which is usually not needed. */ +void S3L_vec3Xmat4(S3L_Vec4 *v, S3L_Mat4 m); + +/** Multiplies two matrices with normalization by S3L_FRACTIONS_PER_UNIT. + Result is stored in the first matrix. The result represents a transformation + that has the same effect as applying the transformation represented by m1 and + then m2 (in that order). */ +void S3L_mat4Xmat4(S3L_Mat4 m1, S3L_Mat4 m2); + +typedef struct +{ + S3L_Unit focalLength; ///< Defines the field of view (FOV). + S3L_Transform3D transform; +} S3L_Camera; + +void S3L_cameraInit(S3L_Camera *camera); + +typedef struct +{ + uint8_t backfaceCulling; /**< What backface culling to use. Possible + values: + - 0 none + - 1 clock-wise + - 2 counter clock-wise */ + int8_t visible; /**< Can be used to easily hide the model. */ +} S3L_DrawConfig; + +void S3L_drawConfigInit(S3L_DrawConfig *config); + +typedef struct +{ + const S3L_Unit *vertices; + S3L_Index vertexCount; + const S3L_Index *triangles; + S3L_Index triangleCount; + S3L_Transform3D transform; + S3L_Mat4 *customTransformMatrix; /**< This can be used to override the + transform (if != 0) with a custom + transform matrix, which is more + general. */ + S3L_DrawConfig config; +} S3L_Model3D; ///< Represents a 3D model. + +void S3L_model3DInit( + const S3L_Unit *vertices, + S3L_Index vertexCount, + const S3L_Index *triangles, + S3L_Index triangleCount, + S3L_Model3D *model); + +typedef struct +{ + S3L_Model3D *models; + S3L_Index modelCount; + S3L_Camera camera; +} S3L_Scene; ///< Represent the 3D scene to be rendered. + +void S3L_sceneInit( + S3L_Model3D *models, + S3L_Index modelCount, + S3L_Scene *scene); + +typedef struct +{ + S3L_ScreenCoord x; ///< Screen X coordinate. + S3L_ScreenCoord y; ///< Screen Y coordinate. + + S3L_Unit barycentric[3]; /**< Barycentric coords correspond to the three + vertices. These serve to locate the pixel on a + triangle and interpolate values between its + three points. Each one goes from 0 to + S3L_FRACTIONS_PER_UNIT (including), but due to + rounding error may fall outside this range (you + can use S3L_correctBarycentricCoords to fix this + for the price of some performance). The sum of + the three coordinates will always be exactly + S3L_FRACTIONS_PER_UNIT. */ + S3L_Index modelIndex; ///< Model index within the scene. + S3L_Index triangleIndex; ///< Triangle index within the model. + uint32_t triangleID; /**< Unique ID of the triangle withing the whole + scene. This can be used e.g. by a cache to + quickly find out if a triangle has changed. */ + S3L_Unit depth; ///< Depth (only if depth is turned on). + S3L_Unit previousZ; /**< Z-buffer value (not necessarily world depth in + S3L_Units!) that was in the z-buffer on the + pixels position before this pixel was + rasterized. This can be used to set the value + back, e.g. for transparency. */ + S3L_ScreenCoord triangleSize[2]; /**< Rasterized triangle width and height, + can be used e.g. for MIP mapping. */ +} S3L_PixelInfo; /**< Used to pass the info about a rasterized pixel + (fragment) to the user-defined drawing func. */ + +static inline void S3L_pixelInfoInit(S3L_PixelInfo *p); + +/** Corrects barycentric coordinates so that they exactly meet the defined + conditions (each fall into <0,S3L_FRACTIONS_PER_UNIT>, sum = + S3L_FRACTIONS_PER_UNIT). Note that doing this per-pixel can slow the program + down significantly. */ +static inline void S3L_correctBarycentricCoords(S3L_Unit barycentric[3]); + +// general helper functions +static inline S3L_Unit S3L_abs(S3L_Unit value); +static inline S3L_Unit S3L_min(S3L_Unit v1, S3L_Unit v2); +static inline S3L_Unit S3L_max(S3L_Unit v1, S3L_Unit v2); +static inline S3L_Unit S3L_clamp(S3L_Unit v, S3L_Unit v1, S3L_Unit v2); +static inline S3L_Unit S3L_wrap(S3L_Unit value, S3L_Unit mod); +static inline S3L_Unit S3L_nonZero(S3L_Unit value); +static inline S3L_Unit S3L_zeroClamp(S3L_Unit value); + +S3L_Unit S3L_sin(S3L_Unit x); +S3L_Unit S3L_asin(S3L_Unit x); +static inline S3L_Unit S3L_cos(S3L_Unit x); + +S3L_Unit S3L_vec3Length(S3L_Vec4 v); +S3L_Unit S3L_sqrt(S3L_Unit value); + +/** Projects a single point from 3D space to the screen space (pixels), which + can be useful e.g. for drawing sprites. The w component of input and result + holds the point size. If this size is 0 in the result, the sprite is outside + the view. */ +void project3DPointToScreen( + S3L_Vec4 point, + S3L_Camera camera, + S3L_Vec4 *result); + +/** Computes a normalized normal of given triangle. */ +void S3L_triangleNormal(S3L_Vec4 t0, S3L_Vec4 t1, S3L_Vec4 t2, + S3L_Vec4 *n); + +/** Helper function for retrieving per-vertex indexed values from an array, + e.g. texturing (UV) coordinates. The 'indices' array contains three indices + for each triangle, each index pointing into 'values' array, which contains + the values, each one consisting of 'numComponents' components (e.g. 2 for + UV coordinates). The three values are retrieved into 'v0', 'v1' and 'v2' + vectors (into x, y, z and w, depending on 'numComponents'). This function is + meant to be used per-triangle (typically from a cache), NOT per-pixel, as it + is not as fast as possible! */ +void S3L_getIndexedTriangleValues( + S3L_Index triangleIndex, + const S3L_Index *indices, + const S3L_Unit *values, + uint8_t numComponents, + S3L_Vec4 *v0, + S3L_Vec4 *v1, + S3L_Vec4 *v2); + +/** Computes a normalized normal for every vertex of given model (this is + relatively slow and SHOUDN'T be done each frame). The dst array must have a + sufficient size preallocated! The size is: number of model vertices * 3 * + sizeof(S3L_Unit). Note that for advanced allowing sharp edges it is not + sufficient to have per-vertex normals, but must be per-triangle. This + function doesn't support this. + + The function computes a normal for each vertex by averaging normals of + the triangles containing the vertex. The maximum number of these triangle + normals that will be averaged is set with + S3L_NORMAL_COMPUTE_MAXIMUM_AVERAGE. */ +void S3L_computeModelNormals(S3L_Model3D model, S3L_Unit *dst, + int8_t transformNormals); + +/** Interpolated between two values, v1 and v2, in the same ratio as t is to + tMax. Does NOT prevent zero division. */ +static inline S3L_Unit S3L_interpolate( + S3L_Unit v1, + S3L_Unit v2, + S3L_Unit t, + S3L_Unit tMax); + +/** Same as S3L_interpolate but with v1 == 0. Should be faster. */ +static inline S3L_Unit S3L_interpolateFrom0( + S3L_Unit v2, + S3L_Unit t, + S3L_Unit tMax); + +/** Like S3L_interpolate, but uses a parameter that goes from 0 to + S3L_FRACTIONS_PER_UNIT - 1, which can be faster. */ +static inline S3L_Unit S3L_interpolateByUnit( + S3L_Unit v1, + S3L_Unit v2, + S3L_Unit t); + +/** Same as S3L_interpolateByUnit but with v1 == 0. Should be faster. */ +static inline S3L_Unit S3L_interpolateByUnitFrom0( + S3L_Unit v2, + S3L_Unit t); + +static inline S3L_Unit S3L_distanceManhattan(S3L_Vec4 a, S3L_Vec4 b); + +/** Returns a value interpolated between the three triangle vertices based on + barycentric coordinates. */ +static inline S3L_Unit S3L_interpolateBarycentric( + S3L_Unit value0, + S3L_Unit value1, + S3L_Unit value2, + S3L_Unit barycentric[3]); + +static inline void S3L_mapProjectionPlaneToScreen( + S3L_Vec4 point, + S3L_ScreenCoord *screenX, + S3L_ScreenCoord *screenY); + +/** Draws a triangle according to given config. The vertices are specified in + Screen Space space (pixels). If perspective correction is enabled, each + vertex has to have a depth (Z position in camera space) specified in the Z + component. */ +void S3L_drawTriangle( + S3L_Vec4 point0, + S3L_Vec4 point1, + S3L_Vec4 point2, + S3L_Index modelIndex, + S3L_Index triangleIndex); + +/** This should be called before rendering each frame. The function clears + buffers and does potentially other things needed for the frame. */ +void S3L_newFrame(void); + +void S3L_zBufferClear(void); +void S3L_stencilBufferClear(void); + +/** Writes a value (not necessarily depth! depends on the format of z-buffer) + to z-buffer (if enabled). Does NOT check boundaries! */ +void S3L_zBufferWrite(S3L_ScreenCoord x, S3L_ScreenCoord y, S3L_Unit value); + +/** Reads a value (not necessarily depth! depends on the format of z-buffer) + from z-buffer (if enabled). Does NOT check boundaries! */ +S3L_Unit S3L_zBufferRead(S3L_ScreenCoord x, S3L_ScreenCoord y); + +static inline void S3L_rotate2DPoint(S3L_Unit *x, S3L_Unit *y, S3L_Unit angle); + +/** Predefined vertices of a cube to simply insert in an array. These come with + S3L_CUBE_TRIANGLES and S3L_CUBE_TEXCOORDS. */ +#define S3L_CUBE_VERTICES(m)\ + /* 0 front, bottom, right */\ + m/2, -m/2, -m/2,\ + /* 1 front, bottom, left */\ +-m/2, -m/2, -m/2,\ + /* 2 front, top, right */\ + m/2, m/2, -m/2,\ + /* 3 front, top, left */\ +-m/2, m/2, -m/2,\ + /* 4 back, bottom, right */\ + m/2, -m/2, m/2,\ + /* 5 back, bottom, left */\ +-m/2, -m/2, m/2,\ + /* 6 back, top, right */\ + m/2, m/2, m/2,\ + /* 7 back, top, left */\ +-m/2, m/2, m/2 + +#define S3L_CUBE_VERTEX_COUNT 8 + +/** Predefined triangle indices of a cube, to be used with S3L_CUBE_VERTICES + and S3L_CUBE_TEXCOORDS. */ +#define S3L_CUBE_TRIANGLES\ + 3, 0, 2, /* front */\ + 1, 0, 3,\ + 0, 4, 2, /* right */\ + 2, 4, 6,\ + 4, 5, 6, /* back */\ + 7, 6, 5,\ + 3, 7, 1, /* left */\ + 1, 7, 5,\ + 6, 3, 2, /* top */\ + 7, 3, 6,\ + 1, 4, 0, /* bottom */\ + 5, 4, 1 + +#define S3L_CUBE_TRIANGLE_COUNT 12 + +/** Predefined texture coordinates of a cube, corresponding to triangles (NOT + vertices), to be used with S3L_CUBE_VERTICES and S3L_CUBE_TRIANGLES. */ +#define S3L_CUBE_TEXCOORDS(m)\ + 0,0, m,m, m,0,\ + 0,m, m,m, 0,0,\ + m,m, m,0, 0,m,\ + 0,m, m,0, 0,0,\ + m,0, 0,0, m,m,\ + 0,m, m,m, 0,0,\ + 0,0, 0,m, m,0,\ + m,0, 0,m, m,m,\ + 0,0, m,m, m,0,\ + 0,m, m,m, 0,0,\ + m,0, 0,m, m,m,\ + 0,0, 0,m, m,0 + +//============================================================================= +// privates + +#define S3L_UNUSED(what) (void)(what) ///< helper macro for unused vars + +#define S3L_HALF_RESOLUTION_X (S3L_RESOLUTION_X >> 1) +#define S3L_HALF_RESOLUTION_Y (S3L_RESOLUTION_Y >> 1) + +#define S3L_PROJECTION_PLANE_HEIGHT\ + ((S3L_RESOLUTION_Y * S3L_FRACTIONS_PER_UNIT * 2) / S3L_RESOLUTION_X) + +#if S3L_Z_BUFFER == 1 + #define S3L_MAX_DEPTH 2147483647 + S3L_Unit S3L_zBuffer[S3L_MAX_PIXELS]; + #define S3L_zBufferFormat(depth) (depth) +#elif S3L_Z_BUFFER == 2 + #define S3L_MAX_DEPTH 255 + uint8_t S3L_zBuffer[S3L_MAX_PIXELS]; + #define S3L_zBufferFormat(depth)\ + S3L_min(255,(depth) >> S3L_REDUCED_Z_BUFFER_GRANULARITY) +#endif + +#if S3L_Z_BUFFER +static inline int8_t S3L_zTest( + S3L_ScreenCoord x, + S3L_ScreenCoord y, + S3L_Unit depth) +{ + uint32_t index = y * S3L_RESOLUTION_X + x; + + depth = S3L_zBufferFormat(depth); + +#if S3L_Z_BUFFER == 2 + #define cmp <= /* For reduced z-buffer we need equality test, because + otherwise pixels at the maximum depth (255) would never be + drawn over the background (which also has the depth of + 255). */ +#else + #define cmp < /* For normal z-buffer we leave out equality test to not waste + time by drawing over already drawn pixls. */ +#endif + + if (depth cmp S3L_zBuffer[index]) + { + S3L_zBuffer[index] = depth; + return 1; + } + +#undef cmp + + return 0; +} +#endif + +S3L_Unit S3L_zBufferRead(S3L_ScreenCoord x, S3L_ScreenCoord y) +{ +#if S3L_Z_BUFFER + return S3L_zBuffer[y * S3L_RESOLUTION_X + x]; +#else + S3L_UNUSED(x); + S3L_UNUSED(y); + + return 0; +#endif +} + +void S3L_zBufferWrite(S3L_ScreenCoord x, S3L_ScreenCoord y, S3L_Unit value) +{ +#if S3L_Z_BUFFER + S3L_zBuffer[y * S3L_RESOLUTION_X + x] = value; +#else + S3L_UNUSED(x); + S3L_UNUSED(y); + S3L_UNUSED(value); +#endif +} + +#if S3L_STENCIL_BUFFER + #define S3L_STENCIL_BUFFER_SIZE\ + ((S3L_RESOLUTION_X * S3L_RESOLUTION_Y - 1) / 8 + 1) + +uint8_t S3L_stencilBuffer[S3L_STENCIL_BUFFER_SIZE]; + +static inline int8_t S3L_stencilTest( + S3L_ScreenCoord x, + S3L_ScreenCoord y) +{ + uint32_t index = y * S3L_RESOLUTION_X + x; + uint32_t bit = (index & 0x00000007); + index = index >> 3; + + uint8_t val = S3L_stencilBuffer[index]; + + if ((val >> bit) & 0x1) + return 0; + + S3L_stencilBuffer[index] = val | (0x1 << bit); + + return 1; +} +#endif + +#define S3L_COMPUTE_LERP_DEPTH\ + (S3L_COMPUTE_DEPTH && (S3L_PERSPECTIVE_CORRECTION == 0)) + +#define S3L_SIN_TABLE_LENGTH 128 + +static const S3L_Unit S3L_sinTable[S3L_SIN_TABLE_LENGTH] = +{ + /* 511 was chosen here as a highest number that doesn't overflow during + compilation for S3L_FRACTIONS_PER_UNIT == 1024 */ + + (0*S3L_FRACTIONS_PER_UNIT)/511, (6*S3L_FRACTIONS_PER_UNIT)/511, + (12*S3L_FRACTIONS_PER_UNIT)/511, (18*S3L_FRACTIONS_PER_UNIT)/511, + (25*S3L_FRACTIONS_PER_UNIT)/511, (31*S3L_FRACTIONS_PER_UNIT)/511, + (37*S3L_FRACTIONS_PER_UNIT)/511, (43*S3L_FRACTIONS_PER_UNIT)/511, + (50*S3L_FRACTIONS_PER_UNIT)/511, (56*S3L_FRACTIONS_PER_UNIT)/511, + (62*S3L_FRACTIONS_PER_UNIT)/511, (68*S3L_FRACTIONS_PER_UNIT)/511, + (74*S3L_FRACTIONS_PER_UNIT)/511, (81*S3L_FRACTIONS_PER_UNIT)/511, + (87*S3L_FRACTIONS_PER_UNIT)/511, (93*S3L_FRACTIONS_PER_UNIT)/511, + (99*S3L_FRACTIONS_PER_UNIT)/511, (105*S3L_FRACTIONS_PER_UNIT)/511, + (111*S3L_FRACTIONS_PER_UNIT)/511, (118*S3L_FRACTIONS_PER_UNIT)/511, + (124*S3L_FRACTIONS_PER_UNIT)/511, (130*S3L_FRACTIONS_PER_UNIT)/511, + (136*S3L_FRACTIONS_PER_UNIT)/511, (142*S3L_FRACTIONS_PER_UNIT)/511, + (148*S3L_FRACTIONS_PER_UNIT)/511, (154*S3L_FRACTIONS_PER_UNIT)/511, + (160*S3L_FRACTIONS_PER_UNIT)/511, (166*S3L_FRACTIONS_PER_UNIT)/511, + (172*S3L_FRACTIONS_PER_UNIT)/511, (178*S3L_FRACTIONS_PER_UNIT)/511, + (183*S3L_FRACTIONS_PER_UNIT)/511, (189*S3L_FRACTIONS_PER_UNIT)/511, + (195*S3L_FRACTIONS_PER_UNIT)/511, (201*S3L_FRACTIONS_PER_UNIT)/511, + (207*S3L_FRACTIONS_PER_UNIT)/511, (212*S3L_FRACTIONS_PER_UNIT)/511, + (218*S3L_FRACTIONS_PER_UNIT)/511, (224*S3L_FRACTIONS_PER_UNIT)/511, + (229*S3L_FRACTIONS_PER_UNIT)/511, (235*S3L_FRACTIONS_PER_UNIT)/511, + (240*S3L_FRACTIONS_PER_UNIT)/511, (246*S3L_FRACTIONS_PER_UNIT)/511, + (251*S3L_FRACTIONS_PER_UNIT)/511, (257*S3L_FRACTIONS_PER_UNIT)/511, + (262*S3L_FRACTIONS_PER_UNIT)/511, (268*S3L_FRACTIONS_PER_UNIT)/511, + (273*S3L_FRACTIONS_PER_UNIT)/511, (278*S3L_FRACTIONS_PER_UNIT)/511, + (283*S3L_FRACTIONS_PER_UNIT)/511, (289*S3L_FRACTIONS_PER_UNIT)/511, + (294*S3L_FRACTIONS_PER_UNIT)/511, (299*S3L_FRACTIONS_PER_UNIT)/511, + (304*S3L_FRACTIONS_PER_UNIT)/511, (309*S3L_FRACTIONS_PER_UNIT)/511, + (314*S3L_FRACTIONS_PER_UNIT)/511, (319*S3L_FRACTIONS_PER_UNIT)/511, + (324*S3L_FRACTIONS_PER_UNIT)/511, (328*S3L_FRACTIONS_PER_UNIT)/511, + (333*S3L_FRACTIONS_PER_UNIT)/511, (338*S3L_FRACTIONS_PER_UNIT)/511, + (343*S3L_FRACTIONS_PER_UNIT)/511, (347*S3L_FRACTIONS_PER_UNIT)/511, + (352*S3L_FRACTIONS_PER_UNIT)/511, (356*S3L_FRACTIONS_PER_UNIT)/511, + (361*S3L_FRACTIONS_PER_UNIT)/511, (365*S3L_FRACTIONS_PER_UNIT)/511, + (370*S3L_FRACTIONS_PER_UNIT)/511, (374*S3L_FRACTIONS_PER_UNIT)/511, + (378*S3L_FRACTIONS_PER_UNIT)/511, (382*S3L_FRACTIONS_PER_UNIT)/511, + (386*S3L_FRACTIONS_PER_UNIT)/511, (391*S3L_FRACTIONS_PER_UNIT)/511, + (395*S3L_FRACTIONS_PER_UNIT)/511, (398*S3L_FRACTIONS_PER_UNIT)/511, + (402*S3L_FRACTIONS_PER_UNIT)/511, (406*S3L_FRACTIONS_PER_UNIT)/511, + (410*S3L_FRACTIONS_PER_UNIT)/511, (414*S3L_FRACTIONS_PER_UNIT)/511, + (417*S3L_FRACTIONS_PER_UNIT)/511, (421*S3L_FRACTIONS_PER_UNIT)/511, + (424*S3L_FRACTIONS_PER_UNIT)/511, (428*S3L_FRACTIONS_PER_UNIT)/511, + (431*S3L_FRACTIONS_PER_UNIT)/511, (435*S3L_FRACTIONS_PER_UNIT)/511, + (438*S3L_FRACTIONS_PER_UNIT)/511, (441*S3L_FRACTIONS_PER_UNIT)/511, + (444*S3L_FRACTIONS_PER_UNIT)/511, (447*S3L_FRACTIONS_PER_UNIT)/511, + (450*S3L_FRACTIONS_PER_UNIT)/511, (453*S3L_FRACTIONS_PER_UNIT)/511, + (456*S3L_FRACTIONS_PER_UNIT)/511, (459*S3L_FRACTIONS_PER_UNIT)/511, + (461*S3L_FRACTIONS_PER_UNIT)/511, (464*S3L_FRACTIONS_PER_UNIT)/511, + (467*S3L_FRACTIONS_PER_UNIT)/511, (469*S3L_FRACTIONS_PER_UNIT)/511, + (472*S3L_FRACTIONS_PER_UNIT)/511, (474*S3L_FRACTIONS_PER_UNIT)/511, + (476*S3L_FRACTIONS_PER_UNIT)/511, (478*S3L_FRACTIONS_PER_UNIT)/511, + (481*S3L_FRACTIONS_PER_UNIT)/511, (483*S3L_FRACTIONS_PER_UNIT)/511, + (485*S3L_FRACTIONS_PER_UNIT)/511, (487*S3L_FRACTIONS_PER_UNIT)/511, + (488*S3L_FRACTIONS_PER_UNIT)/511, (490*S3L_FRACTIONS_PER_UNIT)/511, + (492*S3L_FRACTIONS_PER_UNIT)/511, (494*S3L_FRACTIONS_PER_UNIT)/511, + (495*S3L_FRACTIONS_PER_UNIT)/511, (497*S3L_FRACTIONS_PER_UNIT)/511, + (498*S3L_FRACTIONS_PER_UNIT)/511, (499*S3L_FRACTIONS_PER_UNIT)/511, + (501*S3L_FRACTIONS_PER_UNIT)/511, (502*S3L_FRACTIONS_PER_UNIT)/511, + (503*S3L_FRACTIONS_PER_UNIT)/511, (504*S3L_FRACTIONS_PER_UNIT)/511, + (505*S3L_FRACTIONS_PER_UNIT)/511, (506*S3L_FRACTIONS_PER_UNIT)/511, + (507*S3L_FRACTIONS_PER_UNIT)/511, (507*S3L_FRACTIONS_PER_UNIT)/511, + (508*S3L_FRACTIONS_PER_UNIT)/511, (509*S3L_FRACTIONS_PER_UNIT)/511, + (509*S3L_FRACTIONS_PER_UNIT)/511, (510*S3L_FRACTIONS_PER_UNIT)/511, + (510*S3L_FRACTIONS_PER_UNIT)/511, (510*S3L_FRACTIONS_PER_UNIT)/511, + (510*S3L_FRACTIONS_PER_UNIT)/511, (510*S3L_FRACTIONS_PER_UNIT)/511 +}; + +#define S3L_SIN_TABLE_UNIT_STEP\ + (S3L_FRACTIONS_PER_UNIT / (S3L_SIN_TABLE_LENGTH * 4)) + +void S3L_vec4Init(S3L_Vec4 *v) +{ + v->x = 0; v->y = 0; v->z = 0; v->w = S3L_FRACTIONS_PER_UNIT; +} + +void S3L_vec4Set(S3L_Vec4 *v, S3L_Unit x, S3L_Unit y, S3L_Unit z, S3L_Unit w) +{ + v->x = x; + v->y = y; + v->z = z; + v->w = w; +} + +void S3L_vec3Add(S3L_Vec4 *result, S3L_Vec4 added) +{ + result->x += added.x; + result->y += added.y; + result->z += added.z; +} + +void S3L_vec3Sub(S3L_Vec4 *result, S3L_Vec4 substracted) +{ + result->x -= substracted.x; + result->y -= substracted.y; + result->z -= substracted.z; +} + +void S3L_mat4Init(S3L_Mat4 m) +{ + #define M(x,y) m[x][y] + #define S S3L_FRACTIONS_PER_UNIT + + M(0,0) = S; M(1,0) = 0; M(2,0) = 0; M(3,0) = 0; + M(0,1) = 0; M(1,1) = S; M(2,1) = 0; M(3,1) = 0; + M(0,2) = 0; M(1,2) = 0; M(2,2) = S; M(3,2) = 0; + M(0,3) = 0; M(1,3) = 0; M(2,3) = 0; M(3,3) = S; + + #undef M + #undef S +} + +void S3L_mat4Copy(S3L_Mat4 src, S3L_Mat4 dst) +{ + for (uint8_t j = 0; j < 4; ++j) + for (uint8_t i = 0; i < 4; ++i) + dst[i][j] = src[i][j]; +} + +S3L_Unit S3L_vec3Dot(S3L_Vec4 a, S3L_Vec4 b) +{ + return (a.x * b.x + a.y * b.y + a.z * b.z) / S3L_FRACTIONS_PER_UNIT; +} + +void S3L_reflect(S3L_Vec4 toLight, S3L_Vec4 normal, S3L_Vec4 *result) +{ + S3L_Unit d = 2 * S3L_vec3Dot(toLight,normal); + + result->x = (normal.x * d) / S3L_FRACTIONS_PER_UNIT - toLight.x; + result->y = (normal.y * d) / S3L_FRACTIONS_PER_UNIT - toLight.y; + result->z = (normal.z * d) / S3L_FRACTIONS_PER_UNIT - toLight.z; +} + +void S3L_vec3Cross(S3L_Vec4 a, S3L_Vec4 b, S3L_Vec4 *result) +{ + result->x = a.y * b.z - a.z * b.y; + result->y = a.z * b.x - a.x * b.z; + result->z = a.x * b.y - a.y * b.x; +} + +void S3L_triangleNormal(S3L_Vec4 t0, S3L_Vec4 t1, S3L_Vec4 t2, S3L_Vec4 *n) +{ + #define ANTI_OVERFLOW 32 + + t1.x = (t1.x - t0.x) / ANTI_OVERFLOW; + t1.y = (t1.y - t0.y) / ANTI_OVERFLOW; + t1.z = (t1.z - t0.z) / ANTI_OVERFLOW; + + t2.x = (t2.x - t0.x) / ANTI_OVERFLOW; + t2.y = (t2.y - t0.y) / ANTI_OVERFLOW; + t2.z = (t2.z - t0.z) / ANTI_OVERFLOW; + + #undef ANTI_OVERFLOW + + S3L_vec3Cross(t1,t2,n); + + S3L_vec3Normalize(n); +} + +void S3L_getIndexedTriangleValues( + S3L_Index triangleIndex, + const S3L_Index *indices, + const S3L_Unit *values, + uint8_t numComponents, + S3L_Vec4 *v0, + S3L_Vec4 *v1, + S3L_Vec4 *v2) +{ + uint32_t i0, i1; + S3L_Unit *value; + + i0 = triangleIndex * 3; + i1 = indices[i0] * numComponents; + value = (S3L_Unit *) v0; + + if (numComponents > 4) + numComponents = 4; + + for (uint8_t j = 0; j < numComponents; ++j) + { + *value = values[i1]; + i1++; + value++; + } + + i0++; + i1 = indices[i0] * numComponents; + value = (S3L_Unit *) v1; + + for (uint8_t j = 0; j < numComponents; ++j) + { + *value = values[i1]; + i1++; + value++; + } + + i0++; + i1 = indices[i0] * numComponents; + value = (S3L_Unit *) v2; + + for (uint8_t j = 0; j < numComponents; ++j) + { + *value = values[i1]; + i1++; + value++; + } +} + +void S3L_computeModelNormals(S3L_Model3D model, S3L_Unit *dst, + int8_t transformNormals) +{ + S3L_Index vPos = 0; + + S3L_Vec4 n; + + n.w = 0; + + S3L_Vec4 ns[S3L_NORMAL_COMPUTE_MAXIMUM_AVERAGE]; + S3L_Index normalCount; + + for (uint32_t i = 0; i < model.vertexCount; ++i) + { + normalCount = 0; + + for (uint32_t j = 0; j < model.triangleCount * 3; j += 3) + { + if ( + (model.triangles[j] == i) || + (model.triangles[j + 1] == i) || + (model.triangles[j + 2] == i)) + { + S3L_Vec4 t0, t1, t2; + uint32_t vIndex; + + #define getVertex(n)\ + vIndex = model.triangles[j + n] * 3;\ + t##n.x = model.vertices[vIndex];\ + vIndex++;\ + t##n.y = model.vertices[vIndex];\ + vIndex++;\ + t##n.z = model.vertices[vIndex]; + + getVertex(0) + getVertex(1) + getVertex(2) + + #undef getVertex + + S3L_triangleNormal(t0,t1,t2,&(ns[normalCount])); + + normalCount++; + + if (normalCount >= S3L_NORMAL_COMPUTE_MAXIMUM_AVERAGE) + break; + } + } + + n.x = S3L_FRACTIONS_PER_UNIT; + n.y = 0; + n.z = 0; + + if (normalCount != 0) + { + // compute average + + n.x = 0; + + for (uint8_t i = 0; i < normalCount; ++i) + { + n.x += ns[i].x; + n.y += ns[i].y; + n.z += ns[i].z; + } + + n.x /= normalCount; + n.y /= normalCount; + n.z /= normalCount; + + S3L_vec3Normalize(&n); + } + + dst[vPos] = n.x; + vPos++; + + dst[vPos] = n.y; + vPos++; + + dst[vPos] = n.z; + vPos++; + } + + S3L_Mat4 m; + + S3L_makeWorldMatrix(model.transform,m); + + if (transformNormals) + for (S3L_Index i = 0; i < model.vertexCount * 3; i += 3) + { + n.x = dst[i]; + n.y = dst[i + 1]; + n.z = dst[i + 2]; + + S3L_vec4Xmat4(&n,m); + + dst[i] = n.x; + dst[i + 1] = n.y; + dst[i + 2] = n.z; + } +} + +void S3L_vec4Xmat4(S3L_Vec4 *v, S3L_Mat4 m) +{ + S3L_Vec4 vBackup; + + vBackup.x = v->x; + vBackup.y = v->y; + vBackup.z = v->z; + vBackup.w = v->w; + + #define dotCol(col)\ + ((vBackup.x * m[col][0]) +\ + (vBackup.y * m[col][1]) +\ + (vBackup.z * m[col][2]) +\ + (vBackup.w * m[col][3])) / S3L_FRACTIONS_PER_UNIT + + v->x = dotCol(0); + v->y = dotCol(1); + v->z = dotCol(2); + v->w = dotCol(3); +} + +void S3L_vec3Xmat4(S3L_Vec4 *v, S3L_Mat4 m) +{ + S3L_Vec4 vBackup; + + #undef dotCol + #define dotCol(col)\ + (vBackup.x * m[col][0]) / S3L_FRACTIONS_PER_UNIT +\ + (vBackup.y * m[col][1]) / S3L_FRACTIONS_PER_UNIT +\ + (vBackup.z * m[col][2]) / S3L_FRACTIONS_PER_UNIT +\ + m[col][3] + + vBackup.x = v->x; + vBackup.y = v->y; + vBackup.z = v->z; + vBackup.w = v->w; + + v->x = dotCol(0); + v->y = dotCol(1); + v->z = dotCol(2); + v->w = S3L_FRACTIONS_PER_UNIT; +} + +#undef dotCol + +S3L_Unit S3L_abs(S3L_Unit value) +{ + return value * (((value >= 0) << 1) - 1); +} + +S3L_Unit S3L_min(S3L_Unit v1, S3L_Unit v2) +{ + return v1 >= v2 ? v2 : v1; +} + +S3L_Unit S3L_max(S3L_Unit v1, S3L_Unit v2) +{ + return v1 >= v2 ? v1 : v2; +} + +S3L_Unit S3L_clamp(S3L_Unit v, S3L_Unit v1, S3L_Unit v2) +{ + return v >= v1 ? (v <= v2 ? v : v2) : v1; +} + +S3L_Unit S3L_zeroClamp(S3L_Unit value) +{ + return (value * (value >= 0)); +} + +S3L_Unit S3L_wrap(S3L_Unit value, S3L_Unit mod) +{ + return value >= 0 ? (value % mod) : (mod + (value % mod) - 1); +} + +S3L_Unit S3L_nonZero(S3L_Unit value) +{ + return (value + (value == 0)); +} + +S3L_Unit S3L_interpolate(S3L_Unit v1, S3L_Unit v2, S3L_Unit t, S3L_Unit tMax) +{ + return v1 + ((v2 - v1) * t) / tMax; +} + +S3L_Unit S3L_interpolateByUnit(S3L_Unit v1, S3L_Unit v2, S3L_Unit t) +{ + return v1 + ((v2 - v1) * t) / S3L_FRACTIONS_PER_UNIT; +} + +S3L_Unit S3L_interpolateByUnitFrom0(S3L_Unit v2, S3L_Unit t) +{ + return (v2 * t) / S3L_FRACTIONS_PER_UNIT; +} + +S3L_Unit S3L_interpolateFrom0(S3L_Unit v2, S3L_Unit t, S3L_Unit tMax) +{ + return (v2 * t) / tMax; +} + +S3L_Unit S3L_distanceManhattan(S3L_Vec4 a, S3L_Vec4 b) +{ + return + S3L_abs(a.x - b.x) + + S3L_abs(a.y - b.y) + + S3L_abs(a.z - b.z); +} + +void S3L_mat4Xmat4(S3L_Mat4 m1, S3L_Mat4 m2) +{ + S3L_Mat4 mat1; + + for (uint16_t row = 0; row < 4; ++row) + for (uint16_t col = 0; col < 4; ++col) + mat1[col][row] = m1[col][row]; + + for (uint16_t row = 0; row < 4; ++row) + for (uint16_t col = 0; col < 4; ++col) + { + m1[col][row] = 0; + + for (uint16_t i = 0; i < 4; ++i) + m1[col][row] += + (mat1[i][row] * m2[col][i]) / S3L_FRACTIONS_PER_UNIT; + } +} + +S3L_Unit S3L_sin(S3L_Unit x) +{ + x = S3L_wrap(x / S3L_SIN_TABLE_UNIT_STEP,S3L_SIN_TABLE_LENGTH * 4); + int8_t positive = 1; + + if (x < S3L_SIN_TABLE_LENGTH) + { + } + else if (x < S3L_SIN_TABLE_LENGTH * 2) + { + x = S3L_SIN_TABLE_LENGTH * 2 - x - 1; + } + else if (x < S3L_SIN_TABLE_LENGTH * 3) + { + x = x - S3L_SIN_TABLE_LENGTH * 2; + positive = 0; + } + else + { + x = S3L_SIN_TABLE_LENGTH - (x - S3L_SIN_TABLE_LENGTH * 3) - 1; + positive = 0; + } + + return positive ? S3L_sinTable[x] : -1 * S3L_sinTable[x]; +} + +S3L_Unit S3L_asin(S3L_Unit x) +{ + x = S3L_clamp(x,-S3L_FRACTIONS_PER_UNIT,S3L_FRACTIONS_PER_UNIT); + + int8_t sign = 1; + + if (x < 0) + { + sign = -1; + x *= -1; + } + + int16_t low = 0; + int16_t high = S3L_SIN_TABLE_LENGTH -1; + int16_t middle; + + while (low <= high) // binary search + { + middle = (low + high) / 2; + + S3L_Unit v = S3L_sinTable[middle]; + + if (v > x) + high = middle - 1; + else if (v < x) + low = middle + 1; + else + break; + } + + middle *= S3L_SIN_TABLE_UNIT_STEP; + + return sign * middle; +} + +S3L_Unit S3L_cos(S3L_Unit x) +{ + return S3L_sin(x + S3L_FRACTIONS_PER_UNIT / 4); +} + +void S3L_correctBarycentricCoords(S3L_Unit barycentric[3]) +{ + barycentric[0] = S3L_clamp(barycentric[0],0,S3L_FRACTIONS_PER_UNIT); + barycentric[1] = S3L_clamp(barycentric[1],0,S3L_FRACTIONS_PER_UNIT); + + S3L_Unit d = S3L_FRACTIONS_PER_UNIT - barycentric[0] - barycentric[1]; + + if (d < 0) + { + barycentric[0] += d; + barycentric[2] = 0; + } + else + barycentric[2] = d; +} + +void S3L_makeTranslationMat( + S3L_Unit offsetX, + S3L_Unit offsetY, + S3L_Unit offsetZ, + S3L_Mat4 m) +{ + #define M(x,y) m[x][y] + #define S S3L_FRACTIONS_PER_UNIT + + M(0,0) = S; M(1,0) = 0; M(2,0) = 0; M(3,0) = 0; + M(0,1) = 0; M(1,1) = S; M(2,1) = 0; M(3,1) = 0; + M(0,2) = 0; M(1,2) = 0; M(2,2) = S; M(3,2) = 0; + M(0,3) = offsetX; M(1,3) = offsetY; M(2,3) = offsetZ; M(3,3) = S; + + #undef M + #undef S +} + +void S3L_makeScaleMatrix( + S3L_Unit scaleX, + S3L_Unit scaleY, + S3L_Unit scaleZ, + S3L_Mat4 m) +{ + #define M(x,y) m[x][y] + + M(0,0) = scaleX; M(1,0) = 0; M(2,0) = 0; M(3,0) = 0; + M(0,1) = 0; M(1,1) = scaleY; M(2,1) = 0; M(3,1) = 0; + M(0,2) = 0; M(1,2) = 0; M(2,2) = scaleZ; M(3,2) = 0; + M(0,3) = 0; M(1,3) = 0; M(2,3) = 0; M(3,3) = S3L_FRACTIONS_PER_UNIT; + + #undef M +} + +void S3L_makeRotationMatrixZXY( + S3L_Unit byX, + S3L_Unit byY, + S3L_Unit byZ, + S3L_Mat4 m) +{ + byX *= -1; + byY *= -1; + byZ *= -1; + + S3L_Unit sx = S3L_sin(byX); + S3L_Unit sy = S3L_sin(byY); + S3L_Unit sz = S3L_sin(byZ); + + S3L_Unit cx = S3L_cos(byX); + S3L_Unit cy = S3L_cos(byY); + S3L_Unit cz = S3L_cos(byZ); + + #define M(x,y) m[x][y] + #define S S3L_FRACTIONS_PER_UNIT + + M(0,0) = (cy * cz) / S + (sy * sx * sz) / (S * S); + M(1,0) = (cx * sz) / S; + M(2,0) = (cy * sx * sz) / (S * S) - (cz * sy) / S; + M(3,0) = 0; + + M(0,1) = (cz * sy * sx) / (S * S) - (cy * sz) / S; + M(1,1) = (cx * cz) / S; + M(2,1) = (cy * cz * sx) / (S * S) + (sy * sz) / S; + M(3,1) = 0; + + M(0,2) = (cx * sy) / S; + M(1,2) = -1 * sx; + M(2,2) = (cy * cx) / S; + M(3,2) = 0; + + M(0,3) = 0; + M(1,3) = 0; + M(2,3) = 0; + M(3,3) = S3L_FRACTIONS_PER_UNIT; + + #undef M + #undef S +} + +S3L_Unit S3L_sqrt(S3L_Unit value) +{ + int8_t sign = 1; + + if (value < 0) + { + sign = -1; + value *= -1; + } + + uint32_t result = 0; + uint32_t a = value; + uint32_t b = 1u << 30; + + while (b > a) + b >>= 2; + + while (b != 0) + { + if (a >= result + b) + { + a -= result + b; + result = result + 2 * b; + } + + b >>= 2; + result >>= 1; + } + + return result * sign; +} + +S3L_Unit S3L_vec3Length(S3L_Vec4 v) +{ + return S3L_sqrt(v.x * v.x + v.y * v.y + v.z * v.z); +} + +S3L_Unit S3L_vec2Length(S3L_Vec4 v) +{ + return S3L_sqrt(v.x * v.x + v.y * v.y); +} + +void S3L_vec3Normalize(S3L_Vec4 *v) +{ + #define SCALE 16 + #define BOTTOM_LIMIT 16 + #define UPPER_LIMIT 900 + + /* Here we try to decide if the vector is too small and would cause + inaccurate result due to very its inaccurate length. If so, we scale + it up. We can't scale up everything as big vectors overflow in length + calculations. */ + + if ( + S3L_abs(v->x) <= BOTTOM_LIMIT && + S3L_abs(v->y) <= BOTTOM_LIMIT && + S3L_abs(v->z) <= BOTTOM_LIMIT) + { + v->x *= SCALE; + v->y *= SCALE; + v->z *= SCALE; + } + else if ( + S3L_abs(v->x) > UPPER_LIMIT || + S3L_abs(v->y) > UPPER_LIMIT || + S3L_abs(v->z) > UPPER_LIMIT) + { + v->x /= SCALE; + v->y /= SCALE; + v->z /= SCALE; + } + + #undef SCALE + #undef BOTTOM_LIMIT + #undef UPPER_LIMIT + + S3L_Unit l = S3L_vec3Length(*v); + + if (l == 0) + return; + + v->x = (v->x * S3L_FRACTIONS_PER_UNIT) / l; + v->y = (v->y * S3L_FRACTIONS_PER_UNIT) / l; + v->z = (v->z * S3L_FRACTIONS_PER_UNIT) / l; +} + +void S3L_vec3NormalizeFast(S3L_Vec4 *v) +{ + S3L_Unit l = S3L_vec3Length(*v); + + if (l == 0) + return; + + v->x = (v->x * S3L_FRACTIONS_PER_UNIT) / l; + v->y = (v->y * S3L_FRACTIONS_PER_UNIT) / l; + v->z = (v->z * S3L_FRACTIONS_PER_UNIT) / l; +} + +void S3L_transform3DInit(S3L_Transform3D *t) +{ + S3L_vec4Init(&(t->translation)); + S3L_vec4Init(&(t->rotation)); + t->scale.x = S3L_FRACTIONS_PER_UNIT; + t->scale.y = S3L_FRACTIONS_PER_UNIT; + t->scale.z = S3L_FRACTIONS_PER_UNIT; + t->scale.w = 0; +} + +/** Performs perspecive division (z-divide). Does NOT check for division by + zero. */ +static inline void S3L_perspectiveDivide(S3L_Vec4 *vector, + S3L_Unit focalLength) +{ + vector->x = (vector->x * focalLength) / vector->z; + vector->y = (vector->y * focalLength) / vector->z; +} + +void project3DPointToScreen( + S3L_Vec4 point, + S3L_Camera camera, + S3L_Vec4 *result) +{ + S3L_Mat4 m; + S3L_makeCameraMatrix(camera.transform,m); + + S3L_Unit s = point.w; + + point.w = S3L_FRACTIONS_PER_UNIT; + + S3L_vec3Xmat4(&point,m); + + point.z = S3L_nonZero(point.z); + + S3L_perspectiveDivide(&point,camera.focalLength); + + S3L_ScreenCoord x, y; + + S3L_mapProjectionPlaneToScreen(point,&x,&y); + + result->x = x; + result->y = y; + result->z = point.z; + + result->w = + (point.z <= 0) ? 0 : + ( + (s * camera.focalLength * S3L_RESOLUTION_X) / + (point.z * S3L_FRACTIONS_PER_UNIT) + ); +} + +void S3L_lookAt(S3L_Vec4 pointTo, S3L_Transform3D *t) +{ + S3L_Vec4 v; + + v.x = pointTo.x - t->translation.x; + v.y = pointTo.z - t->translation.z; + + S3L_Unit dx = v.x; + S3L_Unit l = S3L_vec2Length(v); + + dx = (v.x * S3L_FRACTIONS_PER_UNIT) / S3L_nonZero(l); // normalize + + t->rotation.y = -1 * S3L_asin(dx); + + if (v.y < 0) + t->rotation.y = S3L_FRACTIONS_PER_UNIT / 2 - t->rotation.y; + + v.x = pointTo.y - t->translation.y; + v.y = l; + + l = S3L_vec2Length(v); + + dx = (v.x * S3L_FRACTIONS_PER_UNIT) / S3L_nonZero(l); + + t->rotation.x = S3L_asin(dx); +} + +void S3L_transform3DSet( + S3L_Unit tx, + S3L_Unit ty, + S3L_Unit tz, + S3L_Unit rx, + S3L_Unit ry, + S3L_Unit rz, + S3L_Unit sx, + S3L_Unit sy, + S3L_Unit sz, + S3L_Transform3D *t) +{ + t->translation.x = tx; + t->translation.y = ty; + t->translation.z = tz; + + t->rotation.x = rx; + t->rotation.y = ry; + t->rotation.z = rz; + + t->scale.x = sx; + t->scale.y = sy; + t->scale.z = sz; +} + +void S3L_cameraInit(S3L_Camera *camera) +{ + camera->focalLength = S3L_FRACTIONS_PER_UNIT; + S3L_transform3DInit(&(camera->transform)); +} + +void S3L_rotationToDirections( + S3L_Vec4 rotation, + S3L_Unit length, + S3L_Vec4 *forw, + S3L_Vec4 *right, + S3L_Vec4 *up) +{ + S3L_Mat4 m; + + S3L_makeRotationMatrixZXY(rotation.x,rotation.y,rotation.z,m); + + if (forw != 0) + { + forw->x = 0; + forw->y = 0; + forw->z = length; + S3L_vec3Xmat4(forw,m); + } + + if (right != 0) + { + right->x = length; + right->y = 0; + right->z = 0; + S3L_vec3Xmat4(right,m); + } + + if (up != 0) + { + up->x = 0; + up->y = length; + up->z = 0; + S3L_vec3Xmat4(up,m); + } +} + +void S3L_pixelInfoInit(S3L_PixelInfo *p) +{ + p->x = 0; + p->y = 0; + p->barycentric[0] = S3L_FRACTIONS_PER_UNIT; + p->barycentric[1] = 0; + p->barycentric[2] = 0; + p->modelIndex = 0; + p->triangleIndex = 0; + p->triangleID = 0; + p->depth = 0; + p->previousZ = 0; +} + +void S3L_model3DInit( + const S3L_Unit *vertices, + S3L_Index vertexCount, + const S3L_Index *triangles, + S3L_Index triangleCount, + S3L_Model3D *model) +{ + model->vertices = vertices; + model->vertexCount = vertexCount; + model->triangles = triangles; + model->triangleCount = triangleCount; + model->customTransformMatrix = 0; + + S3L_transform3DInit(&(model->transform)); + S3L_drawConfigInit(&(model->config)); +} + +void S3L_sceneInit( + S3L_Model3D *models, + S3L_Index modelCount, + S3L_Scene *scene) +{ + scene->models = models; + scene->modelCount = modelCount; + S3L_cameraInit(&(scene->camera)); +} + +void S3L_drawConfigInit(S3L_DrawConfig *config) +{ + config->backfaceCulling = 2; + config->visible = 1; +} + +#ifndef S3L_PIXEL_FUNCTION + #error Pixel rendering function (S3L_PIXEL_FUNCTION) not specified! +#endif + +static inline void S3L_PIXEL_FUNCTION(S3L_PixelInfo *pixel); // forward decl + +/** Serves to accelerate linear interpolation for performance-critical + code. Functions such as S3L_interpolate require division to compute each + interpolated value, while S3L_FastLerpState only requires a division for + the initiation and a shift for retrieving each interpolated value. + + S3L_FastLerpState stores a value and a step, both scaled (shifted by + S3L_FAST_LERP_QUALITY) to increase precision. The step is being added to the + value, which achieves the interpolation. This will only be useful for + interpolations in which we need to get the interpolated value in every step. + + BEWARE! Shifting a negative value is undefined, so handling shifting of + negative values has to be done cleverly. */ +typedef struct +{ + S3L_Unit valueScaled; + S3L_Unit stepScaled; +} S3L_FastLerpState; + +#define S3L_getFastLerpValue(state)\ + (state.valueScaled >> S3L_FAST_LERP_QUALITY) + +#define S3L_stepFastLerp(state)\ + state.valueScaled += state.stepScaled + +static inline S3L_Unit S3L_interpolateBarycentric( + S3L_Unit value0, + S3L_Unit value1, + S3L_Unit value2, + S3L_Unit barycentric[3]) +{ + return + ( + (value0 * barycentric[0]) + + (value1 * barycentric[1]) + + (value2 * barycentric[2]) + ) / S3L_FRACTIONS_PER_UNIT; +} + +void S3L_mapProjectionPlaneToScreen( + S3L_Vec4 point, + S3L_ScreenCoord *screenX, + S3L_ScreenCoord *screenY) +{ + *screenX = + S3L_HALF_RESOLUTION_X + + (point.x * S3L_HALF_RESOLUTION_X) / S3L_FRACTIONS_PER_UNIT; + + *screenY = + S3L_HALF_RESOLUTION_Y - + (point.y * S3L_HALF_RESOLUTION_X) / S3L_FRACTIONS_PER_UNIT; +} + +void S3L_zBufferClear(void) +{ +#if S3L_Z_BUFFER + for (uint32_t i = 0; i < S3L_RESOLUTION_X * S3L_RESOLUTION_Y; ++i) + S3L_zBuffer[i] = S3L_MAX_DEPTH; +#endif +} + +void S3L_stencilBufferClear(void) +{ +#if S3L_STENCIL_BUFFER + for (uint32_t i = 0; i < S3L_STENCIL_BUFFER_SIZE; ++i) + S3L_stencilBuffer[i] = 0; +#endif +} + +void S3L_newFrame(void) +{ + S3L_zBufferClear(); + S3L_stencilBufferClear(); +} + +/* + the following serves to communicate info about if the triangle has been split + and how the barycentrics should be remapped. +*/ +uint8_t _S3L_projectedTriangleState = 0; // 0 = normal, 1 = cut, 2 = split + +#if S3L_NEAR_CROSS_STRATEGY == 3 +S3L_Vec4 _S3L_triangleRemapBarycentrics[6]; +#endif + +void S3L_drawTriangle( + S3L_Vec4 point0, + S3L_Vec4 point1, + S3L_Vec4 point2, + S3L_Index modelIndex, + S3L_Index triangleIndex) +{ + S3L_PixelInfo p; + S3L_pixelInfoInit(&p); + p.modelIndex = modelIndex; + p.triangleIndex = triangleIndex; + p.triangleID = (modelIndex << 16) | triangleIndex; + + S3L_Vec4 *tPointSS, *lPointSS, *rPointSS; /* points in Screen Space (in + S3L_Units, normalized by + S3L_FRACTIONS_PER_UNIT) */ + + S3L_Unit *barycentric0; // bar. coord that gets higher from L to R + S3L_Unit *barycentric1; // bar. coord that gets higher from R to L + S3L_Unit *barycentric2; // bar. coord that gets higher from bottom up + + // sort the vertices: + + #define assignPoints(t,a,b)\ + {\ + tPointSS = &point##t;\ + barycentric2 = &(p.barycentric[t]);\ + if (S3L_triangleWinding(point##t.x,point##t.y,point##a.x,point##a.y,\ + point##b.x,point##b.y) >= 0)\ + {\ + lPointSS = &point##a; rPointSS = &point##b;\ + barycentric0 = &(p.barycentric[b]);\ + barycentric1 = &(p.barycentric[a]);\ + }\ + else\ + {\ + lPointSS = &point##b; rPointSS = &point##a;\ + barycentric0 = &(p.barycentric[a]);\ + barycentric1 = &(p.barycentric[b]);\ + }\ + } + + if (point0.y <= point1.y) + { + if (point0.y <= point2.y) + assignPoints(0,1,2) + else + assignPoints(2,0,1) + } + else + { + if (point1.y <= point2.y) + assignPoints(1,0,2) + else + assignPoints(2,0,1) + } + + #undef assignPoints + +#if S3L_FLAT + *barycentric0 = S3L_FRACTIONS_PER_UNIT / 3; + *barycentric1 = S3L_FRACTIONS_PER_UNIT / 3; + *barycentric2 = S3L_FRACTIONS_PER_UNIT - 2 * (S3L_FRACTIONS_PER_UNIT / 3); +#endif + + p.triangleSize[0] = rPointSS->x - lPointSS->x; + p.triangleSize[1] = + (rPointSS->y > lPointSS->y ? rPointSS->y : lPointSS->y) - tPointSS->y; + + // now draw the triangle line by line: + + S3L_ScreenCoord splitY; // Y of the vertically middle point of the triangle + S3L_ScreenCoord endY; // bottom Y of the whole triangle + int splitOnLeft; /* whether splitY is the y coord. of left or right + point */ + + if (rPointSS->y <= lPointSS->y) + { + splitY = rPointSS->y; + splitOnLeft = 0; + endY = lPointSS->y; + } + else + { + splitY = lPointSS->y; + splitOnLeft = 1; + endY = rPointSS->y; + } + + S3L_ScreenCoord currentY = tPointSS->y; + + /* We'll be using an algorithm similar to Bresenham line algorithm. The + specifics of this algorithm are among others: + + - drawing possibly NON-CONTINUOUS line + - NOT tracing the line exactly, but rather rasterizing one the right + side of it, according to the pixel CENTERS, INCLUDING the pixel + centers + + The principle is this: + + - Move vertically by pixels and accumulate the error (abs(dx/dy)). + - If the error is greater than one (crossed the next pixel center), keep + moving horizontally and substracting 1 from the error until it is less + than 1 again. + - To make this INTEGER ONLY, scale the case so that distance between + pixels is equal to dy (instead of 1). This way the error becomes + dx/dy * dy == dx, and we're comparing the error to (and potentially + substracting) 1 * dy == dy. */ + + int16_t + /* triangle side: + left right */ + lX, rX, // current x position on the screen + lDx, rDx, // dx (end point - start point) + lDy, rDy, // dy (end point - start point) + lInc, rInc, // direction in which to increment (1 or -1) + lErr, rErr, // current error (Bresenham) + lErrCmp, rErrCmp, // helper for deciding comparison (> vs >=) + lErrAdd, rErrAdd, // error value to add in each Bresenham cycle + lErrSub, rErrSub; // error value to substract when moving in x direction + + S3L_FastLerpState lSideFLS, rSideFLS; + +#if S3L_COMPUTE_LERP_DEPTH + S3L_FastLerpState lDepthFLS, rDepthFLS; + + #define initDepthFLS(s,p1,p2)\ + s##DepthFLS.valueScaled = p1##PointSS->z << S3L_FAST_LERP_QUALITY;\ + s##DepthFLS.stepScaled = ((p2##PointSS->z << S3L_FAST_LERP_QUALITY) -\ + s##DepthFLS.valueScaled) / (s##Dy != 0 ? s##Dy : 1); +#else + #define initDepthFLS(s,p1,p2) ; +#endif + + /* init side for the algorithm, params: + s - which side (l or r) + p1 - point from (t, l or r) + p2 - point to (t, l or r) + down - whether the side coordinate goes top-down or vice versa */ + #define initSide(s,p1,p2,down)\ + s##X = p1##PointSS->x;\ + s##Dx = p2##PointSS->x - p1##PointSS->x;\ + s##Dy = p2##PointSS->y - p1##PointSS->y;\ + initDepthFLS(s,p1,p2)\ + s##SideFLS.stepScaled = (S3L_FRACTIONS_PER_UNIT << S3L_FAST_LERP_QUALITY)\ + / (s##Dy != 0 ? s##Dy : 1);\ + s##SideFLS.valueScaled = 0;\ + if (!down)\ + {\ + s##SideFLS.valueScaled =\ + S3L_FRACTIONS_PER_UNIT << S3L_FAST_LERP_QUALITY;\ + s##SideFLS.stepScaled *= -1;\ + }\ + s##Inc = s##Dx >= 0 ? 1 : -1;\ + if (s##Dx < 0)\ + {s##Err = 0; s##ErrCmp = 0;}\ + else\ + {s##Err = s##Dy; s##ErrCmp = 1;}\ + s##ErrAdd = S3L_abs(s##Dx);\ + s##ErrSub = s##Dy != 0 ? s##Dy : 1; /* don't allow 0, could lead to an + infinite substracting loop */ + + #define stepSide(s)\ + while (s##Err - s##Dy >= s##ErrCmp)\ + {\ + s##X += s##Inc;\ + s##Err -= s##ErrSub;\ + }\ + s##Err += s##ErrAdd; + + initSide(r,t,r,1) + initSide(l,t,l,1) + +#if S3L_PERSPECTIVE_CORRECTION + /* PC is done by linearly interpolating reciprocals from which the corrected + velues can be computed. See + http://www.lysator.liu.se/~mikaelk/doc/perspectivetexture/ */ + + #if S3L_PERSPECTIVE_CORRECTION == 1 + #define Z_RECIP_NUMERATOR\ + (S3L_FRACTIONS_PER_UNIT * S3L_FRACTIONS_PER_UNIT * S3L_FRACTIONS_PER_UNIT) + #elif S3L_PERSPECTIVE_CORRECTION == 2 + #define Z_RECIP_NUMERATOR\ + (S3L_FRACTIONS_PER_UNIT * S3L_FRACTIONS_PER_UNIT) + #endif + /* ^ This numerator is a number by which we divide values for the + reciprocals. For PC == 2 it has to be lower because linear interpolation + scaling would make it overflow -- this results in lower depth precision + in bigger distance for PC == 2. */ + + S3L_Unit + tPointRecipZ, lPointRecipZ, rPointRecipZ, /* Reciprocals of the depth of + each triangle point. */ + lRecip0, lRecip1, rRecip0, rRecip1; /* Helper variables for swapping + the above after split. */ + + tPointRecipZ = Z_RECIP_NUMERATOR / S3L_nonZero(tPointSS->z); + lPointRecipZ = Z_RECIP_NUMERATOR / S3L_nonZero(lPointSS->z); + rPointRecipZ = Z_RECIP_NUMERATOR / S3L_nonZero(rPointSS->z); + + lRecip0 = tPointRecipZ; + lRecip1 = lPointRecipZ; + rRecip0 = tPointRecipZ; + rRecip1 = rPointRecipZ; + + #define manageSplitPerspective(b0,b1)\ + b1##Recip0 = b0##PointRecipZ;\ + b1##Recip1 = b1##PointRecipZ;\ + b0##Recip0 = b0##PointRecipZ;\ + b0##Recip1 = tPointRecipZ; +#else + #define manageSplitPerspective(b0,b1) ; +#endif + + // clip to the screen in y dimension: + + endY = S3L_min(endY,S3L_RESOLUTION_Y); + + /* Clipping above the screen (y < 0) can't be easily done here, will be + handled inside the loop. */ + + while (currentY < endY) /* draw the triangle from top to bottom -- the + bottom-most row is left out because, following + from the rasterization rules (see start of the + file), it is to never be rasterized. */ + { + if (currentY == splitY) // reached a vertical split of the triangle? + { + #define manageSplit(b0,b1,s0,s1)\ + S3L_Unit *tmp = barycentric##b0;\ + barycentric##b0 = barycentric##b1;\ + barycentric##b1 = tmp;\ + s0##SideFLS.valueScaled = (S3L_FRACTIONS_PER_UNIT\ + << S3L_FAST_LERP_QUALITY) - s0##SideFLS.valueScaled;\ + s0##SideFLS.stepScaled *= -1;\ + manageSplitPerspective(s0,s1) + + if (splitOnLeft) + { + initSide(l,l,r,0); + manageSplit(0,2,r,l) + } + else + { + initSide(r,r,l,0); + manageSplit(1,2,l,r) + } + } + + stepSide(r) + stepSide(l) + + if (currentY >= 0) /* clipping of pixels whose y < 0 (can't be easily done + outside the loop because of the Bresenham-like + algorithm steps) */ + { + p.y = currentY; + + // draw the horizontal line + +#if !S3L_FLAT + S3L_Unit rowLength = S3L_nonZero(rX - lX - 1); // prevent zero div + + #if S3L_PERSPECTIVE_CORRECTION + S3L_Unit lOverZ, lRecipZ, rOverZ, rRecipZ, lT, rT; + + lT = S3L_getFastLerpValue(lSideFLS); + rT = S3L_getFastLerpValue(rSideFLS); + + lOverZ = S3L_interpolateByUnitFrom0(lRecip1,lT); + lRecipZ = S3L_interpolateByUnit(lRecip0,lRecip1,lT); + + rOverZ = S3L_interpolateByUnitFrom0(rRecip1,rT); + rRecipZ = S3L_interpolateByUnit(rRecip0,rRecip1,rT); + #else + S3L_FastLerpState b0FLS, b1FLS; + + #if S3L_COMPUTE_LERP_DEPTH + S3L_FastLerpState depthFLS; + + depthFLS.valueScaled = lDepthFLS.valueScaled; + depthFLS.stepScaled = + (rDepthFLS.valueScaled - lDepthFLS.valueScaled) / rowLength; + #endif + + b0FLS.valueScaled = 0; + b1FLS.valueScaled = lSideFLS.valueScaled; + + b0FLS.stepScaled = rSideFLS.valueScaled / rowLength; + b1FLS.stepScaled = -1 * lSideFLS.valueScaled / rowLength; + #endif +#endif + + // clip to the screen in x dimension: + + S3L_ScreenCoord rXClipped = S3L_min(rX,S3L_RESOLUTION_X), + lXClipped = lX; + + if (lXClipped < 0) + { + lXClipped = 0; + +#if !S3L_PERSPECTIVE_CORRECTION && !S3L_FLAT + b0FLS.valueScaled -= lX * b0FLS.stepScaled; + b1FLS.valueScaled -= lX * b1FLS.stepScaled; + + #if S3L_COMPUTE_LERP_DEPTH + depthFLS.valueScaled -= lX * depthFLS.stepScaled; + #endif +#endif + } + +#if S3L_PERSPECTIVE_CORRECTION + S3L_ScreenCoord i = lXClipped - lX; /* helper var to save one + substraction in the inner + loop */ +#endif + +#if S3L_PERSPECTIVE_CORRECTION == 2 + S3L_FastLerpState + depthPC, // interpolates depth between row segments + b0PC, // interpolates barycentric0 between row segments + b1PC; // interpolates barycentric1 between row segments + + /* ^ These interpolate values between row segments (lines of pixels + of S3L_PC_APPROX_LENGTH length). After each row segment perspective + correction is recomputed. */ + + depthPC.valueScaled = + (Z_RECIP_NUMERATOR / + S3L_nonZero(S3L_interpolate(lRecipZ,rRecipZ,i,rowLength))) + << S3L_FAST_LERP_QUALITY; + + b0PC.valueScaled = + ( + S3L_interpolateFrom0(rOverZ,i,rowLength) + * depthPC.valueScaled + ) / (Z_RECIP_NUMERATOR / S3L_FRACTIONS_PER_UNIT); + + b1PC.valueScaled = + ( + (lOverZ - S3L_interpolateFrom0(lOverZ,i,rowLength)) + * depthPC.valueScaled + ) / (Z_RECIP_NUMERATOR / S3L_FRACTIONS_PER_UNIT); + + int8_t rowCount = S3L_PC_APPROX_LENGTH; +#endif + +#if S3L_Z_BUFFER + uint32_t zBufferIndex = p.y * S3L_RESOLUTION_X + lXClipped; +#endif + + // draw the row -- inner loop: + + for (S3L_ScreenCoord x = lXClipped; x < rXClipped; ++x) + { + int8_t testsPassed = 1; + +#if S3L_STENCIL_BUFFER + if (!S3L_stencilTest(x,p.y)) + testsPassed = 0; +#endif + p.x = x; + +#if S3L_COMPUTE_DEPTH + #if S3L_PERSPECTIVE_CORRECTION == 1 + p.depth = Z_RECIP_NUMERATOR / + S3L_nonZero(S3L_interpolate(lRecipZ,rRecipZ,i,rowLength)); + #elif S3L_PERSPECTIVE_CORRECTION == 2 + if (rowCount >= S3L_PC_APPROX_LENGTH) + { + // init the linear interpolation to the next PC correct value + + rowCount = 0; + + S3L_Unit nextI = i + S3L_PC_APPROX_LENGTH; + + if (nextI < rowLength) + { + S3L_Unit nextDepthScaled = + ( + Z_RECIP_NUMERATOR / + S3L_nonZero(S3L_interpolate(lRecipZ,rRecipZ,nextI,rowLength)) + ) << S3L_FAST_LERP_QUALITY; + + depthPC.stepScaled = + (nextDepthScaled - depthPC.valueScaled) / S3L_PC_APPROX_LENGTH; + + S3L_Unit nextValue = + ( + S3L_interpolateFrom0(rOverZ,nextI,rowLength) + * nextDepthScaled + ) / (Z_RECIP_NUMERATOR / S3L_FRACTIONS_PER_UNIT); + + b0PC.stepScaled = + (nextValue - b0PC.valueScaled) / S3L_PC_APPROX_LENGTH; + + nextValue = + ( + (lOverZ - S3L_interpolateFrom0(lOverZ,nextI,rowLength)) + * nextDepthScaled + ) / (Z_RECIP_NUMERATOR / S3L_FRACTIONS_PER_UNIT); + + b1PC.stepScaled = + (nextValue - b1PC.valueScaled) / S3L_PC_APPROX_LENGTH; + } + else + { + /* A special case where we'd be interpolating outside the triangle. + It seems like a valid approach at first, but it creates a bug + in a case when the rasaterized triangle is near screen 0 and can + actually never reach the extrapolated screen position. So we + have to clamp to the actual end of the triangle here. */ + + S3L_Unit maxI = S3L_nonZero(rowLength - i); + + S3L_Unit nextDepthScaled = + ( + Z_RECIP_NUMERATOR / + S3L_nonZero(rRecipZ) + ) << S3L_FAST_LERP_QUALITY; + + depthPC.stepScaled = + (nextDepthScaled - depthPC.valueScaled) / maxI; + + S3L_Unit nextValue = + ( + rOverZ + * nextDepthScaled + ) / (Z_RECIP_NUMERATOR / S3L_FRACTIONS_PER_UNIT); + + b0PC.stepScaled = + (nextValue - b0PC.valueScaled) / maxI; + + b1PC.stepScaled = + -1 * b1PC.valueScaled / maxI; + } + } + + p.depth = S3L_getFastLerpValue(depthPC); + #else + p.depth = S3L_getFastLerpValue(depthFLS); + S3L_stepFastLerp(depthFLS); + #endif +#else // !S3L_COMPUTE_DEPTH + p.depth = (tPointSS->z + lPointSS->z + rPointSS->z) / 3; +#endif + +#if S3L_Z_BUFFER + p.previousZ = S3L_zBuffer[zBufferIndex]; + + zBufferIndex++; + + if (!S3L_zTest(p.x,p.y,p.depth)) + testsPassed = 0; +#endif + + if (testsPassed) + { +#if !S3L_FLAT + #if S3L_PERSPECTIVE_CORRECTION == 0 + *barycentric0 = S3L_getFastLerpValue(b0FLS); + *barycentric1 = S3L_getFastLerpValue(b1FLS); + #elif S3L_PERSPECTIVE_CORRECTION == 1 + *barycentric0 = + ( + S3L_interpolateFrom0(rOverZ,i,rowLength) + * p.depth + ) / (Z_RECIP_NUMERATOR / S3L_FRACTIONS_PER_UNIT); + + *barycentric1 = + ( + (lOverZ - S3L_interpolateFrom0(lOverZ,i,rowLength)) + * p.depth + ) / (Z_RECIP_NUMERATOR / S3L_FRACTIONS_PER_UNIT); + #elif S3L_PERSPECTIVE_CORRECTION == 2 + *barycentric0 = S3L_getFastLerpValue(b0PC); + *barycentric1 = S3L_getFastLerpValue(b1PC); + #endif + + *barycentric2 = + S3L_FRACTIONS_PER_UNIT - *barycentric0 - *barycentric1; +#endif + +#if S3L_NEAR_CROSS_STRATEGY == 3 + +if (_S3L_projectedTriangleState != 0) +{ + S3L_Unit newBarycentric[3]; + + newBarycentric[0] = S3L_interpolateBarycentric( + _S3L_triangleRemapBarycentrics[0].x, + _S3L_triangleRemapBarycentrics[1].x, + _S3L_triangleRemapBarycentrics[2].x, + p.barycentric); + + newBarycentric[1] = S3L_interpolateBarycentric( + _S3L_triangleRemapBarycentrics[0].y, + _S3L_triangleRemapBarycentrics[1].y, + _S3L_triangleRemapBarycentrics[2].y, + p.barycentric); + + newBarycentric[2] = S3L_interpolateBarycentric( + _S3L_triangleRemapBarycentrics[0].z, + _S3L_triangleRemapBarycentrics[1].z, + _S3L_triangleRemapBarycentrics[2].z, + p.barycentric); + + p.barycentric[0] = newBarycentric[0]; + p.barycentric[1] = newBarycentric[1]; + p.barycentric[2] = newBarycentric[2]; +} +#endif + + S3L_PIXEL_FUNCTION(&p); + } // tests passed + +#if !S3L_FLAT + #if S3L_PERSPECTIVE_CORRECTION + i++; + #if S3L_PERSPECTIVE_CORRECTION == 2 + rowCount++; + + S3L_stepFastLerp(depthPC); + S3L_stepFastLerp(b0PC); + S3L_stepFastLerp(b1PC); + #endif + #else + S3L_stepFastLerp(b0FLS); + S3L_stepFastLerp(b1FLS); + #endif +#endif + } // inner loop + } // y clipping + +#if !S3L_FLAT + S3L_stepFastLerp(lSideFLS); + S3L_stepFastLerp(rSideFLS); + + #if S3L_COMPUTE_LERP_DEPTH + S3L_stepFastLerp(lDepthFLS); + S3L_stepFastLerp(rDepthFLS); + #endif +#endif + + ++currentY; + } // row drawing + + #undef manageSplit + #undef initPC + #undef initSide + #undef stepSide + #undef Z_RECIP_NUMERATOR +} + +void S3L_rotate2DPoint(S3L_Unit *x, S3L_Unit *y, S3L_Unit angle) +{ + if (angle < S3L_SIN_TABLE_UNIT_STEP) + return; // no visible rotation + + S3L_Unit angleSin = S3L_sin(angle); + S3L_Unit angleCos = S3L_cos(angle); + + S3L_Unit xBackup = *x; + + *x = + (angleCos * (*x)) / S3L_FRACTIONS_PER_UNIT - + (angleSin * (*y)) / S3L_FRACTIONS_PER_UNIT; + + *y = + (angleSin * xBackup) / S3L_FRACTIONS_PER_UNIT + + (angleCos * (*y)) / S3L_FRACTIONS_PER_UNIT; +} + +void S3L_makeWorldMatrix(S3L_Transform3D worldTransform, S3L_Mat4 m) +{ + S3L_makeScaleMatrix( + worldTransform.scale.x, + worldTransform.scale.y, + worldTransform.scale.z, + m); + + S3L_Mat4 t; + + S3L_makeRotationMatrixZXY( + worldTransform.rotation.x, + worldTransform.rotation.y, + worldTransform.rotation.z, + t); + + S3L_mat4Xmat4(m,t); + + S3L_makeTranslationMat( + worldTransform.translation.x, + worldTransform.translation.y, + worldTransform.translation.z, + t); + + S3L_mat4Xmat4(m,t); +} + +void S3L_mat4Transpose(S3L_Mat4 m) +{ + S3L_Unit tmp; + + for (uint8_t y = 0; y < 3; ++y) + for (uint8_t x = 1 + y; x < 4; ++x) + { + tmp = m[x][y]; + m[x][y] = m[y][x]; + m[y][x] = tmp; + } +} + +void S3L_makeCameraMatrix(S3L_Transform3D cameraTransform, S3L_Mat4 m) +{ + S3L_makeTranslationMat( + -1 * cameraTransform.translation.x, + -1 * cameraTransform.translation.y, + -1 * cameraTransform.translation.z, + m); + + S3L_Mat4 r; + + S3L_makeRotationMatrixZXY( + cameraTransform.rotation.x, + cameraTransform.rotation.y, + cameraTransform.rotation.z, + r); + + S3L_mat4Transpose(r); // transposing creates an inverse transform + + S3L_mat4Xmat4(m,r); +} + +int8_t S3L_triangleWinding( + S3L_ScreenCoord x0, + S3L_ScreenCoord y0, + S3L_ScreenCoord x1, + S3L_ScreenCoord y1, + S3L_ScreenCoord x2, + S3L_ScreenCoord y2) +{ + int32_t winding = + (y1 - y0) * (x2 - x1) - (x1 - x0) * (y2 - y1); + // ^ cross product for points with z == 0 + + return winding > 0 ? 1 : (winding < 0 ? -1 : 0); +} + +/** + Checks if given triangle (in Screen Space) is at least partially visible, + i.e. returns false if the triangle is either completely outside the frustum + (left, right, top, bottom, near) or is invisible due to backface culling. +*/ +static inline int8_t S3L_triangleIsVisible( + S3L_Vec4 p0, + S3L_Vec4 p1, + S3L_Vec4 p2, + uint8_t backfaceCulling) +{ + #define clipTest(c,cmp,v)\ + (p0.c cmp (v) && p1.c cmp (v) && p2.c cmp (v)) + + if ( // outside frustum? +#if S3L_NEAR_CROSS_STRATEGY == 0 + p0.z <= S3L_NEAR || p1.z <= S3L_NEAR || p2.z <= S3L_NEAR || + // ^ partially in front of NEAR? +#else + clipTest(z,<=,S3L_NEAR) || // completely in front of NEAR? +#endif + clipTest(x,<,0) || + clipTest(x,>=,S3L_RESOLUTION_X) || + clipTest(y,<,0) || + clipTest(y,>,S3L_RESOLUTION_Y) + ) + return 0; + + #undef clipTest + + if (backfaceCulling != 0) + { + int8_t winding = + S3L_triangleWinding(p0.x,p0.y,p1.x,p1.y,p2.x,p2.y); + + if ((backfaceCulling == 1 && winding > 0) || + (backfaceCulling == 2 && winding < 0)) + return 0; + } + + return 1; +} + +#if S3L_SORT != 0 +typedef struct +{ + uint8_t modelIndex; + S3L_Index triangleIndex; + uint16_t sortValue; +} _S3L_TriangleToSort; + +_S3L_TriangleToSort S3L_sortArray[S3L_MAX_TRIANGES_DRAWN]; +uint16_t S3L_sortArrayLength; +#endif + +void _S3L_projectVertex( + const S3L_Model3D *model, + S3L_Index triangleIndex, + uint8_t vertex, + S3L_Mat4 projectionMatrix, + S3L_Vec4 *result) +{ + uint32_t vertexIndex = model->triangles[triangleIndex * 3 + vertex] * 3; + + result->x = model->vertices[vertexIndex]; + result->y = model->vertices[vertexIndex + 1]; + result->z = model->vertices[vertexIndex + 2]; + result->w = S3L_FRACTIONS_PER_UNIT; // needed for translation + + S3L_vec3Xmat4(result,projectionMatrix); + + result->w = result->z; + /* We'll keep the non-clamped z in w for sorting. */ +} + +void _S3L_mapProjectedVertexToScreen(S3L_Vec4 *vertex, S3L_Unit focalLength) +{ + vertex->z = vertex->z >= S3L_NEAR ? vertex->z : S3L_NEAR; + /* ^ This firstly prevents zero division in the follwoing z-divide and + secondly "pushes" vertices that are in front of near a little bit forward, + which makes them behave a bit better. If all three vertices end up exactly + on NEAR, the triangle will be culled. */ + + S3L_perspectiveDivide(vertex,focalLength); + + S3L_ScreenCoord sX, sY; + + S3L_mapProjectionPlaneToScreen(*vertex,&sX,&sY); + + vertex->x = sX; + vertex->y = sY; +} + +/** + Projects a triangle to the screen. If enabled, a triangle can be potentially + subdivided into two if it crosses the near plane, in which case two projected + triangles are returned (the info about splitting or cutting the triangle is + passed in global variables, see above). +*/ +void _S3L_projectTriangle( + const S3L_Model3D *model, + S3L_Index triangleIndex, + S3L_Mat4 matrix, + uint32_t focalLength, + S3L_Vec4 transformed[6]) +{ + _S3L_projectVertex(model,triangleIndex,0,matrix,&(transformed[0])); + _S3L_projectVertex(model,triangleIndex,1,matrix,&(transformed[1])); + _S3L_projectVertex(model,triangleIndex,2,matrix,&(transformed[2])); + + _S3L_projectedTriangleState = 0; + +#if S3L_NEAR_CROSS_STRATEGY == 2 || S3L_NEAR_CROSS_STRATEGY == 3 + uint8_t infront = 0; + uint8_t behind = 0; + uint8_t infrontI[3]; + uint8_t behindI[3]; + + for (uint8_t i = 0; i < 3; ++i) + if (transformed[i].z < S3L_NEAR) + { + infrontI[infront] = i; + infront++; + } + else + { + behindI[behind] = i; + behind++; + } + +#if S3L_NEAR_CROSS_STRATEGY == 3 + for (int i = 0; i < 3; ++i) + S3L_vec4Init(&(_S3L_triangleRemapBarycentrics[i])); + + _S3L_triangleRemapBarycentrics[0].x = S3L_FRACTIONS_PER_UNIT; + _S3L_triangleRemapBarycentrics[1].y = S3L_FRACTIONS_PER_UNIT; + _S3L_triangleRemapBarycentrics[2].z = S3L_FRACTIONS_PER_UNIT; +#endif + +#define interpolateVertex \ + S3L_Unit ratio =\ + ((transformed[be].z - S3L_NEAR) * S3L_FRACTIONS_PER_UNIT) /\ + (transformed[be].z - transformed[in].z);\ + transformed[in].x = transformed[be].x - \ + ((transformed[be].x - transformed[in].x) * ratio) /\ + S3L_FRACTIONS_PER_UNIT;\ + transformed[in].y = transformed[be].y -\ + ((transformed[be].y - transformed[in].y) * ratio) /\ + S3L_FRACTIONS_PER_UNIT;\ + transformed[in].z = S3L_NEAR;\ + if (beI != 0) {\ + beI->x = (beI->x * ratio) / S3L_FRACTIONS_PER_UNIT;\ + beI->y = (beI->y * ratio) / S3L_FRACTIONS_PER_UNIT;\ + beI->z = (beI->z * ratio) / S3L_FRACTIONS_PER_UNIT;\ + ratio = S3L_FRACTIONS_PER_UNIT - ratio;\ + beI->x += (beB->x * ratio) / S3L_FRACTIONS_PER_UNIT;\ + beI->y += (beB->y * ratio) / S3L_FRACTIONS_PER_UNIT;\ + beI->z += (beB->z * ratio) / S3L_FRACTIONS_PER_UNIT; } + + if (infront == 2) + { + // shift the two vertices forward along the edge + for (uint8_t i = 0; i < 2; ++i) + { + uint8_t be = behindI[0], in = infrontI[i]; + +#if S3L_NEAR_CROSS_STRATEGY == 3 + S3L_Vec4 *beI = &(_S3L_triangleRemapBarycentrics[in]), + *beB = &(_S3L_triangleRemapBarycentrics[be]); +#else + S3L_Vec4 *beI = 0, *beB = 0; +#endif + + interpolateVertex + + _S3L_projectedTriangleState = 1; + } + } + else if (infront == 1) + { + // create another triangle and do the shifts + transformed[3] = transformed[behindI[1]]; + transformed[4] = transformed[infrontI[0]]; + transformed[5] = transformed[infrontI[0]]; + +#if S3L_NEAR_CROSS_STRATEGY == 3 + _S3L_triangleRemapBarycentrics[3] = + _S3L_triangleRemapBarycentrics[behindI[1]]; + _S3L_triangleRemapBarycentrics[4] = + _S3L_triangleRemapBarycentrics[infrontI[0]]; + _S3L_triangleRemapBarycentrics[5] = + _S3L_triangleRemapBarycentrics[infrontI[0]]; +#endif + + for (uint8_t i = 0; i < 2; ++i) + { + uint8_t be = behindI[i], in = i + 4; + +#if S3L_NEAR_CROSS_STRATEGY == 3 + S3L_Vec4 *beI = &(_S3L_triangleRemapBarycentrics[in]), + *beB = &(_S3L_triangleRemapBarycentrics[be]); +#else + S3L_Vec4 *beI = 0, *beB = 0; +#endif + + interpolateVertex + } + +#if S3L_NEAR_CROSS_STRATEGY == 3 + _S3L_triangleRemapBarycentrics[infrontI[0]] = + _S3L_triangleRemapBarycentrics[4]; +#endif + + transformed[infrontI[0]] = transformed[4]; + + _S3L_mapProjectedVertexToScreen(&transformed[3],focalLength); + _S3L_mapProjectedVertexToScreen(&transformed[4],focalLength); + _S3L_mapProjectedVertexToScreen(&transformed[5],focalLength); + + _S3L_projectedTriangleState = 2; + } + +#undef interpolateVertex +#endif // S3L_NEAR_CROSS_STRATEGY == 2 + + _S3L_mapProjectedVertexToScreen(&transformed[0],focalLength); + _S3L_mapProjectedVertexToScreen(&transformed[1],focalLength); + _S3L_mapProjectedVertexToScreen(&transformed[2],focalLength); +} + +void S3L_drawScene(S3L_Scene scene) +{ + S3L_Mat4 matFinal, matCamera; + S3L_Vec4 transformed[6]; // transformed triangle coords, for 2 triangles + + const S3L_Model3D *model; + S3L_Index modelIndex, triangleIndex; + + S3L_makeCameraMatrix(scene.camera.transform,matCamera); + +#if S3L_SORT != 0 + uint16_t previousModel = 0; + S3L_sortArrayLength = 0; +#endif + + for (modelIndex = 0; modelIndex < scene.modelCount; ++modelIndex) + { + if (!scene.models[modelIndex].config.visible) + continue; + +#if S3L_SORT != 0 + if (S3L_sortArrayLength >= S3L_MAX_TRIANGES_DRAWN) + break; + + previousModel = modelIndex; +#endif + + if (scene.models[modelIndex].customTransformMatrix == 0) + S3L_makeWorldMatrix(scene.models[modelIndex].transform,matFinal); + else + { + S3L_Mat4 *m = scene.models[modelIndex].customTransformMatrix; + + for (int8_t j = 0; j < 4; ++j) + for (int8_t i = 0; i < 4; ++i) + matFinal[i][j] = (*m)[i][j]; + } + + S3L_mat4Xmat4(matFinal,matCamera); + + S3L_Index triangleCount = scene.models[modelIndex].triangleCount; + + triangleIndex = 0; + + model = &(scene.models[modelIndex]); + + while (triangleIndex < triangleCount) + { + /* Some kind of cache could be used in theory to not project perviously + already projected vertices, but after some testing this was abandoned, + no gain was seen. */ + + _S3L_projectTriangle(model,triangleIndex,matFinal, + scene.camera.focalLength,transformed); + + if (S3L_triangleIsVisible(transformed[0],transformed[1],transformed[2], + model->config.backfaceCulling)) + { +#if S3L_SORT == 0 + // without sorting draw right away + S3L_drawTriangle(transformed[0],transformed[1],transformed[2],modelIndex, + triangleIndex); + + if (_S3L_projectedTriangleState == 2) // draw potential subtriangle + { +#if S3L_NEAR_CROSS_STRATEGY == 3 + _S3L_triangleRemapBarycentrics[0] = _S3L_triangleRemapBarycentrics[3]; + _S3L_triangleRemapBarycentrics[1] = _S3L_triangleRemapBarycentrics[4]; + _S3L_triangleRemapBarycentrics[2] = _S3L_triangleRemapBarycentrics[5]; +#endif + + S3L_drawTriangle(transformed[3],transformed[4],transformed[5], + modelIndex, triangleIndex); + } +#else + + if (S3L_sortArrayLength >= S3L_MAX_TRIANGES_DRAWN) + break; + + // with sorting add to a sort list + S3L_sortArray[S3L_sortArrayLength].modelIndex = modelIndex; + S3L_sortArray[S3L_sortArrayLength].triangleIndex = triangleIndex; + S3L_sortArray[S3L_sortArrayLength].sortValue = S3L_zeroClamp( + transformed[0].w + transformed[1].w + transformed[2].w) >> 2; + /* ^ + The w component here stores non-clamped z. + + As a simple approximation we sort by the triangle center point, + which is a mean coordinate -- we don't actually have to divide by 3 + (or anything), that is unnecessary for sorting! We shift by 2 just + as a fast operation to prevent overflow of the sum over uint_16t. */ + + S3L_sortArrayLength++; +#endif + } + + triangleIndex++; + } + } + +#if S3L_SORT != 0 + + #if S3L_SORT == 1 + #define cmp < + #else + #define cmp > + #endif + + /* Sort the triangles. We use insertion sort, because it has many advantages, + especially for smaller arrays (better than bubble sort, in-place, stable, + simple, ...). */ + + for (int16_t i = 1; i < S3L_sortArrayLength; ++i) + { + _S3L_TriangleToSort tmp = S3L_sortArray[i]; + + int16_t j = i - 1; + + while (j >= 0 && S3L_sortArray[j].sortValue cmp tmp.sortValue) + { + S3L_sortArray[j + 1] = S3L_sortArray[j]; + j--; + } + + S3L_sortArray[j + 1] = tmp; + } + + #undef cmp + + for (S3L_Index i = 0; i < S3L_sortArrayLength; ++i) // draw sorted triangles + { + modelIndex = S3L_sortArray[i].modelIndex; + triangleIndex = S3L_sortArray[i].triangleIndex; + + model = &(scene.models[modelIndex]); + + if (modelIndex != previousModel) + { + // only recompute the matrix when the model has changed + S3L_makeWorldMatrix(model->transform,matFinal); + S3L_mat4Xmat4(matFinal,matCamera); + previousModel = modelIndex; + } + + /* Here we project the points again, which is redundant and slow as they've + already been projected above, but saving the projected points would + require a lot of memory, which for small resolutions could be even + worse than z-bufer. So this seems to be the best way memory-wise. */ + + _S3L_projectTriangle(model,triangleIndex,matFinal,scene.camera.focalLength, + transformed); + + S3L_drawTriangle(transformed[0],transformed[1],transformed[2],modelIndex, + triangleIndex); + + if (_S3L_projectedTriangleState == 2) + { +#if S3L_NEAR_CROSS_STRATEGY == 3 + _S3L_triangleRemapBarycentrics[0] = _S3L_triangleRemapBarycentrics[3]; + _S3L_triangleRemapBarycentrics[1] = _S3L_triangleRemapBarycentrics[4]; + _S3L_triangleRemapBarycentrics[2] = _S3L_triangleRemapBarycentrics[5]; +#endif + + S3L_drawTriangle(transformed[3],transformed[4],transformed[5], + modelIndex, triangleIndex); + } + + } +#endif +} + +#endif // guard |