started implementing 3D renderer

Makefile

@@ -16,7 +16,7 @@ test2: bin/back
 test3: bin/back
 	bin/back templates_lv3.txt 33
 
-bin/back: obj/main.o obj/generation.o obj/display.o obj/base.o obj/hash.o obj/move.o
+bin/back: obj/main.o obj/generation.o obj/display.o obj/base.o obj/hash.o obj/move.o obj/threed.o
 	mkdir -p bin
 	$(CC) $(FLAGS) $^ $(LFLAGS) -o $@
 
@@ -30,6 +30,7 @@ obj/display.o: src/display.c
 obj/base.o: src/base.c
 obj/hash.o: src/hash.c
 obj/move.o: src/move.c
+obj/threed.o: src/threed.c
 
 .PHONY: clean mrproper
 

src/base.c

@@ -68,6 +68,18 @@ int convex_seg(int x1, int x2, double theta) {
     return (int)(((1.0f - theta) * x1 + theta * x2));
 }
 
+double convex_seg_double(double x1, double x2, double theta) {
+    return ((1.0f - theta) * x1 + theta * x2);
+}
+
+pt_3d convex_3d(pt_3d p1, pt_3d p2, double theta) {
+    pt_3d res ;
+    res.x = convex_seg_double(p1.x, p2.x, theta);
+    res.y = convex_seg_double(p1.y, p2.z, theta);
+    res.z = convex_seg_double(p1.z, p2.z, theta);
+    return res ;
+}
+
 bool is_an_integer(char c) {
     return ((int)c >= 48 && (int)c <= 57);
 }
@@ -84,6 +96,11 @@ double distance_pt(int x1, int x2, int y1, int y2) {
     return sqrt(to_double(pw(x2 - x1, 2) + pw(y2 - y1, 2)));
 }
 
+
+double distance_pt_double(double x1, double x2, double y1, double y2) {
+    return sqrt((x2 - x1) * (x2 - x1) + (y2 - y1) * (y2 - y1));
+}
+
 int line_count(char* filename) {
     FILE* ptr = fopen(filename, "r");
     char c = 'd';

src/base.h

@@ -15,6 +15,10 @@ double absf(double n);
 
 int convex_seg(int x1, int x2, double theta);
 
+double convex_seg_double(double x1, double x2, double theta);
+
+pt_3d convex_3d(pt_3d p1, pt_3d p2, double theta);
+
 bool is_an_integer(char c);
 
 double to_double(int n);
@@ -23,6 +27,8 @@ int to_int(double n);
 
 double distance_pt(int x1, int x2, int y1, int y2);
 
+double distance_pt_double(double x1, double x2, double y1, double y2);
+
 int line_count(char* filename);
 
 int str_to_int(char* s);

src/display.c

@@ -15,6 +15,7 @@
 #include "structure.h"
 #include "base.h"
 #include "generation.h"
+#include "threed.h"
 #include "display.h"
 
 void updateRenderer(SDL_Renderer* renderer) {

src/main.c

@@ -16,6 +16,7 @@
 #include "base.h"
 #include "display.h"
 #include "generation.h"
+#include "threed.h"
 #include "move.h"
 
 int main(int argc, char** argv) {
@@ -55,6 +56,8 @@ int main(int argc, char** argv) {
     parse_configs(filename, length);
 
     initialize(rend);
+    init_3d();
+    init_sincos();
 
     int temp = render_distance ;
     for(int i = 1; i <= temp; i++) {
@@ -63,9 +66,29 @@ int main(int argc, char** argv) {
         drawMapToRenderer(rend, -300 * 250/zoom + to_int(50 * (8*player_cx + player_x + εx)), 300 * 250/zoom + to_int(50 * (8*player_cx + player_x + εx)), -300 * 250/zoom + to_int(50 * (8*player_cy + player_y + εy)), 300 * 250/zoom + to_int(50 * (8*player_cy + player_y + εy)));
     };
 
-    moveFunctionMaster(rend);
+    printf("entering\n");
+
+    pt_3d p1 ;
+    pt_3d p2 ;
+    pt_3d p3 ;
+    pt_3d p4 ;
+
+    p1.x = 0.0 ; p1.y = 0.0 ; p1.z = 1.0 ;
+    p2.x = 12.0 ; p2.y = 0.0 ; p2.z = 1.0 ;
+    p3.x = 12.0 ; p3.y = 8.0 ; p3.z = 1.0 ;
+    p4.x = 0.0 ; p4.y = 8.0 ; p4.z = 1.0 ;
+
+    project_rectangle(p1, p2, p3, p4);
+    bufferUpdateRenderer(rend);
+
+    printf("pass\n");
+    usleep(3000000);
+
+    //moveFunctionMaster(rend);
 
     destroy();
+    destroy_3d();
+    destroy_sincos();
 
     /* -------------------------------------------------------- */
 

src/structure.h

@@ -11,6 +11,18 @@ typedef struct array {
     int len ;
 } array ;
 
+typedef struct pt_3d {
+    double x;
+    double y;
+    double z;
+} pt_3d ;
+
+typedef struct pt_3d_int {
+    int x;
+    int y;
+    double z;
+} pt_3d_int ;
+
 typedef enum cardinal {NORTH, EAST, SOUTH, WEST} cardinal ;
 
 extern Grid map ;
@@ -47,4 +59,17 @@ extern imgs letters ;
 
 extern template full ;
 
+extern double** screen_zbuffer ;
+extern uint8_t** screen_red ;
+extern uint8_t** screen_green ;
+extern uint8_t** screen_blue ;
+
+extern double three_render_distance ;
+extern int three_angle ;
+
+extern double* cosinuses ;
+extern double* sinuses ;
+
+extern double ar ;
+
 #endif

src/threed.c

@@ -0,0 +1,442 @@
+#include <stdio.h>
+#include <stdlib.h>
+#include <assert.h>
+#include <math.h>
+#include <stdbool.h>
+#include <ncurses.h>
+#include <unistd.h>
+#include <termios.h>
+#include <limits.h>
+#include <time.h>
+#include <stdarg.h>
+#include <SDL2/SDL.h>
+#include <SDL2/SDL_image.h>
+
+#include "hash.h"
+#include "structure.h"
+#include "base.h"
+#include "generation.h" // initialize constants
+#include "display.h"
+#include "threed.h"
+
+// ----------------------------------------------- //
+
+double** screen_zbuffer ;
+uint8_t** screen_red ;
+uint8_t** screen_green ;
+uint8_t** screen_blue ;
+
+double three_render_distance = 20.0 ;
+int three_angle = 0 ;
+
+double* cosinuses ;
+double* sinuses ;
+
+static pt_3d* polygon_b ;
+static int poly_length ;
+
+static double epsilon = 0.75;
+
+static pt_3d* projected ;
+static pt_3d* projected2 ;
+static int pt_count ;
+
+static double draw_const ;
+
+static double tfov ;
+
+double ar ;
+
+// ----------------------------------------------- //
+
+void init_3d() {
+    printf("initializing 3d matrixes... ");
+    screen_zbuffer = malloc(sizeof(double*) * __width__);
+    screen_red = malloc(sizeof(uint8_t*) * __width__);
+    screen_green = malloc(sizeof(uint8_t*) * __width__);
+    screen_blue = malloc(sizeof(uint8_t*) * __width__);
+
+    for(int i = 0; i < __width__; i++) {
+        screen_zbuffer[i] = malloc(sizeof(double) * __height__);
+        screen_red[i] = malloc(sizeof(uint8_t) * __height__);
+        screen_green[i] = malloc(sizeof(uint8_t) * __height__);
+        screen_blue[i] = malloc(sizeof(uint8_t) * __height__);
+
+        for(int j = 0; j < __height__; j++) {
+            screen_zbuffer[i][j] = three_render_distance ;
+            screen_red[i][j] = 0 ;
+            screen_green[i][j] = 0 ;
+            screen_blue[i][j] = 0 ;
+        }
+    };
+    polygon_b = malloc(sizeof(pt_3d)*20);
+    poly_length = 0 ;
+
+    projected = malloc(sizeof(pt_3d)*12);
+    projected2 = malloc(sizeof(pt_3d)*12);
+    pt_count = 0 ;
+
+    ar = ((double)__height__) / ((double)__width__);
+    
+    tfov = tan((75.0 * 3.14159265358 / 180.0) / 2.0) ;
+
+    draw_const = 1.0 ;
+
+    printf("done\n");
+}
+
+void init_sincos() {
+    cosinuses = malloc(sizeof(double)*360);
+    sinuses = malloc(sizeof(double)*360);
+    for(int i = 0; i < 360; i++) {
+        cosinuses[i] = cos(((double)i) * 3.14159265358 / 180.0);
+        sinuses[i] = sin(((double)i) * 3.14159265358 / 180.0);
+    }
+}
+
+int cropx(int x) {
+    return max(min(__width__-1, x), 0) ;
+}
+
+int cropy(int y) {
+    return max(min(__height__-1, y), 0) ;
+}
+
+void placeRectToBuffer(int x, int y, double z, int width, int height, int R, int G, int B) {
+    for(int w = 0; w < width; w++) {
+        for(int h = 0; h < height; h++) {
+            if(z >= 0 && z < screen_zbuffer[cropx(x+w)][cropy(y+h)] && cropx(x+w) == x+w && cropy(y+h) == y+h) {
+                //printf("(%d, %d)\n", x+w, y+h);
+                screen_zbuffer[cropx(x+w)][cropy(y+h)] = z ;
+                screen_red[cropx(x+w)][cropy(y+h)] = R ;
+                screen_green[cropx(x+w)][cropy(y+h)] = G ;
+                screen_blue[cropx(x+w)][cropy(y+h)] = B ;
+            }
+        }
+    }
+}
+
+void drawLineWithThiccToBuffer(int width, double x1, double x2, int y1, int y2, int z1, int z2, int R, int G, int B) {
+    // draw projected 3D line to buffer
+    double theta = 0.0;
+    double seglen = distance_pt(z1, z2, y1, y2);
+    while(theta < 1.0) {
+        placeRectToBuffer(convex_seg(z1, z2, theta)-width/2, convex_seg(y1, y2, theta)-width/2, convex_seg_double(x1, x2, theta), width, width, R, G, B);
+        theta += 1 / seglen;
+    }
+}
+
+double get_zdepth_on_edge(int py, int pz) {
+    for(int i = 0; i < poly_length; i++) {
+        //[ Ax * (By - Cy) + Bx * (Cy - Ay) + Cx * (Ay - By) ]
+        if((double)py * (polygon_b[i].z - polygon_b[(i+1)%poly_length].z) + polygon_b[i].y * (polygon_b[(i+1)%poly_length].z - (double)pz) + polygon_b[(i+1)%poly_length].y * ((double)pz - polygon_b[i].z) < epsilon) {
+            return convex_seg_double(polygon_b[i].x, polygon_b[(i+1)%poly_length].x, (pz - polygon_b[i].z)/(polygon_b[(i+1)%poly_length].z - polygon_b[i].z));
+        }
+    }
+    fprintf(stderr, "ERROR : point is nowhere near an edge of the polygon\n");
+    exit(1);
+}
+
+int getLeftMost() {
+    double my = polygon_b[0].y ;
+    int mi = 0 ;
+    for(int i = 1; i < pt_count; i++) {
+        if(my > polygon_b[i].y) {
+            my = polygon_b[i].y ;
+            mi = i ;
+        }
+    }
+    return mi ;
+}
+
+int getRightMost() {
+    double my = polygon_b[0].y ;
+    int mi = 0 ;
+    for(int i = 1; i < pt_count; i++) {
+        if(my < polygon_b[i].y) {
+            my = polygon_b[i].y ;
+            mi = i ;
+        }
+    }
+    return mi ;
+}
+
+bool is_in_convex(int px, int py) {
+    double previous = 0.0 ;
+    for(int i = 0; i < poly_length; i++) {
+        double nw = (polygon_b[(i+1)%poly_length].y - polygon_b[i].y) * ((double)py - polygon_b[i].z) - ((double)px - polygon_b[i].y) * (polygon_b[(i+1)%poly_length].z - polygon_b[i].z);
+        //(x2 - x1) * (yp - y1) - (xp - x1) * (y2 - y1)
+        if(nw * previous < 0.0) {
+            return false ;
+        } else {
+            previous = nw ;
+        }
+    }
+    return true ;
+} 
+
+void drawPolygonToBuffer(int count, ...) {
+    // takes a 'list' of pt_3d and draws the coresponding polygon to renderer
+    // /!\ : this draws PROJECTED polygons
+    if(count > 20) {
+        fprintf(stderr, "ERROR : polygon has too many vertexes (%d)\n", count);
+        exit(1);
+    } else if(count >= 3) {
+        poly_length = count ;
+
+        va_list list;
+        va_start(list, count);
+        for(int j = 0; j < count; j++) {
+            polygon_b[j] = va_arg(list, pt_3d);
+        }
+        va_end(list);
+
+        /*int pmin = getLeftMost() ;
+        int pmax = getRightMost() ;
+
+        printf("(%d -> %d)\n", pmin, pmax);*/
+
+        for(int i = 0; i < poly_length; i++) {
+            drawLineWithThiccToBuffer(4, polygon_b[i].x, polygon_b[(i+1)%poly_length].x, (int)polygon_b[i].y, (int)polygon_b[(i+1)%poly_length].y, (int)polygon_b[i].z, (int)polygon_b[(i+1)%poly_length].z, 255, 255, 255);
+        }
+    }
+}
+
+pt_3d adjust(pt_3d p) {
+    pt_3d res;
+    res.x = p.x - (player_cx * 8 + player_x + εx) ;
+    res.y = p.y - (player_cy * 8 + player_y + εy) ;
+    res.z = p.z - 1.8 ; // height of player
+
+    res.x = res.y * sinuses[three_angle] + res.x * cosinuses[three_angle];
+    res.y = (p.y - (player_cy * 8 + player_y + εy)) * cosinuses[three_angle] + res.x * sinuses[three_angle] ;
+
+    return res;
+}
+
+/*
+let reduce xmin xmax ymin ymax segx segy (dx : int) (dy : int) =
+  (*
+  line crossing rectangles
+  *)
+
+  let ps = [|-dx; dx; -dy; dy|] in
+  let qs = [|segx - xmin; xmax - segx; segy - ymin; ymax - segy|] in
+  let ts = [|None; None; None; None|] in
+  for k = 0 to 3 do
+    if ps.(k) <> 0 then
+      ts.(k) <- Some ((float_of_int qs.(k)) /. (float_of_int ps.(k)))
+  done ;
+
+  let u1 = ref (-. 1. /. 0.)
+  and u2 = ref (1. /. 0.) in
+
+  for k = 0 to 3 do
+    if ps.(k) < 0 then
+      opt_max ts.(k) u1
+    else if ps.(k) > 0 then
+      opt_min ts.(k) u2
+  done ;
+
+  if 0. < !u1 && !u1 < 1. then
+    (segx + int_of_float (!u1 *. float_of_int dx), segy + int_of_float (!u1 *. float_of_int dy))
+  else if 0. < !u2 && !u2 < 1. then
+    (segx + int_of_float (!u2 *. float_of_int dx), segy + int_of_float (!u2 *. float_of_int dy))
+  else
+    (segx + dx, segy + dy) ;;
+*/
+
+void opt_max(double *ts_k, double *u1) {
+    if (ts_k && *ts_k > *u1) {
+        *u1 = *ts_k;
+    }
+}
+
+void opt_min(double *ts_k, double *u2) {
+    if (ts_k && *ts_k < *u2) {
+        *u2 = *ts_k;
+    }
+}
+
+void reduce(int xmin, int xmax, int ymin, int ymax, int segx, int segy, int dx, int dy, double *result_x, double *result_y, double *result_x2, double *result_y2) {
+    int ps[4] = {-dx, dx, -dy, dy};
+    int qs[4] = {segx - xmin, xmax - segx, segy - ymin, ymax - segy};
+    double ts[4] = {DBL_MAX, DBL_MAX, DBL_MAX, DBL_MAX};  // Initialize to some large value
+    
+    for (int k = 0; k < 4; k++) {
+        if (ps[k] != 0) {
+            ts[k] = (double)qs[k] / (double)ps[k];
+        }
+    }
+
+    double u1 = -DBL_MAX;
+    double u2 = DBL_MAX;
+
+    for (int k = 0; k < 4; k++) {
+        if (ps[k] < 0) {
+            opt_max(&ts[k], &u1);
+        } else if (ps[k] > 0) {
+            opt_min(&ts[k], &u2);
+        }
+    }
+
+    if (0.0 < u1 && u1 < 1.0) {
+        *result_x = (double)segx + (u1 * dx);
+        *result_y = (double)segy + (u1 * dy);
+    } else if (0.0 < u2 && u2 < 1.0) {
+        *result_x2 = (double)segx + (u2 * dx);
+        *result_y2 = (double)segy + (u2 * dy);
+    } else if (0.0 < u1 && u1 < u2 && u2 < 1.0) {
+        *result_x = (double)segx + (u1 * dx);
+        *result_y = (double)segy + (u1 * dy);
+        *result_x2 = (double)segx + (u2 * dx);
+        *result_y2 = (double)segy + (u2 * dy);
+    } else {
+        // nah
+    }
+}
+
+void project_front(pt_3d p) {
+    double ppy = p.y / (p.x * tfov) ;
+    double ppz = p.z / (ar * p.x * tfov) ;
+    projected[pt_count].x = p.x ;
+    projected[pt_count].y = (__height__ * (1.0 + ppy) / 2);
+    projected[pt_count].z = (__width__ * (1.0 + ppz) / 2); 
+    pt_count += 1;
+}
+
+void project_back(pt_3d p) {
+    double ppy = p.y / (draw_const * tfov) ;
+    double ppz = p.z / (ar * draw_const * tfov) ;
+    projected[pt_count].x = p.x ;
+    projected[pt_count].y = (__height__ * (1.0 + ppy) / 2);
+    projected[pt_count].z = (__width__ * (1.0 + ppz) / 2); 
+    pt_count += 1;
+}
+
+void project_seg(pt_3d p1, pt_3d p2, bool first) {
+    if(p1.x >= draw_const && p2.x >= draw_const) {
+        printf("+/+\n");
+        project_front(p1);
+        if(first) {
+            project_front(p2);
+        }
+    } else if(p1.x >= draw_const) {
+        printf("+/-\n");
+        project_front(p1);
+        project_front(convex_3d(p1, p2, (draw_const - p1.x)/(p2.x - p1.x)));
+        if(first) {
+            project_back(p2);
+        }
+    } else if(p2.x >= draw_const) {
+        printf("-/+\n");
+        project_back(p1);
+        project_front(convex_3d(p2, p1, (draw_const - p2.x)/(p1.x - p2.x)));
+        if(first) {
+            project_front(p2);
+        }
+    } else {
+        printf("-/-\n");
+        // else do nothing
+    }
+}
+
+void project_and_render(pt_3d p1, pt_3d p2, pt_3d p3, pt_3d p4) {
+    pt_count = 0 ;
+
+    printf("rect :\n");
+    printf("%lf, %lf, %lf\n", p1.x, p1.y, p1.z);
+    printf("%lf, %lf, %lf\n", p2.x, p2.y, p2.z);
+    printf("%lf, %lf, %lf\n", p3.x, p3.y, p3.z);
+    printf("%lf, %lf, %lf\n\n", p4.x, p4.y, p4.z);
+
+    printf("(%lf)\n", ar);
+
+    project_seg(p1, p2, true);
+    project_seg(p2, p3, true);
+    project_seg(p3, p4, true);
+    project_seg(p4, p1, true);
+
+    printf("C : %d\n\n", pt_count);
+    for(int i = 0; i < pt_count; i++) {
+        printf("pt %d  : (%lf, %lf, %lf)\n", i, projected[i].x, projected[i].y, projected[i].z);
+        projected2[i] = projected[i] ;
+        reduce(0, __width__, 0, __height__, (int)projected[i].y, (int)projected[i].z, (int)(projected[(i+1)%pt_count].y - projected[i].y), (int)(projected[(i+1)%pt_count].z - projected[i].z), &(projected2[i].y), &(projected2[i].z), &(projected2[(i+1)%pt_count].y), &(projected2[(i+1)%pt_count].z));
+    }
+    printf("\n");
+    for(int i = 0; i < pt_count; i++) {
+        printf("pt %d+ : (%lf, %lf, %lf)\n", i, projected2[i].x, projected2[i].y, projected2[i].z);
+    }
+
+    if(pt_count == 2) {
+        drawPolygonToBuffer(2, projected2[0], projected2[1]);
+    } else if(pt_count == 3) {
+        drawPolygonToBuffer(3, projected2[0], projected2[1], projected2[2]);
+    } else if(pt_count == 4) {
+        drawPolygonToBuffer(4, projected2[0], projected2[1], projected2[2], projected2[3]);
+    } else if(pt_count == 5) {
+        drawPolygonToBuffer(5, projected2[0], projected2[1], projected2[2], projected2[3], projected2[4]);
+    } else if(pt_count == 6) {
+        drawPolygonToBuffer(6, projected2[0], projected2[1], projected2[2], projected2[3], projected2[4], projected2[5]);
+    } else if(pt_count == 7) {
+        drawPolygonToBuffer(7, projected2[0], projected2[1], projected2[2], projected2[3], projected2[4], projected2[5], projected2[6]);
+    } else if(pt_count == 8) {
+        drawPolygonToBuffer(8, projected2[0], projected2[1], projected2[2], projected2[3], projected2[4], projected2[5], projected2[6], projected2[7]);
+    } else if(pt_count == 9) {
+        drawPolygonToBuffer(9, projected2[0], projected2[1], projected2[2], projected2[3], projected2[4], projected2[5], projected2[6], projected2[7], projected2[8]);
+    }
+}
+
+void project_rectangle(pt_3d p1, pt_3d p2, pt_3d p3, pt_3d p4) {
+    printf("rawRect :\n");
+    printf("%lf, %lf, %lf\n", p1.x, p1.y, p1.z);
+    printf("%lf, %lf, %lf\n", p2.x, p2.y, p2.z);
+    printf("%lf, %lf, %lf\n", p3.x, p3.y, p3.z);
+    printf("%lf, %lf, %lf\n\n", p4.x, p4.y, p4.z);
+
+    project_and_render(adjust(p1), adjust(p2), adjust(p3), adjust(p4));
+}
+
+void resetBuffer() {
+    for(int i = 0; i < __width__; i++) {
+        for(int j = 0; j < __height__; j++) {
+            screen_blue[i][j] = 0 ;
+            screen_red[i][j] = 0 ;
+            screen_green[i][j] = 0 ;
+            screen_zbuffer[i][j] = three_render_distance ;
+        }
+    }
+}
+
+void bufferUpdateRenderer(SDL_Renderer* renderer) {
+    resetRenderer(renderer);
+    for(int i = 0; i < __height__; i++) {
+        for(int j = 0; j < __width__; j++) {
+            SDL_SetRenderDrawColor(renderer, screen_red[i][j], screen_green[i][j], screen_blue[i][j], SDL_ALPHA_OPAQUE);
+            SDL_RenderDrawPoint(renderer, j, __height__ - i);
+        }
+    }
+    updateRenderer(renderer);
+}
+
+void destroy_3d() {
+    for(int i = 0; i < __width__; i++) {
+        free(screen_zbuffer[i]);
+        free(screen_red[i]);
+        free(screen_green[i]);
+        free(screen_blue[i]);
+    };
+    free(screen_zbuffer);
+    free(screen_red);
+    free(screen_green);
+    free(screen_blue);
+
+    free(polygon_b);
+}
+
+void destroy_sincos() {
+    free(cosinuses);
+    free(sinuses);
+    free(projected);
+    free(projected2);
+}

src/threed.h

@@ -0,0 +1,42 @@
+#ifndef BACK_3D_H
+#define BACK_3D_H
+
+void init_3d();
+
+void init_sincos();
+
+void placeRectToBuffer(int x, int y, double z, int width, int height, int R, int G, int B);
+
+void drawLineWithThiccToBuffer(int width, double x1, double x2, int y1, int y2, int z1, int z2, int R, int G, int B);
+
+bool is_in_convex(int px, int py);
+
+void drawPolygonToBuffer(int count, ...);
+
+pt_3d adjust(pt_3d p);
+
+void opt_max(double *ts_k, double *u1);
+
+void opt_min(double *ts_k, double *u2);
+
+void reduce(int xmin, int xmax, int ymin, int ymax, int segx, int segy, int dx, int dy, double *result_x, double *result_y, double *result_x2, double *result_y2);
+
+void project_front(pt_3d p);
+
+void project_back(pt_3d p);
+
+void project_seg(pt_3d p1, pt_3d p2, bool first) ;
+
+void project_and_render(pt_3d p1, pt_3d p2, pt_3d p3, pt_3d p4);
+
+void project_rectangle(pt_3d p1, pt_3d p2, pt_3d p3, pt_3d p4);
+
+void resetBuffer();
+
+void bufferUpdateRenderer(SDL_Renderer* renderer);
+
+void destroy_3d();
+
+void destroy_sincos();
+
+#endif