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-   height="297mm"
-   viewBox="0 0 744.09448819 1052.3622047"
+   width="136.17223mm"
+   height="32.757938mm"
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metadata.yaml

+---
+author:
+- "Orestis Malaspinas"
+title: "Mathématiques en technologie de l'Information"
+autoSectionLabels: false
+autoEqnLabels: true
+eqnPrefix:
+  - "éq."
+  - "éqs."
+chapters: true
+numberSections: false
+chaptersDepth: 1
+sectionsDepth: 3
+lang: fr
+documentclass: book
+papersize: A4
+cref: false
+urlcolor: blue
+---
+
+
+
+

scripts/gradients.m

+clear all
+clf
+
+tx = ty = linspace (-2, 2, 21)';
+[xx, yy] = meshgrid (tx, ty);
+% tz = xx.^2 + yy.^2;
+tz = xx.^2 + 4*yy.^3-12*yy-2;
+
+surf(tx, ty, tz)
+xlabel("x")
+ylabel("y")
+zlabel("f(x,y)")
+hold on
+
+% [x, y] = meshgrid (-2:0.2:2);
+% h = quiver (x, y, 2*x, 2*y);
+% set (h, "maxheadsize", 0.33);
+
+% hold off

travaux_pratiques/tpChaos/Makefile

+CC=gcc
+CFLAGS=-Wall -Wextra -pedantic -std=c11 -g -O3
+# -fsanitize=leak -fsanitize=undefined  -fsanitize=address
+LFLAGS=-lSDL2
+TARGET=map
+
+all: map
+
+map: map.c gfx.c
+	$(CC) $(CFLAGS) $^ -o $@ $(LFLAGS)
+
+clean:
+	rm -f *.o $(TARGET)

travaux_pratiques/tpChaos/gfx.c

+/// @file gfx.c
+/// @author Florent Gluck
+/// @date November 6, 2016
+/// Helper routines to render pixels in fullscreen graphic mode.
+/// Uses the SDL2 library.
+
+#include "gfx.h"
+
+/// Create a fullscreen graphic window.
+/// @param title Title of the window.
+/// @param width Width of the window in pixels.
+/// @param height Height of the window in pixels.
+/// @return a pointer to the graphic context or NULL if it failed.
+struct gfx_context_t* gfx_create(char *title, uint width, uint height) {
+	if (SDL_Init(SDL_INIT_VIDEO) != 0) goto error;
+	SDL_Window *window = SDL_CreateWindow(title, SDL_WINDOWPOS_CENTERED,
+		SDL_WINDOWPOS_CENTERED, width, height, SDL_WINDOW_RESIZABLE);
+	SDL_Renderer *renderer = SDL_CreateRenderer(window, -1, 0);
+	SDL_Texture *texture = SDL_CreateTexture(renderer, SDL_PIXELFORMAT_ARGB8888,
+			SDL_TEXTUREACCESS_STREAMING, width, height);
+	uint32_t *pixels = malloc(width*height*sizeof(uint32_t));
+	struct gfx_context_t *ctxt = malloc(sizeof(struct gfx_context_t));
+
+	if (!window || !renderer || !texture || !pixels || !ctxt) goto error;
+
+	ctxt->renderer = renderer;
+	ctxt->texture = texture;
+	ctxt->window = window;
+	ctxt->width = width;
+	ctxt->height = height;
+	ctxt->pixels = pixels;
+
+	SDL_ShowCursor(SDL_DISABLE);
+	gfx_clear(ctxt, COLOR_BLACK);
+	return ctxt;
+
+error:
+	return NULL;
+}
+
+/// Draw a pixel in the specified graphic context.
+/// @param ctxt Graphic context where the pixel is to be drawn.
+/// @param x X coordinate of the pixel.
+/// @param y Y coordinate of the pixel.
+/// @param color Color of the pixel.
+void gfx_putpixel(struct gfx_context_t *ctxt, int x, int y, uint32_t color) {
+	if (x < ctxt->width && y < ctxt->height)
+		ctxt->pixels[ctxt->width*y+x] = color;
+}
+
+/// Clear the specified graphic context.
+/// @param ctxt Graphic context to clear.
+/// @param color Color to use.
+void gfx_clear(struct gfx_context_t *ctxt, uint32_t color) {
+	int n = ctxt->width*ctxt->height;
+	while (n)
+		ctxt->pixels[--n] = color;
+}
+
+/// Display the graphic context.
+/// @param ctxt Graphic context to clear.
+void gfx_present(struct gfx_context_t *ctxt) {
+	SDL_UpdateTexture(ctxt->texture, NULL, ctxt->pixels, ctxt->width*sizeof(uint32_t));
+	SDL_RenderCopy(ctxt->renderer, ctxt->texture, NULL, NULL);
+	SDL_RenderPresent(ctxt->renderer);
+}
+
+/// Destroy a graphic window.
+/// @param ctxt Graphic context of the window to close.
+void gfx_destroy(struct gfx_context_t *ctxt) {
+	SDL_ShowCursor(SDL_ENABLE);
+	SDL_DestroyTexture(ctxt->texture);
+	SDL_DestroyRenderer(ctxt->renderer);
+	SDL_DestroyWindow(ctxt->window);
+	free(ctxt->pixels);
+	ctxt->texture = NULL;
+	ctxt->renderer = NULL;
+	ctxt->window = NULL;
+	ctxt->pixels = NULL;
+	SDL_Quit();
+	free(ctxt);
+}
+
+/// If a key was pressed, returns its key code (non blocking call).
+/// List of key codes: https://wiki.libsdl.org/SDL_Keycode
+/// @return the key that was pressed or 0 if none was pressed.
+SDL_Keycode gfx_keypressed() {
+	SDL_Event event;
+	if (SDL_PollEvent(&event)) {
+		if (event.type == SDL_KEYDOWN)
+			return event.key.keysym.sym;
+	}
+	return 0;
+}
+