From 064958f48a3014f8a356edbfe0f14ec6280efdd3 Mon Sep 17 00:00:00 2001 From: ACKERMANNGUE <gawen.ackermann@etu.hesge.ch> Date: Mon, 20 Dec 2021 14:05:04 +0100 Subject: [PATCH] =?UTF-8?q?image=20et=20syst=C3=A8me=20update?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- README.md | 45 +++++++++++++++++++++++++++++++++++++ README.pdf | Bin 0 -> 75930 bytes assets/planetarysystem.png | Bin 0 -> 39211 bytes 3 files changed, 45 insertions(+) create mode 100644 README.pdf create mode 100644 assets/planetarysystem.png diff --git a/README.md b/README.md index 6edfe2e..5b46112 100644 --- a/README.md +++ b/README.md @@ -115,6 +115,41 @@ void vector2_print(Vector2 v); :TODO: Décrire le système de mise à jour étape par étape +##### Algorithme + +1. Pour tous les objets célèstes, les mettrent à jour + 1. Calcul de l'interval de multiplication (si il y a eu un changement de vitesse de simulation) + 2. Calculer la nouvelle position + 3. Calculer l'accélération grativationnelle + 4. Ajouter l'accélération gravitationnelle + 5. Stocker l'ancienne position + 6. Mettre à jour la position par la nouvelle position + 7. Mettre à jour l'ancienne position + 1. si la distance est supérieure ou égale à un seuil (pour stocker tous les x écarts) +2. Stocker l'interval + +##### Calcul de l'accélération gravitationnelle + +On calcul l'accélération gravitationnelle de la planète i en fonction de toutes les planètes sauf elle-même. + +```c +Vector2 calculate_gravitational_acceleration(int32_t object_index, CelestialObject **objects, int32_t objects_length) { + Vector2 a = vector2_create_zero(); + + for (int32_t i = 0; i < objects_length; i += 1) { + if (i == object_index) { + continue; + } + + Vector2 r = vector2_substract((i < object_index) ? objects[i]->previous_position : objects[i]->position, objects[object_index]->position); + double a_scalar = G * objects[i]->mass * pow(pow(vector2_norm(r), 2), -1); + a = vector2_add(a, vector2_multiply(vector2_normalize(r), a_scalar)); + } + + return a; +} +``` + ### OpenGL #### Afficher un cercle de couleur @@ -170,3 +205,13 @@ Pour rapeticir la taille des objets célestes afin de voir le système dans son #### Afficher / Cacher les noms des objets célèstes Pour Afficher ou Cacher le nom des objets célèstes, il faut appuyer sur la touche `t` + + +### Résultat + +#### Système solaire + + + + +#### Terre, Lune, Apollon 11 diff --git a/README.pdf b/README.pdf new file mode 100644 index 0000000000000000000000000000000000000000..5feb380c44fc312b23b799117afeda36100d4000 GIT binary patch literal 75930 zcmY!laB<T$)HC5yz5M#+LoP!F1BLvgEG`=xednUo#FG3X1r6tnqWs*<(p*h0{eYtU zl+xtXA_a}$?94>{02eofTnhtDE{NjH{5+S$l2io^7b_zJBSS+YBLhPtQ%gfLZ36>! z0|RwUE`8tp6#Po;?6^|%Qb0~HMmQxoQNfT)-^o`&-!H!?H!%mH$O56rEi<PiwMaqV zEhn)g)g?7KKP8n*-zPOMy(B}y)X3b@&Q77Yq$o8pm#bpV+t|D7?(E>*XYX%#o%Pk# z|NH?W9_P&V-cxdrU+^|BFoAnZZT*5Ns?k$Y`&|2rCrzHqD>lRVrjTdg74@!3>PsL0 zx$k>m|9$@#=M$cYr1m`gwmm-n-{(oErgA=7wzgyY|9_94uHV1=uk?$wNqll&ceZ`g zuL!(%Y5)E|Kd06I`96KR{J%B%`~T#xJMUgQIcR0b-Sft-OWZ&6SA2Q=e7d~d%;-I} z|0K0$Sxzy3t1iD}lljv8`SrCwn+0zD`}pl=yguJ4`~QF0SVXt6Y*zg-^Fer%n6cu8 zQV&bvFJ2pdPTe8ov+j%k{O^+6o&3Gn`YonM?|Tv^veInrH~$yhaWCf?l)DBVyw6nP zsLcA);7d_$#0%Z>=(5woA*E3ocgiB<{&D{M``p#beCL<>J5MgjOg)%1b<5=D@Ksk| 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