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Test "Forensics" |
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L'algorithme "forensics" (médecine légale) a été inventé par Mike Sebastian pour fournir rapidement une comparaison de la précision des calculatrices scientifiques.
Il s'agit d'appliquer le calcul suivant et d'observer le résultat obtenu :
arcsin(arccos(arctan(tan(cos(sin(9))))))
(Voir "Calculator Forensics" de Mike Sebastian)
Mais... la précision du calcul (nombre de décimale après la virgule) influencera le résultat final...
Exemple, avec 33 décimales :
| 9 |
SIN | 0.15643446504023086901010531946717 |
COS | 0.99999627274288502411751620501135 |
TAN | 0.017454999855488660791394140928348 |
ATAN | 0.99999627274288502411751620501135 |
ACOS | 0.15643446504023086901010531946717 |
ASIN | 9 |
J'ai donc utilisé cette simple formule pour tester chaque calculatrice en ma possession.
Mais pour faire mes premiers pas de programmation sur la plupart d'entre elles, j'ai décidé de saisir la séquence arcsin(arccos(arctan(tan(cos(sin(9)))))) sous forme de programme.
Sur chaque calculatrice il faut choisir le mode "Degré" puis lancer le programme avec RST suivi de R/S. Sauf pour les calculatrices qui peuvent utiliser des touches de lancement de programme. (TI-58C, TI-59, TI-66, TI-95, TI-65)
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Les programmes |
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SR-52 | |
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SR-56 | |
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TI-53 | |
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TI-53slanted | |
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TI-55 | |
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TI-55II | |
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TI-55III | |
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TI-56 | |
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TI-57 | |
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TI-57II | |
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TI-57LCD | |
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TI-58C | |
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TI-59 | |
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TI-60 | |
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TI-60X | |
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TI-62 | |
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TI-65 | |
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TI-66 | |
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TI-67 | |
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TI-68 | |
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TI-73explorer | |
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TI-76fr | |
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TI-80 | |
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TI-81 | |
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TI-82 | |
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TI-82Advanced | |
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TI-82Plus | |
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TI-82Stats | |
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TI-82statsfr | |
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TI-83 | |
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TI-83Plus | |
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TI-83PlusSE | |
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TI-83PremiumCE | |
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TI-83plusfr | |
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TI-84PlusCE | |
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TI-84PlusCE-T | |
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TI-84PlusCSE | |
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TI-84PlusSE | |
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TI-84PlusT | |
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TI-84plus | |
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TI-84pocketfr | |
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TI-85 | |
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TI-86 | |
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TI-89 | |
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TI-89titanium | |
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TI-92 | |
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TI-95 | |
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TI-nspire | |
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TI-nspireCAS | |
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TI-nspireCX | |
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TI-nspireCXCAS | |
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TI-nspireCXII-T | |
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TI-nspireCXII-TCAS | |
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TI-nspireCXIICAS | |
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Voyage-200 | |
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HP-10C | |
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HP-11C | |
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HP-15C | |
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HP-20S | |
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HP-21S | |
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HP-25 | |
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HP-28C | |
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HP-28S | |
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HP-29C | |
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HP-30B | |
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HP-30S | |
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HP-32S | |
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HP-32SII | |
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HP-33E | |
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HP-33S | |
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HP-34C | |
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HP-35S | |
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HP-38G | |
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HP-39G | |
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HP-39GII | |
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HP-39GS | |
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HP-39Gplus | |
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HP-40G | |
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HP-40GS | |
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HP-41C | |
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HP-42S | |
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HP-48G | |
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HP-48GII | |
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HP-48GX | |
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HP-48S | |
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HP-48SX | |
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HP-49G | |
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HP-49Gplus | |
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HP-50G | |
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HP-55 | |
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HP-97 | |
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HP-9G | |
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HP-Prime | |
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PX15C | |
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PX41C | |
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PX41CX | |
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WP-34S | |
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DM42 | |
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Les résultats |
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Calculatrice | Affiché | Interne |
SR-52 | 9.000004661 | 9.00000466131 |
TI-58C | 9.000004661 | 9.000004661314 |
TI-58 | 9.000004661 | 9.000004661314 |
TI-59 | 9.000004661 | 9.000004661314 |
TI-66 | 9.000002295 | 9.000002294775 |
TI-95 | 8.999999738 | 8.999999738296 |
SR-56 | 9.000004661 | 9.00000466131 |
TI-57 | 9.0047464 | 9.0047463834 |
EC-4000 | 9.0047464 | 9.0047463834 |
TI-57 LCD | 9.1146406 | 9.114640577 |
TI-57 II | 9.1146406 | 9.114640577 |
TI-62 Galaxy | 9.00044229369 | 9.00044229369 |
The MBA | (*) | (*) |
TI-42 MBA | (*) | (*) |
BA-55 | (*) | (*) |
BA-54 | (*) | (*) |
TI-55 | 9.0077265 | 9.007726486 |
TI-55 II | 9.1146406 | 9.114640577 |
TI-55 III | 9.1770871 | 9.177087088 |
TI-53 slimline | 9.1770871 | 9.177087088 |
TI-53 slanted | 9.1146406 | 9.114640577 |
TI-56 | 9.11464058 | 9.114640577 |
TI-65 | 9.000442294 | 9.00044229369 |
TI-68 | 8.999999008 | 8.999999007884 |
TI-60 | 9.000442294 | 9.00044229369 |
TI-60X | 8.999999008 | 8.999999008 |
TI-67 Galaxy | 8.999999008 | 8.999999007884 |
TI-73 Explorer | 8.99999997 | 8.9999999695957 |
TI-76 .fr | 8.99999997 | 8.9999999695957 |
TI-80 | 8.999999008 | 8.999999007884 |
TI-81 | 8.999999617 | 8.9999999616566 |
TI-82 | 8.99999997 | 8.9999999695957 |
TI-82 Stats.fr | 8.99999997 | 8.9999999695957 |
TI-82 Stats | 8.99999997 | 8.9999999695957 |
TI-82 Plus | 8.99999997 | 8.9999999695957 |
TI-82 Advanced | 8.99999997 | 8.9999999695957 |
TI-83 | 8.99999997 | 8.9999999695957 |
TI-83 Plus.fr | 8.99999997 | 8.9999999695957 |
TI-83 Plus | 8.99999997 | 8.9999999695957 |
TI-83 Plus SE | 8.99999997 | 8.9999999695957 |
TI-84 Plus | 8.99999997 | 8.9999999695957 |
TI-84 Plus T | 8.99999997 | 8.9999999695957 |
TI-84 Plus SE | 8.99999997 | 8.9999999695957 |
TI-84 Plus C SE | 8.99999997 | 8.9999999695957 |
TI-84 Pocket.fr | 8.99999997 | 8.9999999695957 |
TI-85 | 8.9999999696 | 8.9999999695957 |
TI-86 | 8.9999999696 | 8.9999999695957 |
TI-89 | 8.99999998177 | 8.9999999817692 |
TI-89 Titanium | 8.99999998177 | 8.9999999817692 |
TI-92 | 8.99999998177 | 8.999999981769 |
Voyage 200 | 8.99999998177 | 8.9999999817692 |
TI-nspire | 8.99999998177 | 8.9999999817691 |
TI-nspire CAS | 8.99999998177 | 8.9999999817691 |
TI-nspire CX | 8.99999998177 | 8.9999999817691 |
TI-nspire CX CAS | 8.99999998177 | 8.9999999817691 |
TI-nspire CX II-T | 8.99999998177 | 8.9999999817691 |
TI-nspire CX II-T CAS | 8.99999998177 | 8.9999999817691 |
TI-83 PremiumCE | 8.99999997 | 8.9999999695957 |
TI-84 Plus CE-T | 8.99999997 | 8.9999999695957 |
HP 9G | 9. | 9. |
HP-20S | 8.99999864267 | 8.99999864267 |
HP-21S | 8.99999864267 | 8.99999864267 |
HP-30b | 8.99999864267 | 8.99999864267 |
HP 30S | 9. | 9. |
HP-32S | 8.99999864267 | 8.99999864267 |
HP-32S II | 8.99999864267 | 8.99999864267 |
HP-33S | 8.99999986001 | 8.99999986001 |
HP-35S | 8.99999986001 | 8.99999986001 |
HP 38G | 8.99999864267 | 8.99999864267 |
HP 39G | 8.99999864267 | 8.99999864267 |
HP 39G+ | 8.99999864267 | 8.99999864267 |
HP-39G II | 8.99999864267 | 8.99999864267 |
HP 39GS | 8.99999864267 | 8.99999864267 |
HP 40G | 8.99999864267 | 8.99999864267 |
HP 40GS | 8.99999864267 | 8.99999864267 |
HP 11C | 9.000417403 | 9.000417403 |
HP-12C | (*) | (*) |
HP-12C Platinum | (*) | (*) |
HP-12C P. Silver | (*) | (*) |
HP-15C | 9.9000417403 | 9.9000417403 |
HP 25 | 9.004076649 | 9.004076649 |
HP 33E | 9.000417403 | 9.000417403 |
HP 34C | 9.000417403 | 9.000417403 |
HP 55 | 9.004076898 | 9.004076898 |
HP 28S | 8.99999864267 | 8.99999864267 |
HP 28C | 8.99999864267 | 8.99999864267 |
HP-41C | 9.9000417403 | 9.9000417403 |
HP-42S | 8.99999864267 | 8.99999864267 |
HP 48SX | 8.99999864267 | 8.99999864267 |
HP 48S | 8.99999864267 | 8.99999864267 |
HP 48G | 8.99999864267 | 8.99999864267 |
HP-49G | 8.99999864267 | 8.99999864267 |
HP 49G+ | 8.99999864267 | 8.99999864267 |
HP 50G | 8.99999864267 | 8.99999864267 |
HP Prime | 8.99999864267 | 8.99999864267 |
WP 34S | 9.00000000003 | 9.000000000029361 |
PX15C | 9.000417403 | 9.000417403 |
PX41C | 9.000417403 | 9.000417403 |
DM42 | 9.00000000000 | 8.999999999999999999999999999937534 |
(Voir Résultats par Circuits Intégrés de DATAMATH)
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(*) Les calculatrices The MBA, BA-55, BA-54... n'ont pu faire l'objet de ce test en raison de l'absence de fonctions trigonométriques (Sin, Cos, Tan) sur ces machines.
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