Mystère ou ignorance ? Addition de deux nombres réels en C
Bonjour,
Je calcule la somme de deux nombres réels (double) en C et il y a quelque chose qui m'échappe ou alors un beug dans le code.
Intéressons-nous aux colonnes (3,4 et 5) : le problème se situe au niveau de la colonne 5 qui est le résultat de colonne 3 + colonne 4. Tout se passe bien au début du calcul comme on peut le constater ci-dessous (détail du fichier résultat). Le problème apparaît pour de très faibles valeurs de la colonne 4.
Code:
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// ZONE OU SE SITUE LE PROBLEME
//col1 col2 col3 col4 col5 col6
4.723359e-06 9.979926e+01 -4.183446e-05 1.531975e-73 -4.183446e-05 1.284126e-05
4.737459e-06 9.999964e+01 -4.166697e-05 1.092220e-73 0.000000e+00 |
Je m'attends à avoir le résultat de la colonne 3 en colonne 5 en additionnant les colonnes 3 et 4 au lieu de 0.0 puisque les valeurs de la colonne 4 sont négligeables. Plus inquiétant encore c'est qu'il arrive à faire correctement le calcul pour certaines valeurs alors que l'ordre de grandeur est le même. Je ne comprends pas.
Quelqu'un a déjà rencontré ce problème?
Code:
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//DÉTAIL DU FICHIER
//col1 col2 col3 col4 col5 col6
1.395900e-08 1.000000e+00 -4.166667e-01 1.064400e+00 6.477336e-01 1.284126e-05
2.805900e-08 1.000000e+00 -4.166667e-01 7.794049e-01 3.627383e-01 1.284126e-05
4.215900e-08 1.000000e+00 -4.166667e-01 4.658115e-01 4.914488e-02 1.284126e-05
5.625900e-08 1.260874e+00 -2.620868e-01 2.496535e-01 -1.243334e-02 1.284126e-05
7.035900e-08 1.689442e+00 -1.459829e-01 1.280886e-01 -1.789437e-02 1.284126e-05
8.445900e-08 2.112526e+00 -9.336508e-02 6.449340e-02 -2.887168e-02 1.284126e-05
9.855900e-08 2.527031e+00 -6.524806e-02 3.247828e-02 -3.276978e-02 1.284126e-05
1.126590e-07 2.931700e+00 -4.847856e-02 1.651284e-02 -3.196572e-02 1.284126e-05
1.267590e-07 3.326708e+00 -3.764951e-02 8.504337e-03 -2.914518e-02 1.284126e-05
1.408590e-07 3.712876e+00 -3.022511e-02 4.438203e-03 -2.578691e-02 1.284126e-05
1.549590e-07 4.091207e+00 -2.489349e-02 2.345061e-03 -2.254843e-02 1.284126e-05
1.690590e-07 4.462679e+00 -2.092172e-02 1.252983e-03 -1.966874e-02 1.284126e-05
1.831590e-07 4.828167e+00 -1.787410e-02 6.761296e-04 -1.719797e-02 1.284126e-05
1.972590e-07 5.188421e+00 -1.547813e-02 3.680468e-04 -1.511008e-02 1.284126e-05
2.113590e-07 5.544076e+00 -1.355596e-02 2.018932e-04 -1.335407e-02 1.284126e-05
2.254590e-07 5.895668e+00 -1.198734e-02 1.115081e-04 -1.187583e-02 1.284126e-05
2.395590e-07 6.243647e+00 -1.068838e-02 6.196308e-05 -1.062642e-02 1.284126e-05
2.536590e-07 6.588394e+00 -9.599081e-03 3.461993e-05 -9.564461e-03 1.284126e-05
2.677590e-07 6.930231e+00 -8.675477e-03 1.943795e-05 -8.656039e-03 1.284126e-05
2.818590e-07 7.269436e+00 -7.884740e-03 1.096236e-05 -7.873778e-03 1.284126e-05
2.959590e-07 7.606246e+00 -7.201916e-03 6.207442e-06 -7.195709e-03 1.284126e-05
3.100590e-07 7.940868e+00 -6.607738e-03 3.527974e-06 -6.604210e-03 1.284126e-05
3.241590e-07 8.273482e+00 -6.087123e-03 2.011919e-06 -6.085111e-03 1.284126e-05
3.382590e-07 8.604247e+00 -5.628116e-03 1.150938e-06 -5.626965e-03 1.284126e-05
3.523590e-07 8.933301e+00 -5.221134e-03 6.603100e-07 -5.220474e-03 1.284126e-05
3.664590e-07 9.260768e+00 -4.858417e-03 3.798459e-07 -4.858037e-03 1.284126e-05
3.805590e-07 9.586758e+00 -4.533621e-03 2.190533e-07 -4.533402e-03 1.284126e-05
3.946590e-07 9.911371e+00 -4.241518e-03 1.266201e-07 -4.241391e-03 1.284126e-05
4.087590e-07 1.023469e+01 -3.977764e-03 7.335009e-08 -3.977691e-03 1.284126e-05
4.228590e-07 1.055681e+01 -3.738725e-03 4.257800e-08 -3.738682e-03 1.284126e-05
4.369590e-07 1.087779e+01 -3.521338e-03 2.476299e-08 -3.521313e-03 1.284126e-05
4.510590e-07 1.119770e+01 -3.323009e-03 1.442798e-08 -3.322994e-03 1.284126e-05
4.651590e-07 1.151659e+01 -3.141526e-03 8.420710e-09 -3.141518e-03 1.284126e-05
4.792590e-07 1.183454e+01 -2.974995e-03 4.922569e-09 -2.974990e-03 1.284126e-05
4.933590e-07 1.215158e+01 -2.821782e-03 2.882026e-09 -2.821779e-03 1.284126e-05
5.074590e-07 1.246776e+01 -2.680476e-03 1.689790e-09 -2.680474e-03 1.284126e-05
5.215590e-07 1.278313e+01 -2.549850e-03 9.921217e-10 -2.549849e-03 1.284126e-05
5.356590e-07 1.309772e+01 -2.428831e-03 5.832641e-10 -2.428831e-03 1.284126e-05
5.497590e-07 1.341158e+01 -2.316483e-03 3.433261e-10 -2.316483e-03 1.284126e-05
5.638590e-07 1.372473e+01 -2.211981e-03 2.023319e-10 -2.211981e-03 1.284126e-05
5.779590e-07 1.403721e+01 -2.114596e-03 1.193754e-10 -2.114596e-03 1.284126e-05
5.920590e-07 1.434904e+01 -2.023685e-03 7.050772e-11 -2.023685e-03 1.284126e-05
6.061590e-07 1.466026e+01 -1.938676e-03 4.168783e-11 -1.938676e-03 1.284126e-05
6.202590e-07 1.497090e+01 -1.859059e-03 2.467254e-11 -1.859059e-03 1.284126e-05
6.343590e-07 1.528096e+01 -1.784380e-03 1.461614e-11 -1.784380e-03 1.284126e-05
6.484590e-07 1.559049e+01 -1.714231e-03 8.666602e-12 -1.714231e-03 1.284126e-05
6.625590e-07 1.589949e+01 -1.648246e-03 5.143362e-12 -1.648246e-03 1.284126e-05
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7.048590e-07 1.682358e+01 -1.472150e-03 1.080415e-12 -1.472150e-03 1.284126e-05
7.189590e-07 1.713069e+01 -1.419839e-03 6.432469e-13 -1.419839e-03 1.284126e-05
7.330590e-07 1.743737e+01 -1.370335e-03 3.832491e-13 -1.370335e-03 1.284126e-05
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7.753590e-07 1.835497e+01 -1.236749e-03 8.139208e-14 -1.236749e-03 1.284126e-05
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1.226559e-06 2.798047e+01 -5.322046e-04 7.111063e-21 -5.322046e-04 1.284126e-05
1.240659e-06 2.827780e+01 -5.210716e-04 4.304213e-21 -5.210716e-04 1.284126e-05
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1.268859e-06 2.887199e+01 -4.998448e-04 1.578185e-21 -4.998448e-04 1.284126e-05
1.282959e-06 2.916886e+01 -4.897223e-04 9.560010e-22 -4.897223e-04 1.284126e-05
1.297059e-06 2.946558e+01 -4.799090e-04 5.792523e-22 -4.799090e-04 1.284126e-05
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1.395759e-06 3.153867e+01 -4.188920e-04 1.748287e-23 -4.188920e-04 1.284126e-05
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1.508559e-06 3.390031e+01 -3.625613e-04 3.241574e-25 -3.625613e-04 1.284126e-05
1.522659e-06 3.419500e+01 -3.563392e-04 1.970847e-25 -3.563392e-04 1.284126e-05
1.536759e-06 3.448958e+01 -3.502781e-04 1.198475e-25 -3.502781e-04 1.284126e-05
1.550859e-06 3.478405e+01 -3.443724e-04 7.289260e-26 -3.443724e-04 1.284126e-05
1.564959e-06 3.507842e+01 -3.386169e-04 4.434192e-26 -3.386169e-04 1.284126e-05
1.579059e-06 3.537269e+01 -3.330064e-04 2.697870e-26 -3.330064e-04 1.284126e-05
1.593159e-06 3.566685e+01 -3.275361e-04 1.641730e-26 -3.275361e-04 1.284126e-05
1.607259e-06 3.596092e+01 -3.222012e-04 9.992065e-27 -3.222012e-04 1.284126e-05
1.621359e-06 3.625489e+01 -3.169974e-04 6.082480e-27 -3.169974e-04 1.284126e-05
1.635459e-06 3.654876e+01 -3.119202e-04 3.703196e-27 -3.119202e-04 1.284126e-05
1.649559e-06 3.684253e+01 -3.069656e-04 2.254977e-27 -3.069656e-04 1.284126e-05
1.663659e-06 3.713622e+01 -3.021297e-04 1.373334e-27 -3.021297e-04 1.284126e-05
1.677759e-06 3.742981e+01 -2.974086e-04 8.365217e-28 -2.974086e-04 1.284126e-05
1.691859e-06 3.772331e+01 -2.927987e-04 5.096179e-28 -2.927987e-04 1.284126e-05
1.705959e-06 3.801672e+01 -2.882965e-04 3.105112e-28 -2.882965e-04 1.284126e-05
1.720059e-06 3.831005e+01 -2.838987e-04 1.892231e-28 -2.838987e-04 1.284126e-05
1.734159e-06 3.860329e+01 -2.796019e-04 1.153279e-28 -2.796019e-04 1.284126e-05
1.748259e-06 3.889644e+01 -2.754032e-04 7.030023e-29 -2.754032e-04 1.284126e-05
1.762359e-06 3.918951e+01 -2.712996e-04 4.285885e-29 -2.712996e-04 1.284126e-05
1.776459e-06 3.948250e+01 -2.672880e-04 2.613272e-29 -2.672880e-04 1.284126e-05
1.790559e-06 3.977540e+01 -2.633659e-04 1.593633e-29 -2.633659e-04 1.284126e-05
1.804659e-06 4.006823e+01 -2.595305e-04 9.719654e-30 -2.595305e-04 1.284126e-05
1.818759e-06 4.036098e+01 -2.557793e-04 5.928857e-30 -2.557793e-04 1.284126e-05
1.832859e-06 4.065365e+01 -2.521098e-04 3.616997e-30 -2.521098e-04 1.284126e-05
1.846959e-06 4.094624e+01 -2.485196e-04 2.206894e-30 -2.485196e-04 1.284126e-05
1.861059e-06 4.123876e+01 -2.450065e-04 1.346698e-30 -2.450065e-04 1.284126e-05
1.875159e-06 4.153120e+01 -2.415682e-04 8.218897e-31 -2.415682e-04 1.284126e-05
1.889259e-06 4.182357e+01 -2.382026e-04 5.016613e-31 -2.382026e-04 1.284126e-05
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