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1   /*
2    * Licensed to the Apache Software Foundation (ASF) under one or more
3    * contributor license agreements.  See the NOTICE file distributed with
4    * this work for additional information regarding copyright ownership.
5    * The ASF licenses this file to You under the Apache License, Version 2.0
6    * (the "License"); you may not use this file except in compliance with
7    * the License.  You may obtain a copy of the License at
8    *
9    *      http://www.apache.org/licenses/LICENSE-2.0
10   *
11   * Unless required by applicable law or agreed to in writing, software
12   * distributed under the License is distributed on an "AS IS" BASIS,
13   * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
14   * See the License for the specific language governing permissions and
15   * limitations under the License.
16   */
17  
18  package org.apache.commons.math;
19  
20  import java.util.ListResourceBundle;
21  
22  /** 
23   * French localization message resources for the commons-math library.
24   * @version $Revision: 796546 $ $Date: 2009-07-21 17:38:55 -0400 (Tue, 21 Jul 2009) $
25   * @since 1.2
26   */
27  public class MessagesResources_fr
28    extends ListResourceBundle {
29  
30    /** 
31     * Simple constructor.
32     */
33    public MessagesResources_fr() {
34    }
35  
36    /** 
37     * Get the non-translated/translated messages arrays from this resource bundle.
38     * @return non-translated/translated messages arrays
39     */
40    @Override
41    public Object[][] getContents() {
42      return contents.clone();
43    }
44  
45    /** Non-translated/translated messages arrays. */
46    private static final Object[][] contents = {
47  
48      // org.apache.commons.math.util.MathUtils
49      { "must have n >= k for binomial coefficient (n,k), got n = {0}, k = {1}",
50        "n doit \u00eatre sup\u00e9rieur ou \u00e9gal \u00e0 k " +
51        "pour le coefficient du bin\u00f4me (n,k), or n = {0}, k = {1}" },
52      { "must have n >= 0 for binomial coefficient (n,k), got n = {0}",
53        "n doit \u00eatre positif pour le coefficient du bin\u00f4me (n,k), or n = {0}" },
54      { "must have n >= 0 for n!, got n = {0}",
55        "n doit \u00eatre positif pour le calcul de n!, or n = {0}" },
56      { "overflow: gcd({0}, {1}) is 2^31",
57        "d\u00e9passement de capacit\u00e9 : le PGCD de {0} et {1} vaut 2^31" },
58      { "cannot raise an integral value to a negative power ({0}^{1})",
59        "impossible d''\u00e9lever une valeur enti\u00e8re " +
60        "\u00e0 une puissance n\u00e9gative ({0}^{1})" },
61      { "invalid rounding method {0}, valid methods: {1} ({2}), {3} ({4})," +
62         " {5} ({6}), {7} ({8}), {9} ({10}), {11} ({12}), {13} ({14}), {15} ({16})",
63        "m\u00e9thode d''arondi {0} invalide, m\u00e9thodes valides : {1} ({2}), {3} ({4})," +
64         " {5} ({6}), {7} ({8}), {9} ({10}), {11} ({12}), {13} ({14}), {15} ({16})" },
65  
66      // org.apache.commons.math.FunctionEvaluationException
67      { "evaluation failed for argument = {0}",
68        "erreur d''\u00e9valuation pour l''argument {0}" },
69  
70      // org.apache.commons.math.DuplicateSampleAbscissaException
71      { "Abscissa {0} is duplicated at both indices {1} and {2}",
72        "Abscisse {0} dupliqu\u00e9e aux indices {1} et {2}" },
73  
74      // org.apache.commons.math.ConvergenceException
75      { "Convergence failed",
76        "\u00c9chec de convergence" },
77  
78      // org.apache.commons.math.ArgumentOutsideDomainException
79      { "Argument {0} outside domain [{1} ; {2}]",
80        "Argument {0} hors du domaine [{1} ; {2}]" },
81  
82      // org.apache.commons.math.MaxIterationsExceededException
83      { "Maximal number of iterations ({0}) exceeded",
84        "Nombre maximal d''it\u00e9rations ({0}) d\u00e9pass\u00e9" },
85  
86      // org.apache.commons.math.MaxEvaluationsExceededException
87      { "Maximal number of evaluations ({0}) exceeded",
88        "Nombre maximal d''\u00e9valuations ({0}) d\u00e9pass\u00e9" },
89  
90      // org.apache.commons.math.analysis.interpolation.SplineInterpolator
91      // org.apache.commons.math.analysis.polynomials.PolynomialFunctionLagrangeForm
92      // org.apache.commons.math.DimensionMismatchException
93      // org.apache.commons.math.optimization.LeastSquaresConverter
94      // org.apache.commons.math.optimization.direct.DirectSearchOptimizer
95      // org.apache.commons.math.optimization.general.AbstractLeastSquaresOptimizer
96      // org.apache.commons.math.ode.ContinuousOutputModel
97      // org.apache.commons.math.random.UncorrelatedRandomVectorGenerator
98      // org.apache.commons.math.stat.regression.AbstractMultipleLinearRegression
99      // org.apache.commons.math.stat.inference.ChiSquareTestImpl
100     { "dimension mismatch {0} != {1}",
101       "dimensions incompatibles {0} != {1}" },
102 
103     // org.apache.commons.math.linear.decomposition.NotPositiveDefiniteMatrixException
104     { "not positive definite matrix",
105       "matrice non d\u00e9finie positive" },
106 
107     // org.apache.commons.math.linear.decomposition.NotSymmetricMatrixException
108     { "not symmetric matrix",
109       "matrice non symm\u00e9trique" },
110 
111     // org.apache.commons.math.fraction.FractionConversionException
112     { "Unable to convert {0} to fraction after {1} iterations",
113       "Impossible de convertir {0} en fraction apr\u00e8s {1} it\u00e9rations" },
114     { "Overflow trying to convert {0} to fraction ({1}/{2})",
115       "D\u00e9passement de capacit\u00e9 lors de la conversion de {0} en fraction ({1}/{2})" },
116 
117     // org.apache.commons.math.fraction.BigFraction
118     { "numerator is null",
119       "le num\u00e9rateur est null" },
120     { "denimonator is null",
121       "le d\u00e9nominateur est null" },
122     { "denominator must be different from 0",
123       "le d\u00e9nominateur doit \u00eatre diff\u00e9rent de 0" },
124     { "cannot convert NaN value",
125       "les valeurs NaN ne peuvent \u00eatre converties" },
126     { "cannot convert infinite value",
127       "les valeurs infinies ne peuvent \u00eatre converties" },
128 
129     // org.apache.commons.math.fraction.AbstractFormat
130     { "denominator format can not be null",
131       "le format du d\u00e9nominateur ne doit pas \u00eatre nul" },
132     { "numerator format can not be null",
133       "le format du num\u00e9rateur ne doit pas \u00eatre nul" },
134 
135     // org.apache.commons.math.fraction.FractionFormat
136     { "cannot convert given object to a fraction number: {0}",
137       "impossible de convertir l''objet sous forme d''un nombre rationnel : {0}" },
138 
139     // org.apache.commons.math.fraction.FractionFormat
140     // org.apache.commons.math.fraction.BigFractionFormat
141     { "unparseable fraction number: \"{0}\"",
142       "\u00e9chec d''analyse du nombre rationnel \"{0}\"" },
143     { "cannot format given object as a fraction number",
144       "impossible de formater l''objet sous forme d''un nombre rationnel" },
145 
146     // org.apache.commons.math.fraction.ProperFractionFormat
147     // org.apache.commons.math.fraction.ProperBigFractionFormat
148     { "whole format can not be null",
149       "le format complet ne doit pas \u00eatre nul" },
150 
151     // org.apache.commons.math.analysis.solvers.UnivariateRealSolverUtils
152     { "function is null",
153       "la fonction est nulle" },
154     { "bad value for maximum iterations number: {0}",
155       "valeur invalide pour le nombre maximal d''it\u00e9rations : {0}" },
156     { "invalid bracketing parameters:  lower bound={0},  initial={1}, upper bound={2}",
157       "param\u00e8tres d''encadrement invalides : borne inf\u00e9rieure = {0}, valeur initiale = {1}, borne sup\u00e9rieure = {2}" },
158     { "number of iterations={0}, maximum iterations={1}, initial={2}, lower bound={3}, upper bound={4}," +
159         " final a value={5}, final b value={6}, f(a)={7}, f(b)={8}",
160       "nombre d''it\u00e9rations = {0}, it\u00e9rations maximum = {1}, valeur initiale = {2}," +
161         " borne inf\u00e9rieure = {3}, borne sup\u00e9rieure = {4}," +
162         " valeur a finale = {5}, valeur b finale = {6}, f(a) = {7}, f(b) = {8}" },
163 
164     // org.apache.commons.math.analysis.solvers.LaguerreSolver
165     { "polynomial degree must be positive: degree={0}",
166       "le polyn\u00f4me doit \u00eatre de degr\u00e9 positif : degr\u00e9 = {0}" },
167 
168     // org.apache.commons.math.analysis.solvers.SecantSolver
169     { "function values at endpoints do not have different signs, endpoints: [{0}, {1}], values: [{2}, {3}]",
170       "les valeurs de la fonctions aux bornes sont de m\u00eame signe, bornes : [{0}, {1}], valeurs : [{2}, {3}]" },
171 
172     // org.apache.commons.math.analysis.interpolation.SplineInterpolator
173     // org.apache.commons.math.analysis.polynomials.PolynomialFunctionLagrangeForm
174     { "{0} points are required, got only {1}",
175       "{0} sont n\u00e9cessaires, seuls {1} ont \u00e9t\u00e9 fournis" },
176 
177     // org.apache.commons.math.analysis.interpolation.SplineInterpolator
178     { "points {0} and {1} are not strictly increasing ({2} >= {3})",
179       "les points {0} et {1} ne sont pas strictements croissants ({2} >= {3})" },
180 
181     // org.apache.commons.math.analysis.interpolation.LoessInterpolator
182     { "bandwidth must be in the interval [0,1], but got {0}",
183       "la largeur de bande doit \u00eatre dans l''intervalle [0, 1], alors qu'elle vaut {0}" },
184     { "the number of robustness iterations must be non-negative, but got {0}",
185       "le nombre d''it\u00e9rations robuste ne peut \u00eatre n\u00e9gatif, alors qu''il est de {0}" },
186     { "Loess expects the abscissa and ordinate arrays to be of the same size, " +
187       "but got {0} abscisssae and {1} ordinatae",
188       "la r\u00e9gression Loess n\u00e9cessite autant d''abscisses que d''ordonn\u00e9es, " +
189       "mais {0} abscisses et {1} ordonn\u00e9es ont \u00e9t\u00e9 fournies" },
190     { "Loess expects at least 1 point",
191       "la r\u00e9gression Loess n\u00e9cessite au moins un point" },
192     { "the bandwidth must be large enough to accomodate at least 2 points. There are {0} " +
193       " data points, and bandwidth must be at least {1}  but it is only {2}",
194       "la largeur de bande doit \u00eatre assez grande pour supporter au moins 2 points. Il y a {0}" +
195       "donn\u00e9es et la largeur de bande doit \u00eatre au moins de {1}, or elle est seulement de {2}" },
196     { "all abscissae must be finite real numbers, but {0}-th is {1}",
197       "toutes les abscisses doivent \u00eatre des nombres r\u00e9els finis, mais l''abscisse {0} vaut {1}" },
198     { "all ordinatae must be finite real numbers, but {0}-th is {1}",
199       "toutes les ordonn\u00e9es doivent \u00eatre des nombres r\u00e9els finis, mais l''ordonn\u00e9e {0} vaut {1}" },
200     { "the abscissae array must be sorted in a strictly increasing order, " +
201       "but the {0}-th element is {1} whereas {2}-th is {3}",
202       "les abscisses doivent \u00eatre en ordre strictement croissant, " +
203       "mais l''\u00e9l\u00e9ment {0} vaut {1} alors que l''\u00e9l\u00e9ment {2} vaut {3}" },
204 
205     // org.apache.commons.math.util.ContinuedFraction
206     { "Continued fraction convergents diverged to +/- infinity for value {0}",
207       "Divergence de fraction continue \u00e0 l''infini pour la valeur {0}" },
208     { "Continued fraction convergents failed to converge for value {0}",
209       "\u00c9chec de convergence de fraction continue pour la valeur {0}" },
210 
211     // org.apache.commons.math.util.DefaultTransformer
212     { "Conversion Exception in Transformation, Object is null",
213       "Exception de conversion dans une transformation, l''objet est nul" },
214     { "Conversion Exception in Transformation: {0}",
215       "Exception de conversion dans une transformation : {0}" },
216 
217     // org.apache.commons.math.optimization.MultiStartOptimizer
218     { "no optimum computed yet",
219       "aucun optimum n''a encore \u00e9t\u00e9 calcul\u00e9" },
220 
221     // org.apache.commons.math.optimization.direct.DirectSearchOptimizer
222     { "simplex must contain at least one point",
223       "le simplex doit contenir au moins un point" },
224     { "equals vertices {0} and {1} in simplex configuration",
225       "sommets {0} et {1} \u00e9gaux dans la configuration du simplex" },
226 
227     // org.apache.commons.math.estimation.AbstractEstimation
228     { "maximal number of evaluations exceeded ({0})",
229       "nombre maximal d''\u00e9valuations d\u00e9pass\u00e9 ({0})" },
230 
231     // org.apache.commons.math.optimization.general.AbstractLeastSquaresOptimizer
232     { "unable to compute covariances: singular problem",
233       "impossible de calculer les covariances : probl\u00e8me singulier"},
234     { "no degrees of freedom ({0} measurements, {1} parameters)",
235       "aucun degr\u00e9 de libert\u00e9 ({0} mesures, {1} param\u00e8tres)" },
236 
237     // org.apache.commons.math.optimization.general.GaussNewtonOptimizer
238     { "unable to solve: singular problem",
239       "r\u00e9solution impossible : probl\u00e8me singulier" },
240 
241     // org.apache.commons.math.optimization.general.LevenbergMarquardtEstimator
242     { "cost relative tolerance is too small ({0}), no further reduction in the sum of squares is possible",
243       "trop petite tol\u00e9rance relative sur le co\u00fbt ({0}), aucune r\u00e9duction de la somme des carr\u00e9s n''est possible" },
244     { "parameters relative tolerance is too small ({0}), no further improvement in the approximate solution is possible",
245       "trop petite tol\u00e9rance relative sur les param\u00e8tres ({0}), aucune am\u00e9lioration de la solution approximative n''est possible" },
246     { "orthogonality tolerance is too small ({0}), solution is orthogonal to the jacobian",
247       "trop petite tol\u00e9rance sur l''orthogonalit\u00e9 ({0}), la solution est orthogonale \u00e0 la jacobienne" },
248     { "unable to perform Q.R decomposition on the {0}x{1} jacobian matrix",
249       "impossible de calculer la factorisation Q.R de la matrice jacobienne {0}x{1}" },
250 
251     // org.apache.commons.math.optimization.general.NonLinearConjugateGradientOptimizer
252     { "unable to bracket optimum in line search",
253       "impossible d''encadrer l''optimum lors de la recherche lin\u00e9aire" },
254 
255     // org.apache.commons.math.optimization.fitting.HarmonicCoefficientsGuesser
256     { "unable to first guess the harmonic coefficients",
257       "impossible de faire une premi\u00e8re estimation des coefficients harmoniques" },
258 
259     // org.apache.commons.math.optimization.fitting.HarmonicCoefficientsGuesser
260     { "sample contains {0} observed points, at least {1} are required",
261       "l''\u00e9chantillon ne contient que {0} points alors qu''au moins {1} sont n\u00e9cessaires" },
262 
263     // org.apache.commons.math.optimization.linear.NoFeasibleSolutionException
264     { "no feasible solution",
265       "aucune solution r\u00e9alisable" },
266 
267     // org.apache.commons.math.optimization.linear.UnboundedSolutionException
268     { "unbounded solution",
269       "solution non born\u00e9e" },
270 
271     // org.apache.commons.math.geometry.CardanEulerSingularityException
272     { "Cardan angles singularity",
273       "singularit\u00e9 d''angles de Cardan" },
274     { "Euler angles singularity",
275       "singularit\u00e9 d''angles d''Euler" },
276 
277     // org.apache.commons.math.geometry.Rotation
278     { "a {0}x{1} matrix cannot be a rotation matrix",
279       "une matrice {0}x{1} ne peut pas \u00eatre une matrice de rotation" },
280     { "the closest orthogonal matrix has a negative determinant {0}",
281       "la matrice orthogonale la plus proche a un d\u00e9terminant n\u00e9gatif {0}" },
282     { "unable to orthogonalize matrix in {0} iterations",
283       "impossible de rendre la matrice orthogonale en {0} it\u00e9rations" },
284 
285     // org.apache.commons.math.ode.nonstiff.AdaptiveStepsizeIntegrator
286     { "minimal step size ({0}) reached, integration needs {1}",
287       "pas minimal ({0}) atteint, l''int\u00e9gration n\u00e9cessite {1}" },
288     { "dimensions mismatch: state vector has dimension {0}," +
289       " absolute tolerance vector has dimension {1}",
290       "incompatibilit\u00e9 de dimensions entre le vecteur d''\u00e9tat ({0})," +
291       " et le vecteur de tol\u00e9rance absolue ({1})" },
292     { "dimensions mismatch: state vector has dimension {0}," +
293       " relative tolerance vector has dimension {1}",
294       "incompatibilit\u00e9 de dimensions entre le vecteur d''\u00e9tat ({0})," +
295       " et le vecteur de tol\u00e9rance relative ({1})" },
296 
297     // org.apache.commons.math.ode.nonstiff.AdaptiveStepsizeIntegrator,
298     // org.apache.commons.math.ode.nonstiff.RungeKuttaIntegrator
299     { "dimensions mismatch: ODE problem has dimension {0}," +
300       " initial state vector has dimension {1}",
301       "incompatibilit\u00e9 de dimensions entre le probl\u00e8me ODE ({0})," +
302       " et le vecteur d''\u00e9tat initial ({1})" },
303     { "dimensions mismatch: ODE problem has dimension {0}," +
304       " final state vector has dimension {1}",
305       "incompatibilit\u00e9 de dimensions entre le probl\u00e8me ODE ({0})," +
306       " et le vecteur d''\u00e9tat final ({1})" },
307     { "too small integration interval: length = {0}",
308       "intervalle d''int\u00e9gration trop petit : {0}" },
309 
310     // org.apache.commons.math.ode.MultistepIntegrator
311     { "{0} method needs at least one previous point",
312       "la m\u00e9thode {0} n\u00e9cessite au moins un point pr\u00e9c\u00e9dent" },
313 
314     // org.apache.commons.math.ode.ContinuousOutputModel
315     // org.apache.commons.math.optimization.direct.DirectSearchOptimizer
316     { "unexpected exception caught",
317       "exception inattendue lev\u00e9e" },
318     { "propagation direction mismatch",
319       "directions de propagation incoh\u00e9rentes" },
320     { "{0} wide hole between models time ranges",
321       "trou de longueur {0} entre les domaines temporels des mod\u00e8les" },
322 
323     // org.apache.commons.math.optimization.direct.DirectSearchOptimizer
324     { "none of the {0} start points lead to convergence",
325       "aucun des {0} points de d\u00e9part n''aboutit \u00e0 une convergence"  },
326 
327     // org.apache.commons.math.random.ValueServer
328     { "unknown mode {0}, known modes: {1} ({2}), {3} ({4}), {5} ({6}), {7} ({8}), {9} ({10}) and {11} ({12})",
329       "mode {0} inconnu, modes connus : {1} ({2}), {3} ({4}), {5} ({6}), {7} ({8}), {9} ({10}) et {11} ({12})" },
330     { "digest not initialized",
331       "mod\u00e8le empirique non initialis\u00e9" },
332 
333     // org.apache.commons.math.random.EmpiricalDistributionImpl
334     { "distribution not loaded",
335       "aucune distribution n''a \u00e9t\u00e9 charg\u00e9e" },
336     { "no bin selected",
337       "aucun compartiment s\u00e9lectionn\u00e9" },
338     { "input data comes from unsupported datasource: {0}, supported sources: {1}, {2}",
339       "les donn\u00e9es d''entr\u00e9e proviennent " +
340       "d''une source non support\u00e9e : {0}, sources support\u00e9es : {1}, {2}" },
341 
342     // org.apache.commons.math.random.EmpiricalDistributionImpl
343     // org.apache.commons.math.random.ValueServer
344     { "URL {0} contains no data",
345       "l''adresse {0} ne contient aucune donn\u00e9e" },
346 
347     // org.apache.commons.math.random.AbstractRandomGenerator
348     // org.apache.commons.math.random.BitsStreamGenerator
349     { "upper bound must be positive ({0})",
350       "la borne sup\u00e9rieure doit \u00eatre positive ({0})" },
351 
352     // org.apache.commons.math.random.RandomDataImpl
353     { "length must be positive ({0})",
354       "la longueur doit \u00eatre positive ({0})" },
355     { "upper bound ({0}) must be greater than lower bound ({1})",
356       "la borne sup\u00e9rieure ({0}) doit \u00eatre sup\u00e9rieure" +
357       " \u00e0 la borne inf\u00e9rieure ({1})" },
358     { "permutation k ({0}) exceeds n ({1})",
359       "la permutation k ({0}) d\u00e9passe n ({1})" },
360     { "permutation k ({0}) must be positive",
361       "la permutation k ({0}) doit \u00eatre positive" },
362     { "sample size ({0}) exceeds collection size ({1})",
363       "la taille de l''\u00e9chantillon ({0}) d\u00e9passe la taille de la collection ({1})" },
364 
365     // org.apache.commons.math.linear.decomposition.EigenDecompositionImpl
366     { "cannot solve degree {0} equation",
367       "impossible de r\u00e9soudre une \u00e9quation de degr\u00e9 {0}" },
368     { "eigen decomposition of assymetric matrices not supported yet",
369       "la d\u00e9composition en valeurs/vecteurs propres de matrices " +
370       "non sym\u00e9triques n''est pas encore disponible" },
371 
372     // org.apache.commons.math.linear.decomposition.NonSquareMatrixException
373     // org.apache.commons.math.stat.regression.AbstractMultipleLinearRegression
374     { "a {0}x{1} matrix was provided instead of a square matrix",
375       "une matrice {0}x{1} a \u00e9t\u00e9 fournie \u00e0 la place d''une matrice carr\u00e9e" },
376 
377     // org.apache.commons.math.linear.decomposition.SingularMatrixException
378     { "matrix is singular",
379       "matrice singuli\u00e8re" },
380 
381     // org.apache.commons.math.linear.decomposition.SingularValueDecompositionImpl
382     { "cutoff singular value is {0}, should be at most {1}",
383       "la valeur singuli\u00e8re de coupure vaut {0}, elle ne devrait pas d\u00e9passer {1}" },
384 
385     // org.apache.commons.math.linear.decomposition.CholeskyDecompositionImpl
386     // org.apache.commons.math.linear.decomposition.EigenDecompositionImpl
387     // org.apache.commons.math.linear.decomposition.LUDecompositionImpl
388     // org.apache.commons.math.linear.decomposition.QRDecompositionImpl
389     // org.apache.commons.math.linear.decomposition.SingularValueDecompositionImpl
390     { "dimensions mismatch: got {0}x{1} but expected {2}x{3}",
391       "dimensions erronn\u00e9es : {0}x{1} \u00e0 la place de {2}x{3}" },
392 
393     // org.apache.commons.math.linear.decomposition.CholeskyDecompositionImpl
394     // org.apache.commons.math.linear.decomposition.EigenDecompositionImpl
395     // org.apache.commons.math.linear.decomposition.LUDecompositionImpl
396     // org.apache.commons.math.linear.decomposition.QRDecompositionImpl
397     // org.apache.commons.math.linear.decomposition.SingularValueDecompositionImpl
398     // org.apache.commons.math.linear.ArrayRealVector
399     // org.apache.commons.math.linear.SparseRealVector
400     { "vector length mismatch: got {0} but expected {1}",
401       "dimension de vecteur erronn\u00e9e : {0} \u00e0 la place de {1}" },
402       
403     // org.apache.commons.math.linear.ArrayRealVector
404     // org.apache.commons.math.linear.ArrayFieldVector
405     // org.apache.commons.math.linear.SparseRealVector
406     { "index {0} out of allowed range [{1}, {2}]",
407       "index {0} hors de la plage autoris\u00e9e [{1}, {2}]" },
408     { "vector must have at least one element",
409       "un vecteur doit comporter au moins un \u00e9l\u00e9ment" },
410     { "position {0} and size {1} don't fit to the size of the input array {2}",
411       "la position {0} et la taille {1} sont incompatibles avec la taille du tableau d''entr\u00e9e {2}"},
412 
413     // org.apache.commons.math.linear.AbstractRealMatrix
414     // org.apache.commons.math.linear.AbstractFieldMatrix
415     { "invalid row dimension: {0} (must be positive)",
416       "nombre de lignes invalide : {0} (doit \u00eatre positif)" },
417     { "invalid column dimension: {0} (must be positive)",
418       "nombre de colonnes invalide : {0} (doit \u00eatre positif)" },
419     { "vector length mismatch: got {0} but expected {1}",
420       "taille de vecteur invalide : {0} au lieu de {1} attendue" },
421     { "dimensions mismatch: got {0}x{1} but expected {2}x{3}",
422       "dimensions incoh\u00e9rentes : {0}x{1} \u00e0 la place de {2}x{3}" },
423     { "matrix must have at least one row",
424       "une matrice doit comporter au moins une ligne" },
425     { "matrix must have at least one column",
426       "une matrice doit comporter au moins une colonne" },
427 
428     // org.apache.commons.math.linear.AbstractRealMatrix
429     // org.apache.commons.math.linear.AbstractFieldMatrix
430     // org.apache.commons.math.stat.inference.ChiSquareTestImpl      
431     { "some rows have length {0} while others have length {1}",
432       "certaines lignes ont une longueur de {0} alors que d''autres ont une longueur de {1}" },
433 
434     // org.apache.commons.math.linear.MatrixUtils
435     { "row index {0} out of allowed range [{1}, {2}]",
436       "index de ligne {0} hors de la plage autoris\u00e9e [{1}, {2}]" },
437     { "column index {0} out of allowed range [{1}, {2}]",
438       "index de colonne {0} hors de la plage autoris\u00e9e [{1}, {2}]" },
439     { "initial row {0} after final row {1}",
440       "ligne initiale {0} apr\u00e8s la ligne finale {1}" },
441     { "initial column {0} after final column {1}",
442       "colonne initiale {0} apr\u00e8s la colonne finale {1}" },
443     { "empty selected row index array",
444       "tableau des indices de lignes s\u00e9lectionn\u00e9es vide" },
445     { "empty selected column index array",
446       "tableau des indices de colonnes s\u00e9lectionn\u00e9es vide" },
447     { "{0}x{1} and {2}x{3} matrices are not addition compatible",
448       "les dimensions {0}x{1} et {2}x{3} sont incompatibles pour l'addition matricielle" },
449     { "{0}x{1} and {2}x{3} matrices are not subtraction compatible",
450       "les dimensions {0}x{1} et {2}x{3} sont incompatibles pour la soustraction matricielle" },
451     { "{0}x{1} and {2}x{3} matrices are not multiplication compatible",
452       "les dimensions {0}x{1} et {2}x{3} sont incompatibles pour la multiplication matricielle" },
453 
454     // org.apache.commons.math.linear.BlockRealMatrix
455     { "wrong array shape (block length = {0}, expected {1})",
456       "forme de tableau erron\u00e9e (bloc de longueur {0} au lieu des {1} attendus)" },
457 
458     // org.apache.commons.math.complex.Complex
459     { "cannot compute nth root for null or negative n: {0}",
460      "impossible de calculer la racine ni\u00e8me pour n n\u00e9gatif ou nul : {0}" },
461 
462    // org.apache.commons.math.complex.ComplexFormat
463    { "unparseable complex number: \"{0}\"",
464      "\u00e9chec d''analyse du nombre complexe \"{0}\"" },
465    { "cannot format a {0} instance as a complex number",
466      "impossible de formater une instance de {0} comme un nombre complexe" },
467    { "empty string for imaginary character",
468      "cha\u00eene vide pour le caract\u00e8 imaginaire" },
469    { "null imaginary format",
470      "format imaginaire nul" },
471    { "null real format",
472      "format r\u00e9el nul" },
473 
474    // org.apache.commons.math.complex.ComplexUtils
475    { "negative complex module {0}",
476      "module n\u00e9gatif ({0}) pour un nombre complexe" },
477 
478    // org.apache.commons.math.geometry.Vector3DFormat
479    { "unparseable 3D vector: \"{0}\"",
480      "\u00e9chec d''analyse du vecteur de dimension 3 \"{0}\"" },
481    { "cannot format a {0} instance as a 3D vector",
482      "impossible de formater une instance de {0} comme un vecteur de dimension 3" },
483 
484    // org.apache.commons.math.linear.RealVectorFormat
485    { "unparseable real vector: \"{0}\"",
486      "\u00e9chec d''analyse du vecteur r\u00e9el \"{0}\"" },
487    { "cannot format a {0} instance as a real vector",
488      "impossible de formater une instance de {0} comme un vecteur r\u00e9el" },
489 
490    // org.apache.commons.math.util.ResizableDoubleArray
491    { "the index specified: {0} is larger than the current maximal index {1}",
492      "l''index sp\u00e9cifi\u00e9 ({0}) d\u00e9passe l''index maximal courant ({1})" },
493    { "elements cannot be retrieved from a negative array index {0}",
494      "impossible d''extraire un \u00e9l\u00e9ment \u00e0 un index n\u00e9gatif ({0})" },
495    { "cannot set an element at a negative index {0}",
496      "impossible de mettre un \u00e9l\u00e9ment \u00e0 un index n\u00e9gatif ({0})" },
497    { "cannot substitute an element from an empty array",
498      "impossible de substituer un \u00e9l\u00e9ment dans un tableau vide" },
499    { "contraction criteria ({0}) smaller than the expansion factor ({1}).  This would " +
500      "lead to a never ending loop of expansion and contraction as a newly expanded " +
501      "internal storage array would immediately satisfy the criteria for contraction.",
502      "crit\u00e8re de contraction ({0}) inf\u00e9rieur au facteur d''extension. Ceci " +
503      "induit une boucle infinie d''extensions/contractions car tout tableau de stockage " +
504      "fra\u00eechement \u00e9tendu respecte imm\u00e9diatement le crit\u00e8re de contraction."},
505    { "contraction criteria smaller than one ({0}).  This would lead to a never ending " +
506      "loop of expansion and contraction as an internal storage array length equal " +
507      "to the number of elements would satisfy the contraction criteria.",
508      "crit\u00e8re de contraction inf\u00e9rieur \u00e0 un ({0}). Ceci induit une boucle " +
509      "infinie d''extensions/contractions car tout tableau de stockage de longueur \u00e9gale " +
510      "au nombre d''\u00e9l\u00e9ments respecte le crit\u00e8re de contraction." },
511    { "expansion factor smaller than one ({0})",
512      "facteur d''extension inf\u00e9rieur \u00e0 un ({0})"},
513    { "cannot discard {0} elements from a {1} elements array",
514      "impossible d''enlever {0} \u00e9l\u00e9ments d''un tableau en contenant {1}"},
515    { "cannot discard a negative number of elements ({0})",
516      "impossible d''enlever un nombre d''\u00e9l\u00e9ments{0} n\u00e9gatif"},
517    { "unsupported expansion mode {0}, supported modes are {1} ({2}) and {3} ({4})",
518      "mode d''extension {0} no support\u00e9, les modes support\u00e9s sont {1} ({2}) et {3} ({4})" },
519    { "initial capacity ({0}) is not positive",
520      "la capacit\u00e9 initiale ({0}) n''est pas positive" },
521    { "index ({0}) is not positive",
522      "l''indice ({0}) n''est pas positif" },
523 
524    // org.apache.commons.math.analysis.polynomials.PolynomialFunction
525    // org.apache.commons.math.analysis.polynomials.PolynomialFunctionNewtonForm
526    { "empty polynomials coefficients array",
527      "tableau de coefficients polyn\u00f4miaux vide" },
528 
529    // org.apache.commons.math.analysis.polynomials.PolynomialFunctionNewtonForm
530    { "array sizes should have difference 1 ({0} != {1} + 1)",
531      "les tableaux devraient avoir une diff\u00e9rence de taille de 1 ({0} != {1} + 1)" },
532 
533    // org.apache.commons.math.analysis.polynomials.PolynomialFunctionLagrangeForm
534    { "identical abscissas x[{0}] == x[{1}] == {2} cause division by zero",
535      "division par z\u00e9ro caus\u00e9e par les abscisses identiques x[{0}] == x[{1}] == {2}" },
536 
537    // org.apache.commons.math.analysis.polynomials.PolynomialSplineFunction
538    { "spline partition must have at least {0} points, got {1}",
539      "une partiction spline n\u00e9cessite au moins {0} points, seuls {1} ont \u00e9t\u00e9 fournis" },
540    { "knot values must be strictly increasing",
541      "les n\u0153uds d''interpolation doivent \u00eatre strictement croissants" },
542    { "number of polynomial interpolants must match the number of segments ({0} != {1} - 1)",
543      "le nombre d''interpolants polyn\u00f4miaux doit correspondre au nombre de segments ({0} != {1} - 1)" },
544 
545    // org.apache.commons.math.analysis.solvers.UnivariateRealSolverImpl
546    { "function to solve cannot be null",
547      "la fonction \u00e0 r\u00e9soudre ne peux pas \u00eatre nulle" },
548    { "invalid interval, initial value parameters:  lower={0}, initial={1}, upper={2}",
549      "param\u00e8tres de l''intervalle initial invalides : borne inf = {0}, valeur initiale = {1}, borne sup = {2}" },
550 
551    // org.apache.commons.math.analysis.solvers.UnivariateRealSolverImpl
552    // org.apache.commons.math.analysis.solvers.BrentSolver
553    { "function values at endpoints do not have different signs.  Endpoints: [{0}, {1}], Values: [{2}, {3}]",
554      "les valeurs de la fonction aux bornes n''ont pas des signes diff\u00e9rents. Bornes : [{0}, {1}], valeurs : [{2}, {3}]" },
555 
556    // org.apache.commons.math.analysis.solvers.UnivariateRealSolverImpl
557    // org.apache.commons.math.analysis.integration.UnivariateRealIntegratorImpl
558    // org.apache.commons.math.transform.FastFourierTransformer
559    { "endpoints do not specify an interval: [{0}, {1}]",
560      "les extr\u00e9mit\u00e9s ne constituent pas un intervalle : [{0}, {1}]" },
561 
562    // org.apache.commons.math.analysis.solvers.LaguerreSolver
563    { "function is not polynomial",
564      "la fonction n''est pas p\u00f4lynomiale" },
565 
566    // org.apache.commons.math.analysis.solvers.NewtonSolver
567    { "function is not differentiable",
568      "la fonction n''est pas diff\u00e9rentiable" },
569 
570    // org.apache.commons.math.analysis.integration.UnivariateRealIntegratorImpl
571    { "invalid iteration limits: min={0}, max={1}",
572      "limites d''it\u00e9rations invalides : min = {0}, max = {1}" },
573 
574    // org.apache.commons.math.analysis.integration.LegendreGaussIntegrator
575    { "{0} points Legendre-Gauss integrator not supported," +
576      " number of points must be in the {1}-{2} range",
577      "int\u00e9grateur de Legendre-Gauss non support\u00e9 en {0} points, " +
578      "le nombre de points doit \u00eatre entre {1} et {2}" },
579 
580    // org.apache.commons.math.fraction.Fraction
581    { "zero denominator in fraction {0}/{1}",
582      "d\u00e9nominateur null dans le nombre rationnel {0}/{1}" },
583    { "overflow in fraction {0}/{1}, cannot negate",
584      "d\u00e9passement de capacit\u00e9 pour la fraction {0}/{1}, son signe ne peut \u00eatre chang\u00e9" },
585    { "overflow, numerator too large after multiply: {0}",
586      "d\u00e9passement de capacit\u00e9 pour le num\u00e9rateur apr\u00e8s multiplication : {0}" },
587    { "the fraction to divide by must not be zero: {0}/{1}",
588      "division par un nombre rationnel nul : {0}/{1}" },
589    { "null fraction",
590      "fraction nulle" },
591 
592    // org.apache.commons.math.geometry.Rotation
593    { "zero norm for rotation axis",
594      "norme nulle pour un axe de rotation" },
595    { "zero norm for rotation defining vector",
596      "norme nulle pour un axe de d\u00e9finition de rotation" },
597 
598    // org.apache.commons.math.geometry.Vector3D
599    // org.apache.commons.math.linear.ArrayRealVector
600    { "cannot normalize a zero norm vector",
601      "impossible de normer un vecteur de norme nulle" },
602    { "zero norm",
603      "norme nulle" },
604 
605    // org.apache.commons.math.ConvergingAlgorithmImpl
606    { "no result available",
607      "aucun r\u00e9sultat n''est disponible" },
608 
609    // org.apache.commons.math.linear.BigMatrixImpl
610    { "first {0} rows are not initialized yet",
611      "les {0} premi\u00e8res lignes ne sont pas encore initialis\u00e9es" },
612    { "first {0} columns are not initialized yet",
613      "les {0} premi\u00e8res colonnes ne sont pas encore initialis\u00e9es" },
614 
615    // org.apache.commons.math.stat.Frequency
616    { "class ({0}) does not implement Comparable",
617      "la classe ({0}) n''implante pas l''interface Comparable" },
618    { "instance of class {0} not comparable to existing values",
619      "l''instance de la classe {0} n''est pas comparable aux valeurs existantes" },
620 
621    // org.apache.commons.math.stat.StatUtils
622    { "input arrays must have the same positive length ({0} and {1})",
623      "les tableaux d''entr\u00e9e doivent avoir la m\u00eame taille positive ({0} et {1})" },
624    { "input arrays must have the same length and at least two elements ({0} and {1})",
625      "les tableaux d''entr\u00e9e doivent avoir la m\u00eame taille" +
626      " et au moins deux \u00e9l\u00e9ments ({0} et {1})" },
627 
628    // org.apache.commons.math.stat.correlation.Covariance
629    { "arrays must have the same length and both must have at " +
630      "least two elements. xArray has size {0}, yArray has {1} elements",
631      "les tableaux doivent avoir la m\u00eame taille " +
632      "et comporter au moins deux \u00e9l\u00e9ments. " +
633      "xArray a une taille de {0}, yArray a {1} \u00e9l\u00e9ments"},
634    { "insufficient data: only {0} rows and {1} columns.",
635      "donn\u00e9es insuffisantes : seulement {0} lignes et {1} colonnes." },
636 
637    // org.apache.commons.math.stat.correlation.PearsonsCorrelation
638    { "covariance matrix is null",
639      "la matrice de covariance est nulle" },
640    { "invalid array dimensions. xArray has size {0}; yArray has {1} elements",
641      "dimensions de tableaux invalides. xArray a une taille de {0}, " +
642      "yArray a {1} \u00e9l\u00e9ments" },
643 
644    // org.apache.commons.math.stat.descriptive.DescriptiveStatistics
645    { "window size must be positive ({0})",
646      "la taille de la fen\u00eatre doit \u00eatre positive ({0})" },
647    { "percentile implementation {0} does not support setQuantile",
648      "l''implantation de pourcentage {0} ne dispose pas de la m\u00e9thode setQuantile" },
649    { "cannot access setQuantile method in percentile implementation {0}",
650      "acc\u00e8s impossible \u00e0 la m\u00e9thode setQuantile" +
651      " dans l''implantation de pourcentage {0}" },
652    { "out of bounds quantile value: {0}, must be in (0, 100]",
653      "valeur de quantile {0} hors bornes, doit \u00eatre dans l''intervalle ]0, 100]" },
654 
655    // org.apache.commons.math.stat.descriptive.moment.Variance
656    // org.apache.commons.math.stat.descriptive.AbstractStorelessUnivariateStatistic
657    // org.apache.commons.math.stat.descriptive.AbstractUnivariateStatistic
658    { "input values array is null",
659      "le tableau des valeurs d''entr\u00e9es est nul" },
660 
661    // org.apache.commons.math.stat.descriptive.AbstractUnivariateStatistic
662    { "start position cannot be negative ({0})",
663      "la position de d\u00e9part ne peut pas \u00eatre n\u00e9gative" },
664    { "length cannot be negative ({0})",
665      "la longueur ne peut pas \u00eatre n\u00e9gative" },
666    { "subarray ends after array end",
667      "le sous-tableau se termine apr\u00e8s la fin du tableau" },
668 
669    // org.apache.commons.math.stat.descriptive.moment.GeometricMean
670    // org.apache.commons.math.stat.descriptive.MultivariateSummaryStatistics
671    // org.apache.commons.math.stat.descriptive.SummaryStatistics
672    { "{0} values have been added before statistic is configured",
673      "{0} valeurs ont \u00e9t\u00e9 ajout\u00e9es " +
674      "avant que la statistique ne soit configur\u00e9e" },
675 
676    // org.apache.commons.math.stat.descriptive.moment.Kurtosis
677    { "statistics constructed from external moments cannot be incremented",
678      "les statistiques bas\u00e9es sur des moments externes " +
679      "ne peuvent pas \u00eatre incr\u00e9ment\u00e9es" },
680    { "statistics constructed from external moments cannot be cleared",
681      "les statistiques bas\u00e9es sur des moments externes " +
682      "ne peuvent pas \u00eatre remises \u00e0 z\u00e9ro" },
683 
684    // org.apache.commons.math.stat.inference.ChiSquareTestImpl
685    { "expected array length = {0}, must be at least 2",
686      "le tableau des valeurs attendues a une longueur de {0}, elle devrait \u00eatre au moins de 2" },
687    { "observed array length = {0}, must be at least 2",
688      "le tableau des valeurs observ\u00e9es a une longueur de {0}, elle devrait \u00eatre au moins de 2" },
689    { "observed counts are all 0 in first observed array",
690      "aucune occurrence dans le premier tableau des observations" },
691    { "observed counts are all 0 in second observed array",
692      "aucune occurrence dans le second tableau des observations" },
693    { "observed counts are both zero for entry {0}",
694      "les occurrences observ\u00e9es sont toutes deux nulles pour l'entr\u00e9e {0}" },
695    { "invalid row dimension: {0} (must be at least 2)",
696      "nombre de lignes invalide : {0} (doit \u00eatre au moins de 2)" },
697    { "invalid column dimension: {0} (must be at least 2)",
698      "nombre de colonnes invalide : {0} (doit \u00eatre au moins de 2)" },
699    { "element {0} is not positive: {1}",
700      "l''\u00e9l\u00e9ment {0} n''est pas positif : {1}" },
701    { "element {0} is negative: {1}",
702      "l''\u00e9l\u00e9ment {0} est n\u00e9gatif : {1}" },
703    { "element ({0}, {1}) is negative: {2}",
704      "l''\u00e9l\u00e9ment ({0}, {1}) est n\u00e9gatif : {2}" },
705 
706    // org.apache.commons.math.stat.inference.OneWayAnovaImpl
707    { "two or more categories required, got {0}",
708      "deux cat\u00e9gories ou plus sont n\u00e9cessaires, il y en a {0}" },
709    { "two or more values required in each category, one has {0}",
710      "deux valeurs ou plus sont n\u00e9cessaires pour chaque cat\u00e9gorie, une cat\u00e9gorie en a {0}" },
711 
712    // org.apache.commons.math.stat.inference.TTestImpl
713    { "insufficient data for t statistic, needs at least 2, got {0}",
714      "deux valeurs ou plus sont n\u00e9cessaires pour la statistique t, il y en a {0}" },
715 
716    // org.apache.commons.math.stat.inference.ChiSquareTestImpl
717    // org.apache.commons.math.stat.inference.TTestImpl
718    // org.apache.commons.math.stat.inference.OneWayAnovaImpl
719    // org.apache.commons.math.stat.Regression
720    { "out of bounds significance level {0}, must be between {1} and {2}",
721      "niveau de signification {0} hors domaine, doit \u00eatre entre {1} et {2}" },
722 
723    // org.apache.commons.math.stat.regression.OLSMultipleLinearRegression
724    { "matrix is not upper-triangular, entry ({0}, {1}) = {2} is too large",
725      "matrice non triangulaire sup\u00e9rieure, l''\u00e9l\u00e9ment ({0}, {1}) = {2} est trop grand" },
726 
727    // org.apache.commons.math.stat.regression.AbstractMultipleLinearRegression
728    { "not enough data ({0} rows) for this many predictors ({1} predictors)",
729      "pas assez de donn\u00e9es ({0} lignes) pour {1} pr\u00e9dicteurs" },
730 
731    // org.apache.commons.math.distribution.AbstractContinuousDistribution
732    // org.apache.commons.math.distribution.AbstractIntegerDistribution
733    // org.apache.commons.math.distribution.ExponentialDistributionImpl
734    // org.apache.commons.math.distribution.BinomialDistributionImpl
735    // org.apache.commons.math.distribution.CauchyDistributionImpl
736    // org.apache.commons.math.distribution.PascalDistributionImpl
737    // org.apache.commons.math.distribution.WeibullDistributionImpl
738    { "{0} out of [{1}, {2}] range",
739      "{0} hors du domaine [{1}, {2}]" },
740 
741    // org.apache.commons.math.distribution.AbstractDistribution
742    // org.apache.commons.math.distribution.AbstractIntegerDistribution
743    { "lower endpoint ({0}) must be less than or equal to upper endpoint ({1})",
744      "la borne inf\u00e9rieure ({0}) devrait \u00eatre inf\u00e9rieure " +
745      "ou \u00e9gale \u00e0 la borne sup\u00e9rieure ({1})" },
746 
747    // org.apache.commons.math.distribution.BinomialDistributionImpl
748    { "number of trials must be non-negative ({0})",
749      "le nombre d''essais ne doit pas \u00eatre n\u00e9gatif ({0})" },
750 
751    // org.apache.commons.math.distribution.ExponentialDistributionImpl
752    // org.apache.commons.math.random.RandomDataImpl
753    { "mean must be positive ({0})",
754      "la moyenne doit \u00eatre positive ({0})" },
755 
756    // org.apache.commons.math.distribution.FDistributionImpl
757    // org.apache.commons.math.distribution.TDistributionImpl
758    { "degrees of freedom must be positive ({0})",
759      "les degr\u00e9s de libert\u00e9 doivent \u00eatre positifs ({0})" },
760 
761    // org.apache.commons.math.distribution.GammaDistributionImpl
762    { "alpha must be positive ({0})",
763      "alpha doit \u00eatre positif ({0})" },
764    { "beta must be positive ({0})",
765      "beta doit \u00eatre positif ({0})" },
766 
767    // org.apache.commons.math.distribution.HypergeometricDistributionImpl
768    { "number of successes ({0}) must be less than or equal to population size ({1})",
769      "le nombre de succ\u00e8s doit \u00eatre inf\u00e9rieur " +
770      "ou \u00e9gal \u00e0 la taille de la population ({1})" },
771    { "sample size ({0}) must be less than or equal to population size ({1})",
772      "la taille de l''\u00e9chantillon doit \u00eatre inf\u00e9rieure " +
773      "ou \u00e9gale \u00e0 la taille de la population ({1})" },
774    { "population size must be positive ({0})",
775      "la taille de la population doit \u00eatre positive ({0})" },
776 
777    // org.apache.commons.math.distribution.HypergeometricDistributionImpl
778    // org.apache.commons.math.random.RandomDataImpl
779    { "sample size must be positive ({0})",
780      "la taille de l''\u00e9chantillon doit \u00eatre positive ({0})" },
781 
782    // org.apache.commons.math.distribution.HypergeometricDistributionImpl
783    // org.apache.commons.math.distribution.PascalDistributionImpl
784    { "number of successes must be non-negative ({0})",
785      "le nombre de succ\u00e8s ne doit pas \u00eatre n\u00e9gatif ({0})" },
786 
787    // org.apache.commons.math.distribution.NormalDistributionImpl
788    // org.apache.commons.math.random.RandomDataImpl
789    { "standard deviation must be positive ({0})",
790      "l''\u00e9cart type doit \u00eatre positif ({0})" },
791 
792    // org.apache.commons.math.distribution.PoissonDistributionImpl
793    // org.apache.commons.math.random.RandomDataImpl
794    { "the Poisson mean must be positive ({0})",
795      "la moyenne de Poisson doit \u00eatre positive ({0})" },
796 
797    // org.apache.commons.math.distribution.WeibullDistributionImpl
798    { "shape must be positive ({0})",
799      "le facteur de forme doit \u00eatre positif ({0})" },
800 
801    // org.apache.commons.math.distribution.WeibullDistributionImpl
802    // org.apache.commons.math.distribution.CauchyDistributionImpl
803    { "scale must be positive ({0})",
804      "l''\u00e9chelle doit \u00eatre positive ({0})" },
805 
806    // org.apache.commons.math.distribution.ZipfDistributionImpl
807    { "invalid number of elements {0} (must be positive)",
808      "nombre d''\u00e9l\u00e9ments {0} invalide (doit \u00eatre positif)" },
809    { "invalid exponent {0} (must be positive)",
810      "exposant {0} invalide (doit \u00eatre positif)" },
811 
812    // org.apache.commons.math.transform.FastHadamardTransformer
813    { "{0} is not a power of 2",
814      "{0} n''est pas une puissance de 2" },
815 
816    // org.apache.commons.math.transform.FastFourierTransformer
817    { "cannot compute 0-th root of unity, indefinite result",
818      "impossible de calculer la racine z\u00e9roi\u00e8me de l''unit\u00e9, " +
819      "r\u00e9sultat ind\u00e9fini" },
820    { "roots of unity have not been computed yet",
821      "les racines de l''unit\u00e9 n''ont pas encore \u00e9t\u00e9 calcul\u00e9es" },
822    { "out of range root of unity index {0} (must be in [{1};{2}])",
823      "index de racine de l''unit\u00e9 hors domaine (devrait \u00eatre dans [{1}; {2}])" },
824    { "number of sample is not positive: {0}",
825      "le nombre d''\u00e9chantillons n''est pas positif : {0}" },
826    { "{0} is not a power of 2, consider padding for fix",
827      "{0} n''est pas une puissance de 2, ajoutez des \u00e9l\u00e9ments pour corriger" },
828    { "some dimensions don't match: {0} != {1}",
829      "certaines dimensions sont incoh\u00e9rentes : {0} != {1}" },
830 
831    // org.apache.commons.math.transform.FastCosineTransformer
832    { "{0} is not a power of 2 plus one",
833      "{0} n''est pas une puissance de 2 plus un" },
834 
835    // org.apache.commons.math.transform.FastSineTransformer
836    { "first element is not 0: {0}",
837      "le premier \u00e9l\u00e9ment n''est pas nul : {0}" },
838 
839    // org.apache.commons.math.util.OpenIntToDoubleHashMap
840    { "map has been modified while iterating",
841      "la table d''adressage a \u00e9t\u00e9 modifi\u00e9e pendant l''it\u00e9ration" },
842    { "iterator exhausted",
843      "it\u00e9ration achev\u00e9e" },
844 
845    // org.apache.commons.math.MathRuntimeException
846    { "internal error, please fill a bug report at {0}",
847      "erreur interne, veuillez signaler l''erreur \u00e0 {0}" }
848 
849   };
850 
851 }