(* Content-type: application/mathematica *) (*** Wolfram Notebook File ***) (* http://www.wolfram.com/nb *) (* CreatedBy='Mathematica 6.0' *) (*CacheID: 234*) (* Internal cache information: NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 145, 7] NotebookDataLength[ 1424764, 25717] NotebookOptionsPosition[ 1401232, 25197] NotebookOutlinePosition[ 1417890, 25496] CellTagsIndexPosition[ 1417847, 25493] WindowFrame->Normal*) (* Beginning of Notebook Content *) Notebook[{ Cell[CellGroupData[{ Cell["\<\ Tema 9 : Importando y Exportando Ficheros\ \>", "Title", CellChangeTimes->{{3.4282168005625*^9, 3.428216817078125*^9}, { 3.42866948146875*^9, 3.42866948296875*^9}, {3.428992018828125*^9, 3.42899202171875*^9}, {3.470489853171875*^9, 3.470489853734375*^9}}], Cell[CellGroupData[{ Cell["Introducci\[OAcute]n", "Section", CellChangeTimes->{{3.428992028453125*^9, 3.428992031953125*^9}}], Cell[TextData[{ "Mathematica tiene la posibilidad de trabajar con conjuntos que contienen \ una gran cantidad de datos. Estos datos pueden ser externos, es decir, \ proceder de otros softwares. Un caso sencillo es el de datos contenidos en \ una hoja de c\[AAcute]lculo, es decir en un fichero con extensi\[OAcute]n \ .xls. Los resultados obtenidos al manipular estos datos, a su vez, se pueden \ devolver en un fichero que tambi\[EAcute]n tenga la extensi\[OAcute]n .XLS.\n\ Otros casos un poco m\[AAcute]s complicados pueden ser los relacionados con \ el procesamiento de im\[AAcute]genes o de se\[NTilde]ales. En el caso de \ procesado de se\[NTilde]ales se tiene una gran cantidad de datos con \ diferentes formatos ", StyleBox["Mathematica", FontSlant->"Italic"], " dispone de los m\[EAcute]todos operacionales que formar parte del estado \ del arte en esta materia pudiendo aplicar las tranformadas de Laplace, la \ transformada Z o las tranformadas continua y discreta de Fourier al conjunto \ de datos.\n", StyleBox["Mathematica", FontSlant->"Italic"], " nos permite tambi\[EAcute]n importar y exportar gr\[AAcute]ficos y sonidos \ con diferentes formatos. Por ejemplo, podremos exportar a ficheros con \ formato GIF, JPEG, PNG, etc. gr\[AAcute]ficos creados en ", StyleBox["Mathematica", FontSlant->"Italic"], ". \nCon ", StyleBox["Mathematica", FontSlant->"Italic"], " podemos importar una \"", StyleBox["imagen", FontSlant->"Italic"], "\". Una \"", StyleBox["imagen", FontSlant->"Italic"], "\" se puede considerar como una funci\[OAcute]n de dos variables definida \ en una regi\[OAcute]n del plano que a cada punto de dicha regi\[OAcute]n le \ asigna un valor de brillo o un color.Las im\[AAcute]genes en blaco y negro se \ almacenan en una matriz de dimensi\[OAcute]n MxN. Cada uno de sus elementos \ es un valor que da la lumninosidad. En la im\[AAcute]genes en ", StyleBox["escala de grises", FontSlant->"Italic"], " es freciuente representar los p\[IAcute]xeles por n\[UAcute]meros enteros \ comprendidos entre 0 y 255. Finalmente en las im\[AAcute]genes en color a \ cada pixel se le asigna un lista de al menos tres valores que corresponden al \ rojo, verde y azul.\nEn la ayuda podemos acceder a : Data Handling & Data \ Sources para obtener informaci\[OAcute]n sobre todos los tipos de formatos \ con los que ", StyleBox["Mathematica", FontSlant->"Italic"], " puede trabajar .\nPor defecto los comandos Import o Export importan y \ exportan los ficheros de o a la carpeta Mis Documentos. con el comando \n\ Directory[] se obtiene el directorio actual de trabajo:" }], "Text", CellChangeTimes->{{3.428992403359375*^9, 3.4289926515*^9}, { 3.42899268171875*^9, 3.42899280221875*^9}, {3.428992835484375*^9, 3.428992893828125*^9}, {3.4289929270625*^9, 3.428992974734375*^9}, { 3.428993057703125*^9, 3.4289935221875*^9}, {3.428993556453125*^9, 3.4289936300625*^9}, {3.428995497875*^9, 3.428995607*^9}, { 3.42899596746875*^9, 3.42899596846875*^9}, {3.428996005734375*^9, 3.42899602271875*^9}, 3.471696392390625*^9}, TextJustification->1.], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"Directory", "[", "]"}]], "Input", CellChangeTimes->{{3.428995609671875*^9, 3.428995612671875*^9}}], Cell[BoxData["\<\"C:\\\\Documents and Settings\\\\Usuari@\\\\Mis documentos\"\ \>"], "Output", CellChangeTimes->{3.471696442375*^9, 3.472990040296875*^9}] }, Open ]], Cell["\<\ El comando SetDirectory permite establecer otro directorio de trabajo\ \>", "Text", CellChangeTimes->{{3.428995629453125*^9, 3.428995646875*^9}}], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"SetDirectory", "[", "\"\\"", "]"}]], "Input", CellChangeTimes->{{3.428995670734375*^9, 3.4289956755625*^9}, { 3.428995705953125*^9, 3.428995731015625*^9}, 3.42899587596875*^9}, CellID->12796], Cell[BoxData["\<\"C:\\\\Matematica\"\>"], "Output", CellChangeTimes->{3.47169645696875*^9, 3.471696506703125*^9, 3.472990040375*^9}] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell["Importando y exportando ficheros del tipo XLS", "Section", CellChangeTimes->{{3.428994307171875*^9, 3.42899432853125*^9}}], Cell["\<\ El comando Import soporta ficheros XLS creados por Excel 95, 97, 200, XP y \ 2003, y el comando Export crea ficheros XLS, Excel 2000.\ \>", "Text", CellChangeTimes->{{3.428218252859375*^9, 3.428218325546875*^9}, 3.428256459328125*^9}], Cell["\<\ Para exportar, por ejemplo la lista datos a un fichero excel, \"dato.xls\", \ \>", "Text", CellChangeTimes->{ 3.428259962*^9, {3.428996112203125*^9, 3.428996148484375*^9}}], Cell[BoxData[ RowBox[{ RowBox[{"dato", "=", RowBox[{"{", RowBox[{ RowBox[{"{", RowBox[{"1", ",", "2"}], "}"}], ",", RowBox[{"{", RowBox[{"2", ",", "3"}], "}"}], ",", RowBox[{"{", RowBox[{"3", ",", "5"}], "}"}], ",", RowBox[{"{", RowBox[{"4", ",", "7"}], "}"}], ",", RowBox[{"{", RowBox[{"5", ",", "11"}], "}"}], ",", RowBox[{"{", RowBox[{"6", ",", "13"}], "}"}], ",", RowBox[{"{", RowBox[{"7", ",", "17"}], "}"}], ",", RowBox[{"{", RowBox[{"8", ",", "19"}], "}"}], ",", RowBox[{"{", RowBox[{"9", ",", "23"}], "}"}], ",", RowBox[{"{", RowBox[{"10", ",", "29"}], "}"}]}], "}"}]}], ";"}]], "Input", CellChangeTimes->{3.428259956875*^9}], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"Export", "[", RowBox[{"\"\\"", ",", "dato"}], "]"}]], "Input", CellChangeTimes->{{3.427181937328125*^9, 3.427181940953125*^9}, { 3.4271819846875*^9, 3.4271820271875*^9}, {3.42825992246875*^9, 3.428259926890625*^9}, {3.4282599660625*^9, 3.42825998103125*^9}}], Cell[BoxData["\<\"dato.xls\"\>"], "Output", CellChangeTimes->{3.471696515671875*^9, 3.472990041109375*^9}] }, Open ]], Cell["\<\ Si ahora queremos importar el fichero \"dato.xls\" a una variable de \ Mathematica lista,\ \>", "Text", CellChangeTimes->{{3.428996195984375*^9, 3.428996249625*^9}, { 3.46796612778125*^9, 3.4679661341875*^9}}], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"lista", "=", RowBox[{"Import", "[", "\"\\"", "]"}]}]], "Input", CellChangeTimes->{{3.4289952908125*^9, 3.428995292875*^9}, { 3.428996258359375*^9, 3.4289962914375*^9}, {3.42899632259375*^9, 3.428996324640625*^9}}], Cell[BoxData[ RowBox[{"{", RowBox[{"{", RowBox[{ RowBox[{"{", RowBox[{"1.`", ",", "2.`"}], "}"}], ",", RowBox[{"{", RowBox[{"2.`", ",", "3.`"}], "}"}], ",", RowBox[{"{", RowBox[{"3.`", ",", "5.`"}], "}"}], ",", RowBox[{"{", RowBox[{"4.`", ",", "7.`"}], "}"}], ",", RowBox[{"{", RowBox[{"5.`", ",", "11.`"}], "}"}], ",", RowBox[{"{", RowBox[{"6.`", ",", "13.`"}], "}"}], ",", RowBox[{"{", RowBox[{"7.`", ",", "17.`"}], "}"}], ",", RowBox[{"{", RowBox[{"8.`", ",", "19.`"}], "}"}], ",", RowBox[{"{", RowBox[{"9.`", ",", "23.`"}], "}"}], ",", RowBox[{"{", RowBox[{"10.`", ",", "29.`"}], "}"}]}], "}"}], "}"}]], "Output", CellChangeTimes->{3.47169651934375*^9, 3.4729900415625*^9}] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell[TextData[{ "Importando y exportando im\[AAcute]genes. Primeros comandos para manipular \ im\[AAcute]genes con ", StyleBox["Mathematica", FontSlant->"Italic"], "." }], "Section", CellChangeTimes->{{3.42822177759375*^9, 3.42822178928125*^9}, { 3.428387763234375*^9, 3.428387770015625*^9}, {3.42899638165625*^9, 3.42899638709375*^9}, {3.468229962*^9, 3.468230023375*^9}, { 3.468231384765625*^9, 3.468231387359375*^9}}], Cell[TextData[{ "Mathematica permite exportar gr\[AAcute]ficos y sonidos en una gran \ variedad de formatos como por ejemplo los formatos JPEG y GIF para \ gr\[AAcute]ficos o los formatos WAV, MIDI.. para sonidos. Tambi\[EAcute]n es \ posible desde el Front End de ", StyleBox["Mathematica", FontSlant->"Italic"], " copian y pegando directamente utilizando los mecanismos estandard del \ sistema." }], "Text", CellChangeTimes->{{3.428257022109375*^9, 3.42825709128125*^9}, { 3.428257128453125*^9, 3.42825718628125*^9}, 3.428996395125*^9, { 3.428996442828125*^9, 3.42899649909375*^9}}, TextJustification->1.], Cell["\<\ Con este comando se importa la imagen figura con formato PNG que \ est\[AAcute] en el directorio de trabajo.\ \>", "Text", CellChangeTimes->{{3.427183685390625*^9, 3.427183737484375*^9}, { 3.428259540859375*^9, 3.4282595464375*^9}}], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"figura", "=", RowBox[{"Import", "[", "\"\\"", "]"}]}]], "Input", CellChangeTimes->{{3.4271817230625*^9, 3.4271817980625*^9}, { 3.42718183934375*^9, 3.427181843828125*^9}, {3.427181902140625*^9, 3.42718190409375*^9}, {3.427182041296875*^9, 3.427182046953125*^9}, { 3.42825950921875*^9, 3.4282595196875*^9}}], 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ImageSize -> Automatic, Interleaving -> True, Magnification -> Automatic], Selectable->False], BaseStyle->"ImageGraphics", ImageSize->Automatic, ImageSizeRaw->{180, 180}, PlotRange->{{0, 180}, {0, 180}}]], "Output", CellChangeTimes->{3.471696553609375*^9, 3.472990042015625*^9}] }, Open ]], Cell["\<\ Las dimensiones de la matriz cuyos elementos contienen la informaci\[OAcute]n \ de cada pixel de la imagen se obtienen con el comando ImageDimensions\ \>", "Text", CellChangeTimes->{{3.46822670228125*^9, 3.468226785453125*^9}}], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"ImageDimensions", "[", "figura", "]"}]], "Input", CellChangeTimes->{{3.468226668765625*^9, 3.46822667815625*^9}}], Cell[BoxData[ RowBox[{"{", RowBox[{"180", ",", "180"}], "}"}]], "Output", CellChangeTimes->{3.471696561671875*^9, 3.47299004203125*^9}] }, Open ]], Cell["\<\ Con la siguiente entrada nos da el tipo de color (RGB, Escala de grises ....) \ de la imagen\ \>", "Text", CellChangeTimes->{{3.468226865984375*^9, 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Seguidamente lo importamos a la variable dibu22 con \ un tama\[NTilde]o diferente utilizando la opci\[OAcute]n ImageSize.\ \>", "Text", CellChangeTimes->{{3.42899725421875*^9, 3.42899733709375*^9}}], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"dibu2", "=", RowBox[{"Plot3D", "[", RowBox[{ RowBox[{ SuperscriptBox["\[ExponentialE]", RowBox[{"Cos", "[", "y", "]"}]], " ", RowBox[{"Sin", "[", "x", "]"}]}], ",", RowBox[{"{", RowBox[{"x", ",", "0", ",", RowBox[{"2", " ", "\[Pi]"}]}], "}"}], ",", RowBox[{"{", RowBox[{"y", ",", "0", ",", RowBox[{"4", " ", "\[Pi]"}]}], "}"}], ",", RowBox[{"ColorFunction", "\[Rule]", RowBox[{"Function", "[", RowBox[{ RowBox[{"{", RowBox[{"x", ",", "y", ",", "z"}], "}"}], ",", RowBox[{"Hue", "[", "z", "]"}]}], "]"}]}]}], "]"}]}]], "Input", CellChangeTimes->{{3.428260174921875*^9, 3.428260175984375*^9}, { 3.428391267*^9, 3.428391328125*^9}}], Cell[BoxData[ Graphics3DBox[GraphicsComplex3DBox[CompressedData[" 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realizan \ ajustes, se representan gr\[AAcute]ficamente los datos y los ajustes \ obtenidos, se exportan estos gr\[AAcute]ficos, se calculan errores cuadr\ \[AAcute]ticos medios, se estiman valores y se exportan todos estos \ resultados a un fichero .XLS. La siguiente tabla representa el paro registrado en el mes de febrero durante \ los a\[NTilde]os desde 1991 a 2001, seg\[UAcute]n datos del INEM. Estos datos \ se encuentran en un fichero datos.xls.\ \>", "Text", CellChangeTimes->{{3.42821956221875*^9, 3.428219621078125*^9}, { 3.4282200694375*^9, 3.428220096328125*^9}, {3.428997425125*^9, 3.4289975675*^9}}, TextJustification->1.], Cell[BoxData[ TagBox[GridBox[{ {"1991.`", "2.362373`*^6"}, {"1992.`", "2.337472`*^6"}, {"1993.`", "2.471228`*^6"}, {"1994.`", "2.774579`*^6"}, {"1995.`", "2.575873`*^6"}, {"1996.`", "2.427015`*^6"}, {"1997.`", "2.262721`*^6"}, {"1998.`", "2.06783`*^6"}, {"1999.`", "1.78394`*^6"}, {"2000.`", "1.65982`*^6"}, {"2001.`", "1.59892`*^6"} }, GridBoxAlignment->{ "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, "RowsIndexed" -> {}}, GridBoxSpacings->{"Columns" -> { Offset[0.27999999999999997`], { Offset[0.7]}, Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> { Offset[0.2], { Offset[0.4]}, Offset[0.2]}, "RowsIndexed" -> {}}], Function[BoxForm`e$, TableForm[BoxForm`e$]]]], "Text"], Cell["\<\ a) Importar los datos a una variable dat. b) Hallar la recta de regresi\[OAcute]n, representarla junto con los datos. \ Exportar este gr\[AAcute]fico a un fichero recta.jpeg en el directorio de \ trabajo (Mis Documentos) c) Obtener el polinomio minimo - cuadr\[AAcute]tico de tercer grado y repetir \ el apdo. anterior, exportando en este caso a un fichero poli.jpeg. d) Crear un gr\[AAcute]fico con los dos anteriores utilizando el comando \ GraphicsRow y exportarlo al ficheros grafs.jpeg utilizando la opci\[OAcute]n \ ImageSize \[Rule] Scaled[1.2] para obtener un tama\[NTilde]o mayor de la \ imagen. e) Calcular el error cuadr\[AAcute]tico medio en el caso de la recta y \ guardarlo en la variable e1 y del polinomio en la variable e2. f) Estimar el n\[UAcute]mero de parados en 2002 de seguir esta tendencia con \ la recta y el polinomio. g) Crear a continuaci\[OAcute]n una lista de la forma: {{\"Error recta:\", \ e1}, {\"Error polinomio:\", e2},{\"r(2002)\",r[2002]},{\"p(2002)\",p[2002]}} \ y exportarla a un fichero resultados.xls \ \>", "Text", CellChangeTimes->{{3.428219634765625*^9, 3.42821975875*^9}, { 3.428219789859375*^9, 3.428219832078125*^9}, {3.42821990803125*^9, 3.4282200005625*^9}, {3.42822094309375*^9, 3.42822099578125*^9}, { 3.428221650125*^9, 3.4282217006875*^9}, {3.42822173615625*^9, 3.428221769359375*^9}, {3.428221858953125*^9, 3.428221878234375*^9}, { 3.428258258171875*^9, 3.428258293*^9}, {3.42825832621875*^9, 3.4282584053125*^9}, {3.4282584575625*^9, 3.428258605203125*^9}, { 3.428259181859375*^9, 3.428259297515625*^9}, {3.467967357859375*^9, 3.467967361015625*^9}}, TextJustification->1.], Cell["\<\ Vamos a importar el fichero datos.xls que est\[AAcute] en el directorio de \ trabajo.\ \>", "Text", CellChangeTimes->{{3.4282204051875*^9, 3.42822041765625*^9}, { 3.428392461734375*^9, 3.428392502109375*^9}, 3.42839258896875*^9}], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"Import", "[", "\"\\"", "]"}]], "Input", CellChangeTimes->{3.428392524859375*^9, 3.467967468890625*^9, 3.4679675611875*^9}], Cell[BoxData[ RowBox[{"{", RowBox[{"{", RowBox[{ RowBox[{"{", RowBox[{"1991.`", ",", "2.362373`"}], "}"}], ",", RowBox[{"{", RowBox[{"1992.`", ",", "2.337472`"}], "}"}], ",", RowBox[{"{", RowBox[{"1993.`", ",", "2.471228`"}], "}"}], ",", RowBox[{"{", RowBox[{"1994.`", ",", "2.774579`"}], "}"}], ",", RowBox[{"{", RowBox[{"1995.`", ",", "2.575873`"}], "}"}], ",", RowBox[{"{", RowBox[{"1996.`", ",", "2.427015`"}], "}"}], ",", RowBox[{"{", RowBox[{"1997.`", ",", "2.262721`"}], "}"}], ",", RowBox[{"{", RowBox[{"1998.`", ",", "2.06783`"}], "}"}], ",", RowBox[{"{", RowBox[{"1999.`", ",", "1.78394`"}], "}"}], ",", RowBox[{"{", RowBox[{"2000.`", ",", "1.65982`"}], "}"}], ",", RowBox[{"{", RowBox[{"2001.`", ",", "1.59892`"}], "}"}]}], "}"}], "}"}]], "Output", CellChangeTimes->{3.471696668015625*^9, 3.47299004746875*^9}] }, Open ]], Cell["\<\ El resultado es una lista con un \[UAcute]nico elemento que a su vez contiene \ otra lista con 11 elementos que son las parejas de valores sobre los que \ tenemos que trabajar. Podemos acceder directamente a esta segunda lista y \ guardarla en la variable dat haciendo :\ \>", "Text", CellChangeTimes->{{3.428392568359375*^9, 3.428392580296875*^9}}], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"dat", "=", RowBox[{"Import", "[", RowBox[{"\"\\"", ",", RowBox[{"{", RowBox[{"\"\\"", ",", "1"}], "}"}]}], "]"}]}]], "Input", CellChangeTimes->{{3.427181467671875*^9, 3.427181505265625*^9}, { 3.427181911890625*^9, 3.427181913046875*^9}, {3.427181956390625*^9, 3.42718196246875*^9}, {3.428219183609375*^9, 3.428219184484375*^9}, { 3.428219225484375*^9, 3.4282192263125*^9}, {3.428219260875*^9, 3.428219288109375*^9}, {3.4282193243125*^9, 3.428219359140625*^9}, 3.428219428734375*^9, 3.467967476625*^9, 3.467967563421875*^9}], Cell[BoxData[ RowBox[{"{", RowBox[{ RowBox[{"{", RowBox[{"1991.`", ",", "2.362373`"}], "}"}], ",", RowBox[{"{", RowBox[{"1992.`", ",", "2.337472`"}], "}"}], ",", RowBox[{"{", RowBox[{"1993.`", ",", "2.471228`"}], "}"}], ",", RowBox[{"{", RowBox[{"1994.`", 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