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1 | 34 | storres | /** @file taylorModel-01.c
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2 | 34 | storres | * taylorModel-01: check the taylorform function.
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3 | 34 | storres | *
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4 | 34 | storres | * @author S.T.
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5 | 34 | storres | * @date 2012-11-21
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6 | 34 | storres | *
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7 | 34 | storres | */
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8 | 34 | storres | /******************************************************************************/
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9 | 34 | storres | /* Headers, applying the "particular to general" convention.*/
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10 | 34 | storres | |
11 | 36 | storres | #include "pobyso.h" |
12 | 34 | storres | |
13 | 34 | storres | /* includes of local headers */
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14 | 34 | storres | |
15 | 34 | storres | /* includes of project headers */
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16 | 34 | storres | |
17 | 34 | storres | /* includes of system headers */
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18 | 34 | storres | #include <stdlib.h> |
19 | 34 | storres | #include <gmp.h> |
20 | 34 | storres | #include <sollya.h> |
21 | 34 | storres | #include <setjmp.h> |
22 | 34 | storres | #include <string.h> |
23 | 34 | storres | /* Other declarations */
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24 | 34 | storres | |
25 | 34 | storres | /* Internal prototypes */
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26 | 34 | storres | |
27 | 34 | storres | /* Types, constants and macros definitions */
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28 | 34 | storres | #define NUM_ARGS 5 |
29 | 34 | storres | #define VARIABLE_NAME_STRING "x" |
30 | 34 | storres | #define RADIX 10 |
31 | 34 | storres | /* Global variables */
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32 | 34 | storres | |
33 | 34 | storres | /* Functions */
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34 | 34 | storres | int
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35 | 34 | storres | main(int argc, char** argv) |
36 | 34 | storres | { |
37 | 34 | storres | //jmp_buf recover;
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38 | 34 | storres | sollya_obj_t functionObj = NULL;
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39 | 34 | storres | char *freeVariableName = NULL; |
40 | 34 | storres | char *functionString = NULL; |
41 | 34 | storres | char buffer[20]; |
42 | 34 | storres | char* endptr[1]; |
43 | 34 | storres | unsigned int degree = 0; |
44 | 34 | storres | double point = 0.0; |
45 | 34 | storres | sollya_obj_t degreeSo; |
46 | 34 | storres | sollya_obj_t pointSo; |
47 | 34 | storres | sollya_obj_t tf; |
48 | 34 | storres | sollya_obj_t *tfAsArray = NULL;
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49 | 34 | storres | int numTfElements = 0; |
50 | 34 | storres | int tfIsEndElliptic = 0; |
51 | 34 | storres | sollya_obj_t polySo; |
52 | 34 | storres | |
53 | 34 | storres | |
54 | 34 | storres | /* check the command line arguments */
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55 | 34 | storres | if (argc < NUM_ARGS)
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56 | 34 | storres | { |
57 | 34 | storres | fprintf(stderr, |
58 | 34 | storres | "\n\nusage: %s functionString freeVariableName degree point\n\n",
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59 | 34 | storres | argv[0]);
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60 | 34 | storres | fprintf(stderr, |
61 | 34 | storres | "\tfunctionString: the expression to create a node from.\n");
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62 | 34 | storres | fprintf(stderr, |
63 | 34 | storres | "\t\tmust be in quotes (e. g. \"cos(x)\");\n");
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64 | 34 | storres | fprintf(stderr, |
65 | 34 | storres | "\tfreeVariableName: the name of the free variable;\n");
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66 | 34 | storres | fprintf(stderr, |
67 | 34 | storres | "\t\t(e. g. x (no quotes needed));\n");
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68 | 34 | storres | fprintf(stderr, |
69 | 34 | storres | "\tdegree: the degree of the polynomial;\n");
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70 | 34 | storres | fprintf(stderr, |
71 | 34 | storres | "\tpoint: the point where the Taylor expansion is to be considered.\n");
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72 | 34 | storres | fprintf(stderr,"\n\n");
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73 | 34 | storres | return(1); |
74 | 34 | storres | } |
75 | 34 | storres | |
76 | 34 | storres | buffer[0] ='\0'; |
77 | 34 | storres | |
78 | 34 | storres | functionString = argv[1];
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79 | 34 | storres | freeVariableName = argv[2];
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80 | 34 | storres | if (*(argv[3]) == '-') |
81 | 34 | storres | { |
82 | 34 | storres | fprintf(stderr, |
83 | 34 | storres | "\n\n%s: the degree (%s) can not be negative.\n",
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84 | 34 | storres | argv[0],
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85 | 34 | storres | argv[3]);
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86 | 34 | storres | fprintf(stderr, |
87 | 34 | storres | "Aborting the program.\n\n");
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88 | 34 | storres | return(1); |
89 | 34 | storres | } |
90 | 34 | storres | |
91 | 34 | storres | degree = strtoul(argv[3], endptr, 10); |
92 | 34 | storres | /* For a completly safe conversion *endptr must point to a 0 char value
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93 | 34 | storres | (not the '0' but the '\0' char value!). */
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94 | 34 | storres | if (**endptr != '\0') |
95 | 34 | storres | { |
96 | 34 | storres | fprintf(stderr, |
97 | 34 | storres | "\n\n%s: could not safely convert the \"%s\" string into an int.\n",
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98 | 34 | storres | argv[0],
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99 | 34 | storres | argv[3]);
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100 | 34 | storres | fprintf(stderr, |
101 | 34 | storres | "Aborting the program!");
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102 | 34 | storres | return(1); |
103 | 34 | storres | } |
104 | 34 | storres | point = strtod(argv[4], endptr);
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105 | 34 | storres | /* For a completly safe conversion *endptr must point to a 0 char value
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106 | 34 | storres | (not the '0' but the '\0' char value!). */
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107 | 34 | storres | if (**endptr != '\0') |
108 | 34 | storres | { |
109 | 34 | storres | fprintf(stderr, |
110 | 34 | storres | "\n\n%s: could not safely convert the \"%s\" string into double.\n",
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111 | 34 | storres | argv[0],
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112 | 34 | storres | argv[4]);
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113 | 34 | storres | fprintf(stderr, |
114 | 34 | storres | "Aborting the program!");
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115 | 34 | storres | return(1); |
116 | 34 | storres | } |
117 | 34 | storres | /* Debug printing. */
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118 | 34 | storres | fprintf(stdout, |
119 | 34 | storres | "%s: function: %s\n", argv[0], functionString); |
120 | 34 | storres | fprintf(stdout, |
121 | 34 | storres | "%s: variable name: %s\n", argv[0], freeVariableName); |
122 | 34 | storres | fprintf(stdout, |
123 | 34 | storres | "%s: degree: %d\n", argv[0], degree); |
124 | 34 | storres | fprintf(stdout, |
125 | 34 | storres | "%s: point : %f\n", argv[0], point); |
126 | 34 | storres | fprintf(stdout, "\n");
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127 | 34 | storres | /* Initialize Sollya. */
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128 | 34 | storres | sollya_lib_init(); |
129 | 34 | storres | |
130 | 34 | storres | /* Set the free variable name. */
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131 | 34 | storres | sollya_lib_name_free_variable(freeVariableName); |
132 | 34 | storres | if (strcmp(sollya_lib_get_free_variable_name(), freeVariableName))
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133 | 34 | storres | { |
134 | 34 | storres | fprintf(stderr, "Could not set \"%s\" as the variable name. Aborting!\n",
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135 | 34 | storres | freeVariableName); |
136 | 34 | storres | sollya_lib_close(); |
137 | 34 | storres | return(1); |
138 | 34 | storres | } |
139 | 34 | storres | /* Parse the function string. */
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140 | 34 | storres | functionObj = pobyso_parse_string(functionString); |
141 | 34 | storres | if (sollya_lib_obj_is_error(functionObj))
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142 | 34 | storres | { |
143 | 34 | storres | fprintf(stderr, "%s: could not parse \"%s\". Aborting!\n", argv[0], functionString); |
144 | 34 | storres | sollya_lib_close(); |
145 | 34 | storres | return(1); |
146 | 34 | storres | } |
147 | 34 | storres | sollya_lib_fprintf(stdout, "%s: function: %b\n", argv[0], functionObj ); |
148 | 34 | storres | pobyso_autoprint(functionObj, NULL);
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149 | 34 | storres | /* Create the degree object. */
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150 | 34 | storres | degreeSo = sollya_lib_constant_from_uint64(degree); |
151 | 34 | storres | pobyso_autoprint(degreeSo, NULL);
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152 | 34 | storres | /* Create the point object. */
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153 | 34 | storres | pointSo = sollya_lib_constant_from_double(point); |
154 | 34 | storres | pobyso_autoprint(pointSo, NULL);
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155 | 34 | storres | |
156 | 34 | storres | tf = sollya_lib_taylorform(functionObj, degreeSo, pointSo, NULL);
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157 | 34 | storres | pobyso_autoprint(tf, NULL);
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158 | 34 | storres | |
159 | 34 | storres | if (sollya_lib_obj_is_list(tf))
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160 | 34 | storres | { |
161 | 34 | storres | fprintf(stdout, "%s: is a list.\n", argv[0]); |
162 | 34 | storres | } |
163 | 34 | storres | if (! sollya_lib_get_list_elements(&tfAsArray, &numTfElements, &tfIsEndElliptic, tf))
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164 | 34 | storres | { |
165 | 34 | storres | fprintf(stderr, "%s: convertion of tf to array failed. Aborting!\n",
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166 | 34 | storres | argv[0]);
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167 | 34 | storres | /* TODO: clean up. */
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168 | 34 | storres | sollya_lib_close(); |
169 | 34 | storres | return(1); |
170 | 34 | storres | } |
171 | 34 | storres | fprintf(stdout, "tfAsArray address: %p\n", tfAsArray);
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172 | 34 | storres | fprintf(stdout, "tf is end-elliptic: %d\n", tfIsEndElliptic);
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173 | 34 | storres | polySo = tfAsArray[0];
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174 | 34 | storres | fprintf(stdout, "PolySo address: %p\n", polySo);
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175 | 34 | storres | fprintf(stdout, "PolySo is a function: %d\n", sollya_lib_obj_is_function(polySo));
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176 | 34 | storres | pobyso_autoprint(polySo, NULL);
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177 | 34 | storres | pobyso_autoprint(tf, NULL);
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178 | 34 | storres | |
179 | 34 | storres | polySo = sollya_lib_get_object_list_head(tf); |
180 | 34 | storres | //fprintf(stdout, "PolySo is a function: %d\n", sollya_lib_obj_is_function(polySo));
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181 | 34 | storres | sollya_lib_clear_obj(degreeSo); |
182 | 34 | storres | sollya_lib_clear_obj(functionObj); |
183 | 34 | storres | |
184 | 34 | storres | #if 0
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185 | 34 | storres | fprintf(stderr, "Name of variable: %s\n", getNameOfVariable());
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186 | 34 | storres | if (functionNode->nodeType == VARIABLE)
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187 | 34 | storres | {
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188 | 34 | storres | fprintf(stderr, "Node type is VARIABLE.\n");
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189 | 34 | storres | if (getNameOfVariable != NULL)
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190 | 34 | storres | {
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191 | 34 | storres | if (strcmp(freeVariableName, getNameOfVariable()))
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192 | 34 | storres | {
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193 | 34 | storres | fprintf(stderr, "Could not parse %s. Aborting!\n", functionString);
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194 | 34 | storres | finishTool();
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195 | 34 | storres | return(1);
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196 | 34 | storres | }
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197 | 34 | storres | }
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198 | 34 | storres | }
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199 | 34 | storres | |
200 | 34 | storres | variableNode = makeVariable();
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201 | 34 | storres | |
202 | 34 | storres | powNode = makePow(variableNode, makeConstantDouble(3.0));
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203 | 34 | storres | functionDiffNode = differentiate(functionNode);
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204 | 34 | storres | fprintf(stderr, "\tfunctionNode tree...\n");
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205 | 34 | storres | fprintTree(stderr, functionNode);
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206 | 34 | storres | fprintf(stderr, "\n");
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207 | 34 | storres | fprintf(stderr, "\t...end functionNode tree.\n");
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208 | 34 | storres | fprintf(stderr, "\n");
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209 | 34 | storres | fprintf(stderr, "\tfunctionDiffNode tree...\n");
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210 | 34 | storres | fprintTree(stderr,functionDiffNode);
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211 | 34 | storres | fprintf(stderr, "\n");
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212 | 34 | storres | fprintf(stderr, "\t...end functionDiffNode tree.\n");
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213 | 34 | storres | fprintf(stderr, "\n\tvariableNode tree...\n");
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214 | 34 | storres | fprintTree(stderr, variableNode);
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215 | 34 | storres | fprintf(stderr, "\n");
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216 | 34 | storres | fprintf(stderr, "\t...end variableNode tree.\n");
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217 | 34 | storres | fprintf(stderr, "\n\tpowNode tree...\n");
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218 | 34 | storres | fprintTree(stderr, powNode);
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219 | 34 | storres | fprintf(stderr, "\n");
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220 | 34 | storres | fprintf(stderr, "\t...end powNode tree.\n");
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221 | 34 | storres | |
222 | 34 | storres | free_memory(variableNode);
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223 | 34 | storres | free_memory(functionNode);
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224 | 34 | storres | free_memory(functionDiffNode);
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225 | 34 | storres | #endif
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226 | 34 | storres | |
227 | 34 | storres | sollya_lib_close(); |
228 | 34 | storres | return(0); |
229 | 34 | storres | } /* End main */ |