numerix_doc 0.4
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00001 00002 #include <numerix/integer.hpp> 00003 #include <numerix/rational.hpp> 00004 #include <numerix/floating.hpp> 00005 #include <basix/double.hpp> 00006 #include <numerix/interval.hpp> 00007 #include <basix/glue.hpp> 00008 00009 #define double_literal(x) as_double (as_string (x)) 00010 00011 namespace mmx { 00012 static interval<mmx_floating> 00013 GLUE_1 (const mmx_floating &arg_1) { 00014 return interval<mmx_floating > (arg_1); 00015 } 00016 00017 static interval<mmx_floating> 00018 GLUE_2 (const mmx_floating &arg_1, const mmx_floating &arg_2) { 00019 return interval<mmx_floating > (arg_1, arg_2); 00020 } 00021 00022 static interval<mmx_floating> 00023 GLUE_3 (const mmx_floating &arg_1) { 00024 return interval<mmx_floating > (arg_1); 00025 } 00026 00027 static mmx_floating 00028 GLUE_4 (const interval<mmx_floating> &arg_1) { 00029 return lower (arg_1); 00030 } 00031 00032 static mmx_floating 00033 GLUE_5 (const interval<mmx_floating> &arg_1) { 00034 return upper (arg_1); 00035 } 00036 00037 static mmx_floating 00038 GLUE_6 (const interval<mmx_floating> &arg_1) { 00039 return center (arg_1); 00040 } 00041 00042 static mmx_floating 00043 GLUE_7 (const interval<mmx_floating> &arg_1) { 00044 return radius (arg_1); 00045 } 00046 00047 static interval<mmx_floating> 00048 GLUE_8 (const interval<mmx_floating> &arg_1) { 00049 return -arg_1; 00050 } 00051 00052 static interval<mmx_floating> 00053 GLUE_9 (const interval<mmx_floating> &arg_1) { 00054 return square (arg_1); 00055 } 00056 00057 static interval<mmx_floating> 00058 GLUE_10 (const interval<mmx_floating> &arg_1, const interval<mmx_floating> &arg_2) { 00059 return arg_1 + arg_2; 00060 } 00061 00062 static interval<mmx_floating> 00063 GLUE_11 (const interval<mmx_floating> &arg_1, const interval<mmx_floating> &arg_2) { 00064 return arg_1 - arg_2; 00065 } 00066 00067 static interval<mmx_floating> 00068 GLUE_12 (const interval<mmx_floating> &arg_1, const interval<mmx_floating> &arg_2) { 00069 return arg_1 * arg_2; 00070 } 00071 00072 static interval<mmx_floating> 00073 GLUE_13 (const mmx_floating &arg_1, const interval<mmx_floating> &arg_2) { 00074 return arg_1 + arg_2; 00075 } 00076 00077 static interval<mmx_floating> 00078 GLUE_14 (const interval<mmx_floating> &arg_1, const mmx_floating &arg_2) { 00079 return arg_1 + arg_2; 00080 } 00081 00082 static interval<mmx_floating> 00083 GLUE_15 (const mmx_floating &arg_1, const interval<mmx_floating> &arg_2) { 00084 return arg_1 - arg_2; 00085 } 00086 00087 static interval<mmx_floating> 00088 GLUE_16 (const interval<mmx_floating> &arg_1, const mmx_floating &arg_2) { 00089 return arg_1 - arg_2; 00090 } 00091 00092 static interval<mmx_floating> 00093 GLUE_17 (const mmx_floating &arg_1, const interval<mmx_floating> &arg_2) { 00094 return arg_1 * arg_2; 00095 } 00096 00097 static interval<mmx_floating> 00098 GLUE_18 (const interval<mmx_floating> &arg_1, const mmx_floating &arg_2) { 00099 return arg_1 * arg_2; 00100 } 00101 00102 static interval<mmx_floating> 00103 GLUE_19 (const interval<mmx_floating> &arg_1, const mmx_floating &arg_2) { 00104 return arg_1 / arg_2; 00105 } 00106 00107 static interval<mmx_floating> 00108 GLUE_20 (const interval<mmx_floating> &arg_1, const interval<mmx_floating> &arg_2) { 00109 return arg_1 / arg_2; 00110 } 00111 00112 static interval<mmx_floating> 00113 GLUE_21 (const mmx_floating &arg_1, const interval<mmx_floating> &arg_2) { 00114 return arg_1 / arg_2; 00115 } 00116 00117 static interval<mmx_floating> 00118 GLUE_22 (const interval<mmx_floating> &arg_1) { 00119 return sqrt (arg_1); 00120 } 00121 00122 static interval<mmx_floating> 00123 GLUE_23 (const interval<mmx_floating> &arg_1) { 00124 return exp (arg_1); 00125 } 00126 00127 static interval<mmx_floating> 00128 GLUE_24 (const interval<mmx_floating> &arg_1) { 00129 return log (arg_1); 00130 } 00131 00132 static interval<mmx_floating> 00133 GLUE_25 (const interval<mmx_floating> &arg_1, const interval<mmx_floating> &arg_2) { 00134 return pow (arg_1, arg_2); 00135 } 00136 00137 static interval<mmx_floating> 00138 GLUE_26 (const interval<mmx_floating> &arg_1) { 00139 return cos (arg_1); 00140 } 00141 00142 static interval<mmx_floating> 00143 GLUE_27 (const interval<mmx_floating> &arg_1) { 00144 return sin (arg_1); 00145 } 00146 00147 static interval<mmx_floating> 00148 GLUE_28 (const interval<mmx_floating> &arg_1) { 00149 return tan (arg_1); 00150 } 00151 00152 static interval<mmx_floating> 00153 GLUE_29 (const interval<mmx_floating> &arg_1) { 00154 return acos (arg_1); 00155 } 00156 00157 static interval<mmx_floating> 00158 GLUE_30 (const interval<mmx_floating> &arg_1) { 00159 return asin (arg_1); 00160 } 00161 00162 static interval<mmx_floating> 00163 GLUE_31 (const interval<mmx_floating> &arg_1) { 00164 return atan (arg_1); 00165 } 00166 00167 static bool 00168 GLUE_32 (const interval<mmx_floating> &arg_1, const interval<mmx_floating> &arg_2) { 00169 return arg_1 < arg_2; 00170 } 00171 00172 static bool 00173 GLUE_33 (const interval<mmx_floating> &arg_1, const interval<mmx_floating> &arg_2) { 00174 return arg_1 > arg_2; 00175 } 00176 00177 static bool 00178 GLUE_34 (const interval<mmx_floating> &arg_1, const interval<mmx_floating> &arg_2) { 00179 return arg_1 <= arg_2; 00180 } 00181 00182 static bool 00183 GLUE_35 (const interval<mmx_floating> &arg_1, const interval<mmx_floating> &arg_2) { 00184 return arg_1 >= arg_2; 00185 } 00186 00187 static interval<mmx_floating> 00188 GLUE_36 (const interval<mmx_floating> &arg_1) { 00189 return abs (arg_1); 00190 } 00191 00192 static interval<mmx_floating> 00193 GLUE_37 (const interval<mmx_floating> &arg_1, const interval<mmx_floating> &arg_2) { 00194 return min (arg_1, arg_2); 00195 } 00196 00197 static interval<mmx_floating> 00198 GLUE_38 (const interval<mmx_floating> &arg_1, const interval<mmx_floating> &arg_2) { 00199 return max (arg_1, arg_2); 00200 } 00201 00202 static interval<mmx_floating> 00203 GLUE_39 (const interval<mmx_floating> &arg_1) { 00204 return floor (arg_1); 00205 } 00206 00207 static interval<mmx_floating> 00208 GLUE_40 (const interval<mmx_floating> &arg_1) { 00209 return ceil (arg_1); 00210 } 00211 00212 static interval<mmx_floating> 00213 GLUE_41 (const interval<mmx_floating> &arg_1) { 00214 return trunc (arg_1); 00215 } 00216 00217 static interval<mmx_floating> 00218 GLUE_42 (const interval<mmx_floating> &arg_1) { 00219 return round (arg_1); 00220 } 00221 00222 static bool 00223 GLUE_43 (const interval<mmx_floating> &arg_1) { 00224 return is_finite (arg_1); 00225 } 00226 00227 static bool 00228 GLUE_44 (const interval<mmx_floating> &arg_1) { 00229 return is_infinite (arg_1); 00230 } 00231 00232 static bool 00233 GLUE_45 (const interval<mmx_floating> &arg_1) { 00234 return is_nan (arg_1); 00235 } 00236 00237 static interval<mmx_floating> 00238 GLUE_46 (const interval<mmx_floating> &arg_1) { 00239 return times_infinity (arg_1); 00240 } 00241 00242 static int 00243 GLUE_47 (const interval<mmx_floating> &arg_1) { 00244 return precision (arg_1); 00245 } 00246 00247 static int 00248 GLUE_48 (const interval<mmx_floating> &arg_1) { 00249 return exponent (arg_1); 00250 } 00251 00252 static double 00253 GLUE_49 (const interval<mmx_floating> &arg_1) { 00254 return magnitude (arg_1); 00255 } 00256 00257 static interval<mmx_floating> 00258 GLUE_50 (const interval<mmx_floating> &arg_1, const int &arg_2) { 00259 return incexp2 (arg_1, arg_2); 00260 } 00261 00262 static interval<mmx_floating> 00263 GLUE_51 (const interval<mmx_floating> &arg_1, const int &arg_2) { 00264 return decexp2 (arg_1, arg_2); 00265 } 00266 00267 void 00268 glue_interval_floating () { 00269 static bool done = false; 00270 if (done) return; 00271 done = true; 00272 call_glue (string ("glue_floating")); 00273 call_glue (string ("glue_interval_double")); 00274 define_type<interval<mmx_floating> > (gen (lit ("Interval"), lit ("Floating"))); 00275 define ("interval", GLUE_1); 00276 define ("interval", GLUE_2); 00277 define_converter ("upgrade", GLUE_3, PENALTY_INCLUSION); 00278 define ("lower", GLUE_4); 00279 define ("upper", GLUE_5); 00280 define ("center", GLUE_6); 00281 define ("radius", GLUE_7); 00282 define ("-", GLUE_8); 00283 define ("square", GLUE_9); 00284 define ("+", GLUE_10); 00285 define ("-", GLUE_11); 00286 define ("*", GLUE_12); 00287 define ("+", GLUE_13); 00288 define ("+", GLUE_14); 00289 define ("-", GLUE_15); 00290 define ("-", GLUE_16); 00291 define ("*", GLUE_17); 00292 define ("*", GLUE_18); 00293 define ("/", GLUE_19); 00294 define ("/", GLUE_20); 00295 define ("/", GLUE_21); 00296 define ("sqrt", GLUE_22); 00297 define ("exp", GLUE_23); 00298 define ("log", GLUE_24); 00299 define ("^", GLUE_25); 00300 define ("cos", GLUE_26); 00301 define ("sin", GLUE_27); 00302 define ("tan", GLUE_28); 00303 define ("arccos", GLUE_29); 00304 define ("arcsin", GLUE_30); 00305 define ("arctan", GLUE_31); 00306 define ("<", GLUE_32); 00307 define (">", GLUE_33); 00308 define ("<=", GLUE_34); 00309 define (">=", GLUE_35); 00310 define ("abs", GLUE_36); 00311 define ("min", GLUE_37); 00312 define ("max", GLUE_38); 00313 define ("floor", GLUE_39); 00314 define ("ceil", GLUE_40); 00315 define ("trunc", GLUE_41); 00316 define ("round", GLUE_42); 00317 define ("finite?", GLUE_43); 00318 define ("infinite?", GLUE_44); 00319 define ("nan?", GLUE_45); 00320 define ("times_infinity", GLUE_46); 00321 define ("precision", GLUE_47); 00322 define ("exponent", GLUE_48); 00323 define ("magnitude", GLUE_49); 00324 define ("increase_exponent", GLUE_50); 00325 define ("decrease_exponent", GLUE_51); 00326 } 00327 }