glue/glue_rational.cpp

Go to the documentation of this file.

#include <basix/int.hpp>
#include <basix/vector.hpp>
#include <basix/port.hpp>
#include <basix/literal.hpp>
#include <numerix/integer.hpp>
#include <numerix/modular.hpp>
#include <numerix/modular_integer.hpp>
#include <numerix/rational.hpp>
#include <basix/glue.hpp>

#define int_literal(x) as_int (as_string (x))
#define is_generic_literal is<literal>
#define gen_literal_apply(f,v) gen (as<generic> (f), v)
#define gen_literal_access(f,v) access (as<generic> (f), v)

namespace mmx {
  static rational
  GLUE_1 (const integer &arg_1) {
    return rational (arg_1);
  }
  
  static rational
  GLUE_2 (const integer &arg_1, const integer &arg_2) {
    return rational_new (arg_1, arg_2);
  }
  
  static rational
  GLUE_3 (const int &arg_1) {
    return rational (arg_1);
  }
  
  static rational
  GLUE_4 (const integer &arg_1) {
    return rational (arg_1);
  }
  
  static double
  GLUE_5 (const rational &arg_1) {
    return as_double (arg_1);
  }
  
  static rational
  GLUE_6 (const integer &arg_1, const integer &arg_2) {
    return rational_new (arg_1, arg_2);
  }
  
  static integer
  GLUE_7 (const rational &arg_1) {
    return numerator (arg_1);
  }
  
  static integer
  GLUE_8 (const rational &arg_1) {
    return denominator (arg_1);
  }
  
  static bool
  GLUE_9 (const rational &arg_1) {
    return is_integer (arg_1);
  }
  
  static rational
  GLUE_10 (const rational &arg_1) {
    return -arg_1;
  }
  
  static rational
  GLUE_11 (const rational &arg_1) {
    return square (arg_1);
  }
  
  static rational
  GLUE_12 (const rational &arg_1, const rational &arg_2) {
    return arg_1 + arg_2;
  }
  
  static rational
  GLUE_13 (const rational &arg_1, const rational &arg_2) {
    return arg_1 - arg_2;
  }
  
  static rational
  GLUE_14 (const rational &arg_1, const rational &arg_2) {
    return arg_1 * arg_2;
  }
  
  static rational
  GLUE_15 (const rational &arg_1, const rational &arg_2) {
    return arg_1 / arg_2;
  }
  
  static rational
  GLUE_16 (const rational &arg_1, const integer &arg_2) {
    return arg_1 + arg_2;
  }
  
  static rational
  GLUE_17 (const rational &arg_1, const integer &arg_2) {
    return arg_1 - arg_2;
  }
  
  static rational
  GLUE_18 (const rational &arg_1, const integer &arg_2) {
    return arg_1 * arg_2;
  }
  
  static rational
  GLUE_19 (const rational &arg_1, const integer &arg_2) {
    return arg_1 / arg_2;
  }
  
  static rational
  GLUE_20 (const integer &arg_1, const rational &arg_2) {
    return arg_1 + arg_2;
  }
  
  static rational
  GLUE_21 (const integer &arg_1, const rational &arg_2) {
    return arg_1 - arg_2;
  }
  
  static rational
  GLUE_22 (const integer &arg_1, const rational &arg_2) {
    return arg_1 * arg_2;
  }
  
  static rational
  GLUE_23 (const integer &arg_1, const rational &arg_2) {
    return arg_1 / arg_2;
  }
  
  static generic
  GLUE_24 (const integer &arg_1, const integer &arg_2) {
    return old_integer_pow (arg_1, arg_2);
  }
  
  static rational
  GLUE_25 (const rational &arg_1, const integer &arg_2) {
    return pow (arg_1, arg_2);
  }
  
  static rational
  GLUE_26 (const rational &arg_1, const rational &arg_2) {
    return arg_1 / arg_2;
  }
  
  static bool
  GLUE_27 (const rational &arg_1, const rational &arg_2) {
    return divides (arg_1, arg_2);
  }
  
  static rational
  GLUE_28 (const rational &arg_1, const rational &arg_2) {
    return gcd (arg_1, arg_2);
  }
  
  static rational
  GLUE_29 (const rational &arg_1, const rational &arg_2) {
    return lcm (arg_1, arg_2);
  }
  
  static bool
  GLUE_30 (const rational &arg_1, const rational &arg_2) {
    return arg_1 == arg_2;
  }
  
  static bool
  GLUE_31 (const rational &arg_1, const rational &arg_2) {
    return arg_1 != arg_2;
  }
  
  static bool
  GLUE_32 (const rational &arg_1, const rational &arg_2) {
    return arg_1 < arg_2;
  }
  
  static bool
  GLUE_33 (const rational &arg_1, const rational &arg_2) {
    return arg_1 <= arg_2;
  }
  
  static bool
  GLUE_34 (const rational &arg_1, const rational &arg_2) {
    return arg_1 > arg_2;
  }
  
  static bool
  GLUE_35 (const rational &arg_1, const rational &arg_2) {
    return arg_1 >= arg_2;
  }
  
  static bool
  GLUE_36 (const rational &arg_1, const integer &arg_2) {
    return arg_1 == arg_2;
  }
  
  static bool
  GLUE_37 (const rational &arg_1, const integer &arg_2) {
    return arg_1 != arg_2;
  }
  
  static bool
  GLUE_38 (const rational &arg_1, const integer &arg_2) {
    return arg_1 < arg_2;
  }
  
  static bool
  GLUE_39 (const rational &arg_1, const integer &arg_2) {
    return arg_1 <= arg_2;
  }
  
  static bool
  GLUE_40 (const rational &arg_1, const integer &arg_2) {
    return arg_1 > arg_2;
  }
  
  static bool
  GLUE_41 (const rational &arg_1, const integer &arg_2) {
    return arg_1 >= arg_2;
  }
  
  static bool
  GLUE_42 (const integer &arg_1, const rational &arg_2) {
    return arg_1 == arg_2;
  }
  
  static bool
  GLUE_43 (const integer &arg_1, const rational &arg_2) {
    return arg_1 != arg_2;
  }
  
  static bool
  GLUE_44 (const integer &arg_1, const rational &arg_2) {
    return arg_1 < arg_2;
  }
  
  static bool
  GLUE_45 (const integer &arg_1, const rational &arg_2) {
    return arg_1 <= arg_2;
  }
  
  static bool
  GLUE_46 (const integer &arg_1, const rational &arg_2) {
    return arg_1 > arg_2;
  }
  
  static bool
  GLUE_47 (const integer &arg_1, const rational &arg_2) {
    return arg_1 >= arg_2;
  }
  
  static int
  GLUE_48 (const rational &arg_1) {
    return sign (arg_1);
  }
  
  static rational
  GLUE_49 (const rational &arg_1) {
    return abs (arg_1);
  }
  
  static rational
  GLUE_50 (const rational &arg_1, const rational &arg_2) {
    return min (arg_1, arg_2);
  }
  
  static rational
  GLUE_51 (const rational &arg_1, const rational &arg_2) {
    return max (arg_1, arg_2);
  }
  
  static rational
  GLUE_52 (const rational &arg_1, const integer &arg_2) {
    return min (arg_1, arg_2);
  }
  
  static rational
  GLUE_53 (const rational &arg_1, const integer &arg_2) {
    return max (arg_1, arg_2);
  }
  
  static rational
  GLUE_54 (const integer &arg_1, const rational &arg_2) {
    return min (arg_1, arg_2);
  }
  
  static rational
  GLUE_55 (const integer &arg_1, const rational &arg_2) {
    return max (arg_1, arg_2);
  }
  
  static rational
  GLUE_56 (const rational &arg_1, const rational &arg_2) {
    return min (arg_1, arg_2);
  }
  
  static rational
  GLUE_57 (const rational &arg_1, const rational &arg_2) {
    return max (arg_1, arg_2);
  }
  
  static rational
  GLUE_58 (const rational &arg_1, const integer &arg_2) {
    return min (arg_1, arg_2);
  }
  
  static rational
  GLUE_59 (const rational &arg_1, const integer &arg_2) {
    return max (arg_1, arg_2);
  }
  
  static rational
  GLUE_60 (const integer &arg_1, const rational &arg_2) {
    return min (arg_1, arg_2);
  }
  
  static rational
  GLUE_61 (const integer &arg_1, const rational &arg_2) {
    return max (arg_1, arg_2);
  }
  
  static rational
  GLUE_62 (const rational &arg_1) {
    return floor (arg_1);
  }
  
  static rational
  GLUE_63 (const rational &arg_1) {
    return ceil (arg_1);
  }
  
  static rational
  GLUE_64 (const rational &arg_1) {
    return trunc (arg_1);
  }
  
  static rational
  GLUE_65 (const rational &arg_1) {
    return round (arg_1);
  }
  
  static rational
  GLUE_66 (const mmx_modular(int) &arg_1) {
    return reconstruct (arg_1);
  }
  
  static rational
  GLUE_67 (const mmx_modular(integer) &arg_1) {
    return reconstruct (arg_1);
  }
  
  void
  glue_rational () {
    static bool done = false;
    if (done) return;
    done = true;
    call_glue (string ("glue_int"));
    call_glue (string ("glue_integer"));
    call_glue (string ("glue_modular_int"));
    call_glue (string ("glue_modular_integer"));
    define_type<rational > (lit ("Rational"));
    define ("rational", GLUE_1);
    define ("rational", GLUE_2);
    define_converter ("upgrade", GLUE_3, PENALTY_INCLUSION);
    define_converter ("upgrade", GLUE_4, PENALTY_INCLUSION);
    define_converter ("upgrade", GLUE_5, PENALTY_INCLUSION);
    define ("/", GLUE_6);
    define ("numerator", GLUE_7);
    define ("denominator", GLUE_8);
    define ("integer?", GLUE_9);
    define ("-", GLUE_10);
    define ("square", GLUE_11);
    define ("+", GLUE_12);
    define ("-", GLUE_13);
    define ("*", GLUE_14);
    define ("/", GLUE_15);
    define ("+", GLUE_16);
    define ("-", GLUE_17);
    define ("*", GLUE_18);
    define ("/", GLUE_19);
    define ("+", GLUE_20);
    define ("-", GLUE_21);
    define ("*", GLUE_22);
    define ("/", GLUE_23);
    define ("^", GLUE_24);
    define ("^", GLUE_25);
    define ("div", GLUE_26);
    define ("divides?", GLUE_27);
    define ("gcd", GLUE_28);
    define ("lcm", GLUE_29);
    define ("=", GLUE_30);
    define ("!=", GLUE_31);
    define ("<", GLUE_32);
    define ("<=", GLUE_33);
    define (">", GLUE_34);
    define (">=", GLUE_35);
    define ("=", GLUE_36);
    define ("!=", GLUE_37);
    define ("<", GLUE_38);
    define ("<=", GLUE_39);
    define (">", GLUE_40);
    define (">=", GLUE_41);
    define ("=", GLUE_42);
    define ("!=", GLUE_43);
    define ("<", GLUE_44);
    define ("<=", GLUE_45);
    define (">", GLUE_46);
    define (">=", GLUE_47);
    define ("sign", GLUE_48);
    define ("abs", GLUE_49);
    define ("min", GLUE_50);
    define ("max", GLUE_51);
    define ("min", GLUE_52);
    define ("max", GLUE_53);
    define ("min", GLUE_54);
    define ("max", GLUE_55);
    define ("inf", GLUE_56);
    define ("sup", GLUE_57);
    define ("inf", GLUE_58);
    define ("sup", GLUE_59);
    define ("inf", GLUE_60);
    define ("sup", GLUE_61);
    define ("floor", GLUE_62);
    define ("ceil", GLUE_63);
    define ("trunc", GLUE_64);
    define ("round", GLUE_65);
    define ("reconstruct", GLUE_66);
    define ("reconstruct", GLUE_67);
  }
}

---