include/numerix/tangent.hpp File Reference

#include <numerix/rational.hpp>
#include <basix/function.hpp>

Go to the source code of this file.

Classes

• class tangent< C, D >
• struct rounding_helper< tangent< C, D > >
• struct binary_helper< tangent< C, D > >

Namespaces

• namespace mmx

Defines

• #define TMPL_DEF   template<typename C, typename D=C>
• #define TMPL   template<typename C,typename D>
• #define Tangent   tangent<C,D>
• #define Abs_tangent   tangent<Abs_type(C),Abs_type(D) >
• #define Real_tangent   tangent<Real_type(C),Real_type(D) >

Functions

• template<typename C , typename D > C base (const tangent< C, D > &z)
• template<typename C , typename D > D slope (const tangent< C, D > &z)
• template<typename C , typename D > C & base (tangent< C, D > &z)
• template<typename C , typename D > D & slope (tangent< C, D > &z)
• template<typename C , typename D > tangent< C, D > operator- (const tangent< C, D > &z1, const tangent< C, D > &z2)
• DEFINE_BINARY_FORMAT_2 (tangent) template< typename C
• STYPE_TO_TYPE (template< typename C, typename D >, scalar_type, tangent< C, D >, C)
• UNARY_RETURN_TYPE (template< typename C, typename D >, Re_op, tangent< C, D >, tangent< Real_type(C), Real_type(D) >)
• UNARY_RETURN_TYPE (template< typename C, typename D >, abs_op, tangent< C, D >, tangent< Abs_type(C), Abs_type(D) >)
• template<typename C , typename D > void scalar_tangent (tangent< C, D > &r, const C &c)
• template<typename C , typename D > format< C > CF1 (const tangent< C, D > &z)
• template<typename C , typename D > format< D > CF2 (const tangent< C, D > &z)
• template<typename C , typename D > tangent< C, D > copy (const tangent< C, D > &z)
• template<typename C , typename D > tangent< C, D > duplicate (const tangent< C, D > &z)
• template<typename Op , typename C , typename D > nat unary_hash (const tangent< C, D > &x)
• template<typename Op , typename C , typename D > bool binary_test (const tangent< C, D > &x1, const tangent< C, D > &x2)
• template<typename CS , typename CD , typename DS , typename DD , typename FunC , typename FunD > tangent< CD, DD > map (const FunC &funC, const FunD &funD, const tangent< CS, DS > &z, const format< CD > &fmC, const format< DD > &fmD)
• TRUE_IDENTITY_OP_SUGAR (template< typename C, typename D >, tangent< C, D >) EXACT_IDENTITY_OP_SUGAR(template< typename C
• tangent< C, D > HARD_IDENTITY_OP_SUGAR (template< typename C, typename D >, tangent< C, D >) template< typename C
• tangent< C, D > D syntactic flatten (const tangent< C, D > &z)
• template<typename C , typename D > void set_default (tangent< C, D > &z)
• template<typename C , typename D > void set_nan (tangent< C, D > &z)
• template<typename C , typename D > void set_infinity (tangent< C, D > &z)
• template<typename C , typename D > void set_fuzz (tangent< C, D > &z)
• template<typename C , typename D > void set_smallest (tangent< C, D > &z)
• template<typename C , typename D > void set_largest (tangent< C, D > &z)
• template<typename C , typename D > void set_accuracy (tangent< C, D > &z)
• template<typename C , typename D > void set_log2 (tangent< C, D > &z)
• template<typename C , typename D > void set_pi (tangent< C, D > &z)
• template<typename C , typename D > void set_euler (tangent< C, D > &z)
• template<typename C , typename D > void set_imaginary (tangent< C, D > &z)
• template<typename C , typename D > tangent< C, D > times_infinity (const tangent< C, D > &x)
• template<typename C , typename D > tangent< C, D > operator- (const tangent< C, D > &z)
• template<typename C , typename D > tangent< C, D > operator+ (const tangent< C, D > &z1, const tangent< C, D > &z2)
• template<typename C , typename D > tangent< C, D > operator* (const tangent< C, D > &z1, const tangent< C, D > &z2)
• template<typename C , typename D > tangent< C, D > operator* (const C &z1, const tangent< C, D > &z2)
• template<typename C , typename D > tangent< C, D > operator* (const tangent< C, D > &z1, const C &z2)
• template<typename C , typename D > tangent< C, D > square (const tangent< C, D > &z)
• template<typename C , typename D > tangent< C, D > invert (const tangent< C, D > &z)
• template<typename C , typename D > tangent< C, D > operator/ (const tangent< C, D > &z1, const tangent< C, D > &z2)
• template<typename C , typename D > tangent< C, D > operator/ (const C &z1, const tangent< C, D > &z2)
• template<typename C , typename D > tangent< C, D > operator/ (const tangent< C, D > &z1, const C &z2)
• ARITH_INT_SUGAR (template< typename C, typename D >, tangent< C, D >)
• template<typename C , typename D > tangent< C, D > sqrt (const tangent< C, D > &z)
• template<typename C , typename D > tangent< C, D > exp (const tangent< C, D > &z)
• template<typename C , typename D > tangent< C, D > log (const tangent< C, D > &z)
• template<typename C , typename D , typename K > tangent< C, D > pow (const tangent< C, D > &z, const K &y)
• template<typename C , typename D > tangent< C, D > cos (const tangent< C, D > &z)
• template<typename C , typename D > tangent< C, D > sin (const tangent< C, D > &z)
• template<typename C , typename D > tangent< C, D > tan (const tangent< C, D > &z)
• template<typename C , typename D > tangent< C, D > cosh (const tangent< C, D > &z)
• template<typename C , typename D > tangent< C, D > sinh (const tangent< C, D > &z)
• template<typename C , typename D > tangent< C, D > tanh (const tangent< C, D > &z)
• template<typename C , typename D > tangent< C, D > acos (const tangent< C, D > &z)
• template<typename C , typename D > tangent< C, D > asin (const tangent< C, D > &z)
• template<typename C , typename D > tangent< C, D > atan (const tangent< C, D > &z)
• template<typename C , typename D > tangent< C, D > atan2 (const tangent< C, D > &y, const tangent< C, D > &x)
• HYPOT_SUGAR (template< typename C, typename D >, tangent< C, D >) INV_TRIGO_SUGAR(template< typename C
• tangent< C, D > INV_HYPER_SUGAR (template< typename C, typename D >, tangent< C, D >) ARG_HYPER_SUGAR(template< typename C
• template<typename C , typename D > tangent< C, D > tangent< C, D >
  bool operator<= (const tangent< C, D > &z1, const tangent< C, D > &z2)
• template<typename C , typename D > bool operator< (const tangent< C, D > &z1, const tangent< C, D > &z2)
• template<typename C , typename D > bool operator>= (const tangent< C, D > &z1, const tangent< C, D > &z2)
• template<typename C , typename D > bool operator> (const tangent< C, D > &z1, const tangent< C, D > &z2)
• template<typename C , typename D > tangent< C, D > min (const tangent< C, D > &z1, const tangent< C, D > &z2)
• template<typename C , typename D > tangent< C, D > max (const tangent< C, D > &z1, const tangent< C, D > &z2)
• EQUAL_INT_SUGAR (template< typename C, typename D >, tangent< C, D >)
• COMPARE_INT_SUGAR (template< typename C, typename D >, tangent< C, D >)
• EQUAL_SCALAR_SUGAR (template< typename C, typename D >, tangent< C, D >, C)
• COMPARE_SCALAR_SUGAR (template< typename C, typename D >, tangent< C, D >, C)
• EQUAL_SCALAR_SUGAR_BIS (template< typename C, typename D >, tangent< C, D >, C)
• COMPARE_SCALAR_SUGAR_BIS (template< typename C, typename D >, tangent< C, D >, C)
• template<typename C , typename D > bool is_finite (const tangent< C, D > &z)
• template<typename C , typename D > bool is_nan (const tangent< C, D > &z)
• template<typename C , typename D > bool is_infinite (const tangent< C, D > &z)
• template<typename C , typename D > bool is_fuzz (const tangent< C, D > &z)
• template<typename C , typename D > bool is_reliable (const tangent< C, D > &z)
• template<typename C , typename D > tangent< C, D > change_precision (const tangent< C, D > &z, xnat prec)
• template<typename C , typename D > xnat precision (const tangent< C, D > &z)
• template<typename C , typename D > tangent< C, D > additive_error (const tangent< C, D > &z)
• template<typename C , typename D > double magnitude (const tangent< C, D > &z)
• template<typename C , typename D > xint exponent (const tangent< C, D > &z)
• template<typename C , typename D > tangent< C, D > operator<< (const tangent< C, D > &z, const xint &shift)
• template<typename C , typename D > tangent< C, D > operator>> (const tangent< C, D > &z, const xint &shift)
• template<typename C , typename D > tangent< C, D > sharpen (const tangent< C, D > &z)
• template<typename C , typename D , typename C2 , typename D2 > tangent< C, D > blur (const tangent< C, D > &z, const tangent< C2, D2 > &r)
• template<typename C , typename D > tangent< Abs_type(C), Abs_type(D) > abs (const tangent< C, D > &z)
• template<typename C , typename D > tangent< Real_type(C),
  Real_type(D) > Re (const tangent< C, D > &z)
• template<typename C , typename D > tangent< Real_type(C),
  Real_type(D) > Im (const tangent< C, D > &z)
• template<typename CS , typename CD , typename DS , typename DD , typename FunC , typename FunD > tangent< CD, DD > map_tangent (const FunC &funC, const FunD &funD, const tangent< CS, DS > &z, const format< CD > &fmC, const format< DD > &fmD)

Variables

• D

---

Define Documentation

#define Abs_tangent   tangent<Abs_type(C),Abs_type(D) >

Definition at line 21 of file tangent.hpp.

#define Real_tangent   tangent<Real_type(C),Real_type(D) >

Definition at line 22 of file tangent.hpp.

#define Tangent   tangent<C,D>

Definition at line 20 of file tangent.hpp.

Referenced by binary_helper< tangent< C, D > >::assemble(), and binary_helper< tangent< C, D > >::read().

#define TMPL   template<typename C,typename D>

Definition at line 19 of file tangent.hpp.

#define TMPL_DEF   template<typename C, typename D=C>

Definition at line 18 of file tangent.hpp.