26#ifndef _CXSC_L_IMATH_HPP_INCLUDED
27#define _CXSC_L_IMATH_HPP_INCLUDED
29#include "l_interval.hpp"
34l_interval
pow (
const l_interval&,
const l_interval&);
36l_interval
power (
const l_interval&,
int);
38l_interval
sqr (
const l_interval&);
41l_interval
sqrt (
const l_interval&);
44l_interval
sqrt (
const l_interval&,
int);
48l_interval
sin (
const l_interval&);
51l_interval
cos (
const l_interval&);
54l_interval
tan (
const l_interval&);
57l_interval
cot (
const l_interval&);
61l_interval
asin (
const l_interval&);
64l_interval
acos (
const l_interval&);
67l_interval
atan (
const l_interval&)
noexcept;
69l_interval
acot (
const l_interval&)
noexcept;
72l_interval
exp (
const l_interval&);
75l_interval
exp2(
const l_interval &);
78l_interval
exp10(
const l_interval &);
81l_interval
expm1(
const l_interval & x)
noexcept;
83l_interval
expmx2 (
const l_interval&);
85l_interval
ln (
const l_interval&);
88l_interval
log2(
const l_interval &);
90l_interval
log10(
const l_interval &);
92l_interval
lnp1 (
const l_interval&)
noexcept;
94l_interval
sinh (
const l_interval&);
97l_interval
cosh (
const l_interval&);
100l_interval
tanh (
const l_interval&)
noexcept;
102l_interval
coth (
const l_interval&)
noexcept;
105l_interval
asinh (
const l_interval&);
108l_interval
acosh (
const l_interval&)
noexcept;
110l_interval
acoshp1 (
const l_interval& x);
112l_interval
atanh (
const l_interval&);
115l_interval
acoth (
const l_interval&);
119l_interval
sqrt1px2(
const l_interval&)
noexcept;
121l_interval
sqrtx2y2(
const l_interval&,
const l_interval&)
noexcept;
124l_interval
sqrtp1m1(
const l_interval&);
127l_interval
sqrtx2m1(
const l_interval&);
129l_interval
sqrt1mx2(
const l_interval&);
132l_interval
ln_sqrtx2y2(
const l_interval&,
const l_interval&)
noexcept;
The Multiple-Precision Data Type l_interval.
The namespace cxsc, providing all functionality of the class library C-XSC.
l_interval Sqrt3r_l_interval() noexcept
Enclosure-Interval for .
cinterval sqrtp1m1(const cinterval &z) noexcept
Calculates .
cinterval exp2(const cinterval &z) noexcept
Calculates .
cinterval sqrt1mx2(const cinterval &z) noexcept
Calculates .
l_interval SqrtPi_l_interval() noexcept
Enclosure-Interval for .
l_interval li_ln10()
Enclosure-Interval for .
cinterval asinh(const cinterval &z) noexcept
Calculates .
l_interval Ep2r_l_interval() noexcept
Enclosure-Interval for .
l_interval li_Rln10()
Enclosure-Interval for .
cinterval coth(const cinterval &z) noexcept
Calculates .
l_interval Pi2_l_interval() noexcept
Enclosure-Interval for .
l_interval Sqrt2Pir_l_interval() noexcept
Enclosure-Interval for .
l_interval Sqrt2Pi_l_interval() noexcept
Enclosure-Interval for .
cinterval log2(const cinterval &z) noexcept
Calculates .
l_interval Pi_l_interval() noexcept
Enclosure-Interval for .
l_interval Sqrt2_l_interval() noexcept
Enclosure-Interval for .
cinterval power(const cinterval &z, int n) noexcept
Calculates .
cinterval log10(const cinterval &z) noexcept
Calculates .
l_interval Ln10r_l_interval() noexcept
Enclosure-Interval for .
l_interval Ep2_l_interval() noexcept
Enclosure-Interval for .
l_interval EpPi_l_interval() noexcept
Enclosure-Interval for .
cinterval ln(const cinterval &z) noexcept
Calculates .
l_interval LnPi_l_interval() noexcept
Enclosure-Interval for .
cinterval pow(const cinterval &z, const interval &p) noexcept
Calculates .
l_interval Ep2Pi_l_interval() noexcept
Enclosure-Interval for .
l_interval Pir_l_interval() noexcept
Enclosure-Interval for .
l_interval Pip2_l_interval() noexcept
Enclosure-Interval for .
interval expmx2(const interval &x)
Calculates .
cinterval sinh(const cinterval &z) noexcept
Calculates .
l_interval li_pi4()
Enclosure-Interval for .
l_interval Catalan_l_interval() noexcept
Enclosure-Interval for Catalan Numbers.
l_interval Pid2_l_interval() noexcept
Enclosure-Interval for .
cinterval asin(const cinterval &z) noexcept
Calculates .
interval acoshp1(const interval &x)
Calculates .
cinterval tan(const cinterval &z) noexcept
Calculates .
cinterval exp10(const cinterval &z) noexcept
Calculates .
l_interval Sqrt7_l_interval() noexcept
Enclosure-Interval for .
l_interval E_l_interval() noexcept
Enclosure-Interval for .
cinterval acos(const cinterval &z) noexcept
Calculates .
l_interval Sqrt2r_l_interval() noexcept
Enclosure-Interval for .
cinterval sqrtx2m1(const cinterval &z) noexcept
Calculates .
l_interval EulerGa_l_interval() noexcept
Enclosure-Interval for Euler Gamma.
cinterval acosh(const cinterval &z) noexcept
Calculates .
l_interval Pid3_l_interval() noexcept
Enclosure-Interval for .
l_interval Sqrt3_l_interval() noexcept
Enclosure-Interval for .
l_interval SqrtPir_l_interval() noexcept
Enclosure-Interval for .
cinterval cosh(const cinterval &z) noexcept
Calculates .
l_interval Ln2r_l_interval() noexcept
Enclosure-Interval for .
l_interval EpPid2_l_interval() noexcept
Enclosure-Interval for .
cinterval cos(const cinterval &z) noexcept
Calculates .
l_interval Pid4_l_interval() noexcept
Enclosure-Interval for .
cinterval sqrt1px2(const cinterval &z) noexcept
Calculates .
l_interval Sqrt3d2_l_interval() noexcept
Enclosure-Interval for .
cinterval exp(const cinterval &z) noexcept
Calculates .
l_interval EpPid4_l_interval() noexcept
Enclosure-Interval for .
cinterval tanh(const cinterval &z) noexcept
Calculates .
interval ln_sqrtx2y2(const interval &x, const interval &y) noexcept
Calculates .
cinterval expm1(const cinterval &z) noexcept
Calculates .
cinterval cot(const cinterval &z) noexcept
Calculates .
l_interval Er_l_interval() noexcept
Enclosure-Interval for .
cinterval sqrt(const cinterval &z) noexcept
Calculates .
cinterval acot(const cinterval &z) noexcept
Calculates .
l_interval Ln2Pi_l_interval() noexcept
Enclosure-Interval for .
cinterval sqr(const cinterval &z) noexcept
Calculates .
l_interval Sqrt5_l_interval() noexcept
Enclosure-Interval for .
l_interval Ln2_l_interval() noexcept
Enclosure-Interval for .
cinterval lnp1(const cinterval &z) noexcept
Calculates .
l_interval li_ln2()
Enclosure-Interval for .
cinterval atan(const cinterval &z) noexcept
Calculates .
cinterval atanh(const cinterval &z) noexcept
Calculates .
l_interval Ln10_l_interval() noexcept
Enclosure-Interval for .
cinterval acoth(const cinterval &z) noexcept
Calculates .
l_interval li_sqrt2()
Enclosure-Interval for .
interval sqrtx2y2(const interval &x, const interval &y) noexcept
Calculates .
cinterval sin(const cinterval &z) noexcept
Calculates .
l_interval Pi2r_l_interval() noexcept
Enclosure-Interval for .