approx_asin.h File Reference

#include <cmath>

Go to the source code of this file.

Functions
template<int DEGREE>
constexpr float	approx_asin_P (float z)
template<>
constexpr float	approx_asin_P< 11 > (float z)
template<>
constexpr float	approx_asin_P< 3 > (float z)
template<>
constexpr float	approx_asin_P< 5 > (float z)
template<>
constexpr float	approx_asin_P< 7 > (float z)
template<>
constexpr float	approx_asin_P< 9 > (float z)
template<int DEGREE>
constexpr float	unsafe_acos (float x)
template<int DEGREE>
constexpr float	unsafe_acos07 (float x)
template<int DEGREE>
constexpr float	unsafe_acos71 (float x)
template<int DEGREE>
constexpr float	unsafe_asin (float x)
template<int DEGREE>
constexpr float	unsafe_asin07 (float x)
template<int DEGREE>
constexpr float	unsafe_asin71 (float x)

Function Documentation

approx_asin_P()

template<int DEGREE>

constexpr float approx_asin_P

(

float

z

)

approx_asin_P< 11 >()

template<>

constexpr float approx_asin_P< 11 >

(

float

z

)

Definition at line 32 of file approx_asin.h.

References f, and ctppsOpticalFunctions_non_DB_cff::z.

                                           {
  return 1.f + z * (0.1668075025081634521484375f +
                    z * (7.20207393169403076171875e-2f +
                         z * (6.607978045940399169921875e-2f +
                              z * ((-3.6048568785190582275390625e-2f) + z * 0.10574872791767120361328125f))));
}

approx_asin_P< 3 >()

template<>

constexpr float approx_asin_P< 3 >

(

float

z

)

Definition at line 10 of file approx_asin.h.

References ctppsOpticalFunctions_non_DB_cff::z.

                                          {
  return 1.f + z * 0.2133004963397979736328125f;
}

approx_asin_P< 5 >()

template<>

constexpr float approx_asin_P< 5 >

(

float

z

)

Definition at line 15 of file approx_asin.h.

References ctppsOpticalFunctions_non_DB_cff::z.

                                          {
  return 1.f + z * (0.154711246490478515625f + z * 0.1322681009769439697265625f);
}

approx_asin_P< 7 >()

template<>

constexpr float approx_asin_P< 7 >

(

float

z

)

Definition at line 20 of file approx_asin.h.

References f, and ctppsOpticalFunctions_non_DB_cff::z.

                                          {
  return 1.f + z * (0.169519245624542236328125f + z * (4.9031913280487060546875e-2f + z * 0.10941398143768310546875));
}

approx_asin_P< 9 >()

template<>

constexpr float approx_asin_P< 9 >

(

float

z

)

Definition at line 25 of file approx_asin.h.

References f, and ctppsOpticalFunctions_non_DB_cff::z.

                                          {
  return 1.f + z * (0.166020572185516357421875f +
                    z * (8.44048559665679931640625e-2f +
                         z * (1.11602735705673694610595703125e-3f + z * 0.103476583957672119140625f)));
}

unsafe_acos()

template<int DEGREE>

constexpr float unsafe_acos

(

float

x

)

Definition at line 96 of file approx_asin.h.

References funct::abs(), f, and x.

                                     {
  return (std::abs(x) < 0.71f) ? unsafe_acos07<DEGREE>(x) : unsafe_acos71<DEGREE>(x);
}

unsafe_acos07()

template<int DEGREE>

constexpr float unsafe_acos07

(

float

x

)

Definition at line 70 of file approx_asin.h.

References ALPAKA_ACCELERATOR_NAMESPACE::brokenline::constexpr(), M_PI, and x.

                                       {
  constexpr float pihalf = M_PI / 2;
  return pihalf - unsafe_asin07<DEGREE>(x);
}

unsafe_acos71()

template<int DEGREE>

constexpr float unsafe_acos71

(

float

x

)

Definition at line 77 of file approx_asin.h.

References ALPAKA_ACCELERATOR_NAMESPACE::brokenline::constexpr(), M_PI, pi, mathSSE::sqrt(), x, and ctppsOpticalFunctions_non_DB_cff::z.

                                       {
  constexpr float pi = M_PI;
  auto z = 1.f - x * x;
  z = std::sqrt(z) * approx_asin_P<DEGREE>(z);
  return x > 0 ? z : pi - z;
}

unsafe_asin()

template<int DEGREE>

constexpr float unsafe_asin

(

float

x

)

Definition at line 91 of file approx_asin.h.

References funct::abs(), f, and x.

                                     {
  return (std::abs(x) < 0.71f) ? unsafe_asin07<DEGREE>(x) : unsafe_asin71<DEGREE>(x);
}

unsafe_asin07()

template<int DEGREE>

constexpr float unsafe_asin07

(

float

x

)

Definition at line 64 of file approx_asin.h.

References x, and ctppsOpticalFunctions_non_DB_cff::z.

                                       {
  auto z = x * x;
  return x * approx_asin_P<DEGREE>(z);
}

unsafe_asin71()

template<int DEGREE>

constexpr float unsafe_asin71

(

float

x

)

Definition at line 85 of file approx_asin.h.

References ALPAKA_ACCELERATOR_NAMESPACE::brokenline::constexpr(), M_PI, and x.

                                       {
  constexpr float pihalf = M_PI / 2;
  return pihalf - unsafe_acos71<DEGREE>(x);
}