rng-inl.h

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#ifndef FCL_MATH_RNG_INL_H
#define FCL_MATH_RNG_INL_H
 
#include "fcl/math/rng.h"
 
namespace fcl
{
 
//==============================================================================
extern template
class FCL_EXPORT RNG<double>;
 
//==============================================================================
template <typename S>
RNG<S>::RNG()
  : generator_(detail::Seed::getNextSeed()), uniDist_(0, 1), normalDist_(0, 1)
{
}
 
//==============================================================================
template <typename S>
S RNG<S>::uniform01()
{
  return uniDist_(generator_);
}
 
//==============================================================================
template <typename S>
S RNG<S>::uniformReal(S lower_bound, S upper_bound)
{
  assert(lower_bound <= upper_bound);
 
  return (upper_bound - lower_bound) * uniDist_(generator_) + lower_bound;
}
 
//==============================================================================
template <typename S>
int RNG<S>::uniformInt(int lower_bound, int upper_bound)
{
  int r = (int)floor(uniformReal((S)lower_bound, (S)(upper_bound) + 1.0));
 
  return (r > upper_bound) ? upper_bound : r;
}
 
//==============================================================================
template <typename S>
bool RNG<S>::uniformBool()
{
  return uniDist_(generator_) <= 0.5;
}
 
//==============================================================================
template <typename S>
S RNG<S>::gaussian01()
{
  return normalDist_(generator_);
}
 
//==============================================================================
template <typename S>
S RNG<S>::gaussian(S mean, S stddev)
{
  return normalDist_(generator_) * stddev + mean;
}
 
//==============================================================================
template <typename S>
S RNG<S>::halfNormalReal(S r_min, S r_max, S focus)
{
  assert(r_min <= r_max);
 
  const auto mean = r_max - r_min;
  auto v = gaussian(mean, mean / focus);
 
  if (v > mean)
    v = 2.0 * mean - v;
 
  auto r = v >= 0.0 ? v + r_min : r_min;
 
  return r > r_max ? r_max : r;
}
 
//==============================================================================
template <typename S>
int RNG<S>::halfNormalInt(int r_min, int r_max, S focus)
{
  int r = (int)std::floor(halfNormalReal(
                       (S)r_min, (S)(r_max) + 1.0, focus));
 
  return (r > r_max) ? r_max : r;
}
 
//==============================================================================
template <typename S>
void RNG<S>::quaternion(S value[])
{
  auto x0 = uniDist_(generator_);
  auto r1 = std::sqrt(1.0 - x0), r2 = std::sqrt(x0);
  auto t1 = 2.0 * constants<S>::pi() * uniDist_(generator_);
  auto t2 = 2.0 * constants<S>::pi() * uniDist_(generator_);
  auto c1 = std::cos(t1);
  auto s1 = std::sin(t1);
  auto c2 = std::cos(t2);
  auto s2 = std::sin(t2);
  value[0] = s1 * r1;
  value[1] = c1 * r1;
  value[2] = s2 * r2;
  value[3] = c2 * r2;
}
 
//==============================================================================
template <typename S>
void RNG<S>::eulerRPY(S value[])
{
  value[0] = constants<S>::pi() * (2.0 * uniDist_(generator_) - 1.0);
  value[1] = std::acos(1.0 - 2.0 * uniDist_(generator_)) - constants<S>::pi() / 2.0;
  value[2] = constants<S>::pi() * (2.0 * uniDist_(generator_) - 1.0);
}
 
//==============================================================================
template <typename S>
void RNG<S>::disk(S r_min, S r_max, S& x, S& y)
{
  auto a = uniform01();
  auto b = uniform01();
  auto r = std::sqrt(a * r_max * r_max + (1 - a) * r_min * r_min);
  auto theta = 2 * constants<S>::pi() * b;
  x = r * std::cos(theta);
  y = r * std::sin(theta);
}
 
//==============================================================================
template <typename S>
void RNG<S>::ball(
    S r_min, S r_max, S& x, S& y, S& z)
{
  auto a = uniform01();
  auto b = uniform01();
  auto c = uniform01();
  auto r = std::pow(a*std::pow(r_max, 3) + (1 - a)*std::pow(r_min, 3), 1/3.0);
  auto theta = std::acos(1 - 2 * b);
  auto phi = 2 * constants<S>::pi() * c;
 
  auto costheta = std::cos(theta);
  auto sintheta = std::sin(theta);
  auto cosphi = std::cos(phi);
  auto sinphi = std::sin(phi);
  x = r * costheta;
  y = r * sintheta * cosphi;
  z = r * sintheta * sinphi;
}
 
//==============================================================================
template <typename S>
void RNG<S>::setSeed(uint_fast32_t seed)
{
  if (detail::Seed::isFirstSeedGenerated())
  {
    std::cerr << "Random number generation already started. Changing seed now "
              << "will not lead to deterministic sampling.\n";
  }
 
  if (seed == 0)
  {
    std::cerr << "Random generator seed cannot be 0. Using 1 instead.\n";
    detail::Seed::setUserSetSeed(1);
  }
  else
  {
    detail::Seed::setUserSetSeed(seed);
  }
}
 
//==============================================================================
template <typename S>
uint_fast32_t RNG<S>::getSeed()
{
  return detail::Seed::getFirstSeed();
}
 
} // namespace fcl
 
#endif