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+//----------------------------------------------------------------------------------------
+//
+// siv::PerlinNoise
+// Perlin noise library for modern C++
+//
+// Copyright (C) 2013-2021 Ryo Suzuki <reputeless@gmail.com>
+//
+// Permission is hereby granted, free of charge, to any person obtaining a copy
+// of this software and associated documentation files(the "Software"), to deal
+// in the Software without restriction, including without limitation the rights
+// to use, copy, modify, merge, publish, distribute, sublicense, and / or sell
+// copies of the Software, and to permit persons to whom the Software is
+// furnished to do so, subject to the following conditions :
+//
+// The above copyright notice and this permission notice shall be included in
+// all copies or substantial portions of the Software.
+//
+// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.IN NO EVENT SHALL THE
+// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+// THE SOFTWARE.
+//
+//----------------------------------------------------------------------------------------
+
+# pragma once
+# include <cstdint>
+# include <algorithm>
+# include <array>
+# include <iterator>
+# include <numeric>
+# include <random>
+# include <type_traits>
+
+# if __has_include(<concepts>) && defined(__cpp_concepts)
+# include <concepts>
+# endif
+
+
+// Library major version
+# define SIVPERLIN_VERSION_MAJOR 3
+
+// Library minor version
+# define SIVPERLIN_VERSION_MINOR 0
+
+// Library revision version
+# define SIVPERLIN_VERSION_REVISION 0
+
+// Library version
+# define SIVPERLIN_VERSION ((SIVPERLIN_VERSION_MAJOR * 100 * 100) + (SIVPERLIN_VERSION_MINOR * 100) + (SIVPERLIN_VERSION_REVISION))
+
+
+// [[nodiscard]] for constructors
+# if (201907L <= __has_cpp_attribute(nodiscard))
+# define SIVPERLIN_NODISCARD_CXX20 [[nodiscard]]
+# else
+# define SIVPERLIN_NODISCARD_CXX20
+# endif
+
+
+// std::uniform_random_bit_generator concept
+# if __cpp_lib_concepts
+# define SIVPERLIN_CONCEPT_URBG template <std::uniform_random_bit_generator URBG>
+# define SIVPERLIN_CONCEPT_URBG_ template <std::uniform_random_bit_generator URBG>
+# else
+# define SIVPERLIN_CONCEPT_URBG template <class URBG, std::enable_if_t<std::conjunction_v<std::is_invocable<URBG&>, std::is_unsigned<std::invoke_result_t<URBG&>>>>* = nullptr>
+# define SIVPERLIN_CONCEPT_URBG_ template <class URBG, std::enable_if_t<std::conjunction_v<std::is_invocable<URBG&>, std::is_unsigned<std::invoke_result_t<URBG&>>>>*>
+# endif
+
+
+// arbitrary value for increasing entropy
+# ifndef SIVPERLIN_DEFAULT_Y
+# define SIVPERLIN_DEFAULT_Y (0.12345)
+# endif
+
+// arbitrary value for increasing entropy
+# ifndef SIVPERLIN_DEFAULT_Z
+# define SIVPERLIN_DEFAULT_Z (0.34567)
+# endif
+
+
+namespace app
+{
+ template <class Float>
+ class BasicPerlinNoise
+ {
+ public:
+
+ static_assert(std::is_floating_point_v<Float>);
+
+ ///////////////////////////////////////
+ //
+ // Typedefs
+ //
+
+ using state_type = std::array<std::uint8_t, 256>;
+
+ using value_type = Float;
+
+ using default_random_engine = std::mt19937;
+
+ using seed_type = typename default_random_engine::result_type;
+
+ ///////////////////////////////////////
+ //
+ // Constructors
+ //
+
+ SIVPERLIN_NODISCARD_CXX20
+ constexpr BasicPerlinNoise() noexcept;
+
+ SIVPERLIN_NODISCARD_CXX20
+ explicit BasicPerlinNoise(seed_type seed);
+
+ SIVPERLIN_CONCEPT_URBG
+ SIVPERLIN_NODISCARD_CXX20
+ explicit BasicPerlinNoise(URBG&& urbg);
+
+ ///////////////////////////////////////
+ //
+ // Reseed
+ //
+
+ void reseed(seed_type seed);
+
+ SIVPERLIN_CONCEPT_URBG
+ void reseed(URBG&& urbg);
+
+ ///////////////////////////////////////
+ //
+ // Serialization
+ //
+
+ [[nodiscard]]
+ constexpr const state_type& serialize() const noexcept;
+
+ constexpr void deserialize(const state_type& state) noexcept;
+
+ ///////////////////////////////////////
+ //
+ // Noise (The result is in the range [-1, 1])
+ //
+
+ [[nodiscard]]
+ value_type noise1D(value_type x) const noexcept;
+
+ [[nodiscard]]
+ value_type noise2D(value_type x, value_type y) const noexcept;
+
+ [[nodiscard]]
+ value_type noise3D(value_type x, value_type y, value_type z) const noexcept;
+
+ ///////////////////////////////////////
+ //
+ // Noise (The result is remapped to the range [0, 1])
+ //
+
+ [[nodiscard]]
+ value_type noise1D_01(value_type x) const noexcept;
+
+ [[nodiscard]]
+ value_type noise2D_01(value_type x, value_type y) const noexcept;
+
+ [[nodiscard]]
+ value_type noise3D_01(value_type x, value_type y, value_type z) const noexcept;
+
+ ///////////////////////////////////////
+ //
+ // Octave noise (The result can be out of the range [-1, 1])
+ //
+
+ [[nodiscard]]
+ value_type octave1D(value_type x, std::int32_t octaves, value_type persistence = value_type(0.5)) const noexcept;
+
+ [[nodiscard]]
+ value_type octave2D(value_type x, value_type y, std::int32_t octaves, value_type persistence = value_type(0.5)) const noexcept;
+
+ [[nodiscard]]
+ value_type octave3D(value_type x, value_type y, value_type z, std::int32_t octaves, value_type persistence = value_type(0.5)) const noexcept;
+
+ ///////////////////////////////////////
+ //
+ // Octave noise (The result is clamped to the range [-1, 1])
+ //
+
+ [[nodiscard]]
+ value_type octave1D_11(value_type x, std::int32_t octaves, value_type persistence = value_type(0.5)) const noexcept;
+
+ [[nodiscard]]
+ value_type octave2D_11(value_type x, value_type y, std::int32_t octaves, value_type persistence = value_type(0.5)) const noexcept;
+
+ [[nodiscard]]
+ value_type octave3D_11(value_type x, value_type y, value_type z, std::int32_t octaves, value_type persistence = value_type(0.5)) const noexcept;
+
+ ///////////////////////////////////////
+ //
+ // Octave noise (The result is clamped and remapped to the range [0, 1])
+ //
+
+ [[nodiscard]]
+ value_type octave1D_01(value_type x, std::int32_t octaves, value_type persistence = value_type(0.5)) const noexcept;
+
+ [[nodiscard]]
+ value_type octave2D_01(value_type x, value_type y, std::int32_t octaves, value_type persistence = value_type(0.5)) const noexcept;
+
+ [[nodiscard]]
+ value_type octave3D_01(value_type x, value_type y, value_type z, std::int32_t octaves, value_type persistence = value_type(0.5)) const noexcept;
+
+ ///////////////////////////////////////
+ //
+ // Octave noise (The result is normalized to the range [-1, 1])
+ //
+
+ [[nodiscard]]
+ value_type normalizedOctave1D(value_type x, std::int32_t octaves, value_type persistence = value_type(0.5)) const noexcept;
+
+ [[nodiscard]]
+ value_type normalizedOctave2D(value_type x, value_type y, std::int32_t octaves, value_type persistence = value_type(0.5)) const noexcept;
+
+ [[nodiscard]]
+ value_type normalizedOctave3D(value_type x, value_type y, value_type z, std::int32_t octaves, value_type persistence = value_type(0.5)) const noexcept;
+
+ ///////////////////////////////////////
+ //
+ // Octave noise (The result is normalized and remapped to the range [0, 1])
+ //
+
+ [[nodiscard]]
+ value_type normalizedOctave1D_01(value_type x, std::int32_t octaves, value_type persistence = value_type(0.5)) const noexcept;
+
+ [[nodiscard]]
+ value_type normalizedOctave2D_01(value_type x, value_type y, std::int32_t octaves, value_type persistence = value_type(0.5)) const noexcept;
+
+ [[nodiscard]]
+ value_type normalizedOctave3D_01(value_type x, value_type y, value_type z, std::int32_t octaves, value_type persistence = value_type(0.5)) const noexcept;
+
+ private:
+
+ state_type m_permutation;
+ };
+
+ using PerlinNoise = BasicPerlinNoise<double>;
+
+ namespace perlin_detail
+ {
+ ////////////////////////////////////////////////
+ //
+ // These functions are provided for consistency.
+ // You may get different results from std::shuffle() with different standard library implementations.
+ //
+ SIVPERLIN_CONCEPT_URBG
+ [[nodiscard]]
+ inline std::uint64_t Random(const std::uint64_t max, URBG&& urbg)
+ {
+ return (urbg() % (max + 1));
+ }
+
+ template <class RandomIt, class URBG>
+ inline void Shuffle(RandomIt first, RandomIt last, URBG&& urbg)
+ {
+ if (first == last)
+ {
+ return;
+ }
+
+ using difference_type = typename std::iterator_traits<RandomIt>::difference_type;
+
+ for (RandomIt it = first + 1; it < last; ++it)
+ {
+ const std::uint64_t n = static_cast<std::uint64_t>(it - first);
+ std::iter_swap(it, first + static_cast<difference_type>(Random(n, std::forward<URBG>(urbg))));
+ }
+ }
+ //
+ ////////////////////////////////////////////////
+
+ template <class Float>
+ [[nodiscard]]
+ inline constexpr Float Fade(const Float t) noexcept
+ {
+ return t * t * t * (t * (t * 6 - 15) + 10);
+ }
+
+ template <class Float>
+ [[nodiscard]]
+ inline constexpr Float Lerp(const Float a, const Float b, const Float t) noexcept
+ {
+ return (a + (b - a) * t);
+ }
+
+ template <class Float>
+ [[nodiscard]]
+ inline constexpr Float Grad(const std::uint8_t hash, const Float x, const Float y, const Float z) noexcept
+ {
+ const std::uint8_t h = hash & 15;
+ const Float u = h < 8 ? x : y;
+ const Float v = h < 4 ? y : h == 12 || h == 14 ? x : z;
+ return ((h & 1) == 0 ? u : -u) + ((h & 2) == 0 ? v : -v);
+ }
+
+ template <class Float>
+ [[nodiscard]]
+ inline constexpr Float Remap_01(const Float x) noexcept
+ {
+ return (x * Float(0.5) + Float(0.5));
+ }
+
+ template <class Float>
+ [[nodiscard]]
+ inline constexpr Float Clamp_11(const Float x) noexcept
+ {
+ return std::clamp(x, Float(-1.0), Float(1.0));
+ }
+
+ template <class Float>
+ [[nodiscard]]
+ inline constexpr Float RemapClamp_01(const Float x) noexcept
+ {
+ if (x <= Float(-1.0))
+ {
+ return Float(0.0);
+ }
+ else if (Float(1.0) <= x)
+ {
+ return Float(1.0);
+ }
+
+ return (x * Float(0.5) + Float(0.5));
+ }
+
+ template <class Noise, class Float>
+ [[nodiscard]]
+ inline auto Octave1D(const Noise& noise, Float x, const std::int32_t octaves, const Float persistence) noexcept
+ {
+ using value_type = Float;
+ value_type result = 0;
+ value_type amplitude = 1;
+
+ for (std::int32_t i = 0; i < octaves; ++i)
+ {
+ result += (noise.noise1D(x) * amplitude);
+ x *= 2;
+ amplitude *= persistence;
+ }
+
+ return result;
+ }
+
+ template <class Noise, class Float>
+ [[nodiscard]]
+ inline auto Octave2D(const Noise& noise, Float x, Float y, const std::int32_t octaves, const Float persistence) noexcept
+ {
+ using value_type = Float;
+ value_type result = 0;
+ value_type amplitude = 1;
+
+ for (std::int32_t i = 0; i < octaves; ++i)
+ {
+ result += (noise.noise2D(x, y) * amplitude);
+ x *= 2;
+ y *= 2;
+ amplitude *= persistence;
+ }
+
+ return result;
+ }
+
+ template <class Noise, class Float>
+ [[nodiscard]]
+ inline auto Octave3D(const Noise& noise, Float x, Float y, Float z, const std::int32_t octaves, const Float persistence) noexcept
+ {
+ using value_type = Float;
+ value_type result = 0;
+ value_type amplitude = 1;
+
+ for (std::int32_t i = 0; i < octaves; ++i)
+ {
+ result += (noise.noise3D(x, y, z) * amplitude);
+ x *= 2;
+ y *= 2;
+ z *= 2;
+ amplitude *= persistence;
+ }
+
+ return result;
+ }
+
+ template <class Float>
+ [[nodiscard]]
+ inline constexpr Float MaxAmplitude(const std::int32_t octaves, const Float persistence) noexcept
+ {
+ using value_type = Float;
+ value_type result = 0;
+ value_type amplitude = 1;
+
+ for (std::int32_t i = 0; i < octaves; ++i)
+ {
+ result += amplitude;
+ amplitude *= persistence;
+ }
+
+ return result;
+ }
+ }
+
+ ///////////////////////////////////////
+
+ template <class Float>
+ inline constexpr BasicPerlinNoise<Float>::BasicPerlinNoise() noexcept
+ : m_permutation{ 151,160,137,91,90,15,
+ 131,13,201,95,96,53,194,233,7,225,140,36,103,30,69,142,8,99,37,240,21,10,23,
+ 190, 6,148,247,120,234,75,0,26,197,62,94,252,219,203,117,35,11,32,57,177,33,
+ 88,237,149,56,87,174,20,125,136,171,168, 68,175,74,165,71,134,139,48,27,166,
+ 77,146,158,231,83,111,229,122,60,211,133,230,220,105,92,41,55,46,245,40,244,
+ 102,143,54, 65,25,63,161, 1,216,80,73,209,76,132,187,208, 89,18,169,200,196,
+ 135,130,116,188,159,86,164,100,109,198,173,186, 3,64,52,217,226,250,124,123,
+ 5,202,38,147,118,126,255,82,85,212,207,206,59,227,47,16,58,17,182,189,28,42,
+ 223,183,170,213,119,248,152, 2,44,154,163, 70,221,153,101,155,167, 43,172,9,
+ 129,22,39,253, 19,98,108,110,79,113,224,232,178,185, 112,104,218,246,97,228,
+ 251,34,242,193,238,210,144,12,191,179,162,241, 81,51,145,235,249,14,239,107,
+ 49,192,214, 31,181,199,106,157,184, 84,204,176,115,121,50,45,127, 4,150,254,
+ 138,236,205,93,222,114,67,29,24,72,243,141,128,195,78,66,215,61,156,180 } {}
+
+ template <class Float>
+ inline BasicPerlinNoise<Float>::BasicPerlinNoise(const seed_type seed)
+ {
+ reseed(seed);
+ }
+
+ template <class Float>
+ SIVPERLIN_CONCEPT_URBG_
+ inline BasicPerlinNoise<Float>::BasicPerlinNoise(URBG&& urbg)
+ {
+ reseed(std::forward<URBG>(urbg));
+ }
+
+ ///////////////////////////////////////
+
+ template <class Float>
+ inline void BasicPerlinNoise<Float>::reseed(const seed_type seed)
+ {
+ reseed(default_random_engine{ seed });
+ }
+
+ template <class Float>
+ SIVPERLIN_CONCEPT_URBG_
+ inline void BasicPerlinNoise<Float>::reseed(URBG&& urbg)
+ {
+ std::iota(m_permutation.begin(), m_permutation.end(), uint8_t{ 0 });
+
+ perlin_detail::Shuffle(m_permutation.begin(), m_permutation.end(), std::forward<URBG>(urbg));
+ }
+
+ ///////////////////////////////////////
+
+ template <class Float>
+ inline constexpr const typename BasicPerlinNoise<Float>::state_type& BasicPerlinNoise<Float>::serialize() const noexcept
+ {
+ return m_permutation;
+ }
+
+ template <class Float>
+ inline constexpr void BasicPerlinNoise<Float>::deserialize(const state_type& state) noexcept
+ {
+ m_permutation = state;
+ }
+
+ ///////////////////////////////////////
+
+ template <class Float>
+ inline typename BasicPerlinNoise<Float>::value_type BasicPerlinNoise<Float>::noise1D(const value_type x) const noexcept
+ {
+ return noise3D(x,
+ static_cast<value_type>(SIVPERLIN_DEFAULT_Y),
+ static_cast<value_type>(SIVPERLIN_DEFAULT_Z));
+ }
+
+ template <class Float>
+ inline typename BasicPerlinNoise<Float>::value_type BasicPerlinNoise<Float>::noise2D(const value_type x, const value_type y) const noexcept
+ {
+ return noise3D(x,
+ y,
+ static_cast<value_type>(SIVPERLIN_DEFAULT_Z));
+ }
+
+ template <class Float>
+ inline typename BasicPerlinNoise<Float>::value_type BasicPerlinNoise<Float>::noise3D(const value_type x, const value_type y, const value_type z) const noexcept
+ {
+ const value_type _x = std::floor(x);
+ const value_type _y = std::floor(y);
+ const value_type _z = std::floor(z);
+
+ const std::int32_t ix = static_cast<std::int32_t>(_x) & 255;
+ const std::int32_t iy = static_cast<std::int32_t>(_y) & 255;
+ const std::int32_t iz = static_cast<std::int32_t>(_z) & 255;
+
+ const value_type fx = (x - _x);
+ const value_type fy = (y - _y);
+ const value_type fz = (z - _z);
+
+ const value_type u = perlin_detail::Fade(fx);
+ const value_type v = perlin_detail::Fade(fy);
+ const value_type w = perlin_detail::Fade(fz);
+
+ const std::uint8_t A = (m_permutation[ix & 255] + iy) & 255;
+ const std::uint8_t B = (m_permutation[(ix + 1) & 255] + iy) & 255;
+
+ const std::uint8_t AA = (m_permutation[A] + iz) & 255;
+ const std::uint8_t AB = (m_permutation[(A + 1) & 255] + iz) & 255;
+
+ const std::uint8_t BA = (m_permutation[B] + iz) & 255;
+ const std::uint8_t BB = (m_permutation[(B + 1) & 255] + iz) & 255;
+
+ const value_type p0 = perlin_detail::Grad(m_permutation[AA], fx, fy, fz);
+ const value_type p1 = perlin_detail::Grad(m_permutation[BA], fx - 1, fy, fz);
+ const value_type p2 = perlin_detail::Grad(m_permutation[AB], fx, fy - 1, fz);
+ const value_type p3 = perlin_detail::Grad(m_permutation[BB], fx - 1, fy - 1, fz);
+ const value_type p4 = perlin_detail::Grad(m_permutation[(AA + 1) & 255], fx, fy, fz - 1);
+ const value_type p5 = perlin_detail::Grad(m_permutation[(BA + 1) & 255], fx - 1, fy, fz - 1);
+ const value_type p6 = perlin_detail::Grad(m_permutation[(AB + 1) & 255], fx, fy - 1, fz - 1);
+ const value_type p7 = perlin_detail::Grad(m_permutation[(BB + 1) & 255], fx - 1, fy - 1, fz - 1);
+
+ const value_type q0 = perlin_detail::Lerp(p0, p1, u);
+ const value_type q1 = perlin_detail::Lerp(p2, p3, u);
+ const value_type q2 = perlin_detail::Lerp(p4, p5, u);
+ const value_type q3 = perlin_detail::Lerp(p6, p7, u);
+
+ const value_type r0 = perlin_detail::Lerp(q0, q1, v);
+ const value_type r1 = perlin_detail::Lerp(q2, q3, v);
+
+ return perlin_detail::Lerp(r0, r1, w);
+ }
+
+ ///////////////////////////////////////
+
+ template <class Float>
+ inline typename BasicPerlinNoise<Float>::value_type BasicPerlinNoise<Float>::noise1D_01(const value_type x) const noexcept
+ {
+ return perlin_detail::Remap_01(noise1D(x));
+ }
+
+ template <class Float>
+ inline typename BasicPerlinNoise<Float>::value_type BasicPerlinNoise<Float>::noise2D_01(const value_type x, const value_type y) const noexcept
+ {
+ return perlin_detail::Remap_01(noise2D(x, y));
+ }
+
+ template <class Float>
+ inline typename BasicPerlinNoise<Float>::value_type BasicPerlinNoise<Float>::noise3D_01(const value_type x, const value_type y, const value_type z) const noexcept
+ {
+ return perlin_detail::Remap_01(noise3D(x, y, z));
+ }
+
+ ///////////////////////////////////////
+
+ template <class Float>
+ inline typename BasicPerlinNoise<Float>::value_type BasicPerlinNoise<Float>::octave1D(const value_type x, const std::int32_t octaves, const value_type persistence) const noexcept
+ {
+ return perlin_detail::Octave1D(*this, x, octaves, persistence);
+ }
+
+ template <class Float>
+ inline typename BasicPerlinNoise<Float>::value_type BasicPerlinNoise<Float>::octave2D(const value_type x, const value_type y, const std::int32_t octaves, const value_type persistence) const noexcept
+ {
+ return perlin_detail::Octave2D(*this, x, y, octaves, persistence);
+ }
+
+ template <class Float>
+ inline typename BasicPerlinNoise<Float>::value_type BasicPerlinNoise<Float>::octave3D(const value_type x, const value_type y, const value_type z, const std::int32_t octaves, const value_type persistence) const noexcept
+ {
+ return perlin_detail::Octave3D(*this, x, y, z, octaves, persistence);
+ }
+
+ ///////////////////////////////////////
+
+ template <class Float>
+ inline typename BasicPerlinNoise<Float>::value_type BasicPerlinNoise<Float>::octave1D_11(const value_type x, const std::int32_t octaves, const value_type persistence) const noexcept
+ {
+ return perlin_detail::Clamp_11(octave1D(x, octaves, persistence));
+ }
+
+ template <class Float>
+ inline typename BasicPerlinNoise<Float>::value_type BasicPerlinNoise<Float>::octave2D_11(const value_type x, const value_type y, const std::int32_t octaves, const value_type persistence) const noexcept
+ {
+ return perlin_detail::Clamp_11(octave2D(x, y, octaves, persistence));
+ }
+
+ template <class Float>
+ inline typename BasicPerlinNoise<Float>::value_type BasicPerlinNoise<Float>::octave3D_11(const value_type x, const value_type y, const value_type z, const std::int32_t octaves, const value_type persistence) const noexcept
+ {
+ return perlin_detail::Clamp_11(octave3D(x, y, z, octaves, persistence));
+ }
+
+ ///////////////////////////////////////
+
+ template <class Float>
+ inline typename BasicPerlinNoise<Float>::value_type BasicPerlinNoise<Float>::octave1D_01(const value_type x, const std::int32_t octaves, const value_type persistence) const noexcept
+ {
+ return perlin_detail::RemapClamp_01(octave1D(x, octaves, persistence));
+ }
+
+ template <class Float>
+ inline typename BasicPerlinNoise<Float>::value_type BasicPerlinNoise<Float>::octave2D_01(const value_type x, const value_type y, const std::int32_t octaves, const value_type persistence) const noexcept
+ {
+ return perlin_detail::RemapClamp_01(octave2D(x, y, octaves, persistence));
+ }
+
+ template <class Float>
+ inline typename BasicPerlinNoise<Float>::value_type BasicPerlinNoise<Float>::octave3D_01(const value_type x, const value_type y, const value_type z, const std::int32_t octaves, const value_type persistence) const noexcept
+ {
+ return perlin_detail::RemapClamp_01(octave3D(x, y, z, octaves, persistence));
+ }
+
+ ///////////////////////////////////////
+
+ template <class Float>
+ inline typename BasicPerlinNoise<Float>::value_type BasicPerlinNoise<Float>::normalizedOctave1D(const value_type x, const std::int32_t octaves, const value_type persistence) const noexcept
+ {
+ return (octave1D(x, octaves, persistence) / perlin_detail::MaxAmplitude(octaves, persistence));
+ }
+
+ template <class Float>
+ inline typename BasicPerlinNoise<Float>::value_type BasicPerlinNoise<Float>::normalizedOctave2D(const value_type x, const value_type y, const std::int32_t octaves, const value_type persistence) const noexcept
+ {
+ return (octave2D(x, y, octaves, persistence) / perlin_detail::MaxAmplitude(octaves, persistence));
+ }
+
+ template <class Float>
+ inline typename BasicPerlinNoise<Float>::value_type BasicPerlinNoise<Float>::normalizedOctave3D(const value_type x, const value_type y, const value_type z, const std::int32_t octaves, const value_type persistence) const noexcept
+ {
+ return (octave3D(x, y, z, octaves, persistence) / perlin_detail::MaxAmplitude(octaves, persistence));
+ }
+
+ ///////////////////////////////////////
+
+ template <class Float>
+ inline typename BasicPerlinNoise<Float>::value_type BasicPerlinNoise<Float>::normalizedOctave1D_01(const value_type x, const std::int32_t octaves, const value_type persistence) const noexcept
+ {
+ return perlin_detail::Remap_01(normalizedOctave1D(x, octaves, persistence));
+ }
+
+ template <class Float>
+ inline typename BasicPerlinNoise<Float>::value_type BasicPerlinNoise<Float>::normalizedOctave2D_01(const value_type x, const value_type y, const std::int32_t octaves, const value_type persistence) const noexcept
+ {
+ return perlin_detail::Remap_01(normalizedOctave2D(x, y, octaves, persistence));
+ }
+
+ template <class Float>
+ inline typename BasicPerlinNoise<Float>::value_type BasicPerlinNoise<Float>::normalizedOctave3D_01(const value_type x, const value_type y, const value_type z, const std::int32_t octaves, const value_type persistence) const noexcept
+ {
+ return perlin_detail::Remap_01(normalizedOctave3D(x, y, z, octaves, persistence));
+ }
+}
+
+# undef SIVPERLIN_NODISCARD_CXX20
+# undef SIVPERLIN_CONCEPT_URBG
+# undef SIVPERLIN_CONCEPT_URBG_
generated by cgit v1.2.3-freya (git 2.51.0) at 2025-09-22 19:21:56 +0000