diff --git a/CHANGELOG.md b/CHANGELOG.md
index 08c94d130..f4dcf8b1a 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -2,9 +2,9 @@
All notable changes to this project will be documented in this file.
The format is based on [Keep a Changelog](https://keepachangelog.com/en/1.0.0/),
-with the addition of author(s), date of change and optionally the relevant issue.
+with the addition of author(s), date of change and optionally the relevant issue.
-Add new entries a the bottom of the current list in the subheading. Item format:
+Add new entries a the bottom of the current list in the subheading. Item format:
- Description. [Name; date; relevant github issue tag(s) and or pull requests]
This project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0.html).
@@ -12,6 +12,8 @@ This project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0.htm
## [Unreleased]
### Added
+- Added perlin topography models for continental and oceanic plates . \[Tilman May; 2025-03-31; [#922](https://github.com/GeodynamicWorldBuilder/WorldBuilder/pull/922)\]
+
### Changed
### Fixed
@@ -74,7 +76,7 @@ This project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0.htm
- Added a `--resolution-limit` option to gwb-grid to limit the resolution specified in the .grid file. \[Menno Fraters; 2024-02-16; [#653](https://github.com/GeodynamicWorldBuilder/WorldBuilder/pull/653)\]
- Added a `random` composition in the `continental plate` feature that allows the user to specify a random compositional value to a given compositional field. \[Arushi Saxena; Menno Fraters; 2024-02-26; [#651](https://github.com/GeodynamicWorldBuilder/WorldBuilder/pull/651)\]
-### Changed
+### Changed
- Unified the directories `cookbooks/` and `doc/sphinx/user_manual/cookbooks`. All information about cookbooks including the documentation is now bundled in the top-level `cookbooks/` directory. \[Rene Gassmoeller; 2024-02-14; [#558](github.com/GeodynamicWorldBuilder/WorldBuilder/pull/558)\]
- Deleted the deprecated Latex manual. Use the new sphinx documentation instead, which can be build into a .pdf file as well. \[Rene Gassmoeller; 2024-02-14; [#595](https://github.com/GeodynamicWorldBuilder/WorldBuilder/pull/595)\]
- Relocated the code that is used to calculate spreading center quantities like distance from the ridge, and spreading rate. Currently the spreading rate is just a constant value, but this will be changed in a follow up pull request. \[Daniel Douglas; 2024-02-14; [#590](https://github.com/GeodynamicWorldBuilder/WorldBuilder/pull/590)\]
@@ -89,7 +91,7 @@ This project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0.htm
## [0.5.0]
### Added
- The World Builder Visualizer can now compress vtu files with zlib and output in binary through the vtu11 library. ASCII output is still available. \[Menno Fraters; 2021-06-26; [#282](github.com/GeodynamicWorldBuilder/WorldBuilder/pull/282)\]
-- The option to use a half space cooling model for the temperature of an oceanic plate has been added to the oceanic plate feature. \[Magali Billen; 2021-07-15; [#317](github.com/GeodynamicWorldBuilder/WorldBuilder/pull/317)\]
+- The option to use a half space cooling model for the temperature of an oceanic plate has been added to the oceanic plate feature. \[Magali Billen; 2021-07-15; [#317](github.com/GeodynamicWorldBuilder/WorldBuilder/pull/317)\]
- Information about the depth of the reference surface in the PointDistanceFromCurvedPlanes structure. \[Menno Fraters; 2021-07-20; [#320](github.com/GeodynamicWorldBuilder/WorldBuilder/pull/320)\]
- The option for a smooth slab temperature structure that conserves mass with distance along the slab surface. \[Magali Billen; 2021-07-28; [#323](github.com/GeodynamicWorldBuilder/WorldBuilder/pull/323)\]
- The option for a temperature model for an oceanic plate with a constant age using the plate model. \[Haoyuan Li; 2021-10-29; [#344](https://github.com/GeodynamicWorldBuilder/WorldBuilder/pull/344)\]
@@ -136,7 +138,7 @@ This project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0.htm
- The interface of the properties functions of features now takes a reference to the properties vector instead of creating a copy. All internal features have been changed, but all user created features will have to be adjusted as well. \[Rene Gassmoeller; 2023-05-11; [#485](github.com/GeodynamicWorldBuilder/WorldBuilder/pull/485)\]
- The World Builder can now be easily build included in another CMake project by using ADD_SUBDIRECTORY. It now uses `PROJECT_*_DIR` instead of `CMAKE_*_DIR` and if it is build by an external project, the targets will have a `wb_` prefix. \[Menno Fraters; 2023-01-27; [#492](github.com/GeodynamicWorldBuilder/WorldBuilder/pull/492)\]
-### Fixed
+### Fixed
- Using slabs and faults beyond the -180 to 180 range gave issues. These are now fixed and it now works and is tested for the -380 to 380 range. \[Menno Fraters; 2021-10-22; [#338](https://github.com/GeodynamicWorldBuilder/WorldBuilder/issues/338), [#340](https://github.com/GeodynamicWorldBuilder/WorldBuilder/pull/340) and [#342](https://github.com/GeodynamicWorldBuilder/WorldBuilder/pull/342)\]
- The ridge coordinates for the mass conservative slab temperature model where not converted to radians internally. \[Menno Fraters; 2021-10-27; [#352](https://github.com/GeodynamicWorldBuilder/WorldBuilder/issues/352)\]
- Fixed the taper of temperature at the slab tip for the bottom part of the slab, and fixed issue with negative temperatures above slab when there is an existing overririding plate temperature. \[Magali Billen; 2021-11-02; [#353](https:https://github.com/GeodynamicWorldBuilder/WorldBuilder/issues/353)\]
@@ -161,15 +163,15 @@ This project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0.htm
- A large overhoal of the distance_point_from_curved_planes function improving the accuracy in spherical coordinates. This may slightly change the results, but it should be an improvement both in accuracy and performance. Also makes available a coordinate system independent distrance function and some fast trigonometric functions. \[Menno Fraters; 2021-06-11; [#255](github.com/GeodynamicWorldBuilder/WorldBuilder/issues/255)\]
### Fixed
-- Fixed namespaces, adding `WorldBuilder::` where needed. \[Timo Heister; 2020-08-10; [#205](github.com/GeodynamicWorldBuilder/WorldBuilder/issues/205)\]
-- Fixed bug in linear temperature models in several features when using a top/center temperature which computes the background (-1). \[Menno Fraters; 2021-06-22; [#273](github.com/GeodynamicWorldBuilder/WorldBuilder/pull/273)\]
+- Fixed namespaces, adding `WorldBuilder::` where needed. \[Timo Heister; 2020-08-10; [#205](github.com/GeodynamicWorldBuilder/WorldBuilder/issues/205)\]
+- Fixed bug in linear temperature models in several features when using a top/center temperature which computes the background (-1). \[Menno Fraters; 2021-06-22; [#273](github.com/GeodynamicWorldBuilder/WorldBuilder/pull/273)\]
## [0.3.0] - 2020-06-19
### Added
- An experimental grains interface containing grain sizes and orientations has been added. [Menno Fraters;;]
### Changed
- Fortran compiler is now optional [Menno Fraters;;]
-- The world builder no longer requires or uses OpenMP. It was not used in the core library, but used to speed up the Visualization program. That uses its own threads now. [Menno Fraters;;]
+- The world builder no longer requires or uses OpenMP. It was not used in the core library, but used to speed up the Visualization program. That uses its own threads now. [Menno Fraters;;]
- The usage of cmake has been moderized allowing for more flexibility [Menno Fraters;;]
### Fixed
- The code has been refactored and cleaned exstinively and new compiler warnings have been enabled and fixed. [Menno Fraters;;]
diff --git a/include/world_builder/features/continental_plate_models/topography/perlin_noise.h b/include/world_builder/features/continental_plate_models/topography/perlin_noise.h
new file mode 100644
index 000000000..ae34da6b7
--- /dev/null
+++ b/include/world_builder/features/continental_plate_models/topography/perlin_noise.h
@@ -0,0 +1,127 @@
+/*
+ Copyright (C) 2018-2026 by the authors of the World Builder code.
+
+ This file is part of the World Builder.
+
+ This program is free software: you can redistribute it and/or modify
+ it under the terms of the GNU Lesser General Public License as published
+ by the Free Software Foundation, either version 2 of the License, or
+ (at your option) any later version.
+
+ This program is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ GNU Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with this program. If not, see .
+*/
+
+#ifndef WORLD_BUILDER_FEATURES_CONTINENTAL_PLATE_MODELS_TOPOGRAPHY_PERLIN_NOISE_H
+#define WORLD_BUILDER_FEATURES_CONTINENTAL_PLATE_MODELS_TOPOGRAPHY_PERLIN_NOISE_H
+
+#include "world_builder/features/continental_plate_models/topography/interface.h"
+#include "world_builder/features/feature_utilities.h"
+#include "world_builder/objects/surface.h"
+#include
+#include
+
+namespace WorldBuilder
+{
+
+ namespace Features
+ {
+ using namespace FeatureUtilities;
+ namespace ContinentalPlateModels
+ {
+ namespace Topography
+ {
+ /**
+ * Perlin noise based topography model for oceanic plates.
+ *
+ * This model generates topography using layered Perlin noise (octaves).
+ * Parameters exposed to input files are similar to the continental
+ * implementation: min/max depth, min/max topography, frequency,
+ * octaves, persistence, lacunarity and operation.
+ */
+ class PerlinNoise final: public Interface
+ {
+ public:
+ /**
+ * Constructor
+ * @param world pointer to the containing World instance
+ */
+ PerlinNoise(WorldBuilder::World *world);
+ /**
+ * Destructor
+ */
+ ~PerlinNoise() override final;
+
+ /**
+ * Declare parameter entries used by this model to the Parameters system.
+ */
+ static void declare_entries(Parameters &prm, const std::string &parent_name = "");
+ /**
+ * Parse parameter values from the Parameters instance and prepare
+ * any internal state (e.g. permutation table shuffling).
+ */
+ void parse_entries(Parameters &prm, const std::vector> &coordinates) override final;
+
+ /**
+ * Compute the topography at the given position. Respects depth
+ * ranges and combines the generated value with the input topography
+ * according to `operation`.
+ */
+ double get_topography(const Point<3> &position,
+ const Objects::NaturalCoordinate &position_in_natural_coordinates,
+ double topography) const override final;
+
+ private:
+ // parameters
+ double min_depth;
+ Objects::Surface min_depth_surface;
+ double max_depth;
+ Objects::Surface max_depth_surface;
+ double min_topography;
+ double max_topography;
+ double frequency;
+ unsigned int octaves;
+ double persistence;
+ double lacunarity;
+ Operations operation;
+
+ // Perlin noise implementation details
+ using state_type = std::array;
+ state_type p;
+
+ /**
+ * Smoothstep function used by Perlin interpolation.
+ */
+ double fade(double t) const;
+
+ /**
+ * Linear interpolation helper.
+ */
+ double lerp(double t, double a, double b) const;
+
+ /**
+ * Gradient function for Perlin noise.
+ */
+ double grad(int hash, double x, double y, double z) const;
+
+ /**
+ * Base Perlin noise function returning value in [-1,1].
+ */
+ double noise(double x, double y, double z) const;
+
+ /**
+ * Layered (octave) Perlin noise normalized to [-1,1].
+ */
+ double octave_noise(double x, double y, double z, unsigned int octaves_in) const;
+ };
+ } // namespace Topography
+ } // namespace OceanicPlateModels
+ } // namespace Features
+} // namespace WorldBuilder
+
+#endif
diff --git a/include/world_builder/features/oceanic_plate_models/topography/perlin_noise.h b/include/world_builder/features/oceanic_plate_models/topography/perlin_noise.h
new file mode 100644
index 000000000..832c33eca
--- /dev/null
+++ b/include/world_builder/features/oceanic_plate_models/topography/perlin_noise.h
@@ -0,0 +1,129 @@
+/*
+ Copyright (C) 2018-2026 by the authors of the World Builder code.
+
+ This file is part of the World Builder.
+
+ This program is free software: you can redistribute it and/or modify
+ it under the terms of the GNU Lesser General Public License as published
+ by the Free Software Foundation, either version 2 of the License, or
+ (at your option) any later version.
+
+ This program is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ GNU Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with this program. If not, see .
+*/
+
+#ifndef WORLD_BUILDER_FEATURES_OCEANIC_PLATE_MODELS_TOPOGRAPHY_PERLIN_NOISE_H
+#define WORLD_BUILDER_FEATURES_OCEANIC_PLATE_MODELS_TOPOGRAPHY_PERLIN_NOISE_H
+
+#include "world_builder/features/oceanic_plate_models/topography/interface.h"
+#include "world_builder/features/feature_utilities.h"
+#include "world_builder/objects/surface.h"
+#include
+#include
+
+namespace WorldBuilder
+{
+
+ namespace Features
+ {
+ using namespace FeatureUtilities;
+ namespace OceanicPlateModels
+ {
+ namespace Topography
+ {
+ /**
+ * Perlin noise based topography model for oceanic plates.
+ *
+ * This model generates topography using layered Perlin noise (octaves).
+ * Parameters exposed to input files are similar to the continental
+ * implementation: min/max depth, min/max topography, frequency,
+ * octaves, persistence, lacunarity and operation.
+ */
+ class PerlinNoise final: public Interface
+ {
+ public:
+ /**
+ * Constructor
+ * @param world pointer to the containing World instance
+ */
+ PerlinNoise(WorldBuilder::World *world);
+
+ /**
+ * Destructor
+ */
+ ~PerlinNoise() override final;
+
+ /**
+ * Declare parameter entries used by this model to the Parameters system.
+ */
+ static void declare_entries(Parameters &prm, const std::string &parent_name = "");
+
+ /**
+ * Parse parameter values from the Parameters instance and prepare
+ * any internal state (e.g. permutation table shuffling).
+ */
+ void parse_entries(Parameters &prm, const std::vector> &coordinates) override final;
+
+ /**
+ * Compute the topography at the given position. Respects depth
+ * ranges and combines the generated value with the input topography
+ * according to `operation`.
+ */
+ double get_topography(const Point<3> &position,
+ const Objects::NaturalCoordinate &position_in_natural_coordinates,
+ double topography) const override final;
+
+ private:
+ // parameters
+ double min_depth;
+ Objects::Surface min_depth_surface;
+ double max_depth;
+ Objects::Surface max_depth_surface;
+ double min_topography;
+ double max_topography;
+ double frequency;
+ unsigned int octaves;
+ double persistence;
+ double lacunarity;
+ Operations operation;
+
+ // Perlin noise implementation details
+ using state_type = std::array;
+ state_type p;
+
+ /**
+ * Smoothstep function used by Perlin interpolation.
+ */
+ double fade(double t) const;
+
+ /**
+ * Linear interpolation helper.
+ */
+ double lerp(double t, double a, double b) const;
+
+ /**
+ * Gradient function for Perlin noise.
+ */
+ double grad(int hash, double x, double y, double z) const;
+
+ /**
+ * Base Perlin noise function returning value in [-1,1].
+ */
+ double noise(double x, double y, double z) const;
+
+ /**
+ * Layered (octave) Perlin noise normalized to [-1,1].
+ */
+ double octave_noise(double x, double y, double z, unsigned int octaves_in) const;
+ };
+ } // namespace Topography
+ } // namespace OceanicPlateModels
+ } // namespace Features
+} // namespace WorldBuilder
+
+#endif
diff --git a/source/world_builder/features/continental_plate_models/topography/perlin_noise.cc b/source/world_builder/features/continental_plate_models/topography/perlin_noise.cc
new file mode 100644
index 000000000..1ff17402f
--- /dev/null
+++ b/source/world_builder/features/continental_plate_models/topography/perlin_noise.cc
@@ -0,0 +1,246 @@
+/*
+ Copyright (C) 2018-2026 by the authors of the World Builder code.
+
+ This file is part of the World Builder.
+
+ This program is free software: you can redistribute it and/or modify
+ it under the terms of the GNU Lesser General Public License as published
+ by the Free Software Foundation, either version 2 of the License, or
+ (at your option) any later version.
+
+ This program is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ GNU Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with this program. If not, see .
+*/
+
+#include "world_builder/features/continental_plate_models/topography/perlin_noise.h"
+
+#include "world_builder/nan.h"
+#include "world_builder/types/double.h"
+#include "world_builder/types/object.h"
+#include "world_builder/types/array.h"
+#include "world_builder/types/one_of.h"
+#include "world_builder/types/value_at_points.h"
+#include "world_builder/types/unsigned_int.h"
+#include "world_builder/world.h"
+#include
+#include
+#include
+#include
+
+namespace WorldBuilder
+{
+ using namespace Utilities;
+
+ namespace Features
+ {
+ using namespace FeatureUtilities;
+ namespace ContinentalPlateModels
+ {
+ namespace Topography
+ {
+ PerlinNoise::PerlinNoise(WorldBuilder::World *world_)
+ :
+ min_depth(NaN::DSNAN),
+ max_depth(NaN::DSNAN),
+ min_topography(NaN::DSNAN),
+ max_topography(NaN::DSNAN),
+ frequency(NaN::DSNAN),
+ octaves(0),
+ persistence(NaN::DSNAN),
+ lacunarity(NaN::DSNAN),
+ operation(Operations::ADD)
+ {
+ this->world = world_;
+ this->name = "perlin_noise";
+
+ std::iota(p.begin(), p.end(), 0);
+ }
+
+ PerlinNoise::~PerlinNoise() = default;
+
+ void
+ PerlinNoise::declare_entries(Parameters &prm, const std::string &)
+ {
+ // Unlike some topography plugins (e.g. DepthSurface)
+ // this model does not require a single `topography` field; instead
+ // it exposes `min topography` / `max topography` and Perlin settings.
+ prm.declare_entry("", Types::Object(),
+ "Perlin noise topography model. Generates topography values in a range.");
+
+ prm.declare_entry("min depth", Types::OneOf(Types::Double(0), Types::Array(Types::ValueAtPoints(0.,2)), Types::String("")),
+ "The depth in meters from which the topography of this feature is present.");
+
+ prm.declare_entry("max depth", Types::OneOf(Types::Double(std::numeric_limits::max()), Types::Array(Types::ValueAtPoints(std::numeric_limits::max(),2)), Types::String("")),
+ "The depth in meters to which the topography of this feature is present.");
+
+ prm.declare_entry("min topography", Types::Double(-1000.0), "Minimum topography in meters.");
+ prm.declare_entry("max topography", Types::Double(1000.0), "Maximum topography in meters.");
+ prm.declare_entry("frequency", Types::Double(1.0), "Frequency of the Perlin noise.");
+ prm.declare_entry("octaves", Types::UnsignedInt(1), "Number of octaves for the Perlin noise.");
+ prm.declare_entry("persistence", Types::Double(0.5), "Amplitude multiplier between octaves.");
+ prm.declare_entry("lacunarity", Types::Double(2.0), "Frequency multiplier between octaves.");
+ prm.declare_entry("operation", Types::String("add", std::vector {"replace","replace defined only","add","subtract"}),
+ "How to combine the topography with existing values.");
+ }
+
+ void
+ PerlinNoise::parse_entries(Parameters &prm, const std::vector> &coordinates)
+ {
+ // Parse parameter values and prepare internal state. The permutation
+ // table `p` is shuffled deterministically from the world's RNG so
+ // different runs produce different noise realizations when desired.
+ min_depth_surface = Objects::Surface(prm.get("min depth",coordinates));
+ min_depth = min_depth_surface.minimum;
+ max_depth_surface = Objects::Surface(prm.get("max depth",coordinates));
+ max_depth = max_depth_surface.maximum;
+
+ min_topography = prm.get("min topography");
+ max_topography = prm.get("max topography");
+
+ frequency = prm.get("frequency");
+ octaves = prm.get("octaves");
+ persistence = prm.get("persistence");
+ lacunarity = prm.get("lacunarity");
+
+ auto deterministic_bounded_draw = [](std::mt19937 &engine, const unsigned int upper_inclusive) -> unsigned int
+ {
+ const unsigned long long range = static_cast(upper_inclusive) + 1ULL;
+ const unsigned long long limit = (4294967296ULL / range) * range;
+
+ unsigned long long value = 0ULL;
+ do
+ value = static_cast(engine());
+ while (value >= limit);
+
+ return static_cast(value % range);
+ };
+
+ std::mt19937 &engine = world->get_random_number_engine();
+ for (unsigned int i = 255; i > 0; --i)
+ {
+ const unsigned int j = deterministic_bounded_draw(engine, i);
+ std::swap(p[i], p[j]);
+ }
+
+ operation = string_operations_to_enum(prm.get("operation"));
+ }
+
+ double
+ PerlinNoise::get_topography(const Point<3> & /*position_in_cartesian_coordinates*/,
+ const Objects::NaturalCoordinate &position_in_natural_coordinates,
+ double topography) const
+ {
+ // Compute topography contribution at `position` if the point lies
+ // within the model's depth range. The Perlin result is scaled into
+ // [min_topography, max_topography] and combined with the supplied
+ // `topography` according to `operation`.
+ const double depth = position_in_natural_coordinates.get_depth_coordinate();
+ if (depth <= max_depth && depth >= min_depth)
+ {
+ const double min_depth_local = min_depth_surface.constant_value ? min_depth : min_depth_surface.local_value(position_in_natural_coordinates.get_surface_point()).interpolated_value;
+ const double max_depth_local = max_depth_surface.constant_value ? max_depth : max_depth_surface.local_value(position_in_natural_coordinates.get_surface_point()).interpolated_value;
+ if (depth <= max_depth_local && depth >= min_depth_local)
+ {
+ // Use a 2D Perlin field for topography: sample at the surface
+ // x/y coordinates and fixed z = 0.0 so topography does not vary
+ // with depth.
+ const Point<2> surface_point = position_in_natural_coordinates.get_surface_point();
+ const double noise_val = octave_noise(surface_point[0], surface_point[1], 0.0, octaves);
+ const double new_topography = min_topography + (noise_val * 0.5 + 0.5) * (max_topography - min_topography);
+ return apply_operation(operation, topography, new_topography);
+ }
+ }
+
+ return topography;
+ }
+
+ double
+ PerlinNoise::fade(double t) const
+ {
+ return t * t * t * (t * (t * 6 - 15) + 10);
+ }
+
+ double
+ PerlinNoise::lerp(double t, double a, double b) const
+ {
+ return a + t * (b - a);
+ }
+
+ double
+ PerlinNoise::grad(int hash, double x, double y, double z) const
+ {
+ const int h = hash & 15;
+ const double u = h < 8 ? x : y;
+ const double v = h < 4 ? y : h == 12 || h == 14 ? x : z;
+ return ((h & 1) == 0 ? u : -u) + ((h & 2) == 0 ? v : -v);
+ }
+
+ double
+ PerlinNoise::noise(double x, double y, double z) const
+ {
+ const int X = static_cast(std::floor(x)) & 255;
+ const int Y = static_cast(std::floor(y)) & 255;
+ const int Z = static_cast(std::floor(z)) & 255;
+ x -= std::floor(x);
+ y -= std::floor(y);
+ z -= std::floor(z);
+ const double u = fade(x);
+ const double v = fade(y);
+ const double w = fade(z);
+
+ auto perm = [this](const int idx) -> int
+ {
+ return p[idx & 255];
+ };
+
+ const int A = perm(X) + Y;
+ const int AA = perm(A) + Z;
+ const int AB = perm(A + 1) + Z;
+ const int B = perm(X + 1) + Y;
+ const int BA = perm(B) + Z;
+ const int BB = perm(B + 1) + Z;
+
+ return lerp(w, lerp(v, lerp(u, grad(perm(AA), x, y, z),
+ grad(perm(BA), x - 1, y, z)),
+ lerp(u, grad(perm(AB), x, y - 1, z),
+ grad(perm(BB), x - 1, y - 1, z))),
+ lerp(v, lerp(u, grad(perm(AA + 1), x, y, z - 1),
+ grad(perm(BA + 1), x - 1, y, z - 1)),
+ lerp(u, grad(perm(AB + 1), x, y - 1, z - 1),
+ grad(perm(BB + 1), x - 1, y - 1, z - 1))));
+ }
+
+ double
+ PerlinNoise::octave_noise(double x, double y, double z, unsigned int octaves_in) const
+ {
+ if (octaves_in == 0)
+ return 0;
+
+ double total = 0;
+ double frequency_local = frequency;
+ double amplitude = 1;
+ double max_value_local = 0;
+ for (unsigned int i = 0; i < octaves_in; ++i)
+ {
+ total += noise(x * frequency_local, y * frequency_local, z * frequency_local) * amplitude;
+ max_value_local += amplitude;
+ amplitude *= persistence;
+ frequency_local *= lacunarity;
+ }
+
+ if (max_value_local <= 0.0)
+ return 0;
+
+ return total / max_value_local;
+ }
+
+ WB_REGISTER_FEATURE_CONTINENTAL_PLATE_TOPOGRAPHY_MODEL(PerlinNoise, perlin_noise)
+ }
+ }
+ }
+}
diff --git a/source/world_builder/features/oceanic_plate_models/topography/perlin_noise.cc b/source/world_builder/features/oceanic_plate_models/topography/perlin_noise.cc
new file mode 100644
index 000000000..2ccbefc57
--- /dev/null
+++ b/source/world_builder/features/oceanic_plate_models/topography/perlin_noise.cc
@@ -0,0 +1,243 @@
+/*
+ Copyright (C) 2018-2026 by the authors of the World Builder code.
+
+ This file is part of the World Builder.
+
+ This program is free software: you can redistribute it and/or modify
+ it under the terms of the GNU Lesser General Public License as published
+ by the Free Software Foundation, either version 2 of the License, or
+ (at your option) any later version.
+
+ This program is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ GNU Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with this program. If not, see .
+*/
+
+#include "world_builder/features/oceanic_plate_models/topography/perlin_noise.h"
+
+#include "world_builder/nan.h"
+#include "world_builder/types/double.h"
+#include "world_builder/types/object.h"
+#include "world_builder/types/array.h"
+#include "world_builder/types/one_of.h"
+#include "world_builder/types/value_at_points.h"
+#include "world_builder/types/unsigned_int.h"
+#include "world_builder/world.h"
+#include
+#include
+#include
+#include
+
+namespace WorldBuilder
+{
+ using namespace Utilities;
+
+ namespace Features
+ {
+ using namespace FeatureUtilities;
+ namespace OceanicPlateModels
+ {
+ namespace Topography
+ {
+ PerlinNoise::PerlinNoise(WorldBuilder::World *world_)
+ :
+ min_depth(NaN::DSNAN),
+ max_depth(NaN::DSNAN),
+ min_topography(NaN::DSNAN),
+ max_topography(NaN::DSNAN),
+ frequency(NaN::DSNAN),
+ octaves(0),
+ persistence(NaN::DSNAN),
+ lacunarity(NaN::DSNAN),
+ operation(Operations::ADD)
+ {
+ this->world = world_;
+ this->name = "perlin_noise";
+
+ std::iota(p.begin(), p.end(), 0);
+ }
+
+ PerlinNoise::~PerlinNoise() = default;
+
+ void
+ PerlinNoise::declare_entries(Parameters &prm, const std::string &)
+ {
+ // This model exposes min/max topography and Perlin
+ // settings rather than a single `topography` field.
+ prm.declare_entry("", Types::Object(),
+ "Perlin noise topography model for oceanic plates.");
+
+ prm.declare_entry("min depth", Types::OneOf(Types::Double(0),
+ Types::Array(Types::ValueAtPoints(0.,2)),
+ Types::String("")),
+ "The depth in meters from which the model is present.");
+
+ prm.declare_entry("max depth", Types::OneOf(Types::Double(std::numeric_limits::max()),
+ Types::Array(Types::ValueAtPoints(std::numeric_limits::max(),2)),
+ Types::String("")),
+ "The depth in meters to which the model is present.");
+
+ prm.declare_entry("min topography", Types::Double(-1000.0), "Minimum topography in meters.");
+ prm.declare_entry("max topography", Types::Double(1000.0), "Maximum topography in meters.");
+ prm.declare_entry("frequency", Types::Double(1.0), "Frequency of the Perlin noise.");
+ prm.declare_entry("octaves", Types::UnsignedInt(1), "Number of octaves for the Perlin noise.");
+ prm.declare_entry("persistence", Types::Double(0.5), "Amplitude multiplier between octaves.");
+ prm.declare_entry("lacunarity", Types::Double(2.0), "Frequency multiplier between octaves.");
+ prm.declare_entry("operation", Types::String("add", std::vector {"replace","replace defined only","add","subtract"}),
+ "How to combine the topography with existing values.");
+ }
+
+ void
+ PerlinNoise::parse_entries(Parameters &prm, const std::vector> &coordinates)
+ {
+ min_depth_surface = Objects::Surface(prm.get("min depth",coordinates));
+ min_depth = min_depth_surface.minimum;
+ max_depth_surface = Objects::Surface(prm.get("max depth",coordinates));
+ max_depth = max_depth_surface.maximum;
+
+ min_topography = prm.get("min topography");
+ max_topography = prm.get("max topography");
+
+ frequency = prm.get("frequency");
+ octaves = prm.get("octaves");
+ persistence = prm.get("persistence");
+ lacunarity = prm.get("lacunarity");
+
+ auto deterministic_bounded_draw = [](std::mt19937 &engine, const unsigned int upper_inclusive) -> unsigned int
+ {
+ const unsigned long long range = static_cast(upper_inclusive) + 1ULL;
+ const unsigned long long limit = (4294967296ULL / range) * range;
+
+ unsigned long long value = 0ULL;
+ do
+ value = static_cast(engine());
+ while (value >= limit);
+
+ return static_cast(value % range);
+ };
+
+ std::mt19937 &engine = world->get_random_number_engine();
+ for (unsigned int i = 255; i > 0; --i)
+ {
+ const unsigned int j = deterministic_bounded_draw(engine, i);
+ std::swap(p[i], p[j]);
+ }
+
+ operation = string_operations_to_enum(prm.get("operation"));
+ }
+
+ double
+ PerlinNoise::get_topography(const Point<3> &position,
+ const Objects::NaturalCoordinate &position_in_natural_coordinates,
+ double topography) const
+ {
+ (void) position;
+ const double depth = position_in_natural_coordinates.get_depth_coordinate();
+ if (depth <= max_depth && depth >= min_depth)
+ {
+ const double min_depth_local = min_depth_surface.constant_value ? min_depth : min_depth_surface.local_value(position_in_natural_coordinates.get_surface_point()).interpolated_value;
+ const double max_depth_local = max_depth_surface.constant_value ? max_depth : max_depth_surface.local_value(position_in_natural_coordinates.get_surface_point()).interpolated_value;
+ if (depth <= max_depth_local && depth >= min_depth_local)
+ {
+ // Use a 2D Perlin field for topography: sample at the surface
+ // x/y coordinates and fixed z = 0.0 so topography does not vary
+ // with depth.
+ const Point<2> surface_point = position_in_natural_coordinates.get_surface_point();
+ const double noise_val = octave_noise(surface_point[0], surface_point[1], 0.0, octaves);
+ const double new_topography = min_topography + (noise_val * 0.5 + 0.5) * (max_topography - min_topography);
+ return apply_operation(operation, topography, new_topography);
+ }
+ }
+
+ return topography;
+ }
+
+ double
+ PerlinNoise::fade(double t) const
+ {
+ return t * t * t * (t * (t * 6 - 15) + 10);
+ }
+
+ double
+ PerlinNoise::lerp(double t, double a, double b) const
+ {
+ return a + t * (b - a);
+ }
+
+ double
+ PerlinNoise::grad(int hash, double x, double y, double z) const
+ {
+ const int h = hash & 15;
+ const double u = h < 8 ? x : y;
+ const double v = h < 4 ? y : h == 12 || h == 14 ? x : z;
+ return ((h & 1) == 0 ? u : -u) + ((h & 2) == 0 ? v : -v);
+ }
+
+ double
+ PerlinNoise::noise(double x, double y, double z) const
+ {
+ const int X = static_cast(std::floor(x)) & 255;
+ const int Y = static_cast(std::floor(y)) & 255;
+ const int Z = static_cast(std::floor(z)) & 255;
+ x -= std::floor(x);
+ y -= std::floor(y);
+ z -= std::floor(z);
+ const double u = fade(x);
+ const double v = fade(y);
+ const double w = fade(z);
+
+ auto perm = [this](const int idx) -> int
+ {
+ return p[idx & 255];
+ };
+
+ const int A = perm(X) + Y;
+ const int AA = perm(A) + Z;
+ const int AB = perm(A + 1) + Z;
+ const int B = perm(X + 1) + Y;
+ const int BA = perm(B) + Z;
+ const int BB = perm(B + 1) + Z;
+
+ return lerp(w, lerp(v, lerp(u, grad(perm(AA), x, y, z),
+ grad(perm(BA), x - 1, y, z)),
+ lerp(u, grad(perm(AB), x, y - 1, z),
+ grad(perm(BB), x - 1, y - 1, z))),
+ lerp(v, lerp(u, grad(perm(AA + 1), x, y, z - 1),
+ grad(perm(BA + 1), x - 1, y, z - 1)),
+ lerp(u, grad(perm(AB + 1), x, y - 1, z - 1),
+ grad(perm(BB + 1), x - 1, y - 1, z - 1))));
+ }
+
+ double
+ PerlinNoise::octave_noise(double x, double y, double z, unsigned int octaves_in) const
+ {
+ if (octaves_in == 0)
+ return 0;
+
+ double total = 0;
+ double frequency_local = frequency;
+ double amplitude = 1;
+ double max_value_local = 0;
+ for (unsigned int i = 0; i < octaves_in; ++i)
+ {
+ total += noise(x * frequency_local, y * frequency_local, z * frequency_local) * amplitude;
+ max_value_local += amplitude;
+ amplitude *= persistence;
+ frequency_local *= lacunarity;
+ }
+
+ if (max_value_local <= 0.0)
+ return 0;
+
+ return total / max_value_local;
+ }
+
+ WB_REGISTER_FEATURE_OCEANIC_PLATE_TOPOGRAPHY_MODEL(PerlinNoise, perlin_noise)
+ }
+ }
+ }
+}
diff --git a/tests/gwb-grid/cartesian_3d_topography_perlin.grid b/tests/gwb-grid/cartesian_3d_topography_perlin.grid
new file mode 100644
index 000000000..581df78f4
--- /dev/null
+++ b/tests/gwb-grid/cartesian_3d_topography_perlin.grid
@@ -0,0 +1,18 @@
+# output variables
+grid_type = cartesian
+dim = 3
+compositions = 3
+vtu_output_format = ASCII
+
+# domain of the grid
+x_max = 40000
+x_min = 0
+y_max = 15000
+y_min = 0
+z_max = 10000
+z_min = 0
+
+# grid properties
+n_cell_x = 31
+n_cell_y = 15
+n_cell_z = 8
diff --git a/tests/gwb-grid/cartesian_3d_topography_perlin.vtu b/tests/gwb-grid/cartesian_3d_topography_perlin.vtu
new file mode 100644
index 000000000..890320f63
--- /dev/null
+++ b/tests/gwb-grid/cartesian_3d_topography_perlin.vtu
@@ -0,0 +1,54 @@
+
+
+
+
+
+
+10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 14835.9 12981.4 11126.9 9272.42 7417.93 5563.45 3708.97 1854.48 0 14771.5 12925 11078.6 9232.17 7385.74 5539.3 3692.87 1846.43 0 14737.2 12895.1 11052.9 9210.77 7368.61 5526.46 3684.31 1842.15 0 14713.1 12874 11034.8 9195.7 7356.56 5517.42 3678.28 1839.14 0 14600 12775 10950 9125 7300 5475 3650 1825 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 14923.6 13058.1 11192.7 9327.24 7461.79 5596.34 3730.9 1865.45 0 14877.9 13018.2 11158.4 9298.69 7438.95 5579.21 3719.47 1859.74 0 14805.5 12954.9 11104.2 9253.47 7402.77 5552.08 3701.39 1850.69 0 14716.1 12876.6 11037.1 9197.57 7358.06 5518.54 3679.03 1839.51 0 14593 12768.9 10944.8 9120.63 7296.5 5472.38 3648.25 1824.13 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 14997.5 13122.8 11248.1 9373.43 7498.74 5624.06 3749.37 1874.69 0 14868.7 13010.1 11151.5 9292.91 7434.33 5575.75 3717.17 1858.58 0 14734 12892.3 11050.5 9208.75 7367 5525.25 3683.5 1841.75 0 14657.9 12825.7 10993.5 9161.22 7328.97 5496.73 3664.49 1832.24 0 14530.7 12714.4 10898 9081.69 7265.35 5449.01 3632.67 1816.34 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 15119.5 13229.6 11339.6 9449.7 7559.76 5669.82 3779.88 1889.94 0 14922.6 13057.3 11192 9326.65 7461.32 5595.99 3730.66 1865.33 0 14756 12911.5 11067 9222.52 7378.02 5533.51 3689.01 1844.5 0 14651.4 12820 10988.6 9157.16 7325.72 5494.29 3662.86 1831.43 0 14507.6 12694.1 10880.7 9067.25 7253.8 5440.35 3626.9 1813.45 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 15197 13297.4 11397.7 9498.12 7598.49 5698.87 3799.25 1899.62 0 15036 13156.5 11277 9397.52 7518.02 5638.51 3759.01 1879.5 0 14844.3 12988.7 11133.2 9277.66 7422.13 5566.59 3711.06 1855.53 0 14744 12901 11058 9215 7372 5529 3686 1843 0 14629.4 12800.7 10972 9143.34 7314.68 5486.01 3657.34 1828.67 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 15191.8 13292.9 11393.9 9494.9 7595.92 5696.94 3797.96 1898.98 0 15011.2 13134.8 11258.4 9382 7505.6 5629.2 3752.8 1876.4 0 14838.8 12983.9 11129.1 9274.24 7419.39 5564.54 3709.69 1854.85 0 14787 12938.6 11090.2 9241.87 7393.5 5545.12 3696.75 1848.37 0 14730.6 12889.2 11047.9 9206.6 7365.28 5523.96 3682.64 1841.32 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 15093.1 13206.5 11319.9 9433.21 7546.57 5659.93 3773.28 1886.64 0 15021.9 13144.2 11266.4 9388.71 7510.97 5633.22 3755.48 1877.74 0 14899.4 13037 11174.6 9312.15 7449.72 5587.29 3724.86 1862.43 0 14828.6 12975.1 11121.5 9267.89 7414.31 5560.74 3707.16 1853.58 0 14763.8 12918.3 11072.8 9227.37 7381.9 5536.42 3690.95 1845.47 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 14976.5 13104.4 11232.4 9360.3 7488.24 5616.18 3744.12 1872.06 0 14962.1 13091.8 11221.5 9351.28 7481.03 5610.77 3740.51 1870.26 0 14928.1 13062.1 11196.1 9330.06 7464.05 5598.03 3732.02 1866.01 0 14835 12980.6 11126.3 9271.88 7417.5 5563.13 3708.75 1854.38 0 14798.2 12948.4 11098.6 9248.86 7399.09 5549.32 3699.54 1849.77 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 14906 13042.8 11179.5 9316.26 7453.01 5589.76 3726.5 1863.25 0 9000 7875 6750 5625 4500 3375 2250 1125 0 9000 7875 6750 5625 4500 3375 2250 1125 0 9000 7875 6750 5625 4500 3375 2250 1125 0 9000 7875 6750 5625 4500 3375 2250 1125 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 14853.6 12996.9 11140.2 9283.51 7426.8 5570.1 3713.4 1856.7 0 9000 7875 6750 5625 4500 3375 2250 1125 0 9000 7875 6750 5625 4500 3375 2250 1125 0 9000 7875 6750 5625 4500 3375 2250 1125 0 9000 7875 6750 5625 4500 3375 2250 1125 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10896.1 9534.11 8172.09 6810.08 5448.06 4086.05 2724.03 1362.02 0 10926.5 9560.65 8194.84 6829.03 5463.23 4097.42 2731.61 1365.81 0 11057.6 9675.42 8293.22 6911.02 5528.81 4146.61 2764.41 1382.2 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 14794.5 12945.2 11095.8 9246.54 7397.23 5547.92 3698.62 1849.31 0 9000 7875 6750 5625 4500 3375 2250 1125 0 9000 7875 6750 5625 4500 3375 2250 1125 0 9000 7875 6750 5625 4500 3375 2250 1125 0 9000 7875 6750 5625 4500 3375 2250 1125 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10829.5 9475.77 8122.09 6768.41 5414.73 4061.05 2707.36 1353.68 0 10854.6 9497.82 8140.99 6784.16 5427.32 4070.49 2713.66 1356.83 0 10961.2 9591.06 8220.91 6850.76 5480.61 4110.45 2740.3 1370.15 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 14908 13044.5 11181 9317.53 7454.02 5590.52 3727.01 1863.51 0 9000 7875 6750 5625 4500 3375 2250 1125 0 9000 7875 6750 5625 4500 3375 2250 1125 0 9000 7875 6750 5625 4500 3375 2250 1125 0 9000 7875 6750 5625 4500 3375 2250 1125 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10852.6 9496 8139.43 6782.86 5426.29 4069.72 2713.14 1356.57 0 10893.9 9532.17 8170.43 6808.69 5446.95 4085.22 2723.48 1361.74 0 11018.5 9641.2 8263.88 6886.57 5509.25 4131.94 2754.63 1377.31 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 15013.7 13137 11260.3 9383.56 7506.84 5630.13 3753.42 1876.71 0 9000 7875 6750 5625 4500 3375 2250 1125 0 9000 7875 6750 5625 4500 3375 2250 1125 0 9000 7875 6750 5625 4500 3375 2250 1125 0 9000 7875 6750 5625 4500 3375 2250 1125 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10811.6 9460.13 8108.69 6757.24 5405.79 4054.34 2702.9 1351.45 0 10887.3 9526.43 8165.51 6804.59 5443.67 4082.75 2721.84 1360.92 0 10988.6 9615 8241.43 6867.86 5494.29 4120.72 2747.14 1373.57 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 15139.8 13247.3 11354.8 9462.37 7569.9 5677.42 3784.95 1892.47 0 9000 7875 6750 5625 4500 3375 2250 1125 0 9000 7875 6750 5625 4500 3375 2250 1125 0 9000 7875 6750 5625 4500 3375 2250 1125 0 9000 7875 6750 5625 4500 3375 2250 1125 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 15261.7 13354 11446.2 9538.54 7630.83 5723.12 3815.42 1907.71 0 9000 7875 6750 5625 4500 3375 2250 1125 0 9000 7875 6750 5625 4500 3375 2250 1125 0 9000 7875 6750 5625 4500 3375 2250 1125 0 9000 7875 6750 5625 4500 3375 2250 1125 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 15219.8 13317.4 11414.9 9512.4 7609.92 5707.44 3804.96 1902.48 0 9000 7875 6750 5625 4500 3375 2250 1125 0 9000 7875 6750 5625 4500 3375 2250 1125 0 9000 7875 6750 5625 4500 3375 2250 1125 0 9000 7875 6750 5625 4500 3375 2250 1125 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 15041.9 13161.6 11281.4 9401.16 7520.93 5640.7 3760.46 1880.23 0 17000 14875 12750 10625 8500 6375 4250 2125 0 17000 14875 12750 10625 8500 6375 4250 2125 0 17000 14875 12750 10625 8500 6375 4250 2125 0 17000 14875 12750 10625 8500 6375 4250 2125 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 14859.9 13002.4 11144.9 9287.43 7429.95 5572.46 3714.97 1857.49 0 17000 14875 12750 10625 8500 6375 4250 2125 0 17000 14875 12750 10625 8500 6375 4250 2125 0 17000 14875 12750 10625 8500 6375 4250 2125 0 17000 14875 12750 10625 8500 6375 4250 2125 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 14857.6 13000.4 11143.2 9286 7428.8 5571.6 3714.4 1857.2 0 17000 14875 12750 10625 8500 6375 4250 2125 0 17000 14875 12750 10625 8500 6375 4250 2125 0 17000 14875 12750 10625 8500 6375 4250 2125 0 17000 14875 12750 10625 8500 6375 4250 2125 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 14947.5 13079.1 11210.6 9342.19 7473.75 5605.31 3736.88 1868.44 0 17000 14875 12750 10625 8500 6375 4250 2125 0 17000 14875 12750 10625 8500 6375 4250 2125 0 17000 14875 12750 10625 8500 6375 4250 2125 0 17000 14875 12750 10625 8500 6375 4250 2125 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 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3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 15009.2 13133 11256.9 9380.74 7504.59 5628.44 3752.3 1876.15 0 17000 14875 12750 10625 8500 6375 4250 2125 0 17000 14875 12750 10625 8500 6375 4250 2125 0 17000 14875 12750 10625 8500 6375 4250 2125 0 17000 14875 12750 10625 8500 6375 4250 2125 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 15088.4 13202.3 11316.3 9430.22 7544.18 5658.13 3772.09 1886.04 0 17000 14875 12750 10625 8500 6375 4250 2125 0 17000 14875 12750 10625 8500 6375 4250 2125 0 17000 14875 12750 10625 8500 6375 4250 2125 0 17000 14875 12750 10625 8500 6375 4250 2125 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 15088.7 13202.6 11316.5 9430.44 7544.36 5658.27 3772.18 1886.09 0 17000 14875 12750 10625 8500 6375 4250 2125 0 17000 14875 12750 10625 8500 6375 4250 2125 0 17000 14875 12750 10625 8500 6375 4250 2125 0 17000 14875 12750 10625 8500 6375 4250 2125 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 15037.8 13158.1 11278.4 9398.64 7518.91 5639.19 3759.46 1879.73 0 17000 14875 12750 10625 8500 6375 4250 2125 0 17000 14875 12750 10625 8500 6375 4250 2125 0 17000 14875 12750 10625 8500 6375 4250 2125 0 17000 14875 12750 10625 8500 6375 4250 2125 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 15047.4 13166.5 11285.6 9404.64 7523.71 5642.79 3761.86 1880.93 0 15121.4 13231.3 11341.1 9450.9 7560.72 5670.54 3780.36 1890.18 0 15220.3 13317.7 11415.2 9512.68 7610.14 5707.61 3805.07 1902.54 0 15240.5 13335.5 11430.4 9525.34 7620.27 5715.2 3810.14 1905.07 0 15119.7 13229.8 11339.8 9449.83 7559.87 5669.9 3779.93 1889.97 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 10100 8837.5 7575 6312.5 5050 3787.5 2525 1262.5 0 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8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8648.55 7297.1 5945.66 4594.21 3242.76 1891.31 539.866 -811.582 10000 8639.08 7278.16 5917.25 4556.33 3195.41 1834.49 473.572 -887.346 10000 8626.43 7252.86 5879.28 4505.71 3132.14 1758.57 384.996 -988.575 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8107.53 6215.05 4322.58 2430.1 537.627 -1354.85 -3247.32 -5139.8 10000 8875 7750 6625 5500 4375 3250 2125 1000 10000 8875 7750 6625 5500 4375 3250 2125 1000 10000 8875 7750 6625 5500 4375 3250 2125 1000 10000 8875 7750 6625 5500 4375 3250 2125 1000 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 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5750 3625 1500 -625 -2750 -4875 -7000 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8136.4 6272.8 4409.2 2545.6 682.001 -1181.6 -3045.2 -4908.8 10000 7875 5750 3625 1500 -625 -2750 -4875 -7000 10000 7875 5750 3625 1500 -625 -2750 -4875 -7000 10000 7875 5750 3625 1500 -625 -2750 -4875 -7000 10000 7875 5750 3625 1500 -625 -2750 -4875 -7000 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 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4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8113.96 6227.91 4341.87 2455.82 569.776 -1316.27 -3202.31 -5088.36 10000 7875 5750 3625 1500 -625 -2750 -4875 -7000 10000 7875 5750 3625 1500 -625 -2750 -4875 -7000 10000 7875 5750 3625 1500 -625 -2750 -4875 -7000 10000 7875 5750 3625 1500 -625 -2750 -4875 -7000 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8113.91 6227.82 4341.73 2455.64 569.556 -1316.53 -3202.62 -5088.71 10000 7875 5750 3625 1500 -625 -2750 -4875 -7000 10000 7875 5750 3625 1500 -625 -2750 -4875 -7000 10000 7875 5750 3625 1500 -625 -2750 -4875 -7000 10000 7875 5750 3625 1500 -625 -2750 -4875 -7000 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8120.27 6240.54 4360.81 2481.09 601.358 -1278.37 -3158.1 -5037.83 10000 7875 5750 3625 1500 -625 -2750 -4875 -7000 10000 7875 5750 3625 1500 -625 -2750 -4875 -7000 10000 7875 5750 3625 1500 -625 -2750 -4875 -7000 10000 7875 5750 3625 1500 -625 -2750 -4875 -7000 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8737.5 7475 6212.5 4950 3687.5 2425 1162.5 -100 10000 8119.07 6238.14 4357.21 2476.29 595.357 -1285.57 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883.057 793.202 698.865 600.795 499.85 396.969 293.15 1038.12 959.501 875.478 786.54 693.297 596.476 496.9 395.473 293.15 1028.77 950.713 867.469 779.511 687.43 591.929 493.797 393.9 293.15 1019.02 941.575 859.157 772.228 681.36 587.229 490.592 392.276 293.15 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 1053.35 973.845 888.585 798.069 702.936 603.957 502.01 398.065 293.15 1052.92 973.443 888.217 797.745 702.665 603.746 501.866 397.992 293.15 1051.05 971.672 886.596 796.317 701.471 602.818 501.232 397.67 293.15 1092.35 1010.8 922.529 828.057 728.097 623.536 515.408 404.867 293.15 1090.41 1008.95 920.822 826.54 726.82 622.539 514.724 404.519 293.15 1092.13 1010.59 922.329 827.874 727.94 623.411 515.321 404.822 293.15 1032.38 954.106 870.56 782.222 689.692 593.681 494.993 394.506 293.15 1025.46 947.613 864.648 777.037 685.368 590.331 492.708 393.348 293.15 1017.89 940.521 858.2 771.389 680.662 586.688 490.224 392.089 293.15 1009.79 932.95 851.327 765.377 675.658 582.818 487.587 390.754 293.15 1001.29 925.013 844.133 759.092 670.432 578.781 484.837 389.361 293.15 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 1029.12 951.049 867.775 779.779 687.654 592.102 493.915 393.96 293.15 1028.78 950.726 867.481 779.521 687.439 591.936 493.802 393.902 293.15 1027.2 949.246 866.133 778.339 686.454 591.172 493.281 393.638 293.15 1066.07 985.839 899.553 807.721 711.009 610.222 506.288 400.233 293.15 1066.72 986.453 900.114 808.215 711.421 610.541 506.506 400.344 293.15 1067.85 987.52 901.09 809.074 712.14 611.099 506.887 400.536 293.15 1011.36 934.415 852.656 766.539 676.624 583.566 488.096 391.011 293.15 1005.42 928.866 847.623 762.14 672.966 580.738 486.17 390.036 293.15 998.875 922.764 842.096 757.314 668.955 577.64 484.061 388.968 293.15 991.832 916.204 836.162 752.139 664.658 574.323 481.804 387.826 293.15 984.384 909.279 829.906 746.689 660.137 570.835 479.432 386.626 293.15 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 1007.04 930.378 848.994 763.338 673.962 581.508 486.694 390.301 293.15 1006.76 930.117 848.757 763.131 673.79 581.374 486.604 390.256 293.15 1005.42 928.865 847.622 762.14 672.965 580.737 486.17 390.036 293.15 1003.21 926.802 845.753 760.507 671.608 579.689 485.456 389.674 293.15 1000.17 923.968 843.187 758.266 669.746 578.251 484.477 389.179 293.15 996.359 920.419 839.974 755.463 667.418 576.453 483.253 388.559 293.15 991.847 916.219 836.175 752.151 664.668 574.33 481.809 387.829 293.15 986.707 911.439 831.856 748.387 661.545 571.921 480.17 386.999 293.15 981.018 906.153 827.085 744.233 658.101 569.265 478.365 386.086 293.15 974.858 900.438 821.931 739.75 654.387 566.403 476.419 385.102 293.15 968.308 894.368 816.463 734.998 650.453 563.374 474.361 384.062 293.15 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 986.801 911.526 831.935 748.456 661.602 571.965 480.2 387.015 293.15 986.571 911.312 831.741 748.287 661.462 571.857 480.127 386.978 293.15 985.42 910.242 830.776 747.446 660.765 571.319 479.761 386.792 293.15 983.52 908.477 829.181 746.058 659.614 570.432 479.158 386.487 293.15 980.902 906.046 826.988 744.149 658.031 569.211 478.328 386.068 293.15 977.611 902.991 824.233 741.752 656.045 567.681 477.287 385.541 293.15 973.698 899.363 820.962 738.907 653.689 565.865 476.054 384.918 293.15 969.222 895.215 817.226 735.661 651.001 563.796 474.648 384.207 293.15 964.245 890.608 813.079 732.06 648.022 561.502 473.09 383.419 293.15 958.832 885.601 808.577 728.153 644.792 559.017 471.403 382.567 293.15 953.045 880.256 803.775 723.989 641.351 556.37 469.607 381.659 293.15 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 968.171 894.242 816.35 734.9 650.372 563.311 474.319 384.04 293.15 967.981 894.065 816.191 734.762 650.257 563.223 474.259 384.01 293.15 966.985 893.143 815.361 734.041 649.661 562.764 473.947 383.852 293.15 965.338 891.619 813.989 732.849 648.675 562.005 473.432 383.592 293.15 963.065 889.515 812.097 731.207 647.317 560.959 472.722 383.233 293.15 960.199 886.865 809.714 729.139 645.607 559.644 471.829 382.782 293.15 956.782 883.707 806.875 726.677 643.572 558.078 470.766 382.245 293.15 952.86 880.085 803.622 723.857 641.241 556.286 469.55 381.63 293.15 948.482 876.045 799.995 720.714 638.647 554.291 468.197 380.947 293.15 943.7 871.635 796.041 717.29 635.82 552.12 466.724 380.203 293.15 938.566 866.906 791.802 713.623 632.795 549.796 465.149 379.407 293.15 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 950.95 878.322 802.039 722.485 640.109 555.415 468.959 381.332 293.15 950.792 878.176 801.908 722.371 640.015 555.343 468.91 381.307 293.15 949.923 877.374 801.188 721.748 639.5 554.947 468.642 381.171 293.15 948.484 876.047 799.997 720.716 638.648 554.293 468.198 380.947 293.15 946.496 874.213 798.352 719.292 637.472 553.389 467.585 380.637 293.15 943.984 871.898 796.276 717.494 635.988 552.249 466.811 380.247 293.15 940.981 869.131 793.795 715.347 634.217 550.888 465.889 379.781 293.15 937.524 865.947 790.943 712.88 632.182 549.326 464.829 379.246 293.15 933.652 862.384 787.753 710.121 629.908 547.58 463.646 378.649 293.15 929.408 858.481 784.26 707.104 627.421 545.671 462.353 377.996 293.15 924.835 854.278 780.503 703.858 624.748 543.621 460.964 377.295 293.15 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 934.971 863.597 788.839 711.06 630.682 548.174 464.049 378.852 293.15 934.838 863.475 788.729 710.966 630.604 548.114 464.008 378.831 293.15 934.075 862.773 788.101 710.422 630.156 547.77 463.775 378.714 293.15 932.81 861.609 787.06 709.522 629.414 547.201 463.389 378.519 293.15 931.06 859.999 785.619 708.277 628.388 546.413 462.856 378.25 293.15 928.844 857.963 783.797 706.703 627.091 545.418 462.181 377.909 293.15 926.19 855.523 781.615 704.819 625.539 544.227 461.375 377.502 293.15 923.125 852.709 779.1 702.647 623.751 542.856 460.446 377.033 293.15 919.684 849.55 776.278 700.212 621.746 541.319 459.405 376.508 293.15 915.9 846.079 773.178 697.538 619.546 539.632 458.263 375.932 293.15 911.809 842.329 769.832 694.653 617.173 537.814 457.032 375.311 293.15 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 920.092 849.925 776.612 700.5 621.983 541.501 459.528 376.57 293.15 919.981 849.822 776.521 700.422 621.919 541.451 459.494 376.553 293.15 919.306 849.203 775.968 699.944 621.526 541.15 459.291 376.45 293.15 918.187 848.177 775.052 699.154 620.875 540.651 458.953 376.28 293.15 916.637 846.755 773.782 698.058 619.974 539.96 458.485 376.044 293.15 914.672 844.952 772.173 696.671 618.833 539.086 457.893 375.745 293.15 912.312 842.79 770.243 695.007 617.464 538.037 457.183 375.387 293.15 909.583 840.289 768.012 693.084 615.883 536.826 456.363 374.973 293.15 906.509 837.475 765.503 690.923 614.106 535.465 455.442 374.509 293.15 903.121 834.373 762.739 688.543 612.15 533.967 454.429 373.998 293.15 899.448 831.013 759.746 685.966 610.034 532.347 453.333 373.445 293.15 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 906.195 837.186 765.246 690.702 613.924 535.325 455.348 374.461 293.15 906.101 837.101 765.17 690.636 613.87 535.284 455.32 374.447 293.15 905.501 836.552 764.68 690.214 613.524 535.019 455.141 374.357 293.15 904.506 835.641 763.868 689.515 612.949 534.579 454.843 374.207 293.15 903.125 834.377 762.742 688.545 612.152 533.969 454.43 373.998 293.15 901.372 832.773 761.314 687.316 611.142 533.195 453.907 373.735 293.15 899.265 830.846 759.597 685.838 609.928 532.266 453.279 373.418 293.15 896.822 828.612 757.609 684.127 608.523 531.191 452.551 373.051 293.15 894.066 826.094 755.367 682.199 606.94 529.979 451.732 372.638 293.15 891.02 823.311 752.892 680.07 605.193 528.643 450.829 372.182 293.15 887.708 820.289 750.204 677.76 603.298 527.193 449.849 371.688 293.15 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 893.176 825.281 754.644 681.577 606.43 529.589 451.468 372.505 293.15 893.097 825.209 754.58 681.522 606.385 529.554 451.445 372.493 293.15 892.561 824.719 754.144 681.147 606.077 529.319 451.286 372.413 293.15 891.671 823.906 753.421 680.525 605.567 528.929 451.022 372.28 293.15 890.435 822.778 752.417 679.662 604.859 528.387 450.656 372.095 293.15 888.864 821.344 751.142 678.566 603.959 527.699 450.191 371.861 293.15 886.973 819.617 749.608 677.247 602.877 526.872 449.631 371.579 293.15 884.777 817.614 747.827 675.717 601.622 525.912 448.983 371.252 293.15 882.295 815.35 745.815 673.989 600.205 524.829 448.251 370.883 293.15 879.546 812.844 743.589 672.078 598.638 523.631 447.442 370.475 293.15 876.551 810.114 741.166 669.998 596.933 522.328 446.561 370.032 293.15 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 880.948 814.122 744.724 673.052 599.437 524.242 447.854 370.683 293.15 880.881 814.061 744.67 673.006 599.399 524.212 447.834 370.673 293.15 880.4 813.622 744.281 672.671 599.125 524.003 447.693 370.602 293.15 879.6 812.893 743.633 672.116 598.669 523.655 447.458 370.483 293.15 878.489 811.88 742.734 671.343 598.036 523.171 447.131 370.319 293.15 877.075 810.592 741.59 670.362 597.232 522.556 446.715 370.109 293.15 875.371 809.039 740.212 669.179 596.262 521.815 446.215 369.857 293.15 873.389 807.234 738.61 667.804 595.136 520.955 445.634 369.564 293.15 871.145 805.191 736.798 666.249 593.862 519.982 444.977 369.233 293.15 868.655 802.925 734.788 664.526 592.451 518.904 444.249 368.867 293.15 865.937 800.452 732.596 662.646 590.912 517.729 443.456 368.467 293.15 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 869.434 803.634 735.417 665.065 592.893 519.241 444.477 368.981 293.15 869.378 803.583 735.371 665.026 592.861 519.217 444.46 368.973 293.15 868.944 803.188 735.021 664.726 592.615 519.029 444.333 368.909 293.15 868.222 802.531 734.439 664.226 592.206 518.717 444.123 368.803 293.15 867.218 801.618 733.63 663.532 591.638 518.283 443.83 368.655 293.15 865.941 800.456 732.599 662.649 590.914 517.731 443.457 368.468 293.15 864.398 799.053 731.356 661.584 590.042 517.065 443.007 368.241 293.15 862.603 797.42 729.909 660.344 589.027 516.29 442.484 367.978 293.15 860.567 795.57 728.27 658.939 587.878 515.413 441.892 367.679 293.15 858.304 793.513 726.449 657.379 586.601 514.439 441.234 367.348 293.15 855.829 791.265 724.459 655.675 585.207 513.375 440.517 366.987 293.15 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 858.568 793.753 726.661 657.561 586.75 514.552 441.311 367.387 293.15 858.52 793.71 726.623 657.528 586.723 514.532 441.297 367.38 293.15 858.127 793.353 726.307 657.257 586.502 514.363 441.183 367.322 293.15 857.473 792.759 725.781 656.807 586.133 514.082 440.993 367.227 293.15 856.564 791.933 725.049 656.18 585.621 513.69 440.73 367.094 293.15 855.404 790.88 724.117 655.382 584.968 513.192 440.394 366.925 293.15 854.004 789.608 722.992 654.419 584.18 512.591 439.988 366.72 293.15 852.371 788.126 721.68 653.296 583.262 511.891 439.515 366.483 293.15 850.517 786.443 720.192 652.022 582.22 511.096 438.979 366.213 293.15 848.454 784.571 718.536 650.605 581.062 510.213 438.383 365.913 293.15 846.194 782.522 716.724 649.054 579.795 509.247 437.732 365.585 293.15 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 848.291 784.424 718.405 650.493 580.971 510.143 438.336 365.889 293.15 848.251 784.387 718.373 650.466 580.948 510.126 438.325 365.883 293.15 847.894 784.063 718.086 650.22 580.748 509.973 438.222 365.831 293.15 847.299 783.524 717.61 649.812 580.414 509.719 438.05 365.745 293.15 846.471 782.773 716.946 649.245 579.95 509.365 437.811 365.625 293.15 845.416 781.816 716.1 648.521 579.359 508.914 437.507 365.472 293.15 844.139 780.658 715.077 647.646 578.644 508.369 437.14 365.287 293.15 842.65 779.308 713.883 646.625 577.81 507.734 436.711 365.071 293.15 840.957 777.774 712.527 645.466 576.863 507.012 436.224 364.826 293.15 839.07 776.064 711.017 644.175 575.808 506.208 435.682 364.553 293.15 837 774.19 709.361 642.76 574.653 505.327 435.089 364.254 293.15 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 838.553 775.595 710.603 643.821 575.519 505.988 435.534 364.478 293.15 838.519 775.565 710.576 643.798 575.5 505.973 435.524 364.473 293.15 838.193 775.269 710.315 643.575 575.318 505.835 435.431 364.426 293.15 837.65 774.778 709.881 643.204 575.015 505.604 435.275 364.348 293.15 836.895 774.094 709.277 642.688 574.594 505.282 435.058 364.239 293.15 835.931 773.221 708.506 642.029 574.056 504.872 434.782 364.1 293.15 834.764 772.164 707.573 641.232 573.405 504.376 434.448 363.932 293.15 833.401 770.93 706.484 640.301 572.645 503.798 434.058 363.735 293.15 831.85 769.526 705.245 639.243 571.781 503.14 433.614 363.512 293.15 830.119 767.96 703.863 638.063 570.818 502.406 433.119 363.263 293.15 828.219 766.241 702.346 636.767 569.761 501.601 432.577 362.99 293.15 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 829.307 767.226 703.215 637.509 570.366 502.062 432.888 363.147 293.15 829.279 767.2 703.192 637.49 570.35 502.05 432.879 363.142 293.15 828.981 766.93 702.954 637.286 570.185 501.924 432.794 363.1 293.15 828.484 766.481 702.557 636.948 569.908 501.713 432.653 363.028 293.15 827.792 765.855 702.005 636.477 569.524 501.42 432.455 362.929 293.15 826.909 765.056 701.3 635.875 569.033 501.046 432.203 362.802 293.15 825.838 764.088 700.447 635.146 568.438 500.594 431.898 362.649 293.15 824.588 762.957 699.45 634.295 567.744 500.065 431.542 362.469 293.15 823.163 761.669 698.314 633.326 566.953 499.463 431.136 362.265 293.15 821.572 760.231 697.046 632.244 566.071 498.791 430.684 362.038 293.15 819.822 758.65 695.653 631.055 565.101 498.053 430.187 361.788 293.15 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 820.515 759.276 696.205 631.526 565.485 498.346 430.384 361.887 293.15 820.491 759.255 696.186 631.51 565.472 498.336 430.377 361.883 293.15 820.218 759.007 695.968 631.324 565.321 498.22 430.299 361.844 293.15 819.762 758.595 695.605 631.014 565.068 498.028 430.17 361.779 293.15 819.126 758.021 695.098 630.582 564.716 497.76 429.989 361.688 293.15 818.314 757.287 694.452 630.031 564.267 497.418 429.759 361.572 293.15 817.33 756.399 693.669 629.363 563.722 497.004 429.479 361.432 293.15 816.179 755.359 692.753 628.582 563.085 496.519 429.153 361.268 293.15 814.867 754.174 691.709 627.692 562.36 495.967 428.781 361.081 293.15 813.4 752.849 690.543 626.697 561.549 495.35 428.366 360.872 293.15 811.785 751.392 689.259 625.603 560.657 494.672 427.909 360.642 293.15 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 812.14 751.712 689.542 625.844 560.854 494.821 428.01 360.693 293.15 812.12 751.695 689.526 625.831 560.843 494.813 428.004 360.69 293.15 811.868 751.467 689.326 625.66 560.704 494.707 427.933 360.654 293.15 811.449 751.088 688.992 625.376 560.472 494.531 427.814 360.594 293.15 810.863 750.56 688.527 624.979 560.149 494.285 427.649 360.511 293.15 810.115 749.885 687.933 624.473 559.736 493.971 427.437 360.405 293.15 809.208 749.066 687.212 623.858 559.236 493.59 427.181 360.276 293.15 808.146 748.108 686.369 623.14 558.65 493.145 426.881 360.125 293.15 806.934 747.015 685.407 622.32 557.983 492.637 426.539 359.953 293.15 805.578 745.792 684.331 621.404 557.236 492.069 426.157 359.761 293.15 804.084 744.445 683.146 620.394 556.414 491.444 425.736 359.549 293.15 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 804.151 744.505 683.198 620.439 556.45 491.472 425.755 359.559 293.15 804.134 744.49 683.186 620.428 556.441 491.465 425.75 359.556 293.15 803.902 744.281 683.001 620.271 556.313 491.368 425.685 359.523 293.15 803.514 743.931 682.694 620.009 556.1 491.206 425.575 359.468 293.15 802.974 743.444 682.265 619.644 555.803 490.98 425.423 359.392 293.15 802.282 742.821 681.717 619.177 555.423 490.691 425.229 359.294 293.15 801.444 742.065 681.052 618.611 554.962 490.34 424.993 359.176 293.15 800.462 741.18 680.274 617.948 554.422 489.93 424.717 359.037 293.15 799.34 740.169 679.385 617.192 553.806 489.462 424.401 358.878 293.15 798.084 739.037 678.391 616.345 553.117 488.938 424.049 358.701 293.15 796.699 737.79 677.294 615.411 552.357 488.36 423.66 358.505 293.15 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 796.518 737.626 677.15 615.289 552.257 488.284 423.609 358.48 293.15 796.505 737.614 677.14 615.28 552.25 488.279 423.605 358.478 293.15 796.29 737.421 676.969 615.135 552.132 488.189 423.545 358.448 293.15 795.931 737.098 676.685 614.893 551.935 488.04 423.444 358.397 293.15 795.431 736.647 676.289 614.556 551.661 487.831 423.304 358.327 293.15 794.79 736.07 675.783 614.125 551.31 487.564 423.125 358.236 293.15 794.014 735.371 675.168 613.602 550.884 487.241 422.907 358.127 293.15 793.103 734.551 674.448 612.989 550.386 486.862 422.652 357.999 293.15 792.063 733.614 673.625 612.289 549.816 486.429 422.361 357.852 293.15 790.897 732.565 672.703 611.504 549.178 485.944 422.034 357.688 293.15 789.61 731.407 671.686 610.639 548.474 485.409 421.675 357.507 293.15 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500
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diff --git a/tests/gwb-grid/cartesian_3d_topography_perlin.wb b/tests/gwb-grid/cartesian_3d_topography_perlin.wb
new file mode 100644
index 000000000..5fc35e099
--- /dev/null
+++ b/tests/gwb-grid/cartesian_3d_topography_perlin.wb
@@ -0,0 +1,68 @@
+{
+ "version":"1.2",
+ "coordinate system":{"model":"cartesian"},
+ "surface temperature":293.15,
+ "force surface temperature":true,
+ "features":
+ [
+ {"model":"continental plate", "name":"Continent plate A", "coordinates":[[-1e3,10e3],[41e3,10e3],[41e3,15e3],[-1e3,15e3]], "min depth":-1e2,
+ "topography models":[{"model":"uniform","topography":5000},
+ {"model":"perlin_noise",
+ "max depth":660e3,
+ "min topography": -1000.0,
+ "max topography": 1000.0,
+ "frequency": 0.0001,
+ "octaves": 8,
+ "lacunarity": 4,
+ "persistence": 0.2}],
+ "temperature models":[{"model":"uniform", "min depth":-1e2, "max depth":95e3, "temperature":500}],
+ "composition models":[{"model":"uniform", "compositions":[0], "min depth":-1e2}]},
+
+ {"model":"continental plate", "name":"Continent plate B", "coordinates":[[20e3,12e3],[31e3,12e3],[31e3,15e3],[20e3,15e3]], "min depth":-1e2,
+ "topography models":[{"model":"uniform","topography":7000},
+ {"model":"perlin_noise",
+ "max depth":660e3,
+ "min topography": -1000.0,
+ "max topography": 1000.0,
+ "frequency": 0.0001,
+ "octaves": 0,
+ "lacunarity": 4,
+ "persistence": 0.2}],
+ "temperature models":[{"model":"uniform", "min depth":-1e2, "max depth":95e3, "temperature":500}],
+ "composition models":[{"model":"uniform", "compositions":[1], "min depth":-1e2}]},
+
+ {"model":"continental plate", "name":"Continent plate C", "coordinates":[[10e3,12e3],[20e3,12e3],[20e3,15e3],[10e3,15e3]], "min depth":-1e2,
+ "topography models":[{"model":"uniform","topography":-1000}],
+ "temperature models":[{"model":"uniform", "min depth":-1e2, "max depth":95e3, "temperature":500}],
+ "composition models":[{"model":"uniform", "compositions":[2], "min depth":-1e2}]},
+
+ // no topography and everywhere in the continent. Should not change any topography
+ {"model":"continental plate", "name":"Continent plate D", "coordinates":[[-1e3,10e3],[41e3,10e3],[41e3,15e3],[-1e3,15e3]], "min depth":-1e2,
+ "composition models":[{"model":"uniform", "compositions":[3], "min depth":-1e2, "max depth":25e3}]},
+
+ {"model":"oceanic plate", "name":"oceanic plate A", "coordinates":[[-1e3,0],[41e3,0],[41e3,10e3],[-1e3,10e3]], "min depth":-1e2,
+ "temperature models":[{"model":"half space model", "max depth":95e3, "min depth":-1e2, "spreading velocity":0.005, "ridge coordinates":[[[10,0], [10,5]],[[20,5],[20,10]]]}],
+ "topography models":[{"model":"uniform", "topography":100},
+ {"model":"perlin_noise",
+ "max depth":660e3,
+ "min topography": -1000.0,
+ "max topography": 1000.0,
+ "frequency": 0.0001,
+ "octaves": 0,
+ "lacunarity": 4,
+ "persistence": 0.2}],
+ "composition models":[{"model":"uniform", "compositions":[4], "min depth":-1e2}]},
+
+ {"model":"oceanic plate", "name":"oceanic plate B", "coordinates":[[12.5e3,2.5e3],[17.5e3,2.5e3],[17.5e3,5e3],[12.5e3,5e3]], "min depth":-1e2,
+ "topography models":[{"model":"uniform", "topography":1000},
+ {"model":"perlin_noise",
+ "max depth":660e3,
+ "min topography": -1000.0,
+ "max topography": 1000.0,
+ "frequency": 0.0001,
+ "octaves": 8,
+ "lacunarity": 4,
+ "persistence": 0.2}],
+ "composition models":[{"model":"uniform", "compositions":[5], "min depth":-1e2}]}
+ ]
+}