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+/*
+This source is published under the following 3-clause BSD license.
+
+Copyright (c) 2012 - 2013, Lukas Hosek and Alexander Wilkie
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright
+ notice, this list of conditions and the following disclaimer.
+ * Redistributions in binary form must reproduce the above copyright
+ notice, this list of conditions and the following disclaimer in the
+ documentation and/or other materials provided with the distribution.
+ * None of the names of the contributors may be used to endorse or promote
+ products derived from this software without specific prior written
+ permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDERS BE LIABLE FOR ANY
+DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
+ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+/* ============================================================================
+
+This file is part of a sample implementation of the analytical skylight and
+solar radiance models presented in the SIGGRAPH 2012 paper
+
+
+ "An Analytic Model for Full Spectral Sky-Dome Radiance"
+
+and the 2013 IEEE CG&A paper
+
+ "Adding a Solar Radiance Function to the Hosek Skylight Model"
+
+ both by
+
+ Lukas Hosek and Alexander Wilkie
+ Charles University in Prague, Czech Republic
+
+
+ Version: 1.4a, February 22nd, 2013
+
+Version history:
+
+1.4a February 22nd, 2013
+ Removed unnecessary and counter-intuitive solar radius parameters
+ from the interface of the colourspace sky dome initialisation functions.
+
+1.4 February 11th, 2013
+ Fixed a bug which caused the relative brightness of the solar disc
+ and the sky dome to be off by a factor of about 6. The sun was too
+ bright: this affected both normal and alien sun scenarios. The
+ coefficients of the solar radiance function were changed to fix this.
+
+1.3 January 21st, 2013 (not released to the public)
+ Added support for solar discs that are not exactly the same size as
+ the terrestrial sun. Also added support for suns with a different
+ emission spectrum ("Alien World" functionality).
+
+1.2a December 18th, 2012
+ Fixed a mistake and some inaccuracies in the solar radiance function
+ explanations found in ArHosekSkyModel.h. The actual source code is
+ unchanged compared to version 1.2.
+
+1.2 December 17th, 2012
+ Native RGB data and a solar radiance function that matches the turbidity
+ conditions were added.
+
+1.1 September 2012
+ The coefficients of the spectral model are now scaled so that the output
+ is given in physical units: W / (m^-2 * sr * nm). Also, the output of the
+ XYZ model is now no longer scaled to the range [0...1]. Instead, it is
+ the result of a simple conversion from spectral data via the CIE 2 degree
+ standard observer matching functions. Therefore, after multiplication
+ with 683 lm / W, the Y channel now corresponds to luminance in lm.
+
+1.0 May 11th, 2012
+ Initial release.
+
+
+Please visit http://cgg.mff.cuni.cz/projects/SkylightModelling/ to check if
+an updated version of this code has been published!
+
+============================================================================ */
+
+/*
+
+All instructions on how to use this code are in the accompanying header file.
+
+*/
+
+#include "sky_model.h"
+#include "sky_model_data.h"
+
+#include <assert.h>
+#include <math.h>
+#include <stdio.h>
+#include <stdlib.h>
+
+// Some macro definitions that occur elsewhere in ART, and that have to be
+// replicated to make this a stand-alone module.
+
+#ifndef MATH_PI
+# define MATH_PI 3.141592653589793
+#endif
+
+#ifndef MATH_DEG_TO_RAD
+# define MATH_DEG_TO_RAD (MATH_PI / 180.0)
+#endif
+
+#ifndef DEGREES
+# define DEGREES *MATH_DEG_TO_RAD
+#endif
+
+#ifndef TERRESTRIAL_SOLAR_RADIUS
+# define TERRESTRIAL_SOLAR_RADIUS ((0.51 DEGREES) / 2.0)
+#endif
+
+#ifndef ALLOC
+# define ALLOC(_struct) ((_struct *)malloc(sizeof(_struct)))
+#endif
+
+// internal definitions
+
+typedef const double *ArHosekSkyModel_Dataset;
+typedef const double *ArHosekSkyModel_Radiance_Dataset;
+
+// internal functions
+
+static void ArHosekSkyModel_CookConfiguration(ArHosekSkyModel_Dataset dataset,
+ SKY_ArHosekSkyModelConfiguration config,
+ double turbidity,
+ double albedo,
+ double solar_elevation)
+{
+ const double *elev_matrix;
+
+ int int_turbidity = (int)turbidity;
+ double turbidity_rem = turbidity - (double)int_turbidity;
+
+ solar_elevation = pow(solar_elevation / (MATH_PI / 2.0), (1.0 / 3.0));
+
+ // alb 0 low turb
+
+ elev_matrix = dataset + (9 * 6 * (int_turbidity - 1));
+
+ for (unsigned int i = 0; i < 9; ++i) {
+ //(1-t).^3* A1 + 3*(1-t).^2.*t * A2 + 3*(1-t) .* t .^ 2 * A3 + t.^3 * A4;
+ config[i] =
+ (1.0 - albedo) * (1.0 - turbidity_rem) *
+ (pow(1.0 - solar_elevation, 5.0) * elev_matrix[i] +
+ 5.0 * pow(1.0 - solar_elevation, 4.0) * solar_elevation * elev_matrix[i + 9] +
+ 10.0 * pow(1.0 - solar_elevation, 3.0) * pow(solar_elevation, 2.0) * elev_matrix[i + 18] +
+ 10.0 * pow(1.0 - solar_elevation, 2.0) * pow(solar_elevation, 3.0) * elev_matrix[i + 27] +
+ 5.0 * (1.0 - solar_elevation) * pow(solar_elevation, 4.0) * elev_matrix[i + 36] +
+ pow(solar_elevation, 5.0) * elev_matrix[i + 45]);
+ }
+
+ // alb 1 low turb
+ elev_matrix = dataset + (9 * 6 * 10 + 9 * 6 * (int_turbidity - 1));
+ for (unsigned int i = 0; i < 9; ++i) {
+ //(1-t).^3* A1 + 3*(1-t).^2.*t * A2 + 3*(1-t) .* t .^ 2 * A3 + t.^3 * A4;
+ config[i] +=
+ (albedo) * (1.0 - turbidity_rem) *
+ (pow(1.0 - solar_elevation, 5.0) * elev_matrix[i] +
+ 5.0 * pow(1.0 - solar_elevation, 4.0) * solar_elevation * elev_matrix[i + 9] +
+ 10.0 * pow(1.0 - solar_elevation, 3.0) * pow(solar_elevation, 2.0) * elev_matrix[i + 18] +
+ 10.0 * pow(1.0 - solar_elevation, 2.0) * pow(solar_elevation, 3.0) * elev_matrix[i + 27] +
+ 5.0 * (1.0 - solar_elevation) * pow(solar_elevation, 4.0) * elev_matrix[i + 36] +
+ pow(solar_elevation, 5.0) * elev_matrix[i + 45]);
+ }
+
+ if (int_turbidity == 10)
+ return;
+
+ // alb 0 high turb
+ elev_matrix = dataset + (9 * 6 * (int_turbidity));
+ for (unsigned int i = 0; i < 9; ++i) {
+ //(1-t).^3* A1 + 3*(1-t).^2.*t * A2 + 3*(1-t) .* t .^ 2 * A3 + t.^3 * A4;
+ config[i] +=
+ (1.0 - albedo) * (turbidity_rem) *
+ (pow(1.0 - solar_elevation, 5.0) * elev_matrix[i] +
+ 5.0 * pow(1.0 - solar_elevation, 4.0) * solar_elevation * elev_matrix[i + 9] +
+ 10.0 * pow(1.0 - solar_elevation, 3.0) * pow(solar_elevation, 2.0) * elev_matrix[i + 18] +
+ 10.0 * pow(1.0 - solar_elevation, 2.0) * pow(solar_elevation, 3.0) * elev_matrix[i + 27] +
+ 5.0 * (1.0 - solar_elevation) * pow(solar_elevation, 4.0) * elev_matrix[i + 36] +
+ pow(solar_elevation, 5.0) * elev_matrix[i + 45]);
+ }
+
+ // alb 1 high turb
+ elev_matrix = dataset + (9 * 6 * 10 + 9 * 6 * (int_turbidity));
+ for (unsigned int i = 0; i < 9; ++i) {
+ //(1-t).^3* A1 + 3*(1-t).^2.*t * A2 + 3*(1-t) .* t .^ 2 * A3 + t.^3 * A4;
+ config[i] +=
+ (albedo) * (turbidity_rem) *
+ (pow(1.0 - solar_elevation, 5.0) * elev_matrix[i] +
+ 5.0 * pow(1.0 - solar_elevation, 4.0) * solar_elevation * elev_matrix[i + 9] +
+ 10.0 * pow(1.0 - solar_elevation, 3.0) * pow(solar_elevation, 2.0) * elev_matrix[i + 18] +
+ 10.0 * pow(1.0 - solar_elevation, 2.0) * pow(solar_elevation, 3.0) * elev_matrix[i + 27] +
+ 5.0 * (1.0 - solar_elevation) * pow(solar_elevation, 4.0) * elev_matrix[i + 36] +
+ pow(solar_elevation, 5.0) * elev_matrix[i + 45]);
+ }
+}
+
+static double ArHosekSkyModel_CookRadianceConfiguration(ArHosekSkyModel_Radiance_Dataset dataset,
+ double turbidity,
+ double albedo,
+ double solar_elevation)
+{
+ const double *elev_matrix;
+
+ int int_turbidity = (int)turbidity;
+ double turbidity_rem = turbidity - (double)int_turbidity;
+ double res;
+ solar_elevation = pow(solar_elevation / (MATH_PI / 2.0), (1.0 / 3.0));
+
+ // alb 0 low turb
+ elev_matrix = dataset + (6 * (int_turbidity - 1));
+ //(1-t).^3* A1 + 3*(1-t).^2.*t * A2 + 3*(1-t) .* t .^ 2 * A3 + t.^3 * A4;
+ res = (1.0 - albedo) * (1.0 - turbidity_rem) *
+ (pow(1.0 - solar_elevation, 5.0) * elev_matrix[0] +
+ 5.0 * pow(1.0 - solar_elevation, 4.0) * solar_elevation * elev_matrix[1] +
+ 10.0 * pow(1.0 - solar_elevation, 3.0) * pow(solar_elevation, 2.0) * elev_matrix[2] +
+ 10.0 * pow(1.0 - solar_elevation, 2.0) * pow(solar_elevation, 3.0) * elev_matrix[3] +
+ 5.0 * (1.0 - solar_elevation) * pow(solar_elevation, 4.0) * elev_matrix[4] +
+ pow(solar_elevation, 5.0) * elev_matrix[5]);
+
+ // alb 1 low turb
+ elev_matrix = dataset + (6 * 10 + 6 * (int_turbidity - 1));
+ //(1-t).^3* A1 + 3*(1-t).^2.*t * A2 + 3*(1-t) .* t .^ 2 * A3 + t.^3 * A4;
+ res += (albedo) * (1.0 - turbidity_rem) *
+ (pow(1.0 - solar_elevation, 5.0) * elev_matrix[0] +
+ 5.0 * pow(1.0 - solar_elevation, 4.0) * solar_elevation * elev_matrix[1] +
+ 10.0 * pow(1.0 - solar_elevation, 3.0) * pow(solar_elevation, 2.0) * elev_matrix[2] +
+ 10.0 * pow(1.0 - solar_elevation, 2.0) * pow(solar_elevation, 3.0) * elev_matrix[3] +
+ 5.0 * (1.0 - solar_elevation) * pow(solar_elevation, 4.0) * elev_matrix[4] +
+ pow(solar_elevation, 5.0) * elev_matrix[5]);
+ if (int_turbidity == 10)
+ return res;
+
+ // alb 0 high turb
+ elev_matrix = dataset + (6 * (int_turbidity));
+ //(1-t).^3* A1 + 3*(1-t).^2.*t * A2 + 3*(1-t) .* t .^ 2 * A3 + t.^3 * A4;
+ res += (1.0 - albedo) * (turbidity_rem) *
+ (pow(1.0 - solar_elevation, 5.0) * elev_matrix[0] +
+ 5.0 * pow(1.0 - solar_elevation, 4.0) * solar_elevation * elev_matrix[1] +
+ 10.0 * pow(1.0 - solar_elevation, 3.0) * pow(solar_elevation, 2.0) * elev_matrix[2] +
+ 10.0 * pow(1.0 - solar_elevation, 2.0) * pow(solar_elevation, 3.0) * elev_matrix[3] +
+ 5.0 * (1.0 - solar_elevation) * pow(solar_elevation, 4.0) * elev_matrix[4] +
+ pow(solar_elevation, 5.0) * elev_matrix[5]);
+
+ // alb 1 high turb
+ elev_matrix = dataset + (6 * 10 + 6 * (int_turbidity));
+ //(1-t).^3* A1 + 3*(1-t).^2.*t * A2 + 3*(1-t) .* t .^ 2 * A3 + t.^3 * A4;
+ res += (albedo) * (turbidity_rem) *
+ (pow(1.0 - solar_elevation, 5.0) * elev_matrix[0] +
+ 5.0 * pow(1.0 - solar_elevation, 4.0) * solar_elevation * elev_matrix[1] +
+ 10.0 * pow(1.0 - solar_elevation, 3.0) * pow(solar_elevation, 2.0) * elev_matrix[2] +
+ 10.0 * pow(1.0 - solar_elevation, 2.0) * pow(solar_elevation, 3.0) * elev_matrix[3] +
+ 5.0 * (1.0 - solar_elevation) * pow(solar_elevation, 4.0) * elev_matrix[4] +
+ pow(solar_elevation, 5.0) * elev_matrix[5]);
+ return res;
+}
+
+static double ArHosekSkyModel_GetRadianceInternal(SKY_ArHosekSkyModelConfiguration configuration,
+ double theta,
+ double gamma)
+{
+ const double expM = exp(configuration[4] * gamma);
+ const double rayM = cos(gamma) * cos(gamma);
+ const double mieM =
+ (1.0 + cos(gamma) * cos(gamma)) /
+ pow((1.0 + configuration[8] * configuration[8] - 2.0 * configuration[8] * cos(gamma)), 1.5);
+ const double zenith = sqrt(cos(theta));
+
+ return (1.0 + configuration[0] * exp(configuration[1] / (cos(theta) + 0.01))) *
+ (configuration[2] + configuration[3] * expM + configuration[5] * rayM +
+ configuration[6] * mieM + configuration[7] * zenith);
+}
+
+void SKY_arhosekskymodelstate_free(SKY_ArHosekSkyModelState *state)
+{
+ free(state);
+}
+
+double SKY_arhosekskymodel_radiance(SKY_ArHosekSkyModelState *state,
+ double theta,
+ double gamma,
+ double wavelength)
+{
+ int low_wl = (int)((wavelength - 320.0) / 40.0);
+
+ if (low_wl < 0 || low_wl >= 11)
+ return 0.0;
+
+ double interp = fmod((wavelength - 320.0) / 40.0, 1.0);
+
+ double val_low = ArHosekSkyModel_GetRadianceInternal(state->configs[low_wl], theta, gamma) *
+ state->radiances[low_wl] * state->emission_correction_factor_sky[low_wl];
+
+ if (interp < 1e-6)
+ return val_low;
+
+ double result = (1.0 - interp) * val_low;
+
+ if (low_wl + 1 < 11) {
+ result += interp *
+ ArHosekSkyModel_GetRadianceInternal(state->configs[low_wl + 1], theta, gamma) *
+ state->radiances[low_wl + 1] * state->emission_correction_factor_sky[low_wl + 1];
+ }
+
+ return result;
+}
+
+// xyz and rgb versions
+
+SKY_ArHosekSkyModelState *SKY_arhosek_xyz_skymodelstate_alloc_init(const double turbidity,
+ const double albedo,
+ const double elevation)
+{
+ SKY_ArHosekSkyModelState *state = ALLOC(SKY_ArHosekSkyModelState);
+
+ state->solar_radius = TERRESTRIAL_SOLAR_RADIUS;
+ state->turbidity = turbidity;
+ state->albedo = albedo;
+ state->elevation = elevation;
+
+ for (unsigned int channel = 0; channel < 3; ++channel) {
+ ArHosekSkyModel_CookConfiguration(
+ datasetsXYZ[channel], state->configs[channel], turbidity, albedo, elevation);
+
+ state->radiances[channel] = ArHosekSkyModel_CookRadianceConfiguration(
+ datasetsXYZRad[channel], turbidity, albedo, elevation);
+ }
+
+ return state;
+}