diff options
| author | Szymon Ulatowski <szulat> | 2020-07-09 18:19:52 +0300 |
|---|---|---|
| committer | Clément Foucault <foucault.clem@gmail.com> | 2020-07-09 18:31:36 +0300 |
| commit | 9de09220fc5fcae72bba203c641f67e75eb7ebc5 (patch) | |
| tree | 7b637bcc8037e2db7a31b7e9246e0a007bf075b8 /intern/sky | |
| parent | 42c99ec15bfb9fb43127392cc5995ab78246d66e (diff) | |
EEVEE: Implement the missing Sky texture
I'm not sure if the Sky was deliberately left out or was just waiting for a
better moment, but so many I was disappointed that Sky in EEVEE is
completely white.
There are already 2 implementations (osl and gpu) so this is the third one.
Looking at other cases it seems that we are not supposed to share sources
between cycles and the rest? So the new util_sky_model files are just
copies of what is already in cycles, except that the data file uses the RGB
variant of the Hosek/Wilkie model, because we output RGB anyway (but can be
easily changed to XYZ if desired - the results are nearly identical).
I am not sure if it is okay to pass 3*9 float values as 3 mat4 uniforms (I
wanted to use mat3 but it does not work).
Also, should I cache the sky model data between renders if the parameters
do not change?
Reviewed By: fclem, brecht
Differential Revision: https://developer.blender.org/D7108
Diffstat (limited to 'intern/sky')
| -rw-r--r-- | intern/sky/CMakeLists.txt | 35 | ||||
| -rw-r--r-- | intern/sky/include/sky_model.h | 456 | ||||
| -rw-r--r-- | intern/sky/source/sky_float3.h | 157 | ||||
| -rw-r--r-- | intern/sky/source/sky_model.cpp | 345 | ||||
| -rw-r--r-- | intern/sky/source/sky_model_data.h | 3843 | ||||
| -rw-r--r-- | intern/sky/source/sky_nishita.cpp | 367 |
6 files changed, 5203 insertions, 0 deletions
diff --git a/intern/sky/CMakeLists.txt b/intern/sky/CMakeLists.txt new file mode 100644 index 00000000000..d46880367dc --- /dev/null +++ b/intern/sky/CMakeLists.txt @@ -0,0 +1,35 @@ +# ***** BEGIN GPL LICENSE BLOCK ***** +# +# This program is free software; you can redistribute it and/or +# modify it under the terms of the GNU 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 General Public License for more details. +# +# You should have received a copy of the GNU General Public License +# along with this program; if not, write to the Free Software Foundation, +# Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA. +# +# ***** END GPL LICENSE BLOCK ***** + +set(INC + include +) + +set(INC_SYS + +) + +set(SRC + source/sky_model.cpp + source/sky_nishita.cpp +) + +set(LIB +) + +blender_add_lib(bf_intern_sky "${SRC}" "${INC}" "${INC_SYS}" "${LIB}") diff --git a/intern/sky/include/sky_model.h b/intern/sky/include/sky_model.h new file mode 100644 index 00000000000..9e7700f3042 --- /dev/null +++ b/intern/sky/include/sky_model.h @@ -0,0 +1,456 @@ +/* +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! + +============================================================================ */ + +/* + +This code is taken from ART, a rendering research system written in a +mix of C99 / Objective C. Since ART is not a small system and is intended to +be inter-operable with other libraries, and since C does not have namespaces, +the structures and functions in ART all have to have somewhat wordy +canonical names that begin with Ar.../ar..., like those seen in this example. + +Usage information: +================== + + +Model initialisation +-------------------- + +A separate ArHosekSkyModelState has to be maintained for each spectral +band you want to use the model for. So in a renderer with 'num_channels' +bands, you would need something like + + ArHosekSkyModelState * skymodel_state[num_channels]; + +You then have to allocate and initialise these states. In the following code +snippet, we assume that 'albedo' is defined as + + double albedo[num_channels]; + +with a ground albedo value between [0,1] for each channel. The solar elevation +is given in radians. + + for ( unsigned int i = 0; i < num_channels; i++ ) + skymodel_state[i] = + arhosekskymodelstate_alloc_init( + turbidity, + albedo[i], + solarElevation + ); + +Note that starting with version 1.3, there is also a second initialisation +function which generates skydome states for different solar emission spectra +and solar radii: 'arhosekskymodelstate_alienworld_alloc_init()'. + +See the notes about the "Alien World" functionality provided further down for a +discussion of the usefulness and limits of that second initalisation function. +Sky model states that have been initialized with either function behave in a +completely identical fashion during use and cleanup. + +Using the model to generate skydome samples +------------------------------------------- + +Generating a skydome radiance spectrum "skydome_result" for a given location +on the skydome determined via the angles theta and gamma works as follows: + + double skydome_result[num_channels]; + + for ( unsigned int i = 0; i < num_channels; i++ ) + skydome_result[i] = + arhosekskymodel_radiance( + skymodel_state[i], + theta, + gamma, + channel_center[i] + ); + +The variable "channel_center" is assumed to hold the channel center wavelengths +for each of the num_channels samples of the spectrum we are building. + + +Cleanup after use +----------------- + +After rendering is complete, the content of the sky model states should be +disposed of via + + for ( unsigned int i = 0; i < num_channels; i++ ) + arhosekskymodelstate_free( skymodel_state[i] ); + + +CIE XYZ Version of the Model +---------------------------- + +Usage of the CIE XYZ version of the model is exactly the same, except that +num_channels is of course always 3, and that ArHosekTristimSkyModelState and +arhosek_tristim_skymodel_radiance() have to be used instead of their spectral +counterparts. + +RGB Version of the Model +------------------------ + +The RGB version uses sRGB primaries with a linear gamma ramp. The same set of +functions as with the XYZ data is used, except the model is initialized +by calling arhosek_rgb_skymodelstate_alloc_init. + +Solar Radiance Function +----------------------- + +For each position on the solar disc, this function returns the entire radiance +one sees - direct emission, as well as in-scattered light in the area of the +solar disc. The latter is important for low solar elevations - nice images of +the setting sun would not be possible without this. This is also the reason why +this function, just like the regular sky dome model evaluation function, needs +access to the sky dome data structures, as these provide information on +in-scattered radiance. + +CAVEAT #1: in this release, this function is only provided in spectral form! + RGB/XYZ versions to follow at a later date. + +CAVEAT #2: (fixed from release 1.3 onwards) + +CAVEAT #3: limb darkening renders the brightness of the solar disc + inhomogeneous even for high solar elevations - only taking a single + sample at the centre of the sun will yield an incorrect power + estimate for the solar disc! Always take multiple random samples + across the entire solar disc to estimate its power! + +CAVEAT #4: in this version, the limb darkening calculations still use a fairly + computationally expensive 5th order polynomial that was directly + taken from astronomical literature. For the purposes of Computer + Graphics, this is needlessly accurate, though, and will be replaced + by a cheaper approximation in a future release. + +"Alien World" functionality +--------------------------- + +The Hosek sky model can be used to roughly (!) predict the appearance of +outdoor scenes on earth-like planets, i.e. planets of a similar size and +atmospheric make-up. Since the spectral version of our model predicts sky dome +luminance patterns and solar radiance independently for each waveband, and +since the intensity of each waveband is solely dependent on the input radiance +from the star that the world in question is orbiting, it is trivial to re-scale +the wavebands to match a different star radiance. + +At least in theory, the spectral version of the model has always been capable +of this sort of thing, and the actual sky dome and solar radiance models were +actually not altered at all in this release. All we did was to add some support +functionality for doing this more easily with the existing data and functions, +and to add some explanations. + +Just use 'arhosekskymodelstate_alienworld_alloc_init()' to initialise the sky +model states (you will have to provide values for star temperature and solar +intensity compared to the terrestrial sun), and do everything else as you +did before. + +CAVEAT #1: we assume the emission of the star that illuminates the alien world + to be a perfect blackbody emission spectrum. This is never entirely + realistic - real star emission spectra are considerably more complex + than this, mainly due to absorption effects in the outer layers of + stars. However, blackbody spectra are a reasonable first assumption + in a usage scenario like this, where 100% accuracy is simply not + necessary: for rendering purposes, there are likely no visible + differences between a highly accurate solution based on a more + involved simulation, and this approximation. + +CAVEAT #2: we always use limb darkening data from our own sun to provide this + "appearance feature", even for suns of strongly different + temperature. Which is presumably not very realistic, but (as with + the unaltered blackbody spectrum from caveat #1) probably not a bad + first guess, either. If you need more accuracy than we provide here, + please make inquiries with a friendly astro-physicst of your choice. + +CAVEAT #3: you have to provide a value for the solar intensity of the star + which illuminates the alien world. For this, please bear in mind + that there is very likely a comparatively tight range of absolute + solar irradiance values for which an earth-like planet with an + atmosphere like the one we assume in our model can exist in the + first place! + + Too much irradiance, and the atmosphere probably boils off into + space, too little, it freezes. Which means that stars of + considerably different emission colour than our sun will have to be + fairly different in size from it, to still provide a reasonable and + inhabitable amount of irradiance. Red stars will need to be much + larger than our sun, while white or blue stars will have to be + comparatively tiny. The initialisation function handles this and + computes a plausible solar radius for a given emission spectrum. In + terms of absolute radiometric values, you should probably not stray + all too far from a solar intensity value of 1.0. + +CAVEAT #4: although we now support different solar radii for the actual solar + disc, the sky dome luminance patterns are *not* parameterised by + this value - i.e. the patterns stay exactly the same for different + solar radii! Which is of course not correct. But in our experience, + solar discs up to several degrees in diameter (! - our own sun is + half a degree across) do not cause the luminance patterns on the sky + to change perceptibly. The reason we know this is that we initially + used unrealistically large suns in our brute force path tracer, in + order to improve convergence speeds (which in the beginning were + abysmal). Later, we managed to do the reference renderings much + faster even with realistically small suns, and found that there was + no real difference in skydome appearance anyway. + Conclusion: changing the solar radius should not be over-done, so + close orbits around red supergiants are a no-no. But for the + purposes of getting a fairly credible first impression of what an + alien world with a reasonably sized sun would look like, what we are + doing here is probably still o.k. + +HINT #1: if you want to model the sky of an earth-like planet that orbits + a binary star, just super-impose two of these models with solar + intensity of ~0.5 each, and closely spaced solar positions. Light is + additive, after all. Tattooine, here we come... :-) + + P.S. according to Star Wars canon, Tattooine orbits a binary + that is made up of a G and K class star, respectively. + So ~5500K and ~4200K should be good first guesses for their + temperature. Just in case you were wondering, after reading the + previous paragraph. +*/ + +#ifndef __SKY_MODEL_H__ +#define __SKY_MODEL_H__ + +#ifdef __cplusplus +extern "C" { +#endif + +typedef double SKY_ArHosekSkyModelConfiguration[9]; + +// Spectral version of the model + +/* ---------------------------------------------------------------------------- + + ArHosekSkyModelState struct + --------------------------- + + This struct holds the pre-computation data for one particular albedo value. + Most fields are self-explanatory, but users should never directly + manipulate any of them anyway. The only consistent way to manipulate such + structs is via the functions 'arhosekskymodelstate_alloc_init' and + 'arhosekskymodelstate_free'. + + 'emission_correction_factor_sky' + 'emission_correction_factor_sun' + + The original model coefficients were fitted against the emission of + our local sun. If a different solar emission is desired (i.e. if the + model is being used to predict skydome appearance for an earth-like + planet that orbits a different star), these correction factors, which + are determined during the alloc_init step, are applied to each waveband + separately (they default to 1.0 in normal usage). This is the simplest + way to retrofit this sort of capability to the existing model. The + different factors for sky and sun are needed since the solar disc may + be of a different size compared to the terrestrial sun. + +---------------------------------------------------------------------------- */ + +typedef struct SKY_ArHosekSkyModelState { + SKY_ArHosekSkyModelConfiguration configs[11]; + double radiances[11]; + double turbidity; + double solar_radius; + double emission_correction_factor_sky[11]; + double emission_correction_factor_sun[11]; + double albedo; + double elevation; +} SKY_ArHosekSkyModelState; + +/* ---------------------------------------------------------------------------- + + arhosekskymodelstate_alloc_init() function + ------------------------------------------ + + Initialises an ArHosekSkyModelState struct for a terrestrial setting. + +---------------------------------------------------------------------------- */ + +SKY_ArHosekSkyModelState *SKY_arhosekskymodelstate_alloc_init(const double solar_elevation, + const double atmospheric_turbidity, + const double ground_albedo); + +/* ---------------------------------------------------------------------------- + + arhosekskymodelstate_alienworld_alloc_init() function + ----------------------------------------------------- + + Initialises an ArHosekSkyModelState struct for an "alien world" setting + with a sun of a surface temperature given in 'kelvin'. The parameter + 'solar_intensity' controls the overall brightness of the sky, relative + to the solar irradiance on Earth. A value of 1.0 yields a sky dome that + is, on average over the wavelenghts covered in the model (!), as bright + as the terrestrial sky in radiometric terms. + + Which means that the solar radius has to be adjusted, since the + emissivity of a solar surface with a given temperature is more or less + fixed. So hotter suns have to be smaller to be equally bright as the + terrestrial sun, while cooler suns have to be larger. Note that there are + limits to the validity of the luminance patterns of the underlying model: + see the discussion above for more on this. In particular, an alien sun with + a surface temperature of only 2000 Kelvin has to be very large if it is + to be as bright as the terrestrial sun - so large that the luminance + patterns are no longer a really good fit in that case. + + If you need information about the solar radius that the model computes + for a given temperature (say, for light source sampling purposes), you + have to query the 'solar_radius' variable of the sky model state returned + *after* running this function. + +---------------------------------------------------------------------------- */ + +SKY_ArHosekSkyModelState *SKY_arhosekskymodelstate_alienworld_alloc_init( + const double solar_elevation, + const double solar_intensity, + const double solar_surface_temperature_kelvin, + const double atmospheric_turbidity, + const double ground_albedo); + +void SKY_arhosekskymodelstate_free(SKY_ArHosekSkyModelState *state); + +double SKY_arhosekskymodel_radiance(SKY_ArHosekSkyModelState *state, + double theta, + double gamma, + double wavelength); + +// CIE XYZ and RGB versions + +SKY_ArHosekSkyModelState *SKY_arhosek_xyz_skymodelstate_alloc_init(const double turbidity, + const double albedo, + const double elevation); + +SKY_ArHosekSkyModelState *SKY_arhosek_rgb_skymodelstate_alloc_init(const double turbidity, + const double albedo, + const double elevation); + +double SKY_arhosek_tristim_skymodel_radiance(SKY_ArHosekSkyModelState *state, + double theta, + double gamma, + int channel); + +// Delivers the complete function: sky + sun, including limb darkening. +// Please read the above description before using this - there are several +// caveats! + +double SKY_arhosekskymodel_solar_radiance(SKY_ArHosekSkyModelState *state, + double theta, + double gamma, + double wavelength); + + +/* Nishita improved sky model */ + +void SKY_nishita_skymodel_precompute_texture(float *pixels, + int stride, + int start_y, + int end_y, + int width, + int height, + float sun_elevation, + float altitude, + float air_density, + float dust_density, + float ozone_density); + +void SKY_nishita_skymodel_precompute_sun(float sun_elevation, + float angular_diameter, + float altitude, + float air_density, + float dust_density, + float *pixel_bottom, + float *pixel_top); + +#ifdef __cplusplus +} +#endif + +#endif // __SKY_MODEL_H__ diff --git a/intern/sky/source/sky_float3.h b/intern/sky/source/sky_float3.h new file mode 100644 index 00000000000..2a9b9c89623 --- /dev/null +++ b/intern/sky/source/sky_float3.h @@ -0,0 +1,157 @@ +/* + * This program is free software; you can redistribute it and/or + * modify it under the terms of the GNU 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 General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program; if not, write to the Free Software Foundation, + * Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA. + */ + +#ifndef __SKY_FLOAT3_H__ +#define __SKY_FLOAT3_H__ + +// minimal float3 + util_math.h implementation for nishita sky model + +#include <math.h> + +#ifndef M_PI_F +# define M_PI_F (3.1415926535897932f) /* pi */ +#endif +#ifndef M_PI_2_F +# define M_PI_2_F (1.5707963267948966f) /* pi/2 */ +#endif +#ifndef M_2PI_F +# define M_2PI_F (6.2831853071795864f) /* 2*pi */ +#endif + +struct float3 { + float x, y, z; + + float3() = default; + + float3(const float *ptr) : x{ptr[0]}, y{ptr[1]}, z{ptr[2]} + { + } + + float3(const float (*ptr)[3]) : float3((const float *)ptr) + { + } + + explicit float3(float value) : x(value), y(value), z(value) + { + } + + explicit float3(int value) : x(value), y(value), z(value) + { + } + + float3(float x, float y, float z) : x{x}, y{y}, z{z} + { + } + + operator const float *() const + { + return &x; + } + + operator float *() + { + return &x; + } + + friend float3 operator*(const float3 &a, float b) + { + return {a.x * b, a.y * b, a.z * b}; + } + + friend float3 operator*(float b, const float3 &a) + { + return {a.x * b, a.y * b, a.z * b}; + } + + friend float3 operator-(const float3 &a, const float3 &b) + { + return {a.x - b.x, a.y - b.y, a.z - b.z}; + } + + friend float3 operator-(const float3 &a) + { + return {-a.x, -a.y, -a.z}; + } + + float length_squared() const + { + return x * x + y * y + z * z; + } + + float length() const + { + return sqrt(length_squared()); + } + + static float distance(const float3 &a, const float3 &b) + { + return (a - b).length(); + } + + friend float3 operator+(const float3 &a, const float3 &b) + { + return {a.x + b.x, a.y + b.y, a.z + b.z}; + } + + void operator+=(const float3 &b) + { + this->x += b.x; + this->y += b.y; + this->z += b.z; + } + + friend float3 operator*(const float3 &a, const float3 &b) + { + return {a.x * b.x, a.y * b.y, a.z * b.z}; + } +}; + +inline float sqr(float a) +{ + return a * a; +} + +inline float3 make_float3(float x, float y, float z) +{ + return float3(x, y, z); +} + +inline float dot(const float3 &a, const float3 &b) +{ + return a.x * b.x + a.y * b.y + a.z * b.z; +} + +inline float distance(const float3 &a, const float3 &b) +{ + return float3::distance(a, b); +} + +inline float len_squared(float3 f) +{ + return f.length_squared(); +} + +inline float len(float3 f) +{ + return f.length(); +} + +inline float reduce_add(float3 f) +{ + return f.x + f.y + f.z; +} + +#endif /* __SKY_FLOAT3_H__ */ diff --git a/intern/sky/source/sky_model.cpp b/intern/sky/source/sky_model.cpp new file mode 100644 index 00000000000..3eca68e076c --- /dev/null +++ b/intern/sky/source/sky_model.cpp @@ -0,0 +1,345 @@ +/* +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; +} diff --git a/intern/sky/source/sky_model_data.h b/intern/sky/source/sky_model_data.h new file mode 100644 index 00000000000..8d98f84cdae --- /dev/null +++ b/intern/sky/source/sky_model_data.h @@ -0,0 +1,3843 @@ +/* +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! + +============================================================================ */ + +/* + +This file contains the coefficient data for the XYZ colour space version of +the model. + +*/ + +// Uses Sep 9 pattern / Aug 23 mean dataset + +static const double datasetXYZ1[] = { + // albedo 0, turbidity 1 + -1.117001e+000, + -1.867262e-001, + -1.113505e+001, + 1.259865e+001, + -3.937339e-002, + 1.167571e+000, + 7.100686e-003, + 3.592678e+000, + 6.083296e-001, + -1.152006e+000, + -1.926669e-001, + 6.152049e+000, + -4.770802e+000, + -8.704701e-002, + 7.483626e-001, + 3.372718e-002, + 4.464592e+000, + 4.036546e-001, + -1.072371e+000, + -2.696632e-001, + 2.816168e-001, + 1.820571e+000, + -3.742666e-001, + 2.080607e+000, + -7.675295e-002, + -2.835366e+000, + 1.129329e+000, + -1.109935e+000, + -1.532764e-001, + 1.198787e+000, + -9.015183e-001, + 5.173015e-003, + 5.749178e-001, + 1.075633e-001, + 4.387949e+000, + 2.650413e-001, + -1.052297e+000, + -2.229452e-001, + 1.952347e+000, + 5.727205e-001, + -4.885070e+000, + 1.984016e+000, + -1.106197e-001, + -4.898361e-001, + 8.907873e-001, + -1.070108e+000, + -1.600465e-001, + 1.593886e+000, + -4.479251e-005, + -3.306541e+000, + 9.390193e-001, + 9.513168e-002, + 2.343583e+000, + 5.335404e-001, + // albedo 0, turbidity 2 + -1.113253e+000, + -1.699600e-001, + -1.038822e+001, + 1.137513e+001, + -4.040911e-002, + 1.037455e+000, + 4.991792e-002, + 4.801919e+000, + 6.302710e-001, + -1.135747e+000, + -1.678594e-001, + 4.970755e+000, + -4.430230e+000, + -6.657408e-002, + 3.636161e-001, + 1.558009e-001, + 6.013370e+000, + 3.959601e-001, + -1.095892e+000, + -2.732595e-001, + 7.666496e-001, + 1.350731e+000, + -4.401401e-001, + 2.470135e+000, + -1.707929e-001, + -3.260793e+000, + 1.170337e+000, + -1.073668e+000, + -2.603929e-002, + -1.944589e-001, + 4.575207e-001, + 6.878164e-001, + -1.390770e-001, + 3.690299e-001, + 7.885781e+000, + 1.877694e-001, + -1.070091e+000, + -2.798957e-001, + 2.338478e+000, + -2.647221e+000, + -7.387808e+000, + 2.329210e+000, + -1.644639e-001, + -2.003710e+000, + 9.874527e-001, + -1.067120e+000, + -1.418866e-001, + 1.254090e+000, + 6.053048e+000, + -2.918892e+000, + 5.322812e-001, + 1.613053e-001, + 3.018161e+000, + 5.274090e-001, + // albedo 0, turbidity 3 + -1.129483e+000, + -1.890619e-001, + -9.065101e+000, + 9.659923e+000, + -3.607819e-002, + 8.314359e-001, + 8.181661e-002, + 4.768868e+000, + 6.339777e-001, + -1.146420e+000, + -1.883579e-001, + 3.309173e+000, + -3.127882e+000, + -6.938176e-002, + 3.987113e-001, + 1.400581e-001, + 6.283042e+000, + 5.267076e-001, + -1.128348e+000, + -2.641305e-001, + 1.223176e+000, + 5.514952e-002, + -3.490649e-001, + 1.997784e+000, + -4.123709e-002, + -2.251251e+000, + 9.483466e-001, + -1.025820e+000, + 1.404690e-002, + -1.187406e+000, + 2.729900e+000, + 5.877588e-001, + -2.761140e-001, + 4.602633e-001, + 8.305125e+000, + 3.945001e-001, + -1.083957e+000, + -2.606679e-001, + 2.207108e+000, + -7.202803e+000, + -5.968103e+000, + 2.129455e+000, + -7.789512e-002, + -1.137688e+000, + 8.871769e-001, + -1.062465e+000, + -1.512189e-001, + 1.042881e+000, + 1.427839e+001, + -4.242214e+000, + 4.038100e-001, + 1.997780e-001, + 2.814449e+000, + 5.803196e-001, + // albedo 0, turbidity 4 + -1.175099e+000, + -2.410789e-001, + -1.108587e+001, + 1.133404e+001, + -1.819300e-002, + 6.772942e-001, + 9.605043e-002, + 4.231166e+000, + 6.239972e-001, + -1.224207e+000, + -2.883527e-001, + 3.002206e+000, + -2.649612e+000, + -4.795418e-002, + 4.984398e-001, + 3.251434e-002, + 4.851611e+000, + 6.551019e-001, + -1.136955e+000, + -2.423048e-001, + 1.058823e+000, + -2.489236e-001, + -2.462179e-001, + 1.933140e+000, + 9.106828e-002, + -1.905869e-001, + 8.171065e-001, + -1.014535e+000, + -8.262500e-003, + -1.448017e+000, + 2.295788e+000, + 3.510334e-001, + -1.477418e+000, + 5.432449e-001, + 5.762796e+000, + 4.908751e-001, + -1.070666e+000, + -2.379780e-001, + 1.844589e+000, + -5.442448e+000, + -4.012768e+000, + 2.945275e+000, + 9.854725e-003, + 8.455959e-002, + 8.145030e-001, + -1.071525e+000, + -1.777132e-001, + 8.076590e-001, + 9.925865e+000, + -3.324623e+000, + -6.367437e-001, + 2.844581e-001, + 2.248384e+000, + 6.544022e-001, + // albedo 0, turbidity 5 + -1.218818e+000, + -2.952382e-001, + -1.345975e+001, + 1.347153e+001, + -6.814585e-003, + 5.079068e-001, + 1.197230e-001, + 3.776949e+000, + 5.836961e-001, + -1.409868e+000, + -5.114330e-001, + 2.776539e+000, + -2.039001e+000, + -2.673769e-002, + 4.145288e-001, + 7.829342e-004, + 2.275883e+000, + 6.629691e-001, + -1.069151e+000, + -9.434247e-002, + 7.293972e-001, + -1.222473e+000, + -1.533461e-001, + 2.160357e+000, + 4.626837e-002, + 3.852415e+000, + 8.593570e-001, + -1.021306e+000, + -1.149551e-001, + -1.108414e+000, + 4.178343e+000, + 4.013665e-001, + -2.222814e+000, + 6.929462e-001, + 1.392652e+000, + 4.401662e-001, + -1.074251e+000, + -2.224002e-001, + 1.372356e+000, + -8.858704e+000, + -3.922660e+000, + 3.020018e+000, + -1.458724e-002, + 1.511186e+000, + 8.288064e-001, + -1.062048e+000, + -1.526582e-001, + 4.921067e-001, + 1.485522e+001, + -3.229936e+000, + -8.426604e-001, + 3.916243e-001, + 2.678994e+000, + 6.689264e-001, + // albedo 0, turbidity 6 + -1.257023e+000, + -3.364700e-001, + -1.527795e+001, + 1.504223e+001, + 2.717715e-003, + 3.029910e-001, + 1.636851e-001, + 3.561663e+000, + 5.283161e-001, + -1.635124e+000, + -7.329993e-001, + 3.523939e+000, + -2.566337e+000, + -1.902543e-002, + 5.505483e-001, + -6.242176e-002, + 1.065992e+000, + 6.654236e-001, + -9.295823e-001, + 4.845834e-002, + -2.992990e-001, + -2.001327e-001, + -8.019339e-002, + 1.807806e+000, + 9.020277e-002, + 5.095372e+000, + 8.639936e-001, + -1.093740e+000, + -2.148608e-001, + -5.216240e-001, + 2.119777e+000, + 9.506454e-002, + -1.831439e+000, + 6.961204e-001, + 1.102084e-001, + 4.384319e-001, + -1.044181e+000, + -1.849257e-001, + 9.071246e-001, + -4.648901e+000, + -2.279385e+000, + 2.356502e+000, + -4.169147e-002, + 1.932557e+000, + 8.296550e-001, + -1.061451e+000, + -1.458745e-001, + 2.952267e-001, + 8.967214e+000, + -3.726228e+000, + -5.022316e-001, + 5.684877e-001, + 3.102347e+000, + 6.658443e-001, + // albedo 0, turbidity 7 + -1.332391e+000, + -4.127769e-001, + -9.328643e+000, + 9.046194e+000, + 3.457775e-003, + 3.377425e-001, + 1.530909e-001, + 3.301209e+000, + 4.997917e-001, + -1.932002e+000, + -9.947777e-001, + -2.042329e+000, + 3.586940e+000, + -5.642182e-002, + 8.130478e-001, + -8.195988e-002, + 1.118294e-001, + 5.617231e-001, + -8.707374e-001, + 1.286999e-001, + 1.820054e+000, + -4.674706e+000, + 3.317471e-003, + 5.919018e-001, + 1.975278e-001, + 6.686519e+000, + 9.631727e-001, + -1.070378e+000, + -3.030579e-001, + -9.041938e-001, + 6.200201e+000, + 1.232207e-001, + -3.650628e-001, + 5.029403e-001, + -2.903162e+000, + 3.811408e-001, + -1.063035e+000, + -1.637545e-001, + 5.853072e-001, + -7.889906e+000, + -1.200641e+000, + 1.035018e+000, + 1.192093e-001, + 3.267054e+000, + 8.416151e-001, + -1.053655e+000, + -1.562286e-001, + 2.423683e-001, + 1.128575e+001, + -4.363262e+000, + -7.314160e-002, + 5.642088e-001, + 2.514023e+000, + 6.670457e-001, + // albedo 0, turbidity 8 + -1.366112e+000, + -4.718287e-001, + -7.876222e+000, + 7.746900e+000, + -9.182309e-003, + 4.716076e-001, + 8.320252e-002, + 3.165603e+000, + 5.392334e-001, + -2.468204e+000, + -1.336340e+000, + -5.386723e+000, + 7.072672e+000, + -8.329266e-002, + 8.636876e-001, + -1.978177e-002, + -1.326218e-001, + 2.979222e-001, + -9.653522e-001, + -2.373416e-002, + 1.810250e+000, + -6.467262e+000, + 1.410706e-001, + -4.753717e-001, + 3.003095e-001, + 6.551163e+000, + 1.151083e+000, + -8.943186e-001, + -2.487152e-001, + -2.308960e-001, + 8.512648e+000, + 1.298402e-001, + 1.034705e+000, + 2.303509e-001, + -3.924095e+000, + 2.982717e-001, + -1.146999e+000, + -2.318784e-001, + 8.992419e-002, + -9.933614e+000, + -8.860920e-001, + -3.071656e-002, + 2.852012e-001, + 3.046199e+000, + 8.599001e-001, + -1.032399e+000, + -1.645145e-001, + 2.683599e-001, + 1.327701e+001, + -4.407670e+000, + 7.709869e-002, + 4.951727e-001, + 1.957277e+000, + 6.630943e-001, + // albedo 0, turbidity 9 + -1.469070e+000, + -6.135092e-001, + -6.506263e+000, + 6.661315e+000, + -3.835383e-002, + 7.150413e-001, + 7.784318e-003, + 2.820577e+000, + 6.756784e-001, + -2.501583e+000, + -1.247404e+000, + -1.523462e+001, + 1.633191e+001, + -1.204803e-002, + 5.896471e-001, + -2.002023e-002, + 1.144647e+000, + 6.177874e-002, + -2.438672e+000, + -1.127291e+000, + 5.731172e+000, + -1.021350e+001, + 6.165610e-002, + -7.752641e-001, + 4.708254e-001, + 4.176847e+000, + 1.200881e+000, + -1.513427e-001, + 9.792731e-002, + -1.612349e+000, + 9.814289e+000, + 5.188921e-002, + 1.716403e+000, + -7.039255e-002, + -2.815115e+000, + 3.291874e-001, + -1.318511e+000, + -3.650554e-001, + 4.221268e-001, + -9.294529e+000, + -4.397520e-002, + -8.100625e-001, + 3.742719e-001, + 1.834166e+000, + 8.223450e-001, + -1.016009e+000, + -1.820264e-001, + 1.278426e-001, + 1.182696e+001, + -4.801528e+000, + 4.947899e-001, + 4.660378e-001, + 1.601254e+000, + 6.702359e-001, + // albedo 0, turbidity 10 + -1.841310e+000, + -9.781779e-001, + -4.610903e+000, + 4.824662e+000, + -5.100806e-002, + 6.463776e-001, + -6.377724e-006, + 2.216875e+000, + 8.618530e-001, + -2.376373e+000, + -1.108657e+000, + -1.489799e+001, + 1.546458e+001, + 4.091025e-002, + 9.761780e-002, + -1.048958e-002, + 2.165834e+000, + -1.609171e-001, + -4.710318e+000, + -2.261963e+000, + 6.947327e+000, + -1.034828e+001, + -1.325542e-001, + 7.508674e-001, + 2.247553e-001, + 2.873142e+000, + 1.297100e+000, + 2.163750e-001, + -1.944345e-001, + -2.437860e+000, + 1.011314e+001, + 4.450500e-001, + 3.111492e-001, + 2.751323e-001, + -1.627906e+000, + 2.531213e-001, + -1.258794e+000, + -3.524641e-001, + 8.425444e-001, + -1.085313e+001, + -1.154381e+000, + -4.638014e-001, + -2.781115e-003, + 4.344498e-001, + 8.507091e-001, + -1.018938e+000, + -1.804153e-001, + -6.354054e-002, + 1.573150e+001, + -4.386999e+000, + 6.211115e-001, + 5.294648e-001, + 1.580749e+000, + 6.586655e-001, + // albedo 1, turbidity 1 + -1.116416e+000, + -1.917524e-001, + -1.068233e+001, + 1.222221e+001, + -3.668978e-002, + 1.054022e+000, + 1.592132e-002, + 3.180583e+000, + 5.627370e-001, + -1.132341e+000, + -1.671286e-001, + 5.976499e+000, + -4.227366e+000, + -9.542489e-002, + 8.664938e-001, + 8.351793e-003, + 4.876068e+000, + 4.492779e-001, + -1.087635e+000, + -3.173679e-001, + 4.314407e-001, + 1.100555e+000, + -4.410057e-001, + 1.677253e+000, + -3.005925e-002, + -4.201249e+000, + 1.070902e+000, + -1.083031e+000, + -8.847705e-002, + 1.291773e+000, + 4.546776e-001, + 3.091894e-001, + 7.261760e-001, + 4.203659e-002, + 5.990615e+000, + 3.704756e-001, + -1.057899e+000, + -2.246706e-001, + 2.329563e+000, + -1.219656e+000, + -5.335260e+000, + 8.545378e-001, + -3.906209e-002, + -9.025499e-001, + 7.797348e-001, + -1.073305e+000, + -1.522553e-001, + 1.767063e+000, + 1.904280e+000, + -3.101673e+000, + 3.995856e-001, + 2.905192e-002, + 2.563977e+000, + 5.753067e-001, + // albedo 1, turbidity 2 + -1.113674e+000, + -1.759694e-001, + -9.754125e+000, + 1.087391e+001, + -3.841093e-002, + 9.524272e-001, + 5.680219e-002, + 4.227034e+000, + 6.029571e-001, + -1.126496e+000, + -1.680281e-001, + 5.332352e+000, + -4.575579e+000, + -6.761755e-002, + 3.295335e-001, + 1.194896e-001, + 5.570901e+000, + 4.536185e-001, + -1.103074e+000, + -2.681801e-001, + 6.571479e-002, + 2.396522e+000, + -4.551280e-001, + 2.466331e+000, + -1.232022e-001, + -3.023201e+000, + 1.086379e+000, + -1.053299e+000, + -2.697173e-002, + 8.379121e-001, + -9.681458e-001, + 5.890692e-001, + -4.872027e-001, + 2.936929e-001, + 7.510139e+000, + 3.079122e-001, + -1.079553e+000, + -2.710448e-001, + 2.462379e+000, + -3.713554e-001, + -8.534512e+000, + 1.828242e+000, + -1.686398e-001, + -1.961340e+000, + 8.941077e-001, + -1.069741e+000, + -1.396394e-001, + 1.657868e+000, + 3.236313e+000, + -2.706344e+000, + -2.948122e-001, + 1.314816e-001, + 2.868457e+000, + 5.413403e-001, + // albedo 1, turbidity 3 + -1.131649e+000, + -1.954455e-001, + -7.751595e+000, + 8.685861e+000, + -4.910871e-002, + 8.992952e-001, + 4.710143e-002, + 4.254818e+000, + 6.821116e-001, + -1.156689e+000, + -1.884324e-001, + 3.163519e+000, + -3.091522e+000, + -6.613927e-002, + -2.575883e-002, + 1.640065e-001, + 6.073643e+000, + 4.453468e-001, + -1.079224e+000, + -2.621389e-001, + 9.446437e-001, + 1.448479e+000, + -3.969384e-001, + 2.626638e+000, + -8.101186e-002, + -3.016355e+000, + 1.076295e+000, + -1.080832e+000, + 1.033057e-002, + -3.500156e-001, + -3.281419e-002, + 5.655512e-001, + -1.156742e+000, + 4.534710e-001, + 8.774122e+000, + 2.772869e-001, + -1.051202e+000, + -2.679975e-001, + 2.719109e+000, + -2.190316e+000, + -6.878798e+000, + 2.250481e+000, + -2.030252e-001, + -2.026527e+000, + 9.701096e-001, + -1.089849e+000, + -1.598589e-001, + 1.564748e+000, + 6.869187e+000, + -3.053670e+000, + -6.110435e-001, + 1.644472e-001, + 2.370452e+000, + 5.511770e-001, + // albedo 1, turbidity 4 + -1.171419e+000, + -2.429746e-001, + -8.991334e+000, + 9.571216e+000, + -2.772861e-002, + 6.688262e-001, + 7.683478e-002, + 3.785611e+000, + 6.347635e-001, + -1.228554e+000, + -2.917562e-001, + 2.753986e+000, + -2.491780e+000, + -4.663434e-002, + 3.118303e-001, + 7.546506e-002, + 4.463096e+000, + 5.955071e-001, + -1.093124e+000, + -2.447767e-001, + 9.097406e-001, + 5.448296e-001, + -2.957824e-001, + 2.024167e+000, + -5.152333e-004, + -1.069081e+000, + 9.369565e-001, + -1.056994e+000, + 1.569507e-002, + -8.217491e-001, + 1.870818e+000, + 7.061930e-001, + -1.483928e+000, + 5.978206e-001, + 6.864902e+000, + 3.673332e-001, + -1.054871e+000, + -2.758129e-001, + 2.712807e+000, + -5.950110e+000, + -6.554039e+000, + 2.447523e+000, + -1.895171e-001, + -1.454292e+000, + 9.131738e-001, + -1.100218e+000, + -1.746241e-001, + 1.438505e+000, + 1.115481e+001, + -3.266076e+000, + -8.837357e-001, + 1.970100e-001, + 1.991595e+000, + 5.907821e-001, + // albedo 1, turbidity 5 + -1.207267e+000, + -2.913610e-001, + -1.103767e+001, + 1.140724e+001, + -1.416800e-002, + 5.564047e-001, + 8.476262e-002, + 3.371255e+000, + 6.221335e-001, + -1.429698e+000, + -5.374218e-001, + 2.837524e+000, + -2.221936e+000, + -2.422337e-002, + 9.313758e-002, + 7.190250e-002, + 1.869022e+000, + 5.609035e-001, + -1.002274e+000, + -6.972810e-002, + 4.031308e-001, + -3.932997e-001, + -1.521923e-001, + 2.390646e+000, + -6.893990e-002, + 2.999661e+000, + 1.017843e+000, + -1.081168e+000, + -1.178666e-001, + -4.968080e-001, + 3.919299e+000, + 6.046866e-001, + -2.440615e+000, + 7.891538e-001, + 2.140835e+000, + 2.740470e-001, + -1.050727e+000, + -2.307688e-001, + 2.276396e+000, + -9.454407e+000, + -5.505176e+000, + 2.992620e+000, + -2.450942e-001, + 6.078372e-001, + 9.606765e-001, + -1.103752e+000, + -1.810202e-001, + 1.375044e+000, + 1.589095e+001, + -3.438954e+000, + -1.265669e+000, + 2.475172e-001, + 1.680768e+000, + 5.978056e-001, + // albedo 1, turbidity 6 + -1.244324e+000, + -3.378542e-001, + -1.111001e+001, + 1.137784e+001, + -7.896794e-003, + 4.808023e-001, + 9.249904e-002, + 3.025816e+000, + 5.880239e-001, + -1.593165e+000, + -7.027621e-001, + 2.220896e+000, + -1.437709e+000, + -1.534738e-002, + 6.286958e-002, + 6.644555e-002, + 1.091727e+000, + 5.470080e-001, + -9.136506e-001, + 1.344874e-002, + 7.772636e-001, + -1.209396e+000, + -1.408978e-001, + 2.433718e+000, + -1.041938e-001, + 3.791244e+000, + 1.037916e+000, + -1.134968e+000, + -1.803315e-001, + -9.267335e-001, + 4.576670e+000, + 6.851928e-001, + -2.805000e+000, + 8.687208e-001, + 1.161483e+000, + 2.571688e-001, + -1.017037e+000, + -2.053943e-001, + 2.361640e+000, + -9.887818e+000, + -5.122889e+000, + 3.287088e+000, + -2.594102e-001, + 8.578927e-001, + 9.592340e-001, + -1.118723e+000, + -1.934942e-001, + 1.226023e+000, + 1.674140e+001, + -3.277335e+000, + -1.629809e+000, + 2.765232e-001, + 1.637713e+000, + 6.113963e-001, + // albedo 1, turbidity 7 + -1.314779e+000, + -4.119915e-001, + -1.241150e+001, + 1.241578e+001, + 2.344284e-003, + 2.980837e-001, + 1.414613e-001, + 2.781731e+000, + 4.998556e-001, + -1.926199e+000, + -1.020038e+000, + 2.569200e+000, + -1.081159e+000, + -2.266833e-002, + 3.588668e-001, + 8.750078e-003, + -2.452171e-001, + 4.796758e-001, + -7.780002e-001, + 1.850647e-001, + 4.445456e-002, + -2.409297e+000, + -7.816346e-002, + 1.546790e+000, + -2.807227e-002, + 5.998176e+000, + 1.132396e+000, + -1.179326e+000, + -3.578330e-001, + -2.392933e-001, + 6.467883e+000, + 5.904596e-001, + -1.869975e+000, + 8.045839e-001, + -2.498121e+000, + 1.610633e-001, + -1.009956e+000, + -1.311896e-001, + 1.726577e+000, + -1.219356e+001, + -3.466239e+000, + 2.343602e+000, + -2.252205e-001, + 2.573681e+000, + 1.027109e+000, + -1.112460e+000, + -2.063093e-001, + 1.233051e+000, + 2.058946e+001, + -4.578074e+000, + -1.145643e+000, + 3.160192e-001, + 1.420159e+000, + 5.860212e-001, + // albedo 1, turbidity 8 + -1.371689e+000, + -4.914196e-001, + -1.076610e+001, + 1.107405e+001, + -1.485077e-002, + 5.936218e-001, + 3.685482e-002, + 2.599968e+000, + 6.002204e-001, + -2.436997e+000, + -1.377939e+000, + 2.130141e-002, + 1.079593e+000, + -1.796232e-002, + -3.933248e-002, + 1.610711e-001, + -6.901181e-001, + 1.206416e-001, + -8.743368e-001, + 7.331370e-002, + 8.734259e-001, + -3.743126e+000, + -3.151167e-002, + 1.297596e+000, + -7.634926e-002, + 6.532873e+000, + 1.435737e+000, + -9.810197e-001, + -3.521634e-001, + -2.855205e-001, + 7.134674e+000, + 6.839748e-001, + -1.394841e+000, + 6.952036e-001, + -4.633104e+000, + -2.173401e-002, + -1.122958e+000, + -1.691536e-001, + 1.382360e+000, + -1.102913e+001, + -2.608171e+000, + 1.865111e+000, + -1.345154e-001, + 3.112342e+000, + 1.094134e+000, + -1.075586e+000, + -2.077415e-001, + 1.171477e+000, + 1.793270e+001, + -4.656858e+000, + -1.036839e+000, + 3.338295e-001, + 1.042793e+000, + 5.739374e-001, + // albedo 1, turbidity 9 + -1.465871e+000, + -6.364486e-001, + -8.833718e+000, + 9.343650e+000, + -3.223600e-002, + 7.552848e-001, + -3.121341e-006, + 2.249164e+000, + 8.094662e-001, + -2.448924e+000, + -1.270878e+000, + -4.823703e+000, + 5.853058e+000, + -2.149127e-002, + 3.581132e-002, + -1.230276e-003, + 4.892553e-001, + -1.597657e-001, + -2.419809e+000, + -1.071337e+000, + 1.575648e+000, + -4.983580e+000, + 9.545185e-003, + 5.032615e-001, + 4.186266e-001, + 4.634147e+000, + 1.433517e+000, + -1.383278e-001, + -2.797095e-002, + -1.943067e-001, + 6.679623e+000, + 4.118280e-001, + -2.744289e-001, + -2.118722e-002, + -4.337025e+000, + 1.505072e-001, + -1.341872e+000, + -2.518572e-001, + 1.027009e+000, + -6.527103e+000, + -1.081271e+000, + 1.015465e+000, + 2.845789e-001, + 2.470371e+000, + 9.278120e-001, + -1.040640e+000, + -2.367454e-001, + 1.100744e+000, + 8.827253e+000, + -4.560794e+000, + -7.287017e-001, + 2.842503e-001, + 6.336593e-001, + 6.327335e-001, + // albedo 1, turbidity 10 + -1.877993e+000, + -1.025135e+000, + -4.311037e+000, + 4.715016e+000, + -4.711631e-002, + 6.335844e-001, + -7.665398e-006, + 1.788017e+000, + 9.001409e-001, + -2.281540e+000, + -1.137668e+000, + -1.036869e+001, + 1.136254e+001, + 1.961739e-002, + -9.836174e-002, + -6.734567e-003, + 1.320918e+000, + -2.400807e-001, + -4.904054e+000, + -2.315781e+000, + 5.735999e+000, + -8.626257e+000, + -1.255643e-001, + 1.545446e+000, + 1.396860e-001, + 2.972897e+000, + 1.429934e+000, + 4.077067e-001, + -1.833688e-001, + -2.450939e+000, + 9.119433e+000, + 4.505361e-001, + -1.340828e+000, + 3.973690e-001, + -1.785370e+000, + 9.628711e-002, + -1.296052e+000, + -3.250526e-001, + 1.813294e+000, + -1.031485e+001, + -1.388690e+000, + 1.239733e+000, + -8.989196e-002, + -3.389637e-001, + 9.639560e-001, + -1.062181e+000, + -2.423444e-001, + 7.577592e-001, + 1.566938e+001, + -4.462264e+000, + -5.742810e-001, + 3.262259e-001, + 9.461672e-001, + 6.232887e-001, +}; + +static const double datasetXYZRad1[] = { + // albedo 0, turbidity 1 + 1.560219e+000, + 1.417388e+000, + 1.206927e+000, + 1.091949e+001, + 5.931416e+000, + 7.304788e+000, + // albedo 0, turbidity 2 + 1.533049e+000, + 1.560532e+000, + 3.685059e-001, + 1.355040e+001, + 5.543711e+000, + 7.792189e+000, + // albedo 0, turbidity 3 + 1.471043e+000, + 1.746088e+000, + -9.299697e-001, + 1.720362e+001, + 5.473384e+000, + 8.336416e+000, + // albedo 0, turbidity 4 + 1.355991e+000, + 2.109348e+000, + -3.295855e+000, + 2.264843e+001, + 5.454607e+000, + 9.304656e+000, + // albedo 0, turbidity 5 + 1.244963e+000, + 2.547533e+000, + -5.841485e+000, + 2.756879e+001, + 5.576104e+000, + 1.043287e+001, + // albedo 0, turbidity 6 + 1.175532e+000, + 2.784634e+000, + -7.212225e+000, + 2.975347e+001, + 6.472980e+000, + 1.092331e+001, + // albedo 0, turbidity 7 + 1.082973e+000, + 3.118094e+000, + -8.934293e+000, + 3.186879e+001, + 8.473885e+000, + 1.174019e+001, + // albedo 0, turbidity 8 + 9.692500e-001, + 3.349574e+000, + -1.003810e+001, + 3.147654e+001, + 1.338931e+001, + 1.272547e+001, + // albedo 0, turbidity 9 + 8.547044e-001, + 3.151538e+000, + -9.095567e+000, + 2.554995e+001, + 2.273219e+001, + 1.410398e+001, + // albedo 0, turbidity 10 + 7.580340e-001, + 2.311153e+000, + -5.170814e+000, + 1.229669e+001, + 3.686529e+001, + 1.598882e+001, + // albedo 1, turbidity 1 + 1.664273e+000, + 1.574468e+000, + 1.422078e+000, + 9.768247e+000, + 1.447338e+001, + 1.644988e+001, + // albedo 1, turbidity 2 + 1.638295e+000, + 1.719586e+000, + 5.786675e-001, + 1.239846e+001, + 1.415419e+001, + 1.728605e+001, + // albedo 1, turbidity 3 + 1.572623e+000, + 1.921559e+000, + -7.714802e-001, + 1.609246e+001, + 1.420954e+001, + 1.825908e+001, + // albedo 1, turbidity 4 + 1.468395e+000, + 2.211970e+000, + -2.845869e+000, + 2.075027e+001, + 1.524822e+001, + 1.937622e+001, + // albedo 1, turbidity 5 + 1.355047e+000, + 2.556469e+000, + -4.960920e+000, + 2.460237e+001, + 1.648360e+001, + 2.065648e+001, + // albedo 1, turbidity 6 + 1.291642e+000, + 2.742036e+000, + -6.061967e+000, + 2.602002e+001, + 1.819144e+001, + 2.116712e+001, + // albedo 1, turbidity 7 + 1.194565e+000, + 2.972120e+000, + -7.295779e+000, + 2.691805e+001, + 2.124880e+001, + 2.201819e+001, + // albedo 1, turbidity 8 + 1.083631e+000, + 3.047021e+000, + -7.766096e+000, + 2.496261e+001, + 2.744264e+001, + 2.291875e+001, + // albedo 1, turbidity 9 + 9.707994e-001, + 2.736459e+000, + -6.308284e+000, + 1.760860e+001, + 3.776291e+001, + 2.392150e+001, + // albedo 1, turbidity 10 + 8.574294e-001, + 1.865155e+000, + -2.364707e+000, + 4.337793e+000, + 5.092831e+001, + 2.523432e+001, +}; + +static const double datasetXYZ2[] = { + // albedo 0, turbidity 1 + -1.127942e+000, + -1.905548e-001, + -1.252356e+001, + 1.375799e+001, + -3.624732e-002, + 1.055453e+000, + 1.385036e-002, + 4.176970e+000, + 5.928345e-001, + -1.155260e+000, + -1.778135e-001, + 6.216056e+000, + -5.254116e+000, + -8.787445e-002, + 8.434621e-001, + 4.025734e-002, + 6.195322e+000, + 3.111856e-001, + -1.125624e+000, + -3.217593e-001, + 5.043919e-001, + 1.686284e+000, + -3.536071e-001, + 1.476321e+000, + -7.899019e-002, + -4.522531e+000, + 1.271691e+000, + -1.081801e+000, + -1.033234e-001, + 9.995550e-001, + 7.482946e-003, + -6.776018e-002, + 1.463141e+000, + 9.492021e-002, + 5.612723e+000, + 1.298846e-001, + -1.075320e+000, + -2.402711e-001, + 2.141284e+000, + -1.203359e+000, + -4.945188e+000, + 1.437221e+000, + -8.096750e-002, + -1.028378e+000, + 1.004164e+000, + -1.073337e+000, + -1.516517e-001, + 1.639379e+000, + 2.304669e+000, + -3.214244e+000, + 1.286245e+000, + 5.613957e-002, + 2.480902e+000, + 4.999363e-001, + // albedo 0, turbidity 2 + -1.128399e+000, + -1.857793e-001, + -1.089863e+001, + 1.172984e+001, + -3.768099e-002, + 9.439285e-001, + 4.869335e-002, + 4.845114e+000, + 6.119211e-001, + -1.114002e+000, + -1.399280e-001, + 4.963800e+000, + -4.685500e+000, + -7.780879e-002, + 4.049736e-001, + 1.586297e-001, + 7.770264e+000, + 3.449006e-001, + -1.185472e+000, + -3.403543e-001, + 6.588322e-001, + 1.133713e+000, + -4.118674e-001, + 2.061191e+000, + -1.882768e-001, + -4.372586e+000, + 1.223530e+000, + -1.002272e+000, + 2.000703e-002, + 7.073269e-002, + 1.485075e+000, + 5.005589e-001, + 4.301494e-001, + 3.626541e-001, + 7.921098e+000, + 1.574766e-001, + -1.121006e+000, + -3.007777e-001, + 2.242051e+000, + -4.571561e+000, + -7.761071e+000, + 2.053404e+000, + -1.524018e-001, + -1.886162e+000, + 1.018208e+000, + -1.058864e+000, + -1.358673e-001, + 1.389667e+000, + 8.633409e+000, + -3.437249e+000, + 7.295429e-001, + 1.514700e-001, + 2.842513e+000, + 5.014325e-001, + // albedo 0, turbidity 3 + -1.144464e+000, + -2.043799e-001, + -1.020188e+001, + 1.071247e+001, + -3.256693e-002, + 7.860205e-001, + 6.872719e-002, + 4.824771e+000, + 6.259836e-001, + -1.170104e+000, + -2.118626e-001, + 4.391405e+000, + -4.198900e+000, + -7.111559e-002, + 3.890442e-001, + 1.024831e-001, + 6.282535e+000, + 5.365688e-001, + -1.129171e+000, + -2.552880e-001, + 2.238298e-001, + 7.314295e-001, + -3.562730e-001, + 1.881931e+000, + -3.078716e-002, + -1.039120e+000, + 9.096301e-001, + -1.042294e+000, + 4.450203e-003, + -5.116033e-001, + 2.627589e+000, + 6.098996e-001, + -1.264638e-001, + 4.325281e-001, + 7.080503e+000, + 4.583646e-001, + -1.082293e+000, + -2.723056e-001, + 2.065076e+000, + -8.143133e+000, + -7.892212e+000, + 2.142231e+000, + -7.106240e-002, + -1.122398e+000, + 8.338505e-001, + -1.071715e+000, + -1.426568e-001, + 1.095351e+000, + 1.729783e+001, + -3.851931e+000, + 4.360514e-001, + 2.114440e-001, + 2.970832e+000, + 5.944389e-001, + // albedo 0, turbidity 4 + -1.195909e+000, + -2.590449e-001, + -1.191037e+001, + 1.207947e+001, + -1.589842e-002, + 6.297846e-001, + 9.054772e-002, + 4.285959e+000, + 5.933752e-001, + -1.245763e+000, + -3.316637e-001, + 4.293660e+000, + -3.694011e+000, + -4.699947e-002, + 4.843684e-001, + 2.130425e-002, + 4.097549e+000, + 6.530809e-001, + -1.148742e+000, + -1.902509e-001, + -2.393233e-001, + -2.441254e-001, + -2.610918e-001, + 1.846988e+000, + 3.532866e-002, + 2.660106e+000, + 8.358294e-001, + -1.016080e+000, + -7.444960e-002, + -5.053436e-001, + 4.388855e+000, + 6.054987e-001, + -1.208300e+000, + 5.817215e-001, + 2.543570e+000, + 4.726568e-001, + -1.072027e+000, + -2.101440e-001, + 1.518378e+000, + -1.060119e+001, + -6.016546e+000, + 2.649475e+000, + -5.166992e-002, + 1.571269e+000, + 8.344622e-001, + -1.072365e+000, + -1.511201e-001, + 7.478010e-001, + 1.900732e+001, + -3.950387e+000, + -3.473907e-001, + 3.797211e-001, + 2.782949e+000, + 6.296808e-001, + // albedo 0, turbidity 5 + -1.239423e+000, + -3.136289e-001, + -1.351100e+001, + 1.349468e+001, + -7.070423e-003, + 5.012315e-001, + 1.106008e-001, + 3.803619e+000, + 5.577948e-001, + -1.452524e+000, + -5.676944e-001, + 2.993153e+000, + -2.277288e+000, + -2.168954e-002, + 3.056720e-001, + 1.152338e-002, + 1.852697e+000, + 6.427228e-001, + -1.061421e+000, + -4.590521e-002, + 6.057022e-001, + -1.096835e+000, + -1.504952e-001, + 2.344921e+000, + -5.491832e-002, + 5.268322e+000, + 9.082253e-001, + -1.042373e+000, + -1.769498e-001, + -1.075388e+000, + 3.831712e+000, + 3.154140e-001, + -2.416458e+000, + 7.909032e-001, + -1.492892e-002, + 3.854049e-001, + -1.064159e+000, + -1.892684e-001, + 1.438685e+000, + -8.166362e+000, + -3.616364e+000, + 3.275206e+000, + -1.203825e-001, + 2.039491e+000, + 8.688057e-001, + -1.070120e+000, + -1.569508e-001, + 4.124760e-001, + 1.399683e+001, + -3.547085e+000, + -1.046326e+000, + 4.973825e-001, + 2.791231e+000, + 6.503286e-001, + // albedo 0, turbidity 6 + -1.283579e+000, + -3.609518e-001, + -1.335397e+001, + 1.315248e+001, + -4.431938e-004, + 3.769526e-001, + 1.429824e-001, + 3.573613e+000, + 4.998696e-001, + -1.657952e+000, + -7.627948e-001, + 1.958222e+000, + -7.949816e-001, + -2.882837e-002, + 5.356149e-001, + -5.191946e-002, + 8.869955e-001, + 6.263320e-001, + -9.527600e-001, + 6.494189e-002, + 5.361303e-001, + -2.129590e+000, + -9.258630e-002, + 1.604776e+000, + 5.067770e-002, + 6.376055e+000, + 9.138052e-001, + -1.080827e+000, + -2.523120e-001, + -7.154262e-001, + 4.120085e+000, + 1.878228e-001, + -1.492158e+000, + 6.881655e-001, + -1.446611e+000, + 4.040631e-001, + -1.054075e+000, + -1.665498e-001, + 9.191052e-001, + -6.636943e+000, + -1.894826e+000, + 2.107810e+000, + -3.680499e-002, + 2.655452e+000, + 8.413840e-001, + -1.061127e+000, + -1.448849e-001, + 2.667493e-001, + 1.034103e+001, + -4.285769e+000, + -3.874504e-001, + 5.998752e-001, + 3.132426e+000, + 6.652753e-001, + // albedo 0, turbidity 7 + -1.347345e+000, + -4.287832e-001, + -9.305553e+000, + 9.133813e+000, + -3.173527e-003, + 3.977564e-001, + 1.151420e-001, + 3.320564e+000, + 4.998134e-001, + -1.927296e+000, + -9.901372e-001, + -2.593499e+000, + 4.087421e+000, + -5.833993e-002, + 8.158929e-001, + -4.681279e-002, + 2.423716e-001, + 4.938052e-001, + -9.470092e-001, + 7.325237e-002, + 2.064735e+000, + -5.167540e+000, + -1.313751e-002, + 4.832169e-001, + 1.126295e-001, + 6.970522e+000, + 1.035022e+000, + -1.022557e+000, + -2.762616e-001, + -9.375748e-001, + 6.696739e+000, + 2.200765e-001, + -1.133253e-001, + 5.492505e-001, + -3.109391e+000, + 3.321914e-001, + -1.087444e+000, + -1.836263e-001, + 6.225024e-001, + -8.576765e+000, + -1.107637e+000, + 7.859427e-001, + 9.910909e-002, + 3.112938e+000, + 8.596261e-001, + -1.051544e+000, + -1.546262e-001, + 2.371731e-001, + 1.200502e+001, + -4.527291e+000, + 7.268862e-002, + 5.571478e-001, + 2.532873e+000, + 6.662000e-001, + // albedo 0, turbidity 8 + -1.375576e+000, + -4.840019e-001, + -8.121290e+000, + 8.058140e+000, + -1.445661e-002, + 5.123314e-001, + 5.813321e-002, + 3.203219e+000, + 5.442318e-001, + -2.325221e+000, + -1.241463e+000, + -7.063430e+000, + 8.741369e+000, + -7.829950e-002, + 8.844273e-001, + -3.471106e-002, + 1.740583e-001, + 2.814079e-001, + -1.228700e+000, + -2.013412e-001, + 2.949042e+000, + -7.371945e+000, + 1.071753e-001, + -2.491970e-001, + 2.265223e-001, + 6.391504e+000, + 1.172389e+000, + -7.601786e-001, + -1.680631e-001, + -7.584444e-001, + 8.541356e+000, + 8.222291e-002, + 6.729633e-001, + 3.206615e-001, + -3.700940e+000, + 2.710054e-001, + -1.191166e+000, + -2.672347e-001, + 2.927498e-001, + -9.713613e+000, + -4.783721e-001, + 2.352803e-001, + 2.161949e-001, + 2.691481e+000, + 8.745447e-001, + -1.030135e+000, + -1.653301e-001, + 2.263443e-001, + 1.296157e+001, + -4.650644e+000, + 7.055709e-003, + 5.091975e-001, + 2.000370e+000, + 6.603839e-001, + // albedo 0, turbidity 9 + -1.508018e+000, + -6.460933e-001, + -6.402745e+000, + 6.545995e+000, + -3.750320e-002, + 6.921803e-001, + 3.309819e-003, + 2.797527e+000, + 6.978446e-001, + -2.333308e+000, + -1.167837e+000, + -1.746787e+001, + 1.868630e+001, + -8.948229e-003, + 5.621946e-001, + -3.402626e-002, + 1.217943e+000, + 1.149865e-002, + -2.665953e+000, + -1.226307e+000, + 7.169725e+000, + -1.159434e+001, + 3.583420e-002, + -3.074378e-001, + 3.412248e-001, + 4.422122e+000, + 1.283791e+000, + -9.705116e-002, + 8.312991e-002, + -2.160462e+000, + 1.028235e+001, + 3.543357e-002, + 1.032049e+000, + 1.058310e-001, + -2.972898e+000, + 2.418628e-001, + -1.329617e+000, + -3.699557e-001, + 5.560117e-001, + -9.730113e+000, + 9.938865e-002, + -3.071488e-001, + 2.510691e-001, + 1.777111e+000, + 8.705142e-001, + -1.019387e+000, + -1.893247e-001, + 1.194079e-001, + 1.239436e+001, + -4.799224e+000, + 2.940213e-001, + 4.841268e-001, + 1.529724e+000, + 6.582615e-001, + // albedo 0, turbidity 10 + -1.896737e+000, + -1.005442e+000, + -6.411032e+000, + 6.548220e+000, + -3.227596e-002, + 5.717262e-001, + -8.115192e-006, + 2.296704e+000, + 9.000749e-001, + -2.411116e+000, + -1.225587e+000, + -1.753629e+001, + 1.829393e+001, + 1.247555e-002, + 2.364616e-001, + -5.114637e-003, + 1.603778e+000, + -2.224156e-001, + -4.707121e+000, + -2.074977e+000, + 7.942300e+000, + -1.132407e+001, + -5.415654e-002, + 5.446811e-001, + 1.032493e-001, + 4.010235e+000, + 1.369802e+000, + 1.010482e-001, + -4.013305e-001, + -2.674579e+000, + 9.779409e+000, + 1.782506e-001, + 7.053045e-001, + 4.200002e-001, + -2.400671e+000, + 1.953165e-001, + -1.243526e+000, + -3.391255e-001, + 8.848882e-001, + -9.789025e+000, + -3.997324e-001, + -9.546227e-001, + -1.044017e-001, + 6.010593e-001, + 8.714462e-001, + -1.014633e+000, + -1.730009e-001, + -7.738934e-002, + 1.390903e+001, + -4.847307e+000, + 1.076059e+000, + 5.685743e-001, + 1.572992e+000, + 6.561432e-001, + // albedo 1, turbidity 1 + -1.122998e+000, + -1.881183e-001, + -1.030709e+001, + 1.158932e+001, + -4.079495e-002, + 9.603774e-001, + 3.079436e-002, + 4.009235e+000, + 5.060745e-001, + -1.134790e+000, + -1.539688e-001, + 5.478405e+000, + -4.217270e+000, + -1.043858e-001, + 7.165008e-001, + 1.524765e-002, + 6.473623e+000, + 4.207882e-001, + -1.134957e+000, + -3.513318e-001, + 7.393837e-001, + 1.354415e+000, + -4.764078e-001, + 1.690441e+000, + -5.492640e-002, + -5.563523e+000, + 1.145743e+000, + -1.058344e+000, + -5.758503e-002, + 1.168230e+000, + 3.269824e-001, + 1.795193e-001, + 7.849011e-001, + 7.441853e-002, + 6.904804e+000, + 2.818790e-001, + -1.075194e+000, + -2.355813e-001, + 2.463685e+000, + -1.536505e+000, + -7.505771e+000, + 9.619712e-001, + -6.465851e-002, + -1.355492e+000, + 8.489847e-001, + -1.079030e+000, + -1.465328e-001, + 1.773838e+000, + 2.310131e+000, + -3.136065e+000, + 3.507952e-001, + 4.435014e-002, + 2.819225e+000, + 5.689008e-001, + // albedo 1, turbidity 2 + -1.125833e+000, + -1.870849e-001, + -9.555833e+000, + 1.059713e+001, + -4.225402e-002, + 9.164663e-001, + 4.338796e-002, + 4.400980e+000, + 6.056119e-001, + -1.127440e+000, + -1.551891e-001, + 4.755621e+000, + -4.408806e+000, + -7.851763e-002, + 2.268284e-001, + 1.460070e-001, + 7.048003e+000, + 3.525997e-001, + -1.143788e+000, + -3.170178e-001, + 5.480669e-001, + 2.041830e+000, + -4.532139e-001, + 2.302233e+000, + -1.887419e-001, + -4.489221e+000, + 1.250967e+000, + -1.032849e+000, + 7.376031e-003, + 5.666073e-001, + -2.312203e-001, + 4.862894e-001, + -1.748294e-001, + 3.572870e-001, + 8.380522e+000, + 1.302333e-001, + -1.093728e+000, + -2.786977e-001, + 2.641272e+000, + -1.507494e+000, + -8.731243e+000, + 1.684055e+000, + -2.023377e-001, + -2.176398e+000, + 1.013249e+000, + -1.076578e+000, + -1.456205e-001, + 1.693935e+000, + 2.945003e+000, + -2.822673e+000, + -2.520033e-001, + 1.517034e-001, + 2.649109e+000, + 5.179094e-001, + // albedo 1, turbidity 3 + -1.146417e+000, + -2.119353e-001, + -7.187525e+000, + 8.058599e+000, + -5.256438e-002, + 8.375733e-001, + 3.887093e-002, + 4.222111e+000, + 6.695347e-001, + -1.173674e+000, + -2.067025e-001, + 2.899359e+000, + -2.804918e+000, + -8.473899e-002, + 3.944225e-003, + 1.340641e-001, + 6.160887e+000, + 4.527141e-001, + -1.090098e+000, + -2.599633e-001, + 9.180856e-001, + 1.092710e+000, + -4.215019e-001, + 2.427660e+000, + -9.277667e-002, + -2.123523e+000, + 1.058159e+000, + -1.084460e+000, + 8.056181e-003, + -2.453510e-001, + 6.619567e-001, + 4.668118e-001, + -9.526719e-001, + 4.648454e-001, + 8.001572e+000, + 3.054194e-001, + -1.053728e+000, + -2.765784e-001, + 2.792388e+000, + -3.489517e+000, + -8.150535e+000, + 2.195757e+000, + -2.017234e-001, + -2.128017e+000, + 9.326589e-001, + -1.099348e+000, + -1.593939e-001, + 1.568292e+000, + 7.247853e+000, + -2.933000e+000, + -5.890481e-001, + 1.724440e-001, + 2.433484e+000, + 5.736558e-001, + // albedo 1, turbidity 4 + -1.185983e+000, + -2.581184e-001, + -7.761056e+000, + 8.317053e+000, + -3.351773e-002, + 6.676667e-001, + 5.941733e-002, + 3.820727e+000, + 6.324032e-001, + -1.268591e+000, + -3.398067e-001, + 2.348503e+000, + -2.023779e+000, + -5.368458e-002, + 1.083282e-001, + 8.402858e-002, + 3.910254e+000, + 5.577481e-001, + -1.071353e+000, + -1.992459e-001, + 7.878387e-001, + 1.974702e-001, + -3.033058e-001, + 2.335298e+000, + -8.205259e-002, + 7.954454e-001, + 9.972312e-001, + -1.089513e+000, + -3.104364e-002, + -5.995746e-001, + 2.330281e+000, + 6.581939e-001, + -1.821467e+000, + 6.679973e-001, + 5.090195e+000, + 3.125161e-001, + -1.040214e+000, + -2.570934e-001, + 2.660489e+000, + -6.506045e+000, + -7.053586e+000, + 2.763153e+000, + -2.433632e-001, + -7.648176e-001, + 9.452937e-001, + -1.116052e+000, + -1.831993e-001, + 1.457694e+000, + 1.163608e+001, + -3.216426e+000, + -1.045594e+000, + 2.285002e-001, + 1.817407e+000, + 5.810396e-001, + // albedo 1, turbidity 5 + -1.230134e+000, + -3.136264e-001, + -8.909301e+000, + 9.145006e+000, + -1.055387e-002, + 4.467317e-001, + 1.016826e-001, + 3.342964e+000, + 5.633840e-001, + -1.442907e+000, + -5.593147e-001, + 2.156447e+000, + -1.241657e+000, + -3.512130e-002, + 3.050274e-001, + 1.797175e-002, + 1.742358e+000, + 5.977153e-001, + -1.027627e+000, + -6.481539e-002, + 4.351975e-001, + -1.051677e+000, + -2.030672e-001, + 1.942684e+000, + -3.615993e-002, + 4.050266e+000, + 9.801624e-001, + -1.082110e+000, + -1.578209e-001, + -3.397511e-001, + 4.163851e+000, + 6.650368e-001, + -1.841730e+000, + 7.062544e-001, + 6.789881e-001, + 3.172623e-001, + -1.047447e+000, + -1.977560e-001, + 2.183364e+000, + -8.805249e+000, + -5.483962e+000, + 2.551309e+000, + -1.779640e-001, + 1.519501e+000, + 9.212536e-001, + -1.111853e+000, + -1.935736e-001, + 1.394408e+000, + 1.392405e+001, + -3.465430e+000, + -1.068432e+000, + 2.388671e-001, + 1.455336e+000, + 6.233425e-001, + // albedo 1, turbidity 6 + -1.262238e+000, + -3.546341e-001, + -1.008703e+001, + 1.020084e+001, + -1.852187e-003, + 3.537580e-001, + 1.239199e-001, + 3.056093e+000, + 5.132052e-001, + -1.613810e+000, + -7.355585e-001, + 2.760123e+000, + -1.685253e+000, + -2.517552e-002, + 2.914258e-001, + 4.743448e-003, + 8.689596e-001, + 5.674192e-001, + -9.462336e-001, + 2.950767e-002, + -2.613816e-001, + -7.398653e-001, + -1.315558e-001, + 1.901042e+000, + -6.447844e-002, + 4.969341e+000, + 1.027342e+000, + -1.111481e+000, + -2.194054e-001, + -9.004538e-002, + 3.983442e+000, + 4.871278e-001, + -1.965315e+000, + 7.956121e-001, + -2.363225e-001, + 2.718037e-001, + -1.036397e+000, + -1.827106e-001, + 1.964747e+000, + -8.870759e+000, + -4.208011e+000, + 2.461215e+000, + -2.158905e-001, + 1.561676e+000, + 9.436866e-001, + -1.113769e+000, + -1.947819e-001, + 1.300720e+000, + 1.516476e+001, + -4.088732e+000, + -1.069384e+000, + 2.836434e-001, + 1.671451e+000, + 6.229612e-001, + // albedo 1, turbidity 7 + -1.328069e+000, + -4.244047e-001, + -8.417040e+000, + 8.552244e+000, + -6.813504e-003, + 4.127422e-001, + 9.619897e-002, + 2.854227e+000, + 5.059880e-001, + -1.927552e+000, + -1.025290e+000, + 9.529576e-001, + 4.255950e-001, + -3.738779e-002, + 2.584586e-001, + 4.911004e-002, + -2.640913e-001, + 4.138626e-001, + -8.488094e-001, + 1.435988e-001, + 6.356807e-001, + -2.895732e+000, + -8.473961e-002, + 1.701305e+000, + -1.323908e-001, + 6.499338e+000, + 1.210928e+000, + -1.128313e+000, + -3.397048e-001, + -4.043140e-001, + 6.265097e+000, + 5.482395e-001, + -2.057614e+000, + 8.884087e-001, + -2.943879e+000, + 9.760301e-002, + -1.039764e+000, + -1.494772e-001, + 1.781915e+000, + -1.153012e+001, + -3.379232e+000, + 2.517231e+000, + -2.764393e-001, + 2.588849e+000, + 1.052120e+000, + -1.108447e+000, + -2.012251e-001, + 1.198640e+000, + 1.925331e+001, + -4.423892e+000, + -1.257122e+000, + 3.395690e-001, + 1.481220e+000, + 5.880175e-001, + // albedo 1, turbidity 8 + -1.374185e+000, + -4.967434e-001, + -7.401318e+000, + 7.724021e+000, + -2.345723e-002, + 5.979653e-001, + 2.436346e-002, + 2.658970e+000, + 6.014891e-001, + -2.310933e+000, + -1.290290e+000, + -1.301909e+000, + 2.557806e+000, + -3.744449e-002, + 8.982861e-002, + 1.090613e-001, + -4.398363e-001, + 1.184329e-001, + -1.124730e+000, + -9.921830e-002, + 1.366902e+000, + -4.172489e+000, + -5.078016e-002, + 1.393597e+000, + -9.323843e-002, + 6.452721e+000, + 1.435913e+000, + -8.468477e-001, + -2.744819e-001, + -4.347200e-001, + 6.713362e+000, + 6.127133e-001, + -1.685634e+000, + 7.360941e-001, + -4.535502e+000, + -2.920866e-002, + -1.165242e+000, + -2.008697e-001, + 1.438778e+000, + -1.008936e+001, + -2.214771e+000, + 2.102909e+000, + -1.763085e-001, + 2.859075e+000, + 1.093470e+000, + -1.074614e+000, + -2.066374e-001, + 1.131891e+000, + 1.630063e+001, + -4.801441e+000, + -1.112590e+000, + 3.595785e-001, + 1.122227e+000, + 5.794610e-001, + // albedo 1, turbidity 9 + -1.521515e+000, + -6.835604e-001, + -5.571044e+000, + 6.028774e+000, + -4.253715e-002, + 6.875746e-001, + -5.279456e-006, + 2.180150e+000, + 8.487705e-001, + -2.240415e+000, + -1.171166e+000, + -7.182771e+000, + 8.417068e+000, + -1.932866e-002, + 1.101887e-001, + -1.098862e-002, + 6.242195e-001, + -2.393875e-001, + -2.712354e+000, + -1.198830e+000, + 3.180200e+000, + -6.768130e+000, + -2.563386e-003, + 7.984607e-001, + 2.764376e-001, + 4.695358e+000, + 1.557045e+000, + -3.655172e-002, + -2.142321e-002, + -9.138120e-001, + 7.932786e+000, + 3.516542e-001, + -7.994343e-001, + 1.786761e-001, + -4.208399e+000, + 1.820576e-002, + -1.368610e+000, + -2.656212e-001, + 1.249397e+000, + -8.317818e+000, + -8.962772e-001, + 1.423249e+000, + 1.478381e-001, + 2.191660e+000, + 1.007748e+000, + -1.041753e+000, + -2.453366e-001, + 1.061102e+000, + 1.130172e+001, + -4.739312e+000, + -9.223334e-001, + 2.982776e-001, + 6.162931e-001, + 6.080302e-001, + // albedo 1, turbidity 10 + -1.989159e+000, + -1.095160e+000, + -2.915550e+000, + 3.275339e+000, + -5.735765e-002, + 5.742174e-001, + -7.683288e-006, + 1.763400e+000, + 9.001342e-001, + -2.070020e+000, + -1.086338e+000, + -1.095898e+001, + 1.206960e+001, + 3.780123e-002, + -1.774699e-002, + -5.881348e-004, + 1.333819e+000, + -2.605423e-001, + -5.249653e+000, + -2.383040e+000, + 6.160406e+000, + -9.097138e+000, + -1.955319e-001, + 1.651785e+000, + 6.016463e-004, + 3.021824e+000, + 1.493574e+000, + 4.685432e-001, + -2.358662e-001, + -2.666433e+000, + 9.685763e+000, + 5.804928e-001, + -1.521875e+000, + 5.668989e-001, + -1.548136e+000, + 1.688642e-002, + -1.296891e+000, + -3.449031e-001, + 1.928548e+000, + -1.167560e+001, + -1.627615e+000, + 1.355603e+000, + -1.929074e-001, + -6.568952e-001, + 1.009774e+000, + -1.067288e+000, + -2.410392e-001, + 7.147961e-001, + 1.783840e+001, + -4.374399e+000, + -6.588777e-001, + 3.329831e-001, + 1.012066e+000, + 6.118645e-001, +}; + +static const double datasetXYZRad2[] = { + // albedo 0, turbidity 1 + 1.632341e+000, + 1.395230e+000, + 1.375634e+000, + 1.238193e+001, + 5.921102e+000, + 7.766508e+000, + // albedo 0, turbidity 2 + 1.597115e+000, + 1.554617e+000, + 3.932382e-001, + 1.505284e+001, + 5.725234e+000, + 8.158155e+000, + // albedo 0, turbidity 3 + 1.522034e+000, + 1.844545e+000, + -1.322862e+000, + 1.918382e+001, + 5.440769e+000, + 8.837119e+000, + // albedo 0, turbidity 4 + 1.403048e+000, + 2.290852e+000, + -4.013792e+000, + 2.485100e+001, + 5.521888e+000, + 9.845547e+000, + // albedo 0, turbidity 5 + 1.286364e+000, + 2.774498e+000, + -6.648221e+000, + 2.964151e+001, + 5.923777e+000, + 1.097075e+001, + // albedo 0, turbidity 6 + 1.213544e+000, + 3.040195e+000, + -8.092676e+000, + 3.186082e+001, + 6.789782e+000, + 1.158899e+001, + // albedo 0, turbidity 7 + 1.122622e+000, + 3.347465e+000, + -9.649016e+000, + 3.343824e+001, + 9.347715e+000, + 1.231374e+001, + // albedo 0, turbidity 8 + 1.007356e+000, + 3.543858e+000, + -1.053520e+001, + 3.239842e+001, + 1.483962e+001, + 1.331718e+001, + // albedo 0, turbidity 9 + 8.956642e-001, + 3.278700e+000, + -9.254933e+000, + 2.557923e+001, + 2.489677e+001, + 1.476166e+001, + // albedo 0, turbidity 10 + 7.985143e-001, + 2.340404e+000, + -4.928274e+000, + 1.141787e+001, + 3.961501e+001, + 1.682448e+001, + // albedo 1, turbidity 1 + 1.745162e+000, + 1.639467e+000, + 1.342721e+000, + 1.166033e+001, + 1.490124e+001, + 1.774031e+001, + // albedo 1, turbidity 2 + 1.708439e+000, + 1.819144e+000, + 2.834399e-001, + 1.448066e+001, + 1.459214e+001, + 1.858679e+001, + // albedo 1, turbidity 3 + 1.631720e+000, + 2.094799e+000, + -1.378825e+000, + 1.843198e+001, + 1.463173e+001, + 1.962881e+001, + // albedo 1, turbidity 4 + 1.516536e+000, + 2.438729e+000, + -3.624121e+000, + 2.298621e+001, + 1.599782e+001, + 2.070027e+001, + // albedo 1, turbidity 5 + 1.405863e+000, + 2.785191e+000, + -5.705236e+000, + 2.645121e+001, + 1.768330e+001, + 2.191903e+001, + // albedo 1, turbidity 6 + 1.344052e+000, + 2.951807e+000, + -6.683851e+000, + 2.744271e+001, + 1.985706e+001, + 2.229452e+001, + // albedo 1, turbidity 7 + 1.245827e+000, + 3.182923e+000, + -7.822960e+000, + 2.791395e+001, + 2.327254e+001, + 2.315910e+001, + // albedo 1, turbidity 8 + 1.132305e+000, + 3.202593e+000, + -8.008429e+000, + 2.521093e+001, + 3.000014e+001, + 2.405306e+001, + // albedo 1, turbidity 9 + 1.020330e+000, + 2.820556e+000, + -6.238704e+000, + 1.709276e+001, + 4.077916e+001, + 2.509949e+001, + // albedo 1, turbidity 10 + 9.031570e-001, + 1.863917e+000, + -1.955738e+000, + 3.032665e+000, + 5.434290e+001, + 2.641780e+001, +}; + +static const double datasetXYZ3[] = { + // albedo 0, turbidity 1 + -1.310023e+000, + -4.407658e-001, + -3.640340e+001, + 3.683292e+001, + -8.124762e-003, + 5.297961e-001, + 1.188633e-002, + 3.138320e+000, + 5.134778e-001, + -1.424100e+000, + -5.501606e-001, + -1.753510e+001, + 1.822769e+001, + -1.539272e-002, + 6.366826e-001, + 2.661996e-003, + 2.659915e+000, + 4.071138e-001, + -1.103436e+000, + -1.884105e-001, + 6.425322e+000, + -6.910579e+000, + -2.019861e-002, + 3.553271e-001, + -1.589061e-002, + 5.345985e+000, + 8.790218e-001, + -1.186200e+000, + -4.307514e-001, + -3.957947e+000, + 5.979352e+000, + -5.348869e-002, + 1.736117e+000, + 3.491346e-002, + -2.692261e+000, + 5.610506e-001, + -1.006038e+000, + -1.305995e-001, + 4.473513e+000, + -3.806719e+000, + 1.419407e-001, + -2.148238e-002, + -5.081185e-002, + 3.735362e+000, + 5.358280e-001, + -1.078507e+000, + -1.633754e-001, + -3.812368e+000, + 4.381700e+000, + 2.988122e-002, + 1.754224e+000, + 1.472376e-001, + 3.722798e+000, + 4.999157e-001, + // albedo 0, turbidity 2 + -1.333582e+000, + -4.649908e-001, + -3.359528e+001, + 3.404375e+001, + -9.384242e-003, + 5.587511e-001, + 5.726310e-003, + 3.073145e+000, + 5.425529e-001, + -1.562624e+000, + -7.107068e-001, + -1.478170e+001, + 1.559839e+001, + -1.462375e-002, + 5.050133e-001, + 2.516017e-002, + 1.604696e+000, + 2.902403e-001, + -8.930158e-001, + 4.068077e-002, + 1.373481e+000, + -2.342752e+000, + -2.098058e-002, + 6.248686e-001, + -5.258363e-002, + 7.058214e+000, + 1.150373e+000, + -1.262823e+000, + -4.818353e-001, + 8.892610e-004, + 1.923120e+000, + -4.979718e-002, + 1.040693e+000, + 1.558103e-001, + -2.852480e+000, + 2.420691e-001, + -9.968383e-001, + -1.200648e-001, + 1.324342e+000, + -9.430889e-001, + 1.931098e-001, + 4.436916e-001, + -7.320456e-002, + 4.215931e+000, + 7.898019e-001, + -1.078185e+000, + -1.718192e-001, + -1.720191e+000, + 2.358918e+000, + 2.765637e-002, + 1.260245e+000, + 2.021941e-001, + 3.395483e+000, + 5.173628e-001, + // albedo 0, turbidity 3 + -1.353023e+000, + -4.813523e-001, + -3.104920e+001, + 3.140156e+001, + -9.510741e-003, + 5.542030e-001, + 8.135471e-003, + 3.136646e+000, + 5.215989e-001, + -1.624704e+000, + -7.990201e-001, + -2.167125e+001, + 2.246341e+001, + -1.163533e-002, + 5.415746e-001, + 2.618378e-002, + 1.139214e+000, + 3.444357e-001, + -7.983610e-001, + 1.417476e-001, + 9.914841e+000, + -1.081503e+001, + -1.218845e-002, + 3.411392e-001, + -6.137698e-002, + 7.445848e+000, + 1.180080e+000, + -1.266679e+000, + -4.288977e-001, + -5.818701e+000, + 6.986437e+000, + -8.180711e-002, + 1.397403e+000, + 2.016916e-001, + -1.275731e+000, + 2.592773e-001, + -1.009707e+000, + -1.537754e-001, + 3.496378e+000, + -3.013726e+000, + 2.421150e-001, + -2.831925e-001, + 3.003395e-002, + 3.702862e+000, + 7.746320e-001, + -1.075646e+000, + -1.768747e-001, + -1.347762e+000, + 1.989004e+000, + 1.375836e-002, + 1.764810e+000, + 1.330018e-001, + 3.230864e+000, + 6.626210e-001, + // albedo 0, turbidity 4 + -1.375269e+000, + -5.103569e-001, + -3.442661e+001, + 3.478703e+001, + -8.460009e-003, + 5.408643e-001, + 4.813323e-003, + 3.016078e+000, + 5.062069e-001, + -1.821679e+000, + -9.766461e-001, + -1.926488e+001, + 1.997912e+001, + -9.822567e-003, + 3.649556e-001, + 4.316092e-002, + 8.930190e-001, + 4.166527e-001, + -6.633542e-001, + 1.997841e-001, + 2.395592e+000, + -3.117175e+000, + -1.080884e-002, + 8.983814e-001, + -1.375825e-001, + 6.673463e+000, + 1.115663e+000, + -1.303240e+000, + -3.612712e-001, + 8.292959e-002, + 3.381364e-001, + -6.078648e-002, + 3.229247e-001, + 3.680987e-001, + 7.046755e-001, + 3.144924e-001, + -9.952598e-001, + -2.039076e-001, + 4.026851e-001, + 2.686684e-001, + 1.640712e-001, + 5.186341e-001, + -1.205520e-002, + 2.659613e+000, + 8.030394e-001, + -1.098579e+000, + -2.151992e-001, + 6.558198e-001, + -7.436900e-004, + -1.421817e-003, + 1.073701e+000, + 1.886875e-001, + 2.536857e+000, + 6.673923e-001, + // albedo 0, turbidity 5 + -1.457986e+000, + -5.906842e-001, + -3.812464e+001, + 3.838539e+001, + -6.024357e-003, + 4.741484e-001, + 1.209223e-002, + 2.818432e+000, + 5.012433e-001, + -1.835728e+000, + -1.003405e+000, + -6.848129e+000, + 7.601943e+000, + -1.277375e-002, + 4.785598e-001, + 3.366853e-002, + 1.097701e+000, + 4.636635e-001, + -8.491348e-001, + 9.466365e-003, + -2.685226e+000, + 2.004060e+000, + -1.168708e-002, + 6.752316e-001, + -1.543371e-001, + 5.674759e+000, + 1.039534e+000, + -1.083379e+000, + -1.506790e-001, + 7.328236e-001, + -5.095568e-001, + -8.609153e-002, + 4.448820e-001, + 4.174662e-001, + 1.481556e+000, + 3.942551e-001, + -1.117089e+000, + -3.337605e-001, + 2.502281e-001, + 4.036323e-001, + 2.673899e-001, + 2.829817e-001, + 2.242450e-002, + 2.043207e+000, + 7.706902e-001, + -1.071648e+000, + -2.126200e-001, + 6.069466e-001, + -1.456290e-003, + -5.515960e-001, + 1.046755e+000, + 1.985021e-001, + 2.290245e+000, + 6.876058e-001, + // albedo 0, turbidity 6 + -1.483903e+000, + -6.309647e-001, + -4.380213e+001, + 4.410537e+001, + -5.712161e-003, + 5.195992e-001, + 2.028428e-003, + 2.687114e+000, + 5.098321e-001, + -2.053976e+000, + -1.141473e+000, + 5.109183e-001, + 8.060391e-002, + -1.033983e-002, + 4.066532e-001, + 4.869627e-002, + 1.161722e+000, + 4.039525e-001, + -6.348185e-001, + 7.651292e-002, + -1.031327e+001, + 1.007598e+001, + -2.083688e-002, + 7.359516e-001, + -2.029459e-001, + 5.013257e+000, + 1.077649e+000, + -1.228630e+000, + -1.650496e-001, + 4.077157e-002, + -7.189167e-001, + -5.092220e-002, + 2.959814e-001, + 5.111496e-001, + 2.540433e+000, + 3.615330e-001, + -1.041883e+000, + -3.278413e-001, + -6.691911e-002, + 1.307364e+000, + 2.166663e-001, + 3.000595e-001, + -3.157136e-003, + 1.389208e+000, + 7.999026e-001, + -1.103556e+000, + -2.443602e-001, + 4.705347e-001, + -9.296482e-004, + -5.309920e-001, + 9.654511e-001, + 2.142587e-001, + 2.244723e+000, + 6.839976e-001, + // albedo 0, turbidity 7 + -1.555684e+000, + -6.962113e-001, + -4.647983e+001, + 4.674270e+001, + -5.034895e-003, + 4.755090e-001, + -9.502561e-007, + 2.626569e+000, + 5.056194e-001, + -1.998288e+000, + -1.124720e+000, + -1.629586e+000, + 2.187993e+000, + -8.284384e-003, + 3.845258e-001, + 5.726240e-002, + 1.185644e+000, + 4.255812e-001, + -1.032570e+000, + -2.513850e-001, + -3.721112e+000, + 3.506967e+000, + -2.186561e-002, + 9.436049e-001, + -2.451412e-001, + 4.725724e+000, + 1.039256e+000, + -8.597532e-001, + 9.073332e-002, + -2.553741e+000, + 1.993237e+000, + -4.390891e-002, + -2.046928e-001, + 5.515623e-001, + 1.909127e+000, + 3.948212e-001, + -1.210482e+000, + -4.477622e-001, + -2.267805e-001, + 1.219488e+000, + 1.336186e-001, + 6.866897e-001, + 2.808997e-002, + 1.600403e+000, + 7.816409e-001, + -1.078168e+000, + -2.699261e-001, + 2.537282e-001, + 3.820684e-001, + -4.425103e-001, + 5.298235e-001, + 2.185217e-001, + 1.728679e+000, + 6.882743e-001, + // albedo 0, turbidity 8 + -1.697968e+000, + -8.391488e-001, + -5.790105e+001, + 5.814120e+001, + -3.404760e-003, + 4.265140e-001, + -1.796301e-006, + 2.368442e+000, + 5.324429e-001, + -2.141552e+000, + -1.172230e+000, + 1.677872e+001, + -1.641470e+001, + -5.732425e-003, + 2.002199e-001, + 6.841834e-002, + 1.485338e+000, + 3.215763e-001, + -1.442946e+000, + -7.264245e-001, + -9.503706e+000, + 9.650462e+000, + -2.120995e-002, + 1.419263e+000, + -2.893098e-001, + 3.860731e+000, + 1.120857e+000, + -5.696752e-001, + 3.411279e-001, + -2.931035e-001, + -6.512552e-001, + -1.068437e-001, + -1.085661e+000, + 6.107549e-001, + 1.459503e+000, + 3.210336e-001, + -1.313839e+000, + -5.921371e-001, + -2.332222e-001, + 1.648196e+000, + 2.492787e-001, + 1.381033e+000, + -1.993392e-002, + 9.812560e-001, + 8.316329e-001, + -1.087464e+000, + -3.195534e-001, + 2.902095e-001, + 3.383709e-001, + -8.798482e-001, + 1.494668e-002, + 2.529703e-001, + 1.452644e+000, + 6.693870e-001, + // albedo 0, turbidity 9 + -2.068582e+000, + -1.118605e+000, + -5.081598e+001, + 5.097486e+001, + -3.280669e-003, + 4.067371e-001, + -2.544951e-006, + 2.179497e+000, + 5.778017e-001, + -1.744693e+000, + -8.537207e-001, + 2.234361e+001, + -2.208318e+001, + -5.932616e-003, + 1.035049e-001, + 5.742772e-002, + 1.977880e+000, + 2.124846e-001, + -3.287515e+000, + -2.140268e+000, + -1.249566e+001, + 1.240091e+001, + -2.409349e-002, + 1.397821e+000, + -2.371627e-001, + 2.771192e+000, + 1.170496e+000, + 5.502311e-001, + 1.046630e+000, + 2.193517e+000, + -2.220400e+000, + -1.064394e-001, + -1.017926e+000, + 4.795457e-001, + 1.030644e+000, + 3.177516e-001, + -1.719734e+000, + -9.536198e-001, + -6.586821e-001, + 1.386361e+000, + -2.513065e-002, + 1.187011e+000, + 6.542539e-002, + 5.296055e-001, + 8.082660e-001, + -1.005700e+000, + -3.028096e-001, + 4.470957e-002, + 1.007760e+000, + -8.119016e-001, + 3.153338e-002, + 2.311321e-001, + 1.182208e+000, + 6.824758e-001, + // albedo 0, turbidity 10 + -2.728867e+000, + -1.580388e+000, + -3.079627e+001, + 3.092586e+001, + -4.197673e-003, + 3.154759e-001, + -3.897675e-006, + 1.920567e+000, + 6.664791e-001, + -1.322495e+000, + -7.249275e-001, + 1.477660e+001, + -1.468154e+001, + -9.044857e-003, + 5.624314e-002, + 6.498392e-002, + 2.047389e+000, + 6.367540e-002, + -6.102376e+000, + -3.473018e+000, + -9.926071e+000, + 9.637797e+000, + -1.097909e-002, + 1.103498e+000, + -2.424521e-001, + 2.520748e+000, + 1.240260e+000, + 1.351796e+000, + 1.018588e+000, + 2.009081e+000, + -1.333394e+000, + -1.979125e-001, + -3.318292e-001, + 4.476624e-001, + 9.095235e-001, + 2.955611e-001, + -1.774467e+000, + -1.079880e+000, + -8.084680e-002, + 2.577697e-001, + -1.149295e-001, + 4.975303e-001, + 2.931611e-003, + -3.803171e-001, + 8.002794e-001, + -9.898401e-001, + -2.542513e-001, + -7.530911e-002, + 1.870355e+000, + -1.521918e+000, + 2.405164e-001, + 2.964615e-001, + 1.334800e+000, + 6.789053e-001, + // albedo 1, turbidity 1 + -1.279730e+000, + -4.290674e-001, + -4.277972e+001, + 4.343305e+001, + -6.541826e-003, + 4.945086e-001, + 1.425338e-002, + 2.685244e+000, + 5.011313e-001, + -1.449506e+000, + -5.766374e-001, + -1.688496e+001, + 1.781118e+001, + -1.121649e-002, + 3.545020e-001, + 2.287338e-002, + 1.904281e+000, + 4.936998e-001, + -1.021980e+000, + -1.897574e-001, + 2.482462e+000, + -2.941725e+000, + -1.570448e-002, + 7.532578e-001, + -4.256800e-002, + 5.239660e+000, + 4.983116e-001, + -1.162608e+000, + -3.428049e-001, + 3.974358e+000, + -1.527935e+000, + -3.919201e-002, + 8.758593e-001, + 7.291363e-002, + -3.455257e+000, + 8.007426e-001, + -9.929985e-001, + -8.712006e-002, + -7.397313e-001, + 1.348372e+000, + 9.511685e-002, + 3.233584e-001, + -7.549148e-002, + 5.806452e+000, + 4.990042e-001, + -1.084996e+000, + -1.739767e-001, + 1.580475e-001, + 9.088180e-001, + 6.871433e-002, + 5.933079e-001, + 1.188921e-001, + 3.074079e+000, + 4.999327e-001, + // albedo 1, turbidity 2 + -1.317009e+000, + -4.661946e-001, + -4.255347e+001, + 4.312782e+001, + -5.727235e-003, + 4.285447e-001, + 2.189854e-002, + 2.608310e+000, + 5.190700e-001, + -1.469236e+000, + -6.282139e-001, + -1.241404e+001, + 1.348765e+001, + -1.204770e-002, + 5.070285e-001, + -7.280216e-004, + 1.491533e+000, + 3.635064e-001, + -9.713808e-001, + -8.138038e-002, + 3.709854e-001, + -1.041174e+000, + -1.814075e-002, + 5.060860e-001, + -2.053756e-002, + 6.161431e+000, + 1.093736e+000, + -1.159057e+000, + -3.698074e-001, + 2.711209e+000, + -6.006479e-001, + -4.896926e-002, + 9.273957e-001, + 1.137712e-001, + -3.496828e+000, + 2.867109e-001, + -1.011601e+000, + -8.201890e-002, + 2.105725e-001, + 4.597520e-001, + 1.478925e-001, + 2.138940e-001, + -5.660670e-002, + 6.057755e+000, + 7.859121e-001, + -1.078020e+000, + -1.811580e-001, + 1.646622e-001, + 8.348426e-001, + 1.149064e-001, + 4.985738e-001, + 1.376605e-001, + 2.746607e+000, + 4.999626e-001, + // albedo 1, turbidity 3 + -1.325672e+000, + -4.769313e-001, + -4.111215e+001, + 4.168293e+001, + -6.274997e-003, + 4.649469e-001, + 1.119411e-002, + 2.631267e+000, + 5.234546e-001, + -1.619391e+000, + -8.000253e-001, + -1.534098e+001, + 1.632706e+001, + -1.012023e-002, + 4.242255e-001, + 2.931597e-002, + 8.925807e-001, + 3.314765e-001, + -7.356979e-001, + 1.368406e-001, + 2.972579e+000, + -3.535359e+000, + -1.318948e-002, + 4.607620e-001, + -7.182778e-002, + 6.254100e+000, + 1.236299e+000, + -1.316217e+000, + -4.194427e-001, + 3.489902e-002, + 1.289849e+000, + -4.755960e-002, + 1.138222e+000, + 1.975992e-001, + -8.991542e-001, + 2.290572e-001, + -9.502188e-001, + -1.172703e-001, + 1.405202e+000, + -3.061919e-001, + 1.058772e-001, + -3.760592e-001, + -1.983179e-002, + 3.562353e+000, + 7.895959e-001, + -1.100117e+000, + -1.900567e-001, + 4.925030e-001, + 5.250225e-001, + 1.576804e-001, + 1.042701e+000, + 7.330743e-002, + 2.796064e+000, + 6.749783e-001, + // albedo 1, turbidity 4 + -1.354183e+000, + -5.130625e-001, + -4.219268e+001, + 4.271772e+001, + -5.365373e-003, + 4.136743e-001, + 1.235172e-002, + 2.520122e+000, + 5.187269e-001, + -1.741434e+000, + -9.589761e-001, + -8.230339e+000, + 9.296799e+000, + -9.600162e-003, + 4.994969e-001, + 2.955452e-002, + 3.667099e-001, + 3.526999e-001, + -6.917347e-001, + 2.154887e-001, + -8.760264e-001, + 2.334121e-001, + -1.909621e-002, + 4.748033e-001, + -1.138514e-001, + 6.515360e+000, + 1.225097e+000, + -1.293189e+000, + -4.218700e-001, + 1.620952e+000, + -7.858597e-001, + -3.769410e-002, + 6.636786e-001, + 3.364945e-001, + -5.341017e-001, + 2.128347e-001, + -9.735521e-001, + -1.325495e-001, + 1.007517e+000, + 2.598258e-001, + 6.762169e-002, + 1.421018e-003, + -6.915987e-002, + 3.185897e+000, + 8.641956e-001, + -1.094800e+000, + -1.962062e-001, + 5.755591e-001, + 2.906259e-001, + 2.625748e-001, + 7.644049e-001, + 1.347492e-001, + 2.677126e+000, + 6.465460e-001, + // albedo 1, turbidity 5 + -1.393063e+000, + -5.578338e-001, + -4.185249e+001, + 4.233504e+001, + -5.435640e-003, + 4.743765e-001, + 7.422477e-003, + 2.442801e+000, + 5.211707e-001, + -1.939487e+000, + -1.128509e+000, + -8.974257e+000, + 9.978383e+000, + -7.965597e-003, + 2.948830e-001, + 4.436763e-002, + 2.839868e-001, + 3.440424e-001, + -6.011562e-001, + 2.354877e-001, + -3.079820e+000, + 2.585094e+000, + -2.002701e-002, + 7.793909e-001, + -1.598414e-001, + 5.834678e+000, + 1.202856e+000, + -1.315676e+000, + -3.903446e-001, + 1.701900e+000, + -1.304609e+000, + -1.045121e-002, + 2.747707e-001, + 4.143967e-001, + 3.197102e-001, + 2.637580e-001, + -9.618628e-001, + -1.625841e-001, + 1.187138e+000, + 1.497802e-001, + -5.590954e-006, + 3.178475e-002, + -4.153145e-002, + 2.496096e+000, + 8.195082e-001, + -1.111554e+000, + -2.365546e-001, + 7.831875e-001, + 2.018684e-001, + 2.074369e-001, + 7.395978e-001, + 1.225730e-001, + 1.876478e+000, + 6.821167e-001, + // albedo 1, turbidity 6 + -1.427879e+000, + -5.994879e-001, + -3.531016e+001, + 3.581581e+001, + -6.431497e-003, + 4.554192e-001, + 7.348731e-004, + 2.334619e+000, + 5.233377e-001, + -1.998177e+000, + -1.206633e+000, + -2.146510e+001, + 2.242237e+001, + -5.857596e-003, + 2.755663e-001, + 6.384795e-002, + 1.358244e-001, + 3.328437e-001, + -6.440630e-001, + 2.058571e-001, + 2.155499e+000, + -2.587968e+000, + -1.840023e-002, + 8.826555e-001, + -2.222452e-001, + 5.847073e+000, + 1.228387e+000, + -1.229071e+000, + -3.360441e-001, + -3.429599e-001, + 6.179469e-001, + 2.029610e-003, + 8.899319e-002, + 5.041624e-001, + 1.882964e-001, + 2.252040e-001, + -1.022905e+000, + -2.101621e-001, + 1.915689e+000, + -6.498794e-001, + -3.463651e-002, + 8.954605e-002, + -6.797854e-002, + 2.417705e+000, + 8.568618e-001, + -1.082538e+000, + -2.007723e-001, + 4.731009e-001, + 4.077267e-001, + 1.324289e-001, + 6.514880e-001, + 1.702912e-001, + 2.309383e+000, + 6.600895e-001, + // albedo 1, turbidity 7 + -1.472139e+000, + -6.499815e-001, + -3.428465e+001, + 3.469659e+001, + -5.747023e-003, + 4.174167e-001, + 1.688597e-003, + 2.323046e+000, + 5.395191e-001, + -2.161176e+000, + -1.353089e+000, + -2.226827e+001, + 2.329138e+001, + -5.583808e-003, + 2.364793e-001, + 6.096656e-002, + 1.944666e-003, + 2.861624e-001, + -6.593044e-001, + 1.393558e-001, + 4.698373e+000, + -5.193883e+000, + -1.998390e-002, + 1.095635e+000, + -2.391254e-001, + 5.598103e+000, + 1.236193e+000, + -1.195717e+000, + -2.972715e-001, + 4.648953e-002, + 3.024588e-001, + 5.003313e-003, + -3.754741e-001, + 5.247265e-001, + -1.381312e-001, + 2.493896e-001, + -1.020139e+000, + -2.253524e-001, + 3.548437e-001, + 7.030485e-001, + -2.107076e-002, + 4.581395e-001, + -3.243757e-002, + 2.453259e+000, + 8.323623e-001, + -1.098770e+000, + -2.435780e-001, + 8.761614e-001, + 1.941613e-001, + -1.990692e-001, + 3.761139e-001, + 1.657412e-001, + 1.590503e+000, + 6.741417e-001, + // albedo 1, turbidity 8 + -1.648007e+000, + -8.205121e-001, + -4.435106e+001, + 4.479801e+001, + -4.181353e-003, + 3.854830e-001, + -1.842385e-006, + 2.000281e+000, + 5.518363e-001, + -2.140986e+000, + -1.282239e+000, + -3.979213e+000, + 4.672459e+000, + -5.008582e-003, + 2.421920e-001, + 6.253602e-002, + 6.612713e-001, + 2.555851e-001, + -1.300502e+000, + -5.137898e-001, + 5.179821e-001, + -4.032341e-001, + -2.066785e-002, + 1.087929e+000, + -2.615309e-001, + 4.225887e+000, + 1.229237e+000, + -6.963340e-001, + 9.241060e-002, + 6.936356e-002, + -3.588571e-001, + -5.461843e-002, + -5.616643e-001, + 5.484166e-001, + -4.776267e-002, + 2.414935e-001, + -1.233179e+000, + -4.325498e-001, + 6.479813e-001, + 8.368356e-001, + 2.458875e-001, + 6.464752e-001, + -2.897097e-002, + 1.561773e+000, + 8.518598e-001, + -1.051023e+000, + -2.533690e-001, + 1.004294e+000, + 3.028083e-001, + -1.520108e+000, + 1.607013e-001, + 1.619975e-001, + 1.131094e+000, + 6.706655e-001, + // albedo 1, turbidity 9 + -1.948249e+000, + -1.097383e+000, + -4.453697e+001, + 4.494902e+001, + -3.579939e-003, + 3.491605e-001, + -2.500253e-006, + 1.740442e+000, + 6.188022e-001, + -2.154253e+000, + -1.209559e+000, + 4.144894e+000, + -3.562411e+000, + -5.638843e-003, + 1.067169e-001, + 7.594858e-002, + 1.005280e+000, + 1.072543e-001, + -2.513259e+000, + -1.507208e+000, + -1.602979e+000, + 1.404154e+000, + -5.560750e-003, + 1.240490e+000, + -2.852117e-001, + 3.485252e+000, + 1.349321e+000, + -7.832214e-002, + 3.655626e-001, + 3.856288e-001, + 6.867894e-001, + -1.609523e-001, + -6.704306e-001, + 5.357301e-001, + -6.457935e-001, + 1.479503e-001, + -1.354784e+000, + -5.454375e-001, + 8.797469e-001, + -1.466514e+000, + 7.134420e-001, + 5.934903e-001, + -2.911178e-002, + 8.643737e-001, + 9.030724e-001, + -1.048324e+000, + -2.738736e-001, + 8.783074e-001, + 3.246188e+000, + -4.435369e+000, + 1.251791e-001, + 1.783486e-001, + 1.064657e+000, + 6.522878e-001, + // albedo 1, turbidity 10 + -2.770408e+000, + -1.618911e+000, + -2.504031e+001, + 2.531674e+001, + -4.239279e-003, + 3.241013e-001, + -3.764484e-006, + 1.586843e+000, + 7.035906e-001, + -1.913500e+000, + -1.144014e+000, + -1.080587e+001, + 1.153677e+001, + -1.003197e-002, + 1.577515e-001, + 5.217789e-002, + 1.225278e+000, + 5.172771e-003, + -5.293208e+000, + -2.876463e+000, + 2.087053e+000, + -3.201552e+000, + 3.892964e-003, + 5.323930e-001, + -2.034512e-001, + 2.617760e+000, + 1.273597e+000, + 9.060340e-001, + 3.773409e-001, + -6.399945e-001, + 3.213979e+000, + -9.112172e-002, + 6.494055e-001, + 3.953280e-001, + 5.047796e-001, + 2.998695e-001, + -1.482179e+000, + -6.778310e-001, + 1.161775e+000, + -3.004872e+000, + 4.774797e-001, + -4.969248e-001, + -3.512074e-003, + -1.307190e+000, + 7.927378e-001, + -9.863181e-001, + -1.803364e-001, + 5.810824e-001, + 4.580570e+000, + -3.863454e+000, + 5.328174e-001, + 2.272821e-001, + 1.771114e+000, + 6.791814e-001, +}; + +static const double datasetXYZRad3[] = { + // albedo 0, turbidity 1 + 1.168084e+000, + 2.156455e+000, + -3.980314e+000, + 1.989302e+001, + 1.328335e+001, + 1.435621e+001, + // albedo 0, turbidity 2 + 1.135488e+000, + 2.294701e+000, + -4.585886e+000, + 2.090208e+001, + 1.347840e+001, + 1.467658e+001, + // albedo 0, turbidity 3 + 1.107408e+000, + 2.382765e+000, + -5.112357e+000, + 2.147823e+001, + 1.493128e+001, + 1.460882e+001, + // albedo 0, turbidity 4 + 1.054193e+000, + 2.592891e+000, + -6.115000e+000, + 2.268967e+001, + 1.635672e+001, + 1.518999e+001, + // albedo 0, turbidity 5 + 1.006946e+000, + 2.705420e+000, + -6.698930e+000, + 2.291830e+001, + 1.834324e+001, + 1.570651e+001, + // albedo 0, turbidity 6 + 9.794044e-001, + 2.742440e+000, + -6.805283e+000, + 2.225271e+001, + 2.050797e+001, + 1.563130e+001, + // albedo 0, turbidity 7 + 9.413577e-001, + 2.722009e+000, + -6.760707e+000, + 2.098242e+001, + 2.342588e+001, + 1.605011e+001, + // albedo 0, turbidity 8 + 8.917923e-001, + 2.592780e+000, + -6.152635e+000, + 1.774141e+001, + 2.858324e+001, + 1.657910e+001, + // albedo 0, turbidity 9 + 8.288391e-001, + 2.153434e+000, + -4.118327e+000, + 1.078118e+001, + 3.681710e+001, + 1.738139e+001, + // albedo 0, turbidity 10 + 7.623528e-001, + 1.418187e+000, + -8.845235e-001, + 7.590129e-001, + 4.629859e+001, + 1.921657e+001, + // albedo 1, turbidity 1 + 1.352858e+000, + 2.048862e+000, + -2.053393e+000, + 1.405874e+001, + 3.045344e+001, + 3.044430e+001, + // albedo 1, turbidity 2 + 1.330497e+000, + 2.126497e+000, + -2.466296e+000, + 1.467559e+001, + 3.090738e+001, + 3.069707e+001, + // albedo 1, turbidity 3 + 1.286344e+000, + 2.200436e+000, + -2.877228e+000, + 1.492701e+001, + 3.236288e+001, + 3.077223e+001, + // albedo 1, turbidity 4 + 1.234428e+000, + 2.289628e+000, + -3.404699e+000, + 1.499436e+001, + 3.468390e+001, + 3.084842e+001, + // albedo 1, turbidity 5 + 1.178660e+000, + 2.306071e+000, + -3.549159e+000, + 1.411006e+001, + 3.754188e+001, + 3.079730e+001, + // albedo 1, turbidity 6 + 1.151366e+000, + 2.333005e+000, + -3.728627e+000, + 1.363374e+001, + 3.905894e+001, + 3.092599e+001, + // albedo 1, turbidity 7 + 1.101593e+000, + 2.299422e+000, + -3.565787e+000, + 1.196745e+001, + 4.188472e+001, + 3.102755e+001, + // albedo 1, turbidity 8 + 1.038322e+000, + 2.083539e+000, + -2.649585e+000, + 8.037389e+000, + 4.700869e+001, + 3.065948e+001, + // albedo 1, turbidity 9 + 9.596146e-001, + 1.671470e+000, + -8.751538e-001, + 1.679772e+000, + 5.345784e+001, + 3.054520e+001, + // albedo 1, turbidity 10 + 8.640731e-001, + 9.858301e-001, + 1.854956e+000, + -6.798097e+000, + 5.936468e+001, + 3.110255e+001, +}; + +static const double *datasetsXYZ[] = {datasetXYZ1, datasetXYZ2, datasetXYZ3}; + +static const double *datasetsXYZRad[] = {datasetXYZRad1, datasetXYZRad2, datasetXYZRad3}; diff --git a/intern/sky/source/sky_nishita.cpp b/intern/sky/source/sky_nishita.cpp new file mode 100644 index 00000000000..27286ddecac --- /dev/null +++ b/intern/sky/source/sky_nishita.cpp @@ -0,0 +1,367 @@ +/* + * Copyright 2011-2020 Blender Foundation + * + * Licensed under the Apache License, Version 2.0 (the "License"); + * you may not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * http://www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an "AS IS" BASIS, + * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "sky_model.h" +#include "sky_float3.h" + +/* Constants */ +static const float rayleigh_scale = 8000.0f; // Rayleigh scale height (m) +static const float mie_scale = 1200.0f; // Mie scale height (m) +static const float mie_coeff = 2e-5f; // Mie scattering coefficient +static const float mie_G = 0.76f; // aerosols anisotropy +static const float earth_radius = 6360000.0f; // radius of Earth (m) +static const float atmosphere_radius = 6420000.0f; // radius of atmosphere (m) +static const int steps = 32; // segments per primary ray +static const int steps_light = 16; // segments per sun connection ray +static const int num_wavelengths = 21; // number of wavelengths +/* irradiance at top of atmosphere */ +static const float irradiance[] = { + 1.45756829855592995315f, 1.56596305559738380175f, 1.65148449067670455293f, + 1.71496242737209314555f, 1.75797983805020541226f, 1.78256407885924539336f, + 1.79095108475838560302f, 1.78541550133410664714f, 1.76815554864306845317f, + 1.74122069647250410362f, 1.70647127164943679389f, 1.66556087452739887134f, + 1.61993437242451854274f, 1.57083597368892080581f, 1.51932335059305478886f, + 1.46628494965214395407f, 1.41245852740172450623f, 1.35844961970384092709f, + 1.30474913844739281998f, 1.25174963272610817455f, 1.19975998755420620867f}; +/* Rayleigh scattering coefficient */ +static const float rayleigh_coeff[] = { + 0.00005424820087636473f, 0.00004418549866505454f, 0.00003635151910165377f, + 0.00003017929012024763f, 0.00002526320226989157f, 0.00002130859310621843f, + 0.00001809838025320633f, 0.00001547057129129042f, 0.00001330284977336850f, + 0.00001150184784075764f, 0.00000999557429990163f, 0.00000872799973630707f, + 0.00000765513700977967f, 0.00000674217203751443f, 0.00000596134125832052f, + 0.00000529034598065810f, 0.00000471115687557433f, 0.00000420910481110487f, + 0.00000377218381260133f, 0.00000339051255477280f, 0.00000305591531679811f}; +/* Ozone absorption coefficient */ +static const float ozone_coeff[] = { + 0.00000000325126849861f, 0.00000000585395365047f, 0.00000001977191155085f, + 0.00000007309568762914f, 0.00000020084561514287f, 0.00000040383958096161f, + 0.00000063551335912363f, 0.00000096707041180970f, 0.00000154797400424410f, + 0.00000209038647223331f, 0.00000246128056164565f, 0.00000273551299461512f, + 0.00000215125863128643f, 0.00000159051840791988f, 0.00000112356197979857f, + 0.00000073527551487574f, 0.00000046450130357806f, 0.00000033096079921048f, + 0.00000022512612292678f, 0.00000014879129266490f, 0.00000016828623364192f}; +/* CIE XYZ color matching functions */ +static const float cmf_xyz[][3] = {{0.00136800000f, 0.00003900000f, 0.00645000100f}, + {0.01431000000f, 0.00039600000f, 0.06785001000f}, + {0.13438000000f, 0.00400000000f, 0.64560000000f}, + {0.34828000000f, 0.02300000000f, 1.74706000000f}, + {0.29080000000f, 0.06000000000f, 1.66920000000f}, + {0.09564000000f, 0.13902000000f, 0.81295010000f}, + {0.00490000000f, 0.32300000000f, 0.27200000000f}, + {0.06327000000f, 0.71000000000f, 0.07824999000f}, + {0.29040000000f, 0.95400000000f, 0.02030000000f}, + {0.59450000000f, 0.99500000000f, 0.00390000000f}, + {0.91630000000f, 0.87000000000f, 0.00165000100f}, + {1.06220000000f, 0.63100000000f, 0.00080000000f}, + {0.85444990000f, 0.38100000000f, 0.00019000000f}, + {0.44790000000f, 0.17500000000f, 0.00002000000f}, + {0.16490000000f, 0.06100000000f, 0.00000000000f}, + {0.04677000000f, 0.01700000000f, 0.00000000000f}, + {0.01135916000f, 0.00410200000f, 0.00000000000f}, + {0.00289932700f, 0.00104700000f, 0.00000000000f}, + {0.00069007860f, 0.00024920000f, 0.00000000000f}, + {0.00016615050f, 0.00006000000f, 0.00000000000f}, + {0.00004150994f, 0.00001499000f, 0.00000000000f}}; + +static float3 geographical_to_direction(float lat, float lon) +{ + return make_float3(cosf(lat) * cosf(lon), cosf(lat) * sinf(lon), sinf(lat)); +} + +static float3 spec_to_xyz(float *spectrum) +{ + float3 xyz = make_float3(0.0f, 0.0f, 0.0f); + for (int i = 0; i < num_wavelengths; i++) { + xyz.x += cmf_xyz[i][0] * spectrum[i]; + xyz.y += cmf_xyz[i][1] * spectrum[i]; + xyz.z += cmf_xyz[i][2] * spectrum[i]; + } + return xyz * (20 * 683 * 1e-9f); +} + +/* Atmosphere volume models */ + +static float density_rayleigh(float height) +{ + return expf(-height / rayleigh_scale); +} + +static float density_mie(float height) +{ + return expf(-height / mie_scale); +} + +static float density_ozone(float height) +{ + float den = 0.0f; + if (height >= 10000.0f && height < 25000.0f) + den = 1.0f / 15000.0f * height - 2.0f / 3.0f; + else if (height >= 25000 && height < 40000) + den = -(1.0f / 15000.0f * height - 8.0f / 3.0f); + return den; +} + +static float phase_rayleigh(float mu) +{ + return 3.0f / (16.0f * M_PI_F) * (1.0f + sqr(mu)); +} + +static float phase_mie(float mu) +{ + static const float sqr_G = mie_G * mie_G; + + return (3.0f * (1.0f - sqr_G) * (1.0f + sqr(mu))) / + (8.0f * M_PI_F * (2.0f + sqr_G) * powf((1.0f + sqr_G - 2.0f * mie_G * mu), 1.5)); +} + +/* Intersection helpers */ +static bool surface_intersection(float3 pos, float3 dir) +{ + if (dir.z >= 0) + return false; + float t = dot(dir, -pos) / len_squared(dir); + float D = pos.x * pos.x - 2.0f * (-pos.x) * dir.x * t + dir.x * t * dir.x * t + pos.y * pos.y - + 2.0f * (-pos.y) * dir.y * t + (dir.y * t) * (dir.y * t) + pos.z * pos.z - + 2.0f * (-pos.z) * dir.z * t + dir.z * t * dir.z * t; + return (D <= sqr(earth_radius)); +} + +static float3 atmosphere_intersection(float3 pos, float3 dir) +{ + float b = -2.0f * dot(dir, -pos); + float c = len_squared(pos) - sqr(atmosphere_radius); + float t = (-b + sqrtf(b * b - 4.0f * c)) / 2.0f; + return make_float3(pos.x + dir.x * t, pos.y + dir.y * t, pos.z + dir.z * t); +} + +static float3 ray_optical_depth(float3 ray_origin, float3 ray_dir) +{ + /* This code computes the optical depth along a ray through the atmosphere. */ + float3 ray_end = atmosphere_intersection(ray_origin, ray_dir); + float ray_length = distance(ray_origin, ray_end); + + /* To compute the optical depth, we step along the ray in segments and + * accumulate the optical depth along each segment. */ + float segment_length = ray_length / steps_light; + float3 segment = segment_length * ray_dir; + + /* Instead of tracking the transmission spectrum across all wavelengths directly, + * we use the fact that the density always has the same spectrum for each type of + * scattering, so we split the density into a constant spectrum and a factor and + * only track the factors. */ + float3 optical_depth = make_float3(0.0f, 0.0f, 0.0f); + + /* The density of each segment is evaluated at its middle. */ + float3 P = ray_origin + 0.5f * segment; + for (int i = 0; i < steps_light; i++) { + /* Compute height above sea level. */ + float height = len(P) - earth_radius; + + /* Accumulate optical depth of this segment (density is assumed to be constant along it). */ + float3 density = make_float3( + density_rayleigh(height), density_mie(height), density_ozone(height)); + optical_depth += segment_length * density; + + /* Advance along ray. */ + P += segment; + } + + return optical_depth; +} + +/* Single Scattering implementation */ +static void single_scattering(float3 ray_dir, + float3 sun_dir, + float3 ray_origin, + float air_density, + float dust_density, + float ozone_density, + float *r_spectrum) +{ + /* This code computes single-inscattering along a ray through the atmosphere. */ + float3 ray_end = atmosphere_intersection(ray_origin, ray_dir); + float ray_length = distance(ray_origin, ray_end); + + /* To compute the inscattering, we step along the ray in segments and accumulate + * the inscattering as well as the optical depth along each segment. */ + float segment_length = ray_length / steps; + float3 segment = segment_length * ray_dir; + + /* Instead of tracking the transmission spectrum across all wavelengths directly, + * we use the fact that the density always has the same spectrum for each type of + * scattering, so we split the density into a constant spectrum and a factor and + * only track the factors. */ + float3 optical_depth = make_float3(0.0f, 0.0f, 0.0f); + + /* Zero out light accumulation. */ + for (int wl = 0; wl < num_wavelengths; wl++) { + r_spectrum[wl] = 0.0f; + } + + /* Compute phase function for scattering and the density scale factor. */ + float mu = dot(ray_dir, sun_dir); + float3 phase_function = make_float3(phase_rayleigh(mu), phase_mie(mu), 0.0f); + float3 density_scale = make_float3(air_density, dust_density, ozone_density); + + /* The density and in-scattering of each segment is evaluated at its middle. */ + float3 P = ray_origin + 0.5f * segment; + for (int i = 0; i < steps; i++) { + /* Compute height above sea level. */ + float height = len(P) - earth_radius; + + /* Evaluate and accumulate optical depth along the ray. */ + float3 density = density_scale * make_float3(density_rayleigh(height), + density_mie(height), + density_ozone(height)); + optical_depth += segment_length * density; + + /* If the earth isn't in the way, evaluate inscattering from the sun. */ + if (!surface_intersection(P, sun_dir)) { + float3 light_optical_depth = density_scale * ray_optical_depth(P, sun_dir); + float3 total_optical_depth = optical_depth + light_optical_depth; + + /* attenuation of light */ + for (int wl = 0; wl < num_wavelengths; wl++) { + float3 extinction_density = total_optical_depth * make_float3(rayleigh_coeff[wl], + 1.11f * mie_coeff, + ozone_coeff[wl]); + float attenuation = expf(-reduce_add(extinction_density)); + + float3 scattering_density = density * make_float3(rayleigh_coeff[wl], mie_coeff, 0.0f); + + /* The total inscattered radiance from one segment is: + * Tr(A<->B) * Tr(B<->C) * sigma_s * phase * L * segment_length + * + * These terms are: + * Tr(A<->B): Transmission from start to scattering position (tracked in optical_depth) + * Tr(B<->C): Transmission from scattering position to light (computed in + * ray_optical_depth) sigma_s: Scattering density phase: Phase function of the scattering + * type (Rayleigh or Mie) L: Radiance coming from the light source segment_length: The + * length of the segment + * + * The code here is just that, with a bit of additional optimization to not store full + * spectra for the optical depth. + */ + r_spectrum[wl] += attenuation * reduce_add(phase_function * scattering_density) * + irradiance[wl] * segment_length; + } + } + + /* Advance along ray. */ + P += segment; + } +} + +/* calculate texture array */ +void SKY_nishita_skymodel_precompute_texture(float *pixels, + int stride, + int start_y, + int end_y, + int width, + int height, + float sun_elevation, + float altitude, + float air_density, + float dust_density, + float ozone_density) +{ + /* calculate texture pixels */ + float spectrum[num_wavelengths]; + int half_width = width / 2; + float3 cam_pos = make_float3(0, 0, earth_radius + altitude); + float3 sun_dir = geographical_to_direction(sun_elevation, 0.0f); + + float latitude_step = M_PI_2_F / height; + float longitude_step = M_2PI_F / width; + + for (int y = start_y; y < end_y; y++) { + float latitude = latitude_step * y; + + float *pixel_row = pixels + (y * width) * stride; + for (int x = 0; x < half_width; x++) { + float longitude = longitude_step * x - M_PI_F; + + float3 dir = geographical_to_direction(latitude, longitude); + single_scattering(dir, sun_dir, cam_pos, air_density, dust_density, ozone_density, spectrum); + float3 xyz = spec_to_xyz(spectrum); + + pixel_row[x * stride + 0] = xyz.x; + pixel_row[x * stride + 1] = xyz.y; + pixel_row[x * stride + 2] = xyz.z; + int mirror_x = width - x - 1; + pixel_row[mirror_x * stride + 0] = xyz.x; + pixel_row[mirror_x * stride + 1] = xyz.y; + pixel_row[mirror_x * stride + 2] = xyz.z; + } + } +} + +/* Sun disc */ +static void sun_radiation(float3 cam_dir, + float altitude, + float air_density, + float dust_density, + float solid_angle, + float *r_spectrum) +{ + float3 cam_pos = make_float3(0, 0, earth_radius + altitude); + float3 optical_depth = ray_optical_depth(cam_pos, cam_dir); + + /* Compute final spectrum. */ + for (int i = 0; i < num_wavelengths; i++) { + /* Combine spectra and the optical depth into transmittance. */ + float transmittance = rayleigh_coeff[i] * optical_depth.x * air_density + + 1.11f * mie_coeff * optical_depth.y * dust_density; + r_spectrum[i] = (irradiance[i] / solid_angle) * expf(-transmittance); + } +} + +void SKY_nishita_skymodel_precompute_sun(float sun_elevation, + float angular_diameter, + float altitude, + float air_density, + float dust_density, + float *pixel_bottom, + float *pixel_top) +{ + /* definitions */ + float half_angular = angular_diameter / 2.0f; + float solid_angle = M_2PI_F * (1.0f - cosf(half_angular)); + float spectrum[num_wavelengths]; + float bottom = sun_elevation - half_angular; + float top = sun_elevation + half_angular; + float elevation_bottom, elevation_top; + float3 pix_bottom, pix_top, sun_dir; + + /* compute 2 pixels for sun disc */ + elevation_bottom = (bottom > 0.0f) ? bottom : 0.0f; + elevation_top = (top > 0.0f) ? top : 0.0f; + sun_dir = geographical_to_direction(elevation_bottom, 0.0f); + sun_radiation(sun_dir, altitude, air_density, dust_density, solid_angle, spectrum); + pix_bottom = spec_to_xyz(spectrum); + sun_dir = geographical_to_direction(elevation_top, 0.0f); + sun_radiation(sun_dir, altitude, air_density, dust_density, solid_angle, spectrum); + pix_top = spec_to_xyz(spectrum); + + /* store pixels */ + pixel_bottom[0] = pix_bottom.x; + pixel_bottom[1] = pix_bottom.y; + pixel_bottom[2] = pix_bottom.z; + pixel_top[0] = pix_top.x; + pixel_top[1] = pix_top.y; + pixel_top[2] = pix_top.z; +} |