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greg |
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#ifndef lint |
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static const char RCSid[] = "$Id$"; |
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#endif |
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/* Copyright (c) 1994 *Fraunhofer Institut for Solar Energy Systems |
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* Oltmannstr 5, D-79100 Freiburg, Germany |
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* *Agence de l'Environnement et de la Maitrise de l'Energie |
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* Centre de Valbonne, 500 route des Lucioles, 06565 Sophia Antipolis Cedex, France |
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* *BOUYGUES |
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* 1 Avenue Eugene Freyssinet, Saint-Quentin-Yvelines, France |
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*/ |
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/* |
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* gendaylit.c program to generate the angular distribution of the daylight. |
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* Our zenith is along the Z-axis, the X-axis |
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* points east, and the Y-axis points north. |
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*/ |
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#include <stdio.h> |
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#include <string.h> |
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#include <math.h> |
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#include <stdlib.h> |
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#include "rtio.h" |
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#include "fvect.h" |
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#include "color.h" |
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#include "paths.h" |
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extern int jdate(int month, int day); |
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extern double stadj(int jd); |
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extern double sdec(int jd); |
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extern double salt(double sd, double st); |
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extern double sazi(double sd, double st); |
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double normsc(); |
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#define DATFILE "coeff_perez.dat" |
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/* Perez sky parametrization : epsilon and delta calculations from the direct and diffuse irradiances */ |
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double sky_brightness(); |
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double sky_clearness(); |
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/* calculation of the direct and diffuse components from the Perez parametrization */ |
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double diffus_irradiance_from_sky_brightness(); |
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double direct_irradiance_from_sky_clearness(); |
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/* Perez global horizontal, diffuse horizontal and direct normal luminous efficacy models : input w(cm)=2cm, solar zenith angle(degrees); output efficacy(lm/W) */ |
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double glob_h_effi_PEREZ(); |
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double glob_h_diffuse_effi_PEREZ(); |
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double direct_n_effi_PEREZ(); |
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/*likelihood check of the epsilon, delta, direct and diffuse components*/ |
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void check_parametrization(); |
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void check_irradiances(); |
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void check_illuminances(); |
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void illu_to_irra_index(); |
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/* Perez sky luminance model */ |
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int lect_coeff_perez(char *filename,float **coeff_perez); |
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double calc_rel_lum_perez(double dzeta,double gamma,double Z, |
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double epsilon,double Delta,float *coeff_perez); |
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/* coefficients for the sky luminance perez model */ |
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void coeff_lum_perez(double Z, double epsilon, double Delta, float *coeff_perez); |
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double radians(double degres); |
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double degres(double radians); |
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void theta_phi_to_dzeta_gamma(double theta,double phi,double *dzeta,double *gamma, double Z); |
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double integ_lv(float *lv,float *theta); |
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float *theta_ordered(char *filename); |
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float *phi_ordered(char *filename); |
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/* astronomy and geometry*/ |
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double get_eccentricity(); |
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double air_mass(); |
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double get_angle_sun_direction(double sun_zenith, double sun_azimut, double direction_zenith, double direction_azimut); |
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/* date*/ |
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int jdate(int month, int day); |
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/* sun calculation constants */ |
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extern double s_latitude; |
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extern double s_longitude; |
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extern double s_meridian; |
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const double AU = 149597890E3; |
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const double solar_constant_e = 1367; /* solar constant W/m^2 */ |
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const double solar_constant_l = 127.5; /* solar constant klux */ |
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const double half_sun_angle = 0.2665; |
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const double half_direct_angle = 2.85; |
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const double skyclearinf = 1.000; /* limitations for the variation of the Perez parameters */ |
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const double skyclearsup = 12.1; |
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const double skybriginf = 0.01; |
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const double skybrigsup = 0.6; |
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/* required values */ |
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int month, day; /* date */ |
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double hour; /* time */ |
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int tsolar; /* 0=standard, 1=solar */ |
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double altitude, azimuth; /* or solar angles */ |
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/* definition of the sky conditions through the Perez parametrization */ |
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double skyclearness, skybrightness; |
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double solarradiance; /*radiance of the sun disk and of the circumsolar area*/ |
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double diffusilluminance, directilluminance, diffusirradiance, directirradiance; |
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double sunzenith, daynumber=150, atm_preci_water=2; |
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double diffnormalization, dirnormalization; |
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double *c_perez; |
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int output=0; /*define the unit of the output (sky luminance or radiance): visible watt=0, solar watt=1, lumen=2*/ |
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int input=0; /*define the input for the calulation*/ |
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/* default values */ |
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int cloudy = 0; /* 1=standard, 2=uniform */ |
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int dosun = 1; |
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double zenithbr = -1.0; |
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double betaturbidity = 0.1; |
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double gprefl = 0.2; |
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int S_INTER=0; |
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/* computed values */ |
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double sundir[3]; |
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double groundbr; |
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double F2; |
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double solarbr = 0.0; |
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int u_solar = 0; /* -1=irradiance, 1=radiance */ |
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char *progname; |
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char errmsg[128]; |
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main(argc, argv) |
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int argc; |
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char *argv[]; |
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{ |
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int i; |
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progname = argv[0]; |
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if (argc == 2 && !strcmp(argv[1], "-defaults")) { |
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printdefaults(); |
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exit(0); |
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} |
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if (argc < 4) |
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userror("arg count"); |
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if (!strcmp(argv[1], "-ang")) { |
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altitude = atof(argv[2]) * (M_PI/180); |
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azimuth = atof(argv[3]) * (M_PI/180); |
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month = 0; |
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} else { |
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month = atoi(argv[1]); |
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if (month < 1 || month > 12) |
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userror("bad month"); |
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day = atoi(argv[2]); |
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if (day < 1 || day > 31) |
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userror("bad day"); |
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hour = atof(argv[3]); |
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if (hour < 0 || hour >= 24) |
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userror("bad hour"); |
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tsolar = argv[3][0] == '+'; |
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} |
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for (i = 4; i < argc; i++) |
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if (argv[i][0] == '-' || argv[i][0] == '+') |
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switch (argv[i][1]) { |
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case 's': |
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cloudy = 0; |
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dosun = argv[i][0] == '+'; |
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break; |
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case 'r': |
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case 'R': |
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u_solar = argv[i][1] == 'R' ? -1 : 1; |
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solarbr = atof(argv[++i]); |
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break; |
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case 'c': |
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cloudy = argv[i][0] == '+' ? 2 : 1; |
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dosun = 0; |
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break; |
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case 't': |
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betaturbidity = atof(argv[++i]); |
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break; |
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case 'b': |
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zenithbr = atof(argv[++i]); |
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break; |
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case 'g': |
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gprefl = atof(argv[++i]); |
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break; |
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case 'a': |
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s_latitude = atof(argv[++i]) * (M_PI/180); |
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break; |
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case 'o': |
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s_longitude = atof(argv[++i]) * (M_PI/180); |
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break; |
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case 'm': |
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s_meridian = atof(argv[++i]) * (M_PI/180); |
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break; |
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case 'O': |
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output = atof(argv[++i]); /*define the unit of the output of the program : |
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sky and sun luminance/radiance (0==W visible, 1==W solar radiation, 2==lm) |
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default is set to 0*/ |
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break; |
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case 'P': |
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input = 0; /* Perez parameters: epsilon, delta */ |
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skyclearness = atof(argv[++i]); |
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skybrightness = atof(argv[++i]); |
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break; |
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case 'W': /* direct normal Irradiance [W/m^2] */ |
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input = 1; /* diffuse horizontal Irrad. [W/m^2] */ |
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directirradiance = atof(argv[++i]); |
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diffusirradiance = atof(argv[++i]); |
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break; |
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case 'L': /* direct normal Illuminance [Lux] */ |
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input = 2; /* diffuse horizontal Ill. [Lux] */ |
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directilluminance = atof(argv[++i]); |
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diffusilluminance = atof(argv[++i]); |
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break; |
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case 'G': /* direct horizontal Irradiance [W/m^2] */ |
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input = 3; /* diffuse horizontal Irrad. [W/m^2] */ |
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directirradiance = atof(argv[++i]); |
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diffusirradiance = atof(argv[++i]); |
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break; |
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default: |
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sprintf(errmsg, "unknown option: %s", argv[i]); |
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userror(errmsg); |
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} |
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else |
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userror("bad option"); |
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if (fabs(s_meridian-s_longitude) > 30*M_PI/180) |
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fprintf(stderr, |
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"%s: warning: %.1f hours btwn. standard meridian and longitude\n", |
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progname, (s_longitude-s_meridian)*12/M_PI); |
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/* allocation dynamique de memoire pour les pointeurs */ |
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if ( (c_perez = malloc(5*sizeof(double))) == NULL ) |
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{ |
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fprintf(stderr,"Out of memory error in function main !"); |
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exit(1); |
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} |
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printhead(argc, argv); |
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computesky(); |
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printsky(); |
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exit(0); |
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} |
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computesky() /* compute sky parameters */ |
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{ |
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/* new variables */ |
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int j, i; |
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float *lv_mod; /* 145 luminance values*/ |
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/* 145 directions for the calculation of the normalization coefficient, coefficient Perez model */ |
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float *theta_o, *phi_o, *coeff_perez; |
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double dzeta, gamma; |
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double diffusion; |
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double normfactor; |
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/* compute solar direction */ |
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if (month) { /* from date and time */ |
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int jd; |
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double sd, st; |
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jd = jdate(month, day); /* Julian date */ |
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sd = sdec(jd); /* solar declination */ |
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if (tsolar) /* solar time */ |
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st = hour; |
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else |
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st = hour + stadj(jd); |
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altitude = salt(sd, st); |
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azimuth = sazi(sd, st); |
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daynumber = (double)jdate(month, day); |
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} |
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if (!cloudy && altitude > 87.*M_PI/180.) { |
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fprintf(stderr, |
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"%s: warning - sun too close to zenith, reducing altitude to 87 degrees\n", |
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progname); |
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printf( |
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"# warning - sun too close to zenith, reducing altitude to 87 degrees\n"); |
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altitude = 87.*M_PI/180.; |
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} |
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sundir[0] = -sin(azimuth)*cos(altitude); |
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sundir[1] = -cos(azimuth)*cos(altitude); |
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sundir[2] = sin(altitude); |
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/* calculation for the new functions */ |
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sunzenith = 90 - altitude*180/M_PI; |
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/* compute the inputs for the calculation of the light distribution over the sky*/ |
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if (input==0) |
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{ |
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check_parametrization(); |
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diffusirradiance = diffus_irradiance_from_sky_brightness(); /*diffuse horizontal irradiance*/ |
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directirradiance = direct_irradiance_from_sky_clearness(); |
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check_irradiances(); |
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if (output==0 || output==2) |
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{ |
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diffusilluminance = diffusirradiance*glob_h_diffuse_effi_PEREZ();/*diffuse horizontal illuminance*/ |
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directilluminance = directirradiance*direct_n_effi_PEREZ(); |
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check_illuminances(); |
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} |
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} |
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else if (input==1) |
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{ |
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check_irradiances(); |
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skybrightness = sky_brightness(); |
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skyclearness = sky_clearness(); |
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check_parametrization(); |
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348 |
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if (output==0 || output==2) |
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{ |
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diffusilluminance = diffusirradiance*glob_h_diffuse_effi_PEREZ();/*diffuse horizontal illuminance*/ |
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directilluminance = directirradiance*direct_n_effi_PEREZ(); |
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check_illuminances(); |
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} |
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} |
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else if (input==2) |
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{ |
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check_illuminances(); |
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illu_to_irra_index(); |
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check_parametrization(); |
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} |
364 |
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else if (input==3) |
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{ |
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if (altitude<=0) |
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{ |
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fprintf(stderr, "solar zenith angle larger than 90� \n the models used are not more valid\n"); |
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exit(1); |
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} |
373 |
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directirradiance=directirradiance/sin(altitude); |
375 |
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check_irradiances(); |
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skybrightness = sky_brightness(); |
377 |
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skyclearness = sky_clearness(); |
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check_parametrization(); |
379 |
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380 |
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if (output==0 || output==2) |
381 |
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{ |
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diffusilluminance = diffusirradiance*glob_h_diffuse_effi_PEREZ();/*diffuse horizontal illuminance*/ |
383 |
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directilluminance = directirradiance*direct_n_effi_PEREZ(); |
384 |
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check_illuminances(); |
385 |
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} |
386 |
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387 |
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} |
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389 |
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390 |
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else {fprintf(stderr,"error in giving the input arguments"); exit(1);} |
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392 |
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393 |
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394 |
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/* normalization factor for the relative sky luminance distribution, diffuse part*/ |
395 |
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396 |
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/* allocation dynamique de memoire pour les pointeurs */ |
397 |
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if ( (coeff_perez = malloc(8*20*sizeof(float))) == NULL ) |
398 |
|
|
{ |
399 |
|
|
fprintf(stderr,"Out of memory error in function main !"); |
400 |
|
|
exit(1); |
401 |
|
|
} |
402 |
|
|
|
403 |
|
|
/* read the coefficients for the Perez sky luminance model */ |
404 |
|
|
if (lect_coeff_perez(DATFILE, &coeff_perez) > 0) |
405 |
|
|
{ |
406 |
|
|
fprintf(stderr,"lect_coeff_perez does not work\n"); |
407 |
|
|
exit(2); |
408 |
|
|
} |
409 |
|
|
|
410 |
|
|
if ( (lv_mod = malloc(145*sizeof(float))) == NULL) |
411 |
|
|
{ |
412 |
|
|
fprintf(stderr,"Out of memory in function main"); |
413 |
|
|
exit(1); |
414 |
|
|
} |
415 |
|
|
|
416 |
|
|
/* read the angles */ |
417 |
|
|
theta_o = theta_ordered("defangle.dat"); |
418 |
|
|
phi_o = phi_ordered("defangle.dat"); |
419 |
|
|
|
420 |
|
|
/* parameters for the perez model */ |
421 |
|
|
coeff_lum_perez(radians(sunzenith), skyclearness, skybrightness, coeff_perez); |
422 |
|
|
|
423 |
|
|
/*calculation of the modelled luminance */ |
424 |
|
|
for (j=0;j<145;j++) |
425 |
|
|
{ |
426 |
|
|
theta_phi_to_dzeta_gamma(radians(*(theta_o+j)),radians(*(phi_o+j)),&dzeta,&gamma,radians(sunzenith)); |
427 |
|
|
*(lv_mod+j) = calc_rel_lum_perez(dzeta,gamma,radians(sunzenith),skyclearness,skybrightness,coeff_perez); |
428 |
|
|
/*printf("theta, phi, lv_mod %lf\t %lf\t %lf\n", *(theta_o+j),*(phi_o+j),*(lv_mod+j));*/ |
429 |
|
|
} |
430 |
|
|
|
431 |
|
|
/* integration of luminance for the normalization factor, diffuse part of the sky*/ |
432 |
|
|
diffnormalization = integ_lv(lv_mod, theta_o); |
433 |
|
|
/*printf("perez integration %lf\n", diffnormalization);*/ |
434 |
|
|
|
435 |
|
|
|
436 |
|
|
|
437 |
|
|
|
438 |
|
|
/*normalization coefficient in lumen or in watt*/ |
439 |
|
|
if (output==0) |
440 |
|
|
{ |
441 |
|
|
diffnormalization = diffusilluminance/diffnormalization/WHTEFFICACY; |
442 |
|
|
} |
443 |
|
|
else if (output==1) |
444 |
|
|
{ |
445 |
|
|
diffnormalization = diffusirradiance/diffnormalization; |
446 |
|
|
} |
447 |
|
|
else if (output==2) |
448 |
|
|
{ |
449 |
|
|
diffnormalization = diffusilluminance/diffnormalization; |
450 |
|
|
} |
451 |
|
|
|
452 |
|
|
else {fprintf(stderr,"output argument : wrong number"); exit(1);} |
453 |
|
|
|
454 |
|
|
|
455 |
|
|
|
456 |
|
|
|
457 |
|
|
/* calculation for the solar source */ |
458 |
|
|
if (output==0) |
459 |
|
|
solarradiance = directilluminance/(2*M_PI*(1-cos(half_sun_angle*M_PI/180)))/WHTEFFICACY; |
460 |
|
|
|
461 |
|
|
else if (output==1) |
462 |
|
|
solarradiance = directirradiance/(2*M_PI*(1-cos(half_sun_angle*M_PI/180))); |
463 |
|
|
|
464 |
|
|
else |
465 |
|
|
solarradiance = directilluminance/(2*M_PI*(1-cos(half_sun_angle*M_PI/180))); |
466 |
|
|
|
467 |
|
|
|
468 |
|
|
|
469 |
|
|
|
470 |
|
|
/* Compute the ground radiance */ |
471 |
|
|
zenithbr=calc_rel_lum_perez(0.0,radians(sunzenith),radians(sunzenith),skyclearness,skybrightness,coeff_perez); |
472 |
|
|
zenithbr*=diffnormalization; |
473 |
|
|
fprintf(stderr, "gendaylit : the actual zenith radiance(W/m^2/sr) or luminance(cd/m^2) is : %.0lf\n", zenithbr); |
474 |
|
|
|
475 |
|
|
if (skyclearness==1) |
476 |
|
|
normfactor = 0.777778; |
477 |
|
|
|
478 |
|
|
if (skyclearness>=6) |
479 |
|
|
{ |
480 |
|
|
F2 = 0.274*(0.91 + 10.0*exp(-3.0*(M_PI/2.0-altitude)) + 0.45*sundir[2]*sundir[2]); |
481 |
|
|
normfactor = normsc()/F2/M_PI; |
482 |
|
|
} |
483 |
|
|
|
484 |
|
|
if ( (skyclearness>1) && (skyclearness<6) ) |
485 |
|
|
{ |
486 |
|
|
S_INTER=1; |
487 |
|
|
F2 = (2.739 + .9891*sin(.3119+2.6*altitude)) * exp(-(M_PI/2.0-altitude)*(.4441+1.48*altitude)); |
488 |
|
|
normfactor = normsc()/F2/M_PI; |
489 |
|
|
} |
490 |
|
|
|
491 |
|
|
groundbr = zenithbr*normfactor; |
492 |
|
|
printf("# Ground ambient level: %.1f\n", groundbr); |
493 |
|
|
|
494 |
|
|
if (dosun&&(skyclearness>1)) |
495 |
|
|
groundbr += 6.8e-5/M_PI*solarradiance*sundir[2]; |
496 |
|
|
|
497 |
|
|
groundbr *= gprefl; |
498 |
|
|
|
499 |
|
|
|
500 |
|
|
|
501 |
|
|
return; |
502 |
|
|
} |
503 |
|
|
|
504 |
|
|
|
505 |
|
|
|
506 |
|
|
|
507 |
|
|
|
508 |
|
|
|
509 |
|
|
|
510 |
|
|
printsky() /* print out sky */ |
511 |
|
|
{ |
512 |
|
|
if (dosun&&(skyclearness>1)) |
513 |
|
|
{ |
514 |
|
|
printf("\nvoid light solar\n"); |
515 |
|
|
printf("0\n0\n"); |
516 |
|
|
printf("3 %.3e %.3e %.3e\n", solarradiance, solarradiance, solarradiance); |
517 |
|
|
printf("\nsolar source sun\n"); |
518 |
|
|
printf("0\n0\n"); |
519 |
|
|
printf("4 %f %f %f %f\n", sundir[0], sundir[1], sundir[2], 2*half_sun_angle); |
520 |
|
|
} |
521 |
|
|
|
522 |
|
|
if (dosun&&(skyclearness==1)) |
523 |
|
|
{ |
524 |
|
|
printf("\nvoid light solar\n"); |
525 |
|
|
printf("0\n0\n"); |
526 |
|
|
printf("3 0.0 0.0 0.0\n"); |
527 |
|
|
printf("\nsolar source sun\n"); |
528 |
|
|
printf("0\n0\n"); |
529 |
|
|
printf("4 %f %f %f %f\n", sundir[0], sundir[1], sundir[2], 2*half_sun_angle); |
530 |
|
|
} |
531 |
|
|
|
532 |
|
|
|
533 |
|
|
printf("\nvoid brightfunc skyfunc\n"); |
534 |
|
|
printf("2 skybright perezlum.cal\n"); |
535 |
|
|
printf("0\n"); |
536 |
|
|
printf("10 %.3e %.3e %lf %lf %lf %lf %lf %f %f %f \n", diffnormalization, groundbr, |
537 |
|
|
*(c_perez+0),*(c_perez+1),*(c_perez+2),*(c_perez+3),*(c_perez+4), |
538 |
|
|
sundir[0], sundir[1], sundir[2]); |
539 |
|
|
} |
540 |
|
|
|
541 |
|
|
|
542 |
|
|
printdefaults() /* print default values */ |
543 |
|
|
{ |
544 |
|
|
printf("-g %f\t\t\t# Ground plane reflectance\n", gprefl); |
545 |
|
|
if (zenithbr > 0.0) |
546 |
|
|
printf("-b %f\t\t\t# Zenith radiance (watts/ster/m^2\n", zenithbr); |
547 |
|
|
else |
548 |
|
|
printf("-t %f\t\t\t# Atmospheric betaturbidity\n", betaturbidity); |
549 |
|
|
printf("-a %f\t\t\t# Site latitude (degrees)\n", s_latitude*(180/M_PI)); |
550 |
|
|
printf("-o %f\t\t\t# Site longitude (degrees)\n", s_longitude*(180/M_PI)); |
551 |
|
|
printf("-m %f\t\t\t# Standard meridian (degrees)\n", s_meridian*(180/M_PI)); |
552 |
|
|
} |
553 |
|
|
|
554 |
|
|
|
555 |
|
|
userror(msg) /* print usage error and quit */ |
556 |
|
|
char *msg; |
557 |
|
|
{ |
558 |
|
|
if (msg != NULL) |
559 |
|
|
fprintf(stderr, "%s: Use error - %s\n", progname, msg); |
560 |
|
|
fprintf(stderr, "Usage: %s month day hour [-P|-W|-L] direct_value diffus_value [options]\n", progname); |
561 |
|
|
fprintf(stderr, "or : %s -ang altitude azimuth [-P|-W|-L] direct_value diffus_value [options]\n", progname); |
562 |
|
|
fprintf(stderr, " -P epsilon delta (these are the Perez parameters) \n"); |
563 |
|
|
fprintf(stderr, " -W direct-normal-irradiance diffuse-horizontal-irradiance (W/m^2)\n"); |
564 |
|
|
fprintf(stderr, " -L direct-normal-illuminance diffuse-horizontal-illuminance (lux)\n"); |
565 |
|
|
fprintf(stderr, " -G direct-horizontal-irradiance diffuse-horizontal-irradiance (W/m^2)\n"); |
566 |
|
|
fprintf(stderr, " -O [0|1|2] (0=output in W/m^2/sr visible, 1=output in W/m^2/sr solar, 2=output in candela/m^2), default is 0 \n"); |
567 |
|
|
exit(1); |
568 |
|
|
} |
569 |
|
|
|
570 |
|
|
|
571 |
|
|
|
572 |
|
|
double |
573 |
|
|
normsc() /* compute normalization factor (E0*F2/L0) */ |
574 |
|
|
{ |
575 |
|
|
static double nfc[2][5] = { |
576 |
|
|
/* clear sky approx. */ |
577 |
|
|
{2.766521, 0.547665, -0.369832, 0.009237, 0.059229}, |
578 |
|
|
/* intermediate sky approx. */ |
579 |
|
|
{3.5556, -2.7152, -1.3081, 1.0660, 0.60227}, |
580 |
|
|
}; |
581 |
|
|
register double *nf; |
582 |
|
|
double x, nsc; |
583 |
|
|
register int i; |
584 |
|
|
/* polynomial approximation */ |
585 |
|
|
nf = nfc[S_INTER]; |
586 |
|
|
x = (altitude - M_PI/4.0)/(M_PI/4.0); |
587 |
|
|
nsc = nf[i=4]; |
588 |
|
|
while (i--) |
589 |
|
|
nsc = nsc*x + nf[i]; |
590 |
|
|
|
591 |
|
|
return(nsc); |
592 |
|
|
} |
593 |
|
|
|
594 |
|
|
|
595 |
|
|
|
596 |
|
|
printhead(ac, av) /* print command header */ |
597 |
|
|
register int ac; |
598 |
|
|
register char **av; |
599 |
|
|
{ |
600 |
|
|
putchar('#'); |
601 |
|
|
while (ac--) { |
602 |
|
|
putchar(' '); |
603 |
|
|
fputs(*av++, stdout); |
604 |
|
|
} |
605 |
|
|
putchar('\n'); |
606 |
|
|
} |
607 |
|
|
|
608 |
|
|
|
609 |
|
|
|
610 |
|
|
|
611 |
|
|
|
612 |
|
|
|
613 |
|
|
|
614 |
|
|
|
615 |
|
|
|
616 |
|
|
|
617 |
|
|
|
618 |
|
|
|
619 |
|
|
/* Perez models */ |
620 |
|
|
|
621 |
|
|
/* Perez global horizontal luminous efficacy model */ |
622 |
|
|
double glob_h_effi_PEREZ() |
623 |
|
|
{ |
624 |
|
|
|
625 |
|
|
double value; |
626 |
|
|
double category_bounds[10], a[10], b[10], c[10], d[10]; |
627 |
|
|
int category_total_number, category_number, i; |
628 |
|
|
|
629 |
|
|
|
630 |
|
|
if (skyclearness<skyclearinf || skyclearness>skyclearsup || skybrightness<=skybriginf || skybrightness>skybrigsup) |
631 |
|
|
fprintf(stderr, "Warning : skyclearness or skybrightness out of range ; \n Check your input parameters\n"); |
632 |
|
|
|
633 |
|
|
/* initialize category bounds (clearness index bounds) */ |
634 |
|
|
|
635 |
|
|
category_total_number = 8; |
636 |
|
|
|
637 |
|
|
category_bounds[1] = 1; |
638 |
|
|
category_bounds[2] = 1.065; |
639 |
|
|
category_bounds[3] = 1.230; |
640 |
|
|
category_bounds[4] = 1.500; |
641 |
|
|
category_bounds[5] = 1.950; |
642 |
|
|
category_bounds[6] = 2.800; |
643 |
|
|
category_bounds[7] = 4.500; |
644 |
|
|
category_bounds[8] = 6.200; |
645 |
|
|
category_bounds[9] = 12.01; |
646 |
|
|
|
647 |
|
|
|
648 |
|
|
/* initialize model coefficients */ |
649 |
|
|
a[1] = 96.63; |
650 |
|
|
a[2] = 107.54; |
651 |
|
|
a[3] = 98.73; |
652 |
|
|
a[4] = 92.72; |
653 |
|
|
a[5] = 86.73; |
654 |
|
|
a[6] = 88.34; |
655 |
|
|
a[7] = 78.63; |
656 |
|
|
a[8] = 99.65; |
657 |
|
|
|
658 |
|
|
b[1] = -0.47; |
659 |
|
|
b[2] = 0.79; |
660 |
|
|
b[3] = 0.70; |
661 |
|
|
b[4] = 0.56; |
662 |
|
|
b[5] = 0.98; |
663 |
|
|
b[6] = 1.39; |
664 |
|
|
b[7] = 1.47; |
665 |
|
|
b[8] = 1.86; |
666 |
|
|
|
667 |
|
|
c[1] = 11.50; |
668 |
|
|
c[2] = 1.79; |
669 |
|
|
c[3] = 4.40; |
670 |
|
|
c[4] = 8.36; |
671 |
|
|
c[5] = 7.10; |
672 |
|
|
c[6] = 6.06; |
673 |
|
|
c[7] = 4.93; |
674 |
|
|
c[8] = -4.46; |
675 |
|
|
|
676 |
|
|
d[1] = -9.16; |
677 |
|
|
d[2] = -1.19; |
678 |
|
|
d[3] = -6.95; |
679 |
|
|
d[4] = -8.31; |
680 |
|
|
d[5] = -10.94; |
681 |
|
|
d[6] = -7.60; |
682 |
|
|
d[7] = -11.37; |
683 |
|
|
d[8] = -3.15; |
684 |
|
|
|
685 |
|
|
|
686 |
|
|
|
687 |
|
|
|
688 |
|
|
for (i=1; i<=category_total_number; i++) |
689 |
|
|
{ |
690 |
|
|
if ( (skyclearness >= category_bounds[i]) && (skyclearness < category_bounds[i+1]) ) |
691 |
|
|
category_number = i; |
692 |
|
|
} |
693 |
|
|
|
694 |
|
|
value = a[category_number] + b[category_number]*atm_preci_water + |
695 |
|
|
c[category_number]*cos(sunzenith*M_PI/180) + d[category_number]*log(skybrightness); |
696 |
|
|
|
697 |
|
|
return(value); |
698 |
|
|
} |
699 |
|
|
|
700 |
|
|
|
701 |
|
|
/* global horizontal diffuse efficacy model, according to PEREZ */ |
702 |
|
|
double glob_h_diffuse_effi_PEREZ() |
703 |
|
|
{ |
704 |
|
|
double value; |
705 |
|
|
double category_bounds[10], a[10], b[10], c[10], d[10]; |
706 |
|
|
int category_total_number, category_number, i; |
707 |
|
|
|
708 |
|
|
|
709 |
|
|
if (skyclearness<skyclearinf || skyclearness>skyclearsup || skybrightness<=skybriginf || skybrightness>skybrigsup) |
710 |
|
|
fprintf(stderr, "Warning : skyclearness or skybrightness out of range ; \n Check your input parameters\n"); |
711 |
|
|
|
712 |
|
|
/* initialize category bounds (clearness index bounds) */ |
713 |
|
|
|
714 |
|
|
category_total_number = 8; |
715 |
|
|
|
716 |
|
|
category_bounds[1] = 1; |
717 |
|
|
category_bounds[2] = 1.065; |
718 |
|
|
category_bounds[3] = 1.230; |
719 |
|
|
category_bounds[4] = 1.500; |
720 |
|
|
category_bounds[5] = 1.950; |
721 |
|
|
category_bounds[6] = 2.800; |
722 |
|
|
category_bounds[7] = 4.500; |
723 |
|
|
category_bounds[8] = 6.200; |
724 |
|
|
category_bounds[9] = 12.01; |
725 |
|
|
|
726 |
|
|
|
727 |
|
|
/* initialize model coefficients */ |
728 |
|
|
a[1] = 97.24; |
729 |
|
|
a[2] = 107.22; |
730 |
|
|
a[3] = 104.97; |
731 |
|
|
a[4] = 102.39; |
732 |
|
|
a[5] = 100.71; |
733 |
|
|
a[6] = 106.42; |
734 |
|
|
a[7] = 141.88; |
735 |
|
|
a[8] = 152.23; |
736 |
|
|
|
737 |
|
|
b[1] = -0.46; |
738 |
|
|
b[2] = 1.15; |
739 |
|
|
b[3] = 2.96; |
740 |
|
|
b[4] = 5.59; |
741 |
|
|
b[5] = 5.94; |
742 |
|
|
b[6] = 3.83; |
743 |
|
|
b[7] = 1.90; |
744 |
|
|
b[8] = 0.35; |
745 |
|
|
|
746 |
|
|
c[1] = 12.00; |
747 |
|
|
c[2] = 0.59; |
748 |
|
|
c[3] = -5.53; |
749 |
|
|
c[4] = -13.95; |
750 |
|
|
c[5] = -22.75; |
751 |
|
|
c[6] = -36.15; |
752 |
|
|
c[7] = -53.24; |
753 |
|
|
c[8] = -45.27; |
754 |
|
|
|
755 |
|
|
d[1] = -8.91; |
756 |
|
|
d[2] = -3.95; |
757 |
|
|
d[3] = -8.77; |
758 |
|
|
d[4] = -13.90; |
759 |
|
|
d[5] = -23.74; |
760 |
|
|
d[6] = -28.83; |
761 |
|
|
d[7] = -14.03; |
762 |
|
|
d[8] = -7.98; |
763 |
|
|
|
764 |
|
|
|
765 |
|
|
|
766 |
|
|
|
767 |
|
|
for (i=1; i<=category_total_number; i++) |
768 |
|
|
{ |
769 |
|
|
if ( (skyclearness >= category_bounds[i]) && (skyclearness < category_bounds[i+1]) ) |
770 |
|
|
category_number = i; |
771 |
|
|
} |
772 |
|
|
|
773 |
|
|
value = a[category_number] + b[category_number]*atm_preci_water + c[category_number]*cos(sunzenith*M_PI/180) + |
774 |
|
|
d[category_number]*log(skybrightness); |
775 |
|
|
|
776 |
|
|
return(value); |
777 |
|
|
} |
778 |
|
|
|
779 |
|
|
|
780 |
|
|
/* direct normal efficacy model, according to PEREZ */ |
781 |
|
|
|
782 |
|
|
double direct_n_effi_PEREZ() |
783 |
|
|
|
784 |
|
|
{ |
785 |
|
|
double value; |
786 |
|
|
double category_bounds[10], a[10], b[10], c[10], d[10]; |
787 |
|
|
int category_total_number, category_number, i; |
788 |
|
|
|
789 |
|
|
|
790 |
|
|
if (skyclearness<skyclearinf || skyclearness>skyclearsup || skybrightness<=skybriginf || skybrightness>skybrigsup) |
791 |
|
|
fprintf(stderr, "Warning : skyclearness or skybrightness out of range ; \n Check your input parameters\n"); |
792 |
|
|
|
793 |
|
|
|
794 |
|
|
/* initialize category bounds (clearness index bounds) */ |
795 |
|
|
|
796 |
|
|
category_total_number = 8; |
797 |
|
|
|
798 |
|
|
category_bounds[1] = 1; |
799 |
|
|
category_bounds[2] = 1.065; |
800 |
|
|
category_bounds[3] = 1.230; |
801 |
|
|
category_bounds[4] = 1.500; |
802 |
|
|
category_bounds[5] = 1.950; |
803 |
|
|
category_bounds[6] = 2.800; |
804 |
|
|
category_bounds[7] = 4.500; |
805 |
|
|
category_bounds[8] = 6.200; |
806 |
|
|
category_bounds[9] = 12.1; |
807 |
|
|
|
808 |
|
|
|
809 |
|
|
/* initialize model coefficients */ |
810 |
|
|
a[1] = 57.20; |
811 |
|
|
a[2] = 98.99; |
812 |
|
|
a[3] = 109.83; |
813 |
|
|
a[4] = 110.34; |
814 |
|
|
a[5] = 106.36; |
815 |
|
|
a[6] = 107.19; |
816 |
|
|
a[7] = 105.75; |
817 |
|
|
a[8] = 101.18; |
818 |
|
|
|
819 |
|
|
b[1] = -4.55; |
820 |
|
|
b[2] = -3.46; |
821 |
|
|
b[3] = -4.90; |
822 |
|
|
b[4] = -5.84; |
823 |
|
|
b[5] = -3.97; |
824 |
|
|
b[6] = -1.25; |
825 |
|
|
b[7] = 0.77; |
826 |
|
|
b[8] = 1.58; |
827 |
|
|
|
828 |
|
|
c[1] = -2.98; |
829 |
|
|
c[2] = -1.21; |
830 |
|
|
c[3] = -1.71; |
831 |
|
|
c[4] = -1.99; |
832 |
|
|
c[5] = -1.75; |
833 |
|
|
c[6] = -1.51; |
834 |
|
|
c[7] = -1.26; |
835 |
|
|
c[8] = -1.10; |
836 |
|
|
|
837 |
|
|
d[1] = 117.12; |
838 |
|
|
d[2] = 12.38; |
839 |
|
|
d[3] = -8.81; |
840 |
|
|
d[4] = -4.56; |
841 |
|
|
d[5] = -6.16; |
842 |
|
|
d[6] = -26.73; |
843 |
|
|
d[7] = -34.44; |
844 |
|
|
d[8] = -8.29; |
845 |
|
|
|
846 |
|
|
|
847 |
|
|
|
848 |
|
|
for (i=1; i<=category_total_number; i++) |
849 |
|
|
{ |
850 |
|
|
if ( (skyclearness >= category_bounds[i]) && (skyclearness < category_bounds[i+1]) ) |
851 |
|
|
category_number = i; |
852 |
|
|
} |
853 |
|
|
|
854 |
|
|
value = a[category_number] + b[category_number]*atm_preci_water + c[category_number]*exp(5.73*sunzenith*M_PI/180 - 5) + d[category_number]*skybrightness; |
855 |
|
|
|
856 |
|
|
if (value < 0) value = 0; |
857 |
|
|
|
858 |
|
|
return(value); |
859 |
|
|
} |
860 |
|
|
|
861 |
|
|
|
862 |
|
|
/*check the range of epsilon and delta indexes of the perez parametrization*/ |
863 |
|
|
void check_parametrization() |
864 |
|
|
{ |
865 |
|
|
if (skyclearness<skyclearinf || skyclearness>skyclearsup || skybrightness<=skybriginf || skybrightness>skybrigsup) |
866 |
|
|
{ |
867 |
|
|
fprintf(stderr,"sky clearness or sky brightness out of range %lf\t %lf\n", skyclearness, skybrightness); |
868 |
|
|
exit(1); |
869 |
|
|
} |
870 |
|
|
else return; |
871 |
|
|
} |
872 |
|
|
|
873 |
|
|
|
874 |
|
|
/* likelihood of the direct and diffuse components */ |
875 |
|
|
void check_illuminances() |
876 |
|
|
{ |
877 |
|
|
if (!( (directilluminance>=0) && (directilluminance<=solar_constant_l*1000) && (diffusilluminance>0) )) |
878 |
|
|
{ |
879 |
|
|
fprintf(stderr,"direct or diffuse illuminances out of range\n"); |
880 |
|
|
exit(1); |
881 |
|
|
} |
882 |
|
|
return; |
883 |
|
|
} |
884 |
|
|
|
885 |
|
|
|
886 |
|
|
void check_irradiances() |
887 |
|
|
{ |
888 |
|
|
if (!( (directirradiance>=0) && (directirradiance<=solar_constant_e) && (diffusirradiance>0) )) |
889 |
|
|
{ |
890 |
|
|
fprintf(stderr,"direct or diffuse irradiances out of range\n"); |
891 |
|
|
exit(1); |
892 |
|
|
} |
893 |
|
|
return; |
894 |
|
|
} |
895 |
|
|
|
896 |
|
|
|
897 |
|
|
|
898 |
|
|
/* Perez sky's brightness */ |
899 |
|
|
double sky_brightness() |
900 |
|
|
{ |
901 |
|
|
double value; |
902 |
|
|
|
903 |
|
|
value = diffusirradiance * air_mass() / ( solar_constant_e*get_eccentricity()); |
904 |
|
|
|
905 |
|
|
return(value); |
906 |
|
|
} |
907 |
|
|
|
908 |
|
|
|
909 |
|
|
/* Perez sky's clearness */ |
910 |
|
|
double sky_clearness() |
911 |
|
|
{ |
912 |
|
|
double value; |
913 |
|
|
|
914 |
|
|
value = ( (diffusirradiance + directirradiance)/(diffusirradiance) + 1.041*sunzenith*M_PI/180*sunzenith*M_PI/180*sunzenith*M_PI/180 ) / (1 + 1.041*sunzenith*M_PI/180*sunzenith*M_PI/180*sunzenith*M_PI/180) ; |
915 |
|
|
|
916 |
|
|
return(value); |
917 |
|
|
} |
918 |
|
|
|
919 |
|
|
|
920 |
|
|
|
921 |
|
|
/* diffus horizontal irradiance from Perez sky's brightness */ |
922 |
|
|
double diffus_irradiance_from_sky_brightness() |
923 |
|
|
{ |
924 |
|
|
double value; |
925 |
|
|
|
926 |
|
|
value = skybrightness / air_mass() * ( solar_constant_e*get_eccentricity()); |
927 |
|
|
|
928 |
|
|
return(value); |
929 |
|
|
} |
930 |
|
|
|
931 |
|
|
|
932 |
|
|
/* direct normal irradiance from Perez sky's clearness */ |
933 |
|
|
double direct_irradiance_from_sky_clearness() |
934 |
|
|
{ |
935 |
|
|
double value; |
936 |
|
|
|
937 |
|
|
value = diffus_irradiance_from_sky_brightness(); |
938 |
|
|
value = value * ( (skyclearness-1) * (1+1.041*sunzenith*M_PI/180*sunzenith*M_PI/180*sunzenith*M_PI/180) ); |
939 |
|
|
|
940 |
|
|
return(value); |
941 |
|
|
} |
942 |
|
|
|
943 |
|
|
|
944 |
|
|
void illu_to_irra_index(void) |
945 |
|
|
{ |
946 |
|
|
double test1=0.1, test2=0.1; |
947 |
|
|
int counter=0; |
948 |
|
|
|
949 |
|
|
diffusirradiance = diffusilluminance*solar_constant_e/(solar_constant_l*1000); |
950 |
|
|
directirradiance = directilluminance*solar_constant_e/(solar_constant_l*1000); |
951 |
|
|
skyclearness = sky_clearness(); |
952 |
|
|
skybrightness = sky_brightness(); |
953 |
|
|
if (skyclearness>12) skyclearness=12; |
954 |
|
|
if (skybrightness<0.05) skybrightness=0.01; |
955 |
|
|
|
956 |
|
|
|
957 |
|
|
while ( ((fabs(diffusirradiance-test1)>10) || (fabs(directirradiance-test2)>10) |
958 |
|
|
|| skyclearness>skyclearinf || skyclearness<skyclearsup |
959 |
|
|
|| skybrightness>skybriginf || skybrightness<skybrigsup ) |
960 |
|
|
&& !(counter==5) ) |
961 |
|
|
{ |
962 |
|
|
/*fprintf(stderr, "conversion illuminance into irradiance %lf\t %lf\n", diffusirradiance, directirradiance);*/ |
963 |
|
|
|
964 |
|
|
test1=diffusirradiance; |
965 |
|
|
test2=directirradiance; |
966 |
|
|
counter++; |
967 |
|
|
|
968 |
|
|
diffusirradiance = diffusilluminance/glob_h_diffuse_effi_PEREZ(); |
969 |
|
|
directirradiance = directilluminance/direct_n_effi_PEREZ(); |
970 |
|
|
/*fprintf(stderr, "conversion illuminance into irradiance %lf\t %lf\n", diffusirradiance, directirradiance);*/ |
971 |
|
|
|
972 |
|
|
skybrightness = sky_brightness(); |
973 |
|
|
skyclearness = sky_clearness(); |
974 |
|
|
if (skyclearness>12) skyclearness=12; |
975 |
|
|
if (skybrightness<0.05) skybrightness=0.01; |
976 |
|
|
|
977 |
|
|
/*fprintf(stderr, "%lf\t %lf\n", skybrightness, skyclearness);*/ |
978 |
|
|
|
979 |
|
|
} |
980 |
|
|
|
981 |
|
|
|
982 |
|
|
return; |
983 |
|
|
} |
984 |
|
|
|
985 |
|
|
|
986 |
|
|
int lect_coeff_perez(char *filename,float **coeff_perez) |
987 |
|
|
{ |
988 |
|
|
FILE *fcoeff_perez; |
989 |
|
|
float temp; |
990 |
|
|
int i,j; |
991 |
|
|
|
992 |
|
|
if ((fcoeff_perez = frlibopen(filename)) == NULL) |
993 |
|
|
{ |
994 |
|
|
fprintf(stderr,"file %s cannot be opened\n", filename); |
995 |
|
|
return 1; /* il y a un probleme de fichier */ |
996 |
|
|
} |
997 |
|
|
else |
998 |
|
|
{ |
999 |
|
|
/*printf("file %s open\n", filename);*/ |
1000 |
|
|
} |
1001 |
|
|
|
1002 |
|
|
rewind(fcoeff_perez); /* on se place en debut de fichier */ |
1003 |
|
|
|
1004 |
|
|
for (i=0;i<8;i++) |
1005 |
|
|
for (j=0;j<20;j++) |
1006 |
|
|
{ |
1007 |
|
|
fscanf(fcoeff_perez,"%f",&temp); |
1008 |
|
|
*(*coeff_perez+i*20+j) = temp; |
1009 |
|
|
} |
1010 |
|
|
fclose(fcoeff_perez); |
1011 |
|
|
|
1012 |
|
|
return 0; /* tout est OK */ |
1013 |
|
|
} |
1014 |
|
|
|
1015 |
|
|
|
1016 |
|
|
|
1017 |
|
|
/* sky luminance perez model */ |
1018 |
|
|
double calc_rel_lum_perez(double dzeta,double gamma,double Z, |
1019 |
|
|
double epsilon,double Delta,float *coeff_perez) |
1020 |
|
|
{ |
1021 |
|
|
float x[5][4]; |
1022 |
|
|
int i,j,num_lin; |
1023 |
|
|
double c_perez[5]; |
1024 |
|
|
|
1025 |
|
|
if ( (epsilon < skyclearinf) || (epsilon >= skyclearsup) ) |
1026 |
|
|
{ |
1027 |
|
|
fprintf(stderr,"Epsilon out of range in function calc_rel_lum_perez !\n"); |
1028 |
|
|
exit(1); |
1029 |
|
|
} |
1030 |
|
|
|
1031 |
|
|
/* correction de modele de Perez solar energy ...*/ |
1032 |
|
|
if ( (epsilon > 1.065) && (epsilon < 2.8) ) |
1033 |
|
|
{ |
1034 |
|
|
if ( Delta < 0.2 ) Delta = 0.2; |
1035 |
|
|
} |
1036 |
|
|
|
1037 |
|
|
if ( (epsilon >= 1.000) && (epsilon < 1.065) ) num_lin = 0; |
1038 |
|
|
if ( (epsilon >= 1.065) && (epsilon < 1.230) ) num_lin = 1; |
1039 |
|
|
if ( (epsilon >= 1.230) && (epsilon < 1.500) ) num_lin = 2; |
1040 |
|
|
if ( (epsilon >= 1.500) && (epsilon < 1.950) ) num_lin = 3; |
1041 |
|
|
if ( (epsilon >= 1.950) && (epsilon < 2.800) ) num_lin = 4; |
1042 |
|
|
if ( (epsilon >= 2.800) && (epsilon < 4.500) ) num_lin = 5; |
1043 |
|
|
if ( (epsilon >= 4.500) && (epsilon < 6.200) ) num_lin = 6; |
1044 |
|
|
if ( (epsilon >= 6.200) && (epsilon < 14.00) ) num_lin = 7; |
1045 |
|
|
|
1046 |
|
|
for (i=0;i<5;i++) |
1047 |
|
|
for (j=0;j<4;j++) |
1048 |
|
|
{ |
1049 |
|
|
x[i][j] = *(coeff_perez + 20*num_lin + 4*i +j); |
1050 |
|
|
/* printf("x %d %d vaut %f\n",i,j,x[i][j]); */ |
1051 |
|
|
} |
1052 |
|
|
|
1053 |
|
|
|
1054 |
|
|
if (num_lin) |
1055 |
|
|
{ |
1056 |
|
|
for (i=0;i<5;i++) |
1057 |
|
|
c_perez[i] = x[i][0] + x[i][1]*Z + Delta * (x[i][2] + x[i][3]*Z); |
1058 |
|
|
} |
1059 |
|
|
else |
1060 |
|
|
{ |
1061 |
|
|
c_perez[0] = x[0][0] + x[0][1]*Z + Delta * (x[0][2] + x[0][3]*Z); |
1062 |
|
|
c_perez[1] = x[1][0] + x[1][1]*Z + Delta * (x[1][2] + x[1][3]*Z); |
1063 |
|
|
c_perez[4] = x[4][0] + x[4][1]*Z + Delta * (x[4][2] + x[4][3]*Z); |
1064 |
|
|
c_perez[2] = exp( pow(Delta*(x[2][0]+x[2][1]*Z),x[2][2])) - x[2][3]; |
1065 |
|
|
c_perez[3] = -exp( Delta*(x[3][0]+x[3][1]*Z) )+x[3][2]+Delta*x[3][3]; |
1066 |
|
|
} |
1067 |
|
|
|
1068 |
|
|
|
1069 |
|
|
return (1 + c_perez[0]*exp(c_perez[1]/cos(dzeta)) ) * |
1070 |
|
|
(1 + c_perez[2]*exp(c_perez[3]*gamma) + |
1071 |
|
|
c_perez[4]*cos(gamma)*cos(gamma) ); |
1072 |
|
|
} |
1073 |
|
|
|
1074 |
|
|
|
1075 |
|
|
|
1076 |
|
|
/* coefficients for the sky luminance perez model */ |
1077 |
|
|
void coeff_lum_perez(double Z, double epsilon, double Delta, float *coeff_perez) |
1078 |
|
|
{ |
1079 |
|
|
float x[5][4]; |
1080 |
|
|
int i,j,num_lin; |
1081 |
|
|
|
1082 |
|
|
if ( (epsilon < skyclearinf) || (epsilon >= skyclearsup) ) |
1083 |
|
|
{ |
1084 |
|
|
fprintf(stderr,"Epsilon out of range in function calc_rel_lum_perez !\n"); |
1085 |
|
|
exit(1); |
1086 |
|
|
} |
1087 |
|
|
|
1088 |
|
|
/* correction du modele de Perez solar energy ...*/ |
1089 |
|
|
if ( (epsilon > 1.065) && (epsilon < 2.8) ) |
1090 |
|
|
{ |
1091 |
|
|
if ( Delta < 0.2 ) Delta = 0.2; |
1092 |
|
|
} |
1093 |
|
|
|
1094 |
|
|
if ( (epsilon >= 1.000) && (epsilon < 1.065) ) num_lin = 0; |
1095 |
|
|
if ( (epsilon >= 1.065) && (epsilon < 1.230) ) num_lin = 1; |
1096 |
|
|
if ( (epsilon >= 1.230) && (epsilon < 1.500) ) num_lin = 2; |
1097 |
|
|
if ( (epsilon >= 1.500) && (epsilon < 1.950) ) num_lin = 3; |
1098 |
|
|
if ( (epsilon >= 1.950) && (epsilon < 2.800) ) num_lin = 4; |
1099 |
|
|
if ( (epsilon >= 2.800) && (epsilon < 4.500) ) num_lin = 5; |
1100 |
|
|
if ( (epsilon >= 4.500) && (epsilon < 6.200) ) num_lin = 6; |
1101 |
|
|
if ( (epsilon >= 6.200) && (epsilon < 14.00) ) num_lin = 7; |
1102 |
|
|
|
1103 |
|
|
for (i=0;i<5;i++) |
1104 |
|
|
for (j=0;j<4;j++) |
1105 |
|
|
{ |
1106 |
|
|
x[i][j] = *(coeff_perez + 20*num_lin + 4*i +j); |
1107 |
|
|
/* printf("x %d %d vaut %f\n",i,j,x[i][j]); */ |
1108 |
|
|
} |
1109 |
|
|
|
1110 |
|
|
|
1111 |
|
|
if (num_lin) |
1112 |
|
|
{ |
1113 |
|
|
for (i=0;i<5;i++) |
1114 |
|
|
*(c_perez+i) = x[i][0] + x[i][1]*Z + Delta * (x[i][2] + x[i][3]*Z); |
1115 |
|
|
|
1116 |
|
|
} |
1117 |
|
|
else |
1118 |
|
|
{ |
1119 |
|
|
*(c_perez+0) = x[0][0] + x[0][1]*Z + Delta * (x[0][2] + x[0][3]*Z); |
1120 |
|
|
*(c_perez+1) = x[1][0] + x[1][1]*Z + Delta * (x[1][2] + x[1][3]*Z); |
1121 |
|
|
*(c_perez+4) = x[4][0] + x[4][1]*Z + Delta * (x[4][2] + x[4][3]*Z); |
1122 |
|
|
*(c_perez+2) = exp( pow(Delta*(x[2][0]+x[2][1]*Z),x[2][2])) - x[2][3]; |
1123 |
|
|
*(c_perez+3) = -exp( Delta*(x[3][0]+x[3][1]*Z) )+x[3][2]+Delta*x[3][3]; |
1124 |
|
|
|
1125 |
|
|
|
1126 |
|
|
} |
1127 |
|
|
|
1128 |
|
|
|
1129 |
|
|
return; |
1130 |
|
|
} |
1131 |
|
|
|
1132 |
|
|
|
1133 |
|
|
/* degrees into radians */ |
1134 |
|
|
double radians(double degres) |
1135 |
|
|
{ |
1136 |
|
|
return degres*M_PI/180.0; |
1137 |
|
|
} |
1138 |
|
|
|
1139 |
|
|
/* radian into degrees */ |
1140 |
|
|
double degres(double radians) |
1141 |
|
|
{ |
1142 |
|
|
return radians/M_PI*180.0; |
1143 |
|
|
} |
1144 |
|
|
|
1145 |
|
|
/* calculation of the angles dzeta and gamma */ |
1146 |
|
|
void theta_phi_to_dzeta_gamma(double theta,double phi,double *dzeta,double *gamma, double Z) |
1147 |
|
|
{ |
1148 |
|
|
*dzeta = theta; /* dzeta = phi */ |
1149 |
|
|
if ( (cos(Z)*cos(theta)+sin(Z)*sin(theta)*cos(phi)) > 1 && (cos(Z)*cos(theta)+sin(Z)*sin(theta)*cos(phi) < 1.1 ) ) |
1150 |
|
|
*gamma = 0; |
1151 |
|
|
else if ( (cos(Z)*cos(theta)+sin(Z)*sin(theta)*cos(phi)) > 1.1 ) |
1152 |
|
|
{ |
1153 |
|
|
printf("error in calculation of gamma (angle between point and sun"); |
1154 |
|
|
exit(3); |
1155 |
|
|
} |
1156 |
|
|
else |
1157 |
|
|
*gamma = acos(cos(Z)*cos(theta)+sin(Z)*sin(theta)*cos(phi)); |
1158 |
|
|
} |
1159 |
|
|
|
1160 |
|
|
|
1161 |
|
|
/********************************************************************************/ |
1162 |
|
|
/* Fonction: theta_ordered */ |
1163 |
|
|
/* */ |
1164 |
|
|
/* In: char *filename */ |
1165 |
|
|
/* */ |
1166 |
|
|
/* Out: float * */ |
1167 |
|
|
/* */ |
1168 |
|
|
/* Update: 29/08/93 */ |
1169 |
|
|
/* */ |
1170 |
|
|
/* Rem: theta en degres */ |
1171 |
|
|
/* */ |
1172 |
|
|
/* But: fournit les valeurs de theta du fichier d'entree a la memoire */ |
1173 |
|
|
/* */ |
1174 |
|
|
/********************************************************************************/ |
1175 |
|
|
float *theta_ordered(char *filename) |
1176 |
|
|
{ |
1177 |
|
|
int i; |
1178 |
|
|
float buffer,*ptr; |
1179 |
|
|
FILE *file_in; |
1180 |
|
|
|
1181 |
|
|
if ( (file_in = frlibopen(filename)) == NULL ) |
1182 |
|
|
{ |
1183 |
|
|
fprintf(stderr,"Cannot open file %s in function theta_ordered\n",filename); |
1184 |
|
|
exit(1); |
1185 |
|
|
} |
1186 |
|
|
|
1187 |
|
|
rewind(file_in); |
1188 |
|
|
|
1189 |
|
|
if ( (ptr = malloc(145*sizeof(float))) == NULL ) |
1190 |
|
|
{ |
1191 |
|
|
fprintf(stderr,"Out of memory in function theta_ordered\n"); |
1192 |
|
|
exit(1); |
1193 |
|
|
} |
1194 |
|
|
|
1195 |
|
|
for (i=0;i<145;i++) |
1196 |
|
|
{ |
1197 |
|
|
fscanf(file_in,"%f",&buffer); |
1198 |
|
|
*(ptr+i) = buffer; |
1199 |
|
|
fscanf(file_in,"%f",&buffer); |
1200 |
|
|
} |
1201 |
|
|
|
1202 |
|
|
fclose(file_in); |
1203 |
|
|
return ptr; |
1204 |
|
|
} |
1205 |
|
|
|
1206 |
|
|
|
1207 |
|
|
/********************************************************************************/ |
1208 |
|
|
/* Fonction: phi_ordered */ |
1209 |
|
|
/* */ |
1210 |
|
|
/* In: char *filename */ |
1211 |
|
|
/* */ |
1212 |
|
|
/* Out: float * */ |
1213 |
|
|
/* */ |
1214 |
|
|
/* Update: 29/08/93 */ |
1215 |
|
|
/* */ |
1216 |
|
|
/* Rem: valeurs de Phi en DEGRES */ |
1217 |
|
|
/* */ |
1218 |
|
|
/* But: mettre les angles contenus dans le fichier d'entree dans la memoire */ |
1219 |
|
|
/* */ |
1220 |
|
|
/********************************************************************************/ |
1221 |
|
|
float *phi_ordered(char *filename) |
1222 |
|
|
{ |
1223 |
|
|
int i; |
1224 |
|
|
float buffer,*ptr; |
1225 |
|
|
FILE *file_in; |
1226 |
|
|
|
1227 |
|
|
if ( (file_in = frlibopen(filename)) == NULL ) |
1228 |
|
|
{ |
1229 |
|
|
fprintf(stderr,"Cannot open file %s in function phi_ordered\n",filename); |
1230 |
|
|
exit(1); |
1231 |
|
|
} |
1232 |
|
|
|
1233 |
|
|
rewind(file_in); |
1234 |
|
|
|
1235 |
|
|
if ( (ptr = malloc(145*sizeof(float))) == NULL ) |
1236 |
|
|
{ |
1237 |
|
|
fprintf(stderr,"Out of memory in function phi_ordered"); |
1238 |
|
|
exit(1); |
1239 |
|
|
} |
1240 |
|
|
|
1241 |
|
|
for (i=0;i<145;i++) |
1242 |
|
|
{ |
1243 |
|
|
fscanf(file_in,"%f",&buffer); |
1244 |
|
|
fscanf(file_in,"%f",&buffer); |
1245 |
|
|
*(ptr+i) = buffer; |
1246 |
|
|
} |
1247 |
|
|
|
1248 |
|
|
fclose(file_in); |
1249 |
|
|
return ptr; |
1250 |
|
|
} |
1251 |
|
|
|
1252 |
|
|
|
1253 |
|
|
/********************************************************************************/ |
1254 |
|
|
/* Fonction: integ_lv */ |
1255 |
|
|
/* */ |
1256 |
|
|
/* In: float *lv,*theta */ |
1257 |
|
|
/* int sun_pos */ |
1258 |
|
|
/* */ |
1259 |
|
|
/* Out: double */ |
1260 |
|
|
/* */ |
1261 |
|
|
/* Update: 29/08/93 */ |
1262 |
|
|
/* */ |
1263 |
|
|
/* Rem: */ |
1264 |
|
|
/* */ |
1265 |
|
|
/* But: calcul l'integrale de luminance relative sans la dir. du soleil */ |
1266 |
|
|
/* */ |
1267 |
|
|
/********************************************************************************/ |
1268 |
|
|
double integ_lv(float *lv,float *theta) |
1269 |
|
|
{ |
1270 |
|
|
int i; |
1271 |
|
|
double buffer=0.0; |
1272 |
|
|
|
1273 |
|
|
for (i=0;i<145;i++) |
1274 |
|
|
buffer += (*(lv+i))*cos(radians(*(theta+i))); |
1275 |
|
|
|
1276 |
|
|
return buffer*2*M_PI/144; |
1277 |
|
|
|
1278 |
|
|
} |
1279 |
|
|
|
1280 |
|
|
|
1281 |
|
|
|
1282 |
|
|
|
1283 |
|
|
|
1284 |
|
|
|
1285 |
|
|
/* enter day number(double), return E0 = square(R0/R): eccentricity correction factor */ |
1286 |
|
|
|
1287 |
|
|
double get_eccentricity() |
1288 |
|
|
{ |
1289 |
|
|
double day_angle; |
1290 |
|
|
double E0; |
1291 |
|
|
|
1292 |
|
|
day_angle = 2*M_PI*(daynumber - 1)/365; |
1293 |
|
|
E0 = 1.00011+0.034221*cos(day_angle)+0.00128*sin(day_angle)+ |
1294 |
|
|
0.000719*cos(2*day_angle)+0.000077*sin(2*day_angle); |
1295 |
|
|
|
1296 |
|
|
return (E0); |
1297 |
|
|
|
1298 |
|
|
} |
1299 |
|
|
|
1300 |
|
|
|
1301 |
|
|
/* enter sunzenith angle (degrees) return relative air mass (double) */ |
1302 |
|
|
double air_mass() |
1303 |
|
|
{ |
1304 |
|
|
double m; |
1305 |
|
|
|
1306 |
|
|
if (sunzenith>90) |
1307 |
|
|
{ |
1308 |
|
|
fprintf(stderr, "solar zenith angle larger than 90� in fuction air_mass():\n the models used are not more valid\n"); |
1309 |
|
|
exit(1); |
1310 |
|
|
} |
1311 |
|
|
|
1312 |
|
|
m = 1/( cos(sunzenith*M_PI/180)+0.15*exp( log(93.885-sunzenith)*(-1.253) ) ); |
1313 |
|
|
return(m); |
1314 |
|
|
} |
1315 |
|
|
|
1316 |
|
|
|
1317 |
|
|
double get_angle_sun_direction(double sun_zenith, double sun_azimut, double direction_zenith, double direction_azimut) |
1318 |
|
|
|
1319 |
|
|
{ |
1320 |
|
|
|
1321 |
|
|
double angle; |
1322 |
|
|
|
1323 |
|
|
|
1324 |
|
|
if (sun_zenith == 0) |
1325 |
|
|
puts("WARNING: zenith_angle = 0 in function get_angle_sun_vert_plan"); |
1326 |
|
|
|
1327 |
|
|
angle = acos( cos(sun_zenith*M_PI/180)*cos(direction_zenith*M_PI/180) + sin(sun_zenith*M_PI/180)*sin(direction_zenith*M_PI/180)*cos((sun_azimut-direction_azimut)*M_PI/180) ); |
1328 |
|
|
angle = angle*180/M_PI; |
1329 |
|
|
return(angle); |
1330 |
|
|
} |
1331 |
|
|
|
1332 |
|
|
|
1333 |
|
|
|
1334 |
|
|
|
1335 |
|
|
|
1336 |
|
|
|
1337 |
|
|
|
1338 |
|
|
|