1 | /*
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2 | ============================================================================
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3 | sun.c -- calculate sunrise, sunset, and position of the sun
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4 | Version 5 -- 1989-01-12 -- Robert Bond / D.N. Lynx Crowe
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5 |
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6 | sun <options>
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7 |
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8 | options: -t hh:mm:ss time (default is current system time)
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9 | -d mm/dd/yy date (default is current system date)
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10 | -a lat decimal latitude (default = 45.5333)
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11 | -o lon decimal longitude (default = 122.8333)
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12 | -z tz timezone (default = 8, pst)
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13 | -p show position of sun (azimuth)
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14 |
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15 | All output is to standard io.
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16 |
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17 | Compile with cc -O -o sun -lm
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18 |
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19 | Define BSD for BSD4.2 systems. System V assumed otherwise.
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20 | This selects between <sys/time.h> and <time.h> below.
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21 |
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22 | Note that the latitude, longitude, time zone correction and
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23 | time zone string are all defaulted in the global variable section.
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24 | The default is for Oakland, CA.
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25 |
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26 | Most of the code in this program is adapted from algorithms
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27 | presented in "Practical Astronomy With Your Calculator" by
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28 | Peter Duffet-Smith.
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29 |
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30 | The GST and ALT-AZIMUTH algorithms are from Sky and Telescope,
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31 | June, 1984 by Roger W. Sinnott
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32 |
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33 | Original author: Robert Bond - Beaverton, Oregon.
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34 | Mods by: D.N. Lynx Crowe - Oakland, California.
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35 | ============================================================================
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36 | */
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37 |
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38 | #include "stdio.h"
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39 | #include "math.h"
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40 | #include "types.h"
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41 |
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42 | #ifdef BSD
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43 | #include <sys/time.h>
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44 | #else
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45 | #include "time.h"
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46 | #endif
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47 |
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48 | #ifndef PI
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49 | #define PI 3.141592654
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50 | #endif
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51 |
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52 | #define EPOCH 1980
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53 | #define JDE 2444238.5 /* Julian date of EPOCH */
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54 |
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55 | double dtor();
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56 | double adj360();
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57 | double adj24();
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58 | double julian_date();
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59 | double hms_to_dh();
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60 | double solar_lon();
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61 | double acos_deg();
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62 | double asin_deg();
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63 | double atan_q_deg();
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64 | double atan_deg();
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65 | double sin_deg();
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66 | double cos_deg();
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67 | double tan_deg();
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68 | double gmst();
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69 |
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70 | int th;
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71 | int tm;
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72 | int ts;
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73 | int mo;
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74 | int day;
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75 | int yr;
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76 | int popt = 0;
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77 |
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78 | int tz=8; /* Default time zone */
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79 | char *tzs = "(PST)"; /* Default time zone string */
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80 | char *dtzs = "(PDT)"; /* Default daylight savings time string */
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81 |
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82 | /* double lat = 45.5333; /* Default latitude (Beaverton Ore.) */
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83 | /* double lon = 122.8333; /* Default Longitude (Degrees west) */
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84 |
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85 | double lat = 37.75; /* Default latitude (Oakland, CA) */
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86 | double lon = 122.25; /* Default longitude (degrees west) */
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87 |
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88 | /* |
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89 |
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90 | */
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91 |
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92 | main(argc,argv)
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93 | int argc;
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94 | char *argv[];
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95 | {
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96 | double ed, jd;
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97 | double alpha1, delta1, alpha2, delta2, st1r, st1s, st2r, st2s;
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98 | double a1r, a1s, a2r, a2s, dt, dh, x, y;
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99 | double trise, tset, ar, as, alpha, delta, tri, da;
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100 | double lambda1, lambda2;
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101 | double alt, az, gst, m1;
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102 | double hsm, ratio;
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103 | time_t sec_1970;
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104 | int h, m;
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105 | struct tm *pt;
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106 |
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107 | sec_1970 = time((time_t *)0);
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108 | pt = localtime(&sec_1970);
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109 |
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110 | th = pt->tm_hour;
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111 | tm = pt->tm_min;
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112 | ts = pt->tm_sec;
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113 | yr = pt->tm_year + 1900;
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114 | mo = pt->tm_mon + 1;
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115 | day = pt->tm_mday;
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116 |
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117 | if (pt->tm_isdst) { /* convert tz to daylight savings time */
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118 |
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119 | tz--;
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120 | tzs = dtzs;
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121 | }
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122 |
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123 | initopts(argc,argv);
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124 |
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125 | printf("On %04d-%02d-%02d at %02d:%02d:%02d\n",
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126 | yr, mo, day, th, tm, ts);
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127 |
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128 | jd = julian_date(mo,day,yr);
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129 | ed = jd - JDE;
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130 |
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131 | lambda1 = solar_lon(ed);
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132 | lambda2 = solar_lon(ed + 1.0);
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133 |
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134 | lon_to_eq(lambda1, &alpha1, &delta1);
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135 | lon_to_eq(lambda2, &alpha2, &delta2);
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136 |
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137 | rise_set(alpha1, delta1, &st1r, &st1s, &a1r, &a1s);
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138 | rise_set(alpha2, delta2, &st2r, &st2s, &a2r, &a2s);
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139 |
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140 | m1 = adj24(gmst(jd - 0.5, 0.5 + tz / 24.0) - lon / 15); /* lst midnight */
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141 | hsm = adj24(st1r - m1);
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142 | ratio = hsm / 24.07;
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143 |
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144 | if (fabs(st2r - st1r) > 1.0) {
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145 |
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146 | st2r += 24.0;
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147 | }
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148 |
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149 | trise = adj24((1.0 - ratio) * st1r + ratio * st2r);
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150 |
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151 | hsm = adj24(st1s - m1);
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152 | ratio = hsm / 24.07;
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153 |
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154 | if (fabs(st2s - st1s) > 1.0) {
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155 |
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156 | st2s += 24.0;
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157 | }
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158 |
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159 | tset = adj24((1.0 - ratio) * st1s + ratio * st2s);
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160 |
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161 | ar = a1r * 360.0 / (360.0 + a1r - a2r);
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162 | as = a1s * 360.0 / (360.0 + a1s - a2s);
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163 |
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164 | delta = (delta1 + delta2) / 2.0;
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165 | tri = acos_deg(sin_deg(lat)/cos_deg(delta));
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166 |
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167 | x = 0.835608; /* correction for refraction, parallax, size of sun */
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168 | y = asin_deg(sin_deg(x)/sin_deg(tri));
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169 | da = asin_deg(tan_deg(x)/tan_deg(tri));
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170 | dt = 240.0 * y / cos_deg(delta) / 3600;
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171 |
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172 | lst_to_hm(trise - dt, jd, &h, &m);
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173 | printf("Sunrise: %2d:%02d ", h, m);
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174 |
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175 | if (popt) {
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176 |
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177 | dh_to_hm(ar - da, &h, &m);
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178 | printf("Azimuth: %2d deg %02d min \n", h, m);
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179 | }
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180 |
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181 | lst_to_hm(tset + dt, jd, &h, &m);
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182 | printf("Sunset: %2d:%02d ", h, m);
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183 |
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184 | if (popt) {
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185 |
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186 | dh_to_hm(as + da, &h, &m);
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187 | printf("Azimuth: %2d deg %02d min \n", h, m);
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188 |
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189 | } else
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190 | printf("%s \n",tzs);
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191 |
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192 | if (popt) {
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193 |
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194 | if (alpha1 < alpha2)
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195 | alpha = (alpha1 + alpha2) / 2.0;
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196 | else
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197 | alpha = (alpha1 + 24.0 + alpha2) / 2.0;
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198 |
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199 | if (alpha > 24.0)
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200 | alpha -= 24.0;
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201 |
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202 | dh = (hms_to_dh(th, tm, ts) + tz) / 24.0;
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203 |
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204 | if (dh > 0.5) {
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205 |
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206 | dh -= 0.5;
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207 | jd += 0.5;
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208 |
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209 | } else {
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210 |
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211 | dh += 0.5;
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212 | jd -= 0.5;
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213 | }
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214 |
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215 | gst = gmst(jd, dh);
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216 |
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217 | eq_to_altaz(alpha, delta, gst, &alt, &az);
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218 |
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219 | printf("The sun is at ");
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220 | dh_to_hm(alt, &h, &m);
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221 | printf("Altitude: %2d deg %02d min", h, m);
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222 | dh_to_hm(az, &h, &m);
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223 | printf(" Azimuth: %2d deg %02d min. \n", h, m);
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224 | }
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225 | }
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226 |
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227 | /* |
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228 |
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229 | */
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230 |
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231 | double
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232 | dtor(deg)
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233 | double deg;
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234 | {
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235 | return (deg * PI / 180.0);
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236 | }
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237 |
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238 | double
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239 | rtod(deg)
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240 | double deg;
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241 | {
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242 | return (deg * 180.0 / PI);
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243 | }
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244 |
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245 |
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246 | double
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247 | adj360(deg)
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248 | double deg;
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249 | {
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250 | while (deg < 0.0)
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251 | deg += 360.0;
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252 |
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253 | while (deg > 360.0)
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254 | deg -= 360.0;
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255 |
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256 | return(deg);
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257 | }
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258 |
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259 | double
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260 | adj24(hrs)
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261 | double hrs;
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262 | {
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263 | while (hrs < 0.0)
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264 | hrs += 24.0;
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265 |
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266 | while (hrs > 24.0)
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267 | hrs -= 24.0;
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268 |
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269 | return(hrs);
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270 | }
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271 |
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272 | /* |
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273 |
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274 | */
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275 |
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276 | initopts(argc,argv)
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277 | int argc;
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278 | char *argv[];
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279 | {
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280 | int ai;
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281 | char *ca;
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282 | char *str;
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283 |
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284 | while (--argc) {
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285 |
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286 | if ((*++argv)[0] == '-') {
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287 |
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288 | ca = *argv;
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289 |
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290 | for(ai = 1; ca[ai] != '\0'; ai++)
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291 | switch (ca[ai]) {
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292 |
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293 | case 'p':
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294 | popt++;
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295 | break;
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296 |
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297 | case 'a':
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298 | str = *++argv;
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299 |
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300 | if (sscanf(str, "%lf", &lat) != 1)
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301 | usage();
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302 |
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303 | argc--;
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304 | break;
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305 |
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306 | case 'o':
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307 | str = *++argv;
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308 |
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309 | if (sscanf(str, "%lf", &lon) != 1)
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310 | usage();
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311 |
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312 | argc--;
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313 | break;
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314 |
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315 | case 'z':
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316 | str = *++argv;
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317 |
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318 | if (sscanf(str, "%d", &tz) != 1)
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319 | usage();
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320 |
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321 | tzs = " ";
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322 | argc--;
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323 | break;
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324 |
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325 | case 't':
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326 | str = *++argv;
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327 |
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328 | if (sscanf(str, "%d:%d:%d", &th, &tm, &ts) != 3)
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329 | usage();
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330 |
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331 | argc--;
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332 | break;
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333 |
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334 | case 'd':
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335 | str = *++argv;
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336 |
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337 | if (sscanf(str, "%d/%d/%d", &mo, &day, &yr) != 3)
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338 | usage();
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339 |
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340 | argc--;
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341 | break;
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342 |
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343 | default:
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344 | usage();
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345 | }
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346 |
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347 | } else
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348 | usage();
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349 | }
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350 | }
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351 |
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352 | /* |
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353 |
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354 | */
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355 |
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356 | usage()
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357 | {
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358 | printf("Usage: sun [-p] [-t h:m:s] [-d m/d/y] [-a lat] [-o lon] [-z tz]\n");
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359 |
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360 | printf("-p\t\tshow position of sun (azimuth)\n");
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361 | printf("-t hh:mm:ss\ttime (default is current system time)\n");
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362 | printf("-d mm/dd/yy\tdate (default is current system date)\n");
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363 | printf("-a lat\t\tdecimal latitude (default = 37.75)\n");
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364 | printf("-o lon\t\tdecimal longitude (default = 122.25) \n");
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365 | printf("-z tz\t\ttimezone (default = 8, pst)\n");
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366 | printf("\nDefaults are for Oakland, CA\n");
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367 | exit(1);
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368 | }
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369 |
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370 | /* |
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371 |
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372 | */
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373 |
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374 | double
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375 | julian_date(m, d, y)
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376 | {
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377 | int a, b;
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378 | double jd;
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379 |
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380 | if (m == 1 || m == 2) {
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381 |
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382 | --y;
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383 | m += 12;
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384 | }
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385 |
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386 | if (y < 1583) {
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387 |
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388 | printf("Can't handle dates before 1583 \n");
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389 | exit(1);
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390 | }
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391 |
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392 | a = y/100;
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393 | b = 2 - a + a/4;
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394 | b += (int)((double)y * 365.25);
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395 | b += (int)(30.6001 * ((double)m + 1.0));
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396 | jd = (double)d + (double)b + 1720994.5;
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397 | return(jd);
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398 | }
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399 |
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400 | double
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401 | hms_to_dh(h, m, s)
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402 | {
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403 | double rv;
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404 |
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405 | rv = h + m / 60.0 + s / 3600.0;
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406 | return rv;
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407 | }
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408 |
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409 | /* |
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410 |
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411 | */
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412 |
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413 | double
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414 | solar_lon(ed)
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415 | double ed;
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416 | {
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417 | double n, m, e, ect, errt, v;
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418 |
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419 | n = 360.0 * ed / 365.2422;
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420 | n = adj360(n);
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421 | m = n + 278.83354 - 282.596403;
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422 | m = adj360(m);
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423 | m = dtor(m);
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424 | e = m; ect = 0.016718;
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425 |
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426 | while ((errt = e - ect * sin(e) - m) > 0.0000001)
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427 | e = e - errt / (1 - ect * cos(e));
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428 |
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429 | v = 2 * atan(1.0168601 * tan(e/2));
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430 | v = adj360(v * 180.0 / PI + 282.596403);
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431 | return(v);
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432 | }
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433 |
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434 | /* |
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435 |
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436 | */
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437 |
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438 | double
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439 | acos_deg(x)
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440 | double x;
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441 | {
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442 | return rtod(acos(x));
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443 | }
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444 |
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445 | double
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446 | asin_deg(x)
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447 | double x;
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448 | {
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449 | return rtod(asin(x));
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450 | }
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451 |
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452 | double
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453 | atan_q_deg(y,x)
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454 | double y,x;
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455 | {
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456 | double rv;
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457 |
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458 | if (y == 0)
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459 | rv = 0;
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460 | else if (x == 0)
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461 | rv = y>0 ? 90.0 : -90.0;
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462 | else
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463 | rv = atan_deg(y/x);
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464 |
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465 | if (x<0)
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466 | return rv+180.0;
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467 |
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468 | if (y<0)
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469 | return rv+360.0;
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470 |
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471 | return(rv);
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472 | }
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473 |
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474 | /* |
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475 |
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476 | */
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477 |
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478 | double
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479 | atan_deg(x)
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480 | double x;
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481 | {
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482 | return rtod(atan(x));
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483 | }
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484 |
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485 | double
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486 | sin_deg(x)
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487 | double x;
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488 | {
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489 | return sin(dtor(x));
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490 | }
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491 |
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492 | double
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493 | cos_deg(x)
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494 | double x;
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495 | {
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496 | return cos(dtor(x));
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497 | }
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498 |
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499 | double
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500 | tan_deg(x)
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501 | double x;
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502 | {
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503 | return tan(dtor(x));
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504 | }
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505 |
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506 | /* |
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507 |
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508 | */
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509 |
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510 | lon_to_eq(lambda, alpha, delta)
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511 | double lambda;
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512 | double *alpha;
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513 | double *delta;
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514 | {
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515 | double tlam,epsilon;
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516 |
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517 | tlam = dtor(lambda);
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518 | epsilon = dtor((double)23.441884);
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519 | *alpha = atan_q_deg((sin(tlam))*cos(epsilon),cos(tlam)) / 15.0;
|
---|
520 | *delta = asin_deg(sin(epsilon)*sin(tlam));
|
---|
521 | }
|
---|
522 |
|
---|
523 | rise_set(alpha, delta, lstr, lsts, ar, as)
|
---|
524 | double alpha, delta, *lstr, *lsts, *ar, *as;
|
---|
525 | {
|
---|
526 | double tar;
|
---|
527 | double h;
|
---|
528 |
|
---|
529 | tar = sin_deg(delta)/cos_deg(lat);
|
---|
530 |
|
---|
531 | if (tar < -1.0 || tar > 1.0) {
|
---|
532 |
|
---|
533 | printf("The object is circumpolar \n");
|
---|
534 | exit (1);
|
---|
535 | }
|
---|
536 |
|
---|
537 | *ar = acos_deg(tar);
|
---|
538 | *as = 360.0 - *ar;
|
---|
539 |
|
---|
540 | h = acos_deg(-tan_deg(lat) * tan_deg(delta)) / 15.0;
|
---|
541 | *lstr = 24.0 + alpha - h;
|
---|
542 |
|
---|
543 | if (*lstr > 24.0)
|
---|
544 | *lstr -= 24.0;
|
---|
545 |
|
---|
546 | *lsts = alpha + h;
|
---|
547 |
|
---|
548 | if (*lsts > 24.0)
|
---|
549 | *lsts -= 24.0;
|
---|
550 | }
|
---|
551 |
|
---|
552 | /* |
---|
553 |
|
---|
554 | */
|
---|
555 |
|
---|
556 | lst_to_hm(lst, jd, h, m)
|
---|
557 | double lst, jd;
|
---|
558 | int *h, *m;
|
---|
559 | {
|
---|
560 | double ed, gst, jzjd, t, r, b, t0, gmt;
|
---|
561 |
|
---|
562 | gst = lst + lon / 15.0;
|
---|
563 |
|
---|
564 | if (gst > 24.0)
|
---|
565 | gst -= 24.0;
|
---|
566 |
|
---|
567 | jzjd = julian_date(1,0,yr);
|
---|
568 | ed = jd-jzjd;
|
---|
569 | t = (jzjd -2415020.0)/36525.0;
|
---|
570 | r = 6.6460656+2400.05126*t+2.58E-05*t*t;
|
---|
571 | b = 24-(r-24*(yr-1900));
|
---|
572 | t0 = ed * 0.0657098 - b;
|
---|
573 |
|
---|
574 | if (t0 < 0.0)
|
---|
575 | t0 += 24;
|
---|
576 |
|
---|
577 | gmt = gst-t0;
|
---|
578 |
|
---|
579 | if (gmt<0)
|
---|
580 | gmt += 24.0;
|
---|
581 |
|
---|
582 | gmt = gmt * 0.99727 - tz;;
|
---|
583 |
|
---|
584 | if (gmt < 0)
|
---|
585 | gmt +=24.0;
|
---|
586 |
|
---|
587 | dh_to_hm(gmt, h, m);
|
---|
588 | }
|
---|
589 |
|
---|
590 | /* |
---|
591 |
|
---|
592 | */
|
---|
593 |
|
---|
594 | dh_to_hm(dh, h, m)
|
---|
595 | double dh;
|
---|
596 | int *h, *m;
|
---|
597 | {
|
---|
598 | double tempsec;
|
---|
599 |
|
---|
600 | *h = dh;
|
---|
601 | *m = (dh - *h) * 60;
|
---|
602 | tempsec = (dh - *h) * 60 - *m;
|
---|
603 | tempsec = tempsec * 60 + 0.5;
|
---|
604 |
|
---|
605 | if (tempsec > 30)
|
---|
606 | (*m)++;
|
---|
607 |
|
---|
608 | if (*m == 60) {
|
---|
609 |
|
---|
610 | *m = 0;
|
---|
611 | (*h)++;
|
---|
612 | }
|
---|
613 | }
|
---|
614 |
|
---|
615 | /* |
---|
616 |
|
---|
617 | */
|
---|
618 |
|
---|
619 | eq_to_altaz(r, d, t, alt, az)
|
---|
620 | double r, d, t;
|
---|
621 | double *alt, *az;
|
---|
622 | {
|
---|
623 | double p = 3.14159265;
|
---|
624 | double r1 = p / 180.0;
|
---|
625 | double b = lat * r1;
|
---|
626 | double l = (360 - lon) * r1;
|
---|
627 | double t5, s1, c1, c2, s2, a, h;
|
---|
628 |
|
---|
629 | r = r * 15.0 * r1;
|
---|
630 | d = d * r1;
|
---|
631 | t = t * 15.0 * r1;
|
---|
632 | t5 = t - r + l;
|
---|
633 | s1 = sin(b) * sin(d) + cos(b) * cos(d) * cos(t5);
|
---|
634 | c1 = 1 - s1 * s1;
|
---|
635 |
|
---|
636 | if (c1 > 0) {
|
---|
637 |
|
---|
638 | c1 = sqrt(c1);
|
---|
639 | h = atan(s1 / c1);
|
---|
640 |
|
---|
641 | } else {
|
---|
642 |
|
---|
643 | h = (s1 / fabs(s1)) * (p / 2.0);
|
---|
644 | }
|
---|
645 |
|
---|
646 | c2 = cos(b) * sin(d) - sin(b) * cos(d) * cos(t5);
|
---|
647 | s2 = -cos(d) * sin(t5);
|
---|
648 |
|
---|
649 | if (c2 == 0)
|
---|
650 | a = (s2/fabs(s2)) * (p/2);
|
---|
651 | else {
|
---|
652 |
|
---|
653 | a = atan(s2/c2);
|
---|
654 |
|
---|
655 | if (c2 < 0)
|
---|
656 | a=a+p;
|
---|
657 | }
|
---|
658 |
|
---|
659 | if (a<0)
|
---|
660 | a=a+2*p;
|
---|
661 |
|
---|
662 | *alt = h / r1;
|
---|
663 | *az = a / r1;
|
---|
664 | }
|
---|
665 |
|
---|
666 | /* |
---|
667 |
|
---|
668 | */
|
---|
669 |
|
---|
670 | double
|
---|
671 | gmst(j, f)
|
---|
672 | double j,f;
|
---|
673 | {
|
---|
674 | double d, j0, t, t1, t2, s;
|
---|
675 |
|
---|
676 | d = j - 2451545.0;
|
---|
677 | t = d / 36525.0;
|
---|
678 | t1 = floor(t);
|
---|
679 | j0 = t1 * 36525.0 + 2451545.0;
|
---|
680 | t2 = (j - j0 + 0.5)/36525.0;
|
---|
681 | s = 24110.54841 + 184.812866 * t1;
|
---|
682 | s += 8640184.812866 * t2;
|
---|
683 | s += 0.093104 * t * t;
|
---|
684 | s -= 0.0000062 * t * t * t;
|
---|
685 | s /= 86400.0;
|
---|
686 | s -= floor(s);
|
---|
687 | s = 24 * (s + (f - 0.5) * 1.002737909);
|
---|
688 |
|
---|
689 | if (s < 0)
|
---|
690 | s += 24.0;
|
---|
691 |
|
---|
692 | if (s > 24.0)
|
---|
693 | s -= 24.0;
|
---|
694 |
|
---|
695 | return(s);
|
---|
696 | }
|
---|