/*-
* SPDX-License-Identifier: BSD-2-Clause
*
* Copyright (c) 2009-2010 Edwin Groothuis <edwin@FreeBSD.org>.
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
*
* THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*
*/
#include <sys/cdefs.h>
/*
* This code is created to match the formulas available at:
* Formula and examples obtained from "How to Calculate alt/az: SAAO" at
* http://old.saao.ac.za/public-info/sun-moon-stars/sun-index/how-to-calculate-altaz/
*/
#include <stdio.h>
#include <stdlib.h>
#include <limits.h>
#include <math.h>
#include <string.h>
#include <time.h>
#include "calendar.h"
#define D2R(m) ((m) / 180 * M_PI)
#define R2D(m) ((m) * 180 / M_PI)
#define SIN(x) (sin(D2R(x)))
#define COS(x) (cos(D2R(x)))
#define TAN(x) (tan(D2R(x)))
#define ASIN(x) (R2D(asin(x)))
#define ATAN(x) (R2D(atan(x)))
#ifdef NOTDEF
static void
comp(char *s, double v, double c)
{
printf("%-*s %*g %*g %*g\n", 15, s, 15, v, 15, c, 15, v - c);
}
int expY;
double expZJ = 30.5;
double expUTHM = 8.5;
double expD = 34743.854;
double expT = 0.9512349;
double expL = 324.885;
double expM = 42.029;
double expepsilon = 23.4396;
double explambda = 326.186;
double expalpha = 328.428;
double expDEC = -12.789;
double expeastlongitude = 17.10;
double explatitude = -22.57;
double expHA = -37.673;
double expALT = 49.822;
double expAZ = 67.49;
#endif
static double
fixup(double *d)
{
if (*d < 0) {
while (*d < 0)
*d += 360;
} else {
while (*d > 360)
*d -= 360;
}
return (*d);
}
static double ZJtable[] = {
0, -0.5, 30.5, 58.5, 89.5, 119.5, 150.5, 180.5, 211.5, 242.5, 272.5, 303.5, 333.5 };
static void
sunpos(int inYY, int inMM, int inDD, double UTCOFFSET, int inHOUR, int inMIN,
int inSEC, double eastlongitude, double latitude, double *L, double *DEC)
{
int Y;
double ZJ, D, T, M, epsilon, lambda, alpha, HA, UTHM;
ZJ = ZJtable[inMM];
if (inMM <= 2 && isleap(inYY))
ZJ -= 1.0;
UTHM = inHOUR + inMIN / FMINSPERHOUR + inSEC / FSECSPERHOUR - UTCOFFSET;
Y = inYY - 1900; /* 1 */
D = floor(365.25 * Y) + ZJ + inDD + UTHM / FHOURSPERDAY; /* 3 */
T = D / 36525.0; /* 4 */
*L = 279.697 + 36000.769 * T; /* 5 */
fixup(L);
M = 358.476 + 35999.050 * T; /* 6 */
fixup(&M);
epsilon = 23.452 - 0.013 * T; /* 7 */
fixup(&epsilon);
lambda = *L + (1.919 - 0.005 * T) * SIN(M) + 0.020 * SIN(2 * M);/* 8 */
fixup(&lambda);
alpha = ATAN(TAN(lambda) * COS(epsilon)); /* 9 */
/* Alpha should be in the same quadrant as lamba */
{
int lssign = sin(D2R(lambda)) < 0 ? -1 : 1;
int lcsign = cos(D2R(lambda)) < 0 ? -1 : 1;
while (((sin(D2R(alpha)) < 0) ? -1 : 1) != lssign
|| ((cos(D2R(alpha)) < 0) ? -1 : 1) != lcsign)
alpha += 90.0;
}
fixup(&alpha);
*DEC = ASIN(SIN(lambda) * SIN(epsilon)); /* 10 */
fixup(DEC);
fixup(&eastlongitude);
HA = *L - alpha + 180 + 15 * UTHM + eastlongitude; /* 12 */
fixup(&HA);
fixup(&latitude);
#ifdef NOTDEF
printf("%02d/%02d %02d:%02d:%02d l:%g d:%g h:%g\n",
inMM, inDD, inHOUR, inMIN, inSEC, latitude, *DEC, HA);
#endif
return;
/*
* The following calculations are not used, so to save time
* they are not calculated.
*/
#ifdef NOTDEF
*ALT = ASIN(SIN(latitude) * SIN(*DEC) +
COS(latitude) * COS(*DEC) * COS(HA)); /* 13 */
fixup(ALT);
*AZ = ATAN(SIN(HA) /
(COS(HA) * SIN(latitude) - TAN(*DEC) * COS(latitude))); /* 14 */
if (*ALT > 180)
*ALT -= 360;
if (*ALT < -180)
*ALT += 360;
printf("a:%g a:%g\n", *ALT, *AZ);
#endif
#ifdef NOTDEF
printf("Y:\t\t\t %d\t\t %d\t\t %d\n", Y, expY, Y - expY);
comp("ZJ", ZJ, expZJ);
comp("UTHM", UTHM, expUTHM);
comp("D", D, expD);
comp("T", T, expT);
comp("L", L, fixup(&expL));
comp("M", M, fixup(&expM));
comp("epsilon", epsilon, fixup(&expepsilon));
comp("lambda", lambda, fixup(&explambda));
comp("alpha", alpha, fixup(&expalpha));
comp("DEC", DEC, fixup(&expDEC));
comp("eastlongitude", eastlongitude, fixup(&expeastlongitude));
comp("latitude", latitude, fixup(&explatitude));
comp("HA", HA, fixup(&expHA));
comp("ALT", ALT, fixup(&expALT));
comp("AZ", AZ, fixup(&expAZ));
#endif
}
#define SIGN(a) (((a) > 180) ? -1 : 1)
#define ANGLE(a, b) (((a) < (b)) ? 1 : -1)
#define SHOUR(s) ((s) / 3600)
#define SMIN(s) (((s) % 3600) / 60)
#define SSEC(s) ((s) % 60)
#define HOUR(h) ((h) / 4)
#define MIN(h) (15 * ((h) % 4))
#define SEC(h) 0
#define DEBUG1(y, m, d, hh, mm, pdec, dec) \
printf("%4d-%02d-%02d %02d:%02d:00 - %7.7g -> %7.7g\n", \
y, m, d, hh, mm, pdec, dec)
#define DEBUG2(y, m, d, hh, mm, pdec, dec, pang, ang) \
printf("%4d-%02d-%02d %02d:%02d:00 - %7.7g -> %7.7g - %d -> %d\n", \
y, m, d, hh, mm, pdec, dec, pang, ang)
void
equinoxsolstice(int year, double UTCoffset, int *equinoxdays, int *solsticedays)
{
double fe[2], fs[2];
fequinoxsolstice(year, UTCoffset, fe, fs);
equinoxdays[0] = round(fe[0]);
equinoxdays[1] = round(fe[1]);
solsticedays[0] = round(fs[0]);
solsticedays[1] = round(fs[1]);
}
void
fequinoxsolstice(int year, double UTCoffset, double *equinoxdays, double *solsticedays)
{
double dec, prevdec, L;
int h, d, prevangle, angle;
int found = 0;
double decleft, decright, decmiddle;
int dial, s;
int *cumdays;
cumdays = cumdaytab[isleap(year)];
/*
* Find the first equinox, somewhere in March:
* It happens when the returned value "dec" goes from
* [350 ... 360> -> [0 ... 10]
*/
for (d = 18; d < 31; d++) {
/* printf("Comparing day %d to %d.\n", d, d+1); */
sunpos(year, 3, d, UTCoffset, 0, 0, 0, 0.0, 0.0, &L, &decleft);
sunpos(year, 3, d + 1, UTCoffset, 0, 0, 0, 0.0, 0.0,
&L, &decright);
/* printf("Found %g and %g.\n", decleft, decright); */
if (SIGN(decleft) == SIGN(decright))
continue;
dial = SECSPERDAY;
s = SECSPERDAY / 2;
while (s > 0) {
/* printf("Obtaining %d (%02d:%02d)\n",
dial, SHOUR(dial), SMIN(dial)); */
sunpos(year, 3, d, UTCoffset,
SHOUR(dial), SMIN(dial), SSEC(dial),
0.0, 0.0, &L, &decmiddle);
/* printf("Found %g\n", decmiddle); */
if (SIGN(decleft) == SIGN(decmiddle)) {
decleft = decmiddle;
dial += s;
} else {
decright = decmiddle;
dial -= s;
}
/*
printf("New boundaries: %g - %g\n", decleft, decright);
*/
s /= 2;
}
equinoxdays[0] = 1 + cumdays[3] + d + (dial / FSECSPERDAY);
break;
}
/* Find the second equinox, somewhere in September:
* It happens when the returned value "dec" goes from
* [10 ... 0] -> <360 ... 350]
*/
for (d = 18; d < 31; d++) {
/* printf("Comparing day %d to %d.\n", d, d+1); */
sunpos(year, 9, d, UTCoffset, 0, 0, 0, 0.0, 0.0, &L, &decleft);
sunpos(year, 9, d + 1, UTCoffset, 0, 0, 0, 0.0, 0.0,
&L, &decright);
/* printf("Found %g and %g.\n", decleft, decright); */
if (SIGN(decleft) == SIGN(decright))
continue;
dial = SECSPERDAY;
s = SECSPERDAY / 2;
while (s > 0) {
/* printf("Obtaining %d (%02d:%02d)\n",
dial, SHOUR(dial), SMIN(dial)); */
sunpos(year, 9, d, UTCoffset,
SHOUR(dial), SMIN(dial), SSEC(dial),
0.0, 0.0, &L, &decmiddle);
/* printf("Found %g\n", decmiddle); */
if (SIGN(decleft) == SIGN(decmiddle)) {
decleft = decmiddle;
dial += s;
} else {
decright = decmiddle;
dial -= s;
}
/*
printf("New boundaries: %g - %g\n", decleft, decright);
*/
s /= 2;
}
equinoxdays[1] = 1 + cumdays[9] + d + (dial / FSECSPERDAY);
break;
}
/*
* Find the first solstice, somewhere in June:
* It happens when the returned value "dec" peaks
* [40 ... 45] -> [45 ... 40]
*/
found = 0;
prevdec = 0;
prevangle = 1;
for (d = 18; d < 31; d++) {
for (h = 0; h < 4 * HOURSPERDAY; h++) {
sunpos(year, 6, d, UTCoffset, HOUR(h), MIN(h), SEC(h),
0.0, 0.0, &L, &dec);
angle = ANGLE(prevdec, dec);
if (prevangle != angle) {
#ifdef NOTDEF
DEBUG2(year, 6, d, HOUR(h), MIN(h),
prevdec, dec, prevangle, angle);
#endif
solsticedays[0] = 1 + cumdays[6] + d +
((h / 4.0) / 24.0);
found = 1;
break;
}
prevdec = dec;
prevangle = angle;
}
if (found)
break;
}
/*
* Find the second solstice, somewhere in December:
* It happens when the returned value "dec" peaks
* [315 ... 310] -> [310 ... 315]
*/
found = 0;
prevdec = 360;
prevangle = -1;
for (d = 18; d < 31; d++) {
for (h = 0; h < 4 * HOURSPERDAY; h++) {
sunpos(year, 12, d, UTCoffset, HOUR(h), MIN(h), SEC(h),
0.0, 0.0, &L, &dec);
angle = ANGLE(prevdec, dec);
if (prevangle != angle) {
#ifdef NOTDEF
DEBUG2(year, 12, d, HOUR(h), MIN(h),
prevdec, dec, prevangle, angle);
#endif
solsticedays[1] = 1 + cumdays[12] + d +
((h / 4.0) / 24.0);
found = 1;
break;
}
prevdec = dec;
prevangle = angle;
}
if (found)
break;
}
return;
}
int
calculatesunlongitude30(int year, int degreeGMToffset, int *ichinesemonths)
{
int m, d, h;
double dec;
double curL, prevL;
int *pichinesemonths, *monthdays, *cumdays, i;
int firstmonth330 = -1;
cumdays = cumdaytab[isleap(year)];
monthdays = monthdaytab[isleap(year)];
pichinesemonths = ichinesemonths;
h = 0;
sunpos(year - 1, 12, 31,
-24 * (degreeGMToffset / 360.0),
HOUR(h), MIN(h), SEC(h), 0.0, 0.0, &prevL, &dec);
for (m = 1; m <= 12; m++) {
for (d = 1; d <= monthdays[m]; d++) {
for (h = 0; h < 4 * HOURSPERDAY; h++) {
sunpos(year, m, d,
-24 * (degreeGMToffset / 360.0),
HOUR(h), MIN(h), SEC(h),
0.0, 0.0, &curL, &dec);
if (curL < 180 && prevL > 180) {
*pichinesemonths = cumdays[m] + d;
#ifdef DEBUG
printf("%04d-%02d-%02d %02d:%02d - %d %g\n",
year, m, d, HOUR(h), MIN(h), *pichinesemonths, curL);
#endif
pichinesemonths++;
} else {
for (i = 0; i <= 360; i += 30)
if (curL > i && prevL < i) {
*pichinesemonths =
cumdays[m] + d;
#ifdef DEBUG
printf("%04d-%02d-%02d %02d:%02d - %d %g\n",
year, m, d, HOUR(h), MIN(h), *pichinesemonths, curL);
#endif
if (i == 330)
firstmonth330 = *pichinesemonths;
pichinesemonths++;
}
}
prevL = curL;
}
}
}
*pichinesemonths = -1;
return (firstmonth330);
}
#ifdef NOTDEF
int
main(int argc, char **argv)
{
/*
year Mar June Sept Dec
day time day time day time day time
2004 20 06:49 21 00:57 22 16:30 21 12:42
2005 20 12:33 21 06:46 22 22:23 21 18:35
2006 20 18:26 21 12:26 23 04:03 22 00:22
2007 21 00:07 21 18:06 23 09:51 22 06:08
2008 20 05:48 20 23:59 22 15:44 21 12:04
2009 20 11:44 21 05:45 22 21:18 21 17:47
2010 20 17:32 21 11:28 23 03:09 21 23:38
2011 20 23:21 21 17:16 23 09:04 22 05:30
2012 20 05:14 20 23:09 22 14:49 21 11:11
2013 20 11:02 21 05:04 22 20:44 21 17:11
2014 20 16:57 21 10:51 23 02:29 21 23:03
2015 20 22:45 21 16:38 23 08:20 22 04:48
2016 20 04:30 20 22:34 22 14:21 21 10:44
2017 20 10:28 21 04:24 22 20:02 21 16:28
*/
int eq[2], sol[2];
equinoxsolstice(strtol(argv[1], NULL, 10), 0.0, eq, sol);
printf("%d - %d - %d - %d\n", eq[0], sol[0], eq[1], sol[1]);
return(0);
}
#endif
plain