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/*
* Sun clock. X11 version by John Mackin.
*
* This program was derived from, and is still in part identical with, the
* Suntools Sun clock program whose author's comment appears immediately
* below. Please preserve both notices.
*
* The X11R3/4 version of this program was written by John Mackin, at the
* Basser Department of Computer Science, University of Sydney, Sydney,
* New South Wales, Australia; <john@cs.su.oz.AU>. This program, like
* the one it was derived from, is in the public domain: `Love is the
* law, love under will.'
*/
/*
Sun clock
Designed and implemented by John Walker in November of 1988.
Version for the Sun Workstation.
The algorithm used to calculate the position of the Sun is given in
Chapter 18 of:
"Astronomical Formulae for Calculators" by Jean Meeus, Third Edition,
Richmond: Willmann-Bell, 1985. This book can be obtained from:
Willmann-Bell
P.O. Box 35025
Richmond, VA 23235
USA
Phone: (804) 320-7016
This program was written by:
John Walker
Autodesk, Inc.
2320 Marinship Way
Sausalito, CA 94965
USA
Fax: (415) 389-9418
Voice: (415) 332-2344 Ext. 2829
Usenet: {sun,well,uunet}!acad!kelvin
or: kelvin@acad.uu.net
modified for interactive maps by
Stephen Martin
Fujitsu Systems Business of Canada
smartin@fujitsu.ca
This program is in the public domain: "Do what thou wilt shall be the
whole of the law". I'd appreciate receiving any bug fixes and/or
enhancements, which I'll incorporate in future versions of the
program. Please leave the original attribution information intact so
that credit and blame may be properly apportioned.
Revision history:
1.0 12/21/89 Initial version.
8/24/89 Finally got around to submitting.
1.1 8/31/94 Version with interactive map.
1.2 10/12/94 Fixes for HP and Solaris, new icon bitmap
1.3 11/01/94 Timezone now shown in icon
1.4 03/29/98 Fixed city drawing, added icon animation
*/
#include "sun.h"
#include <qpe/qmath.h>
/* PROJILLUM -- Project illuminated area on the map. */
void
projillum(wtab, xdots, ydots, dec)
short *wtab;
int xdots, ydots;
double dec;
{
int i, ftf = 1, ilon, ilat, lilon = 0, lilat = 0, xt;
double m, x, y, z, th, lon, lat, s, c;
/* Clear unoccupied cells in width table */
for (i = 0; i < ydots; i++)
wtab[i] = -1;
/* Build transformation for declination */
s = qSin(-dtr(dec));
c = qCos(-dtr(dec));
/* Increment over a semicircle of illumination */
for (th = -(PI / 2); th <= PI / 2 + 0.001;
th += PI / TERMINC) {
/* Transform the point through the declination rotation. */
x = -s * qSin(th);
y = qCos(th);
z = c * qSin(th);
/* Transform the resulting co-ordinate through the
map projection to obtain screen co-ordinates. */
lon = (y == 0 && x == 0) ? 0.0 : rtd(qATan2(y, x));
lat = rtd(qASin(z));
ilat = ydots - (lat + 90) * (ydots / 180.0);
ilon = lon * (xdots / 360.0);
if (ftf) {
/* First time. Just save start co-ordinate. */
lilon = ilon;
lilat = ilat;
ftf = 0;
} else {
/* Trace out the line and set the width table. */
if (lilat == ilat) {
wtab[(ydots - 1) - ilat] = ilon == 0 ? 1 : ilon;
} else {
m = ((double) (ilon - lilon)) / (ilat - lilat);
for (i = lilat; i != ilat; i += sgn(ilat - lilat)) {
xt = lilon + qFloor((m * (i - lilat)) + 0.5);
wtab[(ydots - 1) - i] = xt == 0 ? 1 : xt;
}
}
lilon = ilon;
lilat = ilat;
}
}
/* Now tweak the widths to generate full illumination for
the correct pole. */
if (dec < 0.0) {
ilat = ydots - 1;
lilat = -1;
} else {
ilat = 0;
lilat = 1;
}
for (i = ilat; i != ydots / 2; i += lilat) {
if (wtab[i] != -1) {
while (1) {
wtab[i] = xdots / 2;
if (i == ilat)
break;
i -= lilat;
}
break;
}
}
}
/*
* Sun clock - astronomical routines.
*/
/* JDATE -- Convert internal GMT date and time to Julian day
and fraction. */
long
jdate(t)
struct tm *t;
{
long c, m, y;
y = t->tm_year + 1900;
m = t->tm_mon + 1;
if (m > 2)
m = m - 3;
else {
m = m + 9;
y--;
}
c = y / 100L; /* Compute century */
y -= 100L * c;
return t->tm_mday + (c * 146097L) / 4 + (y * 1461L) / 4 +
(m * 153L + 2) / 5 + 1721119L;
}
/* JTIME -- Convert internal GMT date and time to astronomical
Julian time (i.e. Julian date plus day fraction,
expressed as a double). */
double
jtime(t)
struct tm *t;
{
return (jdate(t) - 0.5) +
(((long) t->tm_sec) +
60L * (t->tm_min + 60L * t->tm_hour)) / 86400.0;
}
/* KEPLER -- Solve the equation of Kepler. */
double
kepler(m, ecc)
double m, ecc;
{
double e, delta;
#define EPSILON 1E-6
e = m = dtr(m);
do {
delta = e - ecc * qSin(e) - m;
e -= delta / (1 - ecc * qCos(e));
} while (qFabs(delta) > EPSILON);
return e;
}
/* SUNPOS -- Calculate position of the Sun. JD is the Julian date
of the instant for which the position is desired and
APPARENT should be nonzero if the apparent position
(corrected for nutation and aberration) is desired.
The Sun's co-ordinates are returned in RA and DEC,
both specified in degrees (divide RA by 15 to obtain
hours). The radius vector to the Sun in astronomical
units is returned in RV and the Sun's longitude (true
or apparent, as desired) is returned as degrees in
SLONG. */
void
sunpos(jd, apparent, ra, dec, rv, slong)
double jd;
int apparent;
double *ra, *dec, *rv, *slong;
{
double t, t2, t3, l, m, e, ea, v, theta, omega,
eps;
/* Time, in Julian centuries of 36525 ephemeris days,
measured from the epoch 1900 January 0.5 ET. */
t = (jd - 2415020.0) / 36525.0;
t2 = t * t;
t3 = t2 * t;
/* Geometric mean longitude of the Sun, referred to the
mean equinox of the date. */
l = fixangle(279.69668 + 36000.76892 * t + 0.0003025 * t2);
/* Sun's mean anomaly. */
m = fixangle(358.47583 + 35999.04975*t - 0.000150*t2 - 0.0000033*t3);
/* Eccentricity of the Earth's orbit. */
e = 0.01675104 - 0.0000418 * t - 0.000000126 * t2;
/* Eccentric anomaly. */
ea = kepler(m, e);
/* True anomaly */
v = fixangle(2 * rtd(qATan(qSqrt((1 + e) / (1 - e)) * qTan(ea / 2))));
/* Sun's true longitude. */
theta = l + v - m;
/* Obliquity of the ecliptic. */
eps = 23.452294 - 0.0130125 * t - 0.00000164 * t2 + 0.000000503 * t3;
/* Corrections for Sun's apparent longitude, if desired. */
if (apparent) {
omega = fixangle(259.18 - 1934.142 * t);
theta = theta - 0.00569 - 0.00479 * qSin(dtr(omega));
eps += 0.00256 * qCos(dtr(omega));
}
/* Return Sun's longitude and radius vector */
*slong = theta;
*rv = (1.0000002 * (1 - e * e)) / (1 + e * qCos(dtr(v)));
/* Determine solar co-ordinates. */
*ra =
fixangle(rtd(qATan2(qCos(dtr(eps)) * qSin(dtr(theta)), qCos(dtr(theta)))));
*dec = rtd(qASin(sin(dtr(eps)) * qSin(dtr(theta))));
}
/* GMST -- Calculate Greenwich Mean Siderial Time for a given
instant expressed as a Julian date and fraction. */
double
gmst(jd)
double jd;
{
double t, theta0;
/* Time, in Julian centuries of 36525 ephemeris days,
measured from the epoch 1900 January 0.5 ET. */
t = ((qFloor(jd + 0.5) - 0.5) - 2415020.0) / 36525.0;
theta0 = 6.6460656 + 2400.051262 * t + 0.00002581 * t * t;
t = (jd + 0.5) - (qFloor(jd + 0.5));
theta0 += (t * 24.0) * 1.002737908;
theta0 = (theta0 - 24.0 * (qFloor(theta0 / 24.0)));
return theta0;
}
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