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/* phases.cpp: creates tables of lunar phase dates/times
Copyright (C) 2010, Project Pluto
This program is free software; you can redistribute it and/or
modify it under the terms of the GNU General Public License
as published by the Free Software Foundation; either version 2
of the License, or (at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program; if not, write to the Free Software
Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA
02110-1301, USA. */
/* 2013 Jun 30: 'long' integers were being written to the binary
output file, which should be 32-bit ints. */
#include <math.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <stdint.h>
#include <time.h>
#include "watdefs.h"
#include "date.h"
#include "lunar.h"
#include "afuncs.h"
#define PI 3.1415926535897932384626433832795028841971693993751058209749445923
#define VSOP_CHUNK 2767U
#define NEW_MOON 0
#define FIRST_QUARTER 1
#define FULL_MOON 2
#define LAST_QUARTER 3
const double days_per_julian_century = 36525.;
/* Some code to compute lunar phases and produce a table. It can also */
/* produce a list of the 'principal terms' used in the Chinese calendar, */
/* i.e., the times when the mean solar longitude passes a multiple of */
/* 30 degrees. When run with the '-c' (chinese calendar) switch, it */
/* produced a huge text file listing new moons and Principal Term dates; */
/* sorted and fed through the 'chinese' program, one could get the */
/* actual Chinese calendar data, which was then stored in 'chinese.dat' */
/* for use in the 'date.cpp' routines for the Chinese calendar. */
static double approx_solar_dist( double t)
{
double temp, r[3], rval;
t /= 10.; /* cvt to julian millennia */
temp = 6283.07585 * t;
r[0] = 100013989. +
1670700. * cos( 3.0984635 + temp) +
13956. * cos( 3.05525 + temp * 2) +
3084. * cos( 5.1985 + 77713.7715 * t);
r[1] = 103019. * cos( 1.107490 + temp) +
1721. * cos( 1.0644 + temp * 2.);
r[2] = 4359. * cos( 5.7846 + temp);
rval = r[0] + t * (r[1] + t * (r[2] + t));
rval *= 1.e-8;
rval *= AU_IN_KM; /* put return value into KILOMETERS */
return( rval);
}
int main( const int argc, const char **argv)
{
const double j2000 = 2451545.; /* 1.5 Jan 2000 = JD 2451545 */
int i, julian = 0, verbose = 0, chinese_calendar = 0;
double t, t0, utc_time;
double m, mp, f, e, max_date = 4000. * 365.25 + j2000;
double lunar, dist, fund[N_FUND], rate = 29.5306, t_final;
char buff[80];
double k;
FILE *log_file = NULL, *vsop_file, *data_file = NULL;
char *vsop_tbuff, FAR *vsop_data;
time_t curr_time = time( NULL);
vsop_file = fopen( "vsop.bin", "rb");
if( !vsop_file)
{
printf( "Couldn't open vsop.bin");
return( -1);
}
vsop_tbuff = (char *)malloc( VSOP_CHUNK);
vsop_data = (char *)malloc( VSOP_CHUNK * 22U);
for( i = 0; i < 22; i++)
{
if( !fread( vsop_tbuff, VSOP_CHUNK, 1, vsop_file))
{
printf( "Couldn't read VSOP data\n");
free( vsop_tbuff);
free( vsop_data);
return( -2);
}
FMEMCPY( vsop_data + (unsigned)i * VSOP_CHUNK, vsop_tbuff, VSOP_CHUNK);
}
fclose( vsop_file);
free( vsop_tbuff);
for( i = 1; i < argc; i++)
if( argv[i][0] == '-')
switch( argv[i][1])
{
case 'j': case 'J':
julian = 1;
break;
case 'c': case 'C':
chinese_calendar = 1;
break;
case 'v': case 'V':
verbose = 1;
break;
case 'l': case 'L':
log_file = fopen( argv[i] + 2, "wb");
break;
case 'd': case 'D':
data_file = fopen( argv[i] + 2, "wb");
break;
case 'm': case 'M':
max_date = (atof( argv[i] + 2) - 2000.) * 365.25 + j2000;
break;
default:
break;
}
t0 = t = j2000 + 365.25 * (atof( argv[1]) - 2000.);
k = floor( (atof( argv[1]) - 2000.) * 12.3685);
if( data_file)
{
const int32_t int32_t_to_write = (int32_t)k;
fwrite( &int32_t_to_write, 1, sizeof( int32_t), data_file);
}
t_final = max_date - 1.;
while( t_final < max_date)
for( i = 0; i < 4; i++)
{
double t2, dlon_1, dlon_2, phase_angle, solar_lon, time_lag;
static const char *phase_name[4] = {
"New moon ",
"1st qtr. ",
"Full moon",
"last qtr." };
double t_centuries, t_cen2, t_cen3, t_cen4;
t_centuries = k / 1236.85; /* first approx */
t = 2451550.09765 + 29.530588853 * k
+ (1.337e-4 - 1.5e-7 * t_centuries) * t_centuries * t_centuries;
t_centuries = (t - j2000) / 36525.;
t_cen2 = t_centuries * t_centuries;
t_cen3 = t_cen2 * t_centuries;
t_cen4 = t_cen3 * t_centuries;
m = 2.5534 + 29.10535669 * k
- 2.18e-5 * t_cen2
- 1.1e-7 * t_cen3;
mp = 201.5643 + 385.81693528 * k
+ .0107438 * t_cen2
+ 1.239e-5 * t_cen3
- 5.8e-8 * t_cen4;
f = 160.7108 + 390.67050274 * k
- 1.6541e-3 * t_cen2
- 2.27e-6 * t_cen3
+ 1.1e-8 * t_cen4;
m *= PI / 180.;
f *= PI / 180.;
mp *= PI / 180.;
e = 1. - .002516 * t_centuries - 7.4e-6 * t_cen2;
switch( i)
{
case NEW_MOON:
t += -.40720 * sin( mp)
+.17241 * sin( m) * e
+.01608 * sin( mp + mp)
+.01039 * sin( f + f)
+.00739 * sin( mp - m) * e
-.00514 * sin( mp + m) * e
+.00208 * sin( m + m) * e * e
-.00111 * sin( mp - f - f);
break;
case FIRST_QUARTER:
case LAST_QUARTER:
t += -.62801 * sin( mp)
+.17172 * sin( m) * e
-.01183 * sin( mp + m) * e
+.00862 * sin( mp + mp)
+.00804 * sin( f + f)
+.00454 * sin( mp - m) * e
+.00204 * sin( m + m) * e * e
-.00180 * sin( mp - f - f);
t += ((i == FIRST_QUARTER) ? .00306 : -.00306);
break;
case FULL_MOON:
t += -.40614 * sin( mp)
+.17302 * sin( m) * e
+.01614 * sin( mp + mp)
+.01043 * sin( f + f)
+.00734 * sin( mp - m) * e
-.00515 * sin( mp + m) * e
+.00209 * sin( m + m) * e * e
-.00111 * sin( mp - f - f);
break;
default:
break;
}
phase_angle = (double)i * 90.;
t_centuries = (t - j2000) / days_per_julian_century;
time_lag = approx_solar_dist( t_centuries) / SPEED_OF_LIGHT;
time_lag /= seconds_per_day * days_per_julian_century;
lunar_fundamentals( vsop_data, t_centuries, fund);
lunar_lon_and_dist( vsop_data, fund, &lunar, &dist, 0L);
solar_lon = calc_vsop_loc( vsop_data, 3, 0, t_centuries - time_lag, 0.);
solar_lon = solar_lon * 180. / PI - 180.;
dlon_1 = lunar - solar_lon - phase_angle;
while( dlon_1 < -180.) dlon_1 += 360.;
while( dlon_1 > 180.) dlon_1 -= 360.;
if( verbose)
{
full_ctime( buff, t, julian);
printf( " first time is %s; lon diff %f\n", buff, dlon_1);
}
t2 = t - rate * dlon_1 / 360.;
t_centuries = (t2 - j2000) / 36525.;
lunar_fundamentals( vsop_data, t_centuries, fund);
lunar_lon_and_dist( vsop_data, fund, &lunar, &dist, 0L);
solar_lon = calc_vsop_loc( vsop_data, 3, 0, t_centuries - time_lag, 0.);
solar_lon = solar_lon * 180. / PI - 180.;
dlon_2 = lunar - solar_lon - phase_angle;
while( dlon_2 < -180.) dlon_2 += 360.;
while( dlon_2 > 180.) dlon_2 -= 360.;
if( verbose)
{
full_ctime( buff, t2, julian);
printf( " second time is %s; lon diff %f\n", buff, dlon_2);
}
t_final = (t * dlon_2 - t2 * dlon_1) / (dlon_2 - dlon_1);
utc_time = t_final - td_minus_utc( t_final) / seconds_per_day;
full_ctime( buff, utc_time, julian);
if( log_file)
{
if( chinese_calendar)
fprintf( log_file, "%7ld %s\n",
(long)floor( utc_time - 1. / 6.), buff);
else
fprintf( log_file, "%s: %s\n", phase_name[i], buff);
}
buff[17] = '\0'; /* trim the seconds */
if( !chinese_calendar)
{
printf( "%s ", buff);
if( i == 3)
printf( "\n");
}
if( data_file)
{
double diff = t_final - ( 2451550.09765 + 29.530588853 * k);
int32_t int32_t_to_write;
diff *= seconds_per_day;
if( verbose)
printf( "Time diff %f\n", diff);
int32_t_to_write = (int32_t)diff;
fwrite( &int32_t_to_write, 1, sizeof( int32_t), data_file);
}
if( chinese_calendar)
{
k++;
i = 4;
}
else /* just moving to next _phase_ */
k += .25;
if( curr_time != time( NULL))
{
curr_time = time( NULL);
printf( "JD %.3f (%.3f)\r", t_final,
(t_final - j2000) / 365.25 + 2000.);
}
}
if( chinese_calendar)
while( t0 < max_date)
{
double t_centuries, time_lag, delta_t = 1.;
double solar_lon;
const double thirty_deg = PI / 6.;
long solar_month = 0L, year;
while( fabs( delta_t) > .00001) /* resolution a little better than 1s */
{
t_centuries = (t0 - j2000) / 36525.;
time_lag = approx_solar_dist( t_centuries) / SPEED_OF_LIGHT;
time_lag /= seconds_per_day * days_per_julian_century;
solar_lon = calc_vsop_loc( vsop_data, 3, 0, t_centuries - time_lag, 0.);
solar_month = (long)floor( solar_lon / thirty_deg + .5);
solar_lon -= (double)solar_month * thirty_deg;
delta_t = solar_lon * 365.25 / (2. * PI);
t0 -= delta_t;
if( verbose)
printf( "delta_t: %.5f JD %.5f\n", delta_t, t0);
}
solar_month = (solar_month + 7) % 12; /* flip around to winter sol */
year = (long)
floor( (t0 - (double)solar_month * 30.5 - 100.) / 365.25);
year -= 2074L;
utc_time = t0 - td_minus_utc( t0) / seconds_per_day;
full_ctime( buff, utc_time, julian);
if( log_file)
fprintf( log_file, "%7ld z %s %2ld %5ld\n",
(long)floor( utc_time - 1. / 6.),
buff, solar_month + 1, year);
if( chinese_calendar && curr_time != time( NULL))
{
curr_time = time( NULL);
printf( "%7ld z %s %2ld %5ld: %.3f\n",
(long)floor( utc_time - 1. / 6.),
buff, solar_month + 1, year,
(utc_time - j2000) / 365.25 + 2000.);
}
t0 += 365.25 / 12.;
}
if( data_file)
fclose( data_file);
if( log_file)
fclose( log_file);
return( 0);
}
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