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swehouse.c
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swehouse.c
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/*******************************************************
module swehouse.c
house and (simple) aspect calculation
************************************************************/
/* Copyright (C) 1997 - 2021 Astrodienst AG, Switzerland. All rights reserved.
License conditions
------------------
This file is part of Swiss Ephemeris.
Swiss Ephemeris is distributed with NO WARRANTY OF ANY KIND. No author
or distributor accepts any responsibility for the consequences of using it,
or for whether it serves any particular purpose or works at all, unless he
or she says so in writing.
Swiss Ephemeris is made available by its authors under a dual licensing
system. The software developer, who uses any part of Swiss Ephemeris
in his or her software, must choose between one of the two license models,
which are
a) GNU Affero General Public License (AGPL)
b) Swiss Ephemeris Professional License
The choice must be made before the software developer distributes software
containing parts of Swiss Ephemeris to others, and before any public
service using the developed software is activated.
If the developer choses the AGPL software license, he or she must fulfill
the conditions of that license, which includes the obligation to place his
or her whole software project under the AGPL or a compatible license.
See https://www.gnu.org/licenses/agpl-3.0.html
If the developer choses the Swiss Ephemeris Professional license,
he must follow the instructions as found in http://www.astro.com/swisseph/
and purchase the Swiss Ephemeris Professional Edition from Astrodienst
and sign the corresponding license contract.
The License grants you the right to use, copy, modify and redistribute
Swiss Ephemeris, but only under certain conditions described in the License.
Among other things, the License requires that the copyright notices and
this notice be preserved on all copies.
Authors of the Swiss Ephemeris: Dieter Koch and Alois Treindl
The authors of Swiss Ephemeris have no control or influence over any of
the derived works, i.e. over software or services created by other
programmers which use Swiss Ephemeris functions.
The names of the authors or of the copyright holder (Astrodienst) must not
be used for promoting any software, product or service which uses or contains
the Swiss Ephemeris. This copyright notice is the ONLY place where the
names of the authors can legally appear, except in cases where they have
given special permission in writing.
The trademarks 'Swiss Ephemeris' and 'Swiss Ephemeris inside' may be used
for promoting such software, products or services.
*/
//#include "sweodef.h"
#include "swephexp.h"
#include "sweph.h"
#include "swephlib.h"
#include "swehouse.h"
#include <string.h>
#define MILLIARCSEC (1.0 / 3600000.0)
#define SOLAR_YEAR 365.24219893
#define ARMCS ((SOLAR_YEAR+1) / SOLAR_YEAR * 360)
static double Asc1(double, double, double, double);
static double AscDash(double, double, double, double);
static double Asc2(double, double, double, double);
static int CalcH(double th, double fi, double ekl, char hsy, struct houses *hsp);
static int sidereal_houses_ecl_t0(double tjde,
double armc,
double eps,
double *nutlo,
double lat,
int hsys,
double *cusp,
double *ascmc,
double *cusp_speed,
double *ascmc_speed,
char *serr);
static int sidereal_houses_trad(double tjde,
int32 iflag,
double armc,
double eps,
double nutl,
double lat,
int hsys,
double *cusp,
double *ascmc,
double *cusp_speed,
double *ascmc_speed,
char *serr);
static int sidereal_houses_ssypl(double tjde,
double armc,
double eps,
double *nutlo,
double lat,
int hsys,
double *cusp,
double *ascmc,
double *cusp_speed,
double *ascmc_speed,
char *serr);
static int sunshine_solution_makransky(double ramc, double lat, double ecl, struct houses *hsp);
static int sunshine_solution_treindl(double ramc, double lat, double ecl, struct houses *hsp);
#if 0
static void test_Asc1();
#endif
/* housasp.c
* cusps are returned in double cusp[13],
* or cusp[37] with house system 'G'.
* cusp[1...12] houses 1 - 12
* additional points are returned in ascmc[10].
* ascmc[0] = ascendant
* ascmc[1] = mc
* ascmc[2] = armc
* ascmc[3] = vertex
* ascmc[4] = equasc * "equatorial ascendant" *
* ascmc[5] = coasc1 * "co-ascendant" (W. Koch) *
* ascmc[6] = coasc2 * "co-ascendant" (M. Munkasey) *
* ascmc[7] = polasc * "polar ascendant" (M. Munkasey) *
*/
int CALL_CONV swe_houses(double tjd_ut,
double geolat,
double geolon,
int hsys,
double *cusp,
double *ascmc)
{
int i, retc = 0;
double armc, eps, nutlo[2];
double tjde = tjd_ut + swe_deltat_ex(tjd_ut, -1, NULL);
eps = swi_epsiln(tjde, 0) * RADTODEG;
swi_nutation(tjde, 0, nutlo);
for (i = 0; i < 2; i++)
nutlo[i] *= RADTODEG;
armc = swe_degnorm(swe_sidtime0(tjd_ut, eps + nutlo[1], nutlo[0]) * 15 + geolon);
if (toupper(hsys) == 'I') { // compute sun declination for sunshine houses
int flags = SEFLG_SPEED| SEFLG_EQUATORIAL;
double xp[6];
int result = swe_calc_ut(tjd_ut, SE_SUN, flags, xp, NULL);
if (result < 0) {
// in case of failure, Porphyry houses
result = swe_houses_armc_ex2(armc, geolat, eps + nutlo[1], 'O', cusp, ascmc, NULL, NULL, NULL);
return ERR;
}
ascmc[9] = xp[1]; // declination in ascmc[9];
}
#ifdef TRACE
swi_open_trace(NULL);
if (swi_trace_count <= TRACE_COUNT_MAX) {
if (swi_fp_trace_c != NULL) {
fputs("\n/*SWE_HOUSES*/\n", swi_fp_trace_c);
fprintf(swi_fp_trace_c, "#if 0\n");
fprintf(swi_fp_trace_c, " tjd = %.9f;", tjd_ut);
fprintf(swi_fp_trace_c, " geolon = %.9f;", geolon);
fprintf(swi_fp_trace_c, " geolat = %.9f;", geolat);
fprintf(swi_fp_trace_c, " hsys = %d;\n", hsys);
fprintf(swi_fp_trace_c, " retc = swe_houses(tjd, geolat, geolon, hsys, cusp, ascmc);\n");
fprintf(swi_fp_trace_c, " /* swe_houses calls swe_houses_armc as follows: */\n");
fprintf(swi_fp_trace_c, "#endif\n");
fflush(swi_fp_trace_c);
}
}
#endif
retc = swe_houses_armc_ex2(armc, geolat, eps + nutlo[1], hsys, cusp, ascmc, NULL, NULL, NULL);
return retc;
}
// For explanation see function swe_houses_ex2() below.
int CALL_CONV swe_houses_ex(double tjd_ut,
int32 iflag,
double geolat,
double geolon,
int hsys,
double *cusp,
double *ascmc)
{
return swe_houses_ex2(tjd_ut, iflag, geolat, geolon, hsys, cusp, ascmc, NULL, NULL, NULL);
}
/*
* Function returns OK or ERR.
* cusps are returned in double cusp[13],
* or cusp[37] with house system 'G'.
* cusp[1...12] houses 1 - 12
* ascmc[0...10] additional points:
* ascmc[0] = ascendant
* ascmc[1] = mc
* ascmc[2] = armc
* ascmc[3] = vertex
* ascmc[4] = equasc * "equatorial ascendant" *
* ascmc[5] = coasc1 * "co-ascendant" (W. Koch) *
* ascmc[6] = coasc2 * "co-ascendant" (M. Munkasey) *
* ascmc[7] = polasc * "polar ascendant" (M. Munkasey) *
* cusp_speed[1...12] speeds (daily motions) of the cusps.
* ascmc_speed[0...10] speeds (daily motions) of the additional points.
* serr error message or warning
*/
int CALL_CONV swe_houses_ex2(double tjd_ut,
int32 iflag,
double geolat,
double geolon,
int hsys,
double *cusp,
double *ascmc,
double *cusp_speed,
double *ascmc_speed,
char *serr)
{
int i, retc = 0;
double armc, eps_mean, nutlo[2];
double tjde = tjd_ut + swe_deltat_ex(tjd_ut, iflag, NULL);
struct sid_data *sip = &swed.sidd;
double xp[6];
int retc_makr = 0;
int ito;
if (toupper(hsys) == 'G')
ito = 36;
else
ito = 12;
if ((iflag & SEFLG_SIDEREAL) && !swed.ayana_is_set)
swe_set_sid_mode(SE_SIDM_FAGAN_BRADLEY, 0, 0);
eps_mean = swi_epsiln(tjde, 0) * RADTODEG;
swi_nutation(tjde, 0, nutlo);
for (i = 0; i < 2; i++)
nutlo[i] *= RADTODEG;
if (iflag & SEFLG_NONUT) {
for (i = 0; i < 2; i++)
nutlo[i] = 0;
}
#ifdef TRACE
swi_open_trace(NULL);
if (swi_trace_count <= TRACE_COUNT_MAX) {
if (swi_fp_trace_c != NULL) {
fputs("\n/*SWE_HOUSES_EX*/\n", swi_fp_trace_c);
fprintf(swi_fp_trace_c, "#if 0\n");
fprintf(swi_fp_trace_c, " tjd = %.9f;", tjd_ut);
fprintf(swi_fp_trace_c, " iflag = %d;\n", iflag);
fprintf(swi_fp_trace_c, " geolon = %.9f;", geolon);
fprintf(swi_fp_trace_c, " geolat = %.9f;", geolat);
fprintf(swi_fp_trace_c, " hsys = %d;\n", hsys);
fprintf(swi_fp_trace_c, " retc = swe_houses_ex(tjd, iflag, geolat, geolon, hsys, cusp, ascmc);\n");
fprintf(swi_fp_trace_c, " /* swe_houses calls swe_houses_armc as follows: */\n");
fprintf(swi_fp_trace_c, "#endif\n");
fflush(swi_fp_trace_c);
}
}
#endif
/*houses_to_sidereal(tjde, geolat, hsys, eps, cusp, ascmc, iflag);*/
armc = swe_degnorm(swe_sidtime0(tjd_ut, eps_mean + nutlo[1], nutlo[0]) * 15 + geolon);
//fprintf(stderr, "armc=%f, iflag=%d\n", armc, iflag);
if (toupper(hsys) == 'I') { // compute sun declination for sunshine houses
int flags = SEFLG_SPEED| SEFLG_EQUATORIAL;
retc_makr = swe_calc_ut(tjd_ut, SE_SUN, flags, xp, NULL);
if (retc_makr < 0) {
// in case of failure, provide Porphyry houses
hsys = (int) 'O';
}
ascmc[9] = xp[1]; // declination in ascmc[9];
}
if (iflag & SEFLG_SIDEREAL) {
if (sip->sid_mode & SE_SIDBIT_ECL_T0)
retc = sidereal_houses_ecl_t0(tjde, armc, eps_mean + nutlo[1], nutlo, geolat, hsys, cusp, ascmc, cusp_speed, ascmc_speed, serr);
else if (sip->sid_mode & SE_SIDBIT_SSY_PLANE)
retc = sidereal_houses_ssypl(tjde, armc, eps_mean + nutlo[1], nutlo, geolat, hsys, cusp, ascmc, cusp_speed, ascmc_speed, serr);
else
retc = sidereal_houses_trad(tjde, iflag, armc, eps_mean + nutlo[1], nutlo[0], geolat, hsys, cusp, ascmc, cusp_speed, ascmc_speed, serr);
} else {
retc = swe_houses_armc_ex2(armc, geolat, eps_mean + nutlo[1], hsys, cusp, ascmc, cusp_speed, ascmc_speed, serr);
if (toupper(hsys) == 'I')
ascmc[9] = xp[1]; // declination in ascmc[9];
}
if (iflag & SEFLG_RADIANS) {
for (i = 1; i <= ito; i++)
cusp[i] *= DEGTORAD;
for (i = 0; i < SE_NASCMC; i++)
ascmc[i] *= DEGTORAD;
}
if (retc_makr < 0)
return retc_makr;
return retc;
}
/*
* houses to sidereal
* ------------------
* there are two methods:
* a) the traditional one
* houses are computed tropically, then nutation and the ayanamsa
* are subtracted.
* b) the projection on the ecliptic of t0
* The house computation is then as follows:
*
* Be t the birth date and t0 the epoch at which ayanamsa = 0.
* 1. Compute the angle between the mean ecliptic at t0 and
* the true equator at t.
* The intersection point of these two circles we call the
* "auxiliary vernal point", and the angle between them the
* "auxiliary obliquity".
* 2. Compute the distance of the auxiliary vernal point from the
* vernal point at t. (this is a section on the equator)
* 3. subtract this value from the armc of t = aux. armc.
* 4. Compute the axes and houses for this aux. armc and aux. obliquity.
* 5. Compute the distance between the auxiliary vernal point and the
* vernal point at t0 (this is the ayanamsa at t, measured on the
* ecliptic of t0)
* 6. subtract this distance from all house cusps.
* 7. subtract ayanamsa_t0 from all house cusps.
*/
static int sidereal_houses_ecl_t0(double tjde,
double armc,
double eps,
double *nutlo,
double lat,
int hsys,
double *cusp,
double *ascmc,
double *cusp_speed,
double *ascmc_speed,
char *serr)
{
int i, j, retc = OK;
double x[6], xvpx[6], x2[6], epst0, xnorm[6];
double rxy, rxyz, c2, epsx, sgn, fac, dvpx, dvpxe;
double armcx;
struct sid_data *sip = &swed.sidd;
int ito;
if (toupper(hsys) == 'G')
ito = 36;
else
ito = 12;
/* epsilon at t0 */
epst0 = swi_epsiln(sip->t0, 0);
/* cartesian coordinates of an imaginary moving body on the
* the mean ecliptic of t0; we take the vernal point: */
x[0] = x[4] = 1;
x[1] = x[2] = x[3] = x[5] = 0;
/* to equator */
swi_coortrf(x, x, -epst0);
swi_coortrf(x+3, x+3, -epst0);
/* to tjd_et */
swi_precess(x, sip->t0, 0, J_TO_J2000);
swi_precess(x, tjde, 0, J2000_TO_J);
swi_precess(x+3, sip->t0, 0, J_TO_J2000);
swi_precess(x+3, tjde, 0, J2000_TO_J);
/* to true equator of tjd_et */
swi_coortrf(x, x, (eps - nutlo[1]) * DEGTORAD);
swi_coortrf(x+3, x+3, (eps - nutlo[1]) * DEGTORAD);
swi_cartpol_sp(x, x);
x[0] += nutlo[0] * DEGTORAD;
swi_polcart_sp(x, x);
swi_coortrf(x, x, -eps * DEGTORAD);
swi_coortrf(x+3, x+3, -eps * DEGTORAD);
/* now, we have the moving point precessed to tjd_et.
* next, we compute the auxiliary epsilon: */
swi_cross_prod(x, x+3, xnorm);
rxy = xnorm[0] * xnorm[0] + xnorm[1] * xnorm[1];
c2 = (rxy + xnorm[2] * xnorm[2]);
rxyz = sqrt(c2);
rxy = sqrt(rxy);
epsx = asin(rxy / rxyz) * RADTODEG; /* 1a */
/* auxiliary vernal point */
if (fabs(x[5]) < 1e-15)
x[5] = 1e-15;
fac = x[2] / x[5];
sgn = x[5] / fabs(x[5]);
for (j = 0; j <= 2; j++)
xvpx[j] = (x[j] - fac * x[j+3]) * sgn; /* 1b */
/* distance of the auxiliary vernal point from
* the zero point at tjd_et (a section on the equator): */
swi_cartpol(xvpx, x2);
dvpx = x2[0] * RADTODEG; /* 2 */
/* auxiliary armc */
armcx = swe_degnorm(armc - dvpx); /* 3 */
/* compute axes and houses: */
retc = swe_houses_armc_ex2(armcx, lat, epsx, hsys, cusp, ascmc, cusp_speed, ascmc_speed, serr); /* 4 */
/* distance between auxiliary vernal point and
* vernal point of t0 (a section on the sidereal plane) */
dvpxe = acos(swi_dot_prod_unit(x, xvpx)) * RADTODEG; /* 5 */
if (tjde < sip->t0)
dvpxe = -dvpxe;
for (i = 1; i <= ito; i++) /* 6, 7 */
cusp[i] = swe_degnorm(cusp[i] - dvpxe - sip->ayan_t0);
for (i = 0; i <= SE_NASCMC; i++) {
if (i == 2) /* armc */
continue;
ascmc[i] = swe_degnorm(ascmc[i] - dvpxe - sip->ayan_t0);
}
if (hsys == 'N') { /* 1 = 0° Aries */
for (i = 1; i <= ito; i++) {
cusp[i] = (i - 1) * 30;
}
}
return retc;
}
/*
* Be t the birth date and t0 the epoch at which ayanamsa = 0.
* 1. Compute the angle between the solar system rotation plane and
* the true equator at t.
* The intersection point of these two circles we call the
* "auxiliary vernal point", and the angle between them the
* "auxiliary obliquity".
* 2. Compute the distance of the auxiliary vernal point from the
* zero point at t. (this is a section on the equator)
* 3. subtract this value from the armc of t = aux. armc.
* 4. Compute the axes and houses for this aux. armc and aux. obliquity.
* 5. Compute the distance between the auxiliary vernal point at t
* and the zero point of the solar system plane J2000
* (a section measured on the solar system plane)
* 6. subtract this distance from all house cusps.
* 7. compute the ayanamsa of J2000 on the solar system plane,
* referred to t0
* 8. subtract ayanamsa_t0 from all house cusps.
* 9. subtract ayanamsa_2000 from all house cusps.
*/
static int sidereal_houses_ssypl(double tjde,
double armc,
double eps,
double *nutlo,
double lat,
int hsys,
double *cusp,
double *ascmc,
double *cusp_speed,
double *ascmc_speed,
char *serr)
{
int i, j, retc = OK;
double x[6], x0[6], xvpx[6], x2[6], xnorm[6];
double rxy, rxyz, c2, epsx, eps2000, sgn, fac, dvpx, dvpxe, x00;
double armcx;
struct sid_data *sip = &swed.sidd;
int ito;
if (toupper(hsys) == 'G')
ito = 36;
else
ito = 12;
eps2000 = swi_epsiln(J2000, 0);
/* cartesian coordinates of the zero point on the
* the solar system rotation plane */
x[0] = x[4] = 1;
x[1] = x[2] = x[3] = x[5] = 0;
/* to ecliptic 2000 */
swi_coortrf(x, x, -SSY_PLANE_INCL);
swi_coortrf(x+3, x+3, -SSY_PLANE_INCL);
swi_cartpol_sp(x, x);
x[0] += SSY_PLANE_NODE_E2000;
swi_polcart_sp(x, x);
/* to equator 2000 */
swi_coortrf(x, x, -eps2000);
swi_coortrf(x+3, x+3, -eps2000);
/* to mean equator of t */
swi_precess(x, tjde, 0, J2000_TO_J);
swi_precess(x+3, tjde, 0, J2000_TO_J);
/* to true equator of t */
swi_coortrf(x, x, (eps - nutlo[1]) * DEGTORAD);
swi_coortrf(x+3, x+3, (eps - nutlo[1]) * DEGTORAD);
swi_cartpol_sp(x, x);
x[0] += nutlo[0] * DEGTORAD;
swi_polcart_sp(x, x);
swi_coortrf(x, x, -eps * DEGTORAD);
swi_coortrf(x+3, x+3, -eps * DEGTORAD);
/* now, we have the moving point precessed to tjd_et.
* next, we compute the auxiliary epsilon: */
swi_cross_prod(x, x+3, xnorm);
rxy = xnorm[0] * xnorm[0] + xnorm[1] * xnorm[1];
c2 = (rxy + xnorm[2] * xnorm[2]);
rxyz = sqrt(c2);
rxy = sqrt(rxy);
epsx = asin(rxy / rxyz) * RADTODEG; /* 1a */
/* auxiliary vernal point */
if (fabs(x[5]) < 1e-15)
x[5] = 1e-15;
fac = x[2] / x[5];
sgn = x[5] / fabs(x[5]);
for (j = 0; j <= 2; j++)
xvpx[j] = (x[j] - fac * x[j+3]) * sgn; /* 1b */
/* distance of the auxiliary vernal point from
* mean vernal point at tjd_et (a section on the equator): */
swi_cartpol(xvpx, x2);
dvpx = x2[0] * RADTODEG; /* 2 */
/* auxiliary armc */
armcx = swe_degnorm(armc - dvpx); /* 3 */
/* compute axes and houses: */
retc = swe_houses_armc_ex2(armcx, lat, epsx, hsys, cusp, ascmc, cusp_speed, ascmc_speed, serr); /* 4 */
/* distance between the auxiliary vernal point at t and
* the sidereal zero point of 2000 at t
* (a section on the sidereal plane).
*/
dvpxe = acos(swi_dot_prod_unit(x, xvpx)) * RADTODEG; /* 5 */
/* (always positive for dates after 5400 bc) */
dvpxe -= SSY_PLANE_NODE * RADTODEG;
/* ayanamsa between t0 and J2000, measured on solar system plane: */
/* position of zero point of t0 */
x0[0] = 1;
x0[1] = x0[2] = 0;
/* zero point of t0 in J2000 system */
if (sip->t0 != J2000)
swi_precess(x0, sip->t0, 0, J_TO_J2000);
/* zero point to ecliptic 2000 */
swi_coortrf(x0, x0, eps2000);
/* to solar system plane */
swi_cartpol(x0, x0);
x0[0] -= SSY_PLANE_NODE_E2000;
swi_polcart(x0, x0);
swi_coortrf(x0, x0, SSY_PLANE_INCL);
swi_cartpol(x0, x0);
x0[0] += SSY_PLANE_NODE;
x00 = x0[0] * RADTODEG; /* 7 */
for (i = 1; i <= ito; i++) /* 6, 8, 9 */
cusp[i] = swe_degnorm(cusp[i] - dvpxe - sip->ayan_t0 - x00);
for (i = 0; i <= SE_NASCMC; i++) {
if (i == 2) /* armc */
continue;
ascmc[i] = swe_degnorm(ascmc[i] - dvpxe - sip->ayan_t0 - x00);
}
if (hsys == 'N') { /* 1 = 0° Aries */
for (i = 1; i <= ito; i++) {
cusp[i] = (i - 1) * 30;
}
}
return retc;
}
/* common simplified procedure */
static int sidereal_houses_trad(double tjde,
int32 iflag,
double armc,
double eps,
double nutl,
double lat,
int hsys,
double *cusp,
double *ascmc,
double *cusp_speed,
double *ascmc_speed,
char *serr)
{
int i, retc = OK;
double ay;
int ito;
int ihs = toupper(hsys);
int ihs2 = ihs;
// ay = swe_get_ayanamsa(tjde);
//fprintf(stderr, "ay=%f\n", ay);
retc = swe_get_ayanamsa_ex(tjde, iflag, &ay, NULL);
//fprintf(stderr, "ay=%f\n", ay);
//fprintf(stderr, "nutl=%f\n", nutl);
if (ihs == 'G')
ito = 36;
else
ito = 12;
if (ihs == 'W') /* whole sign houses: treat as 'E' and fix later */
ihs2 = 'E';
//fprintf(stderr, "armc=%f\n", armc);
//if (hsys == 'P') fprintf(stderr, "ay=%f, t=%f %c", ay, tjde, (char) hsys);
retc = swe_houses_armc_ex2(armc, lat, eps, ihs2, cusp, ascmc, cusp_speed, ascmc_speed, serr);
//if (hsys == 'P') fprintf(stderr, " h1=%f", cusp[1]);
for (i = 1; i <= ito; i++) {
//cusp[i] = swe_degnorm(cusp[i] - ay - nutl);
cusp[i] = swe_degnorm(cusp[i] - ay);
if (ihs == 'W') /* whole sign houses */
cusp[i] -= fmod(cusp[i], 30);
}
if (ihs == 'N') { /* 1 = 0° Aries */
for (i = 1; i <= ito; i++) {
cusp[i] = (i - 1) * 30;
}
}
for (i = 0; i < SE_NASCMC; i++) {
if (i == 2) /* armc */
continue;
//ascmc[i] = swe_degnorm(ascmc[i] - ay - nutl);
ascmc[i] = swe_degnorm(ascmc[i] - ay);
}
//if (hsys == 'P') fprintf(stderr, " => %f\n", cusp[1]);
return retc;
}
// For explanation see function swe_houses_armc_ex2() below.
int CALL_CONV swe_houses_armc(
double armc,
double geolat,
double eps,
int hsys,
double *cusp,
double *ascmc)
{
return swe_houses_armc_ex2(armc, geolat, eps, hsys, cusp, ascmc, NULL, NULL, NULL);
}
/*
* Function returns OK or ERR.
* this function is required for very special computations
* where no date is given for house calculation,
* e.g. for composite charts or progressive charts.
* cusps are returned in double cusp[13],
* or cusp[37] with house system 'G'.
* cusp[1...12] houses 1 - 12
* ascmc[0...10] additional points:
* ascmc[0] = ascendant
* ascmc[1] = mc
* ascmc[2] = armc
* ascmc[3] = vertex
* ascmc[4] = equasc * "equatorial ascendant" *
* ascmc[5] = coasc1 * "co-ascendant" (W. Koch) *
* ascmc[6] = coasc2 * "co-ascendant" (M. Munkasey) *
* ascmc[7] = polasc * "polar ascendant" (M. Munkasey) *
* cusp_speed[1...12] speeds (daily motions) of the cusps.
* ascmc_speed[0...10] speeds (daily motions) of the additional points.
* serr error message or warning
*/
int CALL_CONV swe_houses_armc_ex2(
double armc,
double geolat,
double eps,
int hsys,
double *cusp,
double *ascmc,
double *cusp_speed,
double *ascmc_speed,
char *serr)
{
struct houses h, hm1, hp1;
int i, retc = 0, rm1, rp1;
int ito;
static double saved_sundec = 99;
if (toupper(hsys) == 'G')
ito = 36;
else
ito = 12;
armc = swe_degnorm(armc);
h.do_speed = FALSE;
h.do_hspeed = FALSE;
if (ascmc_speed != NULL || cusp_speed != NULL)
h.do_speed = TRUE; // is needed if cusp_speed wanted
if (cusp_speed != NULL)
h.do_hspeed = TRUE;
if (toupper(hsys) == 'I') { // declination for sunshine houses
if (ascmc[9] == 99) {
h.sundec = 0;
if (saved_sundec != 99) h.sundec = saved_sundec;
} else {
h.sundec = ascmc[9];
saved_sundec = h.sundec;
}
if (h.sundec < -24 || h.sundec > 24) {
sprintf(serr, "House system I (Sunshine) needs valid Sun declination in ascmc[9]");
return ERR;
}
}
retc = CalcH(armc, geolat, eps, (char)hsys, &h);
cusp[0] = 0;
if (h.do_hspeed) cusp_speed[0] = 0;
// on failure, we only have 12 Porphyry cusps
if (retc < 0) {
ito = 12;
if (serr != NULL) strcpy(serr, h.serr);
}
for (i = 1; i <= ito; i++) {
cusp[i] = h.cusp[i];
if (h.do_hspeed) cusp_speed[i] = h.cusp_speed[i];
}
ascmc[0] = h.ac; /* Asc */
ascmc[1] = h.mc; /* Mid */
ascmc[2] = armc;
ascmc[3] = h.vertex;
ascmc[4] = h.equasc;
ascmc[5] = h.coasc1; /* "co-ascendant" (W. Koch) */
ascmc[6] = h.coasc2; /* "co-ascendant" (M. Munkasey) */
ascmc[7] = h.polasc; /* "polar ascendant" (M. Munkasey) */
for (i = SE_NASCMC; i < 10; i++)
ascmc[i] = 0;
if (toupper(hsys) == 'I') // declination for sunshine houses
ascmc[9] = h.sundec ;
if (h.do_speed && ascmc_speed != NULL) {
ascmc_speed[0] = h.ac_speed; /* Asc */
ascmc_speed[1] = h.mc_speed; /* Mid */
ascmc_speed[2] = h.armc_speed;
ascmc_speed[3] = h.vertex_speed;
ascmc_speed[4] = h.equasc_speed;
ascmc_speed[5] = h.coasc1_speed; /* "co-ascendant" (W. Koch) */
ascmc_speed[6] = h.coasc2_speed; /* "co-ascendant" (M. Munkasey) */
ascmc_speed[7] = h.polasc_speed; /* "polar ascendant" (M. Munkasey) */
for (i = SE_NASCMC; i < 10; i++)
ascmc_speed[i] = 0;
}
if (h.do_interpol) { // must compute cusp_speed via interpolation
double dt = 1.0 / 86400;
double darmc = dt * ARMCS;
hm1.do_speed = FALSE;
hm1.do_hspeed = FALSE;
hp1.do_speed = FALSE;
hp1.do_hspeed = FALSE;
if (toupper(hsys) == 'I') {
hm1.sundec = h.sundec;
hp1.sundec = h.sundec;
}
rm1 = CalcH(armc - darmc, geolat, eps, (char)hsys, &hm1);
rp1 = CalcH(armc + darmc, geolat, eps, (char)hsys, &hp1);
if (rp1 >= 0 && rm1 >=0) {
if (fabs(swe_difdeg2n(hp1.ac, h.ac)) > 90) {
hp1 = h; // use only upper interval
dt = dt / 2;
} else if (fabs(swe_difdeg2n(hm1.ac, h.ac)) > 90) {
hm1 = h; // use only lower interval
dt = dt / 2;
}
for (i = 1; i <= 12; i++) {
double dx = swe_difdeg2n(hp1.cusp[i], hm1.cusp[i]);
cusp_speed[i] = dx / 2 / dt ;
}
}
}
#ifdef TRACE
swi_open_trace(NULL);
if (swi_trace_count <= TRACE_COUNT_MAX) {
if (swi_fp_trace_c != NULL) {
fputs("\n/*SWE_HOUSES_ARMC_EX2*/\n", swi_fp_trace_c);
fprintf(swi_fp_trace_c, " armc = %.9f;", armc);
fprintf(swi_fp_trace_c, " geolat = %.9f;", geolat);
fprintf(swi_fp_trace_c, " eps = %.9f;", eps);
fprintf(swi_fp_trace_c, " hsys = %d;\n", hsys);
fprintf(swi_fp_trace_c, " retc = swe_houses_armc_ex2(armc, geolat, eps, hsys, cusp, ascmc, cusp_speed, ascmc_speed, serr);\n");
fputs(" printf(\"swe_houses_armc_ex2: %f\\t%f\\t%f\\t%c\\t\\n\", ", swi_fp_trace_c);
fputs(" armc, geolat, eps, hsys);\n", swi_fp_trace_c);
fputs(" printf(\"retc = %d\\n\", retc);\n", swi_fp_trace_c);
fputs(" printf(\"cusp:\\n\");\n", swi_fp_trace_c);
fputs(" for (i = 1; i <= 12; i++)\n", swi_fp_trace_c);
fputs(" printf(\" %d\\t%f\\n\", i, cusp[i]);\n", swi_fp_trace_c);
fputs(" printf(\"ascmc:\\n\");\n", swi_fp_trace_c);
fputs(" for (i = 0; i < 10; i++)\n", swi_fp_trace_c);
fputs(" printf(\" %d\\t%f\\n\", i, ascmc[i]);\n", swi_fp_trace_c);
fputs(" printf(\"cusp_speed:\\n\");\n", swi_fp_trace_c);
fputs(" for (i = 1; i <= 12; i++)\n", swi_fp_trace_c);
fputs(" printf(\" %d\\t%f\\n\", i, cusp_speed[i]);\n", swi_fp_trace_c);
fputs(" printf(\"ascmc_speed:\\n\");\n", swi_fp_trace_c);
fputs(" for (i = 0; i < 10; i++)\n", swi_fp_trace_c);
fputs(" printf(\" %d\\t%f\\n\", i, ascmc_speed[i]);\n", swi_fp_trace_c);
fflush(swi_fp_trace_c);
}
if (swi_fp_trace_out != NULL) {
fprintf(swi_fp_trace_out, "swe_houses_armc_ex2: %f\t%f\t%f\t%c\t\n", armc, geolat, eps, hsys);
fprintf(swi_fp_trace_out, "retc = %d\n", retc);
fputs("cusp:\n", swi_fp_trace_out);
for (i = 1; i <= 12; i++)
fprintf(swi_fp_trace_out, " %d\t%f\n", i, cusp[i]);
fputs("ascmc:\n", swi_fp_trace_out);
for (i = 0; i < 10; i++)
fprintf(swi_fp_trace_out, " %d\t%f\n", i, ascmc[i]);
fflush(swi_fp_trace_out);
}
}
#endif
#if 0
/* for test of swe_house_pos().
* 1st house will be 0, second 30, etc. */
for (i = 1; i <=12; i++) {
double x[6];
x[0] = cusp[i]; x[1] = 0; x[2] = 1;
cusp[i] = (swe_house_pos(armc, geolat, eps, hsys, x, NULL) - 1) * 30;
}
#endif
return retc;
}
/* for APC houses */
/* n number of house
* ph geographic latitude
* e ecliptic obliquity
* az armc
*/
static double apc_sector(int n, double ph, double e, double az)
{
int k, is_below_hor = 0;
double kv, a, dasc, dret;
/* kv: ascensional difference of the ascendant */
/* dasc: declination of the ascendant */
if (fabs(ph * RADTODEG) > 90 - VERY_SMALL) {
kv = 0;
dasc = 0;
} else {
kv = atan(tan(ph) * tan(e) * cos(az)/(1 + tan(ph) * tan(e) * sin(az)));
if (fabs(ph * RADTODEG) < VERY_SMALL) {
dasc = (90 - VERY_SMALL) * DEGTORAD;
if (ph < 0)
dasc = -dasc;
} else {
dasc = atan(sin(kv) / tan(ph));
}
}
/* note, at polar circles, when the mc sinks below the horizon,
* kv and dasc change sign in the above formulae.
* this is what we need, because the ascendand jumps by 180 deg */
/* printf("%f, %f\n", kv*RADTODEG, dasc*RADTODEG); */
if (n < 8) {
is_below_hor = 1; /* 1 and 7 are included here */
k = n - 1;
} else {
k = n - 13;
}
/* az + PI/2 + kv = armc + 90 + asc. diff. = right ascension of ascendant
* PI/2 +- kv = semi-diurnal or seminocturnal arc of ascendant
* a = right ascension of house cusp on apc circle (ascendant-parallel
* circle), with declination dasc */
if (is_below_hor) {
a = kv + az + PI/2 + k * (PI/2 - kv) / 3;
} else {
a = kv + az + PI/2 + k * (PI/2 + kv) / 3;
}
a = swe_radnorm(a);
dret = atan2(tan(dasc) * tan(ph) * sin(az) + sin(a),
cos(e) * (tan(dasc) * tan(ph) * cos(az) + cos(a)) + sin(e) * tan(ph) * sin(az - a));
dret = swe_degnorm(dret * RADTODEG);
return dret;
}
const char *CALL_CONV swe_house_name(int hsys)
{
int h = hsys;
if (h != 'i') h = toupper(h);
switch (h) {
case 'A': return "equal";
case 'B': return "Alcabitius";
case 'C': return "Campanus";
case 'D': return "equal (MC)";
case 'E': return "equal";
case 'F': return "Carter poli-equ.";
case 'G': return "Gauquelin sectors";
case 'H': return "horizon/azimut";
case 'I': return "Sunshine";
case 'i': return "Sunshine/alt.";
case 'J': return "Savard-A";
case 'K': return "Koch";
case 'L': return "Pullen SD";
case 'M': return "Morinus";
case 'N': return "equal/1=Aries";
case 'O': return "Porphyry";
case 'Q': return "Pullen SR";
case 'R': return "Regiomontanus";
case 'S': return "Sripati";
case 'T': return "Polich/Page";
case 'U': return "Krusinski-Pisa-Goelzer";
case 'V': return "equal/Vehlow";
case 'W': return "equal/ whole sign";
case 'X': return "axial rotation system/Meridian houses";
case 'Y': return "APC houses";
default: return "Placidus";
}
}
// How to deal with Sunshine houses if the southern crossing point of Equator
// and Ecliptic is under the horizon:
// We follow the proposal by Dieter Koch, who wants to keep it in analogy with
// Regiomontanus, where we keep the MC above the horizon, by switching it to the north.
// This results in an clockwise sequence of house cusps in the chart.
//
// One can argue that the MC should be kept south, even when it is under the horizon.
// This would keep the sequence of houses in the chart counterclockwise as usual.
// To achieve it, the offsets on the diurnal arcs must be inverted.
#define SUNSHINE_KEEP_MC_SOUTH 0 // must be 0 or 1
double swi_armc_to_mc(double armc, double eps)
{
double tant, mc;
if (fabs(armc - 90) > VERY_SMALL
&& fabs(armc - 270) > VERY_SMALL) {
tant = tand(armc);
mc = atand(tant / cosd(eps));
if (armc > 90 && armc <= 270)
mc = swe_degnorm(mc + 180);
} else {
if (fabs(armc - 90) <= VERY_SMALL)
mc = 90;
else
mc = 270;
} /* if */
return mc;
}
//#define DEBUG_PLAC_ITER 1
#define VERY_SMALL_PLAC_ITER (1.0 / 360000.0 )
static int CalcH(
double th, double fi, double ekl, char hsy, struct houses *hsp)
/* *********************************************************
* Arguments: th = sidereal time (angle 0..360 degrees
* hsy = letter code for house system;
* A equal
* E equal
* B Alcabitius
* C Campanus
* D equal (MC)
* F Carter "Poli-Equatorial"
* G 36 Gauquelin sectors
* H horizon / azimut
* I Sunshine solution Treindl
* i Sunshine solution Makransky
* J Savard-A
* K Koch
* L Pullen SD "sinusoidal delta", ex Neo-Porphyry
* M Morinus
* N equal/1=Aries
* O Porphyry
* P Placidus
* Q Pullen SR "sinusoidal ratio"
* R Regiomontanus
* S Sripati
* T Polich/Page ("topocentric")
* U Krusinski-Pisa-Goelzer
* V equal Vehlow
* W equal, whole sign
* X axial rotation system/ Meridian houses
* Y APC houses
* fi = geographic latitude
* ekl = obliquity of the ecliptic
* *********************************************************
* Koch and Placidus don't work in the polar circle.
* We swap MC/IC so that MC is always before AC in the zodiac
* We then divide the quadrants into 3 equal parts, ie apply Porphyry.
* *********************************************************
* All angles are expressed in degrees.
* Special trigonometric functions sind, cosd etc. are
* implemented for arguments in degrees.
***********************************************************/
{
double tane, tanfi, cosfi, sinfi, tant, sina, cosa, th2;
double a, c, f, fh1, fh2, xh1, xh2, xs1, xs2, rectasc, ad3, acmc, vemc;
int i, ih, ih2, retc = OK;
double sine, cose;
double x[3], krHorizonLon; /* BK 14.02.2006 */
int niter_max = 100; // maximum iterations allowed with Placidus
double cuspsv;
*hsp->serr = '\0';
hsp->do_interpol = 0;
cose = cosd(ekl);
sine = sind(ekl);
tane = tand(ekl);
/* north and south poles */
if (fabs(fabs(fi) - 90) < VERY_SMALL) {
if (fi < 0)
fi = -90 + VERY_SMALL;
else
fi = 90 - VERY_SMALL;
}
tanfi = tand(fi);
/* mc */
if (fabs(th - 90) > VERY_SMALL
&& fabs(th - 270) > VERY_SMALL) {
tant = tand(th);
hsp->mc = atand(tant / cose);
if (th > 90 && th <= 270)
hsp->mc = swe_degnorm(hsp->mc + 180);
} else {
if (fabs(th - 90) <= VERY_SMALL)
hsp->mc = 90;
else
hsp->mc = 270;
} /* if */
hsp->mc = swe_degnorm(hsp->mc);
if (hsp->do_speed) hsp->mc_speed = AscDash(th, 0, sine, cose);
/* ascendant */
hsp->ac = Asc1(th + 90, fi, sine, cose);
if (hsp->do_speed)
hsp->ac_speed = AscDash(th + 90, fi, sine, cose);
if (hsp->do_hspeed) {
for (i = 0; i <= 12; i++)
hsp->cusp_speed[i] = 0;
}
hsp->armc_speed = ARMCS;
// these cusp[1] and cusp[10] values may be changed further down for some house systems
hsp->cusp[1] = hsp->ac;
hsp->cusp[10] = hsp->mc;
if (hsp->do_hspeed) {
hsp->cusp_speed[1] = hsp->ac_speed;
hsp->cusp_speed[10] = hsp->mc_speed;
}
/* we respect smaller case letter for i, otherwise they are deprecated */
if (hsy > 95 && hsy != 'i') {
sprintf(hsp->serr, "use of lower case letters like %c for house systems is deprecated", hsy);
hsy = (char) (hsy - 32);/* translate into capital letter */
}
switch (hsy) {
case 'A': /* equal houses */
case 'E':
acmc = swe_difdeg2n(hsp->ac, hsp->mc);
if (acmc < 0) {
/* within polar circle we swap AC/DC if AC is on wrong side */
hsp->ac = swe_degnorm(hsp->ac + 180);
hsp->cusp[1] = hsp->ac;
}
for (i = 2; i <=12; i++) {