int
main(int argc, char *argv[])
{
ConfigVariables XLAL_INIT_DECL(config);
UserVariables_t XLAL_INIT_DECL(uvar);
DopplerMetricParams XLAL_INIT_DECL(metricParams);
vrbflg = 1; /* verbose error-messages */
/* set LAL error-handler */
lal_errhandler = LAL_ERR_EXIT;
/* register user-variables */
if ( initUserVars(&uvar) != XLAL_SUCCESS ) {
XLALPrintError( "%s(): initUserVars() failed\n", __func__ );
return EXIT_FAILURE;
}
/* read cmdline & cfgfile */
if ( XLALUserVarReadAllInput(argc,argv) != XLAL_SUCCESS ) {
XLALPrintError( "%s(): XLALUserVarReadAllInput() failed\n", __func__ );
return EXIT_FAILURE;
}
if (uvar.help) /* help requested: we're done */
return 0;
CHAR *VCSInfoString;
if ( (VCSInfoString = XLALGetVersionString(0)) == NULL ) {
XLALPrintError("XLALGetVersionString(0) failed.\n");
exit(1);
}
if ( uvar.version ) {
printf ( "%s\n", VCSInfoString );
return 0;
}
if ( uvar.coordsHelp )
{
CHAR *helpstr;
if ( (helpstr = XLALDopplerCoordinateHelpAll()) == NULL )
{
LogPrintf ( LOG_CRITICAL, "XLALDopplerCoordinateHelpAll() failed!\n\n");
return -1;
}
printf ( "\n%s\n", helpstr );
XLALFree ( helpstr );
return 0;
} /* if coordsHelp */
/* basic setup and initializations */
XLAL_CHECK ( XLALInitCode( &config, &uvar, argv[0] ) == XLAL_SUCCESS, XLAL_EFUNC, "XLALInitCode() failed with xlalErrno = %d\n\n", xlalErrno );
config.history->VCSInfoString = VCSInfoString;
/* parse detector motion string */
int detMotionType = XLALParseDetectorMotionString( uvar.detMotionStr );
XLAL_CHECK ( detMotionType != XLAL_FAILURE, XLAL_EFUNC, "Failed to pass detector motion string '%s'", uvar.detMotionStr );
metricParams.detMotionType = detMotionType;
metricParams.segmentList = config.segmentList;
metricParams.coordSys = config.coordSys;
metricParams.multiIFO = config.multiIFO;
metricParams.multiNoiseFloor = config.multiNoiseFloor;
metricParams.signalParams = config.signalParams;
metricParams.projectCoord = uvar.projection - 1; /* user-input counts from 1, but interally we count 0=1st coord. (-1==no projection) */
metricParams.approxPhase = uvar.approxPhase;
/* ----- compute metric full metric + Fisher matrix ---------- */
DopplerPhaseMetric *Pmetric = NULL;
if ( uvar.metricType == 0 || uvar.metricType == 2 ) {
if ( (Pmetric = XLALComputeDopplerPhaseMetric ( &metricParams, config.edat )) == NULL ) {
LogPrintf (LOG_CRITICAL, "Something failed in XLALComputeDopplerPhaseMetric(). xlalErrno = %d\n\n", xlalErrno);
return -1;
}
}
DopplerFstatMetric *Fmetric = NULL;
if ( uvar.metricType == 1 || uvar.metricType == 2 ) {
if ( (Fmetric = XLALComputeDopplerFstatMetric ( &metricParams, config.edat )) == NULL ) {
LogPrintf (LOG_CRITICAL, "Something failed in XLALComputeDopplerFstatMetric(). xlalErrno = %d\n\n", xlalErrno);
return -1;
}
}
/* ---------- output results ---------- */
if ( uvar.outputMetric )
{
FILE *fpMetric;
if ( (fpMetric = fopen ( uvar.outputMetric, "wb" )) == NULL ) {
LogPrintf (LOG_CRITICAL, "%s: failed to open '%s' for writing. error = '%s'\n",
__func__, uvar.outputMetric, strerror(errno));
return FSTATMETRIC_EFILE;
}
if ( XLALOutputDopplerMetric ( fpMetric, Pmetric, Fmetric, config.history ) != XLAL_SUCCESS ) {
LogPrintf (LOG_CRITICAL, "%s: failed to write Doppler metric into output-file '%s'. xlalErrno = %d\n\n",
__func__, uvar.outputMetric, xlalErrno );
return FSTATMETRIC_EFILE;
}
fclose ( fpMetric );
} /* if outputMetric */
/* ----- done: free all memory */
XLALDestroyDopplerPhaseMetric ( Pmetric );
XLALDestroyDopplerFstatMetric ( Fmetric );
if ( XLALDestroyConfig( &config ) != XLAL_SUCCESS ) {
LogPrintf (LOG_CRITICAL, "%s: XLADestroyConfig() failed, xlalErrno = %d.\n\n", __func__, xlalErrno );
return FSTATMETRIC_EXLAL;
}
LALCheckMemoryLeaks();
return 0;
} /* main */
/**
* Unit test for metric functions XLALComputeDopplerPhaseMetric()
* and XLALComputeDopplerFstatMetric()
*
* Initially modelled afer testMetricCodes.py script:
* Check metric codes 'getMetric' 'FstatMetric' and 'FstatMetric_v2' by
* comparing them against each other.
* Given that they represent 3 very different implementations of
* metric calculations, this provides a very powerful consistency test
*
*/
static int
test_XLALComputeDopplerMetrics ( void )
{
int ret;
const REAL8 tolPh = 0.01; // 1% tolerance on phase metrics [taken from testMetricCodes.py]
// ----- load ephemeris
const char earthEphem[] = TEST_DATA_DIR "earth00-19-DE200.dat.gz";
const char sunEphem[] = TEST_DATA_DIR "sun00-19-DE200.dat.gz";
EphemerisData *edat = XLALInitBarycenter ( earthEphem, sunEphem );
XLAL_CHECK ( edat != NULL, XLAL_EFUNC, "XLALInitBarycenter('%s','%s') failed with xlalErrno = %d\n", earthEphem, sunEphem, xlalErrno );
// ----- set test-parameters ----------
const LIGOTimeGPS startTimeGPS = { 792576013, 0 };
const REAL8 Tseg = 60000;
const REAL8 Alpha = 1.0;
const REAL8 Delta = 0.5;
const REAL8 Freq = 100;
const REAL8 f1dot = 0;// -1e-8;
LALStringVector *detNames = XLALCreateStringVector ( "H1", "L1", "V1", NULL );
LALStringVector *sqrtSX = XLALCreateStringVector ( "1.0", "0.5", "1.5", NULL );
MultiLALDetector multiIFO;
XLAL_CHECK ( XLALParseMultiLALDetector ( &multiIFO, detNames ) == XLAL_SUCCESS, XLAL_EFUNC );
XLALDestroyStringVector ( detNames );
MultiNoiseFloor multiNoiseFloor;
XLAL_CHECK ( XLALParseMultiNoiseFloor ( &multiNoiseFloor, sqrtSX, multiIFO.length ) == XLAL_SUCCESS, XLAL_EFUNC );
XLALDestroyStringVector ( sqrtSX );
// prepare metric parameters for modern XLALComputeDopplerFstatMetric() and mid-old XLALOldDopplerFstatMetric()
const DopplerCoordinateSystem coordSys = { 4, { DOPPLERCOORD_FREQ, DOPPLERCOORD_ALPHA, DOPPLERCOORD_DELTA, DOPPLERCOORD_F1DOT } };
const PulsarAmplitudeParams Amp = { 0.03, -0.3, 0.5, 0.0 }; // h0, cosi, psi, phi0
const PulsarDopplerParams dop = {
.refTime = startTimeGPS,
.Alpha = Alpha,
.Delta = Delta,
.fkdot = { Freq, f1dot },
};
LALSegList XLAL_INIT_DECL(segList);
ret = XLALSegListInitSimpleSegments ( &segList, startTimeGPS, 1, Tseg );
XLAL_CHECK ( ret == XLAL_SUCCESS, XLAL_EFUNC, "XLALSegListInitSimpleSegments() failed with xlalErrno = %d\n", xlalErrno );
const DopplerMetricParams master_pars2 = {
.coordSys = coordSys,
.detMotionType = DETMOTION_SPIN | DETMOTION_ORBIT,
.segmentList = segList,
.multiIFO = multiIFO,
.multiNoiseFloor = multiNoiseFloor,
.signalParams = { .Amp = Amp, .Doppler = dop },
.projectCoord = - 1, // -1==no projection
.approxPhase = 0,
};
// ========== BEGINNING OF TEST CALLS ==========
XLALPrintWarning("\n---------- ROUND 1: ephemeris-based, single-IFO phase metrics ----------\n");
{
OldDopplerMetric *metric1;
DopplerPhaseMetric *metric2P;
REAL8 diff_2_1;
DopplerMetricParams pars2 = master_pars2;
pars2.multiIFO.length = 1; // truncate to first detector
pars2.multiNoiseFloor.length = 1; // truncate to first detector
// 1) compute metric using old FstatMetric code, now wrapped into XLALOldDopplerFstatMetric()
XLAL_CHECK ( (metric1 = XLALOldDopplerFstatMetric ( OLDMETRIC_TYPE_PHASE, &pars2, edat )) != NULL, XLAL_EFUNC );
// 2) compute metric using modern UniversalDopplerMetric module: (used in lalapps_FstatMetric_v2)
XLAL_CHECK ( (metric2P = XLALComputeDopplerPhaseMetric ( &pars2, edat )) != NULL, XLAL_EFUNC );
// compare metrics against each other:
XLAL_CHECK ( (diff_2_1 = XLALCompareMetrics ( metric2P->g_ij, metric1->g_ij )) < tolPh, XLAL_ETOL, "Error(g2,g1)= %g exceeds tolerance of %g\n", diff_2_1, tolPh );
XLALPrintWarning ("diff_2_1 = %e\n", diff_2_1 );
XLALDestroyOldDopplerMetric ( metric1 );
XLALDestroyDopplerPhaseMetric ( metric2P );
}
XLALPrintWarning("\n---------- ROUND 2: Ptolemaic-based, single-IFO phase metrics ----------\n");
{
OldDopplerMetric *metric1;
DopplerPhaseMetric *metric2P;
REAL8 diff_2_1;
DopplerMetricParams pars2 = master_pars2;
pars2.multiIFO.length = 1; // truncate to first detector
pars2.multiNoiseFloor.length = 1; // truncate to first detector
pars2.detMotionType = DETMOTION_SPIN | DETMOTION_PTOLEORBIT;
// 1) compute metric using old FstatMetric code, now wrapped into XLALOldDopplerFstatMetric()
XLAL_CHECK ( (metric1 = XLALOldDopplerFstatMetric ( OLDMETRIC_TYPE_PHASE, &pars2, edat )) != NULL, XLAL_EFUNC );
// 2) compute metric using modern UniversalDopplerMetric module: (used in lalapps_FstatMetric_v2)
XLAL_CHECK ( (metric2P = XLALComputeDopplerPhaseMetric ( &pars2, edat )) != NULL, XLAL_EFUNC );
// compare all 3 metrics against each other:
XLAL_CHECK ( (diff_2_1 = XLALCompareMetrics ( metric2P->g_ij, metric1->g_ij )) < tolPh, XLAL_ETOL, "Error(g2,g1)= %g exceeds tolerance of %g\n", diff_2_1, tolPh );
XLALPrintWarning ("diff_2_1 = %e\n", diff_2_1 );
XLALDestroyOldDopplerMetric ( metric1 );
XLALDestroyDopplerPhaseMetric ( metric2P );
}
XLALPrintWarning("\n---------- ROUND 3: ephemeris-based, multi-IFO F-stat metrics ----------\n");
{
OldDopplerMetric *metric1;
DopplerFstatMetric *metric2F;
REAL8 diff_2_1;
DopplerMetricParams pars2 = master_pars2;
pars2.detMotionType = DETMOTION_SPIN | DETMOTION_ORBIT;
pars2.multiIFO = multiIFO; // 3 IFOs
pars2.multiNoiseFloor = multiNoiseFloor;// 3 IFOs
// 1) compute metric using old FstatMetric code, now wrapped into XLALOldDopplerFstatMetric()
XLAL_CHECK ( (metric1 = XLALOldDopplerFstatMetric ( OLDMETRIC_TYPE_FSTAT, &pars2, edat )) != NULL, XLAL_EFUNC );
// 2) compute metric using modern UniversalDopplerMetric module: (used in lalapps_FstatMetric_v2)
XLAL_CHECK ( (metric2F = XLALComputeDopplerFstatMetric ( &pars2, edat )) != NULL, XLAL_EFUNC );
// compare both metrics against each other:
XLAL_CHECK ( (diff_2_1 = XLALCompareMetrics ( metric2F->gF_ij, metric1->gF_ij )) < tolPh, XLAL_ETOL, "Error(gF2,gF1)= %e exceeds tolerance of %e\n", diff_2_1, tolPh );
XLALPrintWarning ("gF: diff_2_1 = %e\n", diff_2_1 );
XLAL_CHECK ( (diff_2_1 = XLALCompareMetrics ( metric2F->gFav_ij, metric1->gFav_ij )) < tolPh, XLAL_ETOL, "Error(gFav2,gFav1)= %e exceeds tolerance of %e\n", diff_2_1, tolPh );
XLALPrintWarning ("gFav: diff_2_1 = %e\n", diff_2_1 );
XLALDestroyOldDopplerMetric ( metric1 );
XLALDestroyDopplerFstatMetric ( metric2F );
}
XLALPrintWarning("\n---------- ROUND 4: compare analytic {f,f1dot,f2dot,f3dot} phase metric vs XLALComputeDopplerPhaseMetric() ----------\n");
{
DopplerPhaseMetric *metric2P;
REAL8 diff_2_1;
DopplerMetricParams pars2 = master_pars2;
pars2.multiIFO.length = 1; // truncate to 1st detector
pars2.multiNoiseFloor.length = 1; // truncate to 1st detector
pars2.detMotionType = DETMOTION_SPIN | DETMOTION_ORBIT;
pars2.approxPhase = 1; // use same phase-approximation as in analytic solution to improve comparison
DopplerCoordinateSystem coordSys2 = { 4, { DOPPLERCOORD_FREQ, DOPPLERCOORD_F1DOT, DOPPLERCOORD_F2DOT, DOPPLERCOORD_F3DOT } };
pars2.coordSys = coordSys2;
gsl_matrix* gN_ij;
// a) compute metric at refTime = startTime
pars2.signalParams.Doppler.refTime = startTimeGPS;
XLAL_CHECK ( (metric2P = XLALComputeDopplerPhaseMetric ( &pars2, edat )) != NULL, XLAL_EFUNC );
gN_ij = NULL;
XLAL_CHECK ( XLALNaturalizeMetric ( &gN_ij, NULL, metric2P->g_ij, &pars2 ) == XLAL_SUCCESS, XLAL_EFUNC );
REAL8 gStart_ij[] = { 1.0/3, 2.0/3, 6.0/5, 32.0/15, \
2.0/3, 64.0/45, 8.0/3, 512.0/105, \
6.0/5, 8.0/3, 36.0/7, 48.0/5, \
32.0/15, 512.0/105, 48.0/5, 4096.0/225 };
const gsl_matrix_view gStart = gsl_matrix_view_array ( gStart_ij, 4, 4 );
// compare natural-units metric against analytic solution
XLAL_CHECK ( (diff_2_1 = XLALCompareMetrics ( gN_ij, &(gStart.matrix) )) < tolPh, XLAL_ETOL,
"RefTime=StartTime: Error(g_ij,g_analytic)= %e exceeds tolerance of %e\n", diff_2_1, tolPh );
XLALPrintWarning ("Analytic (refTime=startTime): diff_2_1 = %e\n", diff_2_1 );
XLALDestroyDopplerPhaseMetric ( metric2P );
gsl_matrix_free ( gN_ij );
// b) compute metric at refTime = midTime
pars2.signalParams.Doppler.refTime = startTimeGPS;
pars2.signalParams.Doppler.refTime.gpsSeconds += Tseg / 2;
XLAL_CHECK ( (metric2P = XLALComputeDopplerPhaseMetric ( &pars2, edat )) != NULL, XLAL_EFUNC );
gN_ij = NULL;
XLAL_CHECK ( XLALNaturalizeMetric ( &gN_ij, NULL, metric2P->g_ij, &pars2 ) == XLAL_SUCCESS, XLAL_EFUNC );
REAL8 gMid_ij[] = { 1.0/3, 0, 1.0/5, 0, \
0, 4.0/45, 0, 8.0/105, \
1.0/5, 0, 1.0/7, 0, \
0, 8.0/105, 0, 16.0/225 };
const gsl_matrix_view gMid = gsl_matrix_view_array ( gMid_ij, 4, 4 );
// compare natural-units metric against analytic solution
XLAL_CHECK ( (diff_2_1 = XLALCompareMetrics ( gN_ij, &(gMid.matrix) )) < tolPh, XLAL_ETOL,
"RefTime=MidTime: Error(g_ij,g_analytic)= %e exceeds tolerance of %e\n", diff_2_1, tolPh );
XLALPrintWarning ("Analytic (refTime=midTime): diff_2_1 = %e\n\n", diff_2_1 );
XLALDestroyDopplerPhaseMetric ( metric2P );
gsl_matrix_free ( gN_ij );
}
XLALPrintWarning("\n---------- ROUND 5: ephemeris-based, single-IFO, segment-averaged phase metrics ----------\n");
{
OldDopplerMetric *metric1;
DopplerPhaseMetric *metric2P;
REAL8 diff_2_1;
DopplerMetricParams pars2 = master_pars2;
pars2.detMotionType = DETMOTION_SPIN | DETMOTION_ORBIT;
pars2.multiIFO.length = 1; // truncate to first detector
pars2.multiNoiseFloor.length = 1; // truncate to first detector
pars2.approxPhase = 1;
const UINT4 Nseg = 10;
LALSegList XLAL_INIT_DECL(NsegList);
ret = XLALSegListInitSimpleSegments ( &NsegList, startTimeGPS, Nseg, Tseg );
XLAL_CHECK ( ret == XLAL_SUCCESS, XLAL_EFUNC, "XLALSegListInitSimpleSegments() failed with xlalErrno = %d\n", xlalErrno );
pars2.segmentList = NsegList;
LALSegList XLAL_INIT_DECL(segList_k);
LALSeg segment_k;
XLALSegListInit( &segList_k ); // prepare single-segment list containing segment k
segList_k.arraySize = 1;
segList_k.length = 1;
segList_k.segs = &segment_k;
// 1) compute metric using old FstatMetric code, now wrapped into XLALOldDopplerFstatMetric()
metric1 = NULL;
for (UINT4 k = 0; k < Nseg; ++k) {
// setup 1-segment segment-list pointing k-th segment
DopplerMetricParams pars2_k = pars2;
pars2_k.segmentList = segList_k;
pars2_k.segmentList.segs[0] = pars2.segmentList.segs[k];
// XLALOldDopplerFstatMetric() does not agree numerically with UniversalDopplerMetric when using refTime != startTime
pars2_k.signalParams.Doppler.refTime = pars2_k.segmentList.segs[0].start;
OldDopplerMetric *metric1_k; // per-segment coherent metric
XLAL_CHECK ( (metric1_k = XLALOldDopplerFstatMetric ( OLDMETRIC_TYPE_PHASE, &pars2_k, edat )) != NULL, XLAL_EFUNC );
// manually correct reference time of metric1_k->g_ij; see Prix, "Frequency metric for CW searches" (2014-08-17), p. 4
const double dt = XLALGPSDiff( &(pars2_k.signalParams.Doppler.refTime), &(pars2.signalParams.Doppler.refTime) );
const double gFF = gsl_matrix_get( metric1_k->g_ij, 0, 0 );
const double gFA = gsl_matrix_get( metric1_k->g_ij, 0, 1 );
const double gFD = gsl_matrix_get( metric1_k->g_ij, 0, 2 );
const double gFf = gsl_matrix_get( metric1_k->g_ij, 0, 3 );
const double gAf = gsl_matrix_get( metric1_k->g_ij, 1, 3 );
const double gDf = gsl_matrix_get( metric1_k->g_ij, 2, 3 );
const double gff = gsl_matrix_get( metric1_k->g_ij, 3, 3 );
gsl_matrix_set( metric1_k->g_ij, 0, 3, gFf + gFF*dt ); gsl_matrix_set( metric1_k->g_ij, 3, 0, gsl_matrix_get( metric1_k->g_ij, 0, 3 ) );
gsl_matrix_set( metric1_k->g_ij, 1, 3, gAf + gFA*dt ); gsl_matrix_set( metric1_k->g_ij, 3, 1, gsl_matrix_get( metric1_k->g_ij, 1, 3 ) );
gsl_matrix_set( metric1_k->g_ij, 2, 3, gDf + gFD*dt ); gsl_matrix_set( metric1_k->g_ij, 3, 2, gsl_matrix_get( metric1_k->g_ij, 2, 3 ) );
gsl_matrix_set( metric1_k->g_ij, 3, 3, gff + 2*gFf*dt + gFF*dt*dt );
XLAL_CHECK ( XLALAddOldDopplerMetric ( &metric1, metric1_k ) == XLAL_SUCCESS, XLAL_EFUNC );
XLALDestroyOldDopplerMetric ( metric1_k );
}
XLAL_CHECK ( XLALScaleOldDopplerMetric ( metric1, 1.0 / Nseg ) == XLAL_SUCCESS, XLAL_EFUNC );
// 2) compute metric using modern UniversalDopplerMetric module: (used in lalapps_FstatMetric_v2)
XLAL_CHECK ( (metric2P = XLALComputeDopplerPhaseMetric ( &pars2, edat )) != NULL, XLAL_EFUNC );
GPMAT( metric1->g_ij, "%0.4e" );
GPMAT( metric2P->g_ij, "%0.4e" );
// compare both metrics against each other:
XLAL_CHECK ( (diff_2_1 = XLALCompareMetrics ( metric2P->g_ij, metric1->g_ij )) < tolPh, XLAL_ETOL, "Error(g2,g1)= %g exceeds tolerance of %g\n", diff_2_1, tolPh );
XLALPrintWarning ("diff_2_1 = %e\n", diff_2_1 );
XLALDestroyOldDopplerMetric ( metric1 );
XLALDestroyDopplerPhaseMetric ( metric2P );
XLALSegListClear ( &NsegList );
}
XLALPrintWarning("\n---------- ROUND 6: directed binary orbital metric ----------\n");
{
REAL8 Period = 68023.70496;
REAL8 Omega = LAL_TWOPI / Period;
REAL8 asini = 1.44;
REAL8 tAsc = 897753994;
REAL8 argp = 0;
LIGOTimeGPS tP; XLALGPSSetREAL8 ( &tP, tAsc + argp / Omega );
const PulsarDopplerParams dopScoX1 = {
.refTime = startTimeGPS,
.Alpha = Alpha,
.Delta = Delta,
.fkdot = { Freq },
.asini = asini,
.period = Period,
.tp = tP
};
REAL8 TspanScoX1 = 20 * 19 * 3600; // 20xPorb for long-segment regime
LALSegList XLAL_INIT_DECL(segListScoX1);
XLAL_CHECK ( XLALSegListInitSimpleSegments ( &segListScoX1, startTimeGPS, 1, TspanScoX1 ) == XLAL_SUCCESS, XLAL_EFUNC );
REAL8 tMid = XLALGPSGetREAL8(&startTimeGPS) + 0.5 * TspanScoX1;
REAL8 DeltaMidAsc = tMid - tAsc;
const DopplerCoordinateSystem coordSysScoX1 = { 6, { DOPPLERCOORD_FREQ, DOPPLERCOORD_ASINI, DOPPLERCOORD_TASC, DOPPLERCOORD_PORB, DOPPLERCOORD_KAPPA, DOPPLERCOORD_ETA } };
DopplerMetricParams pars_ScoX1 = {
.coordSys = coordSysScoX1,
.detMotionType = DETMOTION_SPIN | DETMOTION_ORBIT,
.segmentList = segListScoX1,
.multiIFO = multiIFO,
.multiNoiseFloor = multiNoiseFloor,
.signalParams = { .Amp = Amp, .Doppler = dopScoX1 },
.projectCoord = - 1, // -1==no projection
.approxPhase = 1,
};
pars_ScoX1.multiIFO.length = 1; // truncate to first detector
pars_ScoX1.multiNoiseFloor.length = 1; // truncate to first detector
// compute metric using modern UniversalDopplerMetric module: (used in lalapps_FstatMetric_v2)
DopplerPhaseMetric *metric_ScoX1;
XLAL_CHECK ( (metric_ScoX1 = XLALComputeDopplerPhaseMetric ( &pars_ScoX1, edat )) != NULL, XLAL_EFUNC );
// compute analytic metric computed from Eq.(47) in Leaci,Prix PRD91, 102003 (2015):
gsl_matrix *g0_ij;
XLAL_CHECK ( (g0_ij = gsl_matrix_calloc ( 6, 6 )) != NULL, XLAL_ENOMEM, "Failed to gsl_calloc a 6x6 matrix\n");
gsl_matrix_set ( g0_ij, 0, 0, pow ( LAL_PI * TspanScoX1, 2 ) / 3.0 );
gsl_matrix_set ( g0_ij, 1, 1, 2.0 * pow ( LAL_PI * Freq, 2 ) );
gsl_matrix_set ( g0_ij, 2, 2, 2.0 * pow ( LAL_PI * Freq * asini * Omega, 2 ) );
gsl_matrix_set ( g0_ij, 3, 3, 0.5 * pow ( Omega, 4 ) * pow ( Freq * asini, 2 ) * ( pow ( TspanScoX1, 2 ) / 12.0 + pow ( DeltaMidAsc, 2 ) ) );
REAL8 gPAsc = LAL_PI * pow ( Freq * asini, 2 ) * pow ( Omega, 3 ) * DeltaMidAsc;
gsl_matrix_set ( g0_ij, 2, 3, gPAsc );
gsl_matrix_set ( g0_ij, 3, 2, gPAsc );
gsl_matrix_set ( g0_ij, 4, 4, 0.5 * pow ( LAL_PI * Freq * asini, 2 ) );
gsl_matrix_set ( g0_ij, 5, 5, 0.5 * pow ( LAL_PI * Freq * asini, 2 ) );
GPMAT ( metric_ScoX1->g_ij, "%0.4e" );
GPMAT ( g0_ij, "%0.4e" );
// compare metrics against each other
REAL8 diff, tolScoX1 = 0.05;
XLAL_CHECK ( (diff = XLALCompareMetrics ( metric_ScoX1->g_ij, g0_ij )) < tolScoX1, XLAL_ETOL, "Error(gNum,gAn)= %g exceeds tolerance of %g\n", diff, tolScoX1 );
XLALPrintWarning ("diff_Num_An = %e\n", diff );
gsl_matrix_free ( g0_ij );
XLALDestroyDopplerPhaseMetric ( metric_ScoX1 );
XLALSegListClear ( &segListScoX1 );
}