void mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[]) {
double Jul1,Jul2;
int retVal;
if(nrhs!=2){
mexErrMsgTxt("Wrong number of inputs");
}
/*Extract the input arguments.*/
Jul1 = getDoubleFromMatlab(prhs[0]);
Jul2 = getDoubleFromMatlab(prhs[1]);
/*Call the function in the SOFA library.*/
retVal=iauTcbtdb(Jul1, Jul2, &Jul1, &Jul2);
if(retVal!=0) {
mexErrMsgTxt("An error occurred.");
}
plhs[0]=mxCreateDoubleMatrix(1,1,mxREAL);
*(double*)mxGetData(plhs[0])=Jul1;
if(nlhs>1) {
plhs[1]=mxCreateDoubleMatrix(1,1,mxREAL);
*(double*)mxGetData(plhs[1])=Jul2;
}
}
void mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[]) {
double R, P, T, wl;
double A,B;
if(nrhs>4) {
mexErrMsgTxt("Incorrect number of inputs.");
return;
}
if(nlhs>2) {
mexErrMsgTxt("Wrong number of outputs.");
return;
}
//Get the relative humidity
if(nrhs>0&&mxGetM(prhs[0])!=0) {
R=getDoubleFromMatlab(prhs[0]);
} else {//Otherwise get the value from the Constants class.
R=getScalarMatlabClassConst("Constants","standardRelHumid");
}
//Get the pressure
if(nrhs>1&&mxGetM(prhs[1])!=0) {
P=getDoubleFromMatlab(prhs[1]);
} else {//Otherwise, get the value from the Constants class.
P=getScalarMatlabClassConst("Constants","standardAtmosphericPressure");
}
//Get the temperature
if(nrhs>2&&mxGetM(prhs[2])!=0) {
T=getDoubleFromMatlab(prhs[2]);
} else {//Otherwise get the value from the Constants class.
T=getScalarMatlabClassConst("Constants","standardTemp");
}
//wl is inputted in meters, but needs to be in micrometers for the
//function iauAtco13
if(nrhs>3&&mxGetM(prhs[3])!=0) {
wl= getDoubleFromMatlab(prhs[3]);
} else {
wl=0.574e-6;
}
//Convert from Pascals to millibars.
P*=0.01;
//Convert from degrees Kelvin to degrees Centigrade.
T+=-273.15;
//Convert from meters to micrometers.
wl*=1e6;
//Get the parameters for the simple refraction model.
iauRefco(P, T, R, wl,&A, &B);
//Allocate space for the return values.
plhs[0]=doubleMat2Matlab(&A,1,1);
if(nlhs>1) {
plhs[1]=doubleMat2Matlab(&B,1,1);
}
}
void mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[]) {
double *vec, *retVec, TT1,TT2;
double rb[3][3], rp[3][3], rbp[3][3];
mxArray *retMATLAB;
size_t i, numItems;
if(nrhs!=3) {
mexErrMsgTxt("Wrong number of inputs");
return;
}
if(nlhs>1) {
mexErrMsgTxt("Wrong number of outputs");
return;
}
numItems=mxGetN(prhs[0]);
if(mxGetM(prhs[0])!=3) {
mexErrMsgTxt("vec has the wrong dimensionality. It must be an 3XN matrix.");
return;
}
checkRealDoubleArray(prhs[0]);
vec=(double*)mxGetData(prhs[0]);
TT1=getDoubleFromMatlab(prhs[1]);
TT2=getDoubleFromMatlab(prhs[2]);
//Allocate the return vector
retMATLAB=mxCreateDoubleMatrix(3,numItems,mxREAL);
retVec=mxGetData(retMATLAB);
//Call the IAU function to get the rotation matrix.
iauBp06(TT1, TT2, rb, rp, rbp);
//Invert the rotation matrix by transposing it.
iauTr(rb, rb);
for(i=0; i<numItems; i++) {
//Multiply the original vectors by the matrix to put it into the ICRS.
iauRxp(rb, vec+3*i, retVec+3*i);
}
//Set the return value.
plhs[0]=retMATLAB;
}
static double MatlabCallback(int n, const double *x, int *undefined_flag, void *data) {
mxArray *rhs[2];
mxArray *lhs[2];
double *oldPtr;
double fVal;
bool violatesConstraints;
//feval in Matlab will take the function handle and the state as
//inputs.
//The first function handle is f.
rhs[0]=(mxArray*)data;
rhs[1]=mxCreateNumericMatrix(0, 0, mxDOUBLE_CLASS, mxREAL);
//Set the matrix data to x
oldPtr=mxGetPr(rhs[1]);
//x will not be modified, but the const must be typecast away to use
//the mxSetPr function.
mxSetPr(rhs[1],(double*)x);
mxSetM(rhs[1], (size_t)n);
mxSetN(rhs[1], 1);
//Get the function value and gradient.
mexCallMATLAB(2,lhs,2,rhs,"feval");
//Get the function value.
fVal=getDoubleFromMatlab(lhs[0]);
violatesConstraints=getBoolFromMatlab(lhs[1]);
if(violatesConstraints) {
*undefined_flag=1;
}
//Get rid of the returned Matlab Matrices.
mxDestroyArray(lhs[0]);
mxDestroyArray(lhs[1]);
//Set the data pointer back to what it was during allocation that
//mxDestroyArray does not have a problem.
mxSetPr(rhs[1],oldPtr);
mxSetM(rhs[1], 0);
mxSetN(rhs[1], 0);
//Get rid of the temporary natrix.
mxDestroyArray(rhs[1]);
return fVal;
}
void mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[]) {
const mxArray *MatlabFunctionHandle;
direct_algorithm theAlgorithm=DIRECT_ORIGINAL;
const direct_objective_func f=&MatlabCallback;
size_t numDim;
double *lowerBounds;
double *upperBounds;
int maxFEval=500;
int maxIter=100;
double epsilon=1e-4;
double epsilonAbs=0;
double volumeRelTol=1e-10;
double sigmaRelTol=0;
double fGlobal=DIRECT_UNKNOWN_FGLOBAL;
double fGlobalRelTol=DIRECT_UNKNOWN_FGLOBAL;
int maxDiv=5000;
//To hold return values
direct_return_code retVal;
double *x;
double fVal;
if(nrhs<3||nrhs>4){
mexErrMsgTxt("Wrong number of inputs");
}
if(nlhs>3) {
mexErrMsgTxt("Wrong number of outputs.");
}
//Check that a function handle was passed.
if(!mxIsClass(prhs[0],"function_handle")) {
mexErrMsgTxt("The first input must be a function handle.");
}
MatlabFunctionHandle=prhs[0];
//Check the lower and upper bounds
checkRealDoubleArray(prhs[1]);
checkRealDoubleArray(prhs[2]);
numDim=mxGetM(prhs[1]);
if(numDim<1||mxGetN(prhs[1])!=1) {
mexErrMsgTxt("The lower bounds have the wrong dimensionality.");
}
if(mxGetM(prhs[2])!=numDim||mxGetN(prhs[1])!=1) {
mexErrMsgTxt("The upper bounds have the wrong dimensionality.");
}
//The function in the library only uses integers for dimensions.
if(numDim>INT_MAX) {
mexErrMsgTxt("The problem has too many dimensions to be solved using this function.");
}
lowerBounds=(double*)mxGetData(prhs[1]);
upperBounds=(double*)mxGetData(prhs[2]);
//If a structure of options was given
if(nrhs>3&&!mxIsEmpty(prhs[3])) {
//We have to check for every possible structure member.
mxArray *theField;
if(!mxIsStruct(prhs[3])) {
mexErrMsgTxt("The options must be given in a structure.");
}
theField=mxGetField(prhs[3],0,"algorithm");
if(theField!=NULL) {//If the field is present.
int algType=getIntFromMatlab(theField);
//Algorithm type
switch(algType) {
case 0:
theAlgorithm=DIRECT_ORIGINAL;
break;
case 1:
theAlgorithm=DIRECT_GABLONSKY;
break;
default:
mexErrMsgTxt("Invalid algorithm specified");
}
}
theField=mxGetField(prhs[3],0,"maxDiv");
if(theField!=NULL) {//If the field is present.
maxDiv=getIntFromMatlab(theField);
if(maxDiv<1) {
mexErrMsgTxt("Invalid maxDiv specified");
}
}
theField=mxGetField(prhs[3],0,"maxIter");
if(theField!=NULL) {//If the field is present.
maxIter=getIntFromMatlab(theField);
if(maxIter<1) {
mexErrMsgTxt("Invalid maxIter specified");
}
}
theField=mxGetField(prhs[3],0,"maxFEval");
if(theField!=NULL) {//If the field is present.
maxFEval=getIntFromMatlab(theField);
if(maxIter<1) {
mexErrMsgTxt("Invalid maxFEval specified");
}
}
theField=mxGetField(prhs[3],0,"epsilon");
if(theField!=NULL) {//If the field is present.
epsilon=getDoubleFromMatlab(theField);
if(fabs(epsilon)>=1) {
mexErrMsgTxt("Invalid epsilon specified");
}
}
theField=mxGetField(prhs[3],0,"epsilonAbs");
if(theField!=NULL) {//If the field is present.
epsilonAbs=getDoubleFromMatlab(theField);
if(epsilonAbs>=1||epsilonAbs<0) {
mexErrMsgTxt("Invalid epsilonAbs specified");
}
}
theField=mxGetField(prhs[3],0,"volumeRelTol");
if(theField!=NULL) {//If the field is present.
volumeRelTol=getDoubleFromMatlab(theField);
if(volumeRelTol>=1||volumeRelTol<0) {
mexErrMsgTxt("Invalid volumeRelTol specified");
}
}
theField=mxGetField(prhs[3],0,"sigmaRelTol");
if(theField!=NULL) {//If the field is present.
sigmaRelTol=getDoubleFromMatlab(theField);
if(sigmaRelTol>=1||sigmaRelTol<0) {
mexErrMsgTxt("Invalid sigmaRelTol specified");
}
}
theField=mxGetField(prhs[3],0,"fGlobal");
if(theField!=NULL) {//If the field is present.
fGlobal=getDoubleFromMatlab(theField);
fGlobalRelTol=1e-12;//Default value if fGlobal is given.
}
theField=mxGetField(prhs[3],0,"fGlobalRelTol");
if(theField!=NULL) {//If the field is present.
fGlobalRelTol=getDoubleFromMatlab(theField);
if(fGlobalRelTol<0) {
mexErrMsgTxt("Invalid fGlobalRelTol specified");
}
}
}
//Allocate space for the return values
x=mxCalloc(numDim, sizeof(double));
retVal=direct_optimize(f,//Objective function pointer
(void*)MatlabFunctionHandle,//Data that passed to the objective function. Here, the function handle passed by the user.
(int)numDim,//The dimensionality of the problem
lowerBounds,//Array of the lower bound of each dimension.
upperBounds,//Array of the upper bound of each dimension.
x,//An array that will be set to the optimum value on return.
&fVal,//On return, set to the minimum value.
maxFEval,//Maximum number of function evaluations.
maxIter,//Maximum number of iterations
epsilon,//Jones' epsilon parameter (1e-4 is recommended)
epsilonAbs,//An absolute version of magic_eps
//Relative tolerance on the hypercube volume (use 0 if none). This is
//a percentage (0-1) of the volume of the original hypercube
volumeRelTol,
//Relative tolerance on the hypercube measure (0 if none)
sigmaRelTol,
//A pointer to a variable that can terminate the optimization. This is
//in the library's code so that an external thread can write to this
//and force the optimization to stop. Here, we are not using it, so we
//can pass NULL.
NULL,
fGlobal,//Function value of the global optimum, if known. Use DIRECT_UNKNOWN_FGLOBAL if unknown.
fGlobalRelTol,//Relative tolerance for convergence if fglobal is known. If unknown, use DIRECT_UNKNOWN_FGLOBAL.
NULL,//There is no output to a file.
theAlgorithm,//The algorithm to use
maxDiv);//The maximum number of hyperrectangle divisions
//If an error occurred
if(retVal<0) {
mxFree(x);
switch(retVal){
case DIRECT_INVALID_BOUNDS:
mexErrMsgTxt("Upper bounds are <= lower bounds for one or more dimensions.");
case DIRECT_MAXFEVAL_TOOBIG:
mexErrMsgTxt("maxFEval is too large.");
case DIRECT_INIT_FAILED:
mexErrMsgTxt("An initialization step failed.");
case DIRECT_SAMPLEPOINTS_FAILED:
mexErrMsgTxt("An error occurred creating sampling points.");
case DIRECT_SAMPLE_FAILED:
mexErrMsgTxt("An error occurred while sampling the function.");
case DIRECT_OUT_OF_MEMORY:
mexErrMsgTxt("Out of memory");
case DIRECT_INVALID_ARGS:
mexErrMsgTxt("Invalid arguments provided");
//These errors should not occur either because they should
//never be called or because retVal>=0 so these are not
//actually errors.
case DIRECT_FORCED_STOP:
case DIRECT_MAXFEVAL_EXCEEDED:
case DIRECT_MAXITER_EXCEEDED:
case DIRECT_GLOBAL_FOUND:
case DIRECT_VOLTOL:
case DIRECT_SIGMATOL:
case DIRECT_MAXTIME_EXCEEDED:
default:
mexErrMsgTxt("An unknown error occurred.");
}
}
//Set the return values
plhs[0]=mxCreateNumericMatrix(0, 0, mxDOUBLE_CLASS, mxREAL);
mxFree(mxGetPr(plhs[0]));
mxSetPr(plhs[0], x);
mxSetM(plhs[0], numDim);
mxSetN(plhs[0], 1);
if(nlhs>1) {
plhs[1]=doubleMat2Matlab(&fVal,1,1);
if(nlhs>2) {
plhs[2]=intMat2MatlabDoubles(&retVal,1,1);
}
}
}
void mexFunction(const int nlhs, mxArray *plhs[], const int nrhs, const mxArray *prhs[]) {
double u, scalFactor;
ClusterSetCPP<double> HBar;
ClusterSetCPP<double> dHBardu;//The first derivatives
ClusterSetCPP<double> d2HBardu2;//The second derivatives
size_t M, numH, i;
mxArray *CSRetVal;
mxArray *clusterElsMATLAB,*clusterSizesMATLAB, *offsetArrayMATLAB;
if(nrhs!=3){
mexErrMsgTxt("Incorrect number of inputs.");
return;
}
u=getDoubleFromMatlab(prhs[0]);
M=getSizeTFromMatlab(prhs[1]);
scalFactor=getDoubleFromMatlab(prhs[2]);
if(M<3) {
mexErrMsgTxt("The maximum order should be at least 3.");
return;
}
numH=(M+1)*(M+2)/2;
//Allocate space for the results.
clusterElsMATLAB=mxCreateDoubleMatrix(numH,1,mxREAL);
clusterSizesMATLAB=allocUnsignedSizeMatInMatlab(M+1,1);
offsetArrayMATLAB=allocUnsignedSizeMatInMatlab(M+1,1);
HBar.numClust=M+1;
HBar.totalNumEl=numH;
HBar.clusterEls=reinterpret_cast<double*>(mxGetData(clusterElsMATLAB));
HBar.offsetArray=reinterpret_cast<size_t*>(mxGetData(offsetArrayMATLAB));
HBar.clusterSizes=reinterpret_cast<size_t*>(mxGetData(clusterSizesMATLAB));
//Initialize the offset array and cluster sizes.
HBar.offsetArray[0]=0;
HBar.clusterSizes[0]=1;
for(i=1;i<=M;i++){
HBar.clusterSizes[i]=i+1;
HBar.offsetArray[i]=HBar.offsetArray[i-1]+HBar.clusterSizes[i-1];
}
normHelmHoltzCPP(HBar,u,scalFactor);
//Set the first return value
mexCallMATLAB(1,&CSRetVal,0, 0, "ClusterSet");
mxSetProperty(CSRetVal,0,"clusterEls",clusterElsMATLAB);
mxSetProperty(CSRetVal,0,"clusterSizes",clusterSizesMATLAB);
mxSetProperty(CSRetVal,0,"offsetArray",offsetArrayMATLAB);
plhs[0]=CSRetVal;
if(nlhs>1) {//Compute the first derivatives, if they are desired.
mxArray *clusterEls1stDerivMATLAB=mxCreateDoubleMatrix(numH,1,mxREAL);
dHBardu.numClust=M+1;
dHBardu.totalNumEl=numH;
dHBardu.clusterEls=reinterpret_cast<double*>(mxGetData(clusterEls1stDerivMATLAB));
dHBardu.offsetArray=reinterpret_cast<size_t*>(mxGetData(offsetArrayMATLAB));
dHBardu.clusterSizes=reinterpret_cast<size_t*>(mxGetData(clusterSizesMATLAB));
normHelmHoltzDerivCPP(dHBardu,HBar);
//Set the second return value
mexCallMATLAB(1,&CSRetVal,0, 0, "ClusterSet");
mxSetProperty(CSRetVal,0,"clusterEls",clusterEls1stDerivMATLAB);
mxSetProperty(CSRetVal,0,"clusterSizes",clusterSizesMATLAB);
mxSetProperty(CSRetVal,0,"offsetArray",offsetArrayMATLAB);
plhs[1]=CSRetVal;
mxDestroyArray(clusterEls1stDerivMATLAB);
}
if(nlhs>2) {//Compute the second derivatives if they are desired.
mxArray *clusterEls2ndDerivMATLAB=mxCreateDoubleMatrix(numH,1,mxREAL);
d2HBardu2.numClust=M+1;
d2HBardu2.totalNumEl=numH;
d2HBardu2.clusterEls=reinterpret_cast<double*>(mxGetData(clusterEls2ndDerivMATLAB));
d2HBardu2.offsetArray=reinterpret_cast<size_t*>(mxGetData(offsetArrayMATLAB));
d2HBardu2.clusterSizes=reinterpret_cast<size_t*>(mxGetData(clusterSizesMATLAB));
normHelmHoltzDeriv2CPP(d2HBardu2,HBar);
//Set the third return value
mexCallMATLAB(1,&CSRetVal,0, 0, "ClusterSet");
mxSetProperty(CSRetVal,0,"clusterEls",clusterEls2ndDerivMATLAB);
mxSetProperty(CSRetVal,0,"clusterSizes",clusterSizesMATLAB);
mxSetProperty(CSRetVal,0,"offsetArray",offsetArrayMATLAB);
plhs[2]=CSRetVal;
mxDestroyArray(clusterEls2ndDerivMATLAB);
}
//Free the buffers. The mxSetProperty command copied the data.
mxDestroyArray(clusterElsMATLAB);
mxDestroyArray(clusterSizesMATLAB);
mxDestroyArray(offsetArrayMATLAB);
}
void mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[]) {
size_t numRow,numVec;
mxArray *retMat;
double *xVec, *retData;
double TT1, TT2, UT11, UT12;
//The if-statements below should properly initialize all of the EOP.
//The following initializations to zero are to suppress warnings when
//compiling with -Wconditional-uninitialized.
double dX=0;
double dY=0;
double deltaT=0;
double LOD=0;
double GCRS2TIRS[3][3];
//Polar motion matrix. ITRS=POM*TIRS. We will just be setting it to the
//identity matrix as polar motion is not taken into account when going
//to the TIRS.
double rident[3][3]={{1,0,0},{0,1,0},{0,0,1}};
double Omega[3];//The rotation vector in the TIRS
if(nrhs<3||nrhs>6){
mexErrMsgTxt("Wrong number of inputs");
}
if(nlhs>2) {
mexErrMsgTxt("Wrong number of outputs.");
}
checkRealDoubleArray(prhs[0]);
numRow = mxGetM(prhs[0]);
numVec = mxGetN(prhs[0]);
if(!(numRow==3||numRow==6)) {
mexErrMsgTxt("The input vector has a bad dimensionality.");
}
xVec=(double*)mxGetData(prhs[0]);
TT1=getDoubleFromMatlab(prhs[1]);
TT2=getDoubleFromMatlab(prhs[2]);
//If some values from the function getEOP will be needed
if(nrhs<=5||mxIsEmpty(prhs[3])||mxIsEmpty(prhs[4])||mxIsEmpty(prhs[5])) {
mxArray *retVals[5];
double *dXdY;
mxArray *JulUTCMATLAB[2];
double JulUTC[2];
int retVal;
//Get the time in UTC to look up the parameters by going to TAI and
//then UTC.
retVal=iauTttai(TT1, TT2, &JulUTC[0], &JulUTC[1]);
if(retVal!=0) {
mexErrMsgTxt("An error occurred computing TAI.");
}
retVal=iauTaiutc(JulUTC[0], JulUTC[1], &JulUTC[0], &JulUTC[1]);
switch(retVal){
case 1:
mexWarnMsgTxt("Dubious Date entered.");
break;
case -1:
mexErrMsgTxt("Unacceptable date entered");
break;
default:
break;
}
JulUTCMATLAB[0]=doubleMat2Matlab(&JulUTC[0],1,1);
JulUTCMATLAB[1]=doubleMat2Matlab(&JulUTC[1],1,1);
//Get the Earth orientation parameters for the given date.
mexCallMATLAB(5,retVals,2,JulUTCMATLAB,"getEOP");
mxDestroyArray(JulUTCMATLAB[0]);
mxDestroyArray(JulUTCMATLAB[1]);
//%We do not need the polar motion coordinates.
mxDestroyArray(retVals[0]);
checkRealDoubleArray(retVals[1]);
if(mxGetM(retVals[1])!=2||mxGetN(retVals[1])!=1) {
mxDestroyArray(retVals[1]);
mxDestroyArray(retVals[2]);
mxDestroyArray(retVals[3]);
mxDestroyArray(retVals[4]);
mexErrMsgTxt("Error using the getEOP function.");
return;
}
dXdY=(double*)mxGetData(retVals[1]);
dX=dXdY[0];
dY=dXdY[1];
//This is TT-UT1
deltaT=getDoubleFromMatlab(retVals[3]);
LOD=getDoubleFromMatlab(retVals[4]);
//Free the returned arrays.
mxDestroyArray(retVals[1]);
mxDestroyArray(retVals[2]);
mxDestroyArray(retVals[3]);
mxDestroyArray(retVals[4]);
}
//If deltaT=TT-UT1 is given
if(nrhs>3&&!mxIsEmpty(prhs[3])) {
deltaT=getDoubleFromMatlab(prhs[3]);
}
//Obtain UT1 from terestrial time and deltaT.
iauTtut1(TT1, TT2, deltaT, &UT11, &UT12);
//Get celestial pole offsets, if given.
if(nrhs>4&&!mxIsEmpty(prhs[4])) {
size_t dim1, dim2;
checkRealDoubleArray(prhs[4]);
dim1 = mxGetM(prhs[4]);
dim2 = mxGetN(prhs[4]);
if((dim1==2&&dim2==1)||(dim1==1&&dim2==2)) {
double *dXdY=(double*)mxGetData(prhs[4]);
dX=dXdY[0];
dY=dXdY[1];
} else {
mexErrMsgTxt("The celestial pole offsets have the wrong dimensionality.");
return;
}
}
//If LOD is given
if(nrhs>5&&mxIsEmpty(prhs[5])) {
LOD=getDoubleFromMatlab(prhs[5]);
}
//Compute the rotation matrix for going from GCRS to ITRS as well as
//the instantaneous vector angular momentum due to the Earth's rotation
//in TIRS coordinates.
{
double x, y, s, era;
double rc2i[3][3];
double omega;
//Get the X,Y coordinates of the Celestial Intermediate Pole (CIP) and
//the Celestial Intermediate Origin (CIO) locator s, using the IAU 2006
//precession and IAU 2000A nutation models.
iauXys06a(TT1, TT2, &x, &y, &s);
//Add the CIP offsets.
x += dX;
y += dY;
//Get the GCRS-to-CIRS matrix
iauC2ixys(x, y, s, rc2i);
//Find the Earth rotation angle for the given UT1 time.
era = iauEra00(UT11, UT12);
//Set the polar motion matrix to the identity matrix so that the
//conversion stops at the TIRS instead of the ITRS.
//Combine the GCRS-to-CIRS matrix, the Earth rotation angle, and use
//the identity matrix instead of the polar motion matrix to get a
//to get the rotation matrix to go from GCRS to TIRS.
iauC2tcio(rc2i, era, rident,GCRS2TIRS);
//Next, to be able to transform the velocity, the rotation of the Earth
//has to be taken into account.
//The angular velocity vector of the Earth in the TIRS in radians.
omega=getScalarMatlabClassConst("Constants","IERSMeanEarthRotationRate");
//Adjust for LOD
omega=omega*(1-LOD/86400.0);//86400.0 is the number of seconds in a TT
//day.
Omega[0]=0;
Omega[1]=0;
Omega[2]=omega;
}
//Allocate space for the return vectors.
retMat=mxCreateDoubleMatrix(numRow,numVec,mxREAL);
retData=(double*)mxGetData(retMat);
{
size_t curVec;
for(curVec=0;curVec<numVec;curVec++) {
//Multiply the position vector with the rotation matrix.
iauRxp(GCRS2TIRS, xVec+numRow*curVec, retData+numRow*curVec);
//If a velocity vector was given.
if(numRow>3) {
double *posGCRS=xVec+numRow*curVec;
double posTIRS[3];
double *velGCRS=xVec+numRow*curVec+3;//Velocity in GCRS
double velTIRS[3];
double *retDataVel=retData+numRow*curVec+3;
double rotVel[3];
//If a velocity was provided with the position, first
//convert to TIRS coordinates, then account for the
//rotation of the Earth.
//Convert velocity from GCRS to TIRS.
iauRxp(GCRS2TIRS, velGCRS, velTIRS);
//Convert position from GCRS to TIRS
iauRxp(GCRS2TIRS, posGCRS, posTIRS);
//Evaluate the cross product for the angular velocity due
//to the Earth's rotation.
iauPxp(Omega, posTIRS, rotVel);
//Subtract out the instantaneous velocity due to rotation.
iauPmp(velTIRS, rotVel, retDataVel);
}
}
}
plhs[0]=retMat;
//If the rotation matrix is desired on the output.
if(nlhs>1) {
double *elPtr;
size_t i,j;
plhs[1]=mxCreateDoubleMatrix(3,3,mxREAL);
elPtr=(double*)mxGetData(plhs[1]);
for (i=0;i<3;i++) {
for(j=0;j<3;j++) {
elPtr[i+3*j]=GCRS2TIRS[i][j];
}
}
}
}
void mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[]) {
size_t numRow,numVec;
mxArray *retMat;
double *retData;
double ITRS2TIRS[3][3];//Inverse polar motion matrix
double *xVec, TT1, TT2;
double xp=0;
double yp=0;//The polar motion coordinates
if(nrhs<3||nrhs>4){
mexErrMsgTxt("Wrong number of inputs");
}
if(nlhs>2) {
mexErrMsgTxt("Wrong number of outputs.");
}
numRow = mxGetM(prhs[0]);
numVec = mxGetN(prhs[0]);
if(!(numRow==3||numRow==6)) {
mexErrMsgTxt("The input vector has a bad dimensionality.");
}
checkRealDoubleArray(prhs[0]);
xVec=(double*)mxGetData(prhs[0]);
TT1=getDoubleFromMatlab(prhs[1]);
TT2=getDoubleFromMatlab(prhs[2]);
//If xpyp should be found using the function getEOP.
if(nrhs<4||mxIsEmpty(prhs[3])) {
mxArray *retVals[1];
double *xpyp;
mxArray *JulUTCMATLAB[2];
double JulUTC[2];
int retVal;
//Get the time in UTC to look up the parameters by going to TAI and
//then UTC.
retVal=iauTttai(TT1, TT2, &JulUTC[0], &JulUTC[1]);
if(retVal!=0) {
mexErrMsgTxt("An error occurred computing TAI.");
}
retVal=iauTaiutc(JulUTC[0], JulUTC[1], &JulUTC[0], &JulUTC[1]);
switch(retVal){
case 1:
mexWarnMsgTxt("Dubious Date entered.");
break;
case -1:
mexErrMsgTxt("Unacceptable date entered");
break;
default:
break;
}
JulUTCMATLAB[0]=doubleMat2Matlab(&JulUTC[0],1,1);
JulUTCMATLAB[1]=doubleMat2Matlab(&JulUTC[1],1,1);
//Get the Earth orientation parameters for the given date.
mexCallMATLAB(1,retVals,2,JulUTCMATLAB,"getEOP");
mxDestroyArray(JulUTCMATLAB[0]);
mxDestroyArray(JulUTCMATLAB[1]);
checkRealDoubleArray(retVals[0]);
if(mxGetM(retVals[0])!=2||mxGetN(retVals[0])!=1) {
mxDestroyArray(retVals[0]);
mexErrMsgTxt("Error using the getEOP function.");
return;
}
xpyp=(double*)mxGetData(retVals[0]);
xp=xpyp[0];
yp=xpyp[1];
//Free the returned array.
mxDestroyArray(retVals[0]);
}
//Get polar motion coordinates, if given.
if(nrhs>3&&!mxIsEmpty(prhs[3])) {
size_t dim1, dim2;
checkRealDoubleArray(prhs[3]);
dim1 = mxGetM(prhs[3]);
dim2 = mxGetN(prhs[3]);
if((dim1==2&&dim2==1)||(dim1==1&&dim2==2)) {
double *xpyp=(double*)mxGetData(prhs[3]);
xp=xpyp[0];
yp=xpyp[1];
} else {
mexErrMsgTxt("The polar motion coordinates have the wrong dimensionality.");
return;
}
}
//Get the rotation matrix from TIRS to ITRS.
{
double sp;
double TIRS2ITRS[3][3];//Polar motion matrix
//Get the Terrestrial Intermediate Origin (TIO) locator s' in
//radians
sp=iauSp00(TT1,TT2);
//Get the polar motion matrix
iauPom00(xp,yp,sp,TIRS2ITRS);
//The inverse polar motion matrix is given by the transpose of the
//polar motion matrix.
iauTr(TIRS2ITRS, ITRS2TIRS);
}
//Allocate space for the return vectors.
retMat=mxCreateDoubleMatrix(numRow,numVec,mxREAL);
retData=(double*)mxGetData(retMat);
{
size_t curVec;
for(curVec=0;curVec<numVec;curVec++) {
//Multiply the position vector with the rotation matrix.
iauRxp(ITRS2TIRS, xVec+numRow*curVec, retData+numRow*curVec);
//Multiply the velocity vector with the rotation matrix.
if(numRow>3) {
double *velITRS=xVec+numRow*curVec+3;//Velocity in ITRS
double *retDataVel=retData+numRow*curVec+3;//Velocity in ITRS
//Convert velocity from ITRS to TIRS.
iauRxp(ITRS2TIRS, velITRS, retDataVel);
}
}
}
plhs[0]=retMat;
if(nlhs>1) {
double *elPtr;
size_t i,j;
plhs[1]=mxCreateDoubleMatrix(3,3,mxREAL);
elPtr=(double*)mxGetData(plhs[1]);
for (i=0;i<3;i++) {
for(j=0;j<3;j++) {
elPtr[i+3*j]=ITRS2TIRS[i][j];
}
}
}
}
void mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[]) {
double TT1,TT2,*xVec;
double deltaT=0;
double LOD=0;
size_t numRow,numVec;
double CIRS2TIRS[3][3];
double TIRS2CIRS[3][3];
double Omega[3];//The rotation vector in the TIRS
mxArray *retMat;
double *retData;
if(nrhs<3||nrhs>5){
mexErrMsgTxt("Wrong number of inputs");
}
if(nlhs>2) {
mexErrMsgTxt("Wrong number of outputs.");
}
checkRealDoubleArray(prhs[0]);
numRow = mxGetM(prhs[0]);
numVec = mxGetN(prhs[0]);
if(!(numRow==3||numRow==6)) {
mexErrMsgTxt("The input vector has a bad dimensionality.");
}
xVec=(double*)mxGetData(prhs[0]);
TT1=getDoubleFromMatlab(prhs[1]);
TT2=getDoubleFromMatlab(prhs[2]);
//If some values from the function getEOP will be needed
if(nrhs<=4||mxIsEmpty(prhs[3])||mxIsEmpty(prhs[4])) {
mxArray *retVals[5];
mxArray *JulUTCMATLAB[2];
double JulUTC[2];
int retVal;
//Get the time in UTC to look up the parameters by going to TAI and
//then UTC.
retVal=iauTttai(TT1, TT2, &JulUTC[0], &JulUTC[1]);
if(retVal!=0) {
mexErrMsgTxt("An error occurred computing TAI.");
}
retVal=iauTaiutc(JulUTC[0], JulUTC[1], &JulUTC[0], &JulUTC[1]);
switch(retVal){
case 1:
mexWarnMsgTxt("Dubious Date entered.");
break;
case -1:
mexErrMsgTxt("Unacceptable date entered");
break;
default:
break;
}
JulUTCMATLAB[0]=doubleMat2Matlab(&JulUTC[0],1,1);
JulUTCMATLAB[1]=doubleMat2Matlab(&JulUTC[1],1,1);
//Get the Earth orientation parameters for the given date.
mexCallMATLAB(5,retVals,2,JulUTCMATLAB,"getEOP");
mxDestroyArray(JulUTCMATLAB[0]);
mxDestroyArray(JulUTCMATLAB[1]);
//We do not need the polar motion coordinates.
mxDestroyArray(retVals[0]);
//We do not need the celestial pole offsets.
mxDestroyArray(retVals[1]);
//This is TT-UT1
deltaT=getDoubleFromMatlab(retVals[3]);
LOD=getDoubleFromMatlab(retVals[4]);
//Free the returned arrays.
mxDestroyArray(retVals[2]);
mxDestroyArray(retVals[3]);
mxDestroyArray(retVals[4]);
}
//If deltaT=TT-UT1 is given
if(nrhs>3&&!mxIsEmpty(prhs[3])) {
deltaT=getDoubleFromMatlab(prhs[3]);
}
//If LOD is given
if(nrhs>4&&!mxIsEmpty(prhs[4])) {
LOD=getDoubleFromMatlab(prhs[4]);
}
//Compute the rotation matrix for going from CIRS to TIRS as well as
//the instantaneous vector angular momentum due to the Earth's rotation
//in GCRS coordinates.
{
double UT11, UT12;
double era, omega;
//Obtain UT1 from terestrial time and deltaT.
iauTtut1(TT1, TT2, deltaT, &UT11, &UT12);
//Find the Earth rotation angle for the given UT1 time.
era = iauEra00(UT11, UT12);
//Construct the rotation matrix.
CIRS2TIRS[0][0]=1;
CIRS2TIRS[0][1]=0;
CIRS2TIRS[0][2]=0;
CIRS2TIRS[1][0]=0;
CIRS2TIRS[1][1]=1;
CIRS2TIRS[1][2]=0;
CIRS2TIRS[2][0]=0;
CIRS2TIRS[2][1]=0;
CIRS2TIRS[2][2]=1;
iauRz(era, CIRS2TIRS);
//To go from the TIRS to the GCRS, we need to use the inverse rotation
//matrix, which is just the transpose of the rotation matrix.
iauTr(CIRS2TIRS, TIRS2CIRS);
//Next, to be able to transform the velocity, the rotation of the Earth
//has to be taken into account.
//The angular velocity vector of the Earth in the TIRS in radians.
omega=getScalarMatlabClassConst("Constants","IERSMeanEarthRotationRate");
//Adjust for LOD
omega=omega*(1-LOD/86400.0);//86400.0 is the number of seconds in a TT
//day.
Omega[0]=0;
Omega[1]=0;
Omega[2]=omega;
}
//Allocate space for the return vectors.
retMat=mxCreateDoubleMatrix(numRow,numVec,mxREAL);
retData=(double*)mxGetData(retMat);
{
size_t curVec;
for(curVec=0;curVec<numVec;curVec++) {
//Multiply the position vector with the rotation matrix.
iauRxp(TIRS2CIRS, xVec+numRow*curVec, retData+numRow*curVec);
//If a velocity vector was given.
if(numRow>3) {
double *posTIRS=xVec+numRow*curVec;
double *velTIRS=xVec+numRow*curVec+3;//Velocity in GCRS
double *retDataVel=retData+numRow*curVec+3;
double rotVel[3];
//Evaluate the cross product for the angular velocity due
//to the Earth's rotation.
iauPxp(Omega, posTIRS, rotVel);
//Add the instantaneous velocity due to rotation.
iauPpp(velTIRS, rotVel, retDataVel);
//Rotate from TIRS to GCRS
iauRxp(TIRS2CIRS, retDataVel, retDataVel);
}
}
}
plhs[0]=retMat;
if(nlhs>1) {
double *elPtr;
size_t i,j;
plhs[1]=mxCreateDoubleMatrix(3,3,mxREAL);
elPtr=(double*)mxGetData(plhs[1]);
for (i=0;i<3;i++) {
for(j=0;j<3;j++) {
elPtr[i+3*j]=TIRS2CIRS[i][j];
}
}
}
}
void mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[]) {
//The Julan date in TT at the epoch used in the orbital propagation
//algorithm: 0:00 January 1 1950
const double epochDate=2433281.5;
double *deltaT;
size_t numTimes;
double SGP4Elements[7],elementEpochTime;
bool opsMode=0;
char opsChar;
bool gravityModel=0;
gravconsttype gravConstType;
mxArray *retMat;
double *retVec;
mxArray *errorMat;
double *errorVals;
if(nrhs<2||nrhs>6||nrhs==3) {
mexErrMsgTxt("Incorrect number of inputs.");
return;
}
if(nlhs>2) {
mexErrMsgTxt("Wrong number of outputs.");
return;
}
{
const size_t M=mxGetM(prhs[0]);
const size_t N=mxGetN(prhs[0]);
if(!((M==7&&N==1)||(N==7&&M==1))) {
mexErrMsgTxt("The SGP4 elements have the wrong dimensionality.");
return;
}
}
checkRealDoubleArray(prhs[0]);
{
size_t i;
double *theEls;
theEls=(double*)mxGetData(prhs[0]);
//Copy the elements into SGP4Elements, adjusting the units from SI
//to the values used here.
for(i=0;i<5;i++) {
SGP4Elements[i]=theEls[i];
}
//The multipliation by 60 changes the value from radians per second
//to radians per minute as desired by the SGP4 code.
SGP4Elements[5]=theEls[5]*60.0;
SGP4Elements[6]=theEls[6];
}
{
const size_t M=mxGetM(prhs[1]);
const size_t N=mxGetN(prhs[1]);
if((M!=1&&N!=1)||mxIsEmpty(prhs[1])) {
mexErrMsgTxt("The times have the wrong dimensionality.");
return;
}
numTimes=std::max(M,N);
}
checkRealDoubleArray(prhs[1]);
deltaT=(double*)mxGetData(prhs[1]);
if(nrhs>2&&!mxIsEmpty(prhs[2])&&!mxIsEmpty(prhs[3])) {
const double TT1=getDoubleFromMatlab(prhs[2]);
const double TT2=getDoubleFromMatlab(prhs[3]);
if(TT1>TT2) {
elementEpochTime=(TT1-epochDate)+TT2;
} else {
elementEpochTime=(TT2-epochDate)+TT1;
}
} else {
//No time is given. Make sure that the deep space propagator is not
//going to be used. Otherwise, the time value does not matter.
elementEpochTime=0;
if(2*pi/SGP4Elements[5]>=225) {
mexErrMsgTxt("The elements imply the use of the deep space propagator, but no time was given.");
return;
}
}
if(nrhs>4) {
opsMode=getBoolFromMatlab(prhs[4]);
}
if(opsMode==0) {
opsChar='a';
} else {
opsChar='i';
}
if(nrhs>5) {
gravityModel=getBoolFromMatlab(prhs[5]);
}
if(gravityModel==0) {
gravConstType=wgs72;
} else {
gravConstType=wgs84;
}
//Allocate space for the return values
retMat=mxCreateDoubleMatrix(6,numTimes,mxREAL);
retVec=(double*)mxGetData(retMat);
errorMat=mxCreateDoubleMatrix(numTimes,1,mxREAL);
errorVals=(double*)mxGetData(errorMat);
{
//This will be filled with the ephemeris information needed for
//propagating the satellite.
elsetrec satRec;
size_t i;
sgp4init(gravConstType,//Specified WGS-84 or WGS-72
opsChar,
elementEpochTime,//Epoch time of the orbital elements.
SGP4Elements[6],//BSTAR drag term.
SGP4Elements[0],//Eccentricity
SGP4Elements[2],//Argument of perigee
SGP4Elements[1],//Inclination
SGP4Elements[4],//Mean anomaly
SGP4Elements[5],//Mean motion
SGP4Elements[3],//Righ ascension of the ascending node.
satRec);//Gets filled by the function.
//Do the actual propagation.
//The division by 60 transforms the time value from seconds to
//minutes, as the SGP4 code wants the result in minutes.
for(i=0;i<numTimes;i++) {
double *r=retVec+6*i;
double *v=retVec+6*i+3;
int j;
sgp4(gravConstType, satRec, deltaT[i]/60.0, r, v);
//Convert the units from kilometers and kilometers per second
//to meters and meters per second.
for(j=0;j<3;j++) {
r[j]=1000*r[j];
v[j]=1000*v[j];
}
errorVals[i]=(double)satRec.error;
}
}
//Save the result
plhs[0]=retMat;
//If the error value is desired.
if(nlhs>1) {
plhs[1]=errorMat;
} else{
mxDestroyArray(errorMat);
}
}
void mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[]) {
double TT1,TT2,TDB1,TDB2,Jul2,deltaTTUT1,deltaT,Jul1UT1, Jul2UT1,UT1Frac;
double u, v, elon;
int retVal;
if(nrhs<2||nrhs>4){
mexErrMsgTxt("Wrong number of inputs.");
return;
}
if(nlhs>2){
mexErrMsgTxt("Wrong number of outputs.");
return;
}
TT1=getDoubleFromMatlab(prhs[0]);
TT2=getDoubleFromMatlab(prhs[1]);
//If the parameter is given and is not just an empty matrix.
if(nrhs>2&&!(mxGetM(prhs[2])==0||mxGetN(prhs[2])==0)) {
deltaTTUT1=getDoubleFromMatlab(prhs[2]);
} else {
mxArray *retVals[4];
mxArray *JulUTCMATLAB[2];
double JulUTC[2];
//Get the time in UTC to look up the parameters by going to TAI and
//then UTC.
retVal=iauTttai(TT1, TT2, &JulUTC[0], &JulUTC[1]);
if(retVal!=0) {
mexErrMsgTxt("An error occurred computing TAI.");
}
retVal=iauTaiutc(JulUTC[0], JulUTC[1], &JulUTC[0], &JulUTC[1]);
switch(retVal){
case 1:
mexWarnMsgTxt("Dubious Date entered.");
break;
case -1:
mexErrMsgTxt("Unacceptable date entered");
break;
default:
break;
}
JulUTCMATLAB[0]=doubleMat2Matlab(&JulUTC[0],1,1);
JulUTCMATLAB[1]=doubleMat2Matlab(&JulUTC[1],1,1);
//Get the Earth orientation parameters for the given date.
mexCallMATLAB(4,retVals,2,JulUTCMATLAB,"getEOP");
//This is TT-UT1
deltaTTUT1=getDoubleFromMatlab(retVals[3]);
//Free the returned arrays.
mxDestroyArray(retVals[0]);
mxDestroyArray(retVals[1]);
mxDestroyArray(retVals[2]);
mxDestroyArray(retVals[3]);
mxDestroyArray(JulUTCMATLAB[0]);
mxDestroyArray(JulUTCMATLAB[1]);
}
if(nrhs>3) {
double *xyzClock;
if(mxGetM(prhs[3])!=3||mxGetN(prhs[3])!=1) {
mexErrMsgTxt("The dimensionality of the clock location is incorrect.");
return;
}
checkRealDoubleArray(prhs[3]);
xyzClock=(double*)mxGetData(prhs[3]);
//Convert from meters to kilometers.
xyzClock[0]/=1000;xyzClock[1]/=1000;xyzClock[2]/=1000;
u=sqrt(xyzClock[0]*xyzClock[0] + xyzClock[1]*xyzClock[1]);
v=xyzClock[2];
elon=atan2(xyzClock[1],xyzClock[0]);
} else {
u=0;
v=0;
elon=0;
}
//Get UT1
retVal=iauTtut1(TT1, TT2, deltaTTUT1, &Jul1UT1, &Jul2UT1);
switch(retVal) {
case -1:
mexErrMsgTxt("Unacceptable date provided.");
return;
case 1:
mexWarnMsgTxt("Dubious year provided\n");
break;
default:
break;
}
//Find the fraction of a Julian day in UT1
UT1Frac=(Jul1UT1-floor(Jul1UT1))+(Jul2UT1-floor(Jul2UT1));
UT1Frac=UT1Frac-floor(UT1Frac);
/*Compute TDB-TT. The function iauDtdb takes TDB as an input, but we
*only have TT. The documentation for iauDtdb says that TT can be
*substituted within the precision limits of the function. However, an
*extra iteration is performed here to try to make the result
*consistent with TDB2TT to a few more digits of precision.*/
TDB1=TT1;
TDB2=TT2;
{
int curIter;
for(curIter=0;curIter<2;curIter++) {
deltaT = iauDtdb(TDB1, TDB2, UT1Frac, elon, u, v);
//TT -> TDB
retVal = iauTttdb(TT1, TT2, deltaT, &TDB1, &TDB2);
if(retVal!=0) {
mexErrMsgTxt("An error occured during an intermediate conversion to TDB.\n");
return;
}
}
}
plhs[0]=doubleMat2Matlab(&TDB1,1, 1);
if(nlhs>1) {
plhs[1]=doubleMat2Matlab(&TDB2,1, 1);
}
}
void mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[]) {
size_t numRow,numVec;
mxArray *retMat;
double *xVec, *retData;
double TT1, TT2, UT11, UT12;
//The if-statements below should properly initialize all of the EOP.
//The following initializations to zero are to suppress warnings when
//compiling with -Wconditional-uninitialized.
double xp=0;
double yp=0;
double deltaT=0;
double LOD=0;
double ITRS2TEME[3][3];
double PEF2TEME[3][3];
double WInv[3][3];//The inverse polar motion matrix to go from ITRS to PEF.
double Omega[3];//The angular velocity vector for the Earth's rotation.
if(nrhs<3||nrhs>6){
mexErrMsgTxt("Wrong number of inputs");
}
if(nlhs>2) {
mexErrMsgTxt("Wrong number of outputs.");
return;
}
checkRealDoubleArray(prhs[0]);
numRow = mxGetM(prhs[0]);
numVec = mxGetN(prhs[0]);
if(!(numRow==3||numRow==6)) {
mexErrMsgTxt("The input vector has a bad dimensionality.");
}
xVec=(double*)mxGetData(prhs[0]);
TT1=getDoubleFromMatlab(prhs[1]);
TT2=getDoubleFromMatlab(prhs[2]);
//If some values from the function getEOP will be needed
if(nrhs<6||mxIsEmpty(prhs[3])||mxIsEmpty(prhs[4])||mxIsEmpty(prhs[5])) {
mxArray *retVals[5];
double *xpyp;
mxArray *JulUTCMATLAB[2];
double JulUTC[2];
int retVal;
//Get the time in UTC to look up the parameters by going to TAI and
//then UTC.
retVal=iauTttai(TT1, TT2, &JulUTC[0], &JulUTC[1]);
if(retVal!=0) {
mexErrMsgTxt("An error occurred computing TAI.");
}
retVal=iauTaiutc(JulUTC[0], JulUTC[1], &JulUTC[0], &JulUTC[1]);
switch(retVal){
case 1:
mexWarnMsgTxt("Dubious Date entered.");
break;
case -1:
mexErrMsgTxt("Unacceptable date entered");
break;
default:
break;
}
JulUTCMATLAB[0]=doubleMat2Matlab(&JulUTC[0],1,1);
JulUTCMATLAB[1]=doubleMat2Matlab(&JulUTC[1],1,1);
//Get the Earth orientation parameters for the given date.
mexCallMATLAB(5,retVals,2,JulUTCMATLAB,"getEOP");
mxDestroyArray(JulUTCMATLAB[0]);
mxDestroyArray(JulUTCMATLAB[1]);
checkRealDoubleArray(retVals[0]);
checkRealDoubleArray(retVals[1]);
if(mxGetM(retVals[0])!=2||mxGetN(retVals[0])!=1||mxGetM(retVals[1])!=2||mxGetN(retVals[1])!=1) {
mxDestroyArray(retVals[0]);
mxDestroyArray(retVals[1]);
mxDestroyArray(retVals[2]);
mxDestroyArray(retVals[3]);
mxDestroyArray(retVals[4]);
mexErrMsgTxt("Error using the getEOP function.");
return;
}
xpyp=(double*)mxGetData(retVals[0]);
xp=xpyp[0];
yp=xpyp[1];
//The celestial pole offsets are not used.
//This is TT-UT1
deltaT=getDoubleFromMatlab(retVals[3]);
LOD=getDoubleFromMatlab(retVals[4]);
//Free the returned arrays.
mxDestroyArray(retVals[0]);
mxDestroyArray(retVals[1]);
mxDestroyArray(retVals[2]);
mxDestroyArray(retVals[3]);
mxDestroyArray(retVals[4]);
}
//If deltaT=TT-UT1 is given
if(nrhs>3&&!mxIsEmpty(prhs[3])) {
deltaT=getDoubleFromMatlab(prhs[3]);
}
//Obtain UT1 from terestrial time and deltaT.
iauTtut1(TT1, TT2, deltaT, &UT11, &UT12);
//Get polar motion values, if given.
if(nrhs>4&&!mxIsEmpty(prhs[4])) {
size_t dim1, dim2;
checkRealDoubleArray(prhs[4]);
dim1 = mxGetM(prhs[4]);
dim2 = mxGetN(prhs[4]);
if((dim1==2&&dim2==1)||(dim1==1&&dim2==2)) {
double *xpyp=(double*)mxGetData(prhs[4]);
xp=xpyp[0];
yp=xpyp[1];
} else {
mexErrMsgTxt("The celestial pole offsets have the wrong dimensionality.");
return;
}
}
//If LOD is given
if(nrhs>5&&!mxIsEmpty(prhs[5])) {
LOD=getDoubleFromMatlab(prhs[5]);
}
{
double GMST1982=iauGmst82(UT11, UT12);
double TEME2PEF[3][3];
double TEME2ITRS[3][3];
double W[3][3];
double omega;
//Get Greenwhich mean sidereal time under the IAU's 1982 model. This
//is given in radians and will be used to build a rotation matrix to
//rotate into the PEF system.
GMST1982=iauGmst82(UT11, UT12);
{
double cosGMST,sinGMST;
cosGMST=cos(GMST1982);
sinGMST=sin(GMST1982);
//Build the rotation matrix to rotate by GMST about the z-axis. This
//will put the position vector in the PEF system.
TEME2PEF[0][0]=cosGMST;
TEME2PEF[0][1]=sinGMST;
TEME2PEF[0][2]=0;
TEME2PEF[1][0]=-sinGMST;
TEME2PEF[1][1]=cosGMST;
TEME2PEF[1][2]=0;
TEME2PEF[2][0]=0;
TEME2PEF[2][1]=0;
TEME2PEF[2][2]=1.0;
}
//The inverse rotation is just the transpose
iauTr(TEME2PEF, PEF2TEME);
//To go from PEF to ITRS, we need to build the polar motion matrix
//using the IAU's 1980 conventions.
{
double cosXp,sinXp,cosYp,sinYp;
cosXp=cos(xp);
sinXp=sin(xp);
cosYp=cos(yp);
sinYp=sin(yp);
W[0][0]=cosXp;
W[0][1]=sinXp*sinYp;
W[0][2]=sinXp*cosYp;
W[1][0]=0;
W[1][1]=cosYp;
W[1][2]=-sinYp;
W[2][0]=-sinXp;
W[2][1]=cosXp*sinXp;
W[2][2]=cosXp*cosYp;
}
//The inverse rotation is just the transpose
iauTr(W, WInv);
//The total rotation matrix is thus the product of the two rotations.
//TEME2ITRS=W*TEME2PEF;
iauRxr(W, TEME2PEF, TEME2ITRS);
//We want the inverse rotation
iauTr(TEME2ITRS, ITRS2TEME);
//The angular velocity vector of the Earth in the TIRS in radians.
omega=getScalarMatlabClassConst("Constants","IERSMeanEarthRotationRate");
//Adjust for LOD
omega=omega*(1-LOD/86400.0);//86400.0 is the number of seconds in a TT day.
Omega[0]=0;
Omega[1]=0;
Omega[2]=omega;
}
//Allocate space for the return vectors.
retMat=mxCreateDoubleMatrix(numRow,numVec,mxREAL);
retData=(double*)mxGetData(retMat);
{
size_t curVec;
for(curVec=0;curVec<numVec;curVec++) {
//Multiply the position vector with the rotation matrix.
iauRxp(ITRS2TEME, xVec+numRow*curVec, retData+numRow*curVec);
//If a velocity vector was given.
if(numRow>3) {
double *posITRS=xVec+numRow*curVec;
double *velITRS=xVec+numRow*curVec+3;//Velocity in TEME
double posPEF[3];
double velPEF[3];
double *retDataVel=retData+numRow*curVec+3;
double rotVel[3];
//If a velocity was provided with the position, first
//convert to PEF coordinates, then account for the rotation
//of the Earth, then rotate into TEME coordinates.
//Convert velocity from ITRS to PEF.
iauRxp(WInv, velITRS, velPEF);
//Convert position from ITRS to PEF
iauRxp(WInv, posITRS, posPEF);
//Evaluate the cross product for the angular velocity due
//to the Earth's rotation.
iauPxp(Omega, posPEF, rotVel);
//Add the instantaneous velocity due to rotation.
iauPpp(velPEF, rotVel, retDataVel);
//Rotate from the PEF into the TEME
iauRxp(PEF2TEME, retDataVel, retDataVel);
}
}
}
plhs[0]=retMat;
if(nlhs>1) {
double *elPtr;
size_t i,j;
plhs[1]=mxCreateDoubleMatrix(3,3,mxREAL);
elPtr=(double*)mxGetData(plhs[1]);
for (i=0;i<3;i++) {
for(j=0;j<3;j++) {
elPtr[i+3*j]=ITRS2TEME[i][j];
}
}
}
}
void mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[]) {
size_t i, numRows,numCols, numEls;
double minBound, maxBound, *vals, *wrapVals;
mxArray *retMat;
bool mirrorWrap=false;
if(nrhs<3){
mexErrMsgTxt("Not enough inputs.");
return;
}
if(nrhs>4) {
mexErrMsgTxt("Too many inputs.");
return;
}
if(nlhs>1) {
mexErrMsgTxt("Too many outputs.");
return;
}
checkRealDoubleArray(prhs[0]);
numRows=mxGetM(prhs[0]);
numCols=mxGetN(prhs[0]);
numEls=numRows*numCols;
//If given an empty matrix, return an empty matrix.
if(numEls==0) {
plhs[0]=mxCreateDoubleMatrix(0,0,mxREAL);
return;
}
vals=(double*)mxGetData(prhs[0]);
minBound=getDoubleFromMatlab(prhs[1]);
maxBound=getDoubleFromMatlab(prhs[2]);
if(maxBound<=minBound) {
mexErrMsgTxt("the maximum bound must be less than the minimum bound.");
}
if(nrhs>3) {
mirrorWrap=getBoolFromMatlab(prhs[3]);
}
//Allocate space for the return values.
retMat=mxCreateDoubleMatrix(numRows,numCols,mxREAL);
wrapVals=(double*)mxGetData(retMat);
if(mirrorWrap) {
for(i=0;i<numEls;i++) {
wrapVals[i]=wrapRangeMirrorCPP(vals[i],minBound,maxBound);
}
} else {
for(i=0;i<numEls;i++) {
wrapVals[i]=wrapRangeCPP(vals[i],minBound,maxBound);
}
}
plhs[0]=retMat;
}
void mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[]) {
double *points,a,b,b2,f,e2,eps2,ec;
size_t numVec,i;
mxArray *retMat;
double *retData;
if(nrhs>3||nrhs<1){
mexErrMsgTxt("Wrong number of inputs");
}
if(nlhs>1) {
mexErrMsgTxt("Wrong number of outputs.");
return;
}
checkRealDoubleArray(prhs[0]);
numVec = mxGetN(prhs[0]);
if(mxGetM(prhs[0])!=3) {
mexErrMsgTxt("The input vector has a bad dimensionality.");
}
points=(double*)mxGetData(prhs[0]);
//points[0] is x
//points[1] is y
//points[2] is z
if(nrhs>1) {
a=getDoubleFromMatlab(prhs[1]);
} else {
a=getScalarMatlabClassConst("Constants", "WGS84SemiMajorAxis");
}
if(nrhs>2) {
f=getDoubleFromMatlab(prhs[2]);
} else {
f=getScalarMatlabClassConst("Constants", "WGS84Flattening");
}
b=a*(1-f);//The semi-minor axis of the reference ellipsoid.
b2=b*b;
//The square of the first numerical eccentricity.
e2=2*f-f*f;
//The square of the second numerical eccentricity.
eps2=a*a/(b2)-1;
//This value is used if Fukushima's method is chosen.
ec=sqrt(1-e2);
//Allocate space for the return variables.
retMat=mxCreateDoubleMatrix(3,numVec,mxREAL);
retData=(double*)mxGetData(retMat);
for(i=0;i<numVec;i++) {
double *phi, *lambda, *h;
double x0,y0,z0;
double r0,p,s,q;
//Get the Cartesian point to convert.
x0=points[3*i];
y0=points[3*i+1];
z0=points[3*i+2];
//Get the addresses of where the converted components will go
phi=retData+3*i;
lambda=retData+3*i+1;
h=retData+3*i+2;
r0=sqrt(x0*x0+y0*y0);
p=fabs(z0)/eps2;
s=r0*r0/(e2*eps2);
q=p*p-b2+s;
*lambda=atan2(y0,x0);
if(q>=0) {//Use Sofair's algorithm
double u,v,P,Q,t,c,w,z,Ne,val;
u=p/sqrt(q);
v=b2*u*u/q;
P=27.0*v*s/q;
Q=pow(sqrt(P+1.0)+sqrt(P),2.0/3.0);
t=(1.0+Q+1/Q)/6.0;
c=u*u-1+2*t;
//This condition prevents finite precision problems due to
//subtraction within the square root.
c=fMax(c,0);
c=sqrt(c);
w=(c-u)/2.0;
//The z coordinate of the closest point projected on the ellipsoid.
//The fmax command deals with precision problems when the argument
//is nearly zero. The problems arise due to the subtraction within
//the square root.
z=sqrt(t*t+v)-u*w-t/2.0-1.0/4.0;
z=fMax(z,0);
z=copySign(sqrt(q)*(w+sqrt(z)),z0);
Ne=a*sqrt(1+eps2*z*z/b2);
//The min and max terms deals with finite precision problems.
val=fMin(z*(eps2+1)/Ne,1);
val=fMax(val,-1.0);
*phi=asin(val);
*h=r0*cos(*phi)+z0*sin(*phi)-a*a/Ne;
} else {//Use Fukushima's algorithm.
double Cc,P,Z,S,C;
//A gets a value within the loop. This initialization is just
//to silence a warning when compiling with
//-Wconditional-uninitialized
double A=0;
size_t curIter;
const size_t maxIter=6;
P=r0/a;
Z=(ec/a)*fabs(z0);
S=Z;
C=ec*P;
//Loop until convergence. Assume convergence in 6 iterations.
for(curIter=0;curIter<maxIter;curIter++) {
double B,F,D,SNew,CNew;
A=sqrt(S*S+C*C);
B=1.5*e2*S*C*C*((P*S-Z*C)*A-e2*S*C);
F=P*A*A*A-e2*C*C*C;
D=Z*A*A*A+e2*S*S*S;
SNew=D*F-B*S;
CNew=F*F-B*C;
SNew=SNew/CNew;
if(!isFinite(SNew)) {
S=SNew;
C=1;
A=sqrt(S*S+C*C);
break;
} else {
S=SNew;
C=1;
}
}
Cc=ec*C;
//If the point is along the z-axis, then SNew and CNew will
//both be zero, leading to a non-finite result.
if(!isFinite(S)) {
*phi=copySign(pi/2,z0);
*h=fabs(z0)-b;
} else {
*phi=copySign(atan(S/Cc),z0);
*h=(r0*Cc+fabs(z0)*S-b*A)/sqrt(Cc*Cc+S*S);
}
}
}
plhs[0]=retMat;
}
void mexFunction(const int nlhs, mxArray *plhs[], const int nrhs, const mxArray *prhs[]) {
double a,c,scalFactor;
double *point;
ClusterSetCPP<double> CStdDev;
ClusterSetCPP<double> SStdDev;
size_t numPoints;
size_t i, M, totalNumEls;
mxArray *sigma2MATLAB;
//This variable is only used if nlhs>1. It is set to zero here to
//suppress a warning if compiled using -Wconditional-uninitialized.
mxArray *SigmaMATLAB=NULL;
double *sigma2,*Sigma;
bool didOverflow;
size_t *theOffsetArray, *theClusterSizes;
if(nrhs!=6) {
mexErrMsgTxt("Wrong number of inputs.");
}
if(nlhs>3) {
mexErrMsgTxt("Invalid number of outputs.");
}
//Check the validity of the ClusterSets
checkRealDoubleArray(prhs[0]);
checkRealDoubleArray(prhs[1]);
//Make sure that both of the coefficient sets have the same number of
//elements and are not empty.
if(mxIsEmpty(prhs[0])||mxIsEmpty(prhs[1])||mxGetM(prhs[0])!=mxGetM(prhs[1])||mxGetN(prhs[0])!=mxGetN(prhs[1])) {
mexErrMsgTxt("Invalid ClusterSet data passed.");
}
CStdDev.clusterEls=reinterpret_cast<double*>(mxGetData(prhs[0]));
SStdDev.clusterEls=reinterpret_cast<double*>(mxGetData(prhs[1]));
//The number of elements in the ClusterSets
totalNumEls=mxGetM(prhs[0])*mxGetN(prhs[0]);
//We do not want to trust that the offset arrays and the cluster arrays
//are valid. Also, the data types of the passed values can vary (e.g.,
//might be doubles). Thus, we this function does not take the offset
//and number of clusters data from a ClusterSet class. Rather, it
//recreates the values based on the length of the data. This avoids
//possibly reading past the end of an array.
//Since the total number of points in a ClusterSet
//is (M+1)*(M+2)/2, where M is the number of clusters -1, we can easily
//verify that a valid number of points was passed.
//Some versions of Windows SDK have problems with passing an integer
//type to the sqrt function, so this explicit typecasting should take
//care of the problem.
M=(-3+static_cast<size_t>(sqrt(static_cast<double>(1+8*totalNumEls))))/2;
if((M+1)*(M+2)/2!=totalNumEls) {
mexErrMsgTxt("The ClusterSets contain an inconsistent number of elements.");
}
//Otherwise, fill in the values for the cluster sizes and the ofset
//array.
CStdDev.numClust=M+1;
SStdDev.numClust=M+1;
theOffsetArray=new size_t[M+1];
theClusterSizes=new size_t[M+1];
theClusterSizes[0]=1;
theOffsetArray[0]=0;
for(i=1;i<=M;i++) {
theOffsetArray[i]=theOffsetArray[i-1]+theClusterSizes[i-1];
theClusterSizes[i]=i+1;
}
CStdDev.totalNumEl=totalNumEls;
SStdDev.totalNumEl=totalNumEls;
CStdDev.offsetArray=theOffsetArray;
SStdDev.offsetArray=theOffsetArray;
CStdDev.clusterSizes=theClusterSizes;
SStdDev.clusterSizes=theClusterSizes;
//Get the other parameters.
checkRealDoubleArray(prhs[2]);
point=reinterpret_cast<double*>(mxGetData(prhs[2]));
numPoints=mxGetN(prhs[2]);
a=getDoubleFromMatlab(prhs[3]);
c=getDoubleFromMatlab(prhs[4]);
scalFactor=getDoubleFromMatlab(prhs[5]);
//Allocate space for the return values
sigma2MATLAB=mxCreateDoubleMatrix(numPoints, 1,mxREAL);
sigma2=reinterpret_cast<double*>(mxGetData(sigma2MATLAB));
if(nlhs>1) {
mwSize dims[3];
//A 3X3X numPoints array is needed for the covariance matrices.
dims[0]=3;
dims[1]=3;
dims[2]=numPoints;
SigmaMATLAB=mxCreateNumericArray(3,dims,mxDOUBLE_CLASS,mxREAL);
Sigma=reinterpret_cast<double*>(mxGetData(SigmaMATLAB));
} else {
Sigma=NULL;
}
didOverflow=spherHarmonicCovCPP(sigma2,Sigma,CStdDev,SStdDev,point,numPoints,a,c,scalFactor);
//Free the allocated space for the offet array and cluster sizes
delete[] theOffsetArray;
delete[] theClusterSizes;
plhs[0]=sigma2MATLAB;
if(nlhs>1) {
plhs[1]=SigmaMATLAB;
if(nlhs>2) {
plhs[2]=boolMat2Matlab(&didOverflow,1,1);
}
}
}
void mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[]) {
double TT1, TT2, dX, dY, *xVec;
size_t numRow, numVec;
mxArray *retMat;
double *retData;
double GCRS2CIRS[3][3];
if(nrhs<3||nrhs>4){
mexErrMsgTxt("Wrong number of inputs");
}
if(nlhs>2) {
mexErrMsgTxt("Wrong number of outputs.");
}
checkRealDoubleArray(prhs[0]);
numRow = mxGetM(prhs[0]);
numVec = mxGetN(prhs[0]);
if(!(numRow==3||numRow==6)) {
mexErrMsgTxt("The input vector has a bad dimensionality.");
}
xVec=(double*)mxGetData(prhs[0]);
TT1=getDoubleFromMatlab(prhs[1]);
TT2=getDoubleFromMatlab(prhs[2]);
//If some values from the function getEOP will be needed.
if(nrhs<4||mxGetM(prhs[3])==0) {
mxArray *retVals[2];
double *dXdY;
mxArray *JulUTCMATLAB[2];
double JulUTC[2];
int retVal;
//Get the time in UTC to look up the parameters by going to TAI and
//then UTC.
retVal=iauTttai(TT1, TT2, &JulUTC[0], &JulUTC[1]);
if(retVal!=0) {
mexErrMsgTxt("An error occurred computing TAI.");
}
retVal=iauTaiutc(JulUTC[0], JulUTC[1], &JulUTC[0], &JulUTC[1]);
switch(retVal){
case 1:
mexWarnMsgTxt("Dubious Date entered.");
break;
case -1:
mexErrMsgTxt("Unacceptable date entered");
break;
default:
break;
}
JulUTCMATLAB[0]=doubleMat2Matlab(&JulUTC[0],1,1);
JulUTCMATLAB[1]=doubleMat2Matlab(&JulUTC[1],1,1);
//Get the Earth orientation parameters for the given date.
mexCallMATLAB(2,retVals,2,JulUTCMATLAB,"getEOP");
mxDestroyArray(JulUTCMATLAB[0]);
mxDestroyArray(JulUTCMATLAB[1]);
//%We do not need the polar motion coordinates.
mxDestroyArray(retVals[0]);
checkRealDoubleArray(retVals[1]);
if(mxGetM(retVals[1])!=2||mxGetN(retVals[1])!=1) {
mxDestroyArray(retVals[1]);
mexErrMsgTxt("Error using the getEOP function.");
return;
}
dXdY=(double*)mxGetData(retVals[1]);
dX=dXdY[0];
dY=dXdY[1];
//Free the returned arrays.
mxDestroyArray(retVals[1]);
} else {//Get the celestial pole offsets
size_t dim1, dim2;
checkRealDoubleArray(prhs[4]);
dim1 = mxGetM(prhs[4]);
dim2 = mxGetN(prhs[4]);
if((dim1==2&&dim2==1)||(dim1==1&&dim2==2)) {
double *dXdY=(double*)mxGetData(prhs[4]);
dX=dXdY[0];
dY=dXdY[1];
} else {
mexErrMsgTxt("The celestial pole offsets have the wrong dimensionality.");
return;
}
}
{
double x, y, s;
double omega;
//Get the X,Y coordinates of the Celestial Intermediate Pole (CIP) and
//the Celestial Intermediate Origin (CIO) locator s, using the IAU 2006
//precession and IAU 2000A nutation models.
iauXys06a(TT1, TT2, &x, &y, &s);
//Add the CIP offsets.
x += dX;
y += dY;
//Get the GCRS-to-CIRS matrix
iauC2ixys(x, y, s, GCRS2CIRS);
}
//Allocate space for the return vectors.
retMat=mxCreateDoubleMatrix(numRow,numVec,mxREAL);
retData=(double*)mxGetData(retMat);
{
size_t curVec;
for(curVec=0;curVec<numVec;curVec++) {
//Multiply the position vector with the rotation matrix.
iauRxp(GCRS2CIRS, xVec+numRow*curVec, retData+numRow*curVec);
//If a velocity vector was given.
if(numRow>3) {
double *velGCRS=xVec+numRow*curVec+3;//Velocity in GCRS
double *retDataVel=retData+numRow*curVec+3;
//Convert velocity from GCRS to CIRS.
iauRxp(GCRS2CIRS, velGCRS, retDataVel);
}
}
}
plhs[0]=retMat;
//If the rotation matrix is desired on the output.
if(nlhs>1) {
double *elPtr;
size_t i,j;
plhs[1]=mxCreateDoubleMatrix(3,3,mxREAL);
elPtr=(double*)mxGetData(plhs[1]);
for (i=0;i<3;i++) {
for(j=0;j<3;j++) {
elPtr[i+3*j]=GCRS2CIRS[i][j];
}
}
}
}
void mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[]) {
double TT1, TT2, UT11,UT12, deltaT,GMST;
int algToUse=2006;
int retVal;
if(nrhs<2||nrhs>4){
mexErrMsgTxt("Wrong number of inputs.");
return;
}
if(nlhs>1){
mexErrMsgTxt("Wrong number of outputs.");
return;
}
TT1=getDoubleFromMatlab(prhs[0]);
TT2=getDoubleFromMatlab(prhs[1]);
if(nrhs>2) {
algToUse=getIntFromMatlab(prhs[2]);
}
if(nrhs>3) {
deltaT=getDoubleFromMatlab(prhs[3]);
} else {
mxArray *retVals[4];
mxArray *JulUTCMATLAB[2];
double JulUTC[2];
//Get the time in UTC to look up the parameters by going to TAI and
//then UTC.
retVal=iauTttai(TT1, TT2, &JulUTC[0], &JulUTC[1]);
if(retVal!=0) {
mexErrMsgTxt("An error occurred computing TAI.");
}
retVal=iauTaiutc(JulUTC[0], JulUTC[1], &JulUTC[0], &JulUTC[1]);
switch(retVal){
case 1:
mexWarnMsgTxt("Dubious Date entered.");
break;
case -1:
mexErrMsgTxt("Unacceptable date entered");
break;
default:
break;
}
JulUTCMATLAB[0]=doubleMat2Matlab(&JulUTC[0],1,1);
JulUTCMATLAB[1]=doubleMat2Matlab(&JulUTC[1],1,1);
//Get the Earth orientation parameters for the given date.
mexCallMATLAB(4,retVals,2,JulUTCMATLAB,"getEOP");
//This is TT-UT1
deltaT=getDoubleFromMatlab(retVals[3]);
//Free the returned arrays.
mxDestroyArray(retVals[0]);
mxDestroyArray(retVals[1]);
mxDestroyArray(retVals[2]);
mxDestroyArray(retVals[3]);
mxDestroyArray(JulUTCMATLAB[0]);
mxDestroyArray(JulUTCMATLAB[1]);
}
//Get UT1
retVal=iauTtut1(TT1, TT2, deltaT, &UT11, &UT12);
if(retVal!=0) {
mexErrMsgTxt("An error occurred computing UT1.");
}
//Get Greenwhich mean sidereal time in radians using the chosen
//algorithm
switch(algToUse) {
case 1982:
GMST=iauGmst82(UT11, UT12);
break;
case 2000:
GMST=iauGmst00(UT11, UT12, TT1, TT2);
break;
case 2006:
GMST=iauGmst06(UT11, UT12, TT1, TT2);
break;
default:
mexErrMsgTxt("An invalid algorithm version was given.");
}
plhs[0]=doubleMat2Matlab(&GMST,1, 1);
}