source: sans/XOP_Dev/MonteCarlo/MonteCarlo.c @ 552

/*
 *  MonteCarlo.c
 *  SANSAnalysis
 *
 *  Created by Steve Kline on 10/16/08.
 *  Copyright 2008 __MyCompanyName__. All rights reserved.
 *
 */


#include "XOPStandardHeaders.h"                 // Include ANSI headers, Mac headers, IgorXOP.h, XOP.h and XOPSupport.h
#include "MonteCarlo.h"

static int gCallSpinProcess = 1;                // Set to 1 to all user abort (cmd dot) and background processing.

//////////
//    PROGRAM Monte_SANS
//    PROGRAM simulates multiple SANS.
//       revised 2/12/99  JGB
//            added calculation of random deviate, and 2D 10/2008 SRK

//    N1 = NUMBER OF INCIDENT NEUTRONS.
//    N2 = NUMBER INTERACTED IN THE SAMPLE.
//    N3 = NUMBER ABSORBED.
//    THETA = SCATTERING ANGLE.

// works fine in the single-threaded case.
//
/// currently crashes if threaded. apparently something here is either doing an unknown callback, or is accessing
// a bad place in memory. 
//
// the operations SpinProcess() and WaveHandleModified() are callbacks and MUST be commented out before threading.
// - some locks are non-existent
// - supposedly safe wave access routines are used
//
// random number generators are not thread-safe, and can give less than random results, but is this enough to crash?
// -- a possible workaround is to define multiple versions (poor man's threading)
//
//
//


int
Monte_SANSX(MC_ParamsPtr p) {
        double *inputWave;                              /* pointer to double precision wave data */
        double *ran_dev;                                /* pointer to double precision wave data */
        double *nt;                             /* pointer to double precision wave data */
        double *j1;                             /* pointer to double precision wave data */
        double *j2;                             /* pointer to double precision wave data */
        double *nn;                             /* pointer to double precision wave data */
//      double *MC_linear_data;                         /* pointer to double precision wave data */
        double *results;                                /* pointer to double precision wave data */
        double result;                          //return value

        long imon;
        double r1,r2,xCtr,yCtr,sdd,pixSize,thick,wavelength,sig_incoh,sig_sas;
        long ind,index,n_index;
        double qmax,theta_max,q0,zpow;
        long n1,n2,n3;
        double dth,zz,xx,yy,phi;
        double theta,ran,ll,rr,ttot;
        long done,find_theta,err;               //used as logicals
        long xPixel,yPixel;
        double vx,vy,vz,theta_z;
        double sig_abs,ratio,sig_total;
        double testQ,testPhi,left,delta,dummy,pi;
        double sigabs_0,num_bins;
        long NSingleIncoherent,NSingleCoherent,NScatterEvents,incoherentEvent,coherentEvent;
        long NDoubleCoherent,NMultipleScatter,isOn,xCtr_long,yCtr_long;
        long NMultipleCoherent,NCoherentEvents;

        // for accessing the 2D wave data, direct method (see the WaveAccess example XOP)
        waveHndl wavH;
        int waveType,hState;
        long numDimensions;
        long dimensionSizes[MAX_DIMENSIONS+1];
        char* dataStartPtr;
        long dataOffset;
        long numRows, numColumns,numRows_ran_dev;
        double *dp0, *dp, value[2];                             // Pointers used for double data.
        long seed;
        long indices[MAX_DIMENSIONS];
        
        char buf[256];
                
        /* check that wave handles are all valid */
        if (p->inputWaveH == NIL) {
                SetNaN64(&p->result);                                   /* return NaN if wave is not valid */
                return(NON_EXISTENT_WAVE);
        }
        if (p->ran_devH == NIL) {
                SetNaN64(&p->result);                                   /* return NaN if wave is not valid */
                return(NON_EXISTENT_WAVE);
        }       
        if (p->ntH == NIL) {
                SetNaN64(&p->result);                                   /* return NaN if wave is not valid */
                return(NON_EXISTENT_WAVE);
        }
        if (p->j1H == NIL) {
                SetNaN64(&p->result);                                   /* return NaN if wave is not valid */
                return(NON_EXISTENT_WAVE);
        }
        if (p->j2H == NIL) {
                SetNaN64(&p->result);                                   /* return NaN if wave is not valid */
                return(NON_EXISTENT_WAVE);
        }
        if (p->nnH == NIL) {
                SetNaN64(&p->result);                                   /* return NaN if wave is not valid */
                return(NON_EXISTENT_WAVE);
        }
        if (p->MC_linear_dataH == NIL) {
                SetNaN64(&p->result);                                   /* return NaN if wave is not valid */
                return(NON_EXISTENT_WAVE);
        }
        if (p->resultsH == NIL) {
                SetNaN64(&p->result);                                   /* return NaN if wave is not valid */
                return(NON_EXISTENT_WAVE);
        }
        
        p->result = 0;
        
// trusting that all inputs are DOUBLE PRECISION WAVES!!!
        inputWave = WaveData(p->inputWaveH);
        ran_dev = WaveData(p->ran_devH);
        nt = WaveData(p->ntH);
        j1 = WaveData(p->j1H);
        j2 = WaveData(p->j2H);
        nn = WaveData(p->nnH);
//      MC_linear_data = WaveData(p->MC_linear_dataH);
        results = WaveData(p->resultsH);
        
        seed = (long)results[0];
        
//      sprintf(buf, "input seed = %ld\r", seed);
//      XOPNotice(buf);
        
        if(seed >= 0) {
                seed = -1234509876;
        }

        dummy = ran3(&seed);            //initialize the random sequence by passing in a negative value
        seed = 12348765;                //non-negative after that does nothing

        imon = (int)inputWave[0];
        r1 = inputWave[1];
        r2 = inputWave[2];
        xCtr = inputWave[3];
        yCtr = inputWave[4];
        sdd = inputWave[5];
        pixSize = inputWave[6];
        thick = inputWave[7];
        wavelength = inputWave[8];
        sig_incoh = inputWave[9];
        sig_sas = inputWave[10];
        xCtr_long = round(xCtr);
        yCtr_long = round(yCtr);
        
        dummy = MDGetWaveScaling(p->ran_devH, 0, &delta, &left);                //0 is the rows
        if (result = MDGetWaveDimensions(p->ran_devH, &numDimensions, dimensionSizes))
                return result;
        numRows_ran_dev = dimensionSizes[0];
        
        pi = 4.0*atan(1.0);     
        
        // access the 2D wave data for writing using the direct method
        wavH = p->MC_linear_dataH;
        if (wavH == NIL)
                return NOWAV;

//      waveType = WaveType(wavH);
//      if (waveType & NT_CMPLX)
//              return NO_COMPLEX_WAVE;
//      if (waveType==TEXT_WAVE_TYPE)
//              return NUMERIC_ACCESS_ON_TEXT_WAVE;
//      if (result = MDGetWaveDimensions(wavH, &numDimensions, dimensionSizes))
//              return result;
//      numRows = dimensionSizes[0];
//      numColumns = dimensionSizes[1];
        
//      if (result = MDAccessNumericWaveData(wavH, kMDWaveAccessMode0, &dataOffset))
//              return result;
                
//      hState = MoveLockHandle(wavH);          // So wave data can't move. Remember to call HSetState when done.
//      dataStartPtr = (char*)(*wavH) + dataOffset;
//      dp0 = (double*)dataStartPtr;                    // Pointer to the start of the 2D wave data.
        
//scattering power and maximum qvalue to bin
//      zpow = .1               //scattering power, calculated below
        qmax = 4.0*pi/wavelength;       //maximum Q to bin 1D data. (A-1) (not really used)
        sigabs_0 = 0.0;         // ignore absorption cross section/wavelength [1/(cm A)]
        n_index = 50;   // maximum number of scattering events per neutron
        num_bins = 200;         //number of 1-D bins (not really used)
        
//c       total SAS cross-section
//
        zpow = sig_sas*thick;                   //since I now calculate the sig_sas from the model
        sig_abs = sigabs_0 * wavelength;
        sig_total = sig_abs + sig_sas + sig_incoh;
//      Print "The TOTAL XSECTION. (CM-1) is ",sig_total
//      Print "The TOTAL SAS XSECTION. (CM-1) is ",sig_sas
//      results[0] = sig_total;
//      results[1] = sig_sas;
//      RATIO = SIG_ABS / SIG_TOTAL
        ratio = sig_incoh / sig_total;
        
        theta_max = wavelength*qmax/(2*pi);
//C     SET Theta-STEP SIZE.
        dth = theta_max/num_bins;
//      Print "theta bin size = dth = ",dth

//C     INITIALIZE COUNTERS.
        n1 = 0;
        n2 = 0;
        n3 = 0;
        NSingleIncoherent = 0;
        NSingleCoherent = 0;
        NDoubleCoherent = 0;
        NMultipleScatter = 0;
        NScatterEvents = 0;
        NMultipleCoherent = 0;
        NCoherentEvents = 0;

        isOn = 0;
        
//C     MONITOR LOOP - looping over the number of incedent neutrons
//note that zz, is the z-position in the sample - NOT the scattering power
// NOW, start the loop, throwing neutrons at the sample.
        do {
                ////SpinProcess() IS A CALLBACK, and not good for Threading!
//              if ((n1 % 1000 == 0) && gCallSpinProcess && SpinProcess()) {            // Spins cursor and allows background processing.
//                              result = -1;                                                            // User aborted.
//                              break;
//              }
        
                vx = 0.0;                       // Initialize direction vector.
                vy = 0.0;
                vz = 1.0;
                
                theta = 0.0;            //      Initialize scattering angle.
                phi = 0.0;                      //      Intialize azimuthal angle.
                n1 += 1;                        //      Increment total number neutrons counter.
                done = 0;                       //      True when neutron is absorbed or when  scattered out of the sample.
                index = 0;                      //      Set counter for number of scattering events.
                zz = 0.0;                       //      Set entering dimension of sample.
                incoherentEvent = 0;
                coherentEvent = 0;
                
                do      {                               //      Makes sure position is within circle.
                        ran = ran3(&seed);              //[0,1]
                        xx = 2.0*r1*(ran-0.5);          //X beam position of neutron entering sample.
                        ran = ran3(&seed);              //[0,1]
                        yy = 2.0*r1*(ran-0.5);          //Y beam position ...
                        rr = sqrt(xx*xx+yy*yy);         //Radial position of neutron in incident beam.
                } while(rr>r1);

                do {   //Scattering Loop, will exit when "done" == 1
                                // keep scattering multiple times until the neutron exits the sample
                        ran = ran3(&seed);              //[0,1]  RANDOM NUMBER FOR DETERMINING PATH LENGTH
                        ll = path_len(ran,sig_total);
                        //Determine new scattering direction vector.
                        err = NewDirection(&vx,&vy,&vz,theta,phi);              //vx,vy,vz updated, theta, phi unchanged by function
                                                                        
                        //X,Y,Z-POSITION OF SCATTERING EVENT.
                        xx += ll*vx;
                        yy += ll*vy;
                        zz += ll*vz;
                        rr = sqrt(xx*xx+yy*yy);         //radial position of scattering event.

                        //sprintf(buf, "xx,yy,zz,vx,vy,vz,ll = %g %g %g %g %g %g %g\r",xx,yy,zz,vx,vy,vz,ll);
                        //XOPNotice(buf);
                                                
                        //Check whether interaction occurred within sample volume.
                        if (((zz > 0.0) && (zz < thick)) && (rr < r2)) {
                                //NEUTRON INTERACTED.
                                //sprintf(buf,"neutron interacted\r");
                                //XOPNotice(buf);
                                
                                index += 1;                     //Increment counter of scattering events.
                                if (index == 1) {
                                        n2 += 1;                //Increment # of scat. neutrons
                                }
                                ran = ran3(&seed);              //[0,1]
                                //Split neutron interactions into scattering and absorption events
                                if (ran > ratio ) {             //C             NEUTRON SCATTERED coherently
                                        //sprintf(buf,"neutron scatters coherently\r");
                                        //XOPNotice(buf);
                                        coherentEvent += 1;
                                        find_theta = 0;                 //false
                                        do {
                                                // pick a q-value from the deviate function
                                                // pnt2x truncates the point to an integer before returning the x
                                                // so get it from the wave scaling instead
//                                              q0 =left + binarysearchinterp(ran_dev,ran1(seed))*delta;
                                                
                                                q0 =left + locate_interp(ran_dev,numRows_ran_dev,ran3(&seed))*delta;
                                                theta = q0/2/pi*wavelength;             //SAS approximation. 1% error at theta=30 degrees
                                                
                                                find_theta = 1;         //always accept

                                                //sprintf(buf, "after locate_interp call q0 = %g, theta = %g,left = %g,delta = %g\r",q0,theta,left,delta);
                                                //XOPNotice(buf);

                                        } while(!find_theta);
                                        
                                        ran = ran3(&seed);              //[0,1]
                                        phi = 2.0*pi*ran;                       //Chooses azimuthal scattering angle.
                                } else {
                                        //NEUTRON scattered incoherently
                                        //sprintf(buf,"neutron scatters incoherent\r");
                                        //XOPNotice(buf);
                                        incoherentEvent += 1;
                                  // phi and theta are random over the entire sphere of scattering
                                        // !can't just choose random theta and phi, won't be random over sphere solid angle

                                        ran = ran3(&seed);              //[0,1]
                                        theta = acos(2.0*ran-1);
                        
                                        ran = ran3(&seed);              //[0,1]
                                        phi = 2.0*pi*ran;                       //Chooses azimuthal scattering angle.
                                }               //(ran > ratio)
                        } else {
                                //NEUTRON ESCAPES FROM SAMPLE -- bin it somewhere                                                               
                                done = 1;               //done = true, will exit from loop
                                //Increment #scattering events array
                                MemClear(indices, sizeof(indices)); // Must be 0 for unused dimensions.
                                indices[0] =index;                      //this sets access to nn[index]
                                if (index <= n_index) {
                                        if (result = MDGetNumericWavePointValue(p->nnH, indices, value))
                                                return result;
                                        value[0] += 1; // add one to the value
                                        if (result = MDSetNumericWavePointValue(p->nnH, indices, value))
                                                return result;
                                //      nn[index] += 1;
                                }
                                                                                                
                                if( index != 0) {               //neutron was scattered, figure out where it went
                                        theta_z = acos(vz);             // Angle (= 2theta) WITH respect to z axis.
                                        testQ = 2*pi*sin(theta_z)/wavelength;
                                        
                                        // pick a random phi angle, and see if it lands on the detector
                                        // since the scattering is isotropic, I can safely pick a new, random value
                                        // this would not be true if simulating anisotropic scattering.
                                        testPhi = ran3(&seed)*2*pi;
                                        
                                        // is it on the detector?       
                                        FindPixel(testQ,testPhi,wavelength,sdd,pixSize,xCtr,yCtr,&xPixel,&yPixel);
                                                                                                        
                                        if(xPixel != -1 && yPixel != -1) {
                                                isOn += 1;
                                                MemClear(indices, sizeof(indices)); // Must be 0 for unused dimensions.
                                                indices[0] = xPixel;
                                                indices[1] = yPixel;
                                                if (result = MDGetNumericWavePointValue(wavH, indices, value))
                                                        return result;
                                                value[0] += 1; // Real part
                                                if (result = MDSetNumericWavePointValue(wavH, indices, value))
                                                        return result;
                                                //if(index==1)  // only the single scattering events
                                                        //dp = dp0 + xPixel + yPixel*numColumns;                //offset the pointer to the exact memory location
                                                        //*dp += 1;             //increment the value there
                                                //endif
                                        }
                                        

        /*              is this causing me a problem since I'm not locking these? Probably not, since it crashes even if I comment these out... */
                                        if(theta_z < theta_max) {
                                                //Choose index for scattering angle array.
                                                //IND = NINT(THETA_z/DTH + 0.4999999)
                                                ind = round(theta_z/dth + 0.4999999);           //round is eqivalent to nint()
                                                nt[ind] += 1;                   //Increment bin for angle.
                                                //Increment angle array for single scattering events.
                                                if (index == 1) {
                                                        j1[ind] += 1;
                                                }
                                                //Increment angle array for double scattering events.
                                                if (index == 2) {
                                                        j2[ind] += 1;
                                                }
                                        }
        /**/
                                        
                                        // increment all of the counters now since done==1 here and I'm sure to exit and get another neutron
                                        NScatterEvents += index;                //total number of scattering events
                                        if(index == 1 && incoherentEvent == 1) {
                                                NSingleIncoherent += 1;
                                        }
                                        if(index == 1 && coherentEvent == 1) {
                                                NSingleCoherent += 1;
                                        }
                                        if(index == 2 && coherentEvent == 1 && incoherentEvent == 0) {
                                                NDoubleCoherent += 1;
                                        }
                                        if(index > 1) {
                                                NMultipleScatter += 1;
                                        }
                                        if(coherentEvent >= 1 && incoherentEvent == 0) {
                                                NCoherentEvents += 1;
                                        }
                                        if(coherentEvent > 1 && incoherentEvent == 0) {
                                                NMultipleCoherent += 1;
                                        }

                                } else {        // index was zero, neutron must be transmitted, so just increment the proper counters and data
                                                isOn += 1;
                                                nt[0] += 1;
                                                MemClear(indices, sizeof(indices)); // Must be 0 for unused dimensions.
                                                //indices[0] = xCtr_long;               //don't put everything in one pixel
                                                //indices[1] = yCtr_long;
                                                indices[0] = (long)round(xCtr+xx/pixSize);
                                                indices[1] = (long)round(yCtr+yy/pixSize);
                                                // check for valid indices - got an XOP error, probably from here
                                                if(indices[0] > 127) indices[0] = 127;
                                                if(indices[0] < 0) indices[0] = 0;
                                                if(indices[1] > 127) indices[1] = 127;
                                                if(indices[1] < 0) indices[1] = 0;
                                                
                                                if (result = MDGetNumericWavePointValue(wavH, indices, value))
                                                        return result;
                                                value[0] += 1; // Real part
                                                if (result = MDSetNumericWavePointValue(wavH, indices, value))
                                                        return result;
                                        }       
                        }
                 } while (!done);
        } while(n1 < imon);
        
// assign the results to the wave

        MemClear(indices, sizeof(indices)); // Must be 0 for unused dimensions.
        value[0] = (double)n1;
        indices[0] = 0;
        if (result = MDSetNumericWavePointValue(p->resultsH, indices, value))
                return result;
        value[0] = (double)n2;
        indices[0] = 1;
        if (result = MDSetNumericWavePointValue(p->resultsH, indices, value))
                return result;
        value[0] = (double)isOn;
        indices[0] = 2;
        if (result = MDSetNumericWavePointValue(p->resultsH, indices, value))
                return result;
        value[0] = (double)NScatterEvents;
        indices[0] = 3;
        if (result = MDSetNumericWavePointValue(p->resultsH, indices, value))
                return result;
        value[0] = (double)NSingleCoherent;
        indices[0] = 4;
        if (result = MDSetNumericWavePointValue(p->resultsH, indices, value))
                return result;
        value[0] = (double)NMultipleCoherent;
        indices[0] = 5;
        if (result = MDSetNumericWavePointValue(p->resultsH, indices, value))
                return result;
        value[0] = (double)NMultipleScatter;
        indices[0] = 6;
        if (result = MDSetNumericWavePointValue(p->resultsH, indices, value))
                return result;  
        value[0] = (double)NCoherentEvents;
        indices[0] = 7;
        if (result = MDSetNumericWavePointValue(p->resultsH, indices, value))
                return result;  


//      HSetState((Handle)wavH, hState);                //release the handle of the 2D data wave
//      WaveHandleModified(wavH);                       // Inform Igor that we have changed the wave. (CALLBACK! needed, but not allowed in Threading)
        
        return(0);
}
////////        end of main function for calculating multiple scattering

int
FindPixel(double testQ, double testPhi, double lam, double sdd,
                double pixSize, double xCtr, double yCtr, long *xPixel, long *yPixel) {

        double theta,dy,dx,qx,qy,pi;
        pi = 4.0*atan(1.0);     
        //decompose to qx,qy
        qx = testQ*cos(testPhi);
        qy = testQ*sin(testPhi);

        //convert qx,qy to pixel locations relative to # of pixels x, y from center
        theta = 2*asin(qy*lam/4/pi);
        dy = sdd*tan(theta);
        *yPixel = round(yCtr + dy/pixSize);
        
        theta = 2*asin(qx*lam/4/pi);
        dx = sdd*tan(theta);
        *xPixel = round(xCtr + dx/pixSize);

        //if on detector, return xPix and yPix values, otherwise -1
        if(*yPixel > 127 || *yPixel < 0) {
                *yPixel = -1;
        }
        if(*xPixel > 127 || *xPixel < 0) {
                *xPixel = -1;
        }
        
        return(0);
}


//calculates new direction (xyz) from an old direction
//theta and phi don't change
int
NewDirection(double *vx, double *vy, double *vz, double theta, double phi) {
        
        int err=0;
        double vx0,vy0,vz0;
        double nx,ny,mag_xy,tx,ty,tz;
        
        //store old direction vector
        vx0 = *vx;
        vy0 = *vy;
        vz0 = *vz;
        
        mag_xy = sqrt(vx0*vx0 + vy0*vy0);
        if(mag_xy < 1e-12) {
                //old vector lies along beam direction
                nx = 0;
                ny = 1;
                tx = 1;
                ty = 0;
                tz = 0;
        } else {
                nx = -vy0 / mag_xy;
                ny = vx0 / mag_xy;
                tx = -vz0*vx0 / mag_xy;
                ty = -vz0*vy0 / mag_xy;
                tz = mag_xy ;
        }
        
        //new scattered direction vector
        *vx = cos(phi)*sin(theta)*tx + sin(phi)*sin(theta)*nx + cos(theta)*vx0;
        *vy = cos(phi)*sin(theta)*ty + sin(phi)*sin(theta)*ny + cos(theta)*vy0;
        *vz = cos(phi)*sin(theta)*tz + cos(theta)*vz0;
        
        return(err);
}

double
path_len(double aval, double sig_tot) {
        
        double retval;
        
        retval = -1*log(1-aval)/sig_tot;
        
        return(retval);
}


#define IA 16807
#define IM 2147483647
#define AM (1.0/IM)
#define IQ 127773
#define IR 2836
#define NTAB 32
#define NDIV (1+(IM-1)/NTAB)
#define EPS 1.2e-7
#define RNMX (1.0-EPS)

float ran1(long *idum)
{
        int j;
        long k;
        static long iy=0;
        static long iv[NTAB];
        float temp;

        if (*idum <= 0 || !iy) {
                if (-(*idum) < 1) *idum=1;
                else *idum = -(*idum);
                for (j=NTAB+7;j>=0;j--) {
                        k=(*idum)/IQ;
                        *idum=IA*(*idum-k*IQ)-IR*k;
                        if (*idum < 0) *idum += IM;
                        if (j < NTAB) iv[j] = *idum;
                }
                iy=iv[0];
        }
        k=(*idum)/IQ;
        *idum=IA*(*idum-k*IQ)-IR*k;
        if (*idum < 0) *idum += IM;
        j=iy/NDIV;
        iy=iv[j];
        iv[j] = *idum;
        if ((temp=AM*iy) > RNMX) return RNMX;
        else return temp;
}
#undef IA
#undef IM
#undef AM
#undef IQ
#undef IR
#undef NTAB
#undef NDIV
#undef EPS
#undef RNMX

////////////////////////
#define MBIG 1000000000
#define MSEED 161803398
#define MZ 0
#define FAC (1.0/MBIG)

float ran3(long *idum)
{
        static int inext,inextp;
        static long ma[56];
        static int iff=0;
        long mj,mk;
        int i,ii,k;

        if (*idum < 0 || iff == 0) {
                iff=1;
                mj=MSEED-(*idum < 0 ? -*idum : *idum);
                mj %= MBIG;
                ma[55]=mj;
                mk=1;
                for (i=1;i<=54;i++) {
                        ii=(21*i) % 55;
                        ma[ii]=mk;
                        mk=mj-mk;
                        if (mk < MZ) mk += MBIG;
                        mj=ma[ii];
                }
                for (k=1;k<=4;k++)
                        for (i=1;i<=55;i++) {
                                ma[i] -= ma[1+(i+30) % 55];
                                if (ma[i] < MZ) ma[i] += MBIG;
                        }
                inext=0;
                inextp=31;
                *idum=1;
        }
        if (++inext == 56) inext=1;
        if (++inextp == 56) inextp=1;
        mj=ma[inext]-ma[inextp];
        if (mj < MZ) mj += MBIG;
        ma[inext]=mj;
        return mj*FAC;
}
#undef MBIG
#undef MSEED
#undef MZ
#undef FAC


// returns the interpolated point value in xx[0,n-1] that has the value x
double locate_interp(double xx[], long n, double x)
{
        unsigned long ju,jm,jl,j;
        int ascnd;
        double pt;

//      char buf[256];
        
        jl=0;
        ju=n-1;
        ascnd=(xx[n-1] > xx[0]);
        while (ju-jl > 1) {
                jm=(ju+jl) >> 1;
                if (x > xx[jm] == ascnd)
                        jl=jm;
                else
                        ju=jm;
        }
        j=jl;           // the point I want is between xx[j] and xx[j+1]
        pt = (x- xx[j])/(xx[j+1] - xx[j]);              //fractional distance, using linear interpolation
        
//      sprintf(buf, "x = %g, j= %ld, pt = %g\r",x,j,pt);
//      XOPNotice(buf);
        
        return(pt+(double)j);
}




/////////////////////////////
/*      RegisterFunction()
        
        Igor calls this at startup time to find the address of the
        XFUNCs added by this XOP. See XOP manual regarding "Direct XFUNCs".
*/
static long
RegisterFunction()
{
        int funcIndex;

        funcIndex = GetXOPItem(0);              // Which function is Igor asking about?
        switch (funcIndex) {
                case 0:                                         // 
                        return((long)Monte_SANSX);
                        break;
                case 1:                                         // 
                        return((long)Monte_SANSX2);
                        break;

        }
        return(NIL);
}

/*      XOPEntry()

        This is the entry point from the host application to the XOP for all messages after the
        INIT message.
*/
static void
XOPEntry(void)
{       
        long result = 0;

        switch (GetXOPMessage()) {
                case FUNCADDRS:
                        result = RegisterFunction();
                        break;
        }
        SetXOPResult(result);
}

/*      main(ioRecHandle)

        This is the initial entry point at which the host application calls XOP.
        The message sent by the host must be INIT.
        main() does any necessary initialization and then sets the XOPEntry field of the
        ioRecHandle to the address to be called for future messages.
*/
HOST_IMPORT void
main(IORecHandle ioRecHandle)
{       
        XOPInit(ioRecHandle);                                                   // Do standard XOP initialization.
        SetXOPEntry(XOPEntry);                                                  // Set entry point for future calls.
        
        if (igorVersion < 600)                          // Requires Igor Pro 6.00 or later.
                SetXOPResult(OLD_IGOR);                 // OLD_IGOR is defined in WaveAccess.h and there are corresponding error strings in WaveAccess.r and WaveAccessWinCustom.rc.
        else
                SetXOPResult(0L);
}