1 | /* |
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2 | * MonteCarlo.c |
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3 | * SANSAnalysis |
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4 | * |
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5 | * Created by Steve Kline on 10/16/08. |
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6 | * Copyright 2008 __MyCompanyName__. All rights reserved. |
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7 | * |
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8 | */ |
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9 | |
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10 | |
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11 | #include "XOPStandardHeaders.h" // Include ANSI headers, Mac headers, IgorXOP.h, XOP.h and XOPSupport.h |
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12 | #include "MonteCarlo.h" |
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13 | |
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14 | static int gCallSpinProcess = 1; // Set to 1 to all user abort (cmd dot) and background processing. |
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15 | |
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16 | ////////// |
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17 | // PROGRAM Monte_SANS |
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18 | // PROGRAM simulates multiple SANS. |
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19 | // revised 2/12/99 JGB |
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20 | // added calculation of random deviate, and 2D 10/2008 SRK |
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21 | |
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22 | // N1 = NUMBER OF INCIDENT NEUTRONS. |
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23 | // N2 = NUMBER INTERACTED IN THE SAMPLE. |
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24 | // N3 = NUMBER ABSORBED. |
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25 | // THETA = SCATTERING ANGLE. |
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26 | |
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27 | // works fine in the single-threaded case. |
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28 | // |
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29 | /// currently crashes if threaded. apparently something here is either doing an unknown callback, or is accessing |
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30 | // a bad place in memory. |
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31 | // |
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32 | // the operations SpinProcess() and WaveHandleModified() are callbacks and MUST be commented out before threading. |
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33 | // - some locks are non-existent |
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34 | // - supposedly safe wave access routines are used |
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35 | // |
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36 | // random number generators are not thread-safe, and can give less than random results, but is this enough to crash? |
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37 | // -- a possible workaround is to define multiple versions (poor man's threading) |
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38 | // |
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39 | // |
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40 | // |
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41 | |
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42 | // version X uses ran3 |
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43 | // version X2 uses ran1 |
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44 | |
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45 | int |
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46 | Monte_SANSX2(MC_ParamsPtr p) { |
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47 | double *inputWave; /* pointer to double precision wave data */ |
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48 | double *ran_dev; /* pointer to double precision wave data */ |
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49 | double *nt; /* pointer to double precision wave data */ |
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50 | double *j1; /* pointer to double precision wave data */ |
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51 | double *j2; /* pointer to double precision wave data */ |
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52 | double *nn; /* pointer to double precision wave data */ |
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53 | // double *MC_linear_data; /* pointer to double precision wave data */ |
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54 | double *results; /* pointer to double precision wave data */ |
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55 | double result; //return value |
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56 | |
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57 | long imon; |
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58 | double r1,r2,xCtr,yCtr,sdd,pixSize,thick,wavelength,sig_incoh,sig_sas; |
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59 | long ind,index,n_index; |
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60 | double qmax,theta_max,q0,zpow; |
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61 | long n1,n2,n3; |
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62 | double dth,zz,xx,yy,phi; |
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63 | double theta,ran,ll,rr,ttot; |
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64 | long done,find_theta,err; //used as logicals |
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65 | long xPixel,yPixel; |
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66 | double vx,vy,vz,theta_z; |
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67 | double sig_abs,ratio,sig_total; |
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68 | double testQ,testPhi,left,delta,dummy,pi; |
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69 | double sigabs_0,num_bins; |
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70 | long NSingleIncoherent,NSingleCoherent,NScatterEvents,incoherentEvent,coherentEvent; |
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71 | long NDoubleCoherent,NMultipleScatter,isOn,xCtr_long,yCtr_long; |
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72 | long NMultipleCoherent,NCoherentEvents; |
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73 | |
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74 | |
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75 | // for accessing the 2D wave data, direct method (see the WaveAccess example XOP) |
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76 | waveHndl wavH; |
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77 | int waveType,hState; |
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78 | long numDimensions; |
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79 | long dimensionSizes[MAX_DIMENSIONS+1]; |
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80 | char* dataStartPtr; |
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81 | long dataOffset; |
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82 | long numRows, numColumns,numRows_ran_dev; |
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83 | double *dp0, *dp, value[2]; // Pointers used for double data. |
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84 | long seed; |
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85 | long indices[MAX_DIMENSIONS]; |
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86 | |
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87 | char buf[256]; |
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88 | |
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89 | /* check that wave handles are all valid */ |
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90 | if (p->inputWaveH == NIL) { |
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91 | SetNaN64(&p->result); /* return NaN if wave is not valid */ |
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92 | return(NON_EXISTENT_WAVE); |
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93 | } |
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94 | if (p->ran_devH == NIL) { |
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95 | SetNaN64(&p->result); /* return NaN if wave is not valid */ |
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96 | return(NON_EXISTENT_WAVE); |
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97 | } |
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98 | if (p->ntH == NIL) { |
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99 | SetNaN64(&p->result); /* return NaN if wave is not valid */ |
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100 | return(NON_EXISTENT_WAVE); |
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101 | } |
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102 | if (p->j1H == NIL) { |
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103 | SetNaN64(&p->result); /* return NaN if wave is not valid */ |
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104 | return(NON_EXISTENT_WAVE); |
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105 | } |
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106 | if (p->j2H == NIL) { |
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107 | SetNaN64(&p->result); /* return NaN if wave is not valid */ |
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108 | return(NON_EXISTENT_WAVE); |
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109 | } |
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110 | if (p->nnH == NIL) { |
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111 | SetNaN64(&p->result); /* return NaN if wave is not valid */ |
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112 | return(NON_EXISTENT_WAVE); |
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113 | } |
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114 | if (p->MC_linear_dataH == NIL) { |
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115 | SetNaN64(&p->result); /* return NaN if wave is not valid */ |
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116 | return(NON_EXISTENT_WAVE); |
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117 | } |
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118 | if (p->resultsH == NIL) { |
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119 | SetNaN64(&p->result); /* return NaN if wave is not valid */ |
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120 | return(NON_EXISTENT_WAVE); |
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121 | } |
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122 | |
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123 | p->result = 0; |
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124 | |
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125 | // trusting that all inputs are DOUBLE PRECISION WAVES!!! |
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126 | inputWave = WaveData(p->inputWaveH); |
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127 | ran_dev = WaveData(p->ran_devH); |
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128 | nt = WaveData(p->ntH); |
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129 | j1 = WaveData(p->j1H); |
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130 | j2 = WaveData(p->j2H); |
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131 | nn = WaveData(p->nnH); |
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132 | // MC_linear_data = WaveData(p->MC_linear_dataH); |
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133 | results = WaveData(p->resultsH); |
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134 | |
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135 | seed = (long)results[0]; |
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136 | |
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137 | // sprintf(buf, "input seed = %ld\r", seed); |
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138 | // XOPNotice(buf); |
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139 | |
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140 | if(seed >= 0) { |
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141 | seed = -1234509876; |
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142 | } |
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143 | |
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144 | dummy = ran1(&seed); //initialize the random sequence by passing in a negative value |
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145 | seed = 12348765; //non-negative after that does nothing |
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146 | |
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147 | imon = (int)inputWave[0]; |
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148 | r1 = inputWave[1]; |
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149 | r2 = inputWave[2]; |
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150 | xCtr = inputWave[3]; |
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151 | yCtr = inputWave[4]; |
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152 | sdd = inputWave[5]; |
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153 | pixSize = inputWave[6]; |
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154 | thick = inputWave[7]; |
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155 | wavelength = inputWave[8]; |
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156 | sig_incoh = inputWave[9]; |
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157 | sig_sas = inputWave[10]; |
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158 | xCtr_long = round(xCtr); |
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159 | yCtr_long = round(yCtr); |
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160 | |
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161 | dummy = MDGetWaveScaling(p->ran_devH, 0, &delta, &left); //0 is the rows |
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162 | if (result = MDGetWaveDimensions(p->ran_devH, &numDimensions, dimensionSizes)) |
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163 | return result; |
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164 | numRows_ran_dev = dimensionSizes[0]; |
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165 | |
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166 | pi = 4.0*atan(1.0); |
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167 | |
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168 | // access the 2D wave data for writing using the direct method |
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169 | wavH = p->MC_linear_dataH; |
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170 | if (wavH == NIL) |
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171 | return NOWAV; |
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172 | |
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173 | // waveType = WaveType(wavH); |
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174 | // if (waveType & NT_CMPLX) |
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175 | // return NO_COMPLEX_WAVE; |
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176 | // if (waveType==TEXT_WAVE_TYPE) |
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177 | // return NUMERIC_ACCESS_ON_TEXT_WAVE; |
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178 | // if (result = MDGetWaveDimensions(wavH, &numDimensions, dimensionSizes)) |
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179 | // return result; |
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180 | // numRows = dimensionSizes[0]; |
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181 | // numColumns = dimensionSizes[1]; |
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182 | |
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183 | // if (result = MDAccessNumericWaveData(wavH, kMDWaveAccessMode0, &dataOffset)) |
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184 | // return result; |
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185 | |
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186 | // hState = MoveLockHandle(wavH); // So wave data can't move. Remember to call HSetState when done. |
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187 | // dataStartPtr = (char*)(*wavH) + dataOffset; |
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188 | // dp0 = (double*)dataStartPtr; // Pointer to the start of the 2D wave data. |
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189 | |
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190 | //scattering power and maximum qvalue to bin |
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191 | // zpow = .1 //scattering power, calculated below |
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192 | qmax = 4.0*pi/wavelength; //maximum Q to bin 1D data. (A-1) (not really used) |
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193 | sigabs_0 = 0.0; // ignore absorption cross section/wavelength [1/(cm A)] |
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194 | n_index = 50; // maximum number of scattering events per neutron |
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195 | num_bins = 200; //number of 1-D bins (not really used) |
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196 | |
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197 | //c total SAS cross-section |
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198 | // |
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199 | zpow = sig_sas*thick; //since I now calculate the sig_sas from the model |
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200 | sig_abs = sigabs_0 * wavelength; |
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201 | sig_total = sig_abs + sig_sas + sig_incoh; |
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202 | // Print "The TOTAL XSECTION. (CM-1) is ",sig_total |
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203 | // Print "The TOTAL SAS XSECTION. (CM-1) is ",sig_sas |
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204 | // results[0] = sig_total; |
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205 | // results[1] = sig_sas; |
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206 | // RATIO = SIG_ABS / SIG_TOTAL |
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207 | ratio = sig_incoh / sig_total; |
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208 | |
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209 | theta_max = wavelength*qmax/(2*pi); |
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210 | //C SET Theta-STEP SIZE. |
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211 | dth = theta_max/num_bins; |
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212 | // Print "theta bin size = dth = ",dth |
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213 | |
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214 | //C INITIALIZE COUNTERS. |
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215 | n1 = 0; |
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216 | n2 = 0; |
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217 | n3 = 0; |
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218 | NSingleIncoherent = 0; |
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219 | NSingleCoherent = 0; |
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220 | NDoubleCoherent = 0; |
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221 | NMultipleScatter = 0; |
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222 | NScatterEvents = 0; |
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223 | NMultipleCoherent = 0; |
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224 | NCoherentEvents = 0; |
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225 | |
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226 | isOn = 0; |
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227 | |
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228 | //C MONITOR LOOP - looping over the number of incedent neutrons |
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229 | //note that zz, is the z-position in the sample - NOT the scattering power |
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230 | // NOW, start the loop, throwing neutrons at the sample. |
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231 | do { |
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232 | ////SpinProcess() IS A CALLBACK, and not good for Threading! |
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233 | // if ((n1 % 1000 == 0) && gCallSpinProcess && SpinProcess()) { // Spins cursor and allows background processing. |
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234 | // result = -1; // User aborted. |
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235 | // break; |
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236 | // } |
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237 | |
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238 | vx = 0.0; // Initialize direction vector. |
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239 | vy = 0.0; |
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240 | vz = 1.0; |
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241 | |
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242 | theta = 0.0; // Initialize scattering angle. |
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243 | phi = 0.0; // Intialize azimuthal angle. |
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244 | n1 += 1; // Increment total number neutrons counter. |
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245 | done = 0; // True when neutron is absorbed or when scattered out of the sample. |
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246 | index = 0; // Set counter for number of scattering events. |
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247 | zz = 0.0; // Set entering dimension of sample. |
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248 | incoherentEvent = 0; |
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249 | coherentEvent = 0; |
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250 | |
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251 | do { // Makes sure position is within circle. |
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252 | ran = ran1(&seed); //[0,1] |
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253 | xx = 2.0*r1*(ran-0.5); //X beam position of neutron entering sample. |
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254 | ran = ran1(&seed); //[0,1] |
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255 | yy = 2.0*r1*(ran-0.5); //Y beam position ... |
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256 | rr = sqrt(xx*xx+yy*yy); //Radial position of neutron in incident beam. |
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257 | } while(rr>r1); |
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258 | |
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259 | do { //Scattering Loop, will exit when "done" == 1 |
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260 | // keep scattering multiple times until the neutron exits the sample |
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261 | ran = ran1(&seed); //[0,1] RANDOM NUMBER FOR DETERMINING PATH LENGTH |
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262 | ll = path_len(ran,sig_total); |
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263 | //Determine new scattering direction vector. |
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264 | err = NewDirection(&vx,&vy,&vz,theta,phi); //vx,vy,vz updated, theta, phi unchanged by function |
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265 | |
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266 | //X,Y,Z-POSITION OF SCATTERING EVENT. |
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267 | xx += ll*vx; |
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268 | yy += ll*vy; |
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269 | zz += ll*vz; |
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270 | rr = sqrt(xx*xx+yy*yy); //radial position of scattering event. |
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271 | |
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272 | //sprintf(buf, "xx,yy,zz,vx,vy,vz,ll = %g %g %g %g %g %g %g\r",xx,yy,zz,vx,vy,vz,ll); |
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273 | //XOPNotice(buf); |
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274 | |
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275 | //Check whether interaction occurred within sample volume. |
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276 | if (((zz > 0.0) && (zz < thick)) && (rr < r2)) { |
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277 | //NEUTRON INTERACTED. |
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278 | //sprintf(buf,"neutron interacted\r"); |
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279 | //XOPNotice(buf); |
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280 | |
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281 | index += 1; //Increment counter of scattering events. |
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282 | if (index == 1) { |
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283 | n2 += 1; //Increment # of scat. neutrons |
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284 | } |
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285 | ran = ran1(&seed); //[0,1] |
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286 | //Split neutron interactions into scattering and absorption events |
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287 | if (ran > ratio ) { //C NEUTRON SCATTERED coherently |
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288 | //sprintf(buf,"neutron scatters coherently\r"); |
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289 | //XOPNotice(buf); |
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290 | coherentEvent += 1; |
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291 | find_theta = 0; //false |
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292 | do { |
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293 | // pick a q-value from the deviate function |
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294 | // pnt2x truncates the point to an integer before returning the x |
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295 | // so get it from the wave scaling instead |
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296 | // q0 =left + binarysearchinterp(ran_dev,ran1(seed))*delta; |
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297 | |
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298 | q0 =left + locate_interp(ran_dev,numRows_ran_dev,ran1(&seed))*delta; |
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299 | theta = q0/2/pi*wavelength; //SAS approximation |
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300 | |
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301 | find_theta = 1; //always accept |
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302 | |
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303 | //sprintf(buf, "after locate_interp call q0 = %g, theta = %g,left = %g,delta = %g\r",q0,theta,left,delta); |
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304 | //XOPNotice(buf); |
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305 | |
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306 | } while(!find_theta); |
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307 | |
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308 | ran = ran1(&seed); //[0,1] |
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309 | phi = 2.0*pi*ran; //Chooses azimuthal scattering angle. |
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310 | } else { |
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311 | //NEUTRON scattered incoherently |
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312 | //sprintf(buf,"neutron scatters incoherent\r"); |
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313 | //XOPNotice(buf); |
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314 | incoherentEvent += 1; |
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315 | // phi and theta are random over the entire sphere of scattering |
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316 | // !can't just choose random theta and phi, won't be random over sphere solid angle |
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317 | |
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318 | ran = ran1(&seed); //[0,1] |
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319 | theta = acos(2.0*ran-1); |
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320 | |
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321 | ran = ran1(&seed); //[0,1] |
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322 | phi = 2.0*pi*ran; //Chooses azimuthal scattering angle. |
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323 | } //(ran > ratio) |
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324 | } else { |
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325 | //NEUTRON ESCAPES FROM SAMPLE -- bin it somewhere |
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326 | done = 1; //done = true, will exit from loop |
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327 | //Increment #scattering events array |
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328 | MemClear(indices, sizeof(indices)); // Must be 0 for unused dimensions. |
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329 | indices[0] =index; //this sets access to nn[index] |
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330 | if (index <= n_index) { |
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331 | if (result = MDGetNumericWavePointValue(p->nnH, indices, value)) |
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332 | return result; |
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333 | value[0] += 1; // add one to the value |
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334 | if (result = MDSetNumericWavePointValue(p->nnH, indices, value)) |
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335 | return result; |
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336 | // nn[index] += 1; |
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337 | } |
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338 | |
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339 | if( index != 0) { //neutron was scattered, figure out where it went |
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340 | theta_z = acos(vz); // Angle (= 2theta) WITH respect to z axis. |
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341 | testQ = 2*pi*sin(theta_z)/wavelength; |
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342 | |
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343 | // pick a random phi angle, and see if it lands on the detector |
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344 | // since the scattering is isotropic, I can safely pick a new, random value |
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345 | // this would not be true if simulating anisotropic scattering. |
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346 | testPhi = ran1(&seed)*2*pi; |
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347 | |
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348 | // is it on the detector? |
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349 | FindPixel(testQ,testPhi,wavelength,sdd,pixSize,xCtr,yCtr,&xPixel,&yPixel); |
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350 | |
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351 | if(xPixel != -1 && yPixel != -1) { |
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352 | isOn += 1; |
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353 | MemClear(indices, sizeof(indices)); // Must be 0 for unused dimensions. |
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354 | indices[0] = xPixel; |
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355 | indices[1] = yPixel; |
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356 | if (result = MDGetNumericWavePointValue(wavH, indices, value)) |
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357 | return result; |
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358 | value[0] += 1; // Real part |
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359 | if (result = MDSetNumericWavePointValue(wavH, indices, value)) |
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360 | return result; |
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361 | //if(index==1) // only the single scattering events |
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362 | //dp = dp0 + xPixel + yPixel*numColumns; //offset the pointer to the exact memory location |
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363 | //*dp += 1; //increment the value there |
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364 | //endif |
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365 | } |
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366 | |
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367 | |
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368 | /* is this causing me a problem since I'm not locking these? Probably not, since it crashes even if I comment these out... */ |
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369 | if(theta_z < theta_max) { |
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370 | //Choose index for scattering angle array. |
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371 | //IND = NINT(THETA_z/DTH + 0.4999999) |
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372 | ind = round(theta_z/dth + 0.4999999); //round is eqivalent to nint() |
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373 | nt[ind] += 1; //Increment bin for angle. |
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374 | //Increment angle array for single scattering events. |
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375 | if (index == 1) { |
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376 | j1[ind] += 1; |
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377 | } |
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378 | //Increment angle array for double scattering events. |
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379 | if (index == 2) { |
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380 | j2[ind] += 1; |
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381 | } |
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382 | } |
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383 | /**/ |
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384 | |
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385 | // increment all of the counters now since done==1 here and I'm sure to exit and get another neutron |
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386 | NScatterEvents += index; //total number of scattering events |
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387 | if(index == 1 && incoherentEvent == 1) { |
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388 | NSingleIncoherent += 1; |
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389 | } |
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390 | if(index == 1 && coherentEvent == 1) { |
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391 | NSingleCoherent += 1; |
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392 | } |
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393 | if(index == 2 && coherentEvent == 1 && incoherentEvent == 0) { |
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394 | NDoubleCoherent += 1; |
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395 | } |
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396 | if(index > 1) { |
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397 | NMultipleScatter += 1; |
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398 | } |
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399 | if(coherentEvent >= 1 && incoherentEvent == 0) { |
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400 | NCoherentEvents += 1; |
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401 | } |
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402 | if(coherentEvent > 1 && incoherentEvent == 0) { |
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403 | NMultipleCoherent += 1; |
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404 | } |
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405 | |
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406 | } else { // index was zero, neutron must be transmitted, so just increment the proper counters and data |
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407 | isOn += 1; |
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408 | nt[0] += 1; |
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409 | MemClear(indices, sizeof(indices)); // Must be 0 for unused dimensions. |
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410 | //indices[0] = xCtr_long; //don't put everything in one pixel |
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411 | //indices[1] = yCtr_long; |
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412 | indices[0] = (long)round(xCtr+xx/pixSize); |
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413 | indices[1] = (long)round(yCtr+yy/pixSize); |
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414 | // check for valid indices - got an XOP error, probably from here |
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415 | if(indices[0] > 127) indices[0] = 127; |
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416 | if(indices[0] < 0) indices[0] = 0; |
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417 | if(indices[1] > 127) indices[1] = 127; |
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418 | if(indices[1] < 0) indices[1] = 0; |
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419 | |
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420 | if (result = MDGetNumericWavePointValue(wavH, indices, value)) |
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421 | return result; |
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422 | value[0] += 1; // Real part |
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423 | if (result = MDSetNumericWavePointValue(wavH, indices, value)) |
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424 | return result; |
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425 | } |
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426 | } |
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427 | } while (!done); |
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428 | } while(n1 < imon); |
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429 | |
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430 | // assign the results to the wave |
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431 | |
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432 | MemClear(indices, sizeof(indices)); // Must be 0 for unused dimensions. |
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433 | value[0] = (double)n1; |
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434 | indices[0] = 0; |
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435 | if (result = MDSetNumericWavePointValue(p->resultsH, indices, value)) |
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436 | return result; |
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437 | value[0] = (double)n2; |
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438 | indices[0] = 1; |
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439 | if (result = MDSetNumericWavePointValue(p->resultsH, indices, value)) |
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440 | return result; |
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441 | value[0] = (double)isOn; |
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442 | indices[0] = 2; |
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443 | if (result = MDSetNumericWavePointValue(p->resultsH, indices, value)) |
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444 | return result; |
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445 | value[0] = (double)NScatterEvents; |
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446 | indices[0] = 3; |
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447 | if (result = MDSetNumericWavePointValue(p->resultsH, indices, value)) |
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448 | return result; |
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449 | value[0] = (double)NSingleCoherent; |
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450 | indices[0] = 4; |
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451 | if (result = MDSetNumericWavePointValue(p->resultsH, indices, value)) |
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452 | return result; |
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453 | value[0] = (double)NMultipleCoherent; |
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454 | indices[0] = 5; |
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455 | if (result = MDSetNumericWavePointValue(p->resultsH, indices, value)) |
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456 | return result; |
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457 | value[0] = (double)NMultipleScatter; |
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458 | indices[0] = 6; |
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459 | if (result = MDSetNumericWavePointValue(p->resultsH, indices, value)) |
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460 | return result; |
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461 | value[0] = (double)NCoherentEvents; |
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462 | indices[0] = 7; |
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463 | if (result = MDSetNumericWavePointValue(p->resultsH, indices, value)) |
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464 | return result; |
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465 | |
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466 | // HSetState((Handle)wavH, hState); //release the handle of the 2D data wave |
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467 | // WaveHandleModified(wavH); // Inform Igor that we have changed the wave. (CALLBACK! needed, but not allowed in Threading) |
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468 | |
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469 | return(0); |
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470 | } |
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471 | //////// end of main function for calculating multiple scattering |
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472 | |
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