| 1 | """ |
|---|
| 2 | Data manipulations for 2D data sets. |
|---|
| 3 | Using the meta data information, various types of averaging |
|---|
| 4 | are performed in Q-space |
|---|
| 5 | """ |
|---|
| 6 | |
|---|
| 7 | """ |
|---|
| 8 | This software was developed by the University of Tennessee as part of the |
|---|
| 9 | Distributed Data Analysis of Neutron Scattering Experiments (DANSE) |
|---|
| 10 | project funded by the US National Science Foundation. |
|---|
| 11 | |
|---|
| 12 | See the license text in license.txt |
|---|
| 13 | |
|---|
| 14 | copyright 2008, University of Tennessee |
|---|
| 15 | """ |
|---|
| 16 | #TODO: copy the meta data from the 2D object to the resulting 1D object |
|---|
| 17 | |
|---|
| 18 | from data_info import plottable_2D, Data1D |
|---|
| 19 | import math |
|---|
| 20 | import numpy |
|---|
| 21 | |
|---|
| 22 | def get_q(dx, dy, det_dist, wavelength): |
|---|
| 23 | """ |
|---|
| 24 | @param dx: x-distance from beam center [mm] |
|---|
| 25 | @param dy: y-distance from beam center [mm] |
|---|
| 26 | @return: q-value at the given position |
|---|
| 27 | """ |
|---|
| 28 | # Distance from beam center in the plane of detector |
|---|
| 29 | plane_dist = math.sqrt(dx*dx + dy*dy) |
|---|
| 30 | # Half of the scattering angle |
|---|
| 31 | theta = 0.5*math.atan(plane_dist/det_dist) |
|---|
| 32 | return (4.0*math.pi/wavelength)*math.sin(theta) |
|---|
| 33 | |
|---|
| 34 | class _Slab(object): |
|---|
| 35 | """ |
|---|
| 36 | Compute average I(Q) for a region of interest |
|---|
| 37 | """ |
|---|
| 38 | def __init__(self, x_min=0.0, x_max=0.0, y_min=0.0, y_max=0.0, bin_width=0.001): |
|---|
| 39 | # Minimum Qx value [A-1] |
|---|
| 40 | self.x_min = x_min |
|---|
| 41 | # Maximum Qx value [A-1] |
|---|
| 42 | self.x_max = x_max |
|---|
| 43 | # Minimum Qy value [A-1] |
|---|
| 44 | self.y_min = y_min |
|---|
| 45 | # Maximum Qy value [A-1] |
|---|
| 46 | self.y_max = y_max |
|---|
| 47 | # Bin width (step size) [A-1] |
|---|
| 48 | self.bin_width = bin_width |
|---|
| 49 | # If True, I(|Q|) will be return, otherwise, negative q-values are allowed |
|---|
| 50 | self.fold = False |
|---|
| 51 | |
|---|
| 52 | def __call__(self, data2D): return NotImplemented |
|---|
| 53 | |
|---|
| 54 | def _avg(self, data2D, maj): |
|---|
| 55 | """ |
|---|
| 56 | Compute average I(Q_maj) for a region of interest. |
|---|
| 57 | The major axis is defined as the axis of Q_maj. |
|---|
| 58 | The minor axis is the axis that we average over. |
|---|
| 59 | |
|---|
| 60 | @param data2D: Data2D object |
|---|
| 61 | @param maj_min: min value on the major axis |
|---|
| 62 | @return: Data1D object |
|---|
| 63 | """ |
|---|
| 64 | if len(data2D.detector) != 1: |
|---|
| 65 | raise RuntimeError, "_Slab._avg: invalid number of detectors: %g" % len(data2D.detector) |
|---|
| 66 | |
|---|
| 67 | pixel_width_x = data2D.detector[0].pixel_size.x |
|---|
| 68 | pixel_width_y = data2D.detector[0].pixel_size.y |
|---|
| 69 | det_dist = data2D.detector[0].distance |
|---|
| 70 | wavelength = data2D.source.wavelength |
|---|
| 71 | center_x = data2D.detector[0].beam_center.x/pixel_width_x |
|---|
| 72 | center_y = data2D.detector[0].beam_center.y/pixel_width_y |
|---|
| 73 | |
|---|
| 74 | # Build array of Q intervals |
|---|
| 75 | if maj=='x': |
|---|
| 76 | nbins = int(math.ceil((self.x_max-self.x_min)/self.bin_width)) |
|---|
| 77 | qbins = self.bin_width*numpy.arange(nbins)+self.x_min |
|---|
| 78 | elif maj=='y': |
|---|
| 79 | nbins = int(math.ceil((self.y_max-self.y_min)/self.bin_width)) |
|---|
| 80 | qbins = self.bin_width*numpy.arange(nbins)+self.y_min |
|---|
| 81 | else: |
|---|
| 82 | raise RuntimeError, "_Slab._avg: unrecognized axis %s" % str(maj) |
|---|
| 83 | |
|---|
| 84 | x = numpy.zeros(nbins) |
|---|
| 85 | y = numpy.zeros(nbins) |
|---|
| 86 | err_y = numpy.zeros(nbins) |
|---|
| 87 | y_counts = numpy.zeros(nbins) |
|---|
| 88 | |
|---|
| 89 | for i in range(numpy.size(data2D.data,1)): |
|---|
| 90 | # Min and max x-value for the pixel |
|---|
| 91 | minx = pixel_width_x*(i - center_x) |
|---|
| 92 | maxx = pixel_width_x*(i+1.0 - center_x) |
|---|
| 93 | |
|---|
| 94 | qxmin = get_q(minx, 0.0, det_dist, wavelength) |
|---|
| 95 | qxmax = get_q(maxx, 0.0, det_dist, wavelength) |
|---|
| 96 | |
|---|
| 97 | # Get the count fraction in x for that pixel |
|---|
| 98 | frac_min = get_pixel_fraction_square(self.x_min, qxmin, qxmax) |
|---|
| 99 | frac_max = get_pixel_fraction_square(self.x_max, qxmin, qxmax) |
|---|
| 100 | frac_x = frac_max - frac_min |
|---|
| 101 | |
|---|
| 102 | if frac_x == 0: |
|---|
| 103 | continue |
|---|
| 104 | |
|---|
| 105 | if maj=='x': |
|---|
| 106 | dx = pixel_width_x*(i+0.5 - center_x) |
|---|
| 107 | q_value = get_q(dx, 0.0, det_dist, wavelength) |
|---|
| 108 | if self.fold==False and dx<0: |
|---|
| 109 | q_value = -q_value |
|---|
| 110 | i_q = int(math.ceil((q_value-self.x_min)/self.bin_width)) - 1 |
|---|
| 111 | |
|---|
| 112 | if i_q<0 or i_q>=nbins: |
|---|
| 113 | continue |
|---|
| 114 | |
|---|
| 115 | for j in range(numpy.size(data2D.data,0)): |
|---|
| 116 | # Min and max y-value for the pixel |
|---|
| 117 | miny = pixel_width_y*(j - center_y) |
|---|
| 118 | maxy = pixel_width_y*(j+1.0 - center_y) |
|---|
| 119 | |
|---|
| 120 | qymin = get_q(0.0, miny, det_dist, wavelength) |
|---|
| 121 | qymax = get_q(0.0, maxy, det_dist, wavelength) |
|---|
| 122 | |
|---|
| 123 | # Get the count fraction in x for that pixel |
|---|
| 124 | frac_min = get_pixel_fraction_square(self.y_min, qymin, qymax) |
|---|
| 125 | frac_max = get_pixel_fraction_square(self.y_max, qymin, qymax) |
|---|
| 126 | frac_y = frac_max - frac_min |
|---|
| 127 | |
|---|
| 128 | frac = frac_x * frac_y |
|---|
| 129 | |
|---|
| 130 | if frac == 0: |
|---|
| 131 | continue |
|---|
| 132 | |
|---|
| 133 | if maj=='y': |
|---|
| 134 | dy = pixel_width_y*(j+0.5 - center_y) |
|---|
| 135 | q_value = get_q(0.0, dy, det_dist, wavelength) |
|---|
| 136 | if self.fold==False and dy<0: |
|---|
| 137 | q_value = -q_value |
|---|
| 138 | i_q = int(math.ceil((q_value-self.y_min)/self.bin_width)) - 1 |
|---|
| 139 | |
|---|
| 140 | if i_q<0 or i_q>=nbins: |
|---|
| 141 | continue |
|---|
| 142 | |
|---|
| 143 | x[i_q] = q_value |
|---|
| 144 | y[i_q] += frac * data2D.data[j][i] |
|---|
| 145 | if data2D.err_data == None or data2D.err_data[j][i]==0.0: |
|---|
| 146 | err_y[i_q] += frac * frac * math.fabs(data2D.data[j][i]) |
|---|
| 147 | else: |
|---|
| 148 | err_y[i_q] += frac * frac * data2D.err_data[j][i] * data2D.err_data[j][i] |
|---|
| 149 | y_counts[i_q] += frac |
|---|
| 150 | |
|---|
| 151 | # Average the sums |
|---|
| 152 | for i in range(nbins): |
|---|
| 153 | if y_counts[i]>0: |
|---|
| 154 | err_y[i] = math.sqrt(err_y[i])/y_counts[i] |
|---|
| 155 | y[i] = y[i]/y_counts[i] |
|---|
| 156 | |
|---|
| 157 | return Data1D(x=x, y=y, dy=err_y) |
|---|
| 158 | |
|---|
| 159 | class SlabY(_Slab): |
|---|
| 160 | """ |
|---|
| 161 | Compute average I(Qy) for a region of interest |
|---|
| 162 | """ |
|---|
| 163 | def __call__(self, data2D): |
|---|
| 164 | """ |
|---|
| 165 | Compute average I(Qy) for a region of interest |
|---|
| 166 | |
|---|
| 167 | @param data2D: Data2D object |
|---|
| 168 | @return: Data1D object |
|---|
| 169 | """ |
|---|
| 170 | return self._avg(data2D, 'y') |
|---|
| 171 | |
|---|
| 172 | class SlabX(_Slab): |
|---|
| 173 | """ |
|---|
| 174 | Compute average I(Qx) for a region of interest |
|---|
| 175 | """ |
|---|
| 176 | def __call__(self, data2D): |
|---|
| 177 | """ |
|---|
| 178 | Compute average I(Qx) for a region of interest |
|---|
| 179 | |
|---|
| 180 | @param data2D: Data2D object |
|---|
| 181 | @return: Data1D object |
|---|
| 182 | """ |
|---|
| 183 | return self._avg(data2D, 'x') |
|---|
| 184 | |
|---|
| 185 | class Boxsum(object): |
|---|
| 186 | """ |
|---|
| 187 | Perform the sum of counts in a 2D region of interest. |
|---|
| 188 | """ |
|---|
| 189 | def __init__(self, x_min=0.0, x_max=0.0, y_min=0.0, y_max=0.0): |
|---|
| 190 | # Minimum Qx value [A-1] |
|---|
| 191 | self.x_min = x_min |
|---|
| 192 | # Maximum Qx value [A-1] |
|---|
| 193 | self.x_max = x_max |
|---|
| 194 | # Minimum Qy value [A-1] |
|---|
| 195 | self.y_min = y_min |
|---|
| 196 | # Maximum Qy value [A-1] |
|---|
| 197 | self.y_max = y_max |
|---|
| 198 | |
|---|
| 199 | def __call__(self, data2D): |
|---|
| 200 | """ |
|---|
| 201 | Perform the sum in the region of interest |
|---|
| 202 | |
|---|
| 203 | @param data2D: Data2D object |
|---|
| 204 | @return: number of counts, error on number of counts |
|---|
| 205 | """ |
|---|
| 206 | y, err_y, y_counts = self._sum(data2D) |
|---|
| 207 | |
|---|
| 208 | # Average the sums |
|---|
| 209 | counts = 0 if y_counts==0 else y |
|---|
| 210 | error = 0 if y_counts==0 else math.sqrt(err_y) |
|---|
| 211 | |
|---|
| 212 | return counts, error |
|---|
| 213 | |
|---|
| 214 | def _sum(self, data2D): |
|---|
| 215 | """ |
|---|
| 216 | Perform the sum in the region of interest |
|---|
| 217 | @param data2D: Data2D object |
|---|
| 218 | @return: number of counts, error on number of counts, number of entries summed |
|---|
| 219 | """ |
|---|
| 220 | if len(data2D.detector) != 1: |
|---|
| 221 | raise RuntimeError, "Circular averaging: invalid number of detectors: %g" % len(data2D.detector) |
|---|
| 222 | |
|---|
| 223 | pixel_width_x = data2D.detector[0].pixel_size.x |
|---|
| 224 | pixel_width_y = data2D.detector[0].pixel_size.y |
|---|
| 225 | det_dist = data2D.detector[0].distance |
|---|
| 226 | wavelength = data2D.source.wavelength |
|---|
| 227 | center_x = data2D.detector[0].beam_center.x/pixel_width_x |
|---|
| 228 | center_y = data2D.detector[0].beam_center.y/pixel_width_y |
|---|
| 229 | |
|---|
| 230 | y = 0.0 |
|---|
| 231 | err_y = 0.0 |
|---|
| 232 | y_counts = 0.0 |
|---|
| 233 | |
|---|
| 234 | for i in range(numpy.size(data2D.data,1)): |
|---|
| 235 | # Min and max x-value for the pixel |
|---|
| 236 | minx = pixel_width_x*(i - center_x) |
|---|
| 237 | maxx = pixel_width_x*(i+1.0 - center_x) |
|---|
| 238 | |
|---|
| 239 | qxmin = get_q(minx, 0.0, det_dist, wavelength) |
|---|
| 240 | qxmax = get_q(maxx, 0.0, det_dist, wavelength) |
|---|
| 241 | |
|---|
| 242 | # Get the count fraction in x for that pixel |
|---|
| 243 | frac_min = get_pixel_fraction_square(self.x_min, qxmin, qxmax) |
|---|
| 244 | frac_max = get_pixel_fraction_square(self.x_max, qxmin, qxmax) |
|---|
| 245 | frac_x = frac_max - frac_min |
|---|
| 246 | |
|---|
| 247 | for j in range(numpy.size(data2D.data,0)): |
|---|
| 248 | # Min and max y-value for the pixel |
|---|
| 249 | miny = pixel_width_y*(j - center_y) |
|---|
| 250 | maxy = pixel_width_y*(j+1.0 - center_y) |
|---|
| 251 | |
|---|
| 252 | qymin = get_q(0.0, miny, det_dist, wavelength) |
|---|
| 253 | qymax = get_q(0.0, maxy, det_dist, wavelength) |
|---|
| 254 | |
|---|
| 255 | # Get the count fraction in x for that pixel |
|---|
| 256 | frac_min = get_pixel_fraction_square(self.y_min, qymin, qymax) |
|---|
| 257 | frac_max = get_pixel_fraction_square(self.y_max, qymin, qymax) |
|---|
| 258 | frac_y = frac_max - frac_min |
|---|
| 259 | |
|---|
| 260 | frac = frac_x * frac_y |
|---|
| 261 | |
|---|
| 262 | y += frac * data2D.data[j][i] |
|---|
| 263 | if data2D.err_data == None or data2D.err_data[j][i]==0.0: |
|---|
| 264 | err_y += frac * frac * math.fabs(data2D.data[j][i]) |
|---|
| 265 | else: |
|---|
| 266 | err_y += frac * frac * data2D.err_data[j][i] * data2D.err_data[j][i] |
|---|
| 267 | y_counts += frac |
|---|
| 268 | |
|---|
| 269 | return y, err_y, y_counts |
|---|
| 270 | |
|---|
| 271 | class Boxavg(Boxsum): |
|---|
| 272 | """ |
|---|
| 273 | Perform the average of counts in a 2D region of interest. |
|---|
| 274 | """ |
|---|
| 275 | def __init__(self, x_min=0.0, x_max=0.0, y_min=0.0, y_max=0.0): |
|---|
| 276 | super(Boxavg, self).__init__(x_min=x_min, x_max=x_max, y_min=y_min, y_max=y_max) |
|---|
| 277 | |
|---|
| 278 | def __call__(self, data2D): |
|---|
| 279 | """ |
|---|
| 280 | Perform the sum in the region of interest |
|---|
| 281 | |
|---|
| 282 | @param data2D: Data2D object |
|---|
| 283 | @return: average counts, error on average counts |
|---|
| 284 | """ |
|---|
| 285 | y, err_y, y_counts = self._sum(data2D) |
|---|
| 286 | |
|---|
| 287 | # Average the sums |
|---|
| 288 | counts = 0 if y_counts==0 else y/y_counts |
|---|
| 289 | error = 0 if y_counts==0 else math.sqrt(err_y)/y_counts |
|---|
| 290 | |
|---|
| 291 | return counts, error |
|---|
| 292 | |
|---|
| 293 | def get_pixel_fraction_square(x, xmin, xmax): |
|---|
| 294 | """ |
|---|
| 295 | Return the fraction of the length |
|---|
| 296 | from xmin to x. |
|---|
| 297 | |
|---|
| 298 | A B |
|---|
| 299 | +-----------+---------+ |
|---|
| 300 | xmin x xmax |
|---|
| 301 | |
|---|
| 302 | @param x: x-value |
|---|
| 303 | @param xmin: minimum x for the length considered |
|---|
| 304 | @param xmax: minimum x for the length considered |
|---|
| 305 | @return: (x-xmin)/(xmax-xmin) when xmin < x < xmax |
|---|
| 306 | |
|---|
| 307 | """ |
|---|
| 308 | if x<=xmin: |
|---|
| 309 | return 0.0 |
|---|
| 310 | if x>xmin and x<xmax: |
|---|
| 311 | return (x-xmin)/(xmax-xmin) |
|---|
| 312 | else: |
|---|
| 313 | return 1.0 |
|---|
| 314 | |
|---|
| 315 | |
|---|
| 316 | class CircularAverage(object): |
|---|
| 317 | """ |
|---|
| 318 | Perform circular averaging on 2D data |
|---|
| 319 | |
|---|
| 320 | The data returned is the distribution of counts |
|---|
| 321 | as a function of Q |
|---|
| 322 | """ |
|---|
| 323 | def __init__(self, r_min=0.0, r_max=0.0, bin_width=0.001): |
|---|
| 324 | # Minimum radius included in the average [A-1] |
|---|
| 325 | self.r_min = r_min |
|---|
| 326 | # Maximum radius included in the average [A-1] |
|---|
| 327 | self.r_max = r_max |
|---|
| 328 | # Bin width (step size) [A-1] |
|---|
| 329 | self.bin_width = bin_width |
|---|
| 330 | |
|---|
| 331 | def __call__(self, data2D): |
|---|
| 332 | """ |
|---|
| 333 | Perform circular averaging on the data |
|---|
| 334 | |
|---|
| 335 | @param data2D: Data2D object |
|---|
| 336 | @return: Data1D object |
|---|
| 337 | """ |
|---|
| 338 | if len(data2D.detector) != 1: |
|---|
| 339 | raise RuntimeError, "Circular averaging: invalid number of detectors: %g" % len(data2D.detector) |
|---|
| 340 | |
|---|
| 341 | pixel_width_x = data2D.detector[0].pixel_size.x |
|---|
| 342 | pixel_width_y = data2D.detector[0].pixel_size.y |
|---|
| 343 | det_dist = data2D.detector[0].distance |
|---|
| 344 | wavelength = data2D.source.wavelength |
|---|
| 345 | center_x = data2D.detector[0].beam_center.x/pixel_width_x |
|---|
| 346 | center_y = data2D.detector[0].beam_center.y/pixel_width_y |
|---|
| 347 | |
|---|
| 348 | # Find out the maximum Q range |
|---|
| 349 | xwidth = numpy.size(data2D.data,1)*pixel_width_x |
|---|
| 350 | dx_max = xwidth - data2D.detector[0].beam_center.x |
|---|
| 351 | if xwidth-dx_max>dx_max: |
|---|
| 352 | dx_max = xwidth-dx_max |
|---|
| 353 | |
|---|
| 354 | ywidth = numpy.size(data2D.data,0)*pixel_width_y |
|---|
| 355 | dy_max = ywidth - data2D.detector[0].beam_center.y |
|---|
| 356 | if ywidth-dy_max>dy_max: |
|---|
| 357 | dy_max = ywidth-dy_max |
|---|
| 358 | |
|---|
| 359 | qmax = get_q(dx_max, dy_max, det_dist, wavelength) |
|---|
| 360 | |
|---|
| 361 | # Build array of Q intervals |
|---|
| 362 | nbins = int(math.ceil((qmax-self.r_min)/self.bin_width)) |
|---|
| 363 | qbins = self.bin_width*numpy.arange(nbins)+self.r_min |
|---|
| 364 | |
|---|
| 365 | x = numpy.zeros(nbins) |
|---|
| 366 | y = numpy.zeros(nbins) |
|---|
| 367 | err_y = numpy.zeros(nbins) |
|---|
| 368 | y_counts = numpy.zeros(nbins) |
|---|
| 369 | |
|---|
| 370 | for i in range(numpy.size(data2D.data,1)): |
|---|
| 371 | dx = pixel_width_x*(i+0.5 - center_x) |
|---|
| 372 | |
|---|
| 373 | # Min and max x-value for the pixel |
|---|
| 374 | minx = pixel_width_x*(i - center_x) |
|---|
| 375 | maxx = pixel_width_x*(i+1.0 - center_x) |
|---|
| 376 | |
|---|
| 377 | for j in range(numpy.size(data2D.data,0)): |
|---|
| 378 | dy = pixel_width_y*(j+0.5 - center_y) |
|---|
| 379 | |
|---|
| 380 | q_value = get_q(dx, dy, det_dist, wavelength) |
|---|
| 381 | |
|---|
| 382 | # Min and max y-value for the pixel |
|---|
| 383 | miny = pixel_width_y*(j - center_y) |
|---|
| 384 | maxy = pixel_width_y*(j+1.0 - center_y) |
|---|
| 385 | |
|---|
| 386 | # Calculate the q-value for each corner |
|---|
| 387 | # q_[x min or max][y min or max] |
|---|
| 388 | q_00 = get_q(minx, miny, det_dist, wavelength) |
|---|
| 389 | q_01 = get_q(minx, maxy, det_dist, wavelength) |
|---|
| 390 | q_10 = get_q(maxx, miny, det_dist, wavelength) |
|---|
| 391 | q_11 = get_q(maxx, maxy, det_dist, wavelength) |
|---|
| 392 | |
|---|
| 393 | # Look for intercept between each side of the pixel |
|---|
| 394 | # and the constant-q ring for qmax |
|---|
| 395 | frac_max = get_pixel_fraction(self.r_max, q_00, q_01, q_10, q_11) |
|---|
| 396 | |
|---|
| 397 | # Look for intercept between each side of the pixel |
|---|
| 398 | # and the constant-q ring for qmin |
|---|
| 399 | frac_min = get_pixel_fraction(self.r_min, q_00, q_01, q_10, q_11) |
|---|
| 400 | |
|---|
| 401 | # We are interested in the region between qmin and qmax |
|---|
| 402 | # therefore the fraction of the surface of the pixel |
|---|
| 403 | # that we will use to calculate the number of counts to |
|---|
| 404 | # include is given by: |
|---|
| 405 | frac = frac_max - frac_min |
|---|
| 406 | |
|---|
| 407 | i_q = int(math.ceil((q_value-self.r_min)/self.bin_width)) - 1 |
|---|
| 408 | |
|---|
| 409 | x[i_q] = q_value |
|---|
| 410 | y[i_q] += frac * data2D.data[j][i] |
|---|
| 411 | if data2D.err_data == None or data2D.err_data[j][i]==0.0: |
|---|
| 412 | err_y[i_q] += frac * frac * math.fabs(data2D.data[j][i]) |
|---|
| 413 | else: |
|---|
| 414 | err_y[i_q] += frac * frac * data2D.err_data[j][i] * data2D.err_data[j][i] |
|---|
| 415 | y_counts[i_q] += frac |
|---|
| 416 | |
|---|
| 417 | # Average the sums |
|---|
| 418 | for i in range(nbins): |
|---|
| 419 | if y_counts[i]>0: |
|---|
| 420 | err_y[i] = math.sqrt(err_y[i])/y_counts[i] |
|---|
| 421 | y[i] = y[i]/y_counts[i] |
|---|
| 422 | |
|---|
| 423 | return Data1D(x=x, y=y, dy=err_y) |
|---|
| 424 | |
|---|
| 425 | |
|---|
| 426 | class Ring(object): |
|---|
| 427 | """ |
|---|
| 428 | Defines a ring on a 2D data set. |
|---|
| 429 | The ring is defined by r_min, r_max, and |
|---|
| 430 | the position of the center of the ring. |
|---|
| 431 | |
|---|
| 432 | The data returned is the distribution of counts |
|---|
| 433 | around the ring as a function of phi. |
|---|
| 434 | |
|---|
| 435 | """ |
|---|
| 436 | |
|---|
| 437 | def __init__(self, r_min=0, r_max=0, center_x=0, center_y=0): |
|---|
| 438 | # Minimum radius |
|---|
| 439 | self.r_min = r_min |
|---|
| 440 | # Maximum radius |
|---|
| 441 | self.r_max = r_max |
|---|
| 442 | # Center of the ring in x |
|---|
| 443 | self.center_x = center_x |
|---|
| 444 | # Center of the ring in y |
|---|
| 445 | self.center_y = center_y |
|---|
| 446 | # Number of angular bins |
|---|
| 447 | self.nbins_phi = 20 |
|---|
| 448 | |
|---|
| 449 | def __call__(self, data2D): |
|---|
| 450 | """ |
|---|
| 451 | Apply the ring to the data set. |
|---|
| 452 | Returns the angular distribution for a given q range |
|---|
| 453 | |
|---|
| 454 | @param data2D: Data2D object |
|---|
| 455 | @return: Data1D object |
|---|
| 456 | """ |
|---|
| 457 | if data2D.__class__.__name__ not in ["Data2D", "plottable_2D"]: |
|---|
| 458 | raise RuntimeError, "Ring averaging only take plottable_2D objects" |
|---|
| 459 | |
|---|
| 460 | data = data2D.data |
|---|
| 461 | qmin = self.r_min |
|---|
| 462 | qmax = self.r_max |
|---|
| 463 | |
|---|
| 464 | if len(data2D.detector) != 1: |
|---|
| 465 | raise RuntimeError, "Ring averaging: invalid number of detectors: %g" % len(data2D.detector) |
|---|
| 466 | pixel_width_x = data2D.detector[0].pixel_size.x |
|---|
| 467 | pixel_width_y = data2D.detector[0].pixel_size.y |
|---|
| 468 | det_dist = data2D.detector[0].distance |
|---|
| 469 | wavelength = data2D.source.wavelength |
|---|
| 470 | #center_x = self.center_x/pixel_width_x |
|---|
| 471 | #center_y = self.center_y/pixel_width_y |
|---|
| 472 | center_x = data2D.detector[0].beam_center.x/pixel_width_x |
|---|
| 473 | center_y = data2D.detector[0].beam_center.y/pixel_width_y |
|---|
| 474 | |
|---|
| 475 | |
|---|
| 476 | phi_bins = numpy.zeros(self.nbins_phi) |
|---|
| 477 | phi_counts = numpy.zeros(self.nbins_phi) |
|---|
| 478 | phi_values = numpy.zeros(self.nbins_phi) |
|---|
| 479 | phi_err = numpy.zeros(self.nbins_phi) |
|---|
| 480 | |
|---|
| 481 | for i in range(numpy.size(data,1)): |
|---|
| 482 | dx = pixel_width_x*(i+0.5 - center_x) |
|---|
| 483 | |
|---|
| 484 | # Min and max x-value for the pixel |
|---|
| 485 | minx = pixel_width_x*(i - center_x) |
|---|
| 486 | maxx = pixel_width_x*(i+1.0 - center_x) |
|---|
| 487 | |
|---|
| 488 | for j in range(numpy.size(data,0)): |
|---|
| 489 | dy = pixel_width_y*(j+0.5 - center_y) |
|---|
| 490 | |
|---|
| 491 | q_value = get_q(dx, dy, det_dist, wavelength) |
|---|
| 492 | |
|---|
| 493 | # Min and max y-value for the pixel |
|---|
| 494 | miny = pixel_width_y*(j - center_y) |
|---|
| 495 | maxy = pixel_width_y*(j+1.0 - center_y) |
|---|
| 496 | |
|---|
| 497 | # Calculate the q-value for each corner |
|---|
| 498 | # q_[x min or max][y min or max] |
|---|
| 499 | q_00 = get_q(minx, miny, det_dist, wavelength) |
|---|
| 500 | q_01 = get_q(minx, maxy, det_dist, wavelength) |
|---|
| 501 | q_10 = get_q(maxx, miny, det_dist, wavelength) |
|---|
| 502 | q_11 = get_q(maxx, maxy, det_dist, wavelength) |
|---|
| 503 | |
|---|
| 504 | # Look for intercept between each side of the pixel |
|---|
| 505 | # and the constant-q ring for qmax |
|---|
| 506 | frac_max = get_pixel_fraction(qmax, q_00, q_01, q_10, q_11) |
|---|
| 507 | |
|---|
| 508 | # Look for intercept between each side of the pixel |
|---|
| 509 | # and the constant-q ring for qmin |
|---|
| 510 | frac_min = get_pixel_fraction(qmin, q_00, q_01, q_10, q_11) |
|---|
| 511 | |
|---|
| 512 | # We are interested in the region between qmin and qmax |
|---|
| 513 | # therefore the fraction of the surface of the pixel |
|---|
| 514 | # that we will use to calculate the number of counts to |
|---|
| 515 | # include is given by: |
|---|
| 516 | |
|---|
| 517 | frac = frac_max - frac_min |
|---|
| 518 | |
|---|
| 519 | i_phi = int(math.ceil(self.nbins_phi*(math.atan2(dy, dx)+math.pi)/(2.0*math.pi))) - 1 |
|---|
| 520 | |
|---|
| 521 | phi_bins[i_phi] += frac * data[j][i] |
|---|
| 522 | |
|---|
| 523 | if data2D.err_data == None or data2D.err_data[j][i]==0.0: |
|---|
| 524 | phi_err[i_phi] += frac * frac * math.fabs(data2D.data[j][i]) |
|---|
| 525 | else: |
|---|
| 526 | phi_err[i_phi] += frac * frac * data2D.err_data[j][i] * data2D.err_data[j][i] |
|---|
| 527 | phi_counts[i_phi] += frac |
|---|
| 528 | |
|---|
| 529 | for i in range(self.nbins_phi): |
|---|
| 530 | phi_bins[i] = phi_bins[i] / phi_counts[i] |
|---|
| 531 | phi_err[i] = math.sqrt(phi_err[i]) / phi_counts[i] |
|---|
| 532 | phi_values[i] = 2.0*math.pi/self.nbins_phi*(1.0*i + 0.5) |
|---|
| 533 | |
|---|
| 534 | return Data1D(x=phi_values, y=phi_bins, dy=phi_err) |
|---|
| 535 | |
|---|
| 536 | def get_pixel_fraction(qmax, q_00, q_01, q_10, q_11): |
|---|
| 537 | """ |
|---|
| 538 | Returns the fraction of the pixel defined by |
|---|
| 539 | the four corners (q_00, q_01, q_10, q_11) that |
|---|
| 540 | has q < qmax. |
|---|
| 541 | |
|---|
| 542 | q_01 q_11 |
|---|
| 543 | y=1 +--------------+ |
|---|
| 544 | | | |
|---|
| 545 | | | |
|---|
| 546 | | | |
|---|
| 547 | y=0 +--------------+ |
|---|
| 548 | q_00 q_01 |
|---|
| 549 | |
|---|
| 550 | x=0 x=1 |
|---|
| 551 | |
|---|
| 552 | """ |
|---|
| 553 | |
|---|
| 554 | # y side for x = minx |
|---|
| 555 | x_0 = get_intercept(qmax, q_00, q_01) |
|---|
| 556 | # y side for x = maxx |
|---|
| 557 | x_1 = get_intercept(qmax, q_10, q_11) |
|---|
| 558 | |
|---|
| 559 | # x side for y = miny |
|---|
| 560 | y_0 = get_intercept(qmax, q_00, q_10) |
|---|
| 561 | # x side for y = maxy |
|---|
| 562 | y_1 = get_intercept(qmax, q_01, q_11) |
|---|
| 563 | |
|---|
| 564 | # surface fraction for a 1x1 pixel |
|---|
| 565 | frac_max = 0 |
|---|
| 566 | |
|---|
| 567 | if x_0 and x_1: |
|---|
| 568 | frac_max = (x_0+x_1)/2.0 |
|---|
| 569 | |
|---|
| 570 | elif y_0 and y_1: |
|---|
| 571 | frac_max = (y_0+y_1)/2.0 |
|---|
| 572 | |
|---|
| 573 | elif x_0 and y_0: |
|---|
| 574 | if q_00 < q_10: |
|---|
| 575 | frac_max = x_0*y_0/2.0 |
|---|
| 576 | else: |
|---|
| 577 | frac_max = 1.0-x_0*y_0/2.0 |
|---|
| 578 | |
|---|
| 579 | elif x_0 and y_1: |
|---|
| 580 | if q_00 < q_10: |
|---|
| 581 | frac_max = x_0*y_1/2.0 |
|---|
| 582 | else: |
|---|
| 583 | frac_max = 1.0-x_0*y_1/2.0 |
|---|
| 584 | |
|---|
| 585 | elif x_1 and y_0: |
|---|
| 586 | if q_00 > q_10: |
|---|
| 587 | frac_max = x_1*y_0/2.0 |
|---|
| 588 | else: |
|---|
| 589 | frac_max = 1.0-x_1*y_0/2.0 |
|---|
| 590 | |
|---|
| 591 | elif x_1 and y_1: |
|---|
| 592 | if q_00 < q_10: |
|---|
| 593 | frac_max = 1.0 - (1.0-x_1)*(1.0-y_1)/2.0 |
|---|
| 594 | else: |
|---|
| 595 | frac_max = (1.0-x_1)*(1.0-y_1)/2.0 |
|---|
| 596 | |
|---|
| 597 | # If we make it here, there is no intercept between |
|---|
| 598 | # this pixel and the constant-q ring. We only need |
|---|
| 599 | # to know if we have to include it or exclude it. |
|---|
| 600 | elif (q_00+q_01+q_10+q_11)/4.0 < qmax: |
|---|
| 601 | frac_max = 1.0 |
|---|
| 602 | |
|---|
| 603 | return frac_max |
|---|
| 604 | |
|---|
| 605 | def get_intercept(q, q_0, q_1): |
|---|
| 606 | """ |
|---|
| 607 | Returns the fraction of the side at which the |
|---|
| 608 | q-value intercept the pixel, None otherwise. |
|---|
| 609 | The values returned is the fraction ON THE SIDE |
|---|
| 610 | OF THE LOWEST Q. |
|---|
| 611 | |
|---|
| 612 | |
|---|
| 613 | |
|---|
| 614 | A B |
|---|
| 615 | +-----------+--------+ |
|---|
| 616 | 0 1 <--- pixel size |
|---|
| 617 | |
|---|
| 618 | Q_0 -------- Q ----- Q_1 <--- equivalent Q range |
|---|
| 619 | |
|---|
| 620 | |
|---|
| 621 | if Q_1 > Q_0, A is returned |
|---|
| 622 | if Q_1 < Q_0, B is returned |
|---|
| 623 | |
|---|
| 624 | if Q is outside the range of [Q_0, Q_1], None is returned |
|---|
| 625 | |
|---|
| 626 | """ |
|---|
| 627 | if q_1 > q_0: |
|---|
| 628 | if (q > q_0 and q <= q_1): |
|---|
| 629 | return (q-q_0)/(q_1 - q_0) |
|---|
| 630 | else: |
|---|
| 631 | if (q > q_1 and q <= q_0): |
|---|
| 632 | return (q-q_1)/(q_0 - q_1) |
|---|
| 633 | return None |
|---|
| 634 | |
|---|
| 635 | #This class can be removed. |
|---|
| 636 | class _Sectorold: |
|---|
| 637 | """ |
|---|
| 638 | Defines a sector region on a 2D data set. |
|---|
| 639 | The sector is defined by r_min, r_max, phi_min, phi_max, |
|---|
| 640 | and the position of the center of the ring. |
|---|
| 641 | Phi is defined between 0 and 2pi |
|---|
| 642 | """ |
|---|
| 643 | def __init__(self, r_min, r_max, phi_min, phi_max,nbins=20): |
|---|
| 644 | self.r_min = r_min |
|---|
| 645 | self.r_max = r_max |
|---|
| 646 | self.phi_min = phi_min |
|---|
| 647 | self.phi_max = phi_max |
|---|
| 648 | self.nbins = nbins |
|---|
| 649 | |
|---|
| 650 | def _agv(self, data2D, run='phi'): |
|---|
| 651 | """ |
|---|
| 652 | Perform sector averaging. |
|---|
| 653 | |
|---|
| 654 | @param data2D: Data2D object |
|---|
| 655 | @param run: define the varying parameter ('phi' or 'q') |
|---|
| 656 | @return: Data1D object |
|---|
| 657 | """ |
|---|
| 658 | if data2D.__class__.__name__ not in ["Data2D", "plottable_2D"]: |
|---|
| 659 | raise RuntimeError, "Ring averaging only take plottable_2D objects" |
|---|
| 660 | |
|---|
| 661 | data = data2D.data |
|---|
| 662 | qmax = self.r_max |
|---|
| 663 | qmin = self.r_min |
|---|
| 664 | |
|---|
| 665 | if len(data2D.detector) != 1: |
|---|
| 666 | raise RuntimeError, "Ring averaging: invalid number of detectors: %g" % len(data2D.detector) |
|---|
| 667 | pixel_width_x = data2D.detector[0].pixel_size.x |
|---|
| 668 | pixel_width_y = data2D.detector[0].pixel_size.y |
|---|
| 669 | det_dist = data2D.detector[0].distance |
|---|
| 670 | wavelength = data2D.source.wavelength |
|---|
| 671 | center_x = data2D.detector[0].beam_center.x/pixel_width_x |
|---|
| 672 | center_y = data2D.detector[0].beam_center.y/pixel_width_y |
|---|
| 673 | |
|---|
| 674 | y = numpy.zeros(self.nbins) |
|---|
| 675 | y_counts = numpy.zeros(self.nbins) |
|---|
| 676 | x = numpy.zeros(self.nbins) |
|---|
| 677 | y_err = numpy.zeros(self.nbins) |
|---|
| 678 | |
|---|
| 679 | for i in range(numpy.size(data,1)): |
|---|
| 680 | dx = pixel_width_x*(i+0.5 - center_x) |
|---|
| 681 | |
|---|
| 682 | # Min and max x-value for the pixel |
|---|
| 683 | minx = pixel_width_x*(i - center_x) |
|---|
| 684 | maxx = pixel_width_x*(i+1.0 - center_x) |
|---|
| 685 | |
|---|
| 686 | for j in range(numpy.size(data,0)): |
|---|
| 687 | dy = pixel_width_y*(j+0.5 - center_y) |
|---|
| 688 | |
|---|
| 689 | q_value = get_q(dx, dy, det_dist, wavelength) |
|---|
| 690 | |
|---|
| 691 | # Min and max y-value for the pixel |
|---|
| 692 | miny = pixel_width_y*(j - center_y) |
|---|
| 693 | maxy = pixel_width_y*(j+1.0 - center_y) |
|---|
| 694 | |
|---|
| 695 | # Calculate the q-value for each corner |
|---|
| 696 | # q_[x min or max][y min or max] |
|---|
| 697 | q_00 = get_q(minx, miny, det_dist, wavelength) |
|---|
| 698 | q_01 = get_q(minx, maxy, det_dist, wavelength) |
|---|
| 699 | q_10 = get_q(maxx, miny, det_dist, wavelength) |
|---|
| 700 | q_11 = get_q(maxx, maxy, det_dist, wavelength) |
|---|
| 701 | |
|---|
| 702 | # Look for intercept between each side of the pixel |
|---|
| 703 | # and the constant-q ring for qmax |
|---|
| 704 | frac_max = get_pixel_fraction(qmax, q_00, q_01, q_10, q_11) |
|---|
| 705 | |
|---|
| 706 | # Look for intercept between each side of the pixel |
|---|
| 707 | # and the constant-q ring for qmin |
|---|
| 708 | frac_min = get_pixel_fraction(qmin, q_00, q_01, q_10, q_11) |
|---|
| 709 | |
|---|
| 710 | # We are interested in the region between qmin and qmax |
|---|
| 711 | # therefore the fraction of the surface of the pixel |
|---|
| 712 | # that we will use to calculate the number of counts to |
|---|
| 713 | # include is given by: |
|---|
| 714 | |
|---|
| 715 | frac = frac_max - frac_min |
|---|
| 716 | |
|---|
| 717 | # Compute phi and check whether it's within the limits |
|---|
| 718 | phi_value=math.atan2(dy,dx)+math.pi |
|---|
| 719 | # if phi_value<self.phi_min or phi_value>self.phi_max: |
|---|
| 720 | if phi_value<self.phi_min or phi_value>self.phi_max: |
|---|
| 721 | continue |
|---|
| 722 | |
|---|
| 723 | # Check which type of averaging we need |
|---|
| 724 | if run.lower()=='phi': |
|---|
| 725 | i_bin = int(math.ceil(self.nbins*(phi_value-self.phi_min)/(self.phi_max-self.phi_min))) - 1 |
|---|
| 726 | else: |
|---|
| 727 | # If we don't need this pixel, skip the rest of the work |
|---|
| 728 | #TODO: an improvement here would be to compute the average |
|---|
| 729 | # Q for the pixel from the part that is covered by |
|---|
| 730 | # the ring defined by q_min/q_max rather than the complete |
|---|
| 731 | # pixel |
|---|
| 732 | if q_value<self.r_min or q_value>self.r_max: |
|---|
| 733 | continue |
|---|
| 734 | i_bin = int(math.ceil(self.nbins*(q_value-self.r_min)/(self.r_max-self.r_min))) - 1 |
|---|
| 735 | |
|---|
| 736 | try: |
|---|
| 737 | y[i_bin] += frac * data[j][i] |
|---|
| 738 | except: |
|---|
| 739 | import sys |
|---|
| 740 | print sys.exc_value |
|---|
| 741 | print i_bin, frac |
|---|
| 742 | |
|---|
| 743 | if data2D.err_data == None or data2D.err_data[j][i]==0.0: |
|---|
| 744 | y_err[i_bin] += frac * frac * math.fabs(data2D.data[j][i]) |
|---|
| 745 | else: |
|---|
| 746 | y_err[i_bin] += frac * frac * data2D.err_data[j][i] * data2D.err_data[j][i] |
|---|
| 747 | y_counts[i_bin] += frac |
|---|
| 748 | |
|---|
| 749 | for i in range(self.nbins): |
|---|
| 750 | y[i] = y[i] / y_counts[i] |
|---|
| 751 | y_err[i] = math.sqrt(y_err[i]) / y_counts[i] |
|---|
| 752 | # Check which type of averaging we need |
|---|
| 753 | if run.lower()=='phi': |
|---|
| 754 | x[i] = (self.phi_max-self.phi_min)/self.nbins*(1.0*i + 0.5)+self.phi_min |
|---|
| 755 | else: |
|---|
| 756 | x[i] = (self.r_max-self.r_min)/self.nbins*(1.0*i + 0.5)+self.r_min |
|---|
| 757 | |
|---|
| 758 | return Data1D(x=x, y=y, dy=y_err) |
|---|
| 759 | |
|---|
| 760 | class _Sector: |
|---|
| 761 | """ |
|---|
| 762 | Defines a sector region on a 2D data set. |
|---|
| 763 | The sector is defined by r_min, r_max, phi_min, phi_max, |
|---|
| 764 | and the position of the center of the ring |
|---|
| 765 | where phi_min and phi_max are defined by the right and left lines wrt central line |
|---|
| 766 | and phi_max could be less than phi_min. |
|---|
| 767 | |
|---|
| 768 | Phi is defined between 0 and 2pi |
|---|
| 769 | """ |
|---|
| 770 | def __init__(self, r_min, r_max, phi_min, phi_max,nbins=20): |
|---|
| 771 | self.r_min = r_min |
|---|
| 772 | self.r_max = r_max |
|---|
| 773 | self.phi_min = phi_min |
|---|
| 774 | self.phi_max = phi_max |
|---|
| 775 | self.nbins = nbins |
|---|
| 776 | |
|---|
| 777 | def _agv(self, data2D, run='phi'): |
|---|
| 778 | """ |
|---|
| 779 | Perform sector averaging. |
|---|
| 780 | |
|---|
| 781 | @param data2D: Data2D object |
|---|
| 782 | @param run: define the varying parameter ('phi' or 'q') |
|---|
| 783 | @return: Data1D object |
|---|
| 784 | """ |
|---|
| 785 | if data2D.__class__.__name__ not in ["Data2D", "plottable_2D"]: |
|---|
| 786 | raise RuntimeError, "Ring averaging only take plottable_2D objects" |
|---|
| 787 | |
|---|
| 788 | data = data2D.data |
|---|
| 789 | qmax = self.r_max |
|---|
| 790 | qmin = self.r_min |
|---|
| 791 | |
|---|
| 792 | if len(data2D.detector) != 1: |
|---|
| 793 | raise RuntimeError, "Ring averaging: invalid number of detectors: %g" % len(data2D.detector) |
|---|
| 794 | pixel_width_x = data2D.detector[0].pixel_size.x |
|---|
| 795 | pixel_width_y = data2D.detector[0].pixel_size.y |
|---|
| 796 | det_dist = data2D.detector[0].distance |
|---|
| 797 | wavelength = data2D.source.wavelength |
|---|
| 798 | center_x = data2D.detector[0].beam_center.x/pixel_width_x |
|---|
| 799 | center_y = data2D.detector[0].beam_center.y/pixel_width_y |
|---|
| 800 | |
|---|
| 801 | y = numpy.zeros(self.nbins) |
|---|
| 802 | y_counts = numpy.zeros(self.nbins) |
|---|
| 803 | x = numpy.zeros(self.nbins) |
|---|
| 804 | y_err = numpy.zeros(self.nbins) |
|---|
| 805 | |
|---|
| 806 | # This If finds qmax within ROI defined by sector lines |
|---|
| 807 | temp=0 #to find qmax within ROI or phimax and phimin |
|---|
| 808 | temp0=1000000 |
|---|
| 809 | temp1=0 |
|---|
| 810 | for i in range(numpy.size(data,1)): |
|---|
| 811 | dx = pixel_width_x*(i+0.5 - center_x) |
|---|
| 812 | for j in range(numpy.size(data,0)): |
|---|
| 813 | |
|---|
| 814 | dy = pixel_width_y*(j+0.5 - center_y) |
|---|
| 815 | q_value = get_q(dx, dy, det_dist, wavelength) |
|---|
| 816 | # Compute phi and check whether it's within the limits |
|---|
| 817 | phi_value=math.atan2(dy,dx)+math.pi |
|---|
| 818 | if self.phi_max>2*math.pi: |
|---|
| 819 | self.phi_max=self.phi_max-2*math.pi |
|---|
| 820 | if self.phi_min<0: |
|---|
| 821 | self.phi_max=self.phi_max+2*math.pi |
|---|
| 822 | |
|---|
| 823 | #In case of two ROI (symmetric major and minor regions)(for 'q2') |
|---|
| 824 | if run.lower()=='q2': |
|---|
| 825 | if ((self.phi_max>=0 and self.phi_max<math.pi)and (self.phi_min>=0 and self.phi_min<math.pi)): |
|---|
| 826 | temp_max=self.phi_max+math.pi |
|---|
| 827 | temp_min=self.phi_min+math.pi |
|---|
| 828 | else: |
|---|
| 829 | temp_max=self.phi_max |
|---|
| 830 | temp_min=self.phi_min |
|---|
| 831 | |
|---|
| 832 | if ((temp_max>=math.pi and temp_max<2*math.pi)and (temp_min>=math.pi and temp_min<2*math.pi)): |
|---|
| 833 | if (phi_value<temp_min or phi_value>temp_max): |
|---|
| 834 | if (phi_value<temp_min-math.pi or phi_value>temp_max-math.pi): |
|---|
| 835 | continue |
|---|
| 836 | if (self.phi_max<self.phi_min): |
|---|
| 837 | tmp_max=self.phi_max+math.pi |
|---|
| 838 | tmp_min=self.phi_min-math.pi |
|---|
| 839 | else: |
|---|
| 840 | tmp_max=self.phi_max |
|---|
| 841 | tmp_min=self.phi_min |
|---|
| 842 | if (tmp_min<math.pi and tmp_max>math.pi): |
|---|
| 843 | if((phi_value>tmp_max and phi_value<tmp_min+math.pi)or (phi_value>tmp_max-math.pi and phi_value<tmp_min)): |
|---|
| 844 | continue |
|---|
| 845 | #In case of one ROI (major only)(i.e.,for 'q' and 'phi') |
|---|
| 846 | elif run.lower()=='phi': |
|---|
| 847 | if q_value<qmin or q_value>qmax: |
|---|
| 848 | continue |
|---|
| 849 | else: |
|---|
| 850 | if (self.phi_max>=self.phi_min): |
|---|
| 851 | if (phi_value<self.phi_min or phi_value>self.phi_max): |
|---|
| 852 | continue |
|---|
| 853 | else: |
|---|
| 854 | if (phi_value<self.phi_min and phi_value>self.phi_max): |
|---|
| 855 | continue |
|---|
| 856 | if run.lower()=='phi': |
|---|
| 857 | if temp1<phi_value: |
|---|
| 858 | temp1=phi_value |
|---|
| 859 | if temp0>phi_value: |
|---|
| 860 | temp0=phi_value |
|---|
| 861 | elif temp<q_value: |
|---|
| 862 | temp=q_value |
|---|
| 863 | if run.lower()=='phi': |
|---|
| 864 | self.phi_max=temp1 |
|---|
| 865 | self.phi_min=temp0 |
|---|
| 866 | else: |
|---|
| 867 | qmax=temp |
|---|
| 868 | |
|---|
| 869 | for i in range(numpy.size(data,1)): |
|---|
| 870 | dx = pixel_width_x*(i+0.5 - center_x) |
|---|
| 871 | |
|---|
| 872 | # Min and max x-value for the pixel |
|---|
| 873 | minx = pixel_width_x*(i - center_x) |
|---|
| 874 | maxx = pixel_width_x*(i+1.0 - center_x) |
|---|
| 875 | |
|---|
| 876 | for j in range(numpy.size(data,0)): |
|---|
| 877 | dy = pixel_width_y*(j+0.5 - center_y) |
|---|
| 878 | |
|---|
| 879 | q_value = get_q(dx, dy, det_dist, wavelength) |
|---|
| 880 | |
|---|
| 881 | # Min and max y-value for the pixel |
|---|
| 882 | miny = pixel_width_y*(j - center_y) |
|---|
| 883 | maxy = pixel_width_y*(j+1.0 - center_y) |
|---|
| 884 | |
|---|
| 885 | # Calculate the q-value for each corner |
|---|
| 886 | # q_[x min or max][y min or max] |
|---|
| 887 | q_00 = get_q(minx, miny, det_dist, wavelength) |
|---|
| 888 | q_01 = get_q(minx, maxy, det_dist, wavelength) |
|---|
| 889 | q_10 = get_q(maxx, miny, det_dist, wavelength) |
|---|
| 890 | q_11 = get_q(maxx, maxy, det_dist, wavelength) |
|---|
| 891 | |
|---|
| 892 | # Compute phi and check whether it's within the limits |
|---|
| 893 | phi_value=math.atan2(dy,dx)+math.pi |
|---|
| 894 | if self.phi_max>2*math.pi: |
|---|
| 895 | self.phi_max=self.phi_max-2*math.pi |
|---|
| 896 | if self.phi_min<0: |
|---|
| 897 | self.phi_max=self.phi_max+2*math.pi |
|---|
| 898 | |
|---|
| 899 | # Look for intercept between each side of the pixel |
|---|
| 900 | # and the constant-q ring for qmax |
|---|
| 901 | frac_max = get_pixel_fraction(qmax, q_00, q_01, q_10, q_11) |
|---|
| 902 | |
|---|
| 903 | # Look for intercept between each side of the pixel |
|---|
| 904 | # and the constant-q ring for qmin |
|---|
| 905 | frac_min = get_pixel_fraction(qmin, q_00, q_01, q_10, q_11) |
|---|
| 906 | |
|---|
| 907 | # We are interested in the region between qmin and qmax |
|---|
| 908 | # therefore the fraction of the surface of the pixel |
|---|
| 909 | # that we will use to calculate the number of counts to |
|---|
| 910 | # include is given by: |
|---|
| 911 | |
|---|
| 912 | frac = frac_max - frac_min |
|---|
| 913 | |
|---|
| 914 | #In case of two ROI (symmetric major and minor regions)(for 'q2') |
|---|
| 915 | if run.lower()=='q2': |
|---|
| 916 | if ((self.phi_max>=0 and self.phi_max<math.pi)and (self.phi_min>=0 and self.phi_min<math.pi)): |
|---|
| 917 | temp_max=self.phi_max+math.pi |
|---|
| 918 | temp_min=self.phi_min+math.pi |
|---|
| 919 | else: |
|---|
| 920 | temp_max=self.phi_max |
|---|
| 921 | temp_min=self.phi_min |
|---|
| 922 | |
|---|
| 923 | if ((temp_max>=math.pi and temp_max<2*math.pi)and (temp_min>=math.pi and temp_min<2*math.pi)): |
|---|
| 924 | if (phi_value<temp_min or phi_value>temp_max): |
|---|
| 925 | if (phi_value<temp_min-math.pi or phi_value>temp_max-math.pi): |
|---|
| 926 | continue |
|---|
| 927 | if (self.phi_max<self.phi_min): |
|---|
| 928 | tmp_max=self.phi_max+math.pi |
|---|
| 929 | tmp_min=self.phi_min-math.pi |
|---|
| 930 | else: |
|---|
| 931 | tmp_max=self.phi_max |
|---|
| 932 | tmp_min=self.phi_min |
|---|
| 933 | if (tmp_min<math.pi and tmp_max>math.pi): |
|---|
| 934 | if((phi_value>tmp_max and phi_value<tmp_min+math.pi)or (phi_value>tmp_max-math.pi and phi_value<tmp_min)): |
|---|
| 935 | continue |
|---|
| 936 | #In case of one ROI (major only)(i.e.,for 'q' and 'phi') |
|---|
| 937 | else: |
|---|
| 938 | if (self.phi_max>=self.phi_min): |
|---|
| 939 | if (phi_value<self.phi_min or phi_value>self.phi_max): |
|---|
| 940 | continue |
|---|
| 941 | else: |
|---|
| 942 | if (phi_value<self.phi_min and phi_value>self.phi_max): |
|---|
| 943 | continue |
|---|
| 944 | #print "qmax=",qmax,qmin |
|---|
| 945 | |
|---|
| 946 | if q_value<qmin or q_value>qmax: |
|---|
| 947 | continue |
|---|
| 948 | |
|---|
| 949 | # Check which type of averaging we need |
|---|
| 950 | if run.lower()=='phi': |
|---|
| 951 | i_bin = int(math.ceil(self.nbins*(phi_value-self.phi_min)/(self.phi_max-self.phi_min))) - 1 |
|---|
| 952 | else: |
|---|
| 953 | # If we don't need this pixel, skip the rest of the work |
|---|
| 954 | #TODO: an improvement here would be to compute the average |
|---|
| 955 | # Q for the pixel from the part that is covered by |
|---|
| 956 | # the ring defined by q_min/q_max rather than the complete |
|---|
| 957 | # pixel |
|---|
| 958 | i_bin = int(math.ceil(self.nbins*(q_value-qmin)/(qmax-qmin))) - 1 |
|---|
| 959 | |
|---|
| 960 | try: |
|---|
| 961 | y[i_bin] += frac * data[j][i] |
|---|
| 962 | except: |
|---|
| 963 | import sys |
|---|
| 964 | print sys.exc_value |
|---|
| 965 | print i_bin, frac |
|---|
| 966 | |
|---|
| 967 | if data2D.err_data == None or data2D.err_data[j][i]==0.0: |
|---|
| 968 | y_err[i_bin] += frac * frac * math.fabs(data2D.data[j][i]) |
|---|
| 969 | else: |
|---|
| 970 | y_err[i_bin] += frac * frac * data2D.err_data[j][i] * data2D.err_data[j][i] |
|---|
| 971 | y_counts[i_bin] += frac |
|---|
| 972 | |
|---|
| 973 | for i in range(self.nbins): |
|---|
| 974 | y[i] = y[i] / y_counts[i] |
|---|
| 975 | y_err[i] = math.sqrt(y_err[i]) / y_counts[i] |
|---|
| 976 | # Check which type of averaging we need |
|---|
| 977 | if run.lower()=='phi': |
|---|
| 978 | x[i] = (self.phi_max-self.phi_min)/self.nbins*(1.0*i + 0.5)+self.phi_min |
|---|
| 979 | else: |
|---|
| 980 | x[i] = (qmax-qmin)/self.nbins*(1.0*i + 0.5)+qmin |
|---|
| 981 | |
|---|
| 982 | return Data1D(x=x, y=y, dy=y_err) |
|---|
| 983 | |
|---|
| 984 | class SectorPhi(_Sector): |
|---|
| 985 | """ |
|---|
| 986 | Sector average as a function of phi. |
|---|
| 987 | I(phi) is return and the data is averaged over Q. |
|---|
| 988 | |
|---|
| 989 | A sector is defined by r_min, r_max, phi_min, phi_max. |
|---|
| 990 | The number of bin in phi also has to be defined. |
|---|
| 991 | """ |
|---|
| 992 | def __call__(self, data2D): |
|---|
| 993 | """ |
|---|
| 994 | Perform sector average and return I(phi). |
|---|
| 995 | |
|---|
| 996 | @param data2D: Data2D object |
|---|
| 997 | @return: Data1D object |
|---|
| 998 | """ |
|---|
| 999 | return self._agv(data2D, 'phi') |
|---|
| 1000 | |
|---|
| 1001 | class SectorQold(_Sector): |
|---|
| 1002 | """ |
|---|
| 1003 | Sector average as a function of Q. |
|---|
| 1004 | I(Q) is return and the data is averaged over phi. |
|---|
| 1005 | |
|---|
| 1006 | A sector is defined by r_min, r_max, phi_min, phi_max. |
|---|
| 1007 | The number of bin in Q also has to be defined. |
|---|
| 1008 | """ |
|---|
| 1009 | def __call__(self, data2D): |
|---|
| 1010 | """ |
|---|
| 1011 | Perform sector average and return I(Q). |
|---|
| 1012 | |
|---|
| 1013 | @param data2D: Data2D object |
|---|
| 1014 | @return: Data1D object |
|---|
| 1015 | """ |
|---|
| 1016 | return self._agv(data2D, 'q') |
|---|
| 1017 | |
|---|
| 1018 | class SectorQ(_Sector): |
|---|
| 1019 | """ |
|---|
| 1020 | Sector average as a function of Q for both symatric wings. |
|---|
| 1021 | I(Q) is return and the data is averaged over phi. |
|---|
| 1022 | |
|---|
| 1023 | A sector is defined by r_min, r_max, phi_min, phi_max. |
|---|
| 1024 | r_min, r_max, phi_min, phi_max >0. |
|---|
| 1025 | The number of bin in Q also has to be defined. |
|---|
| 1026 | """ |
|---|
| 1027 | def __call__(self, data2D): |
|---|
| 1028 | """ |
|---|
| 1029 | Perform sector average and return I(Q). |
|---|
| 1030 | |
|---|
| 1031 | @param data2D: Data2D object |
|---|
| 1032 | @return: Data1D object |
|---|
| 1033 | """ |
|---|
| 1034 | return self._agv(data2D, 'q2') |
|---|
| 1035 | if __name__ == "__main__": |
|---|
| 1036 | |
|---|
| 1037 | from loader import Loader |
|---|
| 1038 | |
|---|
| 1039 | |
|---|
| 1040 | d = Loader().load('test/MAR07232_rest.ASC') |
|---|
| 1041 | #d = Loader().load('test/MP_New.sans') |
|---|
| 1042 | |
|---|
| 1043 | |
|---|
| 1044 | r = SectorQ(r_min=.000001, r_max=.01, phi_min=0.0, phi_max=math.pi/2.0) |
|---|
| 1045 | o = r(d) |
|---|
| 1046 | |
|---|
| 1047 | s = Ring(r_min=.005, r_max=.01) |
|---|
| 1048 | p = s(d) |
|---|
| 1049 | |
|---|
| 1050 | for i in range(len(o.x)): |
|---|
| 1051 | print o.x[i], o.y[i], o.dy[i] |
|---|
| 1052 | |
|---|
| 1053 | |
|---|
| 1054 | |
|---|
