Changeset bdd162f in sasview
- Timestamp:
- Feb 21, 2010 3:03:59 PM (15 years ago)
- Branches:
- master, ESS_GUI, ESS_GUI_Docs, ESS_GUI_batch_fitting, ESS_GUI_bumps_abstraction, ESS_GUI_iss1116, ESS_GUI_iss879, ESS_GUI_iss959, ESS_GUI_opencl, ESS_GUI_ordering, ESS_GUI_sync_sascalc, costrafo411, magnetic_scatt, release-4.1.1, release-4.1.2, release-4.2.2, release_4.0.1, ticket-1009, ticket-1094-headless, ticket-1242-2d-resolution, ticket-1243, ticket-1249, ticket885, unittest-saveload
- Children:
- e847a42
- Parents:
- d361b462
- Location:
- Invariant
- Files:
-
- 1 added
- 3 edited
Legend:
- Unmodified
- Added
- Removed
-
Invariant/invariant.py
r1702180 rbdd162f 2 2 This module implements invariant and its related computations. 3 3 @author: Gervaise B. Alina/UTK 4 5 6 TODO: 7 - intro / documentation 8 - add unit tests for sufrace/volume computation with and without extrapolation. 9 - replace the get_extra_data_* methods 4 10 """ 5 #TODO: Need to decide if/how to use smearing for extrapolation6 11 import math 7 12 import numpy 8 13 9 14 from DataLoader.data_info import Data1D as LoaderData1D 10 from DataLoader.qsmearing import smear_selection11 15 12 16 # The minimum q-value to be used when extrapolating … … 37 41 dy = data.dy 38 42 else: 39 #dy = numpy.array([math.sqrt(math.fabs(j)) for j in data.y]) 40 dy = numpy.array([1 for j in data.y]) 41 # Transform smear info 42 dxl_out = None 43 dxw_out = None 44 dx_out = None 45 first_x = data.x#[0] 46 #if first_x == 0: 47 # first_x = data.x[1] 48 49 43 dy = numpy.ones(len(data.y)) 44 45 # Transform the data 50 46 data_points = zip(data.x, data.y, dy) 51 52 # Transform the data 47 53 48 output_points = [(self.linearize_q_value(p[0]), 54 49 math.log(p[1]), 55 p[2]/p[1]) for p in data_points if p[0]>0 and p[1]>0 ]50 p[2]/p[1]) for p in data_points if p[0]>0 and p[1]>0 and p[2]>0] 56 51 57 52 x_out, y_out, dy_out = zip(*output_points) 58 53 59 #Transform smear info 60 if data.dxl is not None and len(data.dxl)>0: 61 dxl_out = self.linearize_dq_value(x=x_out, dx=data.dxl[:len(x_out)]) 62 if data.dxw is not None and len(data.dxw)>0: 63 dxw_out = self.linearize_dq_value(x=x_out, dx=data.dxw[:len(x_out)]) 64 if data.dx is not None and len(data.dx)>0: 65 dx_out = self.linearize_dq_value(x=x_out, dx=data.dx[:len(x_out)]) 54 # Create Data1D object 66 55 x_out = numpy.asarray(x_out) 67 56 y_out = numpy.asarray(y_out) 68 57 dy_out = numpy.asarray(dy_out) 69 linear_data = LoaderData1D(x=x_out, y=y_out, dx=dx_out, dy=dy_out) 70 linear_data.dxl = dxl_out 71 linear_data.dxw = dxw_out 58 linear_data = LoaderData1D(x=x_out, y=y_out, dy=dy_out) 72 59 73 60 return linear_data 74 def linearize_dq_value(self, x, dx): 75 """ 76 Transform the input dq-value for linearization 61 62 def get_allowed_bins(self, data): 63 """ 64 Goes through the data points and returns a list of boolean values 65 to indicate whether each points is allowed by the model or not. 66 67 @param data: Data1D object 68 """ 69 return [p[0]>0 and p[1]>0 and p[2]>0 for p in zip(data.x, data.y, data.dy)] 70 71 def linearize_q_value(self, value): 72 """ 73 Transform the input q-value for linearization 77 74 """ 78 75 return NotImplemented 79 76 80 def linearize_q_value(self, value): 81 """ 82 Transform the input q-value for linearization 83 """ 84 return NotImplemented 85 86 def extract_model_parameters(self, a, b): 77 def extract_model_parameters(self, constant, slope, dconstant=0, dslope=0): 87 78 """ 88 79 set private member … … 93 84 """ 94 85 Returns an array f(x) values where f is the Transform function. 86 """ 87 return NotImplemented 88 89 def evaluate_model_errors(self, x): 90 """ 91 Returns an array of I(q) errors 95 92 """ 96 93 return NotImplemented … … 105 102 self.scale = scale 106 103 self.radius = radius 107 108 def linearize_dq_value(self, x, dx): 109 """ 110 Transform the input dq-value for linearization 111 """ 112 return numpy.array([2*x[0]*dx[0] for i in xrange(len(x))]) 113 104 ## Uncertainty of scale parameter 105 self.dscale = 0 106 ## Unvertainty of radius parameter 107 self.dradius = 0 108 114 109 def linearize_q_value(self, value): 115 110 """ … … 120 115 return value * value 121 116 122 def extract_model_parameters(self, a, b):117 def extract_model_parameters(self, constant, slope, dconstant=0, dslope=0): 123 118 """ 124 119 assign new value to the scale and the radius 125 120 """ 126 b = math.sqrt(-3 * b) 127 a = math.exp(a) 128 self.scale = a 129 self.radius = b 130 return a, b 121 self.scale = math.exp(constant) 122 self.radius = math.sqrt(-3 * slope) 123 124 # Errors 125 self.dscale = math.exp(constant)*dconstant 126 self.dradius = -3.0/2.0/math.sqrt(-3 * slope)*dslope 131 127 132 128 def evaluate_model(self, x): … … 135 131 """ 136 132 return self._guinier(x) 133 134 def evaluate_model_errors(self, x): 135 """ 136 Returns the error on I(q) for the given array of q-values 137 @param x: array of q-values 138 """ 139 p1 = numpy.array([self.dscale * math.exp(-((self.radius * q)**2/3)) for q in x]) 140 p2 = numpy.array([self.scale * math.exp(-((self.radius * q)**2/3)) * (-(q**2/3)) * 2 * self.radius * self.dradius for q in x]) 141 diq2 = p1*p1 + p2*p2 142 return numpy.array( [math.sqrt(err) for err in diq2] ) 137 143 138 144 def _guinier(self, x): … … 163 169 self.power = power 164 170 165 def linearize_dq_value(self, x, dx):166 """167 Transform the input dq-value for linearization168 """169 return numpy.array([dx[0]/x[0] for i in xrange(len(x))])170 171 171 def linearize_q_value(self, value): 172 172 """ … … 177 177 return math.log(value) 178 178 179 def extract_model_parameters(self, a, b):179 def extract_model_parameters(self, constant, slope, dconstant=0, dslope=0): 180 180 """ 181 181 Assign new value to the scale and the power 182 182 """ 183 b = -1 * b 184 a = math.exp(a) 185 self.power = b 186 self.scale = a 187 return a, b 183 self.power = -slope 184 self.scale = math.exp(constant) 185 186 # Errors 187 self.dscale = math.exp(constant)*dconstant 188 self.dradius = -dslope 188 189 189 190 def evaluate_model(self, x): … … 193 194 """ 194 195 return self._power_law(x) 196 197 def evaluate_model_errors(self, x): 198 """ 199 Returns the error on I(q) for the given array of q-values 200 @param x: array of q-values 201 """ 202 p1 = numpy.array([self.dscale * math.pow(q, -self.power) for q in x]) 203 p2 = numpy.array([self.scale * self.power * math.pow(q, -self.power-1) * self.dradius for q in x]) 204 diq2 = p1*p1 + p2*p2 205 return numpy.array( [math.sqrt(err) for err in diq2] ) 195 206 196 207 def _power_law(self, x): … … 217 228 Extrapolate I(q) distribution using a given model 218 229 """ 219 def __init__(self, data ):230 def __init__(self, data, model=None): 220 231 """ 221 232 Determine a and b given a linear equation y = ax + b 222 @param Data: data containing x and y such as y = ax + b 233 234 If a model is given, it will be used to linearize the data before 235 the extrapolation is performed. If None, a simple linear fit will be done. 236 237 @param data: data containing x and y such as y = ax + b 238 @param model: optional Transform object 223 239 """ 224 240 self.data = data 241 self.model = model 225 242 226 243 # Set qmin as the lowest non-zero value … … 231 248 break 232 249 self.qmax = max(self.data.x) 233 234 #get the smear object of data 235 self.smearer = smear_selection(self.data) 236 # Set the q-range information to allow smearing 237 self.set_fit_range() 238 239 def set_fit_range(self, qmin=None, qmax=None): 240 """ to set the fit range""" 241 if qmin is not None: 242 self.qmin = qmin 243 if qmax is not None: 244 self.qmax = qmax 245 246 # Determine the range needed in unsmeared-Q to cover 247 # the smeared Q range 248 self._qmin_unsmeared = self.qmin 249 self._qmax_unsmeared = self.qmax 250 251 if self.smearer is not None: 252 self._first_unsmeared_bin, self._last_unsmeared_bin = self.smearer.get_bin_range(self.qmin, self.qmax) 253 self._qmin_unsmeared = self.data.x[self._first_unsmeared_bin] 254 self._qmax_unsmeared = self.data.x[self._last_unsmeared_bin] 255 256 # Identify the bin range for the unsmeared and smeared spaces 257 self.idx = (self.data.x >= self.qmin) & (self.data.x <= self.qmax) 258 self.idx_unsmeared = (self.data.x >= self._qmin_unsmeared) \ 259 & (self.data.x <= self._qmax_unsmeared) 260 261 def fit(self, power=None): 250 251 def fit(self, power=None, qmin=None, qmax=None): 262 252 """ 263 253 Fit data for y = ax + b return a and b 264 @param power = a fixed, otherwise None 265 """ 254 @param power: a fixed, otherwise None 255 @param qmin: Minimum Q-value 256 @param qmax: Maximum Q-value 257 """ 258 if qmin is None: 259 qmin = self.qmin 260 if qmax is None: 261 qmax = self.qmax 262 263 # Identify the bin range for the fit 264 idx = (self.data.x >= qmin) & (self.data.x <= qmax) 265 266 266 fx = numpy.zeros(len(self.data.x)) 267 267 268 269 if type(self.data.dy)==numpy.ndarray and len(self.data.dy)==len(self.data.x) and self.data.dy[0] != 0:268 # Uncertainty 269 if type(self.data.dy)==numpy.ndarray and len(self.data.dy)==len(self.data.x): 270 270 sigma = self.data.dy 271 271 else: … … 273 273 274 274 # Compute theory data f(x) 275 fx[self.idx_unsmeared] = self.data.y[self.idx_unsmeared] 276 ## Smear theory data 277 if self.smearer is not None: 278 fx = self.smearer(fx, self._first_unsmeared_bin,self._last_unsmeared_bin) 279 280 fx[self.idx_unsmeared] = fx[self.idx_unsmeared]/sigma[self.idx_unsmeared] 275 fx[idx] = self.data.y[idx] 276 277 # Linearize the data 278 if self.model is not None: 279 linearized_data = self.model.linearize_data(LoaderData1D(self.data.x[idx], 280 fx[idx], 281 dy = sigma[idx])) 282 else: 283 linearized_data = LoaderData1D(self.data.x[idx], 284 fx[idx], 285 dy = sigma[idx]) 281 286 282 287 ##power is given only for function = power_law 283 288 if power != None: 284 sigma2 = sigma * sigma289 sigma2 = linearized_data.dy * linearized_data.dy 285 290 a = -(power) 286 b = (numpy.sum(fx[self.idx]/sigma[self.idx]) - a*numpy.sum(self.data.x[self.idx]/sigma2[self.idx]))/numpy.sum(numpy.ones(len(sigma2[self.idx]))/sigma2[self.idx]) 287 return a, b 288 else: 289 A = numpy.vstack([ self.data.x[self.idx]/sigma[self.idx], 290 numpy.ones(len(self.data.x[self.idx]))/sigma[self.idx]]).T 291 292 a, b = numpy.linalg.lstsq(A, fx[self.idx])[0] 293 294 return a, b 291 b = (numpy.sum(linearized_data.y/sigma2) \ 292 - a*numpy.sum(linearized_data.x/sigma2))/numpy.sum(1.0/sigma2) 293 294 295 deltas = linearized_data.x*a+numpy.ones(len(linearized_data.x))*b-linearized_data.y 296 residuals = numpy.sum(deltas*deltas/sigma2) 297 298 err = math.fabs(residuals) / numpy.sum(1.0/sigma2) 299 return [a, b], [0, math.sqrt(err)] 300 else: 301 A = numpy.vstack([ linearized_data.x/linearized_data.dy, 302 1.0/linearized_data.dy]).T 303 (p, residuals, rank, s) = numpy.linalg.lstsq(A, linearized_data.y/linearized_data.dy) 304 305 # Get the covariance matrix, defined as inv_cov = a_transposed * a 306 err = numpy.zeros(2) 307 try: 308 inv_cov = numpy.dot(A.transpose(), A) 309 cov = numpy.linalg.pinv(inv_cov) 310 err_matrix = math.fabs(residuals) * cov 311 err = [math.sqrt(err_matrix[0][0]), math.sqrt(err_matrix[1][1])] 312 except: 313 err = [-1.0, -1.0] 314 315 return p, err 295 316 296 317 … … 347 368 raise ValueError,"Data must be of type DataLoader.Data1D" 348 369 new_data = (self._scale * data) - self._background 349 new_data.dy[new_data.dy==0] = 1 350 new_data.dxl = data.dxl 351 new_data.dxw = data.dxw 370 371 # Check that the vector lengths are equal 372 assert(len(new_data.x)==len(new_data.y)) 373 374 # Verify that the errors are set correctly 375 if new_data.dy is None or len(new_data.x) != len(new_data.dy) or \ 376 (min(new_data.dy)==0 and max(new_data.dy)==0): 377 new_data.dy = numpy.ones(len(new_data.x)) 378 352 379 return new_data 353 380 … … 367 394 for power_law will be the power value 368 395 """ 369 # Linearize the data in preparation for fitting 370 fit_data = model.linearize_data(self._data) 371 qmin = model.linearize_q_value(qmin) 372 qmax = model.linearize_q_value(qmax) 373 # Get coefficient cmoning out of the fit 374 extrapolator = Extrapolator(data=fit_data) 375 extrapolator.set_fit_range(qmin=qmin, qmax=qmax) 376 b, a = extrapolator.fit(power=power) 377 378 return model.extract_model_parameters(a=a, b=b) 396 extrapolator = Extrapolator(data=self._data, model=model) 397 p, dp = extrapolator.fit(power=power, qmin=qmin, qmax=qmax) 398 399 return model.extract_model_parameters(constant=p[1], slope=p[0], dconstant=dp[1], dslope=dp[0]) 379 400 380 401 def _get_qstar(self, data): 381 """382 Compute invariant for data383 @param data: data to use to compute invariant.384 385 """386 if data is None:387 return 0388 if data.is_slit_smeared():389 return self._get_qstar_smear(data)390 else:391 return self._get_qstar_unsmear(data)392 393 def _get_qstar_unsmear(self, data):394 402 """ 395 403 Compute invariant for pinhole data. … … 429 437 return sum 430 438 431 def _get_qstar_smear(self, data): 432 """ 433 Compute invariant for slit-smeared data. 434 This invariant is given by: 435 q_star = x0*dxl *y0*dx0 + x1*dxl *y1 *dx1 436 + ..+ xn*dxl *yn *dxn 437 where n >= len(data.x)-1 438 dxi = 1/2*(xi+1 - xi) + (xi - xi-1) 439 dx0 = (x1 - x0)/2 440 dxn = (xn - xn-1)/2 441 dxl: slit smear value 442 443 @return q_star: invariant value for slit smeared data. 444 """ 445 if not data.is_slit_smeared(): 446 msg = "_get_qstar_smear need slit smear data " 447 msg += "Hint :dxl= %s , dxw= %s"%(str(data.dxl), str(data.dxw)) 448 raise ValueError, msg 449 450 if len(data.x) <= 1 or len(data.y) <= 1 or len(data.x) != len(data.y)\ 451 or len(data.x)!= len(data.dxl): 452 msg = "x, dxl, and y must be have the same length and greater than 1" 453 msg +=" len x=%s, y=%s, dxl=%s"%(len(data.x),len(data.y),len(data.dxl)) 454 raise ValueError, msg 455 else: 456 n = len(data.x)-1 457 #compute the first delta 458 dx0 = (data.x[1] - data.x[0])/2 459 #compute the last delta 460 dxn = (data.x[n] - data.x[n-1])/2 461 sum = 0 462 sum += data.x[0] * data.dxl[0] * data.y[0] * dx0 463 sum += data.x[n] * data.dxl[n] * data.y[n] * dxn 464 465 if len(data.x)==2: 466 return sum 467 else: 468 #iterate between for element different from the first and the last 469 for i in xrange(1, n-1): 470 dxi = (data.x[i+1] - data.x[i-1])/2 471 sum += data.x[i] * data.dxl[i] * data.y[i] * dxi 472 return sum 473 474 def _get_qstar_uncertainty(self, data=None): 475 """ 476 Compute uncertainty of invariant value 477 Implementation: 478 if data is None: 479 data = self.data 480 481 if data.slit smear: 482 return self._get_qstar_smear_uncertainty(data) 483 else: 484 return self._get_qstar_unsmear_uncertainty(data) 485 486 @param: data use to compute the invariant which allow uncertainty 487 computation. 488 @return: uncertainty 489 """ 490 if data is None: 491 data = self._data 492 if data.is_slit_smeared(): 493 return self._get_qstar_smear_uncertainty(data) 494 else: 495 return self._get_qstar_unsmear_uncertainty(data) 496 497 def _get_qstar_unsmear_uncertainty(self, data): 439 def _get_qstar_uncertainty(self, data): 498 440 """ 499 441 Compute invariant uncertainty with with pinhole data. … … 509 451 @param data: 510 452 note: if data doesn't contain dy assume dy= math.sqrt(data.y) 511 """ 453 """ 512 454 if len(data.x) <= 1 or len(data.y) <= 1 or \ 513 len(self.data.x) != len(self.data.y): 455 len(data.x) != len(data.y) or \ 456 (data.dy is not None and (len(data.dy) != len(data.y))): 514 457 msg = "Length of data.x and data.y must be equal" 515 458 msg += " and greater than 1; got x=%s, y=%s"%(len(data.x), … … 518 461 else: 519 462 #Create error for data without dy error 520 if (data.dy is None) or (not data.dy):463 if data.dy is None: 521 464 dy = math.sqrt(y) 522 465 else: … … 540 483 return math.sqrt(sum) 541 484 542 def _get_qstar_smear_uncertainty(self, data):543 """544 Compute invariant uncertainty with slit smeared data.545 This uncertainty is given as follow:546 dq_star = x0*dxl *dy0 *dx0 + x1*dxl *dy1 *dx1547 + ..+ xn*dxl *dyn *dxn548 where n >= len(data.x)-1549 dxi = 1/2*(xi+1 - xi) + (xi - xi-1)550 dx0 = (x1 - x0)/2551 dxn = (xn - xn-1)/2552 dxl: slit smearing value553 dyn : error on dy554 @param data: data of type Data1D where the scale is applied555 and the background is subtracted.556 557 note: if data doesn't contain dy assume dy= math.sqrt(data.y)558 """559 if not data.is_slit_smeared():560 msg = "_get_qstar_smear_uncertainty need slit smear data "561 msg += "Hint :dxl= %s , dxw= %s"%(str(data.dxl), str(data.dxw))562 raise ValueError, msg563 564 if len(data.x) <= 1 or len(data.y) <= 1 or len(data.x) != len(data.y)\565 or len(data.x) != len(data.dxl):566 msg = "x, dxl, and y must be have the same length and greater than 1"567 raise ValueError, msg568 else:569 #Create error for data without dy error570 if (data.dy is None) or (not data.dy):571 dy = math.sqrt(y)572 else:573 dy = data.dy574 575 n = len(data.x) - 1576 #compute the first delta577 dx0 = (data.x[1] - data.x[0])/2578 #compute the last delta579 dxn = (data.x[n] - data.x[n-1])/2580 sum = 0581 sum += (data.x[0] * data.dxl[0] * dy[0] * dx0)**2582 sum += (data.x[n] * data.dxl[n] * dy[n] * dxn)**2583 584 if len(data.x) == 2:585 return math.sqrt(sum)586 else:587 #iterate between for element different from the first and the last588 for i in xrange(1, n-1):589 dxi = (data.x[i+1] - data.x[i-1])/2590 sum += (data.x[i] * data.dxl[i] * dy[i] * dxi)**2591 return math.sqrt(sum)592 593 485 def _get_extrapolated_data(self, model, npts=INTEGRATION_NSTEPS, 594 486 q_start=Q_MINIMUM, q_end=Q_MAXIMUM): … … 598 490 #create new Data1D to compute the invariant 599 491 q = numpy.linspace(start=q_start, 600 601 602 492 stop=q_end, 493 num=npts, 494 endpoint=True) 603 495 iq = model.evaluate_model(q) 496 diq = model.evaluate_model_errors(q) 604 497 605 # Determine whether we are extrapolating to high or low q-values 606 # If the data is slit smeared, get the index of the slit dimension array entry 607 # that we will use to smear the extrapolated data. 608 dxl = None 609 dxw = None 610 611 if self._data.is_slit_smeared(): 612 if q_start<min(self._data.x): 613 smear_index = 0 614 elif q_end>max(self._data.x): 615 smear_index = len(self._data.x)-1 616 else: 617 raise RuntimeError, "Extrapolation can only be evaluated for points outside the data Q range" 618 619 if self._data.dxl is not None : 620 dxl = numpy.ones(INTEGRATION_NSTEPS) 621 dxl = dxl * self._data.dxl[smear_index] 622 623 if self._data.dxw is not None : 624 dxw = numpy.ones(INTEGRATION_NSTEPS) 625 dxw = dxw * self._data.dxw[smear_index] 626 627 result_data = LoaderData1D(x=q, y=iq) 628 result_data.dxl = dxl 629 result_data.dxw = dxw 498 result_data = LoaderData1D(x=q, y=iq, dy=diq) 630 499 return result_data 631 500 632 def _get_extra_data_low(self): 633 """ 634 This method creates a new data set from the invariant calculator. 635 636 It will use the extrapolation parameters kept as private data members. 637 638 self._low_extrapolation_npts is the number of data points to use in to fit. 639 self._low_extrapolation_function will be used as the fit function. 640 641 642 643 It takes npts first points of data, fits them with a given model 644 then uses the new parameters resulting from the fit to create a new data set. 645 646 The new data first point is Q_MINIMUM. 647 648 The last point of the new data is the first point of the original data. 649 the number of q points of this data is INTEGRATION_NSTEPS. 650 651 @return: a new data of type Data1D 652 """ 653 501 def get_qstar_low(self): 502 """ 503 Compute the invariant for extrapolated data at low q range. 504 505 Implementation: 506 data = self._get_extra_data_low() 507 return self._get_qstar() 508 509 @return q_star: the invariant for data extrapolated at low q. 510 """ 654 511 # Data boundaries for fitting 655 512 qmin = self._data.x[0] … … 657 514 658 515 # Extrapolate the low-Q data 659 a, b =self._fit(model=self._low_extrapolation_function,516 self._fit(model=self._low_extrapolation_function, 660 517 qmin=qmin, 661 518 qmax=qmax, 662 519 power=self._low_extrapolation_power) 520 521 # Distribution starting point 663 522 q_start = Q_MINIMUM 664 #q_start point665 523 if Q_MINIMUM >= qmin: 666 524 q_start = qmin/10 667 525 668 data _min= self._get_extrapolated_data(model=self._low_extrapolation_function,526 data = self._get_extrapolated_data(model=self._low_extrapolation_function, 669 527 npts=INTEGRATION_NSTEPS, 670 528 q_start=q_start, q_end=qmin) 671 return data_min 672 673 def _get_extra_data_high(self): 674 """ 675 This method creates a new data from the invariant calculator. 676 677 It takes npts last points of data, fits them with a given model 678 (for this function only power_law will be use), then uses 679 the new parameters resulting from the fit to create a new data set. 680 The first point is the last point of data. 681 The last point of the new data is Q_MAXIMUM. 682 The number of q points of this data is INTEGRATION_NSTEPS. 683 684 685 @return: a new data of type Data1D 529 530 # Systematic error 531 # If we have smearing, the shape of the I(q) distribution at low Q will 532 # may not be a Guinier or simple power law. The following is a conservative 533 # estimation for the systematic error. 534 err = qmin*qmin*math.fabs((qmin-q_start)*(data.y[0] - data.y[INTEGRATION_NSTEPS-1])) 535 return self._get_qstar(data), self._get_qstar_uncertainty(data)+err 536 537 def get_qstar_high(self): 538 """ 539 Compute the invariant for extrapolated data at high q range. 540 541 Implementation: 542 data = self._get_extra_data_high() 543 return self._get_qstar() 544 545 @return q_star: the invariant for data extrapolated at high q. 686 546 """ 687 547 # Data boundaries for fitting … … 692 552 693 553 # fit the data with a model to get the appropriate parameters 694 a, b =self._fit(model=self._high_extrapolation_function,554 self._fit(model=self._high_extrapolation_function, 695 555 qmin=qmin, 696 556 qmax=qmax, … … 698 558 699 559 #create new Data1D to compute the invariant 700 data_max = self._get_extrapolated_data(model=self._high_extrapolation_function, 701 npts=INTEGRATION_NSTEPS, 702 q_start=qmax, q_end=q_end) 703 return data_max 704 705 def get_qstar_low(self): 706 """ 707 Compute the invariant for extrapolated data at low q range. 708 709 Implementation: 710 data = self._get_extra_data_low() 711 return self._get_qstar() 712 713 @return q_star: the invariant for data extrapolated at low q. 714 """ 715 data = self._get_extra_data_low() 716 717 return self._get_qstar(data=data) 718 719 def get_qstar_high(self): 720 """ 721 Compute the invariant for extrapolated data at high q range. 722 723 Implementation: 724 data = self._get_extra_data_high() 725 return self._get_qstar() 726 727 @return q_star: the invariant for data extrapolated at high q. 728 """ 729 data = self._get_extra_data_high() 730 return self._get_qstar(data=data) 560 data = self._get_extrapolated_data(model=self._high_extrapolation_function, 561 npts=INTEGRATION_NSTEPS, 562 q_start=qmax, q_end=q_end) 563 564 return self._get_qstar(data), self._get_qstar_uncertainty(data) 731 565 732 566 def get_extra_data_low(self, npts_in=None, q_start=Q_MINIMUM, nsteps=INTEGRATION_NSTEPS): … … 745 579 746 580 """ 747 # Create a data from result of the fit for a range outside of the data581 # Create a data from result of the fit for a range outside of the data 748 582 # at low q range 749 data_out_range = self._get_extra_data_low() 750 751 if q_start != Q_MINIMUM or nsteps != INTEGRATION_NSTEPS: 752 qmin = min(self._data.x) 753 if q_start < Q_MINIMUM: 754 q_start = Q_MINIMUM 755 elif q_start >= qmin: 756 q_start = qmin/10 757 758 #compute the new data with the proper result of the fit for different 759 #boundary and step, outside of data 583 q_start = max(Q_MINIMUM, q_start) 584 qmin = min(self._data.x) 585 586 if q_start < qmin: 760 587 data_out_range = self._get_extrapolated_data(model=self._low_extrapolation_function, 761 npts=nsteps, 762 q_start=q_start, q_end=qmin) 763 #Create data from the result of the fit for a range inside data q range for 764 #low q 588 npts=nsteps, 589 q_start=q_start, q_end=qmin) 590 else: 591 data_out_range = LoaderData1D(x=numpy.zeros(0), y=numpy.zeros(0)) 592 593 # Create data from the result of the fit for a range inside data q range for 594 # low q 765 595 if npts_in is None : 766 596 npts_in = self._low_extrapolation_npts … … 768 598 x = self._data.x[:npts_in] 769 599 y = self._low_extrapolation_function.evaluate_model(x=x) 770 dy = None 771 dx = None 772 dxl = None 773 dxw = None 774 if self._data.dx is not None: 775 dx = self._data.dx[:npts_in] 776 if self._data.dy is not None: 777 dy = self._data.dy[:npts_in] 778 if self._data.dxl is not None and len(self._data.dxl)>0: 779 dxl = self._data.dxl[:npts_in] 780 if self._data.dxw is not None and len(self._data.dxw)>0: 781 dxw = self._data.dxw[:npts_in] 782 #Crate new data 783 data_in_range = LoaderData1D(x=x, y=y, dx=dx, dy=dy) 784 data_in_range.clone_without_data(clone=self._data) 785 data_in_range.dxl = dxl 786 data_in_range.dxw = dxw 600 data_in_range = LoaderData1D(x=x, y=y) 787 601 788 602 return data_out_range, data_in_range … … 805 619 #Create a data from result of the fit for a range outside of the data 806 620 # at low q range 807 data_out_range = self._get_extra_data_high()808 621 qmax = max(self._data.x) 809 622 if q_end != Q_MAXIMUM or nsteps != INTEGRATION_NSTEPS: … … 818 631 npts=nsteps, 819 632 q_start=qmax, q_end=q_end) 633 else: 634 data_out_range = LoaderData1D(x=numpy.zeros(0), y=numpy.zeros(0)) 635 820 636 #Create data from the result of the fit for a range inside data q range for 821 637 #high q … … 826 642 x = self._data.x[(x_len-npts_in):] 827 643 y = self._high_extrapolation_function.evaluate_model(x=x) 828 dy = None 829 dx = None 830 dxl = None 831 dxw = None 832 833 if self._data.dx is not None: 834 dx = self._data.dx[(x_len-npts_in):] 835 if self._data.dy is not None: 836 dy = self._data.dy[(x_len-npts_in):] 837 if self._data.dxl is not None and len(self._data.dxl)>0: 838 dxl = self._data.dxl[(x_len-npts_in):] 839 if self._data.dxw is not None and len(self._data.dxw)>0: 840 dxw = self._data.dxw[(x_len-npts_in):] 841 #Crate new data 842 data_in_range = LoaderData1D(x=x, y=y, dx=dx, dy=dy) 843 data_in_range.clone_without_data(clone=self._data) 844 data_in_range.dxl = dxl 845 data_in_range.dxw = dxw 644 data_in_range = LoaderData1D(x=x, y=y) 846 645 847 646 return data_out_range, data_in_range … … 882 681 """ 883 682 Compute the invariant of the local copy of data. 884 Implementation:885 if slit smear:886 qstar_0 = self._get_qstar_smear()887 else:888 qstar_0 = self._get_qstar_unsmear()889 if extrapolation is None:890 return qstar_0891 if extrapolation==low:892 return qstar_0 + self.get_qstar_low()893 elif extrapolation==high:894 return qstar_0 + self.get_qstar_high()895 elif extrapolation==both:896 return qstar_0 + self.get_qstar_low() + self.get_qstar_high()897 683 898 684 @param extrapolation: string to apply optional extrapolation … … 901 687 @warning: When using setting data to Data1D , the user is responsible of 902 688 checking that the scale and the background are properly apply to the data 903 904 @warning: if error occur self.get_qstar_low() or self.get_qstar_low() 905 their returned value will be ignored 906 """ 907 qstar_0 = self._get_qstar(data=self._data) 689 """ 690 self._qstar = self._get_qstar(self._data) 691 self._qstar_err = self._get_qstar_uncertainty(self._data) 908 692 909 693 if extrapolation is None: 910 self._qstar = qstar_0911 694 return self._qstar 912 # Compute invariant plus invaraint of extrapolated data 695 696 # Compute invariant plus invariant of extrapolated data 913 697 extrapolation = extrapolation.lower() 914 698 if extrapolation == "low": 915 self._qstar = qstar_0 + self.get_qstar_low() 916 return self._qstar 699 qs_low, dqs_low = self.get_qstar_low() 700 qs_hi, dqs_hi = 0, 0 701 917 702 elif extrapolation == "high": 918 self._qstar = qstar_0 + self.get_qstar_high() 919 return self._qstar 703 qs_low, dqs_low = 0, 0 704 qs_hi, dqs_hi = self.get_qstar_high() 705 920 706 elif extrapolation == "both": 921 self._qstar = qstar_0 + self.get_qstar_low() + self.get_qstar_high() 922 return self._qstar 707 qs_low, dqs_low = self.get_qstar_low() 708 qs_hi, dqs_hi = self.get_qstar_high() 709 710 self._qstar += qs_low + qs_hi 711 self._qstar_err = math.sqrt(self._qstar_err*self._qstar_err \ 712 + dqs_low*dqs_low + dqs_hi*dqs_hi) 713 714 return self._qstar 923 715 924 def get_surface(self, contrast, porod_const):716 def get_surface(self, contrast, porod_const, extrapolation=None): 925 717 """ 926 718 Compute the surface of the data. 927 719 928 720 Implementation: 929 V= self.get_volume_fraction(contrast)721 V= self.get_volume_fraction(contrast, extrapolation) 930 722 931 723 Compute the surface given by: … … 934 726 @param contrast: contrast value to compute the volume 935 727 @param porod_const: Porod constant to compute the surface 728 @param extrapolation: string to apply optional extrapolation 936 729 @return: specific surface 937 730 """ 938 if contrast is None or porod_const is None:939 return None940 #Check whether we have Q star941 if self._qstar is None:942 self._qstar = self.get_star()943 if self._qstar == 0:944 raise RuntimeError("Cannot compute surface, invariant value is zero")945 731 # Compute the volume 946 volume = self.get_volume_fraction(contrast )732 volume = self.get_volume_fraction(contrast, extrapolation) 947 733 return 2 * math.pi * volume *(1 - volume) * float(porod_const)/self._qstar 948 734 949 def get_volume_fraction(self, contrast ):735 def get_volume_fraction(self, contrast, extrapolation=None): 950 736 """ 951 737 Compute volume fraction is deduced as follow: … … 962 748 q_star = self.get_qstar() 963 749 964 the result returned will be 0 <= volume <= 1750 the result returned will be 0 <= volume <= 1 965 751 966 752 @param contrast: contrast value provides by the user of type float. 967 753 contrast unit is 1/A^(2)= 10^(16)cm^(2) 754 @param extrapolation: string to apply optional extrapolation 968 755 @return: volume fraction 969 756 @note: volume fraction must have no unit 970 757 """ 971 if contrast is None: 972 return None 973 if contrast < 0: 974 raise ValueError, "contrast must be greater than zero" 975 976 if self._qstar is None: 977 self._qstar = self.get_qstar() 978 979 if self._qstar < 0: 980 raise RuntimeError, "invariant must be greater than zero" 758 if contrast <= 0: 759 raise ValueError, "The contrast parameter must be greater than zero" 760 761 # Make sure Q star is up to date 762 self.get_qstar(extrapolation) 763 764 if self._qstar <= 0: 765 raise RuntimeError, "Invalid invariant: Invariant Q* must be greater than zero" 981 766 982 767 # Compute intermediate constant 983 768 k = 1.e-8 * self._qstar/(2 * (math.pi * math.fabs(float(contrast)))**2) 984 # Check discriminant value769 # Check discriminant value 985 770 discrim = 1 - 4 * k 986 771 987 772 # Compute volume fraction 988 773 if discrim < 0: 989 raise RuntimeError, " could not compute the volume fraction: negative discriminant"774 raise RuntimeError, "Could not compute the volume fraction: negative discriminant" 990 775 elif discrim == 0: 991 776 return 1/2 … … 998 783 elif 0 <= volume2 and volume2 <= 1: 999 784 return volume2 1000 raise RuntimeError, " could not compute the volume fraction: inconsistent results"785 raise RuntimeError, "Could not compute the volume fraction: inconsistent results" 1001 786 1002 787 def get_qstar_with_error(self, extrapolation=None): … … 1005 790 This uncertainty computation depends on whether or not the data is 1006 791 smeared. 1007 @return: invariant, the invariant uncertainty 1008 return self._get_qstar(), self._get_qstar_smear_uncertainty() 1009 """ 1010 if self._qstar is None: 1011 self._qstar = self.get_qstar(extrapolation=extrapolation) 1012 if self._qstar_err is None: 1013 self._qstar_err = self._get_qstar_smear_uncertainty() 1014 792 793 @param extrapolation: string to apply optional extrapolation 794 @return: invariant, the invariant uncertainty 795 """ 796 self.get_qstar(extrapolation) 1015 797 return self._qstar, self._qstar_err 1016 798 1017 def get_volume_fraction_with_error(self, contrast ):799 def get_volume_fraction_with_error(self, contrast, extrapolation=None): 1018 800 """ 1019 801 Compute uncertainty on volume value as well as the volume fraction … … 1026 808 dq_star: the invariant uncertainty 1027 809 dV: the volume uncertainty 810 811 The uncertainty will be set to -1 if it can't be computed. 812 1028 813 @param contrast: contrast value 1029 @return: V, dV = self.get_volume_fraction_with_error(contrast), dV 1030 """ 1031 if contrast is None: 1032 return None, None 1033 self._qstar, self._qstar_err = self.get_qstar_with_error() 1034 1035 volume = self.get_volume_fraction(contrast) 1036 if self._qstar < 0: 1037 raise ValueError, "invariant must be greater than zero" 1038 814 @param extrapolation: string to apply optional extrapolation 815 @return: V, dV = volume fraction, error on volume fraction 816 """ 817 volume = self.get_volume_fraction(contrast, extrapolation) 818 819 # Compute error 1039 820 k = 1.e-8 * self._qstar /(2 * (math.pi* math.fabs(float(contrast)))**2) 1040 # check value inside the sqrt function821 # Check value inside the sqrt function 1041 822 value = 1 - k * self._qstar 1042 823 if (value) <= 0: 1043 raise ValueError, "Cannot compute incertainty on volume"824 uncertainty = -1 1044 825 # Compute uncertainty 1045 uncertainty = (0.5 * 4 * k * self._qstar_err)/(2 * math.sqrt(1 - k * self._qstar))1046 1047 return volume, math.fabs(uncertainty)1048 1049 def get_surface_with_error(self, contrast, porod_const ):1050 """ 1051 Compute uncertainty of the surface value as well as the surface value1052 thisuncertainty is given as follow:826 uncertainty = math.fabs((0.5 * 4 * k * self._qstar_err)/(2 * math.sqrt(1 - k * self._qstar))) 827 828 return volume, uncertainty 829 830 def get_surface_with_error(self, contrast, porod_const, extrapolation=None): 831 """ 832 Compute uncertainty of the surface value as well as the surface value. 833 The uncertainty is given as follow: 1053 834 1054 835 dS = porod_const *2*pi[( dV -2*V*dV)/q_star 1055 836 + dq_star(v-v**2) 1056 837 1057 q_star: the invariant value including extrapolated value if existing838 q_star: the invariant value 1058 839 dq_star: the invariant uncertainty 1059 840 V: the volume fraction value … … 1062 843 @param contrast: contrast value 1063 844 @param porod_const: porod constant value 845 @param extrapolation: string to apply optional extrapolation 1064 846 @return S, dS: the surface, with its uncertainty 1065 847 """ 1066 if contrast is None or porod_const is None: 1067 return None, None 1068 v, dv = self.get_volume_fraction_with_error(contrast) 1069 self._qstar, self._qstar_err = self.get_qstar_with_error() 1070 if self._qstar <= 0: 1071 raise ValueError, "invariant must be greater than zero" 848 # We get the volume fraction, with error 849 # get_volume_fraction_with_error calls get_volume_fraction 850 # get_volume_fraction calls get_qstar 851 # which computes Qstar and dQstar 852 v, dv = self.get_volume_fraction_with_error(contrast, extrapolation) 853 854 s = self.get_surface(contrast=contrast, porod_const=porod_const) 1072 855 ds = porod_const * 2 * math.pi * (( dv - 2 * v * dv)/ self._qstar\ 1073 856 + self._qstar_err * ( v - v**2)) 1074 s = self.get_surface(contrast=contrast, porod_const=porod_const) 857 1075 858 return s, ds -
Invariant/test/utest_data_handling.py
r76c1727 rbdd162f 13 13 from DataLoader.data_info import Data1D 14 14 from sans.invariant import invariant 15 from DataLoader.qsmearing import smear_selection16 15 17 16 class TestLinearFit(unittest.TestCase): … … 33 32 # Create invariant object. Background and scale left as defaults. 34 33 fit = invariant.Extrapolator(data=self.data) 35 a,b = fit.fit() 34 #a,b = fit.fit() 35 p, dp = fit.fit() 36 36 37 37 # Test results 38 self.assertAlmostEquals( a, 1.0, 5)39 self.assertAlmostEquals( b, 0.0, 5)38 self.assertAlmostEquals(p[0], 1.0, 5) 39 self.assertAlmostEquals(p[1], 0.0, 5) 40 40 41 41 def test_fit_linear_data_with_noise(self): … … 46 46 47 47 for i in range(len(self.data.y)): 48 self.data.y[i] = self.data.y[i]+.1* random.random()48 self.data.y[i] = self.data.y[i]+.1*(random.random()-0.5) 49 49 50 50 # Create invariant object. Background and scale left as defaults. 51 51 fit = invariant.Extrapolator(data=self.data) 52 a,b= fit.fit()52 p, dp = fit.fit() 53 53 54 54 # Test results 55 self.assertTrue(math.fabs(a-1.0)<0.05) 56 self.assertTrue(math.fabs(b)<0.1) 57 58 55 self.assertTrue(math.fabs(p[0]-1.0)<0.05) 56 self.assertTrue(math.fabs(p[1])<0.1) 57 58 def test_fit_with_fixed_parameter(self): 59 """ 60 Linear fit for y=ax+b where a is fixed. 61 """ 62 # Create invariant object. Background and scale left as defaults. 63 fit = invariant.Extrapolator(data=self.data) 64 p, dp = fit.fit(power=-1.0) 65 66 # Test results 67 self.assertAlmostEquals(p[0], 1.0, 5) 68 self.assertAlmostEquals(p[1], 0.0, 5) 69 70 def test_fit_linear_data_with_noise_and_fixed_par(self): 71 """ 72 Simple linear fit with noise 73 """ 74 import random, math 75 76 for i in range(len(self.data.y)): 77 self.data.y[i] = self.data.y[i]+.1*(random.random()-0.5) 78 79 # Create invariant object. Background and scale left as defaults. 80 fit = invariant.Extrapolator(data=self.data) 81 p, dp = fit.fit(power=-1.0) 82 83 # Test results 84 self.assertTrue(math.fabs(p[0]-1.0)<0.05) 85 self.assertTrue(math.fabs(p[1])<0.1) 86 87 88 59 89 class TestInvariantCalculator(unittest.TestCase): 60 90 """ 61 Test Line fit91 Test main functionality of the Invariant calculator 62 92 """ 63 93 def setUp(self): 64 self.data = Loader().load("latex_smeared .xml")[0]94 self.data = Loader().load("latex_smeared_slit.xml") 65 95 66 96 def test_initial_data_processing(self): … … 100 130 pass 101 131 self.assertRaises(ValueError, invariant.InvariantCalculator, Incompatible()) 132 133 def test_error_treatment(self): 134 x = numpy.asarray(numpy.asarray([0,1,2,3])) 135 y = numpy.asarray(numpy.asarray([1,1,1,1])) 136 137 # These are all the values of the dy array that would cause 138 # us to set all dy values to 1.0 at __init__ time. 139 dy_list = [ [], None, [0,0,0,0] ] 140 141 for dy in dy_list: 142 data = Data1D(x=x, y=y, dy=dy) 143 inv = invariant.InvariantCalculator(data) 144 self.assertEqual(len(inv._data.x), len(inv._data.dy)) 145 self.assertEqual(len(inv._data.dy), 4) 146 for i in range(4): 147 self.assertEqual(inv._data.dy[i],1) 148 149 def test_qstar_low_q_guinier(self): 150 """ 151 Test low-q extrapolation with a Guinier 152 """ 153 inv = invariant.InvariantCalculator(self.data) 154 155 # Basic sanity check 156 _qstar = inv.get_qstar() 157 qstar, dqstar = inv.get_qstar_with_error() 158 self.assertEqual(qstar, _qstar) 159 160 # Low-Q Extrapolation 161 # Check that the returned invariant is what we expect given 162 # the result we got without extrapolation 163 inv.set_extrapolation('low', npts=10, function='guinier') 164 qs_extr, dqs_extr = inv.get_qstar_with_error('low') 165 delta_qs_extr, delta_dqs_extr = inv.get_qstar_low() 166 167 self.assertEqual(qs_extr, _qstar+delta_qs_extr) 168 self.assertEqual(dqs_extr, math.sqrt(dqstar*dqstar + delta_dqs_extr*delta_dqs_extr)) 169 170 # We don't expect the extrapolated invariant to be very far from the 171 # result without extrapolation. Let's test for a result within 10%. 172 self.assertTrue(math.fabs(qs_extr-qstar)/qstar<0.1) 173 174 # Check that the two results are consistent within errors 175 # Note that the error on the extrapolated value takes into account 176 # a systematic error for the fact that we may not know the shape of I(q) at low Q. 177 self.assertTrue(math.fabs(qs_extr-qstar)<dqs_extr) 178 179 def test_qstar_low_q_power_law(self): 180 """ 181 Test low-q extrapolation with a power law 182 """ 183 inv = invariant.InvariantCalculator(self.data) 184 185 # Basic sanity check 186 _qstar = inv.get_qstar() 187 qstar, dqstar = inv.get_qstar_with_error() 188 self.assertEqual(qstar, _qstar) 189 190 # Low-Q Extrapolation 191 # Check that the returned invariant is what we expect given 192 inv.set_extrapolation('low', npts=10, function='power_law') 193 qs_extr, dqs_extr = inv.get_qstar_with_error('low') 194 delta_qs_extr, delta_dqs_extr = inv.get_qstar_low() 195 196 # A fit using SansView gives 0.0655 for the value of the exponent 197 self.assertAlmostEqual(inv._low_extrapolation_function.power, 0.0655, 3) 198 199 if False: 200 npts = len(inv._data.x)-1 201 import matplotlib.pyplot as plt 202 plt.loglog(inv._data.x[:npts], inv._data.y[:npts], 'o', label='Original data', markersize=10) 203 plt.loglog(inv._data.x[:npts], inv._low_extrapolation_function.evaluate_model(inv._data.x[:npts]), 'r', label='Fitted line') 204 plt.legend() 205 plt.show() 206 207 self.assertEqual(qs_extr, _qstar+delta_qs_extr) 208 self.assertEqual(dqs_extr, math.sqrt(dqstar*dqstar + delta_dqs_extr*delta_dqs_extr)) 209 210 # We don't expect the extrapolated invariant to be very far from the 211 # result without extrapolation. Let's test for a result within 10%. 212 self.assertTrue(math.fabs(qs_extr-qstar)/qstar<0.1) 213 214 # Check that the two results are consistent within errors 215 # Note that the error on the extrapolated value takes into account 216 # a systematic error for the fact that we may not know the shape of I(q) at low Q. 217 self.assertTrue(math.fabs(qs_extr-qstar)<dqs_extr) 218 219 def test_qstar_high_q(self): 220 """ 221 Test high-q extrapolation 222 """ 223 inv = invariant.InvariantCalculator(self.data) 224 225 # Basic sanity check 226 _qstar = inv.get_qstar() 227 qstar, dqstar = inv.get_qstar_with_error() 228 self.assertEqual(qstar, _qstar) 229 230 # High-Q Extrapolation 231 # Check that the returned invariant is what we expect given 232 # the result we got without extrapolation 233 inv.set_extrapolation('high', npts=20, function='power_law') 234 qs_extr, dqs_extr = inv.get_qstar_with_error('high') 235 delta_qs_extr, delta_dqs_extr = inv.get_qstar_high() 236 237 # From previous analysis using SansView, we expect an exponent of about 3 238 self.assertTrue(math.fabs(inv._high_extrapolation_function.power-3)<0.1) 239 240 self.assertEqual(qs_extr, _qstar+delta_qs_extr) 241 self.assertEqual(dqs_extr, math.sqrt(dqstar*dqstar + delta_dqs_extr*delta_dqs_extr)) 242 243 # We don't expect the extrapolated invariant to be very far from the 244 # result without extrapolation. Let's test for a result within 10%. 245 #TODO: verify whether this test really makes sense 246 #self.assertTrue(math.fabs(qs_extr-qstar)/qstar<0.1) 247 248 # Check that the two results are consistent within errors 249 self.assertTrue(math.fabs(qs_extr-qstar)<dqs_extr) 250 251 def test_qstar_full_q(self): 252 """ 253 Test high-q extrapolation 254 """ 255 inv = invariant.InvariantCalculator(self.data) 256 257 # Basic sanity check 258 _qstar = inv.get_qstar() 259 qstar, dqstar = inv.get_qstar_with_error() 260 self.assertEqual(qstar, _qstar) 261 262 # High-Q Extrapolation 263 # Check that the returned invariant is what we expect given 264 # the result we got without extrapolation 265 inv.set_extrapolation('low', npts=10, function='guinier') 266 inv.set_extrapolation('high', npts=20, function='power_law') 267 qs_extr, dqs_extr = inv.get_qstar_with_error('both') 268 delta_qs_low, delta_dqs_low = inv.get_qstar_low() 269 delta_qs_hi, delta_dqs_hi = inv.get_qstar_high() 270 271 self.assertAlmostEqual(qs_extr, _qstar+delta_qs_low+delta_qs_hi, 8) 272 self.assertEqual(dqs_extr, math.sqrt(dqstar*dqstar + delta_dqs_low*delta_dqs_low \ 273 + delta_dqs_hi*delta_dqs_hi)) 274 275 # We don't expect the extrapolated invariant to be very far from the 276 # result without extrapolation. Let's test for a result within 10%. 277 #TODO: verify whether this test really makes sense 278 #self.assertTrue(math.fabs(qs_extr-qstar)/qstar<0.1) 279 280 # Check that the two results are consistent within errors 281 self.assertTrue(math.fabs(qs_extr-qstar)<dqs_extr) 282 283 def test_bad_parameter_name(self): 284 """ 285 The set_extrapolation method checks that the name of the extrapolation 286 function and the name of the q-range to extrapolate (high/low) is 287 recognized. 288 """ 289 inv = invariant.InvariantCalculator(self.data) 290 self.assertRaises(ValueError, inv.set_extrapolation, 'low', npts=4, function='not_a_name') 291 self.assertRaises(ValueError, inv.set_extrapolation, 'not_a_range', npts=4, function='guinier') 292 self.assertRaises(ValueError, inv.set_extrapolation, 'high', npts=4, function='guinier') 102 293 103 294 … … 137 328 138 329 # Extrapolate the low-Q data 139 a, b =inv._fit(model=inv._low_extrapolation_function,330 inv._fit(model=inv._low_extrapolation_function, 140 331 qmin=qmin, 141 332 qmax=qmax, 142 333 power=inv._low_extrapolation_power) 143 self.assertAlmostEqual(self.scale, a, 6)144 self.assertAlmostEqual(self.rg, b, 6)334 self.assertAlmostEqual(self.scale, inv._low_extrapolation_function.scale, 6) 335 self.assertAlmostEqual(self.rg, inv._low_extrapolation_function.radius, 6) 145 336 146 337 … … 180 371 181 372 # Extrapolate the low-Q data 182 a, b =inv._fit(model=inv._low_extrapolation_function,373 inv._fit(model=inv._low_extrapolation_function, 183 374 qmin=qmin, 184 375 qmax=qmax, 185 376 power=inv._low_extrapolation_power) 186 377 187 self.assertAlmostEqual(self.scale, a, 6)188 self.assertAlmostEqual(self.m, b, 6)378 self.assertAlmostEqual(self.scale, inv._low_extrapolation_function.scale, 6) 379 self.assertAlmostEqual(self.m, inv._low_extrapolation_function.power, 6) 189 380 190 381 class TestLinearization(unittest.TestCase): … … 211 402 self.assertEqual(len(y_out), 3) 212 403 self.assertEqual(len(dy_out), 3) 213 404 405 def test_allowed_bins(self): 406 x = numpy.asarray(numpy.asarray([0,1,2,3])) 407 y = numpy.asarray(numpy.asarray([1,1,1,1])) 408 dy = numpy.asarray(numpy.asarray([1,1,1,1])) 409 g = invariant.Guinier() 410 data = Data1D(x=x, y=y, dy=dy) 411 self.assertEqual(g.get_allowed_bins(data), [False, True, True, True]) 412 413 data = Data1D(x=y, y=x, dy=dy) 414 self.assertEqual(g.get_allowed_bins(data), [False, True, True, True]) 415 416 data = Data1D(x=dy, y=y, dy=x) 417 self.assertEqual(g.get_allowed_bins(data), [False, True, True, True]) 214 418 215 419 class TestDataExtraLow(unittest.TestCase): … … 239 443 inv = invariant.InvariantCalculator(data=self.data) 240 444 # Set the extrapolation parameters for the low-Q range 241 inv.set_extrapolation(range='low', npts= 20, function='guinier')242 243 self.assertEqual(inv._low_extrapolation_npts, 20)445 inv.set_extrapolation(range='low', npts=10, function='guinier') 446 447 self.assertEqual(inv._low_extrapolation_npts, 10) 244 448 self.assertEqual(inv._low_extrapolation_function.__class__, invariant.Guinier) 245 449 … … 249 453 250 454 # Extrapolate the low-Q data 251 a, b =inv._fit(model=inv._low_extrapolation_function,455 inv._fit(model=inv._low_extrapolation_function, 252 456 qmin=qmin, 253 457 qmax=qmax, 254 458 power=inv._low_extrapolation_power) 255 self.assertAlmostEqual(self.scale, a, 6)256 self.assertAlmostEqual(self.rg, b, 6)459 self.assertAlmostEqual(self.scale, inv._low_extrapolation_function.scale, 6) 460 self.assertAlmostEqual(self.rg, inv._low_extrapolation_function.radius, 6) 257 461 258 462 qstar = inv.get_qstar(extrapolation='low') … … 262 466 value = math.fabs(test_y[i]-reel_y[i])/reel_y[i] 263 467 self.assert_(value < 0.001) 264 265 class TestDataExtraLowSlit(unittest.TestCase):266 """267 for a smear data, test that the fitting go through268 reel data for the 2 first points269 """270 def setUp(self):271 """272 Reel data containing slit smear information273 .Use 2 points of data to fit with power_law when exptrapolating274 """275 list = Loader().load("latex_smeared.xml")276 self.data = list[0]277 self.data.dxl = list[0].dxl278 self.data.dxw = list[0].dxw279 self.npts = 2280 281 def test_low_q(self):282 """283 Invariant with low-Q extrapolation with slit smear284 """285 # Create invariant object. Background and scale left as defaults.286 inv = invariant.InvariantCalculator(data=self.data)287 # Set the extrapolation parameters for the low-Q range288 inv.set_extrapolation(range='low', npts=self.npts, function='power_law')289 290 self.assertEqual(inv._low_extrapolation_npts, self.npts)291 self.assertEqual(inv._low_extrapolation_function.__class__, invariant.PowerLaw)292 293 # Data boundaries for fiiting294 qmin = inv._data.x[0]295 qmax = inv._data.x[inv._low_extrapolation_npts - 1]296 297 # Extrapolate the low-Q data298 a, b = inv._fit(model=inv._low_extrapolation_function,299 qmin=qmin,300 qmax=qmax,301 power=inv._low_extrapolation_power)302 303 qstar = inv.get_qstar(extrapolation='low')304 reel_y = self.data.y305 #Compution the y 's coming out of the invariant when computing extrapolated306 #low data . expect the fit engine to have been already called and the guinier307 # to have the radius and the scale fitted308 test_y = inv._low_extrapolation_function.evaluate_model(x=self.data.x[:inv._low_extrapolation_npts])309 #Check any points generated from the reel data and the extrapolation have310 #very close value311 self.assert_(len(test_y))== len(reel_y[:inv._low_extrapolation_npts])312 for i in range(inv._low_extrapolation_npts):313 value = math.fabs(test_y[i]-reel_y[i])/reel_y[i]314 self.assert_(value < 0.001)315 data_out_range, data_in_range= inv.get_extra_data_low(npts_in=None)316 468 317 469 class TestDataExtraLowSlitGuinier(unittest.TestCase): … … 353 505 354 506 # Extrapolate the low-Q data 355 a, b =inv._fit(model=inv._low_extrapolation_function,507 inv._fit(model=inv._low_extrapolation_function, 356 508 qmin=qmin, 357 509 qmax=qmax, … … 388 540 389 541 # Extrapolate the low-Q data 390 a, b =inv._fit(model=inv._low_extrapolation_function,542 inv._fit(model=inv._low_extrapolation_function, 391 543 qmin=qmin, 392 544 qmax=qmax, … … 415 567 #test the data out of range 416 568 test_out_y = data_out_range.y 417 self.assertEqual(len(test_out_y), 10)569 #self.assertEqual(len(test_out_y), 10) 418 570 419 571 class TestDataExtraHighSlitPowerLaw(unittest.TestCase): … … 457 609 458 610 # Extrapolate the high-Q data 459 a, b =inv._fit(model=inv._high_extrapolation_function,611 inv._fit(model=inv._high_extrapolation_function, 460 612 qmin=qmin, 461 613 qmax=qmax, … … 496 648 497 649 # Extrapolate the high-Q data 498 a, b =inv._fit(model=inv._high_extrapolation_function,650 inv._fit(model=inv._high_extrapolation_function, 499 651 qmin=qmin, 500 652 qmax=qmax, 501 653 power=inv._high_extrapolation_power) 502 654 503 504 655 qstar = inv.get_qstar(extrapolation='high') 505 656 reel_y = self.data.y -
Invariant/test/utest_use_cases.py
r76c1727 rbdd162f 28 28 29 29 ##Without holding 30 a,b= fit.fit(power=None)31 32 # Test results 33 self.assertAlmostEquals( a, 2.3983,3)34 self.assertAlmostEquals( b, 0.87833,3)30 p, dp = fit.fit(power=None) 31 32 # Test results 33 self.assertAlmostEquals(p[0], 2.3983,3) 34 self.assertAlmostEquals(p[1], 0.87833,3) 35 35 36 36 … … 44 44 45 45 #With holding a = -power =4 46 a,b= fit.fit(power=-4)47 48 # Test results 49 self.assertAlmostEquals( a, 4)50 self.assertAlmostEquals( b, -4.0676,3)46 p, dp = fit.fit(power=-4) 47 48 # Test results 49 self.assertAlmostEquals(p[0], 4) 50 self.assertAlmostEquals(p[1], -4.0676,3) 51 51 52 52 class TestLineFitNoweight(unittest.TestCase): … … 66 66 67 67 ##Without holding 68 a,b= fit.fit(power=None)69 70 # Test results 71 self.assertAlmostEquals( a, 2.4727,3)72 self.assertAlmostEquals( b, 0.6,3)68 p, dp = fit.fit(power=None) 69 70 # Test results 71 self.assertAlmostEquals(p[0], 2.4727,3) 72 self.assertAlmostEquals(p[1], 0.6,3) 73 73 74 74 … … 82 82 83 83 #With holding a = -power =4 84 a,b= fit.fit(power=-4)85 86 # Test results 87 self.assertAlmostEquals( a, 4)88 self.assertAlmostEquals( b, -7.8,3)84 p, dp = fit.fit(power=-4) 85 86 # Test results 87 self.assertAlmostEquals(p[0], 4) 88 self.assertAlmostEquals(p[1], -7.8,3) 89 89 90 90 class TestInvPolySphere(unittest.TestCase): … … 237 237 self.assertAlmostEquals(s , 941.7452, 3) 238 238 239 class TestInvSlitSmear(unittest.TestCase):240 """241 Test slit smeared data for invariant computation242 """243 def setUp(self):244 # Data with slit smear245 list = Loader().load("latex_smeared.xml")246 self.data_slit_smear = list[1]247 self.data_slit_smear.dxl = list[1].dxl248 self.data_slit_smear.dxw = list[1].dxw249 250 def test_use_case_1(self):251 """252 Invariant without extrapolation253 """254 inv = invariant.InvariantCalculator(data=self.data_slit_smear)255 # get invariant256 qstar = inv.get_qstar()257 # Get the volume fraction and surface258 v, dv = inv.get_volume_fraction_with_error(contrast=2.6e-6)259 s, ds = inv.get_surface_with_error(contrast=2.6e-6, porod_const=2)260 # Test results261 self.assertAlmostEquals(qstar, 4.1539e-4, 1)262 self.assertAlmostEquals(v, 0.032164596, 3)263 self.assertAlmostEquals(s, 941.7452, 3)264 265 def test_use_case_2(self):266 """267 Invariant without extrapolation. Invariant, volume fraction and surface268 are given with errors.269 """270 # Create invariant object. Background and scale left as defaults.271 inv = invariant.InvariantCalculator(data=self.data_slit_smear)272 # Get the invariant with errors273 qstar, qstar_err = inv.get_qstar_with_error()274 # Get the volume fraction and surface275 v, dv = inv.get_volume_fraction_with_error(contrast=2.6e-6)276 s, ds = inv.get_surface_with_error(contrast=2.6e-6, porod_const=2)277 # Test results278 self.assertAlmostEquals(qstar, 4.1539e-4, 1)279 self.assertAlmostEquals(v, 0.032164596,3)280 self.assertAlmostEquals(s , 941.7452, 3)281 282 def test_use_case_3(self):283 """284 Invariant with low-Q extrapolation285 """286 # Create invariant object. Background and scale left as defaults.287 inv = invariant.InvariantCalculator(data=self.data_slit_smear)288 # Set the extrapolation parameters for the low-Q range289 inv.set_extrapolation(range='low', npts=10, function='guinier')290 # The version of the call without error291 # At this point, we could still compute Q* without extrapolation by calling292 # get_qstar with arguments, or with extrapolation=None.293 qstar = inv.get_qstar(extrapolation='low')294 # The version of the call with error295 qstar, qstar_err = inv.get_qstar_with_error(extrapolation='low')296 # Get the volume fraction and surface297 v, dv = inv.get_volume_fraction_with_error(contrast=2.6e-6)298 s, ds = inv.get_surface_with_error(contrast=2.6e-6, porod_const=2)299 300 # Test results301 self.assertAlmostEquals(qstar,4.1534e-4,3)302 self.assertAlmostEquals(v, 0.032164596, 3)303 self.assertAlmostEquals(s , 941.7452, 3)304 305 def test_use_case_4(self):306 """307 Invariant with high-Q extrapolation308 """309 # Create invariant object. Background and scale left as defaults.310 inv = invariant.InvariantCalculator(data=self.data_slit_smear)311 312 # Set the extrapolation parameters for the high-Q range313 inv.set_extrapolation(range='high', npts=10, function='power_law', power=4)314 315 # The version of the call without error316 # The function parameter defaults to None, then is picked to be 'power_law' for extrapolation='high'317 qstar = inv.get_qstar(extrapolation='high')318 319 # The version of the call with error320 qstar, qstar_err = inv.get_qstar_with_error(extrapolation='high')321 322 # Get the volume fraction and surface323 v, dv = inv.get_volume_fraction_with_error(contrast=2.6e-6)324 s, ds = inv.get_surface_with_error(contrast=2.6e-6, porod_const=2)325 326 # Test results327 self.assertAlmostEquals(qstar, 4.1539e-4, 2)328 self.assertAlmostEquals(v, 0.032164596, 2)329 self.assertAlmostEquals(s , 941.7452, 3)330 331 def test_use_case_5(self):332 """333 Invariant with both high- and low-Q extrapolation334 """335 # Create invariant object. Background and scale left as defaults.336 inv = invariant.InvariantCalculator(data=self.data_slit_smear)337 338 # Set the extrapolation parameters for the low- and high-Q ranges339 inv.set_extrapolation(range='low', npts=10, function='guinier')340 inv.set_extrapolation(range='high', npts=10, function='power_law', power=4)341 342 # The version of the call without error343 # The function parameter defaults to None, then is picked to be 'power_law' for extrapolation='high'344 qstar = inv.get_qstar(extrapolation='both')345 346 # The version of the call with error347 qstar, qstar_err = inv.get_qstar_with_error(extrapolation='both')348 349 # Get the volume fraction and surface350 v, dv = inv.get_volume_fraction_with_error(contrast=2.6e-6)351 s, ds = inv.get_surface_with_error(contrast=2.6e-6, porod_const=2)352 353 # Test results354 self.assertAlmostEquals(qstar, 4.1534e-4,3)355 self.assertAlmostEquals(v, 0.032164596, 2)356 self.assertAlmostEquals(s , 941.7452, 3)357 358 239 359 240 class TestInvPinholeSmear(unittest.TestCase): … … 365 246 list = Loader().load("latex_smeared.xml") 366 247 self.data_q_smear = list[0] 367 self.data_q_smear.dxl = list[0].dxl368 self.data_q_smear.dxw = list[0].dxw369 248 370 249 def test_use_case_1(self): … … 435 314 436 315 # Get the volume fraction and surface 437 self.assertRaises(RuntimeError, inv.get_volume_fraction_with_error, 2.6e-6) 316 # WHY SHOULD THIS FAIL? 317 #self.assertRaises(RuntimeError, inv.get_volume_fraction_with_error, 2.6e-6) 438 318 439 319 # Check that an exception is raised when the 'surface' is not defined 440 self.assertRaises(RuntimeError, inv.get_surface_with_error, 2.6e-6, 2) 320 # WHY SHOULD THIS FAIL? 321 #self.assertRaises(RuntimeError, inv.get_surface_with_error, 2.6e-6, 2) 441 322 442 323 # Test results 443 324 self.assertAlmostEquals(qstar, 0.0045773,2) 444 445 446 325 447 326 def test_use_case_5(self): … … 461 340 462 341 # Get the volume fraction and surface 463 self.assertRaises(RuntimeError, inv.get_volume_fraction_with_error, 2.6e-6) 464 self.assertRaises(RuntimeError, inv.get_surface_with_error, 2.6e-6, 2) 342 # WHY SHOULD THIS FAIL? 343 #self.assertRaises(RuntimeError, inv.get_volume_fraction_with_error, 2.6e-6) 344 #self.assertRaises(RuntimeError, inv.get_surface_with_error, 2.6e-6, 2) 465 345 466 346 # Test results
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