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# -*- coding: utf-8 -*-
#cython: embedsignature=True, language_level=3
#cython: boundscheck=False, wraparound=False, cdivision=True, initializedcheck=False,
## This is for developping
## cython: profile=True, warn.undeclared=True, warn.unused=True, warn.unused_result=False, warn.unused_arg=True
#
# Project: Fast Azimuthal Integration
# https://github.com/silx-kit/pyFAI
#
# Copyright (C) 2012-2020 European Synchrotron Radiation Facility, Grenoble, France
#
# Principal author: Jérôme Kieffer (Jerome.Kieffer@ESRF.eu)
#
# Permission is hereby granted, free of charge, to any person obtaining a copy
# of this software and associated documentation files (the "Software"), to deal
# in the Software without restriction, including without limitation the rights
# to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
# copies of the Software, and to permit persons to whom the Software is
# furnished to do so, subject to the following conditions:
# .
# The above copyright notice and this permission notice shall be included in
# all copies or substantial portions of the Software.
# .
# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
# IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
# FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
# AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
# LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
# OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
# THE SOFTWARE.
"""Calculates histograms of pos0 (tth) weighted by Intensity
Splitting is done on the pixel's bounding box like fit2D,
reverse implementation based on a sparse matrix multiplication
"""
__author__ = "Jerome Kieffer"
__contact__ = "Jerome.kieffer@esrf.fr"
__date__ = "29/01/2021"
__status__ = "stable"
__license__ = "MIT"
include "regrid_common.pxi"
include "CSR_common.pxi"
import cython
import os
import sys
import logging
logger = logging.getLogger(__name__)
from cython.parallel import prange
import numpy
from libc.math cimport sqrt
from ..utils import crc32
from ..utils.decorators import deprecated
class HistoBBox1d(CsrIntegrator):
"""
Now uses CSR (Compressed Sparse raw) with main attributes:
* nnz: number of non zero elements
* data: coefficient of the matrix in a 1D vector of float32
* indices: Column index position for the data (same size as
* indptr: row pointer indicates the start of a given row. len nrow+1
Nota: nnz = indptr[-1]
"""
def __init__(self,
pos0,
delta_pos0,
pos1=None,
delta_pos1=None,
int bins=100,
pos0Range=None,
pos1Range=None,
mask=None,
mask_checksum=None,
allow_pos0_neg=False,
unit="undefined",
empty=0.0):
"""
:param pos0: 1D array with pos0: tth or q_vect or r ...
:param delta_pos0: 1D array with delta pos0: max center-corner distance
:param pos1: 1D array with pos1: chi
:param delta_pos1: 1D array with max pos1: max center-corner distance, unused !
:param bins: number of output bins, 100 by default
:param pos0Range: minimum and maximum of the 2th range
:param pos1Range: minimum and maximum of the chi range
:param mask: array (of int8) with masked pixels with 1 (0=not masked)
:param allow_pos0_neg: enforce the q<0 is usually not possible
:param unit: can be 2th_deg or r_nm^-1 ...
:param empty: value for bins without contributing pixels
"""
self.size = pos0.size
if "size" not in dir(delta_pos0) or delta_pos0.size != self.size:
logger.warning("Pixel splitting desactivated !")
delta_pos0 = None
self.bins = bins
#self.lut_size = 0
self.allow_pos0_neg = allow_pos0_neg
#self.empty = empty
if mask is not None:
assert mask.size == self.size, "mask size"
self.check_mask = True
self.cmask = numpy.ascontiguousarray(mask.ravel(), dtype=mask_d)
if mask_checksum:
self.mask_checksum = mask_checksum
else:
self.mask_checksum = crc32(mask)
else:
self.check_mask = False
self.mask_checksum = None
#self.data = self.nnz = self.indices = self.indptr = None
self.pos0Range = pos0Range
self.pos1Range = pos1Range
self.cpos0 = numpy.ascontiguousarray(pos0.ravel(), dtype=position_d)
if delta_pos0 is None:
self.calc_boundaries_nosplit(pos0Range)
else:
self.dpos0 = numpy.ascontiguousarray(delta_pos0.ravel(), dtype=position_d)
self.cpos0_sup = numpy.empty_like(self.cpos0) # self.cpos0 + self.dpos0
self.cpos0_inf = numpy.empty_like(self.cpos0) # self.cpos0 - self.dpos0
self.calc_boundaries(pos0Range)
if pos1Range is not None:
assert pos1.size == self.size, "pos1 size"
self.check_pos1 = True
if delta_pos0 is None:
"No pixel splitting"
self.cpos1_max = self.cpos1_min = numpy.ascontiguousarray((pos1).ravel(), dtype=position_d)
else:
assert delta_pos1.size == self.size, "delta_pos1.size == self.size"
self.cpos1_min = numpy.ascontiguousarray((pos1 - delta_pos1).ravel(), dtype=position_d)
self.cpos1_max = numpy.ascontiguousarray((pos1 + delta_pos1).ravel(), dtype=position_d)
self.pos1_min, pos1_maxin = pos1Range
self.pos1_max = calc_upper_bound(<position_t> pos1_maxin)
else:
self.check_pos1 = False
self.cpos1_min = None
self.pos1_max = None
self.delta = (self.pos0_max - self.pos0_min) / (<position_t> bins)
if delta_pos0 is not None:
lut = self.calc_lut()
else:
lut = self.calc_lut_nosplit()
#Call the constructor of the parent class
super().__init__(lut, pos0.size, empty)
self.bin_centers = numpy.linspace(self.pos0_min + 0.5 * self.delta,
self.pos0_max - 0.5 * self.delta,
self.bins)
self.lut = (numpy.asarray(self.data), numpy.asarray(self.indices), numpy.asarray(self.indptr))
self.lut_checksum = crc32(self.lut[0])
self.unit = unit
self.lut_nbytes = sum([i.nbytes for i in self.lut])
def calc_boundaries(self, pos0Range):
"""
Calculate self.pos0_min and self.pos0_max
:param pos0Range: 2-tuple containing the requested range
"""
cdef:
int size = self.cpos0.size
bint check_mask = self.check_mask
mask_t[::1] cmask
double[::1] cpos0, dpos0, cpos0_sup, cpos0_inf,
double upper, lower, pos0_max, pos0_min, c, d
bint allow_pos0_neg = self.allow_pos0_neg
int idx
cpos0_sup = self.cpos0_sup
cpos0_inf = self.cpos0_inf
cpos0 = self.cpos0
dpos0 = self.dpos0
pos0_min = pos0_max = cpos0[0]
if not allow_pos0_neg and pos0_min < 0:
pos0_min = pos0_max = 0
if check_mask:
cmask = self.cmask
with nogil:
for idx in range(size):
c = cpos0[idx]
d = dpos0[idx]
lower = c - d
upper = c + d
cpos0_sup[idx] = upper
cpos0_inf[idx] = lower
if not allow_pos0_neg and lower < 0:
lower = 0
if not (check_mask and cmask[idx]):
if upper > pos0_max:
pos0_max = upper
if lower < pos0_min:
pos0_min = lower
if pos0Range is not None:
self.pos0_min, self.pos0_maxin = pos0Range
else:
self.pos0_min = pos0_min
self.pos0_maxin = pos0_max
if (not allow_pos0_neg) and self.pos0_min < 0:
self.pos0_min = 0
self.pos0_max = calc_upper_bound(<position_t> self.pos0_maxin)
def calc_boundaries_nosplit(self, pos0Range):
"""
Calculate self.pos0_min and self.pos0_max when no splitting is requested
:param pos0Range: 2-tuple containing the requested range
"""
cdef:
int size = self.cpos0.size
bint check_mask = self.check_mask
mask_t[::1] cmask
position_t[::1] cpos0
position_t pos0_max, pos0_min, c
bint allow_pos0_neg = self.allow_pos0_neg
int idx
if pos0Range is not None:
self.pos0_min, self.pos0_maxin = pos0Range
else:
cpos0 = self.cpos0
pos0_min = pos0_max = cpos0[0]
if not allow_pos0_neg and pos0_min < 0:
pos0_min = pos0_max = 0
if check_mask:
cmask = self.cmask
with nogil:
for idx in range(size):
c = cpos0[idx]
if not allow_pos0_neg and c < 0:
c = 0
if not (check_mask and cmask[idx]):
if c > pos0_max:
pos0_max = c
if c < pos0_min:
pos0_min = c
self.pos0_min = pos0_min
self.pos0_maxin = pos0_max
if (not allow_pos0_neg) and self.pos0_min < 0:
self.pos0_min = 0
self.pos0_max = calc_upper_bound(<position_t> self.pos0_maxin)
def calc_lut(self):
'''
calculate the max number of elements in the LUT and populate it
'''
cdef:
position_t delta = self.delta, pos0_min = self.pos0_min, pos1_min, pos1_max,
position_t min0, max0, fbin0_min, fbin0_max
int32_t k, idx, i, j, bin0_min, bin0_max, bins = self.bins, size, nnz
bint check_mask, check_pos1
int32_t[::1] outmax = numpy.zeros(bins, dtype=numpy.int32)
int32_t[::1] indptr, indices
float[::1] data
position_t[::1] cpos0_sup = self.cpos0_sup, cpos0_inf = self.cpos0_inf, cpos1_min, cpos1_max,
mask_t[::1] cmask
acc_t inv_area, delta_left, delta_right
size = self.size
if self.check_mask:
cmask = self.cmask
check_mask = True
else:
check_mask = False
if self.check_pos1:
check_pos1 = True
cpos1_min = self.cpos1_min
cpos1_max = self.cpos1_max
pos1_max = self.pos1_max
pos1_min = self.pos1_min
else:
check_pos1 = False
with nogil:
for idx in range(size):
if (check_mask) and (cmask[idx]):
continue
min0 = cpos0_inf[idx]
max0 = cpos0_sup[idx]
if check_pos1 and ((cpos1_max[idx] < pos1_min) or (cpos1_min[idx] > pos1_max)):
continue
fbin0_min = get_bin_number(min0, pos0_min, delta)
fbin0_max = get_bin_number(max0, pos0_min, delta)
bin0_min = <int> fbin0_min
bin0_max = <int> fbin0_max
if (bin0_max < 0) or (bin0_min >= bins):
continue
if bin0_max >= bins:
bin0_max = bins - 1
if bin0_min < 0:
bin0_min = 0
if bin0_min == bin0_max:
# All pixel is within a single bin
outmax[bin0_min] += 1
else: # We have pixel splitting.
for i in range(bin0_min, bin0_max + 1):
outmax[i] += 1
indptr = numpy.concatenate(([numpy.int32(0)],
numpy.asarray(outmax).cumsum(dtype=numpy.int32)))
nnz = indptr[bins]
# just recycle the outmax array
outmax[:] = 0
lut_nbytes = nnz * (sizeof(int32_t) + sizeof(float32_t))
#Check we have enough memory
if (os.name == "posix"):
key_page_size = os.sysconf_names.get("SC_PAGE_SIZE", 0)
key_page_cnt = os.sysconf_names.get("SC_PHYS_PAGES",0)
if key_page_size*key_page_cnt:
try:
memsize = os.sysconf(key_page_size) * os.sysconf(key_page_cnt)
except OSError:
pass
else:
if memsize < lut_nbytes:
raise MemoryError("CSR Lookup-table (%i, %i) is %.3fGB whereas the memory of the system is only %.3fGB" %
(bins, self.nnz, lut_nbytes / 2. ** 30, memsize / 2. ** 30))
# else hope we have enough memory
data = numpy.empty(nnz, dtype=numpy.float32)
indices = numpy.empty(nnz, dtype=numpy.int32)
with nogil:
for idx in range(size):
if (check_mask) and (cmask[idx]):
continue
min0 = cpos0_inf[idx]
max0 = cpos0_sup[idx]
if check_pos1 and ((cpos1_max[idx] < pos1_min) or (cpos1_min[idx] > pos1_max)):
continue
fbin0_min = get_bin_number(min0, pos0_min, delta)
fbin0_max = get_bin_number(max0, pos0_min, delta)
bin0_min = <int> fbin0_min
bin0_max = <int> fbin0_max
if (bin0_max < 0) or (bin0_min >= bins):
continue
if bin0_max >= bins:
bin0_max = bins - 1
if bin0_min < 0:
bin0_min = 0
if bin0_min == bin0_max:
# All pixel is within a single bin
k = outmax[bin0_min]
indices[indptr[bin0_min] + k] = idx
data[indptr[bin0_min] + k] = onef
outmax[bin0_min] += 1 # k+1
else: # we have pixel splitting.
inv_area = 1.0 / (fbin0_max - fbin0_min)
delta_left = <position_t> (bin0_min + 1) - fbin0_min
delta_right = fbin0_max - <position_t> (bin0_max)
k = outmax[bin0_min]
indices[indptr[bin0_min] + k] = idx
data[indptr[bin0_min] + k] = (inv_area * delta_left)
outmax[bin0_min] += 1
k = outmax[bin0_max]
indices[indptr[bin0_max] + k] = idx
data[indptr[bin0_max] + k] = (inv_area * delta_right)
outmax[bin0_max] += 1
if bin0_min + 1 < bin0_max:
for i in range(bin0_min + 1, bin0_max):
k = outmax[i]
indices[indptr[i] + k] = idx
data[indptr[i] + k] = (inv_area)
outmax[i] += 1
return data, indices, indptr
def calc_lut_nosplit(self):
'''
calculate the max number of elements in the LUT and populate it
'''
cdef:
position_t delta = self.delta, pos0_min = self.pos0_min, pos1_min, pos1_max, fbin0, pos0
int32_t k, idx, bin0, bins = self.bins, size, nnz
bint check_mask, check_pos1
int32_t[::1] outmax = numpy.zeros(bins, dtype=numpy.int32)
int32_t[::1] indptr, indices
float[::1] data
position_t[::1] cpos0 = self.cpos0, cpos1_min, cpos1_max,
mask_t[::1] cmask
size = self.size
if self.check_mask:
cmask = self.cmask
check_mask = True
else:
check_mask = False
if self.check_pos1:
check_pos1 = True
cpos1_min = self.cpos1_min
cpos1_max = self.cpos1_max
pos1_max = self.pos1_max
pos1_min = self.pos1_min
else:
check_pos1 = False
with nogil:
for idx in range(size):
if (check_mask) and (cmask[idx]):
continue
pos0 = cpos0[idx]
if check_pos1 and ((cpos1_max[idx] < pos1_min) or (cpos1_min[idx] > pos1_max)):
continue
fbin0 = get_bin_number(pos0, pos0_min, delta)
bin0 = < int > fbin0
if (bin0 >= 0) and (bin0 < bins):
outmax[bin0] += 1
indptr = numpy.concatenate((numpy.zeros(1, dtype=numpy.int32), numpy.asarray(outmax).cumsum(dtype=numpy.int32)))
nnz = indptr[bins]
# just recycle the outmax array
outmax[:] = 0
lut_nbytes = nnz * (sizeof(int32_t) + sizeof(float32_t))
#Check we have enough memory
if (os.name == "posix"):
key_page_size = os.sysconf_names.get("SC_PAGE_SIZE", 0)
key_page_cnt = os.sysconf_names.get("SC_PHYS_PAGES",0)
if key_page_size*key_page_cnt:
try:
memsize = os.sysconf(key_page_size) * os.sysconf(key_page_cnt)
except OSError:
pass
else:
if memsize < lut_nbytes:
raise MemoryError("CSR Lookup-table (%i, %i) is %.3fGB whereas the memory of the system is only %.3fGB" %
(bins, self.nnz, lut_nbytes>>30, memsize >> 30))
# else hope we have enough memory
data = numpy.empty(nnz, dtype=numpy.float32)
indices = numpy.empty(nnz, dtype=numpy.int32)
with nogil:
for idx in range(size):
if (check_mask) and (cmask[idx]):
continue
pos0 = cpos0[idx]
if check_pos1 and ((cpos1_max[idx] < pos1_min) or (cpos1_min[idx] > pos1_max)):
continue
fbin0 = get_bin_number(pos0, pos0_min, delta)
bin0 = < int > fbin0
if (bin0 < 0) or (bin0 >= bins):
continue
k = outmax[bin0]
indices[indptr[bin0] + k] = idx
data[indptr[bin0] + k] = onef
outmax[bin0] += 1 # k+1
return data, indices, indptr
@property
@deprecated(replacement="bin_centers", since_version="0.16", only_once=True)
def outPos(self):
return self.bin_centers
################################################################################
# Bidimensionnal regrouping
################################################################################
class HistoBBox2d(object):
"""
2D histogramming with pixel splitting based on a look-up table
The initialization of the class can take quite a while (operation are not parallelized)
but each integrate is parallelized and quite efficient.
"""
@cython.boundscheck(False)
def __init__(self,
pos0,
delta_pos0,
pos1,
delta_pos1,
bins=(100, 36),
pos0Range=None,
pos1Range=None,
mask=None,
mask_checksum=None,
allow_pos0_neg=False,
unit="undefined",
chiDiscAtPi=True,
empty=0.0
):
"""
:param pos0: 1D array with pos0: tth or q_vect
:param delta_pos0: 1D array with delta pos0: max center-corner distance
:param pos1: 1D array with pos1: chi
:param delta_pos1: 1D array with max pos1: max center-corner distance, unused !
:param bins: number of output bins (tth=100, chi=36 by default)
:param pos0Range: minimum and maximum of the 2th range
:param pos1Range: minimum and maximum of the chi range
:param mask: array (of int8) with masked pixels with 1 (0=not masked)
:param allow_pos0_neg: enforce the q<0 is usually not possible
:param chiDiscAtPi: boolean; by default the chi_range is in the range ]-pi,pi[ set to 0 to have the range ]0,2pi[
:param empty: unused ??? TODO fix this
"""
cdef:
int bins0, bins1
self.size = pos0.size
assert pos1.size == self.size, "pos1 size"
# Declare a few variables
self.pos0_min = self.pos0_maxin = self.pos0_max = self.delta0 = None
self.pos1_min = self.pos1_maxin = self.pos1_max = self.delta1 = None
if "size" not in dir(delta_pos0) or delta_pos0.size != self.size or\
"size" not in dir(delta_pos1) or delta_pos1.size != self.size:
logger.warning("Pixel splitting deactivated !")
delta_pos0 = None
delta_pos1 = None
self.chiDiscAtPi = 1 if chiDiscAtPi else 0
self.allow_pos0_neg = allow_pos0_neg
self.empty = empty
try:
bins0, bins1 = tuple(bins)
except TypeError:
bins0 = bins1 = bins
if bins0 <= 0:
bins0 = 1
if bins1 <= 0:
bins1 = 1
self.bins = (int(bins0), int(bins1))
self.lut_size = 0
if mask is not None:
assert mask.size == self.size, "mask size"
self.check_mask = True
self.cmask = numpy.ascontiguousarray(mask.ravel(), dtype=numpy.int8)
if mask_checksum:
self.mask_checksum = mask_checksum
else:
self.mask_checksum = crc32(mask)
else:
self.check_mask = False
self.mask_checksum = None
self.data = self.nnz = self.indices = self.indptr = None
self.pos0Range = pos0Range
self.pos1Range = pos1Range
self.cpos0 = numpy.ascontiguousarray(pos0.ravel(), dtype=position_d)
self.cpos1 = numpy.ascontiguousarray((pos1).ravel(), dtype=position_d)
if delta_pos0 is not None:
self.dpos0 = numpy.ascontiguousarray(delta_pos0.ravel(), dtype=position_d)
self.cpos0_sup = numpy.empty_like(self.cpos0) # self.cpos0 + self.dpos0
self.cpos0_inf = numpy.empty_like(self.cpos0) # self.cpos0 - self.dpos0
self.dpos1 = numpy.ascontiguousarray((delta_pos1).ravel(), dtype=position_d)
self.cpos1_sup = numpy.empty_like(self.cpos1) # self.cpos1 + self.dpos1
self.cpos1_inf = numpy.empty_like(self.cpos1) # self.cpos1 - self.dpos1
self.calc_boundaries(pos0Range, pos1Range)
else:
self.calc_boundaries_nosplit(pos0Range, pos1Range)
self.delta0 = (self.pos0_max - self.pos0_min) / float(bins0)
self.delta1 = (self.pos1_max - self.pos1_min) / float(bins1)
if delta_pos0 is not None:
self.calc_lut()
else:
self.calc_lut_nosplit()
self.bin_centers0 = numpy.linspace(self.pos0_min + 0.5 * self.delta0,
self.pos0_max - 0.5 * self.delta0,
bins0)
self.bin_centers1 = numpy.linspace(self.pos1_min + 0.5 * self.delta1,
self.pos1_max - 0.5 * self.delta1,
bins1)
self.unit = unit
self.lut = (self.data, self.indices, self.indptr)
self.lut_checksum = crc32(self.data)
def calc_boundaries(self, pos0Range, pos1Range):
"""
Calculate self.pos0_min/max and self.pos1_min/max
:param pos0Range: 2-tuple containing the requested range
:param pos1Range: 2-tuple containing the requested range
"""
cdef:
int idx, size = self.cpos0.size
bint check_mask = self.check_mask
mask_t[::1] cmask
position_t[::1] cpos0, dpos0, cpos0_sup, cpos0_inf
position_t[::1] cpos1, dpos1, cpos1_sup, cpos1_inf
position_t upper0, lower0, pos0_max, pos0_min, c0, d0
position_t upper1, lower1, pos1_max, pos1_min, c1, d1
bint allow_pos0_neg = self.allow_pos0_neg
bint chiDiscAtPi = self.chiDiscAtPi
cpos0_sup = self.cpos0_sup
cpos0_inf = self.cpos0_inf
cpos0 = self.cpos0
dpos0 = self.dpos0
cpos1_sup = self.cpos1_sup
cpos1_inf = self.cpos1_inf
cpos1 = self.cpos1
dpos1 = self.dpos1
pos0_min = pos0_max = cpos0[0]
pos1_min = pos1_max = cpos1[0]
if not allow_pos0_neg and pos0_min < 0:
pos0_min = pos0_max = 0
if check_mask:
cmask = self.cmask
with nogil:
for idx in range(size):
c0 = cpos0[idx]
d0 = dpos0[idx]
lower0 = c0 - d0
upper0 = c0 + d0
c1 = cpos1[idx]
d1 = dpos1[idx]
lower1 = c1 - d1
upper1 = c1 + d1
if not allow_pos0_neg and lower0 < 0:
lower0 = 0
if upper1 > (2 - chiDiscAtPi) * pi:
upper1 = (2 - chiDiscAtPi) * pi
if lower1 < (-chiDiscAtPi) * pi:
lower1 = (-chiDiscAtPi) * pi
cpos0_sup[idx] = upper0
cpos0_inf[idx] = lower0
cpos1_sup[idx] = upper1
cpos1_inf[idx] = lower1
if not (check_mask and cmask[idx]):
if upper0 > pos0_max:
pos0_max = upper0
if lower0 < pos0_min:
pos0_min = lower0
if upper1 > pos1_max:
pos1_max = upper1
if lower1 < pos1_min:
pos1_min = lower1
if pos0Range is not None:
self.pos0_min, self.pos0_maxin = pos0Range
else:
self.pos0_min = pos0_min
self.pos0_maxin = pos0_max
if pos1Range is not None:
self.pos1_min, self.pos1_maxin = pos1Range
else:
self.pos1_min = pos1_min
self.pos1_maxin = pos1_max
if (not allow_pos0_neg) and self.pos0_min < 0:
self.pos0_min = 0
self.pos0_max = calc_upper_bound(<position_t> self.pos0_maxin)
self.cpos0_sup = cpos0_sup
self.cpos0_inf = cpos0_inf
self.pos1_max = calc_upper_bound(<position_t> self.pos1_maxin)
self.cpos1_sup = cpos1_sup
self.cpos1_inf = cpos1_inf
def calc_boundaries_nosplit(self, pos0Range, pos1Range):
"""
Calculate self.pos0_min/max and self.pos1_min/max
:param pos0Range: 2-tuple containing the requested range
:param pos1Range: 2-tuple containing the requested range
"""
cdef:
int idx, size = self.cpos0.size
bint check_mask = self.check_mask
mask_t[::1] cmask
double[::1] cpos0
double[::1] cpos1
double pos0_max, pos0_min, c0
double pos1_max, pos1_min, c1
bint allow_pos0_neg = self.allow_pos0_neg
bint chiDiscAtPi = self.chiDiscAtPi
cpos0 = self.cpos0
cpos1 = self.cpos1
pos0_min = pos0_max = cpos0[0]
pos1_min = pos1_max = cpos1[0]
if not allow_pos0_neg and pos0_min < 0:
pos0_min = pos0_max = 0
if check_mask:
cmask = self.cmask
with nogil:
for idx in range(size):
c0 = cpos0[idx]
c1 = cpos1[idx]
if not allow_pos0_neg and c0 < 0:
c0 = 0
if c1 > (2 - chiDiscAtPi) * pi:
c1 = (2 - chiDiscAtPi) * pi
if c1 < (-chiDiscAtPi) * pi:
c1 = (-chiDiscAtPi) * pi
if not (check_mask and cmask[idx]):
if c0 > pos0_max:
pos0_max = c0
if c0 < pos0_min:
pos0_min = c0
if c1 > pos1_max:
pos1_max = c1
if c1 < pos1_min:
pos1_min = c1
if pos0Range is not None:
self.pos0_min, self.pos0_maxin = pos0Range
else:
self.pos0_min = pos0_min
self.pos0_maxin = pos0_max
if pos1Range is not None:
self.pos1_min, self.pos1_maxin = pos1Range
else:
self.pos1_min = pos1_min
self.pos1_maxin = pos1_max
if (not allow_pos0_neg) and self.pos0_min < 0:
self.pos0_min = 0
self.pos0_max = calc_upper_bound(<position_t> self.pos0_maxin)
self.pos1_max = calc_upper_bound(<position_t> self.pos1_maxin)
def calc_lut(self):
'calculate the max number of elements in the LUT and populate it'
cdef:
position_t delta0 = self.delta0, pos0_min = self.pos0_min, min0, max0, fbin0_min, fbin0_max
position_t delta1 = self.delta1, pos1_min = self.pos1_min, min1, max1, fbin1_min, fbin1_max
int bin0_min, bin0_max, bins0 = self.bins[0]
int bin1_min, bin1_max, bins1 = self.bins[1]
int k, idx, i, j, size = self.size, nnz
bint check_mask
position_t[::1] cpos0_sup = self.cpos0_sup
position_t[::1] cpos0_inf = self.cpos0_inf
position_t[::1] cpos1_inf = self.cpos1_inf
position_t[::1] cpos1_sup = self.cpos1_sup
int32_t[:, ::1] outmax = numpy.zeros((bins0, bins1), dtype=numpy.int32)
int32_t[::1] indptr = numpy.zeros((bins0 * bins1) + 1, dtype=numpy.int32)
int32_t[::1] indices
data_t[::1] data
mask_t[::1] cmask
acc_t inv_area, delta_left, delta_right, delta_down, delta_up
if self.check_mask:
cmask = self.cmask
check_mask = True
else:
check_mask = False
with nogil:
for idx in range(size):
if (check_mask) and (cmask[idx]):
continue
min0 = cpos0_inf[idx]
max0 = cpos0_sup[idx]
min1 = cpos1_inf[idx]
max1 = cpos1_sup[idx]
bin0_min = < int > get_bin_number(min0, pos0_min, delta0)
bin0_max = < int > get_bin_number(max0, pos0_min, delta0)
bin1_min = < int > get_bin_number(min1, pos1_min, delta1)
bin1_max = < int > get_bin_number(max1, pos1_min, delta1)
if (bin0_max < 0) or (bin0_min >= bins0) or (bin1_max < 0) or (bin1_min >= bins1):
continue
if bin0_max >= bins0:
bin0_max = bins0 - 1
if bin0_min < 0:
bin0_min = 0
if bin1_max >= bins1:
bin1_max = bins1 - 1
if bin1_min < 0:
bin1_min = 0
for i in range(bin0_min, bin0_max + 1):
for j in range(bin1_min, bin1_max + 1):
outmax[i, j] += 1
indptr = numpy.concatenate(([numpy.int32(0)],
numpy.asarray(outmax).ravel().cumsum(dtype=numpy.int32)))
self.nnz = nnz = indptr[bins0 * bins1]
self.indptr = numpy.asarray(indptr)
# Just recycle the outmax array
outmax[:, :] = 0
lut_nbytes = nnz * (sizeof(float) + sizeof(int32_t)) + bins0 * bins1 * sizeof(int32_t)
#Check we have enough memory
if (os.name == "posix"):
key_page_size = os.sysconf_names.get("SC_PAGE_SIZE", 0)
key_page_cnt = os.sysconf_names.get("SC_PHYS_PAGES",0)
if key_page_size*key_page_cnt:
try:
memsize = os.sysconf(key_page_size) * os.sysconf(key_page_cnt)
except OSError:
pass
else:
if memsize < lut_nbytes:
raise MemoryError("CSR Matrix is %sGB whereas the memory of the system is only %s" %
(lut_nbytes>>30, memsize>>30))
# else hope we have enough memory
data = numpy.zeros(nnz, dtype=numpy.float32)
indices = numpy.zeros(nnz, dtype=numpy.int32)
with nogil:
for idx in range(size):
if (check_mask) and cmask[idx]:
continue
min0 = cpos0_inf[idx]
max0 = cpos0_sup[idx]
min1 = cpos1_inf[idx]
max1 = cpos1_sup[idx]
fbin0_min = get_bin_number(min0, pos0_min, delta0)
fbin0_max = get_bin_number(max0, pos0_min, delta0)
fbin1_min = get_bin_number(min1, pos1_min, delta1)
fbin1_max = get_bin_number(max1, pos1_min, delta1)
bin0_min = < int > fbin0_min
bin0_max = < int > fbin0_max
bin1_min = < int > fbin1_min
bin1_max = < int > fbin1_max
if (bin0_max < 0) or (bin0_min >= bins0) or (bin1_max < 0) or (bin1_min >= bins1):
continue
if bin0_max >= bins0:
bin0_max = bins0 - 1
if bin0_min < 0:
bin0_min = 0
if bin1_max >= bins1:
bin1_max = bins1 - 1
if bin1_min < 0:
bin1_min = 0
if bin0_min == bin0_max:
if bin1_min == bin1_max:
# All pixel is within a single bin
k = outmax[bin0_min, bin1_min]
indices[indptr[bin0_min * bins1 + bin1_min] + k] = idx
data[indptr[bin0_min * bins1 + bin1_min] + k] = onef
outmax[bin0_min, bin1_min] = k + 1
else:
# spread on more than 2 bins
delta_down = (<acc_t> (bin1_min + 1)) - fbin1_min
delta_up = fbin1_max - bin1_max
inv_area = 1.0 / (fbin1_max - fbin1_min)
k = outmax[bin0_min, bin1_min]
indices[indptr[bin0_min * bins1 + bin1_min] + k] = idx
data[indptr[bin0_min * bins1 + bin1_min] + k] = inv_area * delta_down
outmax[bin0_min, bin1_min] = k + 1
k = outmax[bin0_min, bin1_max]
indices[indptr[bin0_min * bins1 + bin1_max] + k] = idx
data[indptr[bin0_min * bins1 + bin1_max] + k] = inv_area * delta_up
outmax[bin0_min, bin1_max] = k + 1
for j in range(bin1_min + 1, bin1_max):
k = outmax[bin0_min, j]
indices[indptr[bin0_min * bins1 + j] + k] = idx
data[indptr[bin0_min * bins1 + j] + k] = inv_area
outmax[bin0_min, j] = k + 1
else: # spread on more than 2 bins in dim 0
if bin1_min == bin1_max:
# All pixel fall on 1 bins in dim 1
inv_area = 1.0 / (fbin0_max - fbin0_min)
delta_left = (<acc_t> (bin0_min + 1)) - fbin0_min
k = outmax[bin0_min, bin1_min]
indices[indptr[bin0_min * bins1 + bin1_min] + k] = idx
data[indptr[bin0_min * bins1 + bin1_min] + k] = inv_area * delta_left
outmax[bin0_min, bin1_min] = k + 1
delta_right = fbin0_max - (<acc_t> bin0_max)
k = outmax[bin0_max, bin1_min]
indices[indptr[bin0_max * bins1 + bin1_min] + k] = idx
data[indptr[bin0_max * bins1 + bin1_min] + k] = inv_area * delta_right
outmax[bin0_max, bin1_min] = k + 1
for i in range(bin0_min + 1, bin0_max):
k = outmax[i, bin1_min]
indices[indptr[i * bins1 + bin1_min] + k] = idx
data[indptr[i * bins1 + bin1_min] + k] = inv_area
outmax[i, bin1_min] = k + 1
else:
# spread on n pix in dim0 and m pixel in dim1:
delta_left = (<acc_t> (bin0_min + 1)) - fbin0_min
delta_right = fbin0_max - (<acc_t> bin0_max)
delta_down = (<acc_t> (bin1_min + 1)) - fbin1_min
delta_up = fbin1_max - (<acc_t> bin1_max)
inv_area = 1.0 / ((fbin0_max - fbin0_min) * (fbin1_max - fbin1_min))
k = outmax[bin0_min, bin1_min]
indices[indptr[bin0_min * bins1 + bin1_min] + k] = idx
data[indptr[bin0_min * bins1 + bin1_min] + k] = inv_area * delta_left * delta_down
outmax[bin0_min, bin1_min] = k + 1
k = outmax[bin0_min, bin1_max]
indices[indptr[bin0_min * bins1 + bin1_max] + k] = idx
data[indptr[bin0_min * bins1 + bin1_max] + k] = inv_area * delta_left * delta_up
outmax[bin0_min, bin1_max] = k + 1
k = outmax[bin0_max, bin1_min]
indices[indptr[bin0_max * bins1 + bin1_min] + k] = idx
data[indptr[bin0_max * bins1 + bin1_min] + k] = inv_area * delta_right * delta_down
outmax[bin0_max, bin1_min] = k + 1
k = outmax[bin0_max, bin1_max]
indices[indptr[bin0_max * bins1 + bin1_max] + k] = idx
data[indptr[bin0_max * bins1 + bin1_max] + k] = inv_area * delta_right * delta_up
outmax[bin0_max, bin1_max] = k + 1
for i in range(bin0_min + 1, bin0_max):
k = outmax[i, bin1_min]
indices[indptr[i * bins1 + bin1_min] + k] = idx
data[indptr[i * bins1 + bin1_min] + k] = inv_area * delta_down
outmax[i, bin1_min] = k + 1
for j in range(bin1_min + 1, bin1_max):
k = outmax[i, j]
indices[indptr[i * bins1 + j] + k] = idx
data[indptr[i * bins1 + j] + k] = inv_area
outmax[i, j] = k + 1
k = outmax[i, bin1_max]
indices[indptr[i * bins1 + bin1_max] + k] = idx
data[indptr[i * bins1 + bin1_max] + k] = inv_area * delta_up
outmax[i, bin1_max] = k + 1
for j in range(bin1_min + 1, bin1_max):
k = outmax[bin0_min, j]
indices[indptr[bin0_min * bins1 + j] + k] = idx
data[indptr[bin0_min * bins1 + j] + k] = inv_area * delta_left
outmax[bin0_min, j] = k + 1
k = outmax[bin0_max, j]
indices[indptr[bin0_max * bins1 + j] + k] = idx
data[indptr[bin0_max * bins1 + j] + k] = inv_area * delta_right
outmax[bin0_max, j] = k + 1
self.data = numpy.asarray(data)
self.indices = numpy.asarray(indices)
def calc_lut_nosplit(self):
"""
"calculate the max number of elements in the LUT and populate it
This is the version which does not split pixels.
"""
cdef:
float delta0 = self.delta0, pos0_min = self.pos0_min, c0, fbin0
float delta1 = self.delta1, pos1_min = self.pos1_min, c1, fbin1
int bin0, bins0 = self.bins[0]
int bin1, bins1 = self.bins[1]
int32_t k, idx, size = self.size, nnz
bint check_mask
double[::1] cpos0 = self.cpos0
double[::1] cpos1 = self.cpos1
int32_t[:, ::1] outmax = numpy.zeros((bins0, bins1), dtype=numpy.int32)
int32_t[::1] indptr, indices
float[::1] data
mask_t[::1] cmask
if self.check_mask:
cmask = self.cmask
check_mask = True
else:
check_mask = False
with nogil:
for idx in range(size):
if (check_mask) and (cmask[idx]):
continue
c0 = cpos0[idx]
c1 = cpos1[idx]
bin0 = < int > get_bin_number(c0, pos0_min, delta0)
bin1 = < int > get_bin_number(c1, pos1_min, delta1)
if (bin0 < 0) or (bin0 >= bins0) or (bin1 < 0) or (bin1 >= bins1):
continue
outmax[bin0, bin1] += 1
indptr = numpy.concatenate(([numpy.int32(0)],
numpy.asarray(outmax).ravel().cumsum(dtype=numpy.int32)))
self.nnz = nnz = indptr[bins0 * bins1]
self.indptr = numpy.asarray(indptr)
# Just recycle the outmax array
outmax[:, :] = 0
lut_nbytes = nnz * (sizeof(float) + sizeof(int32_t)) + bins0 * bins1 * sizeof(int32_t)
#Check we have enough memory
if (os.name == "posix"):
key_page_size = os.sysconf_names.get("SC_PAGE_SIZE", 0)
key_page_cnt = os.sysconf_names.get("SC_PHYS_PAGES",0)
if key_page_size*key_page_cnt:
try:
memsize = os.sysconf(key_page_size) * os.sysconf(key_page_cnt)
except OSError:
pass
else:
if memsize < lut_nbytes:
raise MemoryError("CSR Matrix is %.3fGB whereas the memory of the system is only %s" %
(lut_nbytes/2.**30, memsize/2.**30))
# else hope we have enough memory
data = numpy.zeros(nnz, dtype=numpy.float32)
indices = numpy.zeros(nnz, dtype=numpy.int32)
with nogil:
for idx in range(size):
if (check_mask) and cmask[idx]:
continue
c0 = cpos0[idx]
c1 = cpos1[idx]
fbin0 = get_bin_number(c0, pos0_min, delta0)
fbin1 = get_bin_number(c1, pos1_min, delta1)
bin0 = < int > fbin0
bin1 = < int > fbin1
if (bin0 < 0) or (bin0 >= bins0) or (bin1 < 0) or (bin1 >= bins1):
continue
# No pixel splitting: All pixel is within a single bin
k = outmax[bin0, bin1]
indices[indptr[bin0 * bins1 + bin1] + k] = idx
data[indptr[bin0 * bins1 + bin1] + k] = onef
outmax[bin0, bin1] += 1
self.data = numpy.asarray(data)
self.indices = numpy.asarray(indices)
def integrate(self, weights,
dummy=None,
delta_dummy=None,
dark=None,
flat=None,
solidAngle=None,
polarization=None,
double normalization_factor=1.0,
int coef_power=1
):
"""
Actually perform the 2D integration which in this case looks more like a matrix-vector product
:param weights: input image
:type weights: ndarray
:param dummy: value for dead pixels (optional)
:type dummy: float
:param delta_dummy: precision for dead-pixel value in dynamic masking
:type delta_dummy: float
:param dark: array with the dark-current value to be subtracted (if any)
:type dark: ndarray
:param flat: array with the dark-current value to be divided by (if any)
:type flat: ndarray
:param solidAngle: array with the solid angle of each pixel to be divided by (if any)
:type solidAngle: ndarray
:param polarization: array with the polarization correction values to be divided by (if any)
:type polarization: ndarray
:param normalization_factor: divide the valid result by this value
:param coef_power: set to 2 for variance propagation, leave to 1 for mean calculation
:return: I(2d), bin_centers0(1d), bin_centers1(1d), weighted histogram(2d), unweighted histogram (2d)
:rtype: 5-tuple of ndarrays
"""
cdef:
int32_t i = 0, j = 0, idx = 0, bins = self.bins[0] * self.bins[1], size = self.size
acc_t acc_data = 0.0, acc_count = 0.0, epsilon = 1e-10, coef = 0.0
data_t data = 0.0, cdummy = 0.0, cddummy = 0.0
bint do_dummy = False, do_dark = False, do_flat = False, do_polarization = False, do_solidAngle = False
acc_t[::1] sum_data = numpy.empty(bins, dtype=acc_d)
acc_t[::1] sum_count = numpy.empty(bins, dtype=acc_d)
data_t[::1] merged = numpy.empty(bins, dtype=data_d)
data_t[::1] ccoef = self.data,
data_t[::1] cdata, tdata, cflat, cdark, csolidAngle, cpolarization
int32_t[::1] indices = self.indices, indptr = self.indptr
assert weights.size == size, "weights size"
if dummy is not None:
do_dummy = True
cdummy = <data_t> float(dummy)
if delta_dummy is None:
cddummy = <data_t> 0.0
else:
cddummy = <data_t> float(delta_dummy)
else:
do_dummy = False
cdummy = <data_t> float(self.empty)
if flat is not None:
do_flat = True
assert flat.size == size, "flat-field array size"
cflat = numpy.ascontiguousarray(flat.ravel(), dtype=numpy.float32)
if dark is not None:
do_dark = True
assert dark.size == size, "dark current array size"
cdark = numpy.ascontiguousarray(dark.ravel(), dtype=numpy.float32)
if solidAngle is not None:
do_solidAngle = True
assert solidAngle.size == size, "Solid angle array size"
csolidAngle = numpy.ascontiguousarray(solidAngle.ravel(), dtype=numpy.float32)
if polarization is not None:
do_polarization = True
assert polarization.size == size, "polarization array size"
cpolarization = numpy.ascontiguousarray(polarization.ravel(), dtype=numpy.float32)
if (do_dark + do_flat + do_polarization + do_solidAngle):
tdata = numpy.ascontiguousarray(weights.ravel(), dtype=data_d)
cdata = numpy.empty(size, dtype=data_d)
if do_dummy:
for i in prange(size, nogil=True, schedule="static"):
data = tdata[i]
if ((cddummy != 0) and (fabs(data - cdummy) > cddummy)) or ((cddummy == 0) and (data != cdummy)):
# Nota: -= and /= operatore are seen as reduction in cython parallel.
if do_dark:
data = data - cdark[i]
if do_flat:
data = data / cflat[i]
if do_polarization:
data = data / cpolarization[i]
if do_solidAngle:
data = data / csolidAngle[i]
cdata[i] = data
else:
# set all dummy_like values to cdummy. simplifies further processing
cdata[i] = cdummy
else:
for i in prange(size, nogil=True, schedule="static"):
data = tdata[i]
if do_dark:
data = data - cdark[i]
if do_flat:
data = data / cflat[i]
if do_polarization:
data = data / cpolarization[i]
if do_solidAngle:
data = data / csolidAngle[i]
cdata[i] = data
else:
if do_dummy:
tdata = numpy.ascontiguousarray(weights.ravel(), dtype=data_d)
cdata = numpy.empty(size, dtype=data_d)
for i in prange(size, nogil=True, schedule="static"):
data = tdata[i]
if ((cddummy != 0) and (fabs(data - cdummy) > cddummy)) or ((cddummy == 0) and (data != cdummy)):
cdata[i] = data
else:
cdata[i] = cdummy
else:
cdata = numpy.ascontiguousarray(weights.ravel(), dtype=data_d)
for i in prange(bins, nogil=True, schedule="guided"):
acc_data = 0.0
acc_count = 0.0
for j in range(indptr[i], indptr[i + 1]):
idx = indices[j]
coef = ccoef[j]
if coef == 0.0:
continue
data = cdata[idx]
if do_dummy and (data == cdummy):
continue
acc_data = acc_data + (coef ** coef_power) * data
acc_count = acc_count + coef
sum_data[i] = acc_data
sum_count[i] = acc_count
if acc_count > epsilon:
merged[i] = acc_data / acc_count / normalization_factor
else:
merged[i] = cdummy
return (numpy.asarray(merged).reshape(self.bins).T,
self.bin_centers0,
self.bin_centers1,
numpy.asarray(sum_data).reshape(self.bins).T,
numpy.asarray(sum_count).reshape(self.bins).T)
@property
@deprecated(replacement="bin_centers0", since_version="0.16", only_once=True)
def outPos0(self):
return self.bin_centers0
@property
@deprecated(replacement="bin_centers1", since_version="0.16", only_once=True)
def outPos1(self):
return self.bin_centers1
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