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mod_pattern.py
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# -------------------------------------------------------------------------
# Copyright (C) 2005-2013 Martin Strohalm <www.mmass.org>
# This program is free software; you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation; either version 3 of the License, or
# (at your option) any later version.
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
# Complete text of GNU GPL can be found in the file LICENSE.TXT in the
# main directory of the program.
# -------------------------------------------------------------------------
# load libs
import
math
import
numpy
# load stopper
from
mod_stopper
import
CHECK_FORCE_QUIT
# load blocks
import
blocks
# load objects
import
obj_compound
import
obj_peaklist
# load modules
import
calculations
import
mod_basics
import
mod_signal
import
mod_peakpicking
# ISOTOPIC PATTERN FUNCTIONS
# --------------------------
def
pattern
(
compound
,
fwhm
=
0.1
,
threshold
=
0.01
,
charge
=
0
,
agentFormula
=
'H'
,
agentCharge
=
1
,
real
=
True
,
model
=
'gaussian'
):
"""Calculate isotopic pattern for given compound.
compound (str or mspy.compound) - compound
fwhm (float) - gaussian peak width
threshold (float) - relative intensity threshold for isotopes (in %/100)
charge (int) - charge to be calculated
agentFormula (str or mspy.compound) - charging agent formula
agentCharge (int) - charging agent unit charge
real (bool) - get real peaks from calculated profile
model (gaussian, lorentzian, gausslorentzian) - peak shape function
"""
# check compound
if
not
isinstance
(
compound
,
obj_compound
.
compound
):
compound
=
obj_compound
.
compound
(
compound
)
# check agent formula
if
agentFormula
!=
'e'
and
not
isinstance
(
agentFormula
,
obj_compound
.
compound
):
agentFormula
=
obj_compound
.
compound
(
agentFormula
)
# add charging agent to compound
if
charge
and
agentFormula
!=
'e'
:
formula
=
compound
.
formula
()
for
atom
,
count
in
agentFormula
.
composition
().
items
():
formula
+=
'%s%d'
%
(
atom
,
count
*
(
charge
/
agentCharge
))
compound
=
obj_compound
.
compound
(
formula
)
# get composition and check for negative atom counts
composition
=
compound
.
composition
()
for
atom
in
composition
:
if
composition
[
atom
]
<
0
:
raise
ValueError
(
'Pattern cannot be calculated for this formula! --> '
+
compound
.
formula
())
# set internal thresholds
internalThreshold
=
threshold
/
100.
groupingWindow
=
fwhm
/
4.
# calculate pattern
finalPattern
=
[]
for
atom
in
composition
:
# get isotopic profile for current atom or specified isotope only
atomCount
=
composition
[
atom
]
atomPattern
=
[]
match
=
mod_basics
.
ELEMENT_PATTERN
.
match
(
atom
)
symbol
,
massNumber
,
tmp
=
match
.
groups
()
if
massNumber
:
isotope
=
blocks
.
elements
[
symbol
].
isotopes
[
int
(
massNumber
)]
atomPattern
.
append
([
isotope
[
0
],
1.
])
# [mass, abundance]
else
:
for
massNumber
,
isotope
in
blocks
.
elements
[
atom
].
isotopes
.
items
():
if
isotope
[
1
]
>
0.
:
atomPattern
.
append
(
list
(
isotope
))
# [mass, abundance]
# add atoms
for
i
in
range
(
atomCount
):
CHECK_FORCE_QUIT
()
# if pattern is empty (first atom) add current atom pattern
if
len
(
finalPattern
)
==
0
:
finalPattern
=
_normalize
(
atomPattern
)
continue
# add atom to each peak of final pattern
currentPattern
=
[]
for
patternIsotope
in
finalPattern
:
# skip peak under relevant abundance threshold
if
patternIsotope
[
1
]
<
internalThreshold
:
continue
# add each isotope of current atom to peak
for
atomIsotope
in
atomPattern
:
mass
=
patternIsotope
[
0
]
+
atomIsotope
[
0
]
abundance
=
patternIsotope
[
1
]
*
atomIsotope
[
1
]
currentPattern
.
append
([
mass
,
abundance
])
# group isotopes and normalize pattern
finalPattern
=
_consolidate
(
currentPattern
,
groupingWindow
)
finalPattern
=
_normalize
(
finalPattern
)
# correct charge
if
charge
:
for
i
in
range
(
len
(
finalPattern
)):
finalPattern
[
i
][
0
]
=
(
finalPattern
[
i
][
0
]
-
mod_basics
.
ELECTRON_MASS
*
charge
)
/
abs
(
charge
)
# group isotopes
finalPattern
=
_consolidate
(
finalPattern
,
groupingWindow
)
# get real peaks from profile
if
real
:
prof
=
profile
(
finalPattern
,
fwhm
=
fwhm
,
points
=
100
,
model
=
model
)
finalPattern
=
[]
for
isotope
in
mod_signal
.
maxima
(
prof
):
finalPattern
.
append
(
isotope
)
centroid
=
mod_signal
.
centroid
(
prof
,
isotope
[
0
],
isotope
[
1
]
*
0.99
)
if
abs
(
centroid
-
isotope
[
0
])
<
fwhm
/
100.
:
finalPattern
[
-
1
][
0
]
=
centroid
# normalize pattern
finalPattern
=
_normalize
(
finalPattern
)
# discard peaks below threshold
filteredPeaks
=
[]
for
peak
in
finalPattern
:
if
peak
[
1
]
>=
threshold
:
filteredPeaks
.
append
(
list
(
peak
))
finalPattern
=
filteredPeaks
return
finalPattern
# ----
def
gaussian
(
x
,
minY
,
maxY
,
fwhm
=
0.1
,
points
=
500
):
"""Make Gaussian peak.
mz (float) - peak m/z value
minY (float) - min y-value
maxY (float) - max y-value
fwhm (float) - peak fwhm value
points (int) - number of points
"""
# make gaussian
return
calculations
.
signal_gaussian
(
float
(
x
),
float
(
minY
),
float
(
maxY
),
float
(
fwhm
),
int
(
points
))
# ----
def
lorentzian
(
x
,
minY
,
maxY
,
fwhm
=
0.1
,
points
=
500
):
"""Make Lorentzian peak.
mz (float) - peak m/z value
minY (float) - min y-value
maxY (float) - max y-value
fwhm (float) - peak fwhm value
points (int) - number of points
"""
# make gaussian
return
calculations
.
signal_lorentzian
(
float
(
x
),
float
(
minY
),
float
(
maxY
),
float
(
fwhm
),
int
(
points
))
# ----
def
gausslorentzian
(
x
,
minY
,
maxY
,
fwhm
=
0.1
,
points
=
500
):
"""Make half-Gaussian half-Lorentzian peak.
mz (float) - peak m/z value
minY (float) - min y-value
maxY (float) - max y-value
fwhm (float) - peak fwhm value
points (int) - number of points
"""
# make gaussian
return
calculations
.
signal_gausslorentzian
(
float
(
x
),
float
(
minY
),
float
(
maxY
),
float
(
fwhm
),
int
(
points
))
# ----
def
profile
(
peaklist
,
fwhm
=
0.1
,
points
=
10
,
noise
=
0
,
raster
=
None
,
forceFwhm
=
False
,
model
=
'gaussian'
):
"""Make profile spectrum for given peaklist.
peaklist (mspy.peaklist) - peaklist
fwhm (float) - default peak fwhm
points (int) - default number of points per peak width (not used if raster is given)
noise (float) - random noise width
raster (1D numpy.array) - m/z raster
forceFwhm (bool) - use default fwhm for all peaks
model (gaussian, lorentzian, gausslorentzian) - peak shape function
"""
# check peaklist type
if
not
isinstance
(
peaklist
,
obj_peaklist
.
peaklist
):
peaklist
=
obj_peaklist
.
peaklist
(
peaklist
)
# check raster type
if
raster
!=
None
and
not
isinstance
(
raster
,
numpy
.
ndarray
):
raster
=
numpy
.
array
(
raster
)
# get peaks
peaks
=
[]
for
peak
in
peaklist
:
peaks
.
append
([
peak
.
mz
,
peak
.
intensity
,
peak
.
fwhm
])
if
forceFwhm
or
not
peak
.
fwhm
:
peaks
[
-
1
][
2
]
=
fwhm
# get model
shape
=
0
if
model
==
'gaussian'
:
shape
=
0
elif
model
==
'lorentzian'
:
shape
=
1
elif
model
==
'gausslorentzian'
:
shape
=
2
# make profile
if
raster
!=
None
:
data
=
calculations
.
signal_profile_to_raster
(
numpy
.
array
(
peaks
),
raster
,
float
(
noise
),
shape
)
else
:
data
=
calculations
.
signal_profile
(
numpy
.
array
(
peaks
),
int
(
points
),
float
(
noise
),
shape
)
# make baseline
baseline
=
[]
for
peak
in
peaklist
:
if
not
baseline
or
baseline
[
-
1
][
0
]
!=
peak
.
mz
:
baseline
.
append
([
peak
.
mz
,
-
peak
.
base
])
# apply baseline
data
=
mod_signal
.
subbase
(
data
,
numpy
.
array
(
baseline
))
return
data
# ----
def
matchpattern
(
signal
,
pattern
,
pickingHeight
=
0.75
,
baseline
=
None
):
"""Compare signal with given isotopic pattern.
signal (numpy array) - signal data points
pattern (list of [mz,intens]) - theoretical pattern to compare
pickingHeight (float) - centroiding height
baseline (numpy array) - signal baseline
"""
# check signal type
if
not
isinstance
(
signal
,
numpy
.
ndarray
):
raise
TypeError
,
"Signal must be NumPy array!"
# check baseline type
if
baseline
!=
None
and
not
isinstance
(
baseline
,
numpy
.
ndarray
):
raise
TypeError
,
"Baseline must be NumPy array!"
# check signal data
if
len
(
signal
)
==
0
:
return
None
# get signal intensites for isotopes
peaklist
=
[]
for
isotope
in
pattern
:
peak
=
mod_peakpicking
.
labelpeak
(
signal
=
signal
,
mz
=
isotope
[
0
],
pickingHeight
=
pickingHeight
,
baseline
=
baseline
)
if
peak
:
peaklist
.
append
(
peak
.
intensity
)
else
:
peaklist
.
append
(
0.0
)
# normalize peaklist
basepeak
=
max
(
peaklist
)
if
basepeak
:
peaklist
=
[
p
/
basepeak
for
p
in
peaklist
]
else
:
return
None
# get rms
rms
=
0
for
x
,
isotope
in
enumerate
(
pattern
):
rms
+=
(
isotope
[
1
]
-
peaklist
[
x
])
**
2
if
len
(
pattern
)
>
1
:
rms
=
math
.
sqrt
(
rms
/
(
len
(
pattern
)
-
1
))
return
rms
# ----
def
_consolidate
(
isotopes
,
window
):
"""Group peaks within specified window.
isotopes: (list of [mass, abundance]) isotopes list
window: (float) grouping window
"""
if
isinstance
(
isotopes
,
numpy
.
ndarray
):
isotopes
=
isotopes
.
tolist
()
isotopes
.
sort
()
f
=
(
window
/
1.66
)
*
(
window
/
1.66
)
buff
=
[]
buff
.
append
(
isotopes
[
0
])
for
current
in
isotopes
[
1
:]:
previous
=
buff
[
-
1
]
if
(
previous
[
0
]
+
window
)
>=
current
[
0
]:
mass
=
(
previous
[
0
]
*
previous
[
1
]
+
current
[
0
]
*
current
[
1
])
/
(
previous
[
1
]
+
current
[
1
])
#ab1 = previous[1] * math.exp( - ((previous[0]-mass)*(previous[0]-mass)) / f )
#ab2 = current[1] * math.exp( - ((current[0]-mass)*(current[0]-mass)) / f )
#buff[-1] = [mass, ab1+ab2]
buff
[
-
1
]
=
[
mass
,
previous
[
1
]
+
current
[
1
]]
else
:
buff
.
append
(
current
)
return
buff
# ----
def
_normalize
(
data
):
"""Normalize data."""
# get maximum Y
maximum
=
data
[
0
][
1
]
for
item
in
data
:
if
item
[
1
]
>
maximum
:
maximum
=
item
[
1
]
# normalize data data
for
x
in
range
(
len
(
data
)):
data
[
x
][
1
]
/=
maximum
return
data
# ----
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