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SANSStitch v1

Summary

Stitch the high angle and low angle banks of a workspace together

Properties

Name

Direction

Type

Default

Description

HABCountsSample

Input

MatrixWorkspace

Mandatory

High angle bank sample workspace in Q

HABNormSample

Input

MatrixWorkspace

Mandatory

High angle bank normalization workspace in Q

LABCountsSample

Input

MatrixWorkspace

Mandatory

Low angle bank sample workspace in Q

LABNormSample

Input

MatrixWorkspace

Mandatory

Low angle bank normalization workspace in Q

ProcessCan

Input

boolean

False

Process the can

HABCountsCan

Input

MatrixWorkspace

High angle bank sample workspace in Q

HABNormCan

Input

MatrixWorkspace

High angle bank normalization workspace in Q

LABCountsCan

Input

MatrixWorkspace

Low angle bank sample workspace in Q

LABNormCan

Input

MatrixWorkspace

Low angle bank normalization workspace in Q

Mode

Input

string

None

What to fit. Free parameter(s). Allowed values: [‘ShiftOnly’, ‘ScaleOnly’, ‘Both’, ‘None’]

ScaleFactor

Input

number

Optional

Optional scaling factor

ShiftFactor

Input

number

Optional

Optional shift factor

FitMin

Input

number

0

Optional minimum q for fit

FitMax

Input

number

1000

Optional maximum q for fit

MergeMask

Input

boolean

False

Controls whether the user has manually specified the merge region

MergeMin

Input

number

0

The minimum of the merge region in q

MergeMax

Input

number

1000

The maximum of the merge region in q

OutputWorkspace

Output

MatrixWorkspace

Mandatory

Stitched high and low Q 1-D data

OutScaleFactor

Output

number

Applied scale factor

OutShiftFactor

Output

number

Applied shift factor

Description

This algorithm is used to stitch together reduced data typically provided by Q1D v2. Data from high-angle and low-angle banks in a SANS experiment can be stitched together using this algorithm.

Merging of inputs is achieved using the following foruma, where C denotes counts, N denotes normalization and f and r relate to forward (high-angle) and rear (low-angle) respectively:

\[\frac{C_f(Q)+(shift\cdot N_f(Q))+C_r(Q)}{\frac{N_f(Q)}{scale} + N_r(Q)}\]

Fit Modes

There are 4 available fit modes used to scale and shift the high angle bank data so that it can be stitched together with the low angle bank data. Where fitting is required Fit v1 is used with a composite function comprised of a FlatBackground and TabulatedFunction. In all cases the shift and scale are used to alter the counts and errors for the high angle bank.

None is the mode for no fit determined scaling or shifting. In this case the ScaleFactor and ShiftFactor properties must both be provided. With Both, fitting is used to establish optimum parameters for both the scaling and shifting of the high angle bank data. ScaleOnly mode ties the shift, so ShiftFactor must be provided. ShiftOnly mode ties the scale so ScaleFactor must be provided.

Can Runs

When can runs are provided they are processed separately using the same merge formula above, and then subtracted from the processed sample run. If can runs are provided as inputs then the scale and shift factors are determined as part of fitting by operating on a workspace calculated from:

\[\frac{C_{sample}(Q)}{N_{sample}(Q)} - \frac{C_{can}(Q)}{N_{can}(Q)}\]

This is analogous to how Q1D v2 operates on input workspaces.

Merging of front and rear banks for the can is achieved using a different form from that above.

\[\frac{C_f(Q)+C_r(Q)}{\frac{N_f(Q)}{scale} + N_r(Q)}\]

where C denotes counts, N denotes normalization and f and r relate to forward (high-angle) and rear (low-angle) respectively. The can workspace is subtracted from the merged sample workspace to generate the output.

Workflow

../_images/SANSStitch-v1_wkflw.svg

Usage

Example - Simple shift:

hab_counts = CreateWorkspace(DataX=range(4,10), DataY=[1]*5, UnitX='MomentumTransfer')
hab_norm = CreateWorkspace(DataX=range(4,10), DataY=[1]*5, UnitX='MomentumTransfer')
lab_counts = CreateWorkspace(DataX=range(0,6), DataY=[6]*5, UnitX='MomentumTransfer')
lab_norm = CreateWorkspace(DataX=range(0,6), DataY=[1]*5, UnitX='MomentumTransfer')

uniform_binning = [0, 1, 10]
hab_counts = Rebin(hab_counts, Params=uniform_binning)
hab_norm = Rebin(hab_norm, Params=uniform_binning)
lab_counts = Rebin(lab_counts, Params=uniform_binning)
lab_norm = Rebin(lab_norm, Params=uniform_binning)

stitched, scale, shift = SANSStitch(HABCountsSample=hab_counts,
    HABNormSample=hab_norm,
    LABCountsSample=lab_counts,
    LABNormSample=lab_norm,
    Mode='ShiftOnly', ScaleFactor=1.0 )

print("{:.1f}".format(scale))
print("{:.1f}".format(shift))

Output:

1.0
6.0

Categories: AlgorithmIndex | SANS

Source

Python: SANSStitch.py