From 355a7e41f4128ac2a603d59ee0a4254c103e6459 Mon Sep 17 00:00:00 2001
From: Jan Caron <j.caron@fz-juelich.de>
Date: Mon, 10 Feb 2014 10:48:09 +0100
Subject: [PATCH] =?UTF-8?q?Intermediate=20commit=20on=20the=20way=20to=20t?=
=?UTF-8?q?he=20new=20structure.=20regrid:=20Added=20many=20scripts=20for?=
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=?UTF-8?q?=20scripts:=20Added=20Scripts=20for=20regridding=20and=20simula?=
=?UTF-8?q?ting=20stuff=20for=20cooperations=20removed:=20Unused=20test=20?=
=?UTF-8?q?scripts=20structure:=20Many=20new=20restructuring=20aspects=20a?=
=?UTF-8?q?lready=20implemented?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit
---
.hgignore | 1 -
desktop.ini | 2 +-
docs/Pyramid Logo.png | Bin 0 -> 31216 bytes
docs/_static/sphinxdoc.css | 354 ++++++
docs/conf.py | 12 +-
icon.ico => docs/icon.ico | Bin
docs/pyramid.numcore.rst | 1 -
docs/pyramid.rst | 49 +-
logfile.log | 0
pyramid/__init__.py | 20 +-
pyramid/analytic.py | 28 +-
pyramid/costfunction.py | 2 +
pyramid/datacollection.py | 55 +-
pyramid/kernel.py | 74 +-
pyramid/logging.ini | 4 +-
pyramid/magdata.py | 119 +-
pyramid/numcore/__init__.py | 2 -
pyramid/optimizer.py | 164 +--
pyramid/phasemap.py | 179 ++-
pyramid/phasemapper.py | 20 +-
pyramid/projector.py | 227 ++--
regrid/array.cpp | 46 +
regrid/array.hpp | 162 +++
regrid/gloripex.hpp | 95 ++
regrid/numpy.hpp | 93 ++
regrid/regrid.cc | 94 ++
regrid/regrid.o | Bin 0 -> 2790936 bytes
regrid/test.py | 39 +
scripts/compare methods/logfile.log | 0
scripts/create distributions/create_logo.py | 12 +-
scripts/create distributions/logfile.log | 0
scripts/edinburgh_test.py | 50 +
scripts/images_poster.py | 63 +
scripts/logfile.log | 1 +
.../ch5-0-evaluation_and_comparison.py | 186 ++-
.../paper 1/ch5-1-evaluation_real_space.py | 674 +++++-----
.../paper 1/ch5-2-evaluation_fourier_space.py | 1101 ++++++++---------
.../paper 1/ch5-3-comparison_of_methods.py | 446 ++++---
.../ch5-4-comparison_of_methods_new.py | 499 ++++----
scripts/paper 1/logfile.log | 85 ++
scripts/simple_phasemapping.py | 63 +
scripts/vtk-interpolation.py | 61 -
scripts/vtk_conversion.py | 159 +++
scripts/vtk_interpolation.py | 73 ++
scripts/vtk_to_numpy.py | 74 ++
setup.py | 2 +-
tests/test_costfunction.py | 7 +
tests/test_datacollection.py | 7 +
tests/test_forwardmodel.py | 7 +
tests/test_holoimage.py | 44 -
tests/test_holoimage/ref_holo_img_b.txt | 4 -
tests/test_holoimage/ref_holo_img_g.txt | 4 -
tests/test_holoimage/ref_holo_img_r.txt | 4 -
tests/test_kernel.py | 7 +
...test_reconstructor.py => test_optimize.py} | 0
55 files changed, 3548 insertions(+), 1927 deletions(-)
create mode 100644 docs/Pyramid Logo.png
create mode 100644 docs/_static/sphinxdoc.css
rename icon.ico => docs/icon.ico (100%)
create mode 100644 logfile.log
create mode 100644 regrid/array.cpp
create mode 100644 regrid/array.hpp
create mode 100644 regrid/gloripex.hpp
create mode 100644 regrid/numpy.hpp
create mode 100644 regrid/regrid.cc
create mode 100644 regrid/regrid.o
create mode 100644 regrid/test.py
create mode 100644 scripts/compare methods/logfile.log
create mode 100644 scripts/create distributions/logfile.log
create mode 100644 scripts/edinburgh_test.py
create mode 100644 scripts/images_poster.py
create mode 100644 scripts/logfile.log
create mode 100644 scripts/paper 1/logfile.log
create mode 100644 scripts/simple_phasemapping.py
delete mode 100644 scripts/vtk-interpolation.py
create mode 100644 scripts/vtk_conversion.py
create mode 100644 scripts/vtk_interpolation.py
create mode 100644 scripts/vtk_to_numpy.py
create mode 100644 tests/test_costfunction.py
create mode 100644 tests/test_datacollection.py
create mode 100644 tests/test_forwardmodel.py
delete mode 100644 tests/test_holoimage.py
delete mode 100644 tests/test_holoimage/ref_holo_img_b.txt
delete mode 100644 tests/test_holoimage/ref_holo_img_g.txt
delete mode 100644 tests/test_holoimage/ref_holo_img_r.txt
create mode 100644 tests/test_kernel.py
rename tests/{test_reconstructor.py => test_optimize.py} (100%)
diff --git a/.hgignore b/.hgignore
index a9ff8eb..5f75704 100644
--- a/.hgignore
+++ b/.hgignore
@@ -8,7 +8,6 @@ syntax: glob
*.so
*.os
*.c
-_*
output*
build*
Pyramid.egg-info*
\ No newline at end of file
diff --git a/desktop.ini b/desktop.ini
index e3da4d7..ed829e6 100644
--- a/desktop.ini
+++ b/desktop.ini
@@ -1,5 +1,5 @@
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diff --git a/docs/Pyramid Logo.png b/docs/Pyramid Logo.png
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diff --git a/docs/_static/sphinxdoc.css b/docs/_static/sphinxdoc.css
new file mode 100644
index 0000000..d208cf7
--- /dev/null
+++ b/docs/_static/sphinxdoc.css
@@ -0,0 +1,354 @@
+/*
+ * sphinxdoc.css_t
+ * ~~~~~~~~~~~~~~~
+ *
+ * Sphinx stylesheet -- sphinxdoc theme. Originally created by
+ * Armin Ronacher for Werkzeug.
+ *
+ * :copyright: Copyright 2007-2011 by the Sphinx team, see AUTHORS.
+ * :license: BSD, see LICENSE for details.
+ *
+ */
+
+@import url("basic.css");
+
+/* -- page layout ----------------------------------------------------------- */
+
+body {
+ font-family: 'Lucida Grande', 'Lucida Sans Unicode', 'Geneva',
+ 'Verdana', sans-serif;
+ font-size: 14px;
+ letter-spacing: -0.01em;
+ line-height: 150%;
+ text-align: center;
+ background-color: #BFD1D4;
+ color: black;
+ padding: 0;
+ border: 1px solid #aaa;
+
+ margin: 0px 80px 0px 80px;
+ min-width: 740px;
+}
+
+div.document {
+ background-color: white;
+ text-align: left;
+ background-image: url(contents.png);
+ background-repeat: repeat-x;
+}
+
+div.bodywrapper {
+ margin: 0 240px 0 0;
+ border-right: 1px solid #ccc;
+}
+
+div.body {
+ margin: 0;
+ padding: 0.5em 20px 20px 20px;
+}
+
+div.related {
+ font-size: 1em;
+}
+
+div.related ul {
+ background-image: url(navigation.png);
+ height: 2em;
+ border-top: 1px solid #ddd;
+ border-bottom: 1px solid #ddd;
+}
+
+div.related ul li {
+ margin: 0;
+ padding: 0;
+ height: 2em;
+ float: left;
+}
+
+div.related ul li.right {
+ float: right;
+ margin-right: 5px;
+}
+
+div.related ul li a {
+ margin: 0;
+ padding: 0 5px 0 5px;
+ line-height: 1.75em;
+ color: #EE9816;
+}
+
+div.related ul li a:hover {
+ color: #3CA8E7;
+}
+
+div.sphinxsidebarwrapper {
+ padding: 0;
+}
+
+div.sphinxsidebar {
+ margin: 0;
+ padding: 0.5em 15px 15px 0;
+ width: 210px;
+ float: right;
+ font-size: 1em;
+ text-align: left;
+}
+
+div.sphinxsidebar h3, div.sphinxsidebar h4 {
+ margin: 1em 0 0.5em 0;
+ font-size: 1em;
+ padding: 0.1em 0 0.1em 0.5em;
+ color: white;
+ border: 1px solid #86989B;
+ background-color: #AFC1C4;
+}
+
+div.sphinxsidebar h3 a {
+ color: white;
+}
+
+div.sphinxsidebar ul {
+ padding-left: 1.5em;
+ margin-top: 7px;
+ padding: 0;
+ line-height: 130%;
+}
+
+div.sphinxsidebar ul ul {
+ margin-left: 20px;
+}
+
+div.footer {
+ background-color: #E3EFF1;
+ color: #86989B;
+ padding: 3px 8px 3px 0;
+ clear: both;
+ font-size: 0.8em;
+ text-align: right;
+}
+
+div.footer a {
+ color: #86989B;
+ text-decoration: underline;
+}
+
+/* -- body styles ----------------------------------------------------------- */
+
+p {
+ margin: 0.8em 0 0.5em 0;
+}
+
+a {
+ color: #CA7900;
+ text-decoration: none;
+}
+
+a:hover {
+ color: #2491CF;
+}
+
+div.body a {
+ text-decoration: underline;
+}
+
+h1 {
+ margin: 0;
+ padding: 0.7em 0 0.3em 0;
+ font-size: 1.5em;
+ color: #11557C;
+ background-color: #ccd8ff;
+}
+
+h2 {
+ margin: 1.3em 0 0.2em 0;
+ font-size: 1.35em;
+ padding: 0;
+ background-color: #ccd8ff;
+}
+
+h3 {
+ margin: 1em 0 -0.3em 0;
+ font-size: 1.2em;
+ background-color: #ccd8ff;
+}
+
+h4 {
+ background-color: #ccd8ff
+}
+
+h5 {
+ background-color: #ccd8ff
+}
+
+div.body h1 a, div.body h2 a, div.body h3 a, div.body h4 a, div.body h5 a, div.body h6 a {
+ color: black!important;
+}
+
+h1 a.anchor, h2 a.anchor, h3 a.anchor, h4 a.anchor, h5 a.anchor, h6 a.anchor {
+ display: none;
+ margin: 0 0 0 0.3em;
+ padding: 0 0.2em 0 0.2em;
+ color: #aaa!important;
+}
+
+h1:hover a.anchor, h2:hover a.anchor, h3:hover a.anchor, h4:hover a.anchor,
+h5:hover a.anchor, h6:hover a.anchor {
+ display: inline;
+}
+
+h1 a.anchor:hover, h2 a.anchor:hover, h3 a.anchor:hover, h4 a.anchor:hover,
+h5 a.anchor:hover, h6 a.anchor:hover {
+ color: #777;
+ background-color: #eee;
+}
+
+a.headerlink {
+ color: #c60f0f!important;
+ font-size: 1em;
+ margin-left: 6px;
+ padding: 0 4px 0 4px;
+ text-decoration: none!important;
+}
+
+a.headerlink:hover {
+ background-color: #ccc;
+ color: white!important;
+}
+
+cite, code, tt {
+ font-family: 'Consolas', 'Deja Vu Sans Mono',
+ 'Bitstream Vera Sans Mono', monospace;
+ font-size: 1.17em;
+ letter-spacing: 0.01em;
+}
+
+tt {
+ background-color: #f2f2f2;
+ border-bottom: 1px solid #ddd;
+ color: #333;
+}
+
+tt.descname, tt.descclassname, tt.xref {
+ border: 0;
+}
+
+hr {
+ border: 1px solid #abc;
+ margin: 2em;
+}
+
+a tt {
+ border: 0;
+ color: #CA7900;
+}
+
+a tt:hover {
+ color: #2491CF;
+}
+
+th {
+ background-color: #fff3cc;
+}
+
+pre {
+ font-family: 'Consolas', 'Deja Vu Sans Mono',
+ 'Bitstream Vera Sans Mono', monospace;
+ font-size: 0.95em;
+ letter-spacing: 0.015em;
+ line-height: 120%;
+ padding: 0.5em;
+ border: 1px solid #ccc;
+ background-color: #f8f8f8;
+}
+
+pre a {
+ color: inherit;
+ text-decoration: underline;
+}
+
+td.linenos pre {
+ padding: 0.5em 0;
+}
+
+div.quotebar {
+ background-color: #f8f8f8;
+ max-width: 250px;
+ float: right;
+ padding: 2px 7px;
+ border: 1px solid #ccc;
+}
+
+div.topic {
+ background-color: #f8f8f8;
+}
+
+table {
+ border-collapse: collapse;
+ margin: 0 -0.5em 0 -0.5em;
+}
+
+table td, table th {
+ padding: 0.2em 0.5em 0.2em 0.5em;
+}
+
+div.admonition, div.warning {
+ font-size: 0.9em;
+ margin: 1em 0 1em 0;
+ border: 1px solid #86989B;
+ background-color: #f7f7f7;
+ padding: 0;
+}
+
+div.admonition p, div.warning p {
+ margin: 0.5em 1em 0.5em 1em;
+ padding: 0;
+}
+
+div.admonition pre, div.warning pre {
+ margin: 0.4em 1em 0.4em 1em;
+}
+
+div.admonition p.admonition-title,
+div.warning p.admonition-title {
+ margin: 0;
+ padding: 0.1em 0 0.1em 0.5em;
+ color: white;
+ border-bottom: 1px solid #86989B;
+ font-weight: bold;
+ background-color: #AFC1C4;
+}
+
+div.warning {
+ border: 1px solid #940000;
+}
+
+div.warning p.admonition-title {
+ background-color: #CF0000;
+ border-bottom-color: #940000;
+}
+
+div.admonition ul, div.admonition ol,
+div.warning ul, div.warning ol {
+ margin: 0.1em 0.5em 0.5em 3em;
+ padding: 0;
+}
+
+div.versioninfo {
+ margin: 1em 0 0 0;
+ border: 1px solid #ccc;
+ background-color: #DDEAF0;
+ padding: 8px;
+ line-height: 1.3em;
+ font-size: 0.9em;
+}
+
+.viewcode-back {
+ font-family: 'Lucida Grande', 'Lucida Sans Unicode', 'Geneva',
+ 'Verdana', sans-serif;
+}
+
+div.viewcode-block:target {
+ background-color: #f4debf;
+ border-top: 1px solid #ac9;
+ border-bottom: 1px solid #ac9;
+}
\ No newline at end of file
diff --git a/docs/conf.py b/docs/conf.py
index 259c097..cf56693 100644
--- a/docs/conf.py
+++ b/docs/conf.py
@@ -25,8 +25,10 @@ sys.path.insert(0, os.path.abspath('C:\Users\Jan\Home\PhD Thesis\Pyramid'))
# Add any Sphinx extension module names here, as strings. They can be extensions
# coming with Sphinx (named 'sphinx.ext.*') or your custom ones.
-extensions = ['sphinx.ext.autodoc', 'sphinx.ext.viewcode', 'rst2pdf.pdfbuilder',
- 'numpydoc']
+extensions = ['sphinx.ext.autodoc', 'sphinx.ext.viewcode', 'sphinx.ext.autosummary',
+ 'rst2pdf.pdfbuilder', 'numpydoc']
+
+numpydoc_show_class_members = False
# Add any paths that contain templates here, relative to this directory.
templates_path = ['_templates']
@@ -92,7 +94,7 @@ pygments_style = 'sphinx'
# The theme to use for HTML and HTML Help pages. See the documentation for
# a list of builtin themes.
-html_theme = 'default'
+html_theme = 'sphinxdoc'
# Theme options are theme-specific and customize the look and feel of a theme
# further. For a list of options available for each theme, see the
@@ -111,12 +113,12 @@ html_theme = 'default'
# The name of an image file (relative to this directory) to place at the top
# of the sidebar.
-#html_logo = None
+html_logo = 'Pyramid Logo.png'
# The name of an image file (within the static path) to use as favicon of the
# docs. This file should be a Windows icon file (.ico) being 16x16 or 32x32
# pixels large.
-#html_favicon = None
+html_favicon = 'icon.ico'
# Add any paths that contain custom static files (such as style sheets) here,
# relative to this directory. They are copied after the builtin static files,
diff --git a/icon.ico b/docs/icon.ico
similarity index 100%
rename from icon.ico
rename to docs/icon.ico
diff --git a/docs/pyramid.numcore.rst b/docs/pyramid.numcore.rst
index 9d3a9c3..4ad4c51 100644
--- a/docs/pyramid.numcore.rst
+++ b/docs/pyramid.numcore.rst
@@ -6,7 +6,6 @@ numcore Package
.. automodule:: pyramid.numcore
:members:
- :undoc-members:
:show-inheritance:
:special-members:
diff --git a/docs/pyramid.rst b/docs/pyramid.rst
index 3491e66..8bd3b4c 100644
--- a/docs/pyramid.rst
+++ b/docs/pyramid.rst
@@ -6,25 +6,38 @@ pyramid Package
.. automodule:: pyramid.analytic
:members:
- :undoc-members:
:show-inheritance:
:special-members:
-:mod:`holoimage` Module
------------------------
+:mod:`costfunction` Module
+--------------------------
+
+.. automodule:: pyramid.costfunction
+ :members:
+ :show-inheritance:
+ :special-members:
+
+:mod:`datacollection` Module
+----------------------------
-.. automodule:: pyramid.holoimage
+.. automodule:: pyramid.datacollection
+ :members:
+ :show-inheritance:
+ :special-members:
+
+:mod:`forwardmodel` Module
+--------------------------
+
+.. automodule:: pyramid.forwardmodel
:members:
- :undoc-members:
:show-inheritance:
:special-members:
:mod:`kernel` Module
------------------------
+--------------------
.. automodule:: pyramid.kernel
:members:
- :undoc-members:
:show-inheritance:
:special-members:
@@ -33,7 +46,6 @@ pyramid Package
.. automodule:: pyramid.magcreator
:members:
- :undoc-members:
:show-inheritance:
:special-members:
@@ -42,7 +54,14 @@ pyramid Package
.. automodule:: pyramid.magdata
:members:
- :undoc-members:
+ :show-inheritance:
+ :special-members:
+
+:mod:`optimizer` Module
+-----------------------
+
+.. automodule:: pyramid.optimizer
+ :members:
:show-inheritance:
:special-members:
@@ -51,7 +70,6 @@ pyramid Package
.. automodule:: pyramid.phasemap
:members:
- :undoc-members:
:show-inheritance:
:special-members:
@@ -60,7 +78,6 @@ pyramid Package
.. automodule:: pyramid.phasemapper
:members:
- :undoc-members:
:show-inheritance:
:special-members:
@@ -69,16 +86,6 @@ pyramid Package
.. automodule:: pyramid.projector
:members:
- :undoc-members:
- :show-inheritance:
- :special-members:
-
-:mod:`reconstructor` Module
----------------------------
-
-.. automodule:: pyramid.reconstructor
- :members:
- :undoc-members:
:show-inheritance:
:special-members:
diff --git a/logfile.log b/logfile.log
new file mode 100644
index 0000000..e69de29
diff --git a/pyramid/__init__.py b/pyramid/__init__.py
index 1097315..8d25565 100644
--- a/pyramid/__init__.py
+++ b/pyramid/__init__.py
@@ -6,9 +6,9 @@ Modules
magcreator
Create simple magnetic distributions.
magdata
- Class for the storage of magnetizatin data.
+ Class for the storage of magnetization data.
projector
- Create projections of a given magnetization distribution.
+ Class for projections of given magnetization distribution.
kernel
Class for the kernel matrix representing one magnetized pixel.
phasemapper
@@ -17,8 +17,14 @@ phasemap
Class for the storage of phase data.
analytic
Create phase maps for magnetic distributions with analytic solutions.
-holoimage
- Create holographic contour maps from a given phase map.
+datacollection
+ Class for collecting pairs of phase maps and corresponding projectors.
+forwardmodel
+ Class which represents a phase mapping strategy.
+costfunction
+ Class for the evaluation of the cost of a function.
+optimizer
+ Provides strategies for optimizing first guess magnetic distributions.
reconstructor
Reconstruct magnetic distributions from given phasemaps.
@@ -33,10 +39,8 @@ numcore
import logging, logging.config
import os
-LOGGING_CONF = os.path.join(os.path.dirname(__file__), 'logging.ini')
-logging.config.fileConfig(LOGGING_CONF)
+LOGGING_CONF = os.path.join(os.path.dirname(os.path.realpath(__file__)), 'logging.ini')
-log = logging.getLogger(__name__)
-log.info('imported package, log:'+log.name)
\ No newline at end of file
+logging.config.fileConfig(LOGGING_CONF)
diff --git a/pyramid/analytic.py b/pyramid/analytic.py
index 5445990..bf2ffcc 100644
--- a/pyramid/analytic.py
+++ b/pyramid/analytic.py
@@ -11,6 +11,8 @@ calculated by the functions from the :mod:`~pyramid.phasemapper` module.
import numpy as np
from numpy import pi
+from pyramid.phasemap import PhaseMap
+
PHI_0 = -2067.83 # magnetic flux in T*nm²
@@ -44,17 +46,17 @@ def phase_mag_slab(dim, a, phi, center, width, b_0=1):
# Function for the phase:
def phi_mag(x, y):
def F_0(x, y):
- a = np.log(x**2 + y**2 + 1E-30)
- b = np.arctan(x / (y+1E-30))
- return x*a - 2*x + 2*y*b
+ A = np.log(x**2 + y**2 + 1E-30)
+ B = np.arctan(x / (y+1E-30))
+ return x*A - 2*x + 2*y*B
return coeff * Lz * (- np.cos(phi) * (F_0(x-x0-Lx/2, y-y0-Ly/2)
- - F_0(x-x0+Lx/2, y-y0-Ly/2)
- - F_0(x-x0-Lx/2, y-y0+Ly/2)
- + F_0(x-x0+Lx/2, y-y0+Ly/2))
+ - F_0(x-x0+Lx/2, y-y0-Ly/2)
+ - F_0(x-x0-Lx/2, y-y0+Ly/2)
+ + F_0(x-x0+Lx/2, y-y0+Ly/2))
+ np.sin(phi) * (F_0(y-y0-Ly/2, x-x0-Lx/2)
- - F_0(y-y0+Ly/2, x-x0-Lx/2)
- - F_0(y-y0-Ly/2, x-x0+Lx/2)
- + F_0(y-y0+Ly/2, x-x0+Lx/2)))
+ - F_0(y-y0+Ly/2, x-x0-Lx/2)
+ - F_0(y-y0-Ly/2, x-x0+Lx/2)
+ + F_0(y-y0+Ly/2, x-x0+Lx/2)))
# Process input parameters:
z_dim, y_dim, x_dim = dim
y0 = a * (center[1] + 0.5) # y0, x0 define the center of a pixel,
@@ -66,7 +68,7 @@ def phase_mag_slab(dim, a, phi, center, width, b_0=1):
y = np.linspace(a/2, y_dim*a-a/2, num=y_dim)
xx, yy = np.meshgrid(x, y)
# Return phase:
- return phi_mag(xx, yy)
+ return PhaseMap(a, phi_mag(xx, yy))
def phase_mag_disc(dim, a, phi, center, radius, height, b_0=1):
@@ -115,7 +117,7 @@ def phase_mag_disc(dim, a, phi, center, radius, height, b_0=1):
y = np.linspace(a/2, y_dim*a-a/2, num=y_dim)
xx, yy = np.meshgrid(x, y)
# Return phase:
- return phi_mag(xx, yy)
+ return PhaseMap(a, phi_mag(xx, yy))
def phase_mag_sphere(dim, a, phi, center, radius, b_0=1):
@@ -161,7 +163,7 @@ def phase_mag_sphere(dim, a, phi, center, radius, b_0=1):
y = np.linspace(a / 2, y_dim * a - a / 2, num=y_dim)
xx, yy = np.meshgrid(x, y)
# Return phase:
- return phi_mag(xx, yy)
+ return PhaseMap(a, phi_mag(xx, yy))
def phase_mag_vortex(dim, a, center, radius, height, b_0=1):
@@ -206,4 +208,4 @@ def phase_mag_vortex(dim, a, center, radius, height, b_0=1):
y = np.linspace(a/2, y_dim*a-a/2, num=y_dim)
xx, yy = np.meshgrid(x, y)
# Return phase:
- return phi_mag(xx, yy)
+ return PhaseMap(a, phi_mag(xx, yy))
diff --git a/pyramid/costfunction.py b/pyramid/costfunction.py
index 3a5ac71..6201f91 100644
--- a/pyramid/costfunction.py
+++ b/pyramid/costfunction.py
@@ -14,12 +14,14 @@ class Costfunction:
# TODO: Docstring!
def __init__(self, y, F):
+ '''TEST DOCSTRING FOR INIT'''
# TODO: Docstring!
self.y = y # TODO: get y from phasemaps!
self.F = F # Forward Model
self.Se_inv = np.eye(len(y))
def __call__(self, x):
+ '''TEST DOCSTRING FOR CALL'''
# TODO: Docstring!
y = self.y
F = self.F
diff --git a/pyramid/datacollection.py b/pyramid/datacollection.py
index 43320b0..54d0371 100644
--- a/pyramid/datacollection.py
+++ b/pyramid/datacollection.py
@@ -1,7 +1,10 @@
# -*- coding: utf-8 -*-
-"""Class for the collection of phase maps and additional data."""
+"""This module provides the :class:`~.DataCollection` class for the collection of phase maps
+and additional data like corresponding projectors."""
+import logging
+
import numpy as np
from numbers import Number
@@ -11,6 +14,29 @@ from pyramid.projector import Projector
class DataCollection(object):
+ '''Class for collecting phase maps and corresponding projectors.
+
+ Represents a collection of (e.g. experimentally derived) phase maps, stored as
+ :class:´~.PhaseMap´ objects and corresponding projectors stored as :class:`~.Projector`
+ objects. At creation, the grid spacing `a` and the dimension `dim` of the projected grid.
+ Data can be added via the :func:`~.append` method, where a :class:`~.PhaseMap` and a
+ :class:`~.Projector` have to be given as tuple argument.
+
+ Attributes
+ ----------
+ a: float
+ The grid spacing in nm.
+ dim: tuple (N=2)
+ Dimensions of the projected grid.
+ phase_maps:
+ A list of all stored :class:`~.PhaseMap` objects.
+ projectors:
+ A list of all stored :class:`~.Projector` objects.
+ phase_vec: :class:`~numpy.ndarray` (N=1)
+ The concatenaded, vectorized phase of all ;class:`~.PhaseMap` objects.
+
+ '''
+
@property
def a(self):
return self._a
@@ -32,7 +58,8 @@ class DataCollection(object):
return [d[1] for d in self.data]
def __init__(self, a, dim):
- # TODO: Docstring!
+ self.log = logging.getLogger(__name__)
+ self.log.info('Creating '+str(self))
assert isinstance(a, Number), 'Grid spacing has to be a number!'
assert a >= 0, 'Grid spacing has to be a positive number!'
self._a = a
@@ -41,8 +68,30 @@ class DataCollection(object):
self.dim = dim
self.data = []
+ def __repr__(self):
+ self.log.info('Calling __repr__')
+ return '%s(a=%r, dim=%r)' % (self.__class__, self.a, self.dim)
+
+ def __str__(self):
+ self.log.info('Calling __str__')
+ return 'DataCollection(a=%s, dim=%s, data_count=%s)' % \
+ (self.__class__, self.a, self.dim, len(self.phase_maps))
+
def append(self, (phase_map, projector)):
- # TODO: Docstring!
+ '''Appends a data pair of phase map and projection infos to the data collection.`
+
+ Parameters
+ ----------
+ (phase_map, projector): tuple (N=2)
+ tuple which contains a :class:`~.PhaseMap` object and a :class:`~.Projector` object,
+ which should be added to the data collection.
+
+ Returns
+ -------
+ None
+
+ '''
+ self.log.info('Calling append')
assert isinstance(phase_map, PhaseMap) and isinstance(projector, Projector), \
'Argument has to be a tuple of a PhaseMap and a Projector object!'
assert phase_map.dim == self.dim, 'Added phasemap must have the same dimension!'
diff --git a/pyramid/kernel.py b/pyramid/kernel.py
index 2f1a073..b8653e3 100644
--- a/pyramid/kernel.py
+++ b/pyramid/kernel.py
@@ -1,30 +1,35 @@
# -*- coding: utf-8 -*-
-"""Class for the calculation and storage of kernel.
+"""This module provides the :class:`~.Kernel` class, representing the phase contribution of one
+single magnetized pixel."""
-This module provides the :class:`~.Kernel` class whose instances can be used to calculate and
-store the kernel matrix representing the phase of a single pixel for the convolution used in the
-phase calculation. The phasemap of a single pixel for two orthogonal directions (`u` and `v`) are
-stored seperately as 2-dimensional matrices. The Jacobi matrix of the phasemapping just depends
-on the kernel and can be calculated via the :func:`~.get_jacobi` function. Storing the Jacobi
-matrix uses much memory, thus it is also possible to directly get the multiplication of a given
-vector with the (transposed) Jacobi matrix without explicit calculation of the latter.
-It is possible to load data from and save them to NetCDF4 files. See :class:`~.Kernel` for further
-information.
-
-"""
+import logging
import numpy as np
-import pyramid.numcore as nc
+import pyramid.numcore.kernel_core as core
PHI_0 = -2067.83 # magnetic flux in T*nm²
# TODO: sign?
-class Kernel:
+class Kernel(object):
+
'''Class for calculating kernel matrices for the phase calculation.
+
+
+
+ This module provides the :class:`~.Kernel` class whose instances can be used to calculate and
+ store the kernel matrix representing the phase of a single pixel for the convolution used in the
+ phase calculation. The phasemap of a single pixel for two orthogonal directions (`u` and `v`) are
+ stored seperately as 2-dimensional matrices. The Jacobi matrix of the phasemapping just depends
+ on the kernel and can be calculated via the :func:`~.get_jacobi` function. Storing the Jacobi
+ matrix uses much memory, thus it is also possible to directly get the multiplication of a given
+ vector with the (transposed) Jacobi matrix without explicit calculation of the latter.
+ It is possible to load data from and save them to NetCDF4 files. See :class:`~.Kernel` for further
+ information.
+
Represents the phase of a single magnetized pixel for two orthogonal directions (`u` and `v`),
which can be accessed via the corresponding attributes. The default elementary geometry is
@@ -32,6 +37,18 @@ class Kernel:
magnetized pixel. During the construction, a few attributes are calculated that are used in
the convolution during phase calculation.
+
+ An instance `kernel` of the :class:`~.Kernel` class is callable via:
+
+ .. :function:: kernel(vector)
+
+ do stuff
+
+ :param str sender: do other stuff
+ :return: nix
+
+ with `vector` being a :class:`~numpy.ndarray` (N=1).
+
Attributes
----------
dim : tuple (N=2)
@@ -56,7 +73,7 @@ class Kernel:
and increasing to the next multiple of 2 (for faster FFT).
slice_fft : tuple (N=2) of :class:`slice`
A tuple of :class:`slice` objects to extract the original field of view from the increased
- size (size_fft) of the grid for the FFT-convolution.
+ size (`size_fft`) of the grid for the FFT-convolution.
'''# TODO: Can be used for several PhaseMappers via the fft arguments or via calling!
@@ -75,6 +92,8 @@ class Kernel:
The elementary geometry of the single magnetized pixel.
''' # TODO: Docstring
+ self.log = logging.getLogger(__name__)
+ self.log.info('Calling __init__')
# TODO: Check if b_0 has an influence or is forgotten
# Function for the phase of an elementary geometry:
def get_elementary_phase(geometry, n, m, a):
@@ -95,7 +114,7 @@ class Kernel:
self.geometry = geometry
self.b_0 = b_0
# Calculate kernel (single pixel phase):
- coeff = -a**2 / (2*PHI_0)
+ coeff = -a**2 * b_0 / (2*PHI_0)
v_dim, u_dim = dim
u = np.linspace(-(u_dim-1), u_dim-1, num=2*u_dim-1)
v = np.linspace(-(v_dim-1), v_dim-1, num=2*v_dim-1)
@@ -108,22 +127,33 @@ class Kernel:
self.slice_fft = (slice(dim[0]-1, 2*dim[0]-1), slice(dim[1]-1, 2*dim[1]-1))
self.u_fft = np.fft.rfftn(self.u, self.dim_fft)
self.v_fft = np.fft.rfftn(self.v, self.dim_fft)
+ self.log.info('Created '+str(self))
def __call__(self, x):
+ '''Test'''
+ self.log.info('Calling __call__')
if self.numcore:
return self._multiply_jacobi_core(x)
else:
return self._multiply_jacobi(x)
# TODO: Bei __init__ variable auf die entsprechende Funktion setzen.
+ def __repr__(self):
+ self.log.info('Calling __repr__')
+ return '%s(a=%r, dim=%r, b_0=%r, numcore=%r, geometry=%r)' % \
+ (self.__class__, self.a, self.dim, self.b_0, self.numcore, self.geometry)
- def jac_dot(self, vector):
+ def jac_dot(self, vector):
+ '''TEST'''# TODO: Docstring
+ self.log.info('Calling jac_dot')
if self.numcore:
return self._multiply_jacobi_core(vector)
else:
return self._multiply_jacobi(vector)
def jac_T_dot(self, vector):
+ # TODO: Docstring
+ self.log.info('Calling jac_dot_T')
return self._multiply_jacobi_T(vector)
def _multiply_jacobi(self, vector):
@@ -141,7 +171,8 @@ class Kernel:
result : :class:`~numpy.ndarray` (N=1)
Product of the Jacobi matrix (which is not explicitely calculated) with the vector.
- '''
+ '''# TODO: move!
+ self.log.info('Calling _multiply_jacobi')
v_dim, u_dim = self.dim
size = v_dim * u_dim
assert len(vector) == 2*size, 'vector size not compatible!'
@@ -173,7 +204,8 @@ class Kernel:
Product of the transposed Jacobi matrix (which is not explicitely calculated) with
the vector.
- '''
+ '''# TODO: move!
+ self.log.info('Calling _multiply_jacobi_T')
v_dim, u_dim = self.dim
size = v_dim * u_dim
assert len(vector) == size, 'vector size not compatible!'
@@ -190,7 +222,7 @@ class Kernel:
return result
def _multiply_jacobi_core(self, vector):
- # TODO: Docstring!
+ self.log.info('Calling _multiply_jacobi_core')
result = np.zeros(np.prod(self.dim))
- nc.multiply_jacobi_core(self.dim[0], self.dim[1], self.u, self.v, vector, result)
+ core.multiply_jacobi_core(self.dim[0], self.dim[1], self.u, self.v, vector, result)
return result
diff --git a/pyramid/logging.ini b/pyramid/logging.ini
index 0803943..266c375 100644
--- a/pyramid/logging.ini
+++ b/pyramid/logging.ini
@@ -9,7 +9,7 @@ class=logging.Formatter
[formatter_file]
format=%(asctime)s: %(levelname)-8s @ <%(name)s>: %(message)s
-datefmt=%Y-%m-%d H:%M:%S
+datefmt=%Y-%m-%d %H:%M:%S
class=logging.Formatter
[handlers]
@@ -25,7 +25,7 @@ args=tuple()
class=logging.FileHandler
level=INFO
formatter=file
-args=('../output/logfile.log', 'w')
+args=('logfile.log', 'w')
[loggers]
keys=root
diff --git a/pyramid/magdata.py b/pyramid/magdata.py
index 30cc4ac..0dc7044 100644
--- a/pyramid/magdata.py
+++ b/pyramid/magdata.py
@@ -1,12 +1,13 @@
# -*- coding: utf-8 -*-
-"""Class for the storage of magnetizatin data."""
+"""This module provides the :class:`~.MagData` class for storing of magnetization data."""
+import logging
import numpy as np
+from scipy.ndimage.interpolation import zoom
import matplotlib.pyplot as plt
from matplotlib.ticker import MaxNLocator
-
from mayavi import mlab
from numbers import Number
@@ -20,30 +21,28 @@ class MagData(object):
Represents 3-dimensional magnetic distributions with 3 components which are stored as a
2-dimensional numpy array in `magnitude`, but which can also be accessed as a vector via
- `mag_vec`. :class:`~.MagData` objects support arithmetic operators (``+``, ``-``, ``*``, ``/``)
- and their augmented counterparts (``+=``, ``-=``, ``*=``, ``/=``), with numbers and other
- :class:`~.MagData` objects, if their dimensions and grid spacings match. It is possible to load
- data from NetCDF4 or LLG (.txt) files or to save the data in these formats. Plotting methods
- are also provided.
+ `mag_vec`. :class:`~.MagData` objects support negation, arithmetic operators
+ (``+``, ``-``, ``*``) and their augmented counterparts (``+=``, ``-=``, ``*=``), with numbers
+ and other :class:`~.MagData` objects, if their dimensions and grid spacings match. It is
+ possible to load data from NetCDF4 or LLG (.txt) files or to save the data in these formats.
+ Plotting methods are also provided.
Attributes
----------
- a : float
+ a: float
The grid spacing in nm.
- dim : tuple (N=3)
+ dim: tuple (N=3)
Dimensions (z, y, x) of the grid.
- magnitude : :class:`~numpy.ndarray` (N=4)
+ magnitude: :class:`~numpy.ndarray` (N=4)
The `x`-, `y`- and `z`-component of the magnetization vector for every 3D-gridpoint
as a 4-dimensional numpy array (first dimension has to be 3, because of the 3 components).
mag_vec: :class:`~numpy.ndarray` (N=1)
Vector containing the magnetic distribution.
'''
-
- # TODO: Implement: __str__ or __repr__
-
- # TODO: Implement: logging
-
+
+ log = logging.getLogger()
+
@property
def a(self):
return self._a
@@ -81,57 +80,94 @@ class MagData(object):
self.magnitude = mag_vec.reshape((3,)+self.dim)
def __init__(self, a, magnitude):
+ self.log = logging.getLogger(__name__)
+ self.log.info('Calling __init__')
self.a = a
- self.magnitude = magnitude
+ self.magnitude = magnitude
+ self.log.info('Created '+str(self))
+
+ def __getstate__(self):
+ d = dict(self.__dict__)
+ del d['log']
+ return d
+
+ def __setstate__(self, d):
+ self.__dict__.update(d)
+ self.log = logging.getLogger(__name__)
+
+ def __repr__(self):
+ self.log.info('Calling __repr__')
+ return '%s(a=%r, magnitude=%r)' % (self.__class__, self.a, self.magnitude)
+
+ def __str__(self):
+ self.log.info('Calling __str__')
+ return 'MagData(a=%s, dim=%s)' % (self.a, self.dim)
def __neg__(self): # -self
+ self.log.info('Calling __neg__')
return MagData(self.a, -self.magnitude)
def __add__(self, other): # self + other
+ self.log.info('Calling __add__')
assert isinstance(other, (MagData, Number)), \
'Only MagData objects and scalar numbers (as offsets) can be added/subtracted!'
if isinstance(other, MagData):
+ self.log.info('Adding two MagData objects')
assert other.a == self.a, 'Added phase has to have the same grid spacing!'
assert other.magnitude.shape == (3,)+self.dim, \
'Added magnitude has to have the same dimensions!'
return MagData(self.a, self.magnitude+other.magnitude)
else: # other is a Number
+ self.log.info('Adding an offset')
return MagData(self.a, self.magnitude+other)
def __sub__(self, other): # self - other
+ self.log.info('Calling __sub__')
return self.__add__(-other)
def __mul__(self, other): # self * other
+ self.log.info('Calling __mul__')
assert isinstance(other, Number), 'MagData objects can only be multiplied by numbers!'
return MagData(self.a, other*self.magnitude)
- def __div__(self, other): # self / other
- assert other != 0, 'Division by zero!'
- return self.__mul__(1./other)
- # TODO: Does not work, but why?
-
def __radd__(self, other): # other + self
+ self.log.info('Calling __radd__')
return self.__add__(other)
def __rsub__(self, other): # other - self
+ self.log.info('Calling __rsub__')
return -self.__sub__(other)
def __rmul__(self, other): # other * self
+ self.log.info('Calling __rmul__')
return self.__mul__(other)
def __iadd__(self, other): # self += other
+ self.log.info('Calling __iadd__')
return self.__add__(other)
def __isub__(self, other): # self -= other
+ self.log.info('Calling __isub__')
return self.__sub__(other)
def __imul__(self, other): # self *= other
+ self.log.info('Calling __imul__')
return self.__mul__(other)
-
- def __idiv__(self, other): # self /= other
- return self.__div__(other)
def copy(self):
+ '''Returns a copy of the :class:`~.MagData` object
+
+ Parameters
+ ----------
+ None
+
+ Returns
+ -------
+ mag_data: :class:`~.MagData`
+ A copy of the :class:`~.MagData`.
+
+ '''
+ self.log.info('Calling copy7')
return MagData(self.a, self.magnitude.copy())
def scale_down(self, n=1):
@@ -152,12 +188,32 @@ class MagData(object):
Only possible, if each axis length is a power of 2!
'''
+ self.log.info('Calling scale_down')
assert n > 0 and isinstance(n, (int, long)), 'n must be a positive integer!'
assert np.all([d % 2**n == 0 for d in self.dim]), 'Dimensions must a multiples of 2!'
+ self.a = self.a * 2**n
for t in range(n):
# Create coarser grid for the magnetization:
self.magnitude = self.magnitude.reshape(
3, self.dim[0]/2, 2, self.dim[1]/2, 2, self.dim[2]/2, 2).mean(axis=(6, 4, 2))
+
+
+ def scale_up(self, n=1, order=0):
+ # TODO: Docstring!
+ self.log.info('Calling scale_up')
+ assert n > 0 and isinstance(n, (int, long)), 'n must be a positive integer!'
+ assert 5 > order >= 0 and isinstance(order, (int, long)), \
+ 'order must be a positive integer between 0 and 5!'
+ self.a = self.a / 2**n
+ self.magnitude = np.array((zoom(self.magnitude[0], zoom=2**n, order=order),
+ zoom(self.magnitude[1], zoom=2**n, order=order),
+ zoom(self.magnitude[2], zoom=2**n, order=order)))
+
+ def pad(self, x_pad, y_pad, z_pad):
+ # TODO: Docstring!
+ self.magnitude = np.pad(self.magnitude,
+ ((0, 0), (z_pad, z_pad), (y_pad, y_pad), (x_pad, x_pad)),
+ mode='constant', constant_values=0)
def save_to_llg(self, filename='..\output\magdata_output.txt'):
'''Save magnetization data in a file with LLG-format.
@@ -173,6 +229,7 @@ class MagData(object):
None
'''
+ self.log.info('Calling save_to_llg')
a = self.a * 1.0E-9 / 1.0E-2 # from nm to cm
# Create 3D meshgrid and reshape it and the magnetization into a list where x varies first:
zz, yy, xx = np.mgrid[a/2:(self.dim[0]*a-a/2):self.dim[0]*1j,
@@ -202,6 +259,7 @@ class MagData(object):
A :class:`~.MagData` object containing the loaded data.
'''
+ cls.log.info('Calling load_from_llg')
SCALE = 1.0E-9 / 1.0E-2 # From cm to nm
data = np.genfromtxt(filename, skip_header=2)
dim = tuple(np.genfromtxt(filename, dtype=int, skip_header=1, skip_footer=len(data[:, 0])))
@@ -223,6 +281,7 @@ class MagData(object):
None
'''
+ self.log.info('Calling save_to_netcdf4')
mag_file = netCDF4.Dataset(filename, 'w', format='NETCDF4')
mag_file.a = self.a
mag_file.createDimension('comp', 3) # Number of components
@@ -248,6 +307,7 @@ class MagData(object):
A :class:`~.MagData` object containing the loaded data.
'''
+ cls.log.info('Calling copy')
mag_file = netCDF4.Dataset(filename, 'r', format='NETCDF4')
a = mag_file.a
magnitude = mag_file.variables['magnitude'][...]
@@ -279,24 +339,31 @@ class MagData(object):
The axis on which the graph is plotted.
'''
+ self.log.info('Calling quiver_plot')
assert proj_axis == 'z' or proj_axis == 'y' or proj_axis == 'x', \
'Axis has to be x, y or z (as string).'
if proj_axis == 'z': # Slice of the xy-plane with z = ax_slice
+ self.log.info('proj_axis == z')
if ax_slice is None:
+ self.log.info('ax_slice is None')
ax_slice = int(self.dim[0]/2)
mag_slice_u = self.magnitude[0][ax_slice, ...] # x-component
mag_slice_v = self.magnitude[1][ax_slice, ...] # y-component
u_label = 'x [px]'
v_label = 'y [px]'
elif proj_axis == 'y': # Slice of the xz-plane with y = ax_slice
+ self.log.info('proj_axis == y')
if ax_slice is None:
+ self.log.info('ax_slice is None')
ax_slice = int(self.dim[1]/2)
mag_slice_u = self.magnitude[0][:, ax_slice, :] # x-component
mag_slice_v = self.magnitude[2][:, ax_slice, :] # z-component
u_label = 'x [px]'
v_label = 'z [px]'
elif proj_axis == 'x': # Slice of the yz-plane with x = ax_slice
+ self.log.info('proj_axis == x')
if ax_slice is None:
+ self.log.info('ax_slice is None')
ax_slice = int(self.dim[2]/2)
mag_slice_u = self.magnitude[1][..., ax_slice] # y-component
mag_slice_v = self.magnitude[2][..., ax_slice] # z-component
@@ -304,6 +371,7 @@ class MagData(object):
v_label = 'z [px]'
# If no axis is specified, a new figure is created:
if axis is None:
+ self.log.info('axis is None')
fig = plt.figure(figsize=(8.5, 7))
axis = fig.add_subplot(1, 1, 1, aspect='equal')
axis.quiver(mag_slice_u, mag_slice_v, pivot='middle', angles='xy', scale_units='xy',
@@ -331,6 +399,7 @@ class MagData(object):
None
'''
+ self.log.info('Calling quiver_plot3D')
a = self.a
dim = self.dim
# Create points and vector components as lists:
@@ -345,7 +414,7 @@ class MagData(object):
z_mag = np.reshape(self.magnitude[2], (-1))
# Plot them as vectors:
mlab.figure()
- plot = mlab.quiver3d(xx, yy, zz, x_mag, y_mag, z_mag, mode='arrow')#, scale_factor=5.0)
+ plot = mlab.quiver3d(xx, yy, zz, x_mag, y_mag, z_mag, mode='arrow')
mlab.outline(plot)
mlab.axes(plot)
mlab.colorbar()
diff --git a/pyramid/numcore/__init__.py b/pyramid/numcore/__init__.py
index df89b8e..fd8ed34 100644
--- a/pyramid/numcore/__init__.py
+++ b/pyramid/numcore/__init__.py
@@ -11,5 +11,3 @@ Notes
Packages are written in `pyx`-format for the use with :mod:`~cython`.
"""
-
-from phase_mag_real import *
diff --git a/pyramid/optimizer.py b/pyramid/optimizer.py
index b2d0aff..ca22601 100644
--- a/pyramid/optimizer.py
+++ b/pyramid/optimizer.py
@@ -56,85 +56,85 @@ def optimize_cg(self, data_collection, first_guess):
# TODO: Implement the following:
-# -*- coding: utf-8 -*-
-"""Reconstruct magnetic distributions from given phasemaps.
-
-This module reconstructs 3-dimensional magnetic distributions (as :class:`~pyramid.magdata.MagData`
-objects) from a given set of phase maps (represented by :class:`~pyramid.phasemap.PhaseMap`
-objects) by using several model based reconstruction algorithms which use the forward model
-provided by :mod:`~pyramid.projector` and :mod:`~pyramid.phasemapper` and a priori knowledge of
-the distribution.
-So far, only a simple least square algorithm for known pixel locations for 2-dimensional problems
-is implemented (:func:`~.reconstruct_simple_leastsq`), but more complex solutions are planned.
-
-"""
-
-
-
-import numpy as np
-
-from scipy.optimize import leastsq
-
-import pyramid.projector as pj
-import pyramid.phasemapper as pm
-from pyramid.magdata import MagData
-from pyramid.projector import Projection
-from pyramid.kernel import Kernel
-
-
-def reconstruct_simple_leastsq(phase_map, mask, b_0=1):
- '''Reconstruct a magnetic distribution for a 2-D problem with known pixel locations.
-
- Parameters
- ----------
- phase_map : :class:`~pyramid.phasemap.PhaseMap`
- A :class:`~pyramid.phasemap.PhaseMap` object, representing the phase from which to
- reconstruct the magnetic distribution.
- mask : :class:`~numpy.ndarray` (N=3)
- A boolean matrix (or a matrix consisting of ones and zeros), representing the
- positions of the magnetized voxels in 3 dimensions.
- b_0 : float, optional
- The magnetic induction corresponding to a magnetization `M`\ :sub:`0` in T.
- The default is 1.
- Returns
- -------
- mag_data : :class:`~pyramid.magdata.MagData`
- The reconstructed magnetic distribution as a
- :class:`~pyramid.magdata.MagData` object.
-
- Notes
- -----
- Only works for a single phase_map, if the positions of the magnetized voxels are known and
- for slice thickness of 1 (constraint for the `z`-dimension).
-
- '''
- # Read in parameters:
- y_m = phase_map.phase.reshape(-1) # Measured phase map as a vector
- a = phase_map.a # Grid spacing
- dim = mask.shape # Dimensions of the mag. distr.
- count = mask.sum() # Number of pixels with magnetization
- lam = 1e-6 # Regularisation parameter
- # Create empty MagData object for the reconstruction:
- mag_data_rec = MagData(a, (np.zeros(dim), np.zeros(dim), np.zeros(dim)))
-
- # Function that returns the phase map for a magnetic configuration x:
- def F(x):
- mag_data_rec.set_vector(mask, x)
- phase = pm.phase_mag_real(a, pj.simple_axis_projection(mag_data_rec), b_0)
- return phase.reshape(-1)
-
- # Cost function which should be minimized:
- def J(x_i):
- y_i = F(x_i)
- term1 = (y_i - y_m)
- term2 = lam * x_i
- return np.concatenate([term1, term2])
-
- # Reconstruct the magnetization components:
- x_rec, _ = leastsq(J, np.zeros(3*count))
- mag_data_rec.set_vector(mask, x_rec)
- return mag_data_rec
-
-def reconstruct_test():
- product = (kernel.multiply_jacobi_T(projection.multiply_jacobi_T(x))
- * kernel.multiply_jacobi(projection.multiply_jacobi(x)))
\ No newline at end of file
+## -*- coding: utf-8 -*-
+#"""Reconstruct magnetic distributions from given phasemaps.
+#
+#This module reconstructs 3-dimensional magnetic distributions (as :class:`~pyramid.magdata.MagData`
+#objects) from a given set of phase maps (represented by :class:`~pyramid.phasemap.PhaseMap`
+#objects) by using several model based reconstruction algorithms which use the forward model
+#provided by :mod:`~pyramid.projector` and :mod:`~pyramid.phasemapper` and a priori knowledge of
+#the distribution.
+#So far, only a simple least square algorithm for known pixel locations for 2-dimensional problems
+#is implemented (:func:`~.reconstruct_simple_leastsq`), but more complex solutions are planned.
+#
+#"""
+#
+#
+#
+#import numpy as np
+#
+#from scipy.optimize import leastsq
+#
+#import pyramid.projector as pj
+#import pyramid.phasemapper as pm
+#from pyramid.magdata import MagData
+#from pyramid.projector import Projection
+#from pyramid.kernel import Kernel
+#
+#
+#def reconstruct_simple_leastsq(phase_map, mask, b_0=1):
+# '''Reconstruct a magnetic distribution for a 2-D problem with known pixel locations.
+#
+# Parameters
+# ----------
+# phase_map : :class:`~pyramid.phasemap.PhaseMap`
+# A :class:`~pyramid.phasemap.PhaseMap` object, representing the phase from which to
+# reconstruct the magnetic distribution.
+# mask : :class:`~numpy.ndarray` (N=3)
+# A boolean matrix (or a matrix consisting of ones and zeros), representing the
+# positions of the magnetized voxels in 3 dimensions.
+# b_0 : float, optional
+# The magnetic induction corresponding to a magnetization `M`\ :sub:`0` in T.
+# The default is 1.
+# Returns
+# -------
+# mag_data : :class:`~pyramid.magdata.MagData`
+# The reconstructed magnetic distribution as a
+# :class:`~pyramid.magdata.MagData` object.
+#
+# Notes
+# -----
+# Only works for a single phase_map, if the positions of the magnetized voxels are known and
+# for slice thickness of 1 (constraint for the `z`-dimension).
+#
+# '''
+# # Read in parameters:
+# y_m = phase_map.phase.reshape(-1) # Measured phase map as a vector
+# a = phase_map.a # Grid spacing
+# dim = mask.shape # Dimensions of the mag. distr.
+# count = mask.sum() # Number of pixels with magnetization
+# lam = 1e-6 # Regularisation parameter
+# # Create empty MagData object for the reconstruction:
+# mag_data_rec = MagData(a, (np.zeros(dim), np.zeros(dim), np.zeros(dim)))
+#
+# # Function that returns the phase map for a magnetic configuration x:
+# def F(x):
+# mag_data_rec.set_vector(mask, x)
+# phase = pm.phase_mag_real(a, pj.simple_axis_projection(mag_data_rec), b_0)
+# return phase.reshape(-1)
+#
+# # Cost function which should be minimized:
+# def J(x_i):
+# y_i = F(x_i)
+# term1 = (y_i - y_m)
+# term2 = lam * x_i
+# return np.concatenate([term1, term2])
+#
+# # Reconstruct the magnetization components:
+# x_rec, _ = leastsq(J, np.zeros(3*count))
+# mag_data_rec.set_vector(mask, x_rec)
+# return mag_data_rec
+#
+#def reconstruct_test():
+# product = (kernel.multiply_jacobi_T(projection.multiply_jacobi_T(x))
+# * kernel.multiply_jacobi(projection.multiply_jacobi(x)))
\ No newline at end of file
diff --git a/pyramid/phasemap.py b/pyramid/phasemap.py
index 6964ded..293dd63 100644
--- a/pyramid/phasemap.py
+++ b/pyramid/phasemap.py
@@ -1,7 +1,9 @@
# -*- coding: utf-8 -*-
-"""Class for the storage of phase data."""
+"""This module provides the :class:`~.PhaseMap` class for storing phase map data."""
+import logging
+
import numpy as np
from numpy import pi
@@ -22,8 +24,8 @@ class PhaseMap(object):
Represents 2-dimensional phase maps. The phase information itself is stored as a 2-dimensional
matrix in `phase`, but can also be accessed as a vector via `phase_vec`. :class:`~.PhaseMap`
- objects support arithmetic operators (``+``, ``-``, ``*``, ``/``) and their augmented
- counterparts (``+=``, ``-=``, ``*=``, ``/=``), with numbers and other :class:`~.PhaseMap`
+ objects support negation, arithmetic operators (``+``, ``-``, ``*``) and their augmented
+ counterparts (``+=``, ``-=``, ``*=``), with numbers and other :class:`~.PhaseMap`
objects, if their dimensions and grid spacings match. It is possible to load data from NetCDF4
or textfiles or to save the data in these formats. Methods for plotting the phase or a
corresponding holographic contour map are provided. Holographic contour maps are created by
@@ -34,44 +36,65 @@ class PhaseMap(object):
Attributes
----------
- a : float
+ a: float
The grid spacing in nm.
- dim : tuple (N=2)
+ dim: tuple (N=2)
Dimensions of the grid.
- phase : :class:`~numpy.ndarray` (N=2)
+ phase: :class:`~numpy.ndarray` (N=2)
Matrix containing the phase shift.
phase_vec: :class:`~numpy.ndarray` (N=2)
Vector containing the phase shift.
- unit : {'rad', 'mrad', 'µrad'}, optional
- Set the unit of the phase map. This is important for the :func:`~.display` function,
+ unit: {'rad', 'mrad'}, optional
+ Set the unit of the phase map. This is important for the :func:`display` function,
because the phase is scaled accordingly. Does not change the phase itself, which is
always in `rad`.
'''
- UNITDICT = {'rad': 1E0,
- 'mrad': 1E3,
- 'µrad': 1E6}
-
- CDICT = {'red': [(0.00, 1.0, 0.0),
- (0.25, 1.0, 1.0),
- (0.50, 1.0, 1.0),
- (0.75, 0.0, 0.0),
- (1.00, 0.0, 1.0)],
-
- 'green': [(0.00, 0.0, 0.0),
- (0.25, 0.0, 0.0),
- (0.50, 1.0, 1.0),
- (0.75, 1.0, 1.0),
- (1.00, 0.0, 1.0)],
-
- 'blue': [(0.00, 1.0, 1.0),
- (0.25, 0.0, 0.0),
- (0.50, 0.0, 0.0),
- (0.75, 0.0, 0.0),
- (1.00, 1.0, 1.0)]}
+ log = logging.getLogger(__name__)
+
+ UNITDICT = {u'rad': 1E0,
+ u'mrad': 1E3,
+ u'µrad': 1E6}
+
+ CDICT = {'red': [(0.00, 1.0, 0.0),
+ (0.25, 1.0, 1.0),
+ (0.50, 1.0, 1.0),
+ (0.75, 0.0, 0.0),
+ (1.00, 0.0, 1.0)],
+
+ 'green': [(0.00, 0.0, 0.0),
+ (0.25, 0.0, 0.0),
+ (0.50, 1.0, 1.0),
+ (0.75, 1.0, 1.0),
+ (1.00, 0.0, 1.0)],
+
+ 'blue': [(0.00, 1.0, 1.0),
+ (0.25, 0.0, 0.0),
+ (0.50, 0.0, 0.0),
+ (0.75, 0.0, 0.0),
+ (1.00, 1.0, 1.0)]}
+
+ CDICT_INV = {'red': [(0.00, 0.0, 1.0),
+ (0.25, 0.0, 0.0),
+ (0.50, 0.0, 0.0),
+ (0.75, 1.0, 1.0),
+ (1.00, 1.0, 0.0)],
+
+ 'green': [(0.00, 1.0, 1.0),
+ (0.25, 1.0, 1.0),
+ (0.50, 0.0, 0.0),
+ (0.75, 0.0, 0.0),
+ (1.00, 1.0, 0.0)],
+
+ 'blue': [(0.00, 0.0, 0.0),
+ (0.25, 1.0, 1.0),
+ (0.50, 1.0, 1.0),
+ (0.75, 1.0, 1.0),
+ (1.00, 0.0, 0.0)]}
HOLO_CMAP = mpl.colors.LinearSegmentedColormap('my_colormap', CDICT, 256)
+ HOLO_CMAP_INV = mpl.colors.LinearSegmentedColormap('my_colormap', CDICT_INV, 256)
@property
def a(self):
@@ -121,52 +144,69 @@ class PhaseMap(object):
self.a = a
self.phase = phase
self.unit = unit
+ self.log = logging.getLogger(__name__)
+ self.log.info('Created '+str(self))
+
+ def __repr__(self):
+ self.log.info('Calling __repr__')
+ return '%s(a=%r, phase=%r, unit=&r)' % \
+ (self.__class__, self.a, self.phase, self.unit)
+
+ def __str__(self):
+ self.log.info('Calling __str__')
+ return 'PhaseMap(a=%s, dim=%s)' % (self.a, self.dim)
def __neg__(self): # -self
+ self.log.info('Calling __neg__')
return PhaseMap(self.a, -self.phase, self.unit)
def __add__(self, other): # self + other
+ self.log.info('Calling __add__')
assert isinstance(other, (PhaseMap, Number)), \
'Only PhaseMap objects and scalar numbers (as offsets) can be added/subtracted!'
if isinstance(other, PhaseMap):
+ self.log.info('Adding two PhaseMap objects')
assert other.a == self.a, 'Added phase has to have the same grid spacing!'
assert other.phase.shape == self.dim, \
'Added magnitude has to have the same dimensions!'
return PhaseMap(self.a, self.phase+other.phase, self.unit)
else: # other is a Number
+ self.log.info('Adding an offset')
return PhaseMap(self.a, self.phase+other, self.unit)
def __sub__(self, other): # self - other
+ self.log.info('Calling __sub__')
return self.__add__(-other)
def __mul__(self, other): # self * other
+ self.log.info('Calling __mul__')
assert isinstance(other, Number), 'PhaseMap objects can only be multiplied by numbers!'
return PhaseMap(self.a, other*self.phase, self.unit)
- def __div__(self, other): # self / other
- return self.__mul__(1.0/other)
-
def __radd__(self, other): # other + self
+ self.log.info('Calling __radd__')
return self.__add__(other)
def __rsub__(self, other): # other - self
+ self.log.info('Calling __rsub__')
return -self.__sub__(other)
def __rmul__(self, other): # other * self
+ self.log.info('Calling __rmul__')
return self.__mul__(other)
def __iadd__(self, other): # self += other
+ self.log.info('Calling __iadd__')
return self.__add__(other)
def __isub__(self, other): # self -= other
+ self.log.info('Calling __isub__')
return self.__sub__(other)
def __imul__(self, other): # self *= other
+ self.log.info('Calling __imul__')
return self.__mul__(other)
- def __idiv__(self, other): # self /= other
- return self.__div__(other)
-
def save_to_txt(self, filename='..\output\phasemap_output.txt'):
'''Save :class:`~.PhaseMap` data in a file with txt-format.
@@ -181,6 +221,7 @@ class PhaseMap(object):
None
'''
+ self.log.info('Calling save_to_txt')
with open(filename, 'w') as phase_file:
phase_file.write('{}\n'.format(filename.replace('.txt', '')))
phase_file.write('grid spacing = {} nm\n'.format(self.a))
@@ -201,6 +242,7 @@ class PhaseMap(object):
A :class:`~.PhaseMap` object containing the loaded data.
'''
+ cls.log.info('Calling load_from_txt')
with open(filename, 'r') as phase_file:
phase_file.readline() # Headerline is not used
a = float(phase_file.readline()[15:-4])
@@ -221,6 +263,7 @@ class PhaseMap(object):
None
'''
+ self.log.info('Calling save_to_netcdf4')
phase_file = netCDF4.Dataset(filename, 'w', format='NETCDF4')
phase_file.a = self.a
phase_file.createDimension('v_dim', self.dim[0])
@@ -244,13 +287,15 @@ class PhaseMap(object):
A :class:`~.PhaseMap` object containing the loaded data.
'''
+ cls.log.info('Calling load_from_netcdf4')
phase_file = netCDF4.Dataset(filename, 'r', format='NETCDF4')
a = phase_file.a
phase = phase_file.variables['phase'][:]
phase_file.close()
return PhaseMap(a, phase)
- def display_phase(self, title='Phase Map', cmap='RdBu', limit=None, norm=None, axis=None):
+ def display_phase(self, title='Phase Map', cmap='RdBu',
+ limit=None, norm=None, axis=None, show=True):
'''Display the phasemap as a colormesh.
Parameters
@@ -268,6 +313,8 @@ class PhaseMap(object):
If not specified, :class:`~matplotlib.colors.Normalize` is automatically used.
axis : :class:`~matplotlib.axes.AxesSubplot`, optional
Axis on which the graph is plotted. Creates a new figure if none is specified.
+ show : bool, optional
+ A switch which determines if the plot is shown at the end of plotting.
Returns
-------
@@ -275,6 +322,7 @@ class PhaseMap(object):
The axis on which the graph is plotted.
'''
+ self.log.info('Calling display_phase')
# Take units into consideration:
phase = self.phase * self.UNITDICT[self.unit]
if limit is None:
@@ -302,9 +350,10 @@ class PhaseMap(object):
cbar_ax = fig.add_axes([0.82, 0.15, 0.02, 0.7])
cbar = fig.colorbar(im, cax=cbar_ax)
cbar.ax.tick_params(labelsize=14)
- cbar.set_label('phase shift [{}]'.format(self.unit), fontsize=15)
+ cbar.set_label(u'phase shift [{}]'.format(self.unit), fontsize=15)
# Show plot:
- plt.show()
+ if show:
+ plt.show()
# Return plotting axis:
return axis
@@ -325,6 +374,7 @@ class PhaseMap(object):
The axis on which the graph is plotted.
'''
+ self.log.info('Calling display_phase3d')
# Take units into consideration:
phase = self.phase * self.UNITDICT[self.unit]
# Create figure and axis:
@@ -347,7 +397,7 @@ class PhaseMap(object):
return axis
def display_holo(self, density=1, title='Holographic Contour Map',
- axis=None, interpolation='none'):
+ axis=None, grad_encode='dark', interpolation='none', show=True):
'''Display the color coded holography image.
Parameters
@@ -360,13 +410,16 @@ class PhaseMap(object):
Axis on which the graph is plotted. Creates a new figure if none is specified.
interpolation : {'none, 'bilinear', 'cubic', 'nearest'}, optional
Defines the interpolation method. No interpolation is used in the default case.
+ show: bool, optional
+ A switch which determines if the plot is shown at the end of plotting.
Returns
-------
axis: :class:`~matplotlib.axes.AxesSubplot`
The axis on which the graph is plotted.
- '''
+ '''# TODO: Docstring saturation!
+ self.log.info('Calling display_holo')
# Calculate the holography image intensity:
img_holo = (1 + np.cos(density * self.phase)) / 2
# Calculate the phase gradients, expressed by magnitude and angle:
@@ -374,11 +427,24 @@ class PhaseMap(object):
phase_angle = (1 - np.arctan2(phase_grad_y, phase_grad_x)/pi) / 2
phase_magnitude = np.hypot(phase_grad_x, phase_grad_y)
if phase_magnitude.max() != 0:
- phase_magnitude = np.sin(phase_magnitude/phase_magnitude.max() * pi / 2)
+ saturation = np.sin(phase_magnitude/phase_magnitude.max() * pi / 2)
+ phase_saturation = np.dstack((saturation,)*4)
# Color code the angle and create the holography image:
- rgba = self.HOLO_CMAP(phase_angle)
- rgb = (255.999 * img_holo.T * phase_magnitude.T * rgba[:, :, :3].T).T.astype(np.uint8)
- holo_image = Image.fromarray(rgb)
+ if grad_encode == 'dark':
+ rgba = self.HOLO_CMAP(phase_angle)
+ rgb = (255.999 * img_holo.T * saturation.T * rgba[:, :, :3].T).T.astype(np.uint8)
+ elif grad_encode == 'bright':
+ rgba = self.HOLO_CMAP(phase_angle)+(1-phase_saturation)*self.HOLO_CMAP_INV(phase_angle)
+ rgb = (255.999 * img_holo.T * rgba[:, :, :3].T).T.astype(np.uint8)
+ elif grad_encode == 'color':
+ rgba = self.HOLO_CMAP(phase_angle)
+ rgb = (255.999 * img_holo.T * rgba[:, :, :3].T).T.astype(np.uint8)
+ elif grad_encode == 'none':
+ rgba = self.HOLO_CMAP(phase_angle)+self.HOLO_CMAP_INV(phase_angle)
+ rgb = (255.999 * img_holo.T * rgba[:, :, :3].T).T.astype(np.uint8)
+ else:
+ raise AssertionError('Gradient encoding not recognized!')
+ holo_image = Image.fromarray(rgb)
# If no axis is specified, a new figure is created:
if axis is None:
fig = plt.figure()
@@ -397,11 +463,13 @@ class PhaseMap(object):
axis.xaxis.set_major_locator(MaxNLocator(nbins=9, integer=True))
axis.yaxis.set_major_locator(MaxNLocator(nbins=9, integer=True))
# Show Plot:
- plt.show()
+ if show:
+ plt.show()
# Return plotting axis:
return axis
- def display_combined(self, density=1, title='Combined Plot', interpolation='none'):
+ def display_combined(self, density=1, title='Combined Plot', interpolation='none',
+ grad_encode='dark'):
'''Display the phase map and the resulting color coded holography image in one plot.
Parameters
@@ -419,21 +487,25 @@ class PhaseMap(object):
phase_axis, holo_axis: :class:`~matplotlib.axes.AxesSubplot`
The axes on which the graphs are plotted.
- '''
+ '''# TODO: Docstring grad_encode!
+ self.log.info('Calling display_combined')
# Create combined plot and set title:
fig = plt.figure(figsize=(16, 7))
fig.suptitle(title, fontsize=20)
# Plot holography image:
holo_axis = fig.add_subplot(1, 2, 1, aspect='equal')
- self.display_holo(density=density, axis=holo_axis, interpolation=interpolation)
+ self.display_holo(density=density, axis=holo_axis, interpolation=interpolation,
+ show=False, grad_encode=grad_encode)
# Plot phase map:
phase_axis = fig.add_subplot(1, 2, 2, aspect='equal')
fig.subplots_adjust(right=0.85)
- self.display_phase(axis=phase_axis)
+ self.display_phase(axis=phase_axis, show=False)
+ plt.show()
# Return the plotting axes:
return phase_axis, holo_axis
- def make_color_wheel(self):
+ @classmethod
+ def make_color_wheel(cls):
'''Display a color wheel to illustrate the color coding of the gradient direction.
Parameters
@@ -445,6 +517,7 @@ class PhaseMap(object):
None
'''
+ cls.log.info('Calling make_color_wheel')
x = np.linspace(-256, 256, num=512)
y = np.linspace(-256, 256, num=512)
xx, yy = np.meshgrid(x, y)
@@ -454,7 +527,7 @@ class PhaseMap(object):
color_wheel_magnitude *= 0 * (r > 256) + 1 * (r <= 256)
color_wheel_angle = (1 - np.arctan2(xx, -yy)/pi) / 2
# Color code the angle and create the holography image:
- rgba = self.HOLO_CMAP(color_wheel_angle)
+ rgba = cls.HOLO_CMAP(color_wheel_angle)
rgb = (255.999 * color_wheel_magnitude.T * rgba[:, :, :3].T).T.astype(np.uint8)
color_wheel = Image.fromarray(rgb)
# Plot the color wheel:
@@ -463,3 +536,7 @@ class PhaseMap(object):
axis.imshow(color_wheel, origin='lower')
axis.xaxis.set_major_locator(NullLocator())
axis.yaxis.set_major_locator(NullLocator())
+ plt.show()
+
+
+PhaseMap.make_color_wheel()
diff --git a/pyramid/phasemapper.py b/pyramid/phasemapper.py
index e6421d2..772e6fa 100644
--- a/pyramid/phasemapper.py
+++ b/pyramid/phasemapper.py
@@ -14,7 +14,7 @@ from numpy import pi
import abc
-import pyramid.numcore as nc
+import pyramid.numcore.kernel_core as nc
from pyramid.kernel import Kernel
from pyramid.projector import Projector
from pyramid.magdata import MagData
@@ -46,13 +46,13 @@ class PMAdapterFM(PhaseMapper):
assert isinstance(projector, Projector), 'Argument has to be a Projector object!'
self.a = a
self.projector = projector
- self.fwd_model = ForwardModel([projector], Kernel(a, projector.dim, b_0, geometry))
+ self.fwd_model = ForwardModel([projector], Kernel(a, projector.dim_2d, b_0, geometry))
def __call__(self, mag_data):
assert isinstance(mag_data, MagData), 'Only MagData objects can be mapped!'
assert mag_data.a == self.a, 'Grid spacing has to match!'
# TODO: test if mag_data fits in all aspects
- phase_map = PhaseMap(self.a, np.zeros(self.projector.dim))
+ phase_map = PhaseMap(self.a, np.zeros(self.projector.dim_2d))
phase_map.phase_vec = self.fwd_model(mag_data.mag_vec)
return phase_map
@@ -94,11 +94,12 @@ class PMFourier(PhaseMapper):
assert isinstance(mag_data, MagData), 'Only MagData objects can be mapped!'
assert mag_data.a == self.a, 'Grid spacing has to match!'
# TODO: test if mag_data fits in all aspects (especially with projector)
- v_dim, u_dim = self.projector.dim
- u_mag, v_mag = self.projector(mag_data.mag_vec).reshape((2,)+self.projector.dim)
+ v_dim, u_dim = self.projector.dim_2d
+ u_mag, v_mag = self.projector(mag_data.mag_vec).reshape((2,)+self.projector.dim_2d)
# Create zero padded matrices:
u_pad = u_dim/2 * self.padding
v_pad = v_dim/2 * self.padding
+ # TODO: use mag_data.padding or np.pad(...)
u_mag_big = np.zeros(((1 + self.padding) * v_dim, (1 + self.padding) * u_dim))
v_mag_big = np.zeros(((1 + self.padding) * v_dim, (1 + self.padding) * u_dim))
u_mag_big[v_pad:v_pad+v_dim, u_pad:u_pad+u_dim] = u_mag
@@ -218,12 +219,12 @@ class PMConvolve(PhaseMapper):
self.a = a
self.projector = projector
self.threshold = threshold
- self.kernel = Kernel(a, projector.dim, b_0, geometry)
+ self.kernel = Kernel(a, projector.dim_2d, b_0, geometry)
def __call__(self, mag_data):
# Docstring!
# Process input parameters:
- u_mag, v_mag = self.projector(mag_data.mag_vec).reshape((2,)+self.projector.dim)
+ u_mag, v_mag = self.projector(mag_data.mag_vec).reshape((2,)+self.projector.dim_2d)
# Fourier transform the projected magnetisation:
kernel = self.kernel
u_mag_fft = np.fft.rfftn(u_mag, kernel.dim_fft)
@@ -267,15 +268,14 @@ class PMReal(PhaseMapper):
self.a = a
self.projector = projector
self.threshold = threshold
- self.kernel = Kernel(a, projector.dim, b_0, geometry)
+ self.kernel = Kernel(a, projector.dim_2d, b_0, geometry)
self.numcore = numcore
def __call__(self, mag_data):
# TODO: Docstring
# Process input parameters:
- dim = self.projector.dim
+ dim = self.projector.dim_2d
threshold = self.threshold
- v_dim, u_dim = self.projector.dim
u_mag, v_mag = self.projector(mag_data.mag_vec).reshape((2,)+dim)
# Create kernel (lookup-tables for the phase of one pixel):
u_phi = self.kernel.u
diff --git a/pyramid/projector.py b/pyramid/projector.py
index 2853857..85e8641 100644
--- a/pyramid/projector.py
+++ b/pyramid/projector.py
@@ -1,13 +1,9 @@
# -*- coding: utf-8 -*-
-"""Create projections of a given magnetization distribution.
+"""This module provides the abstract base class :class:`~.Projector` and concrete subclasses for
+projections of vector and scalar fields."""
-This module creates 2-dimensional projections from 3-dimensional magnetic distributions, which
-are stored in :class:`~pyramid.magdata.MagData` objects. Either simple projections along the
-major axes are possible (:func:`~.simple_axis_projection`), or projections with a tilt around
-the y-axis. The thickness profile is also calculated and can be used for electric phase maps.
-
-"""
+import logging
import numpy as np
from numpy import pi
@@ -16,59 +12,68 @@ import abc
import itertools
-import scipy.sparse as sp
-from scipy.sparse import coo_matrix, csr_matrix, csr_matrix
-
-from pyramid.magdata import MagData
-
-
-
-
-
-
+from scipy.sparse import coo_matrix, csr_matrix
class Projector(object):
- '''
+ '''Abstract base class representing a projection function.
+
+ The :class:`~.Projector` class represents a projection function for a 3-dimensional
+ vector- or scalar field onto a 2-dimensional grid. :class:`~.Projector` is an abstract base
+ class and provides a unified interface which should be subclassed with a custom
+ :func:`__init__` function, which should call the parent :func:`__init__` method. Concrete
+ subclasses can be called as a function and take a `vector` as argument which contains the
+ 3-dimensional field. The output is the projected field, given as a `vector`. Depending on the
+ length of the input and the given dimensions `dim` at construction time, vector or scalar
+ projection is choosen intelligently.
Attributes
----------
-
+ dim_2d : tuple (N=2)
+ Dimensions (v, u) of the projected grid.
+ size_3d : int
+ Number of voxels of the 3-dimensional grid.
+ size_2d : int
+ Number of pixels of the 2-dimensional projected grid.
+ weight : :class:`~scipy.sparse.csr_matrix` (N=2)
+ The weight matrix containing the weighting coefficients describing the influence of all
+ 3-dimensional voxels on the 2-dimensional pixels of the projection.
+ coeff : list (N=2)
+ List containing the six weighting coefficients describing the influence of the 3 components
+ of a 3-dimensional vector field on the 2 projected components.
-
- ''' # TODO: Docstring!
+ '''
__metaclass__ = abc.ABCMeta
@abc.abstractmethod
def __init__(self, (dim_v, dim_u), weight, coeff):
- #TODO: Docstring!
- self.dim = (dim_v, dim_u) # TODO: are they even used?
+ self.log = logging.getLogger(__name__)
+ self.log.info('Calling __init__')
+ self.dim_2d = (dim_v, dim_u)
self.weight = weight
self.coeff = coeff
self.size_2d, self.size_3d = weight.shape
+ self.log.info('Created '+str(self))
def __call__(self, vector):
- # TODO: Docstring!
- assert any([len(vector) == i*self.size_3d for i in (1, 3)]), \
- 'Vector size has to be suited either for vector- or scalar-field-projection!'
+ self.log.info('Calling as function')
if len(vector) == 3*self.size_3d: # mode == 'vector'
+ self.log.info('mode == vector')
return self._vector_field_projection(vector)
elif len(vector) == self.size_3d: # mode == 'scalar'
+ self.log.info('mode == scalar')
return self._scalar_field_projection(vector)
- # TODO: Raise Assertion Error
+ else:
+ raise AssertionError('Vector size has to be suited either for ' \
+ 'vector- or scalar-field-projection!')
def _vector_field_projection(self, vector):
- # TODO: Docstring!
+ self.log.info('Calling _vector_field_projection')
size_2d, size_3d = self.size_2d, self.size_3d
result = np.zeros(2*size_2d)
-# for j in range(2):
-# for i in range(3):
-# if coefficient[j, i] != 0:
-# result[j*self.size_2d:(j+1)*self.size_2d] += self.coeff[j, i] * self.weight.dot(vector[j*length:(j+1)*length])
- # x_vec, y_vec, z_vec = vector[:length], vector[length:2*length], vector[2*length]
- # TODO: Which solution?
+ # Go over all possible component projections (z, y, x) to (u, v):
if self.coeff[0][0] != 0: # x to u
result[:size_2d] += self.coeff[0][0] * self.weight.dot(vector[:size_3d])
if self.coeff[0][1] != 0: # y to u
@@ -84,30 +89,87 @@ class Projector(object):
return result
def _scalar_field_projection(self, vector):
- # TODO: Docstring!
- # TODO: Implement smarter weight-multiplication!
+ self.log.info('Calling _scalar_field_projection')
return np.array(self.weight.dot(vector))
def jac_dot(self, vector):
- return self._vector_field_projection(vector)
+ '''Multiply a `vector` with the jacobi matrix of this :class:`~.Projector` object.
+
+ Parameters
+ ----------
+ vector : :class:`~numpy.ndarray` (N=1)
+ Vector containing the field which should be projected. Must have the same or 3 times
+ the size of `size_3d` of the projector for scalar and vector projection, respectively.
+
+ Returns
+ -------
+ proj_vector : :class:`~numpy.ndarray` (N=1)
+ Vector containing the projected field of the 2-dimensional grid. The length is
+ always`size_2d`.
+ '''
+ self.log.info('Calling jac_dot')
+ return self(vector)
class YTiltProjector(Projector):
+# '''Class representing a projection where the projection axis is tilted around the y-axis.
+#
+# The :class:`~.YTiltProjector` class is a concrete subclass of the :class:`~.Projector` class
+# and overwrites the :func:`__init__` constructor which accepts `dim` and `tilt` as arguments.
+# The dimensions of the 3-dimensional grid are given by `dim`, the tilting angle of the ample
+# around the y-axis is given by `tilt`.
+#
+# Attributes
+# ----------
+# dim_2d : tuple (N=2)
+# Dimensions (v, u) of the projected grid.
+# size_3d : int
+# Number of voxels of the 3-dimensional grid.
+# size_2d : int
+# Number of pixels of the 2-dimensional projected grid.
+# weight : :class:`~scipy.sparse.csr_matrix` (N=2)
+# The weight matrix containing the weighting coefficients describing the influence of all
+# 3-dimensional voxels on the 2-dimensional pixels of the projection.
+# coeff : list (N=2)
+# List containing the six weighting coefficients describing the influence of the 3 components
+# of a 3-dimensional vector field on the 2 projected components.
+# '''
+#
+# '''
+# weight : :class:`~scipy.sparse.csr_matrix` (N=2)
+# The weight matrix containing the weighting coefficients which determine the influence of
+# all 3-dimensional voxels to the 2-dimensional pixels of the projection.
+# coeff : `list`t (N=2)
+# List containing the six weighting coefficients describing the influence of the 3 components
+# of a 3-dimensional vector fields on the 2 components of the projected field. Only used for
+# vector field projection.
+#
+# Notes
+# -----
+# An instance `projector` of the :class:`~.YSimpleProjector` class is callable via:
+#
+# :func:`projector(vector)`
+#
+# with `vector` being a :class:`~numpy.ndarray` (N=1).
+# '''
+
def __init__(self, dim, tilt):
- # TODO: Docstring!
- # TODO: Implement!
+
def get_position(p, m, b, size):
+ self.log.info('Calling get_position')
y, x = np.array(p)[:, 0]+0.5, np.array(p)[:, 1]+0.5
return (y-m*x-b)/np.sqrt(m**2+1) + size/2.
def get_impact(pos, r, size):
+ self.log.info('Calling get_impact')
return [x for x in np.arange(np.floor(pos-r), np.floor(pos+r)+1, dtype=int)
if 0 <= x < size]
def get_weight(delta, rho): # use circles to represent the voxels
+ self.log.info('Calling get_weight')
lo, up = delta-rho, delta+rho
# Upper boundary:
if up >= 1:
@@ -121,21 +183,21 @@ class YTiltProjector(Projector):
w_lo = (lo*np.sqrt(1-lo**2) + np.arctan(lo/np.sqrt(1-lo**2))) / pi
return w_up - w_lo
+ self.log = logging.getLogger(__name__)
+ self.log.info('Calling __init__')
+ self.tilt = tilt
# Set starting variables:
# length along projection (proj, z), rotation (rot, y) and perpendicular (perp, x) axis:
dim_proj, dim_rot, dim_perp = dim
size_2d = dim_rot * dim_perp
size_3d = dim_proj * dim_rot * dim_perp
-
# Creating coordinate list of all voxels:
voxels = list(itertools.product(range(dim_proj), range(dim_perp)))
-
# Calculate positions along the projected pixel coordinate system:
center = (dim_proj/2., dim_perp/2.)
m = np.where(tilt<=pi, -1/np.tan(tilt+1E-30), 1/np.tan(tilt+1E-30))
b = center[0] - m * center[1]
positions = get_position(voxels, m, b, dim_perp)
-
# Calculate weight-matrix:
r = 1/np.sqrt(np.pi) # radius of the voxel circle
rho = 0.5 / r
@@ -151,57 +213,80 @@ class YTiltProjector(Projector):
col.append(voxel[0]*size_2d + voxel[1])
row.append(impact)
data.append(get_weight(delta, rho))
- # all other slices:
+ # All other slices:
columns = col
rows = row
for i in np.arange(1, dim_rot): # TODO: more efficient, please!
columns = np.hstack((np.array(columns), np.array(col)+i*dim_perp))
rows = np.hstack((np.array(rows), np.array(row)+i*dim_perp))
-
+ # Calculate weight matrix and coefficients for jacobi matrix:
weight = csr_matrix(coo_matrix((np.tile(data, dim_rot), (rows, columns)),
- shape = (size_2d, size_3d)))
+ shape = (size_2d, size_3d)))
dim_v, dim_u = dim_rot, dim_perp
coeff = [[np.cos(tilt), 0, np.sin(tilt)], [0, 1, 0]]
super(YTiltProjector, self).__init__((dim_v, dim_u), weight, coeff)
+ self.log.info('Created '+str(self))
class SimpleProjector(Projector):
- # TODO: Docstring!
+# '''Class representing a projection along one of the major axes (x, y, z).
+#
+# The :class:`~.SimpleProjector` class is a concrete subclass of the :class:`~.Projector` class
+# and overwrites the :func:`__init__` constructor which accepts `dim` and `axis` as arguments.
+# The dimensions of the 3-dimensional grid are given by `dim`, the major axis along which to
+# project is given by `axis` and can be `'x'`, `'y'` or `'z'` (default).
+#
+# Attributes
+# ----------
+# dim_2d : tuple (N=2)
+# Dimensions (v, u) of the projected grid.
+# weight : :class:`~scipy.sparse.csr_matrix` (N=2)
+# The weight matrix containing the weighting coefficients which determine the influence of
+# all 3-dimensional voxels to the 2-dimensional pixels of the projection.
+# coeff : list (N=2)
+# List containing the six weighting coefficients describing the influence of the 3 components
+# of a 3-dimensional vector fields on the 2 components of the projected field. Only used for
+# vector field projection.
+# size_3d : int
+# Number of voxels of the 3-dimensional grid.
+# size_2d : int
+# Number of pixels of the 2-dimensional projected grid.
+#
+# Notes
+# -----
+# An instance `projector` of the :class:`~.SimpleProjector` class is callable via:
+#
+# :func:`projector(vector)`
+#
+# with `vector` being a :class:`~numpy.ndarray` (N=1).
+#
+# '''
+
+ AXIS_DICT = {'z': (0, 1, 2), 'y': (1, 0, 2), 'x': (1, 2, 0)}
def __init__(self, dim, axis='z'):
- # TODO: Docstring!
+ self.log = logging.getLogger(__name__)
+ self.log.info('Calling __init__')
+ proj, v, u = self.AXIS_DICT[axis]
+ dim_proj, dim_v, dim_u = dim[proj], dim[v], dim[u]
+ dim_z, dim_y, dim_x = dim
+ size_2d = dim_u * dim_v
+ size_3d = np.prod(dim)
+ data = np.repeat(1, size_3d)
+ indptr = np.arange(0, size_3d+1, dim_proj)
if axis == 'z':
- dim_z, dim_y, dim_x = dim # TODO: in functions
- dim_proj, dim_v, dim_u = dim
- size_2d = dim_u * dim_v
- size_3d = dim_x * dim_y * dim_z
- data = np.repeat(1, size_3d)
- indptr = np.arange(0, size_3d+1, dim_proj)
+ coeff = [[1, 0, 0], [0, 1, 0]]
indices = np.array([np.arange(row, size_3d, size_2d)
for row in range(size_2d)]).reshape(-1)
- weight = csr_matrix((data, indices, indptr), shape = (size_2d, size_3d))
- coeff = [[1, 0, 0], [0, 1, 0]]
elif axis == 'y':
- dim_z, dim_y, dim_x = dim
- dim_v, dim_proj, dim_u = dim
- size_2d = dim_u * dim_v
- size_3d = dim_x * dim_y * dim_z
- data = np.repeat(1, size_3d)
- indptr = np.arange(0, size_3d+1, dim_proj)
+ coeff = [[1, 0, 0], [0, 0, 1]]
indices = np.array([np.arange(row%dim_x, dim_x*dim_y, dim_x)+int(row/dim_x)*dim_x*dim_y
for row in range(size_2d)]).reshape(-1)
- weight = csr_matrix((data, indices, indptr), shape = (size_2d, size_3d))
- coeff = [[1, 0, 0], [0, 0, 1]]
elif axis == 'x':
- dim_z, dim_y, dim_x = dim
- dim_v, dim_u, dim_proj = dim
- size_2d = dim_u * dim_v
- size_3d = dim_x * dim_y * dim_z
- data = np.repeat(1, size_3d)
- indptr = np.arange(0, size_3d+1, dim_proj)
+ coeff = [[0, 1, 0], [0, 0, 1]]
indices = np.array([np.arange(dim_proj) + row*dim_proj
for row in range(size_2d)]).reshape(-1)
- weight = csr_matrix((data, indices, indptr), shape = (size_2d, size_3d))
- coeff = [[0, 1, 0], [0, 0, 1]]
+ weight = csr_matrix((data, indices, indptr), shape = (size_2d, size_3d))
super(SimpleProjector, self).__init__((dim_v, dim_u), weight, coeff)
+ self.log.info('Created '+str(self))
diff --git a/regrid/array.cpp b/regrid/array.cpp
new file mode 100644
index 0000000..23d46f3
--- /dev/null
+++ b/regrid/array.cpp
@@ -0,0 +1,46 @@
+#define NO_IMPORT_ARRAY
+
+#include "gloripex.hpp"
+#include "array.hpp"
+
+namespace gloripex {
+ using namespace boost::python;
+ /// Converts a numpy array to an Array instance if possible. Uses
+ /// constructor of Array class, but needs to manually generate a boost
+ /// object from raw pointer..
+ template <class T>
+ struct ArrayConverter {
+ ArrayConverter() {
+ converter::registry::push_back(&convertible, &construct, type_id<T>());
+ }
+
+ static void* convertible(PyObject* obj_ptr) {
+ return is_object_convertible_to_array<T>(obj_ptr) ? obj_ptr : 0;
+ }
+
+ /// See here for an explanation
+ /// http://mail.python.org/pipermail/cplusplus-sig/2008-October/013895.html
+ static void construct(PyObject* obj_ptr,
+ converter::rvalue_from_python_stage1_data* data)
+ {
+ object obj(handle<>(borrowed(obj_ptr)));
+ data->convertible = (reinterpret_cast<converter::rvalue_from_python_storage<T>*> (data))->storage.bytes;
+ new (data->convertible) T(obj);
+ }
+ };
+
+ // Add converters as necessary
+ ArrayConverter<Array<cub_t, 1> > array_cub_t_1_converter;
+ ArrayConverter<Array<cub_t, 2> > array_cub_t_2_converter;
+ ArrayConverter<Array<cub_t, 3> > array_cub_t_3_converter;
+
+ ArrayConverter<Array<float, 1> > array_float_1_converter;
+ ArrayConverter<Array<float, 2> > array_float_2_converter;
+ ArrayConverter<Array<float, 3> > array_float_3_converter;
+
+ ArrayConverter<Array<double, 1> > array_double_1_converter;
+ ArrayConverter<Array<double, 2> > array_double_2_converter;
+ ArrayConverter<Array<double, 3> > array_double_3_converter;
+
+ ArrayConverter<Array<size_t, 1> > array_sizet_1_converter;
+}
diff --git a/regrid/array.hpp b/regrid/array.hpp
new file mode 100644
index 0000000..6b0b268
--- /dev/null
+++ b/regrid/array.hpp
@@ -0,0 +1,162 @@
+//
+// Copyright 2013 by Forschungszentrum Juelich GmbH
+//
+
+#ifndef GLORIPEX_ARRAY_HPP
+#define GLORIPEX_ARRAY_HPP
+
+#include "numpy.hpp"
+
+namespace gloripex {
+
+#pragma GCC diagnostic ignored "-Wold-style-cast"
+ /// Determines whether a python object is a numpy array fitting to the Array
+ /// type supplied by T.
+ ///
+ /// Example:
+ /// if (is_object_convertible_to_array<Array<double, 3> >(obj_ptr)) { ... }
+ template<typename T>
+ bool is_object_convertible_to_array(PyObject* obj_ptr) {
+ return (PyArray_Check(obj_ptr) &&
+ PyArray_TYPE(obj_ptr) == numpy::getTypeID(typename T::value_type()) &&
+ PyArray_NDIM(obj_ptr) == T::ndim());
+ }
+#pragma GCC diagnostic warning "-Wold-style-cast"
+
+ /// \brief A fast array class suited to our needs. Based on the Blitz++
+ /// concept without the fancy stuff.
+ template<typename T, int ndimm>
+ struct Array {
+ // some typedefs for making this STL compatible
+ typedef Array<T, ndimm> type;
+ typedef T value_type;
+ typedef T* iterator;
+ typedef const T* const_iterator;
+ typedef T& reference;
+ typedef const T& const_reference;
+ typedef size_t size_type;
+
+ /// Function that provides a neat wrapper around numpy arrays. No copying is
+ /// performed. User needs to supply dimensionality and type, but it is
+ /// checked during runtime, if it fits!
+ ///
+ /// object is const, but this class does not really care about this...
+ /// Instantiate a const Array if object should really be const.
+ Array(const python::object& object) :
+ object_(object),
+ data_(static_cast<T*>(numpy::getArrayData(this->object_)))
+ {
+ this->initialise();
+ }
+
+ /// This function creates a numpy array. It may be accessed later on
+ /// with the object member function, e.g. for returning it to python.
+ Array(const std::vector<npy_intp>& dims) :
+ object_(numpy::createFromScratch<T>(dims)),
+ data_(static_cast<T*>(numpy::getArrayData(this->object_)))
+ {
+ this->initialise();
+ }
+
+ Array(const Array<T, ndimm>& other) :
+ object_(other.object_),
+ data_(static_cast<T*>(numpy::getArrayData(this->object_)))
+ {
+ this->initialise();
+ }
+
+ /// 1D access
+ inline const T& operator() (size_type idx0) const {
+ static_assert(ndimm == 1, "dimensionality does not fit function call");
+ return this->data()[idx0 * this->stride(0)];
+ }
+ /// 1D access
+ inline T& operator() (size_type idx0) {
+ static_assert(ndimm == 1, "dimensionality does not fit function call");
+ return this->data()[idx0 * this->stride(0)];
+ }
+ /// 2D access
+ inline const T& operator() (size_type idx0, size_type idx1) const {
+ static_assert(ndimm == 2, "dimensionality does not fit function call");
+ return this->data()[idx0 * this->stride(0) + idx1 * this->stride(1)];
+ }
+ /// 2D access
+ inline T& operator() (size_type idx0, size_type idx1) {
+ static_assert(ndimm == 2, "dimensionality does not fit function call");
+ return this->data()[idx0 * this->stride(0) + idx1 * this->stride(1)];
+ }
+ /// 3D access
+ inline const T& operator() (size_type idx0, size_type idx1, size_type idx2) const {
+ static_assert(ndimm == 3, "dimensionality does not fit function call");
+ return this->data()[idx0 * this->stride(0) + idx1 * this->stride(1) +
+ idx2 * this->stride(2)];
+ }
+ /// 3D access
+ inline T& operator() (size_type idx0, size_type idx1, size_type idx2) {
+ static_assert(ndimm == 3, "dimensionality does not fit function call");
+ return this->data()[idx0 * this->stride(0) + idx1 * this->stride(1) +
+ idx2 * this->stride(2)];
+ }
+
+ inline iterator begin() { return this->data(); }
+ inline const_iterator begin() const { return this->data(); }
+ inline iterator end() { return this->data() + this->size(); }
+ inline const_iterator end() const { return this->data() + this->size(); }
+
+ /// returns the number of dimensions.
+ static inline int ndim() { return ndimm; }
+
+ /// returns the total size of the array
+ size_type size() const {
+ size_type result = shape(0);
+ for (int i = 1; i < this->ndim(); ++ i) {
+ result *= this->shape(i);
+ }
+ return result;
+ }
+ /// This function explores the shape of the array.
+ inline size_type shape(size_type dim) const {
+ assert(0 <= dim && dim < ndimm);
+ return static_cast<size_type>(numpy::getArrayDims(this->object_)[dim]);
+ }
+ /// This function explores the strides of the array.
+ inline size_type stride(size_type dim) const { return this->stride_[dim]; }
+ /// Returns pointer to underlying data.
+ inline T* data() const { return this->data_; }
+
+ /// Returns the wrapped object.
+ inline python::object object() const { return this->object_; }
+
+ template<typename T2, int ndim2>
+ friend std::ostream& operator<<(std::ostream& os, const Array<T2, ndim2>& a);
+
+ private:
+
+ void initialise() {
+ assert(is_object_convertible_to_array<type>(this->object_.ptr()));
+
+ for (int i = 0; i < ndimm; ++ i) {
+ this->stride_[i] = numpy::getArrayStrides(this->object_)[i] / sizeof(T);
+ }
+ }
+
+ protected:
+ /// Reference to python array object
+ python::object object_;
+ /// Holds the a pointer to the memory of the array (regardless of who manages it).
+ T* data_;
+ /// \brief Stores the stride of the array (e.g., 20(=4*5) and 5 for a
+ /// 3x4x5 array).
+ size_type stride_[ndimm];
+ };
+
+ // ****************************************************************************
+
+ template<typename T2, int ndim2>
+ std::ostream& operator<<(std::ostream& os, const Array<T2, ndim2>& a) {
+ os << python::extract<std::string>(a.object_.attr("__str__")())();
+ return os;
+ }
+}
+
+#endif
diff --git a/regrid/gloripex.hpp b/regrid/gloripex.hpp
new file mode 100644
index 0000000..511b96f
--- /dev/null
+++ b/regrid/gloripex.hpp
@@ -0,0 +1,95 @@
+//
+// Copyright 2013 by Forschungszentrum Juelich GmbH
+//
+#ifndef GLORIPEX_HPP
+#define GLORIPEX_HPP
+
+// this removes strange linkage issues with extensions covering multiple files
+#define PY_ARRAY_UNIQUE_SYMBOL GLORIPEX_PY_ARRAY
+
+#include <iostream>
+#include <iomanip>
+#include <sstream>
+#include <vector>
+#include <complex>
+#include <boost/python/detail/wrap_python.hpp>
+#include <boost/python.hpp>
+#include <numpy/arrayobject.h>
+
+#ifdef _OPENMP
+#include <omp.h>
+#endif
+
+
+namespace std {
+ /// Conveniencev vvc ostream operator for std::vector.
+ template<typename T>
+ inline std::ostream& operator<<(std::ostream& os, const std::vector<T>& vec) {
+ os << "[";
+ for (typename std::vector<T>::size_type i = 0; i < vec.size(); ++ i) {
+ os << (i == 0 ? "" : ", ") << vec[i];
+ }
+ os << "]";
+ return os;
+ }
+
+ /// Convenience ostream operator for std::vector<std::string>.
+ template<>
+ inline std::ostream& operator<<(std::ostream& os, const std::vector<std::string>& vec) {
+ os << "[";
+ for (std::vector<std::string>::size_type i = 0; i < vec.size(); ++ i) {
+ os << (i == 0 ? "'" : ", '") << vec[i] << "'";
+ }
+ os << "]";
+ return os;
+ }
+}
+
+
+namespace gloripex {
+ namespace python = boost::python;
+
+ typedef std::complex<float> complex64;
+ typedef std::complex<double> complex128;
+ typedef uint16_t cub_t;
+
+ /// Simple struct for error handling.
+ ///
+ /// This should be the base struct of all gloripy Exceptions. It is
+ /// translated to a python runtime error.
+ struct Exception : std::exception {
+ std::string msg_;
+ Exception(std::string msg) : msg_(msg) {}
+ virtual ~Exception() throw() {}
+ virtual char const* what() const throw() { return msg_.c_str(); }
+ };
+
+ /// An assert that throws an exception instead of aborting the program.
+#ifndef NDEBUG
+#define gassert(cond, msg) \
+ if (!(cond)) { \
+ std::ostringstream message; \
+ message << __FILE__ << ":" \
+ << std::setw(4) << __LINE__ << ": " \
+ << msg << std::endl; \
+ throw Exception(message.str()); \
+ }
+#else
+#define gassert(cond, msg) (void) (0)
+#endif
+
+ /// This functions takes a datum and returns a string representation.
+ template<typename T>
+ inline std::string toString(const T& object) {
+ std::stringstream result;
+ result << object;
+ return result.str();
+ }
+
+ /// Allows printing of all boost::python wrapped python objects.
+ inline std::ostream& operator<<(std::ostream& os, const python::object& object) {
+ os << python::extract<std::string>(object.attr("__str__")())();
+ return os;
+ }
+}
+#endif
diff --git a/regrid/numpy.hpp b/regrid/numpy.hpp
new file mode 100644
index 0000000..568b630
--- /dev/null
+++ b/regrid/numpy.hpp
@@ -0,0 +1,93 @@
+//
+// Copyright 2013 by Forschungszentrum Juelich GmbH
+//
+
+#ifndef GLORIPEX_NUMPY
+#define GLORIPEX_NUMPY
+
+
+namespace gloripex {
+ namespace numpy {
+ typedef python::numeric::array ndarray;
+
+ inline int getTypeID(float) { return NPY_FLOAT; }
+ inline int getTypeID(double) { return NPY_DOUBLE; }
+ inline int getTypeID(long double) { return NPY_LONGDOUBLE; }
+ inline int getTypeID(signed char) { return NPY_BYTE; }
+ inline int getTypeID(unsigned char) { return NPY_UBYTE; }
+ inline int getTypeID(int) { return NPY_INT; }
+ inline int getTypeID(unsigned int) { return NPY_UINT; }
+ inline int getTypeID(short) { return NPY_SHORT; }
+ inline int getTypeID(unsigned short) { return NPY_USHORT; }
+ inline int getTypeID(unsigned long) { return NPY_ULONG; }
+ inline int getTypeID(long) { return NPY_LONG; }
+
+
+ inline int getArrayType(const python::object &x) {
+ return reinterpret_cast<PyArrayObject*>(x.ptr())->descr->type_num;
+ }
+
+ inline npy_intp* getArrayDims(const python::object &x) {
+ return reinterpret_cast<PyArrayObject*>(x.ptr())->dimensions;
+ }
+
+ inline npy_intp* getArrayStrides(const python::object &x) {
+ return reinterpret_cast<PyArrayObject*>(x.ptr())->strides;
+ }
+
+ inline int getArrayNDims(const python::object &x) {
+ return reinterpret_cast<PyArrayObject*>(x.ptr())->nd;
+ }
+
+ inline void* getArrayData(const python::object &x) {
+ return reinterpret_cast<PyArrayObject*>(x.ptr())->data;
+ }
+
+ inline PyArray_Descr* getArrayDescription(const python::object &x) {
+ return reinterpret_cast<PyArrayObject*>(x.ptr())->descr;
+ }
+
+ inline int getArrayItemsize(const python::object &x) {
+ return reinterpret_cast<PyArrayObject*>(x.ptr())->descr->elsize;
+ }
+
+ template<typename T>
+ inline T* getArrayDataAs(const python::object &x) {
+ return reinterpret_cast<T*>(getArrayData(x));
+ }
+
+#pragma GCC diagnostic ignored "-Wold-style-cast"
+ inline bool isArray(const python::object &x) {
+ return PyArray_Check(x.ptr());
+ }
+
+ /// Creates an empty python array.
+ template<typename T>
+ inline ndarray createFromScratch(const std::vector<npy_intp>& dims) {
+ PyObject* ptr = PyArray_SimpleNew(
+ static_cast<int>(dims.size()),
+ const_cast<npy_intp*>(&dims[0]),
+ getTypeID(T()));
+ python::handle<> hndl(ptr);
+ return ndarray(hndl);
+ }
+
+ /// Creates a python array from existing memory. As the lifetime of the
+ /// python object cannot be controlled, it is rather dangerous to delete
+ /// the memory. Use with utmost care.
+ template<typename T>
+ inline ndarray createFromData(
+ const std::vector<npy_intp>& dims, T* data) {
+ PyObject* ptr = PyArray_SimpleNewFromData(
+ static_cast<int>(dims.size()),
+ const_cast<npy_intp*>(&dims[0]),
+ getTypeID(T()),
+ data);
+ python::handle<> hndl(ptr);
+ return ndarray(hndl);
+ }
+#pragma GCC diagnostic warning "-Wold-style-cast"
+ }
+}
+
+#endif
diff --git a/regrid/regrid.cc b/regrid/regrid.cc
new file mode 100644
index 0000000..45f0449
--- /dev/null
+++ b/regrid/regrid.cc
@@ -0,0 +1,94 @@
+
+// this removes strange linkage issues with extensions covering multiple files
+#define PY_ARRAY_UNIQUE_SYMBOL GLORIPEX_PY_ARRAY
+#include <iostream>
+#include <iomanip>
+#include <sstream>
+#include <vector>
+#include <complex>
+#include <boost/python/detail/wrap_python.hpp>
+#include <boost/python.hpp>
+#include <numpy/arrayobject.h>
+
+namespace python = boost::python;
+
+#include "numpy.hpp"
+#include "array.hpp"
+
+#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
+
+#include <CGAL/Delaunay_triangulation_2.h>
+#include <CGAL/Delaunay_triangulation_3.h>
+
+#include <CGAL/Triangulation_vertex_base_with_info_3.h>
+#include <CGAL/Triangulation_vertex_base_with_info_2.h>
+
+#include <CGAL/natural_neighbor_coordinates_2.h>
+#include <CGAL/natural_neighbor_coordinates_3.h>
+
+struct Interpolate {
+
+ typedef CGAL::Exact_predicates_inexact_constructions_kernel Kernel;
+ typedef Kernel::FT CoordType;
+ typedef Kernel::Point_3 Point;
+ typedef CGAL::Triangulation_vertex_base_with_info_3<unsigned, Kernel> Vb;
+ typedef CGAL::Triangulation_data_structure_3<Vb> Tds;
+ typedef CGAL::Delaunay_triangulation_3<Kernel, Tds> DelaunayTriangulation;
+ typedef DelaunayTriangulation::Vertex_handle VertexHandle;
+
+ DelaunayTriangulation T_;
+ const gloripex::Array<double, 2> data_;
+
+ Interpolate(const gloripex::Array<double, 2>& data) :
+ data_(data)
+ {
+ const auto size = data_.shape(0);
+ for (size_t i = 0; i < size; ++ i) {
+ this->T_.insert(Point(data_(i, 0), data_(i, 1), data_(i, 2)))->info() = i;
+ }
+ }
+
+ // *****************************************************************************
+
+ void interpolate(const gloripex::Array<double, 2>& coord2) const
+ {
+ gloripex::Array<double, 2>& coord = const_cast<gloripex::Array<double, 2>&>(coord2);
+ // coordinate computation
+ const auto size = coord.shape(0);
+
+ for (size_t i = 0; i < size; ++ i) {
+ Point p(coord(i, 0), coord(i, 1), coord(i, 2));
+ std::vector<std::pair<VertexHandle, CoordType> > vertices;
+ CoordType norm;
+
+ CGAL::laplace_natural_neighbor_coordinates_3(this->T_, p, std::back_inserter(vertices), norm);
+
+ if (! vertices.empty()) {
+ for (int j = 3; j < data_.shape(1); ++ j) {
+ coord(i, j) = 0;
+ }
+ for (const auto& vertex : vertices) {
+ double weight = vertex.second / norm;
+ for (int j = 3; j < data_.shape(1); ++ j) {
+ coord(i, j) += weight * data_((vertex.first)->info(), j);
+ }
+
+ }
+ } else {
+ for (int j = 3; j < data_.shape(1); ++ j) {
+ coord(i, j) = std::numeric_limits<double>::quiet_NaN();
+ }
+ }
+ }
+ }
+};
+
+BOOST_PYTHON_MODULE(regrid)
+{
+ python::numeric::array::set_module_and_type("numpy", "ndarray");
+ import_array();
+
+ python::class_<Interpolate>("regrid", python::init<const gloripex::Array<double, 2>&>())
+ .def("__call__", &Interpolate::interpolate);
+}
+
diff --git a/regrid/regrid.o b/regrid/regrid.o
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diff --git a/regrid/test.py b/regrid/test.py
new file mode 100644
index 0000000..108f0ae
--- /dev/null
+++ b/regrid/test.py
@@ -0,0 +1,39 @@
+from regrid import regrid
+from pylab import *
+
+
+# semi irregular grid:
+data = zeros((10**3,6))
+o = mgrid[0:10, 0:10, 0:10]
+for i in range(3):
+ data[:, i] = o[i].reshape(-1)
+data += rand(1000,6)
+data -= 0.5
+
+
+# dummy data
+data[:, 3] = sin(data[:, 0] * pi / 2.) + cos(data[:, 1] * pi / 4.) + data[:, 2]
+data[:, 4] = data[:, 0] + data[:, 1] + data[:, 2]
+data[:, 5] = 0
+
+# initialize regridding
+functor = regrid(data)
+
+# regular grid
+n = 50
+p = mgrid[0:n, 0:n, 0:n] / 5.
+data2 = zeros((n ** 3, 6))
+for i in range(3):
+ data2[:, i] = p[i].reshape(-1)
+
+# perform regridding
+functor(data2)
+
+# visualize some portion
+data2 = ma.masked_where(isnan(data2), data2)
+print data2.shape, data2[:, 3:].shape
+pcolor(data2[:, 3].reshape(n, n, n)[:, :, 5])
+colorbar()
+show()
+
+
diff --git a/scripts/compare methods/logfile.log b/scripts/compare methods/logfile.log
new file mode 100644
index 0000000..e69de29
diff --git a/scripts/create distributions/create_logo.py b/scripts/create distributions/create_logo.py
index fe6cde5..a1561fe 100644
--- a/scripts/create distributions/create_logo.py
+++ b/scripts/create distributions/create_logo.py
@@ -11,11 +11,9 @@ import numpy as np
from numpy import pi
import pyramid.magcreator as mc
-import pyramid.projector as pj
-import pyramid.phasemapper as pm
-import pyramid.holoimage as hi
+from pyramid.phasemapper import PMAdapterFM
from pyramid.magdata import MagData
-from pyramid.phasemap import PhaseMap
+from pyramid.projector import SimpleProjector
def create_logo():
@@ -43,9 +41,9 @@ def create_logo():
# Create magnetic data, project it, get the phase map and display the holography image:
mag_data = MagData(a, mc.create_mag_dist_homog(mag_shape, phi))
mag_data.quiver_plot()
- projection = pj.simple_axis_projection(mag_data)
- phase_map = PhaseMap(a, pm.phase_mag(a, projection))
- hi.display(hi.holo_image(phase_map, density), 'PYRAMID - LOGO', interpolation='bilinear')
+ projector = SimpleProjector(dim)
+ phase_map = PMAdapterFM(a, projector)(mag_data)
+ phase_map.display_holo(density, 'PYRAMID - LOGO', interpolation='bilinear', grad_encode='none')
if __name__ == "__main__":
diff --git a/scripts/create distributions/logfile.log b/scripts/create distributions/logfile.log
new file mode 100644
index 0000000..e69de29
diff --git a/scripts/edinburgh_test.py b/scripts/edinburgh_test.py
new file mode 100644
index 0000000..f101582
--- /dev/null
+++ b/scripts/edinburgh_test.py
@@ -0,0 +1,50 @@
+# -*- coding: utf-8 -*-
+"""
+Created on Tue Jan 28 15:15:08 2014
+
+@author: Jan
+"""
+
+
+import numpy as np
+from pyramid.magdata import MagData
+from pyramid.projector import SimpleProjector
+from pyramid.phasemapper import PMAdapterFM
+from matplotlib.ticker import FuncFormatter
+
+data = np.loadtxt('../output/data from Edinburgh/long_grain_remapped_0p0035.txt', delimiter=',')
+
+a = 1000 * (data[1, 2] - data[0, 2])
+
+dim = len(np.unique(data[:, 2])), len(np.unique(data[:, 1])), len(np.unique(data[:, 0]))
+
+mag_vec = np.concatenate([data[:, 3], data[:, 4], data[:, 5]])
+
+x_mag = np.reshape(data[:, 3], dim, order='F')
+y_mag = np.reshape(data[:, 4], dim, order='F')
+z_mag = np.reshape(data[:, 5], dim, order='F')
+
+magnitude = np.array((x_mag, y_mag, z_mag))
+
+mag_data = MagData(a, magnitude)
+
+mag_data.pad(30, 20, 0)
+
+mag_data.scale_up()
+
+mag_data.quiver_plot()
+
+#mag_data.quiver_plot3d()
+
+projector = SimpleProjector(mag_data.dim)
+
+phasemapper = PMAdapterFM(mag_data.a, projector)
+
+phase_map = phasemapper(mag_data)
+
+phase_axis = phase_map.display_combined(density=20, interpolation='bilinear')[0]
+
+phase_axis.xaxis.set_major_formatter(FuncFormatter(lambda x, pos: '{:3.0f}'.format(x*mag_data.a)))
+phase_axis.yaxis.set_major_formatter(FuncFormatter(lambda x, pos: '{:3.0f}'.format(x*mag_data.a)))
+
+#phase_map.display_phase3d()
diff --git a/scripts/images_poster.py b/scripts/images_poster.py
new file mode 100644
index 0000000..d008673
--- /dev/null
+++ b/scripts/images_poster.py
@@ -0,0 +1,63 @@
+# -*- coding: utf-8 -*-
+"""
+Created on Wed Feb 05 19:19:19 2014
+
+@author: Jan
+"""
+
+import os
+from numpy import pi
+
+import pyramid.magcreator as mc
+from pyramid.magdata import MagData
+from pyramid.phasemapper import PMConvolve
+from pyramid.projector import SimpleProjector
+
+import matplotlib.pyplot as plt
+
+
+
+directory = '../output/poster'
+if not os.path.exists(directory):
+ os.makedirs(directory)
+# Input parameters:
+a = 10.0 # nm
+dim = (64, 128, 128)
+# Slab:f
+center = (32, 32, 32) # in px (z, y, x), index starts with 0!
+width = (322, 48, 48) # in px (z, y, x)
+mag_shape_slab = mc.Shapes.slab(dim, center, width)
+# Disc:
+center = (32, 32, 96) # in px (z, y, x), index starts with 0!
+radius = 24 # in px
+height = 24 # in px
+mag_shape_disc = mc.Shapes.disc(dim, center, radius, height)
+# Sphere:
+center = (32, 96, 64) # in px (z, y, x), index starts with 0!
+radius = 24 # in px
+mag_shape_sphere = mc.Shapes.sphere(dim, center, radius)
+# Create empty MagData object and add magnetized objects:
+mag_data = MagData(a, mc.create_mag_dist_homog(mag_shape_slab, pi/6))
+mag_data += MagData(a, mc.create_mag_dist_vortex(mag_shape_disc, (32, 96)))
+mag_data += MagData(a, mc.create_mag_dist_homog(mag_shape_sphere, -pi/4))
+# Plot the magnetic distribution, phase map and holographic contour map:
+mag_data_coarse = mag_data.copy()
+mag_data_coarse.scale_down(2)
+mag_data_coarse.quiver_plot()
+plt.savefig(os.path.join(directory, 'mag.png'))
+mag_data_coarse.quiver_plot3d()
+projector = SimpleProjector(dim)
+phase_map = PMConvolve(a, projector, b_0=0.1)(mag_data)
+phase_map.display_phase()
+plt.savefig(os.path.join(directory, 'phase.png'))
+phase_map.display_holo(density=4, interpolation='bilinear')
+plt.savefig(os.path.join(directory, 'holo.png'))
+
+
+dim = (1, 9, 9)
+mag_shape = mc.Shapes.pixel(dim, (int(dim[0]/2), int(dim[1]/2), int(dim[2]/2)))
+mag_data_x = MagData(a, mc.create_mag_dist_homog(mag_shape, 0))
+mag_data_y = MagData(a, mc.create_mag_dist_homog(mag_shape, pi/2))
+phasemapper = PMConvolve(a, SimpleProjector(dim))
+phasemapper(mag_data_x).display_phase()
+phasemapper(mag_data_y).display_phase()
\ No newline at end of file
diff --git a/scripts/logfile.log b/scripts/logfile.log
new file mode 100644
index 0000000..8354e33
--- /dev/null
+++ b/scripts/logfile.log
@@ -0,0 +1 @@
+2014-02-08 21:43:12: INFO @ <root>: Calling copy
diff --git a/scripts/paper 1/ch5-0-evaluation_and_comparison.py b/scripts/paper 1/ch5-0-evaluation_and_comparison.py
index bdae236..00463cc 100644
--- a/scripts/paper 1/ch5-0-evaluation_and_comparison.py
+++ b/scripts/paper 1/ch5-0-evaluation_and_comparison.py
@@ -6,9 +6,6 @@ Created on Fri Jul 26 14:37:20 2013
"""
-import sys
-import traceback
-import pdb
import os
import numpy as np
@@ -24,99 +21,90 @@ import matplotlib.pyplot as plt
from matplotlib.ticker import FixedFormatter, IndexLocator
-def run():
-
- print '\nACCESS SHELVE'
- # Create / Open databank:
- directory = '../../output/paper 1'
- if not os.path.exists(directory):
- os.makedirs(directory)
- data_shelve = shelve.open(directory + '/paper_1_shelve')
-
- ###############################################################################################
- print 'CH5-0 KERNELS'
-
- x = np.linspace(-5, 5, 1000)
-
- y_r = x/np.abs(x)**3
- y_k = x/np.abs(x)**2
- fig = plt.figure()
- axis = fig.add_subplot(1, 1, 1, aspect='equal')
- axis.plot(x,y_r, 'r', label=r'$r/|r|^3$')
- axis.plot(x,y_k, 'b', label=r'$k/|k|^2$')
- axis.set_xlim(-5, 5)
- axis.set_ylim(-5, 5)
- axis.axvline(0, linewidth=2, color='k')
- axis.axhline(0, linewidth=2, color='k')
- axis.legend()
-
- ###############################################################################################
- print 'CH5-0 MAGNETIC DISTRIBUTIONS'
-
- key = 'ch5-0-magnetic_distributions'
- if key in data_shelve:
- print '--LOAD MAGNETIC DISTRIBUTIONS'
- (mag_data_disc, mag_data_vort) = data_shelve[key]
- else:
- print '--CREATE MAGNETIC DISTRIBUTIONS'
- # Input parameters:
- a = 1.0 # in nm
- phi = pi/2
- dim = (16, 128, 128) # in px (z, y, x)
- # Create magnetic shape:
- center = (dim[0]/2-0.5, dim[1]/2.-0.5, dim[2]/2.-0.5) # in px (z, y, x) index starts at 0!
- radius = dim[1]/4 # in px
- height = dim[0]/2 # in px
- mag_shape = mc.Shapes.disc(dim, center, radius, height)
- print '--CREATE MAGN. DISTR. OF HOMOG. MAG. DISC'
- mag_data_disc = MagData(a, mc.create_mag_dist_homog(mag_shape, phi))
- mag_data_disc.scale_down(2)
- print '--CREATE MAGN. DISTR. OF VORTEX STATE DISC'
- mag_data_vort = MagData(a, mc.create_mag_dist_vortex(mag_shape, center))
- mag_data_vort.scale_down(2)
- # Mayavi-Plots:
- mag_data_disc.quiver_plot3d()
- mag_data_vort.quiver_plot3d()
- print '--SHELVE MAGNETIC DISTRIBUTIONS'
- data_shelve[key] = (mag_data_disc, mag_data_vort)
-
- print '--PLOT/SAVE MAGNETIC DISTRIBUTIONS'
- fig, axes = plt.subplots(1, 2, figsize=(16, 7))
- fig.suptitle('Magnetic Distributions', fontsize=20)
- # Plot MagData (Disc):
- mag_data_disc.quiver_plot('Homog. magn. disc', axis=axes[0])
- axes[0].set_aspect('equal')
- axes[0].xaxis.set_major_locator(IndexLocator(base=4, offset=-0.5))
- axes[0].yaxis.set_major_locator(IndexLocator(base=4, offset=-0.5))
- axes[0].xaxis.set_major_formatter(FixedFormatter([16*i for i in range(10)]))
- axes[0].yaxis.set_major_formatter(FixedFormatter([16*i for i in range(10)]))
- axes[0].set_xlabel('x [nm]', fontsize=15)
- axes[0].set_ylabel('x [ym]', fontsize=15)
- # Plot MagData (Disc):
- mag_data_vort.quiver_plot('Vortex state disc', axis=axes[1])
- axes[1].set_aspect('equal')
- axes[1].xaxis.set_major_locator(IndexLocator(base=4, offset=-0.5))
- axes[1].yaxis.set_major_locator(IndexLocator(base=4, offset=-0.5))
- axes[1].xaxis.set_major_formatter(FixedFormatter([16*i for i in range(10)]))
- axes[1].yaxis.set_major_formatter(FixedFormatter([16*i for i in range(10)]))
- axes[1].set_xlabel('x [nm]', fontsize=15)
- axes[1].set_ylabel('x [ym]', fontsize=15)
- # Save Plots:
- plt.figtext(0.15, 0.15, 'a)', fontsize=30)
- plt.figtext(0.57, 0.15, 'b)', fontsize=30)
- plt.savefig(directory + '/ch5-0-magnetic_distributions.png', bbox_inches='tight')
-
- ###############################################################################################
- print 'CLOSING SHELVE\n'
- # Close shelve:
- data_shelve.close()
-
- ###############################################################################################
-
-if __name__ == "__main__":
- try:
- run()
- except:
- type, value, tb = sys.exc_info()
- traceback.print_exc()
- pdb.post_mortem(tb)
+force_calculation = False
+
+
+print '\nACCESS SHELVE'
+# Create / Open databank:
+directory = '../../output/paper 1'
+if not os.path.exists(directory):
+ os.makedirs(directory)
+data_shelve = shelve.open(directory + '/paper_1_shelve')
+
+###############################################################################################
+print 'CH5-0 KERNELS'
+
+x = np.linspace(-5, 5, 1000)
+
+y_r = x/np.abs(x)**3
+y_k = x/np.abs(x)**2
+fig = plt.figure()
+axis = fig.add_subplot(1, 1, 1, aspect='equal')
+axis.plot(x,y_r, 'r', label=r'$r/|r|^3$')
+axis.plot(x,y_k, 'b', label=r'$k/|k|^2$')
+axis.set_xlim(-5, 5)
+axis.set_ylim(-5, 5)
+axis.axvline(0, linewidth=2, color='k')
+axis.axhline(0, linewidth=2, color='k')
+axis.legend()
+
+###############################################################################################
+print 'CH5-0 MAGNETIC DISTRIBUTIONS'
+
+key = 'ch5-0-magnetic_distributions'
+if key in data_shelve and not force_calculation:
+ print '--LOAD MAGNETIC DISTRIBUTIONS'
+ (mag_data_disc, mag_data_vort) = data_shelve[key]
+else:
+ print '--CREATE MAGNETIC DISTRIBUTIONS'
+ # Input parameters:
+ a = 1.0 # in nm
+ phi = pi/2
+ dim = (16, 128, 128) # in px (z, y, x)
+ # Create magnetic shape:
+ center = (dim[0]/2-0.5, dim[1]/2.-0.5, dim[2]/2.-0.5) # in px (z, y, x) index starts at 0!
+ radius = dim[1]/4 # in px
+ height = dim[0]/2 # in px
+ mag_shape = mc.Shapes.disc(dim, center, radius, height)
+ print '--CREATE MAGN. DISTR. OF HOMOG. MAG. DISC'
+ mag_data_disc = MagData(a, mc.create_mag_dist_homog(mag_shape, phi))
+ mag_data_disc.scale_down(2)
+ print '--CREATE MAGN. DISTR. OF VORTEX STATE DISC'
+ mag_data_vort = MagData(a, mc.create_mag_dist_vortex(mag_shape, center))
+ mag_data_vort.scale_down(2)
+ # Mayavi-Plots:
+ mag_data_disc.quiver_plot3d()
+ mag_data_vort.quiver_plot3d()
+ print '--SHELVE MAGNETIC DISTRIBUTIONS'
+ data_shelve[key] = (mag_data_disc, mag_data_vort)
+
+print '--PLOT/SAVE MAGNETIC DISTRIBUTIONS'
+fig, axes = plt.subplots(1, 2, figsize=(16, 7))
+fig.suptitle('Magnetic Distributions', fontsize=20)
+# Plot MagData (Disc):
+mag_data_disc.quiver_plot('Homog. magn. disc', axis=axes[0])
+axes[0].set_aspect('equal')
+axes[0].xaxis.set_major_locator(IndexLocator(base=4, offset=-0.5))
+axes[0].yaxis.set_major_locator(IndexLocator(base=4, offset=-0.5))
+axes[0].xaxis.set_major_formatter(FixedFormatter([16*i for i in range(10)]))
+axes[0].yaxis.set_major_formatter(FixedFormatter([16*i for i in range(10)]))
+axes[0].set_xlabel('x [nm]', fontsize=15)
+axes[0].set_ylabel('x [nm]', fontsize=15)
+# Plot MagData (Disc):
+mag_data_vort.quiver_plot('Vortex state disc', axis=axes[1])
+axes[1].set_aspect('equal')
+axes[1].xaxis.set_major_locator(IndexLocator(base=4, offset=-0.5))
+axes[1].yaxis.set_major_locator(IndexLocator(base=4, offset=-0.5))
+axes[1].xaxis.set_major_formatter(FixedFormatter([16*i for i in range(10)]))
+axes[1].yaxis.set_major_formatter(FixedFormatter([16*i for i in range(10)]))
+axes[1].set_xlabel('x [nm]', fontsize=15)
+axes[1].set_ylabel('x [nm]', fontsize=15)
+# Save Plots:
+plt.figtext(0.15, 0.15, 'a)', fontsize=30)
+plt.figtext(0.57, 0.15, 'b)', fontsize=30)
+plt.savefig(directory + '/ch5-0-magnetic_distributions.png', bbox_inches='tight')
+
+###############################################################################################
+print 'CLOSING SHELVE\n'
+# Close shelve:
+data_shelve.close()
diff --git a/scripts/paper 1/ch5-1-evaluation_real_space.py b/scripts/paper 1/ch5-1-evaluation_real_space.py
index babbdcb..d3a618a 100644
--- a/scripts/paper 1/ch5-1-evaluation_real_space.py
+++ b/scripts/paper 1/ch5-1-evaluation_real_space.py
@@ -6,9 +6,6 @@ Created on Fri Jul 26 14:37:30 2013
"""
-import pdb
-import traceback
-import sys
import os
import numpy as np
@@ -17,10 +14,9 @@ from numpy import pi
import shelve
import pyramid.magcreator as mc
-import pyramid.projector as pj
-import pyramid.phasemapper as pm
-import pyramid.holoimage as hi
import pyramid.analytic as an
+from pyramid.projector import SimpleProjector
+from pyramid.phasemapper import PMConvolve
from pyramid.magdata import MagData
from pyramid.phasemap import PhaseMap
@@ -31,346 +27,332 @@ from matplotlib.cm import RdBu
from matplotlib.patches import Rectangle
+force_calculation = False
PHI_0 = -2067.83 # magnetic flux in T*nm²
-def run():
-
- print '\nACCESS SHELVE'
- # Create / Open databank:
- directory = '../../output/paper 1'
- if not os.path.exists(directory):
- os.makedirs(directory)
- data_shelve = shelve.open(directory + '/paper_1_shelve')
-
- ###############################################################################################
- print 'CH5-1 ANALYTIC SOLUTIONS'
-
- # Input parameters:
- a = 0.125 # in nm
- phi = pi/2
- dim = (128, 1024, 1024) # in px (z, y, x)
- density = 100
- # Create magnetic shape:
- center = (dim[0]/2-0.5, dim[1]/2.-0.5, dim[2]/2.-0.5) # in px (z, y, x) index starts with 0!
- radius = dim[1]/4 # in px
- height = dim[0]/2 # in px
- print '--CALCULATE ANALYTIC SOLUTIONS'
- # Get analytic solution:
- phase_ana_disc = an.phase_mag_disc(dim, a, phi, center, radius, height)
- phase_ana_vort = an.phase_mag_vortex(dim, a, center, radius, height)
- phase_map_ana_disc = PhaseMap(a, phase_ana_disc)
- phase_map_ana_vort = PhaseMap(a, phase_ana_vort)
- print '--PLOT/SAVE ANALYTIC SOLUTIONS'
- hi.display_combined(phase_map_ana_disc, density,
- 'Analytic solution: hom. magn. disc', 'bilinear')
- axis = plt.gcf().add_subplot(1, 2, 2, aspect='equal')
- axis.axhline(y=512, linewidth=3, linestyle='--', color='r')
- plt.figtext(0.15, 0.2, 'a)', fontsize=30, color='w')
- plt.figtext(0.52, 0.2, 'b)', fontsize=30)
- plt.savefig(directory + '/ch5-1-analytic_solution_disc.png', bbox_inches='tight')
- hi.display_combined(phase_map_ana_vort, density,
- 'Analytic solution: vortex state', 'bilinear')
- axis = plt.gcf().add_subplot(1, 2, 2, aspect='equal')
- axis.axhline(y=512, linewidth=3, linestyle='--', color='r')
- plt.figtext(0.15, 0.2, 'c)', fontsize=30, color='w')
- plt.figtext(0.52, 0.2, 'd)', fontsize=30)
- plt.savefig(directory + '/ch5-1-analytic_solution_vort.png', bbox_inches='tight')
- # Get colorwheel:
- hi.make_color_wheel()
- plt.figtext(0.15, 0.14, 'e)', fontsize=30, color='w')
- plt.savefig(directory + '/ch5-1-colorwheel.png', bbox_inches='tight')
-
- ###############################################################################################
- print 'CH5-1 PHASE SLICES REAL SPACE'
-
- # Input parameters:
- a = 0.25 # in nm
- phi = pi/2
- density = 100
- dim = (64, 512, 512) # in px (z, y, x)
- # Create magnetic shape:
- center = (dim[0]/2-0.5, dim[1]/2.-0.5, dim[2]/2.-0.5) # in px (z, y, x) index starts with 0!
- radius = dim[1]/4 # in px
- height = dim[0]/2 # in px
-
- key = 'ch5-1-phase_slices_real'
- if key in data_shelve:
- print '--LOAD MAGNETIC DISTRIBUTION'
- (x_d, y_d, dy_d, x_v, y_v, dy_v) = data_shelve[key]
- else:
- print '--CREATE MAGNETIC DISTRIBUTION'
- mag_shape = mc.Shapes.disc(dim, center, radius, height)
-
- print '--CREATE PHASE SLICES HOMOG. MAGN. DISC'
- # Arrays for plotting:
- x_d = []
- y_d = []
- dy_d = []
- # Analytic solution:
- L = dim[1] * a # in px/nm
- Lz = 0.5 * dim[0] * a # in px/nm
- R = 0.25 * L # in px/nm
- x0 = L / 2 # in px/nm
-
- def F_disc(x):
- coeff = - pi * Lz / (2*PHI_0) * 1E3 # in mrad -> *1000
- result = coeff * (- (x - x0) * np.sin(phi))
- result *= np.where(np.abs(x - x0) <= R, 1, (R / (x - x0)) ** 2)
- return result
-
- x_d.append(np.linspace(0, L, 5000))
- y_d.append(F_disc(x_d[0]))
- dy_d.append(np.zeros_like(x_d[0]))
- # Create MagData (Disc):
- mag_data_disc = MagData(a, mc.create_mag_dist_homog(mag_shape, phi))
- for i in range(5):
- mag_data_disc.scale_down()
- print '----a =', mag_data_disc.a, 'nm', 'dim =', mag_data_disc.dim
- projection = pj.simple_axis_projection(mag_data_disc)
- phase_map = PhaseMap(mag_data_disc.a, pm.phase_mag(mag_data_disc.a, projection))
- hi.display_combined(phase_map, density, 'Disc, a = {} nm'.format(mag_data_disc.a))
- x_d.append(np.linspace(mag_data_disc.a * 0.5,
- mag_data_disc.a * (mag_data_disc.dim[1]-0.5),
- mag_data_disc.dim[1]))
- slice_pos = int(mag_data_disc.dim[1]/2)
- y_d.append(phase_map.phase[slice_pos, :]*1E3) # *1E3: rad to mrad
- dy_d.append(phase_map.phase[slice_pos, :]*1E3 - F_disc(x_d[-1])) # *1E3: rad to mrad
-
- print '--CREATE PHASE SLICES VORTEX STATE DISC'
- x_v = []
- y_v = []
- dy_v = []
- # Analytic solution:
- L = dim[1] * a # in px/nm
- Lz = 0.5 * dim[0] * a # in px/nm
- R = 0.25 * L # in px/nm
- x0 = L / 2 # in px/nm
-
- def F_vort(x):
- coeff = pi*Lz/PHI_0 * 1E3 # in mrad -> *1000
- result = coeff * np.where(np.abs(x - x0) <= R, (np.abs(x-x0)-R), 0)
- return result
-
- x_v.append(np.linspace(0, L, 5001))
- y_v.append(F_vort(x_v[0]))
- dy_v.append(np.zeros_like(x_v[0]))
- # Create MagData (Vortex):
- mag_data_vort = MagData(a, mc.create_mag_dist_vortex(mag_shape))
- for i in range(5):
- mag_data_vort.scale_down()
- print '----a =', mag_data_vort.a, 'nm', 'dim =', mag_data_vort.dim
- projection = pj.simple_axis_projection(mag_data_vort)
- phase_map = PhaseMap(mag_data_vort.a, pm.phase_mag(mag_data_vort.a, projection))
- hi.display_combined(phase_map, density, 'Disc, a = {} nm'.format(mag_data_vort.a))
- x_v.append(np.linspace(mag_data_vort.a * 0.5,
- mag_data_vort.a * (mag_data_vort.dim[1]-0.5),
- mag_data_vort.dim[1]))
- slice_pos = int(mag_data_vort.dim[1]/2)
- y_v.append(phase_map.phase[slice_pos, :]*1E3) # *1E3: rad to mrad
- dy_v.append(phase_map.phase[slice_pos, :]*1E3 - F_vort(x_v[-1])) # *1E3: rad to mrad
-
- # Shelve x, y and dy:
- print '--SAVE PHASE SLICES'
- data_shelve[key] = (x_d, y_d, dy_d, x_v, y_v, dy_v)
-
- # Create figure:
- fig, axes = plt.subplots(1, 2, figsize=(16, 7))
- fig.suptitle('Central phase slices', fontsize=20)
-
- print '--PLOT/SAVE PHASE SLICES HOMOG. MAGN. DISC'
- # Plot phase slices:
- axes[0].plot(x_d[0], y_d[0], '-k', linewidth=1.5, label='analytic')
- axes[0].plot(x_d[1], y_d[1], '-r', linewidth=1.5, label='0.5 nm')
- axes[0].plot(x_d[2], y_d[2], '-m', linewidth=1.5, label='1 nm')
- axes[0].plot(x_d[3], y_d[3], '-y', linewidth=1.5, label='2 nm')
- axes[0].plot(x_d[4], y_d[4], '-g', linewidth=1.5, label='4 nm')
- axes[0].plot(x_d[5], y_d[5], '-c', linewidth=1.5, label='8 nm')
- axes[0].tick_params(axis='both', which='major', labelsize=14)
- axes[0].set_title('Homog. magn. disc', fontsize=18)
- axes[0].set_xlabel('x [nm]', fontsize=15)
- axes[0].set_ylabel('phase [mrad]', fontsize=15)
- axes[0].set_xlim(0, 128)
- axes[0].set_ylim(-220, 220)
- # Plot Zoombox and Arrow:
- zoom = (23.5, 160, 15, 40)
- rect = Rectangle((zoom[0], zoom[1]), zoom[2], zoom[3], fc='w', ec='k')
- axes[0].add_patch(rect)
- axes[0].arrow(zoom[0]+zoom[2], zoom[1]+zoom[3]/2, 36, 0, length_includes_head=True,
- head_width=10, head_length=4, fc='k', ec='k')
- # Plot zoom inset:
- ins_axis_d = plt.axes([0.33, 0.57, 0.14, 0.3])
- ins_axis_d.plot(x_d[0], y_d[0], '-k', linewidth=1.5, label='analytic')
- ins_axis_d.plot(x_d[1], y_d[1], '-r', linewidth=1.5, label='0.5 nm')
- ins_axis_d.plot(x_d[2], y_d[2], '-m', linewidth=1.5, label='1 nm')
- ins_axis_d.plot(x_d[3], y_d[3], '-y', linewidth=1.5, label='2 nm')
- ins_axis_d.plot(x_d[4], y_d[4], '-g', linewidth=1.5, label='4 nm')
- ins_axis_d.plot(x_d[5], y_d[5], '-c', linewidth=1.5, label='8 nm')
- ins_axis_d.tick_params(axis='both', which='major', labelsize=14)
- ins_axis_d.set_xlim(zoom[0], zoom[0]+zoom[2])
- ins_axis_d.set_ylim(zoom[1], zoom[1]+zoom[3])
- ins_axis_d.xaxis.set_major_locator(MaxNLocator(nbins=4, integer=True))
- ins_axis_d.yaxis.set_major_locator(MaxNLocator(nbins=3))
-
- print '--PLOT/SAVE PHASE SLICES VORTEX STATE DISC'
- # Plot phase slices:
- axes[1].plot(x_v[0], y_v[0], '-k', linewidth=1.5, label='analytic')
- axes[1].plot(x_v[1], y_v[1], '-r', linewidth=1.5, label='0.5 nm')
- axes[1].plot(x_v[2], y_v[2], '-m', linewidth=1.5, label='1 nm')
- axes[1].plot(x_v[3], y_v[3], '-y', linewidth=1.5, label='2 nm')
- axes[1].plot(x_v[4], y_v[4], '-g', linewidth=1.5, label='4 nm')
- axes[1].plot(x_v[5], y_v[5], '-c', linewidth=1.5, label='8 nm')
- axes[1].tick_params(axis='both', which='major', labelsize=14)
- axes[1].set_title('Vortex state disc', fontsize=18)
- axes[1].set_xlabel('x [nm]', fontsize=15)
- axes[1].set_ylabel('phase [mrad]', fontsize=15)
- axes[1].set_xlim(0, 128)
- axes[1].yaxis.set_major_locator(MaxNLocator(nbins=6))
- axes[1].legend()
- # Plot Zoombox and Arrow:
- zoom = (59, 340, 10, 55)
- rect = Rectangle((zoom[0], zoom[1]), zoom[2], zoom[3], fc='w', ec='k')
- axes[1].add_patch(rect)
- axes[1].arrow(zoom[0]+zoom[2]/2, zoom[1], 0, -193, length_includes_head=True,
- head_width=2, head_length=20, fc='k', ec='k')
- # Plot zoom inset:
- ins_axis_v = plt.axes([0.695, 0.15, 0.075, 0.3])
- ins_axis_v.plot(x_v[0], y_v[0], '-k', linewidth=1.5, label='analytic')
- ins_axis_v.plot(x_v[1], y_v[1], '-r', linewidth=1.5, label='0.5 nm')
- ins_axis_v.plot(x_v[2], y_v[2], '-m', linewidth=1.5, label='1 nm')
- ins_axis_v.plot(x_v[3], y_v[3], '-y', linewidth=1.5, label='2 nm')
- ins_axis_v.plot(x_v[4], y_v[4], '-g', linewidth=1.5, label='4 nm')
- ins_axis_v.plot(x_v[5], y_v[5], '-c', linewidth=1.5, label='8 nm')
- ins_axis_v.tick_params(axis='both', which='major', labelsize=14)
- ins_axis_v.set_xlim(zoom[0], zoom[0]+zoom[2])
- ins_axis_v.set_ylim(zoom[1], zoom[1]+zoom[3])
- ins_axis_v.xaxis.set_major_locator(MaxNLocator(nbins=4, integer=True))
- ins_axis_v.yaxis.set_major_locator(MaxNLocator(nbins=4))
-
- plt.show()
- plt.figtext(0.15, 0.13, 'a)', fontsize=30)
- plt.figtext(0.57, 0.13, 'b)', fontsize=30)
- plt.savefig(directory + '/ch5-1-phase_slice_comparison.png', bbox_inches='tight')
-
- # Create figure:
- fig, axes = plt.subplots(1, 2, figsize=(16, 7))
- fig.suptitle('Central phase slice errors', fontsize=20)
-
- print '--PLOT/SAVE PHASE SLICE ERRORS HOMOG. MAGN. DISC'
- # Plot phase slices:
- axes[0].plot(x_d[0], dy_d[0], '-k', linewidth=1.5, label='analytic')
- axes[0].plot(x_d[1], dy_d[1], '-r', linewidth=1.5, label='0.5 nm')
- axes[0].plot(x_d[2], dy_d[2], '-m', linewidth=1.5, label='1 nm')
- axes[0].plot(x_d[3], dy_d[3], '-y', linewidth=1.5, label='2 nm')
- axes[0].plot(x_d[4], dy_d[4], '-g', linewidth=1.5, label='4 nm')
- axes[0].plot(x_d[5], dy_d[5], '-c', linewidth=1.5, label='8 nm')
- axes[0].tick_params(axis='both', which='major', labelsize=14)
- axes[0].set_title('Homog. magn. disc', fontsize=18)
- axes[0].set_xlabel('x [nm]', fontsize=15)
- axes[0].set_ylabel('phase [mrad]', fontsize=15)
- axes[0].set_xlim(0, 128)
-
- print '--PLOT/SAVE PHASE SLICE ERRORS VORTEX STATE DISC'
- # Plot phase slices:
- axes[1].plot(x_v[0], dy_v[0], '-k', linewidth=1.5, label='analytic')
- axes[1].plot(x_v[1], dy_v[1], '-r', linewidth=1.5, label='0.5 nm')
- axes[1].plot(x_v[2], dy_v[2], '-m', linewidth=1.5, label='1 nm')
- axes[1].plot(x_v[3], dy_v[3], '-y', linewidth=1.5, label='2 nm')
- axes[1].plot(x_v[4], dy_v[4], '-g', linewidth=1.5, label='4 nm')
- axes[1].plot(x_v[5], dy_v[5], '-c', linewidth=1.5, label='8 nm')
- axes[1].tick_params(axis='both', which='major', labelsize=14)
- axes[1].set_title('Vortex state disc', fontsize=18)
- axes[1].set_xlabel('x [nm]', fontsize=15)
- axes[1].set_ylabel('phase [mrad]', fontsize=15)
- axes[1].set_xlim(0, 128)
- axes[1].legend(loc=4)
-
- plt.show()
- plt.figtext(0.15, 0.13, 'a)', fontsize=30)
- plt.figtext(0.57, 0.13, 'b)', fontsize=30)
- plt.savefig(directory + '/ch5-1-phase_slice_errors.png', bbox_inches='tight')
-
- ###############################################################################################
- print 'CH5-1 PHASE DIFFERENCES REAL SPACE'
-
- # Input parameters:
- a = 1.0 # in nm
- phi = pi/2
- dim = (16, 128, 128) # in px (z, y, x)
- center = (dim[0]/2-0.5, dim[1]/2.-0.5, dim[2]/2.-0.5) # in px (z, y, x) index starts with 0!
- radius = dim[1]/4 # in px
- height = dim[0]/2 # in px
-
- key = 'ch5-1-phase_diff_mag_dist'
- if key in data_shelve:
- print '--LOAD MAGNETIC DISTRIBUTIONS'
- (mag_data_disc, mag_data_vort) = data_shelve[key]
- else:
- print '--CREATE MAGNETIC DISTRIBUTIONS'
- # Create magnetic shape (4 times the size):
- a_big = a / 2
- dim_big = (dim[0]*2, dim[1]*2, dim[2]*2)
- center_big = (dim_big[0]/2-0.5, dim_big[1]/2.-0.5, dim_big[2]/2.-0.5)
- radius_big = dim_big[1]/4 # in px
- height_big = dim_big[0]/2 # in px
- mag_shape = mc.Shapes.disc(dim_big, center_big, radius_big, height_big)
- # Create MagData (4 times the size):
- mag_data_disc = MagData(a_big, mc.create_mag_dist_homog(mag_shape, phi))
- mag_data_vort = MagData(a_big, mc.create_mag_dist_vortex(mag_shape, center_big))
- # Scale mag_data, grid spacing and dimensions:
- mag_data_disc.scale_down()
- mag_data_vort.scale_down()
- print '--SAVE MAGNETIC DISTRIBUTIONS'
- # Shelve magnetic distributions:
- data_shelve[key] = (mag_data_disc, mag_data_vort)
-
- print '--CALCULATE PHASE DIFFERENCES'
- # Create projections along z-axis:
- projection_disc = pj.simple_axis_projection(mag_data_disc)
- projection_vort = pj.simple_axis_projection(mag_data_vort)
- # Get analytic solutions:
- phase_ana_disc = an.phase_mag_disc(dim, a, phi, center, radius, height)
- phase_ana_vort = an.phase_mag_vortex(dim, a, center, radius, height)
- # Create norm for the plots:
- bounds = np.array([-3, -0.5, -0.25, -0.1, 0, 0.1, 0.25, 0.5, 3])
- norm = BoundaryNorm(bounds, RdBu.N)
- # Calculations (Disc):
- phase_num_disc = pm.phase_mag(a, projection_disc)
- phase_diff_disc = PhaseMap(a, (phase_num_disc-phase_ana_disc), 'mrad')
- RMS_disc = np.sqrt(np.mean(phase_diff_disc.phase**2))
- # Calculations (Vortex):
- phase_num_vort = pm.phase_mag(a, projection_vort)
- phase_diff_vort = PhaseMap(a, (phase_num_vort-phase_ana_vort), 'mrad')
- RMS_vort = np.sqrt(np.mean(phase_diff_vort.phase**2))
-
- print '--PLOT/SAVE PHASE DIFFERENCES'
- fig, axes = plt.subplots(1, 2, figsize=(16, 7))
- fig.suptitle('Difference of the real space approach from the analytical solution', fontsize=20)
- # Plot MagData (Disc):
- phase_diff_disc.display('Homog. magn. disc, RMS = {:3.2f} mrad'.format(RMS_disc),
- limit=np.max(bounds), norm=norm, axis=axes[0])
- axes[0].set_aspect('equal')
- # Plot MagData (Disc):
- phase_diff_vort.display('Vortex state disc, RMS = {:3.2f} mrad'.format(RMS_vort),
- limit=np.max(bounds), norm=norm, axis=axes[1])
- axes[1].set_aspect('equal')
- # Save Plots:
- plt.figtext(0.15, 0.2, 'a)', fontsize=30)
- plt.figtext(0.52, 0.2, 'b)', fontsize=30)
- plt.savefig(directory + '/ch5-1-phase_differences.png', bbox_inches='tight')
-
- ###############################################################################################
- print 'CLOSING SHELVE\n'
- # Close shelve:
- data_shelve.close()
-
- ###############################################################################################
-
-
-if __name__ == "__main__":
- try:
- run()
- except:
- type, value, tb = sys.exc_info()
- traceback.print_exc()
- pdb.post_mortem(tb)
+print '\nACCESS SHELVE'
+# Create / Open databank:
+directory = '../../output/paper 1'
+if not os.path.exists(directory):
+ os.makedirs(directory)
+data_shelve = shelve.open(directory + '/paper_1_shelve')
+
+###############################################################################################
+print 'CH5-1 ANALYTIC SOLUTIONS'
+
+# Input parameters:
+a = 0.125 # in nm
+phi = pi/2
+dim = (128, 1024, 1024) # in px (z, y, x)
+density = 100
+# Create magnetic shape:
+center = (dim[0]/2-0.5, dim[1]/2.-0.5, dim[2]/2.-0.5) # in px (z, y, x) index starts with 0!
+radius = dim[1]/4 # in px
+height = dim[0]/2 # in px
+print '--CALCULATE ANALYTIC SOLUTIONS'
+# Get analytic solution:
+phase_map_ana_disc = an.phase_mag_disc(dim, a, phi, center, radius, height)
+phase_map_ana_vort = an.phase_mag_vortex(dim, a, center, radius, height)
+print '--PLOT/SAVE ANALYTIC SOLUTIONS'
+phase_map_ana_disc.display_combined(density, 'Analytic solution: hom. magn. disc', 'bilinear')
+axis = plt.gcf().add_subplot(1, 2, 2, aspect='equal')
+axis.axhline(y=512, linewidth=3, linestyle='--', color='r')
+plt.figtext(0.15, 0.2, 'a)', fontsize=30, color='w')
+#plt.figtext(0.52, 0.2, 'b)', fontsize=30)
+plt.savefig(directory + '/ch5-1-analytic_solution_disc.png', bbox_inches='tight')
+phase_map_ana_vort.display_combined(density, 'Analytic solution: vortex state', 'bilinear')
+axis = plt.gcf().add_subplot(1, 2, 2, aspect='equal')
+axis.axhline(y=512, linewidth=3, linestyle='--', color='r')
+plt.figtext(0.15, 0.2, 'c)', fontsize=30, color='w')
+plt.figtext(0.52, 0.2, 'd)', fontsize=30)
+plt.savefig(directory + '/ch5-1-analytic_solution_vort.png', bbox_inches='tight')
+# Get colorwheel:
+PhaseMap.make_color_wheel()
+plt.figtext(0.15, 0.14, 'e)', fontsize=30, color='w')
+plt.savefig(directory + '/ch5-1-colorwheel.png', bbox_inches='tight')
+
+###############################################################################################
+print 'CH5-1 PHASE SLICES REAL SPACE'
+
+# Input parameters:
+a = 0.5 # in nm
+phi = pi/2
+density = 100
+dim = (32, 256, 256) # in px (z, y, x)
+# Create magnetic shape:
+center = (dim[0]/2-0.5, dim[1]/2.-0.5, dim[2]/2.-0.5) # in px (z, y, x) index starts with 0!
+radius = dim[1]/4 # in px
+height = dim[0]/2 # in px
+
+key = 'ch5-1-phase_slices_real'
+if key in data_shelve and not force_calculation:
+ print '--LOAD MAGNETIC DISTRIBUTION'
+ (x_d, y_d, dy_d, x_v, y_v, dy_v) = data_shelve[key]
+else:
+ print '--CREATE MAGNETIC DISTRIBUTION'
+ mag_shape = mc.Shapes.disc(dim, center, radius, height)
+
+ print '--CREATE PHASE SLICES HOMOG. MAGN. DISC'
+ # Arrays for plotting:
+ x_d = []
+ y_d = []
+ dy_d = []
+ # Analytic solution:
+ L = dim[1] * a # in px/nm
+ Lz = 0.5 * dim[0] * a # in px/nm
+ R = 0.25 * L # in px/nm
+ x0 = L / 2 # in px/nm
+
+ def F_disc(x):
+ coeff = - pi * Lz / (2*PHI_0) * 1E3 # in mrad -> *1000
+ result = coeff * (- (x - x0) * np.sin(phi))
+ result *= np.where(np.abs(x - x0) <= R, 1, (R / (x - x0)) ** 2)
+ return result
+
+ x_d.append(np.linspace(0, L, 5000))
+ y_d.append(F_disc(x_d[0]))
+ dy_d.append(np.zeros_like(x_d[0]))
+ # Create MagData (Disc):
+ mag_data_disc = MagData(a, mc.create_mag_dist_homog(mag_shape, phi))
+ for i in range(5):
+ print '----a =', mag_data_disc.a, 'nm', 'dim =', mag_data_disc.dim
+ projector = SimpleProjector(mag_data_disc.dim)
+ phase_map = PMConvolve(mag_data_disc.a, projector)(mag_data_disc)
+ phase_map.display_combined(density, 'Disc, a = {} nm'.format(mag_data_disc.a))
+ x_d.append(np.linspace(mag_data_disc.a * 0.5,
+ mag_data_disc.a * (mag_data_disc.dim[1]-0.5),
+ mag_data_disc.dim[1]))
+ slice_pos = int(mag_data_disc.dim[1]/2)
+ y_d.append(phase_map.phase[slice_pos, :]*1E3) # *1E3: rad to mrad
+ dy_d.append(phase_map.phase[slice_pos, :]*1E3 - F_disc(x_d[-1])) # *1E3: rad to mrad
+ if i < 4: mag_data_disc.scale_down()
+
+ print '--CREATE PHASE SLICES VORTEX STATE DISC'
+ x_v = []
+ y_v = []
+ dy_v = []
+ # Analytic solution:
+ L = dim[1] * a # in px/nm
+ Lz = 0.5 * dim[0] * a # in px/nm
+ R = 0.25 * L # in px/nm
+ x0 = L / 2 # in px/nm
+
+ def F_vort(x):
+ coeff = pi*Lz/PHI_0 * 1E3 # in mrad -> *1000
+ result = coeff * np.where(np.abs(x - x0) <= R, (np.abs(x-x0)-R), 0)
+ return result
+
+ x_v.append(np.linspace(0, L, 5001))
+ y_v.append(F_vort(x_v[0]))
+ dy_v.append(np.zeros_like(x_v[0]))
+ # Create MagData (Vortex):
+ mag_data_vort = MagData(a, mc.create_mag_dist_vortex(mag_shape))
+ for i in range(5):
+ print '----a =', mag_data_vort.a, 'nm', 'dim =', mag_data_vort.dim
+ projector = SimpleProjector(mag_data_vort.dim)
+ phase_map = PMConvolve(mag_data_vort.a, projector)(mag_data_vort)
+ phase_map.display_combined(density, 'Disc, a = {} nm'.format(mag_data_vort.a))
+ x_v.append(np.linspace(mag_data_vort.a * 0.5,
+ mag_data_vort.a * (mag_data_vort.dim[1]-0.5),
+ mag_data_vort.dim[1]))
+ slice_pos = int(mag_data_vort.dim[1]/2)
+ y_v.append(phase_map.phase[slice_pos, :]*1E3) # *1E3: rad to mrad
+ dy_v.append(phase_map.phase[slice_pos, :]*1E3 - F_vort(x_v[-1])) # *1E3: rad to mrad
+ if i < 4: mag_data_vort.scale_down()
+
+ # Shelve x, y and dy:
+ print '--SAVE PHASE SLICES'
+ data_shelve[key] = (x_d, y_d, dy_d, x_v, y_v, dy_v)
+
+# Create figure:
+fig, axes = plt.subplots(1, 2, figsize=(16, 7))
+fig.suptitle('Central phase slices', fontsize=20)
+
+print '--PLOT/SAVE PHASE SLICES HOMOG. MAGN. DISC'
+# Plot phase slices:
+axes[0].plot(x_d[0], y_d[0], '-k', linewidth=1.5, label='analytic')
+axes[0].plot(x_d[1], y_d[1], '-r', linewidth=1.5, label='0.5 nm')
+axes[0].plot(x_d[2], y_d[2], '-m', linewidth=1.5, label='1 nm')
+axes[0].plot(x_d[3], y_d[3], '-y', linewidth=1.5, label='2 nm')
+axes[0].plot(x_d[4], y_d[4], '-g', linewidth=1.5, label='4 nm')
+axes[0].plot(x_d[5], y_d[5], '-c', linewidth=1.5, label='8 nm')
+axes[0].tick_params(axis='both', which='major', labelsize=14)
+axes[0].set_title('Homog. magn. disc', fontsize=18)
+axes[0].set_xlabel('x [nm]', fontsize=15)
+axes[0].set_ylabel('phase [mrad]', fontsize=15)
+axes[0].set_xlim(0, 128)
+axes[0].set_ylim(-220, 220)
+# Plot Zoombox and Arrow:
+zoom = (23.5, 160, 15, 40)
+rect = Rectangle((zoom[0], zoom[1]), zoom[2], zoom[3], fc='w', ec='k')
+axes[0].add_patch(rect)
+axes[0].arrow(zoom[0]+zoom[2], zoom[1]+zoom[3]/2, 36, 0, length_includes_head=True,
+ head_width=10, head_length=4, fc='k', ec='k')
+# Plot zoom inset:
+ins_axis_d = plt.axes([0.33, 0.57, 0.14, 0.3])
+ins_axis_d.plot(x_d[0], y_d[0], '-k', linewidth=1.5, label='analytic')
+ins_axis_d.plot(x_d[1], y_d[1], '-r', linewidth=1.5, label='0.5 nm')
+ins_axis_d.plot(x_d[2], y_d[2], '-m', linewidth=1.5, label='1 nm')
+ins_axis_d.plot(x_d[3], y_d[3], '-y', linewidth=1.5, label='2 nm')
+ins_axis_d.plot(x_d[4], y_d[4], '-g', linewidth=1.5, label='4 nm')
+ins_axis_d.plot(x_d[5], y_d[5], '-c', linewidth=1.5, label='8 nm')
+ins_axis_d.tick_params(axis='both', which='major', labelsize=14)
+ins_axis_d.set_xlim(zoom[0], zoom[0]+zoom[2])
+ins_axis_d.set_ylim(zoom[1], zoom[1]+zoom[3])
+ins_axis_d.xaxis.set_major_locator(MaxNLocator(nbins=4, integer=True))
+ins_axis_d.yaxis.set_major_locator(MaxNLocator(nbins=3))
+
+print '--PLOT/SAVE PHASE SLICES VORTEX STATE DISC'
+# Plot phase slices:
+axes[1].plot(x_v[0], y_v[0], '-k', linewidth=1.5, label='analytic')
+axes[1].plot(x_v[1], y_v[1], '-r', linewidth=1.5, label='0.5 nm')
+axes[1].plot(x_v[2], y_v[2], '-m', linewidth=1.5, label='1 nm')
+axes[1].plot(x_v[3], y_v[3], '-y', linewidth=1.5, label='2 nm')
+axes[1].plot(x_v[4], y_v[4], '-g', linewidth=1.5, label='4 nm')
+axes[1].plot(x_v[5], y_v[5], '-c', linewidth=1.5, label='8 nm')
+axes[1].tick_params(axis='both', which='major', labelsize=14)
+axes[1].set_title('Vortex state disc', fontsize=18)
+axes[1].set_xlabel('x [nm]', fontsize=15)
+axes[1].set_ylabel('phase [mrad]', fontsize=15)
+axes[1].set_xlim(0, 128)
+axes[1].yaxis.set_major_locator(MaxNLocator(nbins=6))
+axes[1].legend()
+# Plot Zoombox and Arrow:
+zoom = (59, 340, 10, 55)
+rect = Rectangle((zoom[0], zoom[1]), zoom[2], zoom[3], fc='w', ec='k')
+axes[1].add_patch(rect)
+axes[1].arrow(zoom[0]+zoom[2]/2, zoom[1], 0, -193, length_includes_head=True,
+ head_width=2, head_length=20, fc='k', ec='k')
+# Plot zoom inset:
+ins_axis_v = plt.axes([0.695, 0.15, 0.075, 0.3])
+ins_axis_v.plot(x_v[0], y_v[0], '-k', linewidth=1.5, label='analytic')
+ins_axis_v.plot(x_v[1], y_v[1], '-r', linewidth=1.5, label='0.5 nm')
+ins_axis_v.plot(x_v[2], y_v[2], '-m', linewidth=1.5, label='1 nm')
+ins_axis_v.plot(x_v[3], y_v[3], '-y', linewidth=1.5, label='2 nm')
+ins_axis_v.plot(x_v[4], y_v[4], '-g', linewidth=1.5, label='4 nm')
+ins_axis_v.plot(x_v[5], y_v[5], '-c', linewidth=1.5, label='8 nm')
+ins_axis_v.tick_params(axis='both', which='major', labelsize=14)
+ins_axis_v.set_xlim(zoom[0], zoom[0]+zoom[2])
+ins_axis_v.set_ylim(zoom[1], zoom[1]+zoom[3])
+ins_axis_v.xaxis.set_major_locator(MaxNLocator(nbins=4, integer=True))
+ins_axis_v.yaxis.set_major_locator(MaxNLocator(nbins=4))
+
+plt.show()
+#plt.figtext(0.15, 0.13, 'a)', fontsize=30)
+#plt.figtext(0.57, 0.13, 'b)', fontsize=30)
+plt.savefig(directory + '/ch5-1-phase_slice_comparison.png', bbox_inches='tight')
+
+# Create figure:
+fig, axes = plt.subplots(1, 2, figsize=(16, 7))
+fig.suptitle('Central phase slice errors', fontsize=20)
+
+print '--PLOT/SAVE PHASE SLICE ERRORS HOMOG. MAGN. DISC'
+# Plot phase slices:
+axes[0].plot(x_d[0], dy_d[0], '-k', linewidth=1.5, label='analytic')
+axes[0].plot(x_d[1], dy_d[1], '-r', linewidth=1.5, label='0.5 nm')
+axes[0].plot(x_d[2], dy_d[2], '-m', linewidth=1.5, label='1 nm')
+axes[0].plot(x_d[3], dy_d[3], '-y', linewidth=1.5, label='2 nm')
+axes[0].plot(x_d[4], dy_d[4], '-g', linewidth=1.5, label='4 nm')
+axes[0].plot(x_d[5], dy_d[5], '-c', linewidth=1.5, label='8 nm')
+axes[0].tick_params(axis='both', which='major', labelsize=14)
+axes[0].set_title('Homog. magn. disc', fontsize=18)
+axes[0].set_xlabel('x [nm]', fontsize=15)
+axes[0].set_ylabel('phase [mrad]', fontsize=15)
+axes[0].set_xlim(0, 128)
+
+print '--PLOT/SAVE PHASE SLICE ERRORS VORTEX STATE DISC'
+# Plot phase slices:
+axes[1].plot(x_v[0], dy_v[0], '-k', linewidth=1.5, label='analytic')
+axes[1].plot(x_v[1], dy_v[1], '-r', linewidth=1.5, label='0.5 nm')
+axes[1].plot(x_v[2], dy_v[2], '-m', linewidth=1.5, label='1 nm')
+axes[1].plot(x_v[3], dy_v[3], '-y', linewidth=1.5, label='2 nm')
+axes[1].plot(x_v[4], dy_v[4], '-g', linewidth=1.5, label='4 nm')
+axes[1].plot(x_v[5], dy_v[5], '-c', linewidth=1.5, label='8 nm')
+axes[1].tick_params(axis='both', which='major', labelsize=14)
+axes[1].set_title('Vortex state disc', fontsize=18)
+axes[1].set_xlabel('x [nm]', fontsize=15)
+axes[1].set_ylabel('phase [mrad]', fontsize=15)
+axes[1].set_xlim(0, 128)
+axes[1].legend(loc=4)
+
+plt.show()
+#plt.figtext(0.15, 0.13, 'a)', fontsize=30)
+#plt.figtext(0.57, 0.13, 'b)', fontsize=30)
+plt.savefig(directory + '/ch5-1-phase_slice_errors.png', bbox_inches='tight')
+
+###############################################################################################
+print 'CH5-1 PHASE DIFFERENCES REAL SPACE'
+
+# Input parameters:
+a = 1.0 # in nm
+phi = pi/2
+dim = (16, 128, 128) # in px (z, y, x)
+center = (dim[0]/2-0.5, dim[1]/2.-0.5, dim[2]/2.-0.5) # in px (z, y, x) index starts with 0!
+radius = dim[1]/4 # in px
+height = dim[0]/2 # in px
+
+key = 'ch5-1-phase_diff_mag_dist'
+if key in data_shelve and not force_calculation:
+ print '--LOAD MAGNETIC DISTRIBUTIONS'
+ (mag_data_disc, mag_data_vort) = data_shelve[key]
+else:
+ print '--CREATE MAGNETIC DISTRIBUTIONS'
+ # Create magnetic shape (4 times the size):
+ a_big = a / 2
+ dim_big = (dim[0]*2, dim[1]*2, dim[2]*2)
+ center_big = (dim_big[0]/2-0.5, dim_big[1]/2.-0.5, dim_big[2]/2.-0.5)
+ radius_big = dim_big[1]/4 # in px
+ height_big = dim_big[0]/2 # in px
+ mag_shape = mc.Shapes.disc(dim_big, center_big, radius_big, height_big)
+ # Create MagData (4 times the size):
+ mag_data_disc = MagData(a_big, mc.create_mag_dist_homog(mag_shape, phi))
+ mag_data_vort = MagData(a_big, mc.create_mag_dist_vortex(mag_shape, center_big))
+ # Scale mag_data, grid spacing and dimensions:
+ mag_data_disc.scale_down()
+ mag_data_vort.scale_down()
+ print '--SAVE MAGNETIC DISTRIBUTIONS'
+ # Shelve magnetic distributions:
+ data_shelve[key] = (mag_data_disc, mag_data_vort)
+
+print '--CALCULATE PHASE DIFFERENCES'
+# Create projector along z-axis and phasemapper:
+projector = SimpleProjector(dim)
+phasemapper = PMConvolve(a, projector)
+# Get analytic solutions:
+phase_map_ana_disc = an.phase_mag_disc(dim, a, phi, center, radius, height)
+phase_map_ana_vort = an.phase_mag_vortex(dim, a, center, radius, height)
+# Create norm for the plots:
+bounds = np.array([-3, -0.5, -0.25, -0.1, 0, 0.1, 0.25, 0.5, 3])
+norm = BoundaryNorm(bounds, RdBu.N)
+# Calculations (Disc):
+phase_map_num_disc = phasemapper(mag_data_disc)
+phase_map_num_disc.unit = 'mrad'
+phase_diff_disc = phase_map_num_disc - phase_map_ana_disc
+RMS_disc = np.sqrt(np.mean(phase_diff_disc.phase**2))
+# Calculations (Vortex):
+phase_map_num_vort = phasemapper(mag_data_vort)
+phase_map_num_vort.unit = 'mrad'
+phase_diff_vort = phase_map_num_vort - phase_map_ana_vort
+RMS_vort = np.sqrt(np.mean(phase_diff_vort.phase**2))
+
+print '--PLOT/SAVE PHASE DIFFERENCES'
+fig, axes = plt.subplots(1, 2, figsize=(16, 7))
+fig.suptitle('Difference of the real space approach from the analytical solution', fontsize=20)
+# Plot MagData (Disc):
+phase_diff_disc.display_phase(u'Homog. magn. disc, RMS = {:3.2f} µrad'.format(RMS_disc*1000),
+ limit=np.max(bounds), norm=norm, axis=axes[0])
+axes[0].set_aspect('equal')
+# Plot MagData (Disc):
+phase_diff_vort.display_phase(u'Vortex state disc, RMS = {:3.2f} µrad'.format(RMS_vort*1000),
+ limit=np.max(bounds), norm=norm, axis=axes[1])
+axes[1].set_aspect('equal')
+# Save Plots:
+plt.figtext(0.15, 0.2, 'a)', fontsize=30)
+plt.figtext(0.52, 0.2, 'b)', fontsize=30)
+plt.savefig(directory + '/ch5-1-phase_differences.png', bbox_inches='tight')
+
+###############################################################################################
+print 'CLOSING SHELVE\n'
+# Close shelve:
+data_shelve.close()
diff --git a/scripts/paper 1/ch5-2-evaluation_fourier_space.py b/scripts/paper 1/ch5-2-evaluation_fourier_space.py
index 4a1ef45..53838f2 100644
--- a/scripts/paper 1/ch5-2-evaluation_fourier_space.py
+++ b/scripts/paper 1/ch5-2-evaluation_fourier_space.py
@@ -7,9 +7,6 @@ Created on Fri Jul 26 14:37:30 2013
import time
-import pdb
-import traceback
-import sys
import os
import numpy as np
@@ -18,12 +15,10 @@ from numpy import pi
import shelve
import pyramid.magcreator as mc
-import pyramid.projector as pj
-import pyramid.phasemapper as pm
import pyramid.analytic as an
-import pyramid.holoimage as hi
from pyramid.magdata import MagData
-from pyramid.phasemap import PhaseMap
+from pyramid.projector import SimpleProjector
+from pyramid.phasemapper import PMFourier
import matplotlib.pyplot as plt
from matplotlib.colors import BoundaryNorm
@@ -31,157 +26,151 @@ from matplotlib.ticker import MaxNLocator
from matplotlib.cm import RdBu
+force_calculation = False
PHI_0 = -2067.83 # magnetic flux in T*nm²
-def run():
-
- print '\nACCESS SHELVE'
- # Create / Open databank:
- directory = '../../output/paper 1'
- if not os.path.exists(directory):
- os.makedirs(directory)
- data_shelve = shelve.open(directory + '/paper_1_shelve')
-
- ###############################################################################################
- print 'CH5-1 PHASE SLICES FOURIER SPACE'
-
- # Input parameters:
- a = 0.25 # in nm
- phi = pi/2
- density = 100
- dim = (64, 512, 512) # in px (z, y, x)
- # Create magnetic shape:
- center = (dim[0]/2-0.5, dim[1]/2.-0.5, dim[2]/2.-0.5) # in px (z, y, x) index starts with 0!
- radius = dim[1]/4 # in px
- height = dim[0]/2 # in px
-
- key = 'ch5-2-phase_slices_fourier'
- if key in data_shelve:
- print '--LOAD MAGNETIC DISTRIBUTION'
- (x_d, y_d0, y_d10, dy_d0, dy_d10, x_v, y_v0, y_v10, dy_v0, dy_v10) = data_shelve[key]
- else:
- print '--CREATE MAGNETIC DISTRIBUTION'
- mag_shape = mc.Shapes.disc(dim, center, radius, height)
-
- print '--CREATE PHASE SLICES HOMOG. MAGN. DISC'
- # Arrays for plotting:
- x_d = []
- y_d0 = []
- y_d10 = []
- dy_d0 = []
- dy_d10 = []
- # Analytic solution:
- L = dim[1] * a # in px/nm
- Lz = 0.5 * dim[0] * a # in px/nm
- R = 0.25 * L # in px/nm
- x0 = L / 2 # in px/nm
-
- def F_disc(x):
- coeff = - pi * Lz / (2*PHI_0) * 1E3 # in mrad -> *1000
- result = coeff * (- (x - x0) * np.sin(phi))
- result *= np.where(np.abs(x - x0) <= R, 1, (R / (x - x0)) ** 2)
- return result
-
- x_d.append(np.linspace(0, L, 5000))
- y_d0.append(F_disc(x_d[0]))
- y_d10.append(F_disc(x_d[0]))
- dy_d0.append(np.zeros_like(x_d[0]))
- dy_d10.append(np.zeros_like(x_d[0]))
- # Create MagData (Disc):
- mag_data_disc = MagData(a, mc.create_mag_dist_homog(mag_shape, phi))
- for i in range(5):
- mag_data_disc.scale_down()
- print '----a =', mag_data_disc.a, 'nm', 'dim =', mag_data_disc.dim
- projection = pj.simple_axis_projection(mag_data_disc)
- phase_map0 = PhaseMap(mag_data_disc.a,
- pm.phase_mag_fourier(mag_data_disc.a, projection,
- padding=0), 'mrad')
- phase_map10 = PhaseMap(mag_data_disc.a,
- pm.phase_mag_fourier(mag_data_disc.a, projection,
- padding=10), 'mrad')
- hi.display_combined(phase_map0, density,
- 'Disc, a = {} nm'.format(mag_data_disc.a))
- hi.display_combined(phase_map10, density,
- 'Disc, a = {} nm'.format(mag_data_disc.a))
- x_d.append(np.linspace(mag_data_disc.a * 0.5,
- mag_data_disc.a * (mag_data_disc.dim[1]-0.5),
- mag_data_disc.dim[1]))
- slice_pos = int(mag_data_disc.dim[1]/2)
- y_d0.append(phase_map0.phase[slice_pos, :]*1E3) # *1E3: rad to mrad
- y_d10.append(phase_map10.phase[slice_pos, :]*1E3) # *1E3: rad to mrad
- dy_d0.append(phase_map0.phase[slice_pos, :]*1E3 - F_disc(x_d[-1])) # *1E3: in mrad
- dy_d10.append(phase_map10.phase[slice_pos, :]*1E3 - F_disc(x_d[-1])) # *1E3: in mrad
-
- print '--CREATE PHASE SLICES VORTEX STATE DISC'
- x_v = []
- y_v0 = []
- y_v10 = []
- dy_v0 = []
- dy_v10 = []
- # Analytic solution:
- L = dim[1] * a # in px/nm
- Lz = 0.5 * dim[0] * a # in px/nm
- R = 0.25 * L # in px/nm
- x0 = L / 2 # in px/nm
-
- def F_vort(x):
- coeff = pi*Lz/PHI_0 * 1E3 # in mrad -> *1000
- result = coeff * np.where(np.abs(x - x0) <= R, (np.abs(x-x0)-R), 0)
- return result
-
- x_v.append(np.linspace(0, L, 5000))
- y_v0.append(F_vort(x_v[0]))
- y_v10.append(F_vort(x_v[0]))
- dy_v0.append(np.zeros_like(x_v[0]))
- dy_v10.append(np.zeros_like(x_v[0]))
- # Create MagData (Vortex):
- mag_data_vort = MagData(a, mc.create_mag_dist_vortex(mag_shape))
- for i in range(5):
- mag_data_vort.scale_down()
- print '----a =', mag_data_vort.a, 'nm', 'dim =', mag_data_vort.dim
- projection = pj.simple_axis_projection(mag_data_vort)
- phase_map0 = PhaseMap(mag_data_vort.a,
- pm.phase_mag_fourier(mag_data_vort.a, projection,
- padding=0), 'mrad')
- phase_map10 = PhaseMap(mag_data_vort.a,
- pm.phase_mag_fourier(mag_data_vort.a, projection,
- padding=10), 'mrad')
- hi.display_combined(phase_map0, density,
- 'Disc, a = {} nm'.format(mag_data_vort.a))
- hi.display_combined(phase_map10, density,
- 'Disc, a = {} nm'.format(mag_data_vort.a))
- x_v.append(np.linspace(mag_data_vort.a * 0.5,
- mag_data_vort.a * (mag_data_vort.dim[1]-0.5),
- mag_data_vort.dim[1]))
- slice_pos = int(mag_data_vort.dim[1]/2)
- y_v0.append(phase_map0.phase[slice_pos, :]*1E3) # *1E3: rad to mrad
- y_v10.append(phase_map10.phase[slice_pos, :]*1E3) # *1E3: rad to mrad
- dy_v0.append(phase_map0.phase[slice_pos, :]*1E3 - F_vort(x_v[-1])) # *1E3: in mrad
- dy_v10.append(phase_map10.phase[slice_pos, :]*1E3 - F_vort(x_v[-1])) # *1E3: in mrad
-
- # Shelve x, y and dy:
- print '--SAVE PHASE SLICES'
- data_shelve[key] = (x_d, y_d0, y_d10, dy_d0, dy_d10, x_v, y_v0, y_v10, dy_v0, dy_v10)
-
- # Create figure:
- fig, axes = plt.subplots(1, 2, figsize=(16, 7))
- fig.suptitle('Central phase slices (padding = 0)', fontsize=20)
-
- print '--PLOT/SAVE PHASE SLICES HOMOG. MAGN. DISC PADDING = 0'
- # Plot phase slices:
- axes[0].plot(x_d[0], y_d0[0], '-k', linewidth=1.5, label='analytic')
- axes[0].plot(x_d[1], y_d0[1], '-r', linewidth=1.5, label='0.5 nm')
- axes[0].plot(x_d[2], y_d0[2], '-m', linewidth=1.5, label='1 nm')
- axes[0].plot(x_d[3], y_d0[3], '-y', linewidth=1.5, label='2 nm')
- axes[0].plot(x_d[4], y_d0[4], '-g', linewidth=1.5, label='4 nm')
- axes[0].plot(x_d[5], y_d0[5], '-c', linewidth=1.5, label='8 nm')
- axes[0].tick_params(axis='both', which='major', labelsize=14)
- axes[0].set_title('Homog. magn. disc', fontsize=18)
- axes[0].set_xlabel('x [nm]', fontsize=15)
- axes[0].set_ylabel('phase [mrad]', fontsize=15)
- axes[0].set_xlim(0, 128)
- axes[0].set_ylim(-220, 220)
+print '\nACCESS SHELVE'
+# Create / Open databank:
+directory = '../../output/paper 1'
+if not os.path.exists(directory):
+ os.makedirs(directory)
+data_shelve = shelve.open(directory + '/paper_1_shelve')
+
+###############################################################################################
+print 'CH5-1 PHASE SLICES FOURIER SPACE'
+
+# Input parameters:
+a = 0.5 # in nm
+phi = pi/2
+density = 100
+dim = (32, 256, 256) # in px (z, y, x)
+# Create magnetic shape:
+center = (dim[0]/2-0.5, dim[1]/2.-0.5, dim[2]/2.-0.5) # in px (z, y, x) index starts with 0!
+radius = dim[1]/4 # in px
+height = dim[0]/2 # in px
+
+key = 'ch5-2-phase_slices_fourier'
+if key in data_shelve and not force_calculation:
+ print '--LOAD MAGNETIC DISTRIBUTION'
+ (x_d, y_d0, y_d10, dy_d0, dy_d10, x_v, y_v0, y_v10, dy_v0, dy_v10) = data_shelve[key]
+else:
+ print '--CREATE MAGNETIC DISTRIBUTION'
+ mag_shape = mc.Shapes.disc(dim, center, radius, height)
+
+ print '--CREATE PHASE SLICES HOMOG. MAGN. DISC'
+ # Arrays for plotting:
+ x_d = []
+ y_d0 = []
+ y_d10 = []
+ dy_d0 = []
+ dy_d10 = []
+ # Analytic solution:
+ L = dim[1] * a # in px/nm
+ Lz = 0.5 * dim[0] * a # in px/nm
+ R = 0.25 * L # in px/nm
+ x0 = L / 2 # in px/nm
+
+ def F_disc(x):
+ coeff = - pi * Lz / (2*PHI_0) * 1E3 # in mrad -> *1000
+ result = coeff * (- (x - x0) * np.sin(phi))
+ result *= np.where(np.abs(x - x0) <= R, 1, (R / (x - x0)) ** 2)
+ return result
+
+ x_d.append(np.linspace(0, L, 5000))
+ y_d0.append(F_disc(x_d[0]))
+ y_d10.append(F_disc(x_d[0]))
+ dy_d0.append(np.zeros_like(x_d[0]))
+ dy_d10.append(np.zeros_like(x_d[0]))
+ # Create MagData (Disc):
+ mag_data_disc = MagData(a, mc.create_mag_dist_homog(mag_shape, phi))
+ for i in range(5):
+ print '----a =', mag_data_disc.a, 'nm', 'dim =', mag_data_disc.dim
+ projector = SimpleProjector(mag_data_disc.dim)
+ phase_map0 = PMFourier(mag_data_disc.a, projector, padding=0)(mag_data_disc)
+ phase_map10 = PMFourier(mag_data_disc.a, projector, padding=10)(mag_data_disc)
+ phase_map0.unit = 'mrad'
+ phase_map10.unit = 'mrad'
+ phase_map0.display_combined(density, 'Disc, a = {} nm'.format(mag_data_disc.a))
+ phase_map10.display_combined(density, 'Disc, a = {} nm'.format(mag_data_disc.a))
+ x_d.append(np.linspace(mag_data_disc.a * 0.5,
+ mag_data_disc.a * (mag_data_disc.dim[1]-0.5),
+ mag_data_disc.dim[1]))
+ slice_pos = int(mag_data_disc.dim[1]/2)
+ y_d0.append(phase_map0.phase[slice_pos, :]*1E3) # *1E3: rad to mrad
+ y_d10.append(phase_map10.phase[slice_pos, :]*1E3) # *1E3: rad to mrad
+ dy_d0.append(phase_map0.phase[slice_pos, :]*1E3 - F_disc(x_d[-1])) # *1E3: in mrad
+ dy_d10.append(phase_map10.phase[slice_pos, :]*1E3 - F_disc(x_d[-1])) # *1E3: in mrad
+ if i < 4: mag_data_disc.scale_down()
+
+ print '--CREATE PHASE SLICES VORTEX STATE DISC'
+ x_v = []
+ y_v0 = []
+ y_v10 = []
+ dy_v0 = []
+ dy_v10 = []
+ # Analytic solution:
+ L = dim[1] * a # in px/nm
+ Lz = 0.5 * dim[0] * a # in px/nm
+ R = 0.25 * L # in px/nm
+ x0 = L / 2 # in px/nm
+
+ def F_vort(x):
+ coeff = pi*Lz/PHI_0 * 1E3 # in mrad -> *1000
+ result = coeff * np.where(np.abs(x - x0) <= R, (np.abs(x-x0)-R), 0)
+ return result
+
+ x_v.append(np.linspace(0, L, 5000))
+ y_v0.append(F_vort(x_v[0]))
+ y_v10.append(F_vort(x_v[0]))
+ dy_v0.append(np.zeros_like(x_v[0]))
+ dy_v10.append(np.zeros_like(x_v[0]))
+ # Create MagData (Vortex):
+ mag_data_vort = MagData(a, mc.create_mag_dist_vortex(mag_shape))
+ for i in range(5):
+ print '----a =', mag_data_vort.a, 'nm', 'dim =', mag_data_vort.dim
+ projector = SimpleProjector(mag_data_vort.dim)
+ phase_map0 = PMFourier(mag_data_vort.a, projector, padding=0)(mag_data_vort)
+ phase_map10 = PMFourier(mag_data_vort.a, projector, padding=10)(mag_data_vort)
+ phase_map0.unit = 'mrad'
+ phase_map10.unit = 'mrad'
+ print np.mean(phase_map0.phase)
+ phase_map0 -= phase_map0.phase[0, 0]
+ phase_map10 -= phase_map10.phase[0, 0]
+ phase_map0.display_combined(density, 'Vortex, a = {} nm'.format(mag_data_vort.a))
+ phase_map10.display_combined(density, 'Vortex, a = {} nm'.format(mag_data_vort.a))
+ x_v.append(np.linspace(mag_data_vort.a * 0.5,
+ mag_data_vort.a * (mag_data_vort.dim[1]-0.5),
+ mag_data_vort.dim[1]))
+ slice_pos = int(mag_data_vort.dim[1]/2)
+ y_v0.append(phase_map0.phase[slice_pos, :]*1E3) # *1E3: rad to mrad
+ y_v10.append(phase_map10.phase[slice_pos, :]*1E3) # *1E3: rad to mrad
+ dy_v0.append(phase_map0.phase[slice_pos, :]*1E3 - F_vort(x_v[-1])) # *1E3: in mrad
+ dy_v10.append(phase_map10.phase[slice_pos, :]*1E3 - F_vort(x_v[-1])) # *1E3: in mrad
+ if i < 4: mag_data_vort.scale_down()
+
+ # Shelve x, y and dy:
+ print '--SAVE PHASE SLICES'
+ data_shelve[key] = (x_d, y_d0, y_d10, dy_d0, dy_d10, x_v, y_v0, y_v10, dy_v0, dy_v10)
+
+# Create figure:
+fig, axes = plt.subplots(1, 2, figsize=(16, 7))
+fig.suptitle('Central phase slices (padding = 0)', fontsize=20)
+
+print '--PLOT/SAVE PHASE SLICES HOMOG. MAGN. DISC PADDING = 0'
+# Plot phase slices:
+axes[0].plot(x_d[0], y_d0[0], '-k', linewidth=1.5, label='analytic')
+axes[0].plot(x_d[1], y_d0[1], '-r', linewidth=1.5, label='0.5 nm')
+axes[0].plot(x_d[2], y_d0[2], '-m', linewidth=1.5, label='1 nm')
+axes[0].plot(x_d[3], y_d0[3], '-y', linewidth=1.5, label='2 nm')
+axes[0].plot(x_d[4], y_d0[4], '-g', linewidth=1.5, label='4 nm')
+axes[0].plot(x_d[5], y_d0[5], '-c', linewidth=1.5, label='8 nm')
+axes[0].tick_params(axis='both', which='major', labelsize=14)
+axes[0].set_title('Homog. magn. disc', fontsize=18)
+axes[0].set_xlabel('x [nm]', fontsize=15)
+axes[0].set_ylabel('phase [mrad]', fontsize=15)
+axes[0].set_xlim(0, 128)
+axes[0].set_ylim(-220, 220)
# # Plot Zoombox and Arrow:
# zoom = (23.5, 160, 15, 40)
# rect = Rectangle((zoom[0], zoom[1]), zoom[2], zoom[3], fc='w', ec='k')
@@ -202,21 +191,21 @@ def run():
# ins_axis_d.xaxis.set_major_locator(MaxNLocator(nbins=4, integer= True))
# ins_axis_d.yaxis.set_major_locator(MaxNLocator(nbins=3))
- print '--PLOT/SAVE PHASE SLICES VORTEX STATE DISC PADDING = 0'
- # Plot phase slices:
- axes[1].plot(x_v[0], y_v0[0], '-k', linewidth=1.5, label='analytic')
- axes[1].plot(x_v[1], y_v0[1], '-r', linewidth=1.5, label='0.5 nm')
- axes[1].plot(x_v[2], y_v0[2], '-m', linewidth=1.5, label='1 nm')
- axes[1].plot(x_v[3], y_v0[3], '-y', linewidth=1.5, label='2 nm')
- axes[1].plot(x_v[4], y_v0[4], '-g', linewidth=1.5, label='4 nm')
- axes[1].plot(x_v[5], y_v0[5], '-c', linewidth=1.5, label='8 nm')
- axes[1].tick_params(axis='both', which='major', labelsize=14)
- axes[1].set_title('Vortex state disc', fontsize=18)
- axes[1].set_xlabel('x [nm]', fontsize=15)
- axes[1].set_ylabel('phase [mrad]', fontsize=15)
- axes[1].set_xlim(0, 128)
- axes[1].yaxis.set_major_locator(MaxNLocator(nbins=6))
- axes[1].legend()
+print '--PLOT/SAVE PHASE SLICES VORTEX STATE DISC PADDING = 0'
+# Plot phase slices:
+axes[1].plot(x_v[0], y_v0[0], '-k', linewidth=1.5, label='analytic')
+axes[1].plot(x_v[1], y_v0[1], '-r', linewidth=1.5, label='0.5 nm')
+axes[1].plot(x_v[2], y_v0[2], '-m', linewidth=1.5, label='1 nm')
+axes[1].plot(x_v[3], y_v0[3], '-y', linewidth=1.5, label='2 nm')
+axes[1].plot(x_v[4], y_v0[4], '-g', linewidth=1.5, label='4 nm')
+axes[1].plot(x_v[5], y_v0[5], '-c', linewidth=1.5, label='8 nm')
+axes[1].tick_params(axis='both', which='major', labelsize=14)
+axes[1].set_title('Vortex state disc', fontsize=18)
+axes[1].set_xlabel('x [nm]', fontsize=15)
+axes[1].set_ylabel('phase [mrad]', fontsize=15)
+axes[1].set_xlim(0, 128)
+axes[1].yaxis.set_major_locator(MaxNLocator(nbins=6))
+axes[1].legend()
# # Plot Zoombox and Arrow:
# zoom = (59, 340, 10, 55)
# rect = Rectangle((zoom[0], zoom[1]), zoom[2], zoom[3], fc='w', ec='k')
@@ -237,29 +226,29 @@ def run():
# ins_axis_v.xaxis.set_major_locator(MaxNLocator(nbins=4, integer= True))
# ins_axis_v.yaxis.set_major_locator(MaxNLocator(nbins=4))
- plt.show()
- plt.figtext(0.15, 0.13, 'a)', fontsize=30)
- plt.figtext(0.57, 0.13, 'b)', fontsize=30)
- plt.savefig(directory + '/ch5-1-phase_slice_padding_0.png', bbox_inches='tight')
-
- # Create figure:
- fig, axes = plt.subplots(1, 2, figsize=(16, 7))
- fig.suptitle('Central phase slices (padding = 10)', fontsize=20)
-
- print '--PLOT/SAVE PHASE SLICES HOMOG. MAGN. DISC PADDING = 10'
- # Plot phase slices:
- axes[0].plot(x_d[0], y_d10[0], '-k', linewidth=1.5, label='analytic')
- axes[0].plot(x_d[1], y_d10[1], '-r', linewidth=1.5, label='0.5 nm')
- axes[0].plot(x_d[2], y_d10[2], '-m', linewidth=1.5, label='1 nm')
- axes[0].plot(x_d[3], y_d10[3], '-y', linewidth=1.5, label='2 nm')
- axes[0].plot(x_d[4], y_d10[4], '-g', linewidth=1.5, label='4 nm')
- axes[0].plot(x_d[5], y_d10[5], '-c', linewidth=1.5, label='8 nm')
- axes[0].tick_params(axis='both', which='major', labelsize=14)
- axes[0].set_title('Homog. magn. disc', fontsize=18)
- axes[0].set_xlabel('x [nm]', fontsize=15)
- axes[0].set_ylabel('phase [mrad]', fontsize=15)
- axes[0].set_xlim(0, 128)
- axes[0].set_ylim(-220, 220)
+plt.show()
+plt.figtext(0.15, 0.13, 'a)', fontsize=30)
+plt.figtext(0.57, 0.13, 'b)', fontsize=30)
+plt.savefig(directory + '/ch5-1-phase_slice_padding_0.png', bbox_inches='tight')
+
+# Create figure:
+fig, axes = plt.subplots(1, 2, figsize=(16, 7))
+fig.suptitle('Central phase slices (padding = 10)', fontsize=20)
+
+print '--PLOT/SAVE PHASE SLICES HOMOG. MAGN. DISC PADDING = 10'
+# Plot phase slices:
+axes[0].plot(x_d[0], y_d10[0], '-k', linewidth=1.5, label='analytic')
+axes[0].plot(x_d[1], y_d10[1], '-r', linewidth=1.5, label='0.5 nm')
+axes[0].plot(x_d[2], y_d10[2], '-m', linewidth=1.5, label='1 nm')
+axes[0].plot(x_d[3], y_d10[3], '-y', linewidth=1.5, label='2 nm')
+axes[0].plot(x_d[4], y_d10[4], '-g', linewidth=1.5, label='4 nm')
+axes[0].plot(x_d[5], y_d10[5], '-c', linewidth=1.5, label='8 nm')
+axes[0].tick_params(axis='both', which='major', labelsize=14)
+axes[0].set_title('Homog. magn. disc', fontsize=18)
+axes[0].set_xlabel('x [nm]', fontsize=15)
+axes[0].set_ylabel('phase [mrad]', fontsize=15)
+axes[0].set_xlim(0, 128)
+axes[0].set_ylim(-220, 220)
# # Plot Zoombox and Arrow:
# zoom = (23.5, 160, 15, 40)
# rect = Rectangle((zoom[0], zoom[1]), zoom[2], zoom[3], fc='w', ec='k')
@@ -280,21 +269,21 @@ def run():
# ins_axis_d.xaxis.set_major_locator(MaxNLocator(nbins=4, integer= True))
# ins_axis_d.yaxis.set_major_locator(MaxNLocator(nbins=3))
- print '--PLOT/SAVE PHASE SLICES VORTEX STATE DISC PADDING = 10'
- # Plot phase slices:
- axes[1].plot(x_v[0], y_v10[0], '-k', linewidth=1.5, label='analytic')
- axes[1].plot(x_v[1], y_v10[1], '-r', linewidth=1.5, label='0.5 nm')
- axes[1].plot(x_v[2], y_v10[2], '-m', linewidth=1.5, label='1 nm')
- axes[1].plot(x_v[3], y_v10[3], '-y', linewidth=1.5, label='2 nm')
- axes[1].plot(x_v[4], y_v10[4], '-g', linewidth=1.5, label='4 nm')
- axes[1].plot(x_v[5], y_v10[5], '-c', linewidth=1.5, label='8 nm')
- axes[1].tick_params(axis='both', which='major', labelsize=14)
- axes[1].set_title('Vortex state disc', fontsize=18)
- axes[1].set_xlabel('x [nm]', fontsize=15)
- axes[1].set_ylabel('phase [mrad]', fontsize=15)
- axes[1].set_xlim(0, 128)
- axes[1].yaxis.set_major_locator(MaxNLocator(nbins=6))
- axes[1].legend()
+print '--PLOT/SAVE PHASE SLICES VORTEX STATE DISC PADDING = 10'
+# Plot phase slices:
+axes[1].plot(x_v[0], y_v10[0], '-k', linewidth=1.5, label='analytic')
+axes[1].plot(x_v[1], y_v10[1], '-r', linewidth=1.5, label='0.5 nm')
+axes[1].plot(x_v[2], y_v10[2], '-m', linewidth=1.5, label='1 nm')
+axes[1].plot(x_v[3], y_v10[3], '-y', linewidth=1.5, label='2 nm')
+axes[1].plot(x_v[4], y_v10[4], '-g', linewidth=1.5, label='4 nm')
+axes[1].plot(x_v[5], y_v10[5], '-c', linewidth=1.5, label='8 nm')
+axes[1].tick_params(axis='both', which='major', labelsize=14)
+axes[1].set_title('Vortex state disc', fontsize=18)
+axes[1].set_xlabel('x [nm]', fontsize=15)
+axes[1].set_ylabel('phase [mrad]', fontsize=15)
+axes[1].set_xlim(0, 128)
+axes[1].yaxis.set_major_locator(MaxNLocator(nbins=6))
+axes[1].legend()
# # Plot Zoombox and Arrow:
# zoom = (59, 340, 10, 55)
# rect = Rectangle((zoom[0], zoom[1]), zoom[2], zoom[3], fc='w', ec='k')
@@ -315,349 +304,357 @@ def run():
# ins_axis_v.xaxis.set_major_locator(MaxNLocator(nbins=4, integer= True))
# ins_axis_v.yaxis.set_major_locator(MaxNLocator(nbins=4))
- plt.show()
- plt.figtext(0.15, 0.13, 'c)', fontsize=30)
- plt.figtext(0.57, 0.13, 'd)', fontsize=30)
- plt.savefig(directory + '/ch5-1-phase_slice_padding_10.png', bbox_inches='tight')
-
- # Create figure:
- fig, axes = plt.subplots(1, 2, figsize=(16, 7))
- fig.suptitle('Central phase slice errors (padding = 0)', fontsize=20)
-
- print '--PLOT/SAVE PHASE SLICE ERRORS HOMOG. MAGN. DISC PADDING = 0'
- # Plot phase slices:
- axes[0].plot(x_d[0], dy_d0[0], '-k', linewidth=1.5, label='analytic')
- axes[0].plot(x_d[1], dy_d0[1], '-r', linewidth=1.5, label='0.5 nm')
- axes[0].plot(x_d[2], dy_d0[2], '-m', linewidth=1.5, label='1 nm')
- axes[0].plot(x_d[3], dy_d0[3], '-y', linewidth=1.5, label='2 nm')
- axes[0].plot(x_d[4], dy_d0[4], '-g', linewidth=1.5, label='4 nm')
- axes[0].plot(x_d[5], dy_d0[5], '-c', linewidth=1.5, label='8 nm')
- axes[0].tick_params(axis='both', which='major', labelsize=14)
- axes[0].set_title('Homog. magn. disc', fontsize=18)
- axes[0].set_xlabel('x [nm]', fontsize=15)
- axes[0].set_ylabel('phase [mrad]', fontsize=15)
- axes[0].set_xlim(0, 128)
-
- print '--PLOT/SAVE PHASE SLICE ERRORS VORTEX STATE DISC PADDING = 0'
- # Plot phase slices:
- axes[1].plot(x_v[0], dy_v0[0], '-k', linewidth=1.5, label='analytic')
- axes[1].plot(x_v[1], dy_v0[1], '-r', linewidth=1.5, label='0.5 nm')
- axes[1].plot(x_v[2], dy_v0[2], '-m', linewidth=1.5, label='1 nm')
- axes[1].plot(x_v[3], dy_v0[3], '-y', linewidth=1.5, label='2 nm')
- axes[1].plot(x_v[4], dy_v0[4], '-g', linewidth=1.5, label='4 nm')
- axes[1].plot(x_v[5], dy_v0[5], '-c', linewidth=1.5, label='8 nm')
- axes[1].tick_params(axis='both', which='major', labelsize=14)
- axes[1].set_title('Vortex state disc', fontsize=18)
- axes[1].set_xlabel('x [nm]', fontsize=15)
- axes[1].set_ylabel('phase [mrad]', fontsize=15)
- axes[1].set_xlim(0, 128)
- axes[1].legend(loc=4)
-
- plt.show()
- plt.figtext(0.15, 0.13, 'c)', fontsize=30)
- plt.figtext(0.57, 0.13, 'd)', fontsize=30)
- plt.savefig(directory + '/ch5-1-phase_slice_errors_padding_0.png', bbox_inches='tight')
-
- # Create figure:
- fig, axes = plt.subplots(1, 2, figsize=(16, 7))
- fig.suptitle('Central phase slice errors (padding = 10)', fontsize=20)
-
- print '--PLOT/SAVE PHASE SLICE ERRORS HOMOG. MAGN. DISC PADDING = 10'
- # Plot phase slices:
- axes[0].plot(x_d[0], dy_d10[0], '-k', linewidth=1.5, label='analytic')
- axes[0].plot(x_d[1], dy_d10[1], '-r', linewidth=1.5, label='0.5 nm')
- axes[0].plot(x_d[2], dy_d10[2], '-m', linewidth=1.5, label='1 nm')
- axes[0].plot(x_d[3], dy_d10[3], '-y', linewidth=1.5, label='2 nm')
- axes[0].plot(x_d[4], dy_d10[4], '-g', linewidth=1.5, label='4 nm')
- axes[0].plot(x_d[5], dy_d10[5], '-c', linewidth=1.5, label='8 nm')
- axes[0].tick_params(axis='both', which='major', labelsize=14)
- axes[0].set_title('Homog. magn. disc', fontsize=18)
- axes[0].set_xlabel('x [nm]', fontsize=15)
- axes[0].set_ylabel('phase [mrad]', fontsize=15)
- axes[0].set_xlim(0, 128)
-
- print '--PLOT/SAVE PHASE SLICE ERRORS VORTEX STATE DISC PADDING = 10'
- # Plot phase slices:
- axes[1].plot(x_v[0], dy_v10[0], '-k', linewidth=1.5, label='analytic')
- axes[1].plot(x_v[1], dy_v10[1], '-r', linewidth=1.5, label='0.5 nm')
- axes[1].plot(x_v[2], dy_v10[2], '-m', linewidth=1.5, label='1 nm')
- axes[1].plot(x_v[3], dy_v10[3], '-y', linewidth=1.5, label='2 nm')
- axes[1].plot(x_v[4], dy_v10[4], '-g', linewidth=1.5, label='4 nm')
- axes[1].plot(x_v[5], dy_v10[5], '-c', linewidth=1.5, label='8 nm')
- axes[1].tick_params(axis='both', which='major', labelsize=14)
- axes[1].set_title('Vortex state disc', fontsize=18)
- axes[1].set_xlabel('x [nm]', fontsize=15)
- axes[1].set_ylabel('phase [mrad]', fontsize=15)
- axes[1].set_xlim(0, 128)
- axes[1].legend(loc=4)
-
- plt.show()
- plt.figtext(0.15, 0.13, 'c)', fontsize=30)
- plt.figtext(0.57, 0.13, 'd)', fontsize=30)
- plt.savefig(directory + '/ch5-1-phase_slice_errors_padding_10.png', bbox_inches='tight')
-
- ###############################################################################################
- print 'CH5-2 PHASE DIFFERENCES FOURIER SPACE'
-
- # Input parameters:
- a = 1.0 # in nm
- phi = pi/2
- dim = (16, 128, 128) # in px (z, y, x)
- center = (dim[0]/2-0.5, dim[1]/2.-0.5, dim[2]/2.-0.5) # in px (z, y, x) index starts with 0!
- radius = dim[1]/4 # in px
- height = dim[0]/2 # in px
-
- key = 'ch5-1-phase_diff_mag_dist'
- if key in data_shelve:
- print '--LOAD MAGNETIC DISTRIBUTIONS'
- (mag_data_disc, mag_data_vort) = data_shelve[key]
+plt.show()
+plt.figtext(0.15, 0.13, 'c)', fontsize=30)
+plt.figtext(0.57, 0.13, 'd)', fontsize=30)
+plt.savefig(directory + '/ch5-1-phase_slice_padding_10.png', bbox_inches='tight')
+
+# Create figure:
+fig, axes = plt.subplots(1, 2, figsize=(16, 7))
+fig.suptitle('Central phase slice errors (padding = 0)', fontsize=20)
+
+print '--PLOT/SAVE PHASE SLICE ERRORS HOMOG. MAGN. DISC PADDING = 0'
+# Plot phase slices:
+axes[0].plot(x_d[0], dy_d0[0], '-k', linewidth=1.5, label='analytic')
+axes[0].plot(x_d[1], dy_d0[1], '-r', linewidth=1.5, label='0.5 nm')
+axes[0].plot(x_d[2], dy_d0[2], '-m', linewidth=1.5, label='1 nm')
+axes[0].plot(x_d[3], dy_d0[3], '-y', linewidth=1.5, label='2 nm')
+axes[0].plot(x_d[4], dy_d0[4], '-g', linewidth=1.5, label='4 nm')
+axes[0].plot(x_d[5], dy_d0[5], '-c', linewidth=1.5, label='8 nm')
+axes[0].tick_params(axis='both', which='major', labelsize=14)
+axes[0].set_title('Homog. magn. disc', fontsize=18)
+axes[0].set_xlabel('x [nm]', fontsize=15)
+axes[0].set_ylabel('phase [mrad]', fontsize=15)
+axes[0].set_xlim(0, 128)
+
+print '--PLOT/SAVE PHASE SLICE ERRORS VORTEX STATE DISC PADDING = 0'
+# Plot phase slices:
+axes[1].plot(x_v[0], dy_v0[0], '-k', linewidth=1.5, label='analytic')
+axes[1].plot(x_v[1], dy_v0[1], '-r', linewidth=1.5, label='0.5 nm')
+axes[1].plot(x_v[2], dy_v0[2], '-m', linewidth=1.5, label='1 nm')
+axes[1].plot(x_v[3], dy_v0[3], '-y', linewidth=1.5, label='2 nm')
+axes[1].plot(x_v[4], dy_v0[4], '-g', linewidth=1.5, label='4 nm')
+axes[1].plot(x_v[5], dy_v0[5], '-c', linewidth=1.5, label='8 nm')
+axes[1].tick_params(axis='both', which='major', labelsize=14)
+axes[1].set_title('Vortex state disc', fontsize=18)
+axes[1].set_xlabel('x [nm]', fontsize=15)
+axes[1].set_ylabel('phase [mrad]', fontsize=15)
+axes[1].set_xlim(0, 128)
+axes[1].legend(loc=4)
+
+plt.show()
+plt.figtext(0.15, 0.13, 'c)', fontsize=30)
+plt.figtext(0.57, 0.13, 'd)', fontsize=30)
+plt.savefig(directory + '/ch5-1-phase_slice_errors_padding_0.png', bbox_inches='tight')
+
+# Create figure:
+fig, axes = plt.subplots(1, 2, figsize=(16, 7))
+fig.suptitle('Central phase slice errors (padding = 10)', fontsize=20)
+
+print '--PLOT/SAVE PHASE SLICE ERRORS HOMOG. MAGN. DISC PADDING = 10'
+# Plot phase slices:
+axes[0].plot(x_d[0], dy_d10[0], '-k', linewidth=1.5, label='analytic')
+axes[0].plot(x_d[1], dy_d10[1], '-r', linewidth=1.5, label='0.5 nm')
+axes[0].plot(x_d[2], dy_d10[2], '-m', linewidth=1.5, label='1 nm')
+axes[0].plot(x_d[3], dy_d10[3], '-y', linewidth=1.5, label='2 nm')
+axes[0].plot(x_d[4], dy_d10[4], '-g', linewidth=1.5, label='4 nm')
+axes[0].plot(x_d[5], dy_d10[5], '-c', linewidth=1.5, label='8 nm')
+axes[0].tick_params(axis='both', which='major', labelsize=14)
+axes[0].set_title('Homog. magn. disc', fontsize=18)
+axes[0].set_xlabel('x [nm]', fontsize=15)
+axes[0].set_ylabel('phase [mrad]', fontsize=15)
+axes[0].set_xlim(0, 128)
+
+print '--PLOT/SAVE PHASE SLICE ERRORS VORTEX STATE DISC PADDING = 10'
+# Plot phase slices:
+axes[1].plot(x_v[0], dy_v10[0], '-k', linewidth=1.5, label='analytic')
+axes[1].plot(x_v[1], dy_v10[1], '-r', linewidth=1.5, label='0.5 nm')
+axes[1].plot(x_v[2], dy_v10[2], '-m', linewidth=1.5, label='1 nm')
+axes[1].plot(x_v[3], dy_v10[3], '-y', linewidth=1.5, label='2 nm')
+axes[1].plot(x_v[4], dy_v10[4], '-g', linewidth=1.5, label='4 nm')
+axes[1].plot(x_v[5], dy_v10[5], '-c', linewidth=1.5, label='8 nm')
+axes[1].tick_params(axis='both', which='major', labelsize=14)
+axes[1].set_title('Vortex state disc', fontsize=18)
+axes[1].set_xlabel('x [nm]', fontsize=15)
+axes[1].set_ylabel('phase [mrad]', fontsize=15)
+axes[1].set_xlim(0, 128)
+axes[1].legend(loc=4)
+
+plt.show()
+plt.figtext(0.15, 0.13, 'c)', fontsize=30)
+plt.figtext(0.57, 0.13, 'd)', fontsize=30)
+plt.savefig(directory + '/ch5-1-phase_slice_errors_padding_10.png', bbox_inches='tight')
+
+###############################################################################################
+print 'CH5-2 PHASE DIFFERENCES FOURIER SPACE'
+
+# Input parameters:
+a = 1.0 # in nm
+phi = pi/2
+dim = (16, 128, 128) # in px (z, y, x)
+center = (dim[0]/2-0.5, dim[1]/2.-0.5, dim[2]/2.-0.5) # in px (z, y, x) index starts with 0!
+radius = dim[1]/4 # in px
+height = dim[0]/2 # in px
+
+key = 'ch5-1-phase_diff_mag_dist'
+if key in data_shelve and not force_calculation:
+ print '--LOAD MAGNETIC DISTRIBUTIONS'
+ (mag_data_disc, mag_data_vort) = data_shelve[key]
+else:
+ print '--CREATE MAGNETIC DISTRIBUTIONS'
+ # Create magnetic shape (4 times the size):
+ a_big = a / 2
+ dim_big = (dim[0]*2, dim[1]*2, dim[2]*2)
+ center_big = (dim_big[0]/2-0.5, dim_big[1]/2.-0.5, dim_big[2]/2.-0.5)
+ radius_big = dim_big[1]/4 # in px
+ height_big = dim_big[0]/2 # in px
+ mag_shape = mc.Shapes.disc(dim_big, center_big, radius_big, height_big)
+ # Create MagData (4 times the size):
+ mag_data_disc = MagData(a_big, mc.create_mag_dist_homog(mag_shape, phi))
+ mag_data_vort = MagData(a_big, mc.create_mag_dist_vortex(mag_shape, center_big))
+ # Scale mag_data, grid spacing and dimensions:
+ mag_data_disc.scale_down()
+ mag_data_vort.scale_down()
+ print '--SAVE MAGNETIC DISTRIBUTIONS'
+ # Shelve magnetic distributions:
+ data_shelve[key] = (mag_data_disc, mag_data_vort)
+
+print '--PLOT/SAVE PHASE DIFFERENCES'
+# Create projections along z-axis:
+projector = SimpleProjector(dim)
+# Get analytic solutions:
+phase_map_ana_disc = an.phase_mag_disc(dim, a, phi, center, radius, height)
+phase_map_ana_vort = an.phase_mag_vortex(dim, a, center, radius, height)
+
+# Create phasemapper:
+phasemapper = PMFourier(a, projector, padding=0)
+# Create figure:
+fig, axes = plt.subplots(1, 2, figsize=(16, 7))
+fig.suptitle('Difference of the Fourier space approach from the analytical solution', fontsize=20)
+# Create norm for the plots:
+bounds = np.array([-100, -50, -25, -5, 0, 5, 25, 50, 100])
+norm = BoundaryNorm(bounds, RdBu.N)
+# Disc:
+phase_map_num_disc = phasemapper(mag_data_disc)
+phase_map_num_disc.unit = 'mrad'
+phase_diff_disc = phase_map_num_disc - phase_map_ana_disc
+RMS_disc = np.sqrt(np.mean(phase_diff_disc.phase**2))
+phase_diff_disc.display_phase('Homog. magn. disc, RMS = {:3.2f} mrad'.format(RMS_disc),
+ axis=axes[0], limit=np.max(bounds), norm=norm)
+axes[0].set_aspect('equal')
+
+# Create norm for the plots:
+bounds = np.array([-3, -0.5, -0.25, -0.1, 0, 0.1, 0.25, 0.5, 3])
+norm = BoundaryNorm(bounds, RdBu.N)
+# Vortex:
+phase_map_num_vort = phasemapper(mag_data_vort)
+phase_map_num_vort.unit = 'mrad'
+phase_diff_vort = phase_map_num_vort - phase_map_ana_vort
+phase_diff_vort -= np.mean(phase_diff_vort.phase)
+RMS_vort = np.sqrt(np.mean(phase_diff_vort.phase**2))
+phase_diff_vort.display_phase(u'Vortex state disc, RMS = {:3.2f} µrad'.format(RMS_vort*1000),
+ axis=axes[1], limit=np.max(bounds), norm=norm)
+axes[1].set_aspect('equal')
+
+plt.show()
+plt.figtext(0.15, 0.2, 'a)', fontsize=30)
+plt.figtext(0.52, 0.2, 'b)', fontsize=30)
+plt.savefig(directory + '/ch5-2-fourier_phase_differe_no_padding.png', bbox_inches='tight')
+
+# Create phasemapper:
+phasemapper = PMFourier(a, projector, padding=10)
+# Create figure:
+fig, axes = plt.subplots(1, 2, figsize=(16, 7))
+fig.suptitle('Difference of the Fourier space approach from the analytical solution', fontsize=20)
+# Create norm for the plots:
+bounds = np.array([-3, -0.5, -0.25, -0.1, 0, 0.1, 0.25, 0.5, 3])
+norm = BoundaryNorm(bounds, RdBu.N)
+# Disc:
+phase_map_num_disc = phasemapper(mag_data_disc)
+phase_map_num_disc.unit = 'mrad'
+phase_diff_disc = phase_map_num_disc - phase_map_ana_disc
+RMS_disc = np.sqrt(np.mean(phase_diff_disc.phase**2))
+phase_diff_disc.display_phase(u'Homog. magn. disc, RMS = {:3.2f} µrad'.format(RMS_disc*1000),
+ axis=axes[0], limit=np.max(bounds), norm=norm)
+axes[0].set_aspect('equal')
+
+# Create norm for the plots:
+bounds = np.array([-3, -0.5, -0.25, -0.1, 0, 0.1, 0.25, 0.5, 3])
+norm = BoundaryNorm(bounds, RdBu.N)
+# Vortex:
+phase_map_num_vort = phasemapper(mag_data_vort)
+phase_map_num_vort.unit = 'mrad'
+phase_diff_vort = phase_map_num_vort - phase_map_ana_vort
+phase_diff_vort -= np.mean(phase_diff_vort.phase)
+RMS_vort = np.sqrt(np.mean(phase_diff_vort.phase**2))
+phase_diff_vort.display_phase(u'Vortex state disc, RMS = {:3.2f} µrad'.format(RMS_vort*1000),
+ axis=axes[1], limit=np.max(bounds), norm=norm)
+axes[1].set_aspect('equal')
+
+plt.show()
+plt.figtext(0.15, 0.2, 'c)', fontsize=30)
+plt.figtext(0.52, 0.2, 'd)', fontsize=30)
+plt.savefig(directory + '/ch5-2-fourier_phase_differe_padding_10.png', bbox_inches='tight')
+
+###############################################################################################
+print 'CH5-2 FOURIER PADDING VARIATION'
+
+# Input parameters:
+a = 1.0 # in nm
+phi = pi/2
+dim = (16, 128, 128) # in px (z, y, x)
+center = (dim[0]/2-0.5, dim[1]/2.-0.5, dim[2]/2.-0.5) # in px (z, y, x) index starts with 0!
+radius = dim[1]/4 # in px
+height = dim[0]/2 # in px
+
+key = 'ch5-2-fourier_padding_mag_dist'
+if key in data_shelve and not force_calculation:
+ print '--LOAD MAGNETIC DISTRIBUTIONS'
+ (mag_data_disc, mag_data_vort) = data_shelve[key]
+else:
+ print '--CREATE MAGNETIC DISTRIBUTIONS'
+ # Create magnetic shape (4 times the size):
+ a_big = a / 2
+ dim_big = (dim[0]*2, dim[1]*2, dim[2]*2)
+ center_big = (dim_big[0]/2-0.5, dim_big[1]/2.-0.5, dim_big[2]/2.-0.5)
+ radius_big = dim_big[1]/4 # in px
+ height_big = dim_big[0]/2 # in px
+ mag_shape = mc.Shapes.disc(dim_big, center_big, radius_big, height_big)
+ # Create MagData (4 times the size):
+ mag_data_disc = MagData(a_big, mc.create_mag_dist_homog(mag_shape, phi))
+ mag_data_vort = MagData(a_big, mc.create_mag_dist_vortex(mag_shape, center_big))
+ # Scale mag_data, grid spacing and dimensions:
+ mag_data_disc.scale_down()
+ mag_data_vort.scale_down()
+ print '--SAVE MAGNETIC DISTRIBUTIONS'
+ # Shelve magnetic distributions:
+ data_shelve[key] = (mag_data_disc, mag_data_vort)
+
+# Create projections along z-axis:
+projector = SimpleProjector(dim)
+# Get analytic solutions:
+phase_ana_disc = an.phase_mag_disc(dim, a, phi, center, radius, height)
+phase_ana_vort = an.phase_mag_vortex(dim, a, center, radius, height)
+
+# List of applied paddings:
+padding_list = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16]
+
+print '--LOAD/CREATE PADDING SERIES OF HOMOG. MAGN. DISC'
+data_disc = np.zeros((3, len(padding_list)))
+data_disc[0, :] = padding_list
+for (i, padding) in enumerate(padding_list):
+ key = ', '.join(['Padding->RMS|duration', 'Fourier', 'padding={}'.format(padding_list[i]),
+ 'a={}'.format(a), 'dim={}'.format(dim), 'phi={}'.format(phi), 'disc'])
+ if key in data_shelve and not force_calculation:
+ data_disc[:, i] = data_shelve[key]
else:
- print '--CREATE MAGNETIC DISTRIBUTIONS'
- # Create magnetic shape (4 times the size):
- a_big = a / 2
- dim_big = (dim[0]*2, dim[1]*2, dim[2]*2)
- center_big = (dim_big[0]/2-0.5, dim_big[1]/2.-0.5, dim_big[2]/2.-0.5)
- radius_big = dim_big[1]/4 # in px
- height_big = dim_big[0]/2 # in px
- mag_shape = mc.Shapes.disc(dim_big, center_big, radius_big, height_big)
- # Create MagData (4 times the size):
- mag_data_disc = MagData(a_big, mc.create_mag_dist_homog(mag_shape, phi))
- mag_data_vort = MagData(a_big, mc.create_mag_dist_vortex(mag_shape, center_big))
- # Scale mag_data, grid spacing and dimensions:
- mag_data_disc.scale_down()
- mag_data_vort.scale_down()
- print '--SAVE MAGNETIC DISTRIBUTIONS'
- # Shelve magnetic distributions:
- data_shelve[key] = (mag_data_disc, mag_data_vort)
-
- print '--PLOT/SAVE PHASE DIFFERENCES'
- # Create projections along z-axis:
- projection_disc = pj.simple_axis_projection(mag_data_disc)
- projection_vort = pj.simple_axis_projection(mag_data_vort)
- # Get analytic solutions:
- phase_ana_disc = an.phase_mag_disc(dim, a, phi, center, radius, height)
- phase_ana_vort = an.phase_mag_vortex(dim, a, center, radius, height)
-
- # Create figure:
- fig, axes = plt.subplots(1, 2, figsize=(16, 7))
- fig.suptitle('Difference of the real space approach from the analytical solution', fontsize=20)
- # Create norm for the plots:
- bounds = np.array([-100, -50, -25, -5, 0, 5, 25, 50, 100])
- norm = BoundaryNorm(bounds, RdBu.N)
- # Disc:
- phase_num_disc = pm.phase_mag_fourier(a, projection_disc, padding=0)
- phase_diff_disc = PhaseMap(a, (phase_num_disc-phase_ana_disc), 'mrad')
- RMS_disc = np.sqrt(np.mean(phase_diff_disc.phase**2))
- phase_diff_disc.display('Homog. magn. disc, RMS = {:3.2f} mrad'.format(RMS_disc),
- axis=axes[0], limit=np.max(bounds), norm=norm)
- axes[0].set_aspect('equal')
- # Vortex:
- phase_num_vort = pm.phase_mag_fourier(a, projection_vort, padding=0)
- phase_diff_vort = PhaseMap(a, (phase_num_vort-phase_ana_vort), 'mrad')
- RMS_vort = np.sqrt(np.mean(phase_diff_vort.phase**2))
- phase_diff_vort.display('Vortex state disc, RMS = {:3.2f} mrad'.format(RMS_vort),
- axis=axes[1], limit=np.max(bounds), norm=norm)
- axes[1].set_aspect('equal')
-
- plt.show()
- plt.figtext(0.15, 0.2, 'a)', fontsize=30)
- plt.figtext(0.52, 0.2, 'b)', fontsize=30)
- plt.savefig(directory + '/ch5-2-fourier_phase_differe_no_padding.png', bbox_inches='tight')
-
- # Create figure:
- fig, axes = plt.subplots(1, 2, figsize=(16, 7))
- fig.suptitle('Difference of the real space approach from the analytical solution', fontsize=20)
- # Create norm for the plots:
- bounds = np.array([-3, -0.5, -0.25, -0.1, 0, 0.1, 0.25, 0.5, 3])
- norm = BoundaryNorm(bounds, RdBu.N)
- # Disc:
- phase_num_disc = pm.phase_mag_fourier(a, projection_disc, padding=10)
- phase_diff_disc = PhaseMap(a, (phase_num_disc-phase_ana_disc), 'mrad')
- RMS_disc = np.sqrt(np.mean(phase_diff_disc.phase**2))
- phase_diff_disc.display('Homog. magn. disc, RMS = {:3.2f} mrad'.format(RMS_disc),
- axis=axes[0], limit=np.max(bounds), norm=norm)
- axes[0].set_aspect('equal')
- # Vortex:
- phase_num_vort = pm.phase_mag_fourier(a, projection_vort, padding=10)
- phase_diff_vort = PhaseMap(a, (phase_num_vort-phase_ana_vort), 'mrad')
- RMS_vort = np.sqrt(np.mean(phase_diff_vort.phase**2))
- phase_diff_vort.display('Vortex state disc, RMS = {:3.2f} mrad'.format(RMS_vort),
- axis=axes[1], limit=np.max(bounds), norm=norm)
- axes[1].set_aspect('equal')
-
- plt.show()
- plt.figtext(0.15, 0.2, 'c)', fontsize=30)
- plt.figtext(0.52, 0.2, 'd)', fontsize=30)
- plt.savefig(directory + '/ch5-2-fourier_phase_differe_padding_10.png', bbox_inches='tight')
-
- ###############################################################################################
- print 'CH5-2 FOURIER PADDING VARIATION'
-
- # Input parameters:
- a = 1.0 # in nm
- phi = pi/2
- dim = (16, 128, 128) # in px (z, y, x)
- center = (dim[0]/2-0.5, dim[1]/2.-0.5, dim[2]/2.-0.5) # in px (z, y, x) index starts with 0!
- radius = dim[1]/4 # in px
- height = dim[0]/2 # in px
-
- key = 'ch5-2-fourier_padding_mag_dist'
- if key in data_shelve:
- print '--LOAD MAGNETIC DISTRIBUTIONS'
- (mag_data_disc, mag_data_vort) = data_shelve[key]
+ print '----calculate and save padding =', padding_list[i]
+ phasemapper = PMFourier(a, projector, padding=padding_list[i])
+ start_time = time.time()
+ phase_num_disc = phasemapper(mag_data_disc)
+ data_disc[2, i] = time.time() - start_time
+ phase_map_diff = phase_num_disc - phase_ana_disc
+ phase_map_diff.unit = 'mrad'
+ phase_map_diff.display_phase()
+ data_disc[1, i] = np.sqrt(np.mean(phase_map_diff.phase**2))*1E3 # *1E3: rad to mraddd
+ data_shelve[key] = data_disc[:, i]
+
+print '--PLOT/SAVE PADDING SERIES OF HOMOG. MAGN. DISC'
+# Create figure:
+fig, axes = plt.subplots(1, 2, figsize=(16, 7))
+fig.suptitle('Variation of the padding (homog. magn. disc)', fontsize=20)
+# Plot RMS against padding:
+axes[0].axhline(y=0.18, linestyle='--', color='g', label='RMS [mrad] (real space)')
+axes[0].plot(data_disc[0], data_disc[1], 'go-', label='RMS [mrad] (Fourier space)')
+axes[0].set_xlabel('padding', fontsize=15)
+axes[0].set_ylabel('RMS [mrad]', fontsize=15)
+axes[0].set_xlim(-0.5, 16.5)
+axes[0].set_ylim(-5, 45)
+axes[0].xaxis.set_major_locator(MaxNLocator(nbins=10, integer=True))
+axes[0].tick_params(axis='both', which='major', labelsize=14)
+axes[0].legend()
+# Plot zoom inset:
+ins_axis_d = plt.axes([0.2, 0.35, 0.25, 0.4])
+ins_axis_d.axhline(y=0.18, linestyle='--', color='g')
+ins_axis_d.plot(data_disc[0], data_disc[1], 'go-')
+ins_axis_d.set_yscale('log')
+ins_axis_d.set_xlim(5.5, 16.5)
+ins_axis_d.set_ylim(0.1, 1.1)
+ins_axis_d.tick_params(axis='both', which='major', labelsize=14)
+# Plot duration against padding:
+axes[1].plot(data_disc[0], data_disc[2], 'bo-')
+axes[1].set_xlabel('padding', fontsize=15)
+axes[1].set_ylabel('duration [s]', fontsize=15)
+axes[1].set_xlim(-0.5, 16.5)
+axes[1].set_ylim(-0.05, 1.5)
+axes[1].xaxis.set_major_locator(MaxNLocator(nbins=10, integer=True))
+axes[1].yaxis.set_major_locator(MaxNLocator(nbins=10))
+axes[1].tick_params(axis='both', which='major', labelsize=14)
+
+plt.show()
+plt.figtext(0.15, 0.13, 'a)', fontsize=30)
+plt.figtext(0.57, 0.17, 'b)', fontsize=30)
+plt.savefig(directory + '/ch5-2-disc_padding_variation.png', bbox_inches='tight')
+
+print '--LOAD/CREATE PADDING SERIES OF VORTEX STATE DISC'
+data_vort = np.zeros((3, len(padding_list)))
+data_vort[0, :] = padding_list
+for (i, padding) in enumerate(padding_list):
+ key = ', '.join(['Padding->RMS|duration', 'Fourier', 'padding={}'.format(padding_list[i]),
+ 'a={}'.format(a), 'dim={}'.format(dim), 'phi={}'.format(phi), 'vort'])
+ if key in data_shelve and not force_calculation:
+ data_vort[:, i] = data_shelve[key]
else:
- print '--CREATE MAGNETIC DISTRIBUTIONS'
- # Create magnetic shape (4 times the size):
- a_big = a / 2
- dim_big = (dim[0]*2, dim[1]*2, dim[2]*2)
- center_big = (dim_big[0]/2-0.5, dim_big[1]/2.-0.5, dim_big[2]/2.-0.5)
- radius_big = dim_big[1]/4 # in px
- height_big = dim_big[0]/2 # in px
- mag_shape = mc.Shapes.disc(dim_big, center_big, radius_big, height_big)
- # Create MagData (4 times the size):
- mag_data_disc = MagData(a_big, mc.create_mag_dist_homog(mag_shape, phi))
- mag_data_vort = MagData(a_big, mc.create_mag_dist_vortex(mag_shape, center_big))
- # Scale mag_data, grid spacing and dimensions:
- mag_data_disc.scale_down()
- mag_data_vort.scale_down()
- print '--SAVE MAGNETIC DISTRIBUTIONS'
- # Shelve magnetic distributions:
- data_shelve[key] = (mag_data_disc, mag_data_vort)
-
- # Create projections along z-axis:
- projection_disc = pj.simple_axis_projection(mag_data_disc)
- projection_vort = pj.simple_axis_projection(mag_data_vort)
- # Get analytic solutions:
- phase_ana_disc = an.phase_mag_disc(dim, a, phi, center, radius, height)
- phase_ana_vort = an.phase_mag_vortex(dim, a, center, radius, height)
-
- # List of applied paddings:
- padding_list = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16]
-
- print '--LOAD/CREATE PADDING SERIES OF HOMOG. MAGN. DISC'
- data_disc = np.zeros((3, len(padding_list)))
- data_disc[0, :] = padding_list
- for (i, padding) in enumerate(padding_list):
- key = ', '.join(['Padding->RMS|duration', 'Fourier', 'padding={}'.format(padding_list[i]),
- 'a={}'.format(a), 'dim={}'.format(dim), 'phi={}'.format(phi), 'disc'])
- if key in data_shelve:
- data_disc[:, i] = data_shelve[key]
- else:
- print '----calculate and save padding =', padding_list[i]
- start_time = time.time()
- phase_num_disc = pm.phase_mag_fourier(a, projection_disc, padding=padding_list[i])
- data_disc[2, i] = time.time() - start_time
- phase_diff = (phase_num_disc-phase_ana_disc)
- phase_map_diff = PhaseMap(a, phase_diff, 'mrad')
- phase_map_diff.display()
- data_disc[1, i] = np.sqrt(np.mean(phase_map_diff.phase**2))*1E3 # *1E3: rad to mraddd
- data_shelve[key] = data_disc[:, i]
-
- print '--PLOT/SAVE PADDING SERIES OF HOMOG. MAGN. DISC'
- # Create figure:
- fig, axes = plt.subplots(1, 2, figsize=(16, 7))
- fig.suptitle('Variation of the padding (homog. magn. disc)', fontsize=20)
- # Plot RMS against padding:
- axes[0].axhline(y=0.18, linestyle='--', color='g', label='RMS [mrad] (real space)')
- axes[0].plot(data_disc[0], data_disc[1], 'go-', label='RMS [mrad] (Fourier space)')
- axes[0].set_xlabel('padding', fontsize=15)
- axes[0].set_ylabel('RMS [mrad]', fontsize=15)
- axes[0].set_xlim(-0.5, 16.5)
- axes[0].set_ylim(-5, 45)
- axes[0].xaxis.set_major_locator(MaxNLocator(nbins=10, integer=True))
- axes[0].tick_params(axis='both', which='major', labelsize=14)
- axes[0].legend()
- # Plot zoom inset:
- ins_axis_d = plt.axes([0.2, 0.35, 0.25, 0.4])
- ins_axis_d.axhline(y=0.18, linestyle='--', color='g')
- ins_axis_d.plot(data_disc[0], data_disc[1], 'go-')
- ins_axis_d.set_yscale('log')
- ins_axis_d.set_xlim(5.5, 16.5)
- ins_axis_d.set_ylim(0.1, 1.1)
- ins_axis_d.tick_params(axis='both', which='major', labelsize=14)
- # Plot duration against padding:
- axes[1].plot(data_disc[0], data_disc[2], 'bo-')
- axes[1].set_xlabel('padding', fontsize=15)
- axes[1].set_ylabel('duration [s]', fontsize=15)
- axes[1].set_xlim(-0.5, 16.5)
- axes[1].set_ylim(-0.05, 3)
- axes[1].xaxis.set_major_locator(MaxNLocator(nbins=10, integer=True))
- axes[1].yaxis.set_major_locator(MaxNLocator(nbins=10))
- axes[1].tick_params(axis='both', which='major', labelsize=14)
-
- plt.show()
- plt.figtext(0.15, 0.13, 'a)', fontsize=30)
- plt.figtext(0.57, 0.17, 'b)', fontsize=30)
- plt.savefig(directory + '/ch5-2-disc_padding_variation.png', bbox_inches='tight')
-
- print '--LOAD/CREATE PADDING SERIES OF VORTEX STATE DISC'
- data_vort = np.zeros((3, len(padding_list)))
- data_vort[0, :] = padding_list
- for (i, padding) in enumerate(padding_list):
- key = ', '.join(['Padding->RMS|duration', 'Fourier', 'padding={}'.format(padding_list[i]),
- 'a={}'.format(a), 'dim={}'.format(dim), 'phi={}'.format(phi), 'vort'])
- if key in data_shelve:
- data_vort[:, i] = data_shelve[key]
- else:
- print '----calculate and save padding =', padding_list[i]
- start_time = time.time()
- phase_num_vort = pm.phase_mag_fourier(a, projection_vort, padding=padding_list[i])
- data_vort[2, i] = time.time() - start_time
- phase_diff = (phase_num_vort-phase_ana_vort)
- phase_map_diff = PhaseMap(a, phase_diff, 'mrad')
- phase_map_diff.display()
- data_vort[1, i] = np.sqrt(np.mean(phase_map_diff.phase**2))*1E3 # *1E3: rad to mrad
- data_shelve[key] = data_vort[:, i]
-
- print '--PLOT/SAVE PADDING SERIES OF VORTEX STATE DISC'
- # Create figure:
- fig, axes = plt.subplots(1, 2, figsize=(16, 7))
- fig.suptitle('Variation of the padding (Vortex state disc)', fontsize=20)
- # Plot RMS against padding:
- axes[0].axhline(y=0.22, linestyle='--', color='g', label='RMS [mrad] (real space)')
- axes[0].plot(data_vort[0], data_vort[1], 'go-', label='RMS [mrad] (Fourier space)')
- axes[0].set_xlabel('padding', fontsize=15)
- axes[0].set_ylabel('RMS [mrad]', fontsize=15)
- axes[0].set_xlim(-0.5, 16.5)
- axes[0].set_ylim(-5, 45)
- axes[0].tick_params(axis='both', which='major', labelsize=14)
- axes[0].xaxis.set_major_locator(MaxNLocator(nbins=10, integer=True))
- axes[0].legend()
- # Plot zoom inset:
- ins_axis_v = plt.axes([0.2, 0.35, 0.25, 0.4])
- ins_axis_v.axhline(y=0.22, linestyle='--', color='g')
- ins_axis_v.plot(data_vort[0], data_vort[1], 'go-')
- ins_axis_v.set_yscale('log')
- ins_axis_v.set_xlim(5.5, 16.5)
- ins_axis_v.set_ylim(0.1, 1.1)
- ins_axis_v.tick_params(axis='both', which='major', labelsize=14)
- # Plot duration against padding:
- axes[1].plot(data_vort[0], data_vort[2], 'bo-')
- axes[1].set_xlabel('padding', fontsize=15)
- axes[1].set_ylabel('duration [s]', fontsize=15)
- axes[1].set_xlim(-0.5, 16.5)
- axes[1].set_ylim(-0.05, 3)
- axes[1].xaxis.set_major_locator(MaxNLocator(nbins=10, integer=True))
- axes[1].yaxis.set_major_locator(MaxNLocator(nbins=10))
- axes[1].tick_params(axis='both', which='major', labelsize=14)
-
- plt.show()
- plt.figtext(0.15, 0.13, 'c)', fontsize=30)
- plt.figtext(0.57, 0.17, 'd)', fontsize=30)
- plt.savefig(directory + '/ch5-2-vortex_padding_variation.png', bbox_inches='tight')
-
- ###############################################################################################
- print 'CLOSING SHELVE\n'
- # Close shelve:
- data_shelve.close()
-
- ###############################################################################################
-
-
-if __name__ == "__main__":
- try:
- run()
- except:
- type, value, tb = sys.exc_info()
- traceback.print_exc()
- pdb.post_mortem(tb)
+ print '----calculate and save padding =', padding_list[i]
+ phasemapper = PMFourier(a, projector, padding=padding_list[i])
+ start_time = time.time()
+ phase_num_vort = phasemapper(mag_data_vort)
+ data_vort[2, i] = time.time() - start_time
+ phase_map_diff = phase_num_vort - phase_ana_vort
+ phase_map_diff -= np.mean(phase_map_diff.phase)
+ phase_map_diff.unit = 'mrad'
+ phase_map_diff.display_phase()
+ data_vort[1, i] = np.sqrt(np.mean(phase_map_diff.phase**2))*1E3 # *1E3: rad to mrad
+ data_shelve[key] = data_vort[:, i]
+
+print '--PLOT/SAVE PADDING SERIES OF VORTEX STATE DISC'
+# Create figure:
+fig, axes = plt.subplots(1, 2, figsize=(16, 7))
+fig.suptitle('Variation of the padding (Vortex state disc)', fontsize=20)
+# Plot RMS against padding:
+axes[0].axhline(y=0.22, linestyle='--', color='g', label='RMS [mrad] (real space)')
+axes[0].plot(data_vort[0], data_vort[1], 'go-', label='RMS [mrad] (Fourier space)')
+axes[0].set_xlabel('padding', fontsize=15)
+axes[0].set_ylabel('RMS [mrad]', fontsize=15)
+axes[0].set_xlim(-0.5, 16.5)
+axes[0].set_ylim(-5, 45)
+axes[0].tick_params(axis='both', which='major', labelsize=14)
+axes[0].xaxis.set_major_locator(MaxNLocator(nbins=10, integer=True))
+axes[0].legend()
+# Plot zoom inset:
+ins_axis_v = plt.axes([0.2, 0.35, 0.25, 0.4])
+ins_axis_v.axhline(y=0.22, linestyle='--', color='g')
+ins_axis_v.plot(data_vort[0], data_vort[1], 'go-')
+ins_axis_v.set_yscale('log')
+ins_axis_v.set_xlim(5.5, 16.5)
+ins_axis_v.set_ylim(0.1, 1.1)
+ins_axis_v.tick_params(axis='both', which='major', labelsize=14)
+# Plot duration against padding:
+axes[1].plot(data_vort[0], data_vort[2], 'bo-')
+axes[1].set_xlabel('padding', fontsize=15)
+axes[1].set_ylabel('duration [s]', fontsize=15)
+axes[1].set_xlim(-0.5, 16.5)
+axes[1].set_ylim(-0.05, 1.5)
+axes[1].xaxis.set_major_locator(MaxNLocator(nbins=10, integer=True))
+axes[1].yaxis.set_major_locator(MaxNLocator(nbins=10))
+axes[1].tick_params(axis='both', which='major', labelsize=14)
+
+plt.show()
+plt.figtext(0.15, 0.13, 'c)', fontsize=30)
+plt.figtext(0.57, 0.17, 'd)', fontsize=30)
+plt.savefig(directory + '/ch5-2-vortex_padding_variation.png', bbox_inches='tight')
+
+###############################################################################################
+print 'CLOSING SHELVE\n'
+# Close shelve:
+data_shelve.close()
diff --git a/scripts/paper 1/ch5-3-comparison_of_methods.py b/scripts/paper 1/ch5-3-comparison_of_methods.py
index 6d230f0..c0c64b4 100644
--- a/scripts/paper 1/ch5-3-comparison_of_methods.py
+++ b/scripts/paper 1/ch5-3-comparison_of_methods.py
@@ -8,9 +8,6 @@ Created on Fri Jul 26 14:37:30 2013
import time
-import pdb
-import traceback
-import sys
import os
import numpy as np
@@ -27,248 +24,235 @@ from pyramid.magdata import MagData
import shelve
-def run():
+print '\nACCESS SHELVE'
+# Create / Open databank:
+directory = '../../output/paper 1'
+if not os.path.exists(directory):
+ os.makedirs(directory)
+data_shelve = shelve.open(directory + '/paper_1_shelve')
- print '\nACCESS SHELVE'
- # Create / Open databank:
- directory = '../../output/paper 1'
- if not os.path.exists(directory):
- os.makedirs(directory)
- data_shelve = shelve.open(directory + '/paper_1_shelve')
+###############################################################################################
+print 'CH5-3 METHOD COMPARISON'
- ###############################################################################################
- print 'CH5-3 METHOD COMPARISON'
+key = 'ch5-3-method_comparison'
+if key in data_shelve:
+ print '--LOAD METHOD DATA'
+ (data_disc_fourier0, data_vort_fourier0,
+ data_disc_fourier1, data_vort_fourier1,
+ data_disc_fourier10, data_vort_fourier10,
+ data_disc_real_s, data_vort_real_s,
+ data_disc_real_d, data_vort_real_d) = data_shelve[key]
+else:
+ # Input parameters:
+ steps = 6
+ a = 0.25 # in nm
+ phi = pi/2
+ dim = (64, 512, 512) # in px (z, y, x)
+ center = (dim[0]/2-0.5, dim[1]/2.-0.5, dim[2]/2.-0.5) # in px (z, y, x) index starts at 0!
+ radius = dim[1]/4 # in px
+ height = dim[0]/2 # in px
- key = 'ch5-3-method_comparison'
- if key in data_shelve:
- print '--LOAD METHOD DATA'
- (data_disc_fourier0, data_vort_fourier0,
- data_disc_fourier1, data_vort_fourier1,
- data_disc_fourier10, data_vort_fourier10,
- data_disc_real_s, data_vort_real_s,
- data_disc_real_d, data_vort_real_d) = data_shelve[key]
- else:
- # Input parameters:
- steps = 6
- a = 0.25 # in nm
- phi = pi/2
- dim = (64, 512, 512) # in px (z, y, x)
- center = (dim[0]/2-0.5, dim[1]/2.-0.5, dim[2]/2.-0.5) # in px (z, y, x) index starts at 0!
- radius = dim[1]/4 # in px
- height = dim[0]/2 # in px
-
- print '--CREATE MAGNETIC SHAPE'
- mag_shape = mc.Shapes.disc(dim, center, radius, height)
- # Create MagData (4 times the size):
- print '--CREATE MAG. DIST. HOMOG. MAGN. DISC'
- mag_data_disc = MagData(a, mc.create_mag_dist_homog(mag_shape, phi))
- print '--CREATE MAG. DIST. VORTEX STATE DISC'
- mag_data_vort = MagData(a, mc.create_mag_dist_vortex(mag_shape, center))
-
- # Create Data Arrays:
- a_list = [a*2**i for i in np.linspace(1, steps, steps)]
- data_disc_fourier0 = np.vstack((a_list, np.zeros((2, steps))))
- data_vort_fourier0 = np.vstack((a_list, np.zeros((2, steps))))
- data_disc_fourier1 = np.vstack((a_list, np.zeros((2, steps))))
- data_vort_fourier1 = np.vstack((a_list, np.zeros((2, steps))))
- data_disc_fourier10 = np.vstack((a_list, np.zeros((2, steps))))
- data_vort_fourier10 = np.vstack((a_list, np.zeros((2, steps))))
- data_disc_real_s = np.vstack((a_list, np.zeros((2, steps))))
- data_vort_real_s = np.vstack((a_list, np.zeros((2, steps))))
- data_disc_real_d = np.vstack((a_list, np.zeros((2, steps))))
- data_vort_real_d = np.vstack((a_list, np.zeros((2, steps))))
+ print '--CREATE MAGNETIC SHAPE'
+ mag_shape = mc.Shapes.disc(dim, center, radius, height)
+ # Create MagData (4 times the size):
+ print '--CREATE MAG. DIST. HOMOG. MAGN. DISC'
+ mag_data_disc = MagData(a, mc.create_mag_dist_homog(mag_shape, phi))
+ print '--CREATE MAG. DIST. VORTEX STATE DISC'
+ mag_data_vort = MagData(a, mc.create_mag_dist_vortex(mag_shape, center))
- for i in range(steps):
- # Scale mag_data, grid spacing and dimensions:
- mag_data_disc.scale_down()
- mag_data_vort.scale_down()
- dim = mag_data_disc.dim
- a = mag_data_disc.a
- center = (dim[0]/2-0.5, dim[1]/2.-0.5, dim[2]/2.-0.5) # in px, index starts at 0!
- radius = dim[1]/4 # in px
- height = dim[0]/2 # in px
+ # Create Data Arrays:
+ a_list = [a*2**i for i in np.linspace(1, steps, steps)]
+ data_disc_fourier0 = np.vstack((a_list, np.zeros((2, steps))))
+ data_vort_fourier0 = np.vstack((a_list, np.zeros((2, steps))))
+ data_disc_fourier1 = np.vstack((a_list, np.zeros((2, steps))))
+ data_vort_fourier1 = np.vstack((a_list, np.zeros((2, steps))))
+ data_disc_fourier10 = np.vstack((a_list, np.zeros((2, steps))))
+ data_vort_fourier10 = np.vstack((a_list, np.zeros((2, steps))))
+ data_disc_real_s = np.vstack((a_list, np.zeros((2, steps))))
+ data_vort_real_s = np.vstack((a_list, np.zeros((2, steps))))
+ data_disc_real_d = np.vstack((a_list, np.zeros((2, steps))))
+ data_vort_real_d = np.vstack((a_list, np.zeros((2, steps))))
- print '--a =', a, 'nm', 'dim =', dim
-
- print '----CALCULATE RMS/DURATION HOMOG. MAGN. DISC'
- # Create projections along z-axis:
- projection_disc = pj.simple_axis_projection(mag_data_disc)
- # Analytic solution:
- phase_ana_disc = an.phase_mag_disc(dim, a, phi, center, radius, height)
- # Fourier unpadded:
- padding = 0
- start_time = time.clock()
- phase_num_disc = pm.phase_mag_fourier(a, projection_disc, padding=padding)
- data_disc_fourier0[2, i] = time.clock() - start_time
- print '------time (disc, fourier0) =', data_disc_fourier0[2, i]
- phase_diff_disc = (phase_ana_disc-phase_num_disc) * 1E3 # in mrad -> *1000
- data_disc_fourier0[1, i] = np.sqrt(np.mean(phase_diff_disc**2))
- # Fourier padding 1:
- padding = 1
- start_time = time.clock()
- phase_num_disc = pm.phase_mag_fourier(a, projection_disc, padding=padding)
- data_disc_fourier1[2, i] = time.clock() - start_time
- print '------time (disc, fourier1) =', data_disc_fourier1[2, i]
- phase_diff_disc = (phase_ana_disc-phase_num_disc) * 1E3 # in mrad -> *1000
- data_disc_fourier1[1, i] = np.sqrt(np.mean(phase_diff_disc**2))
- # Fourier padding 10:
- padding = 10
- start_time = time.clock()
- phase_num_disc = pm.phase_mag_fourier(a, projection_disc, padding=padding)
- data_disc_fourier10[2, i] = time.clock() - start_time
- print '------time (disc, fourier10) =', data_disc_fourier10[2, i]
- phase_diff_disc = (phase_ana_disc-phase_num_disc) * 1E3 # in mrad -> *1000
- data_disc_fourier10[1, i] = np.sqrt(np.mean(phase_diff_disc**2))
- # Real space slab:
- start_time = time.clock()
- phase_num_disc = pm.phase_mag_real(a, projection_disc, geometry='slab')
- data_disc_real_s[2, i] = time.clock() - start_time
- print '------time (disc, real slab) =', data_disc_real_s[2, i]
- phase_diff_disc = (phase_ana_disc-phase_num_disc) * 1E3 # in mrad -> *1000
- data_disc_real_s[1, i] = np.sqrt(np.mean(phase_diff_disc**2))
- # Real space disc:
- start_time = time.clock()
- phase_num_disc = pm.phase_mag_real(a, projection_disc, geometry='disc')
- data_disc_real_d[2, i] = time.clock() - start_time
- print '------time (disc, real disc) =', data_disc_real_d[2, i]
- phase_diff_disc = (phase_ana_disc-phase_num_disc) * 1E3 # in mrad -> *1000
- data_disc_real_d[1, i] = np.sqrt(np.mean(phase_diff_disc**2))
-
- print '----CALCULATE RMS/DURATION VORTEX STATE DISC'
- # Create projections along z-axis:
- projection_vort = pj.simple_axis_projection(mag_data_vort)
- # Analytic solution:
- phase_ana_vort = an.phase_mag_vortex(dim, a, center, radius, height)
- # Fourier unpadded:
- padding = 0
- start_time = time.clock()
- phase_num_vort = pm.phase_mag_fourier(a, projection_vort, padding=padding)
- data_vort_fourier0[2, i] = time.clock() - start_time
- print '------time (vortex, fourier0) =', data_vort_fourier0[2, i]
- phase_diff_vort = (phase_ana_vort-phase_num_vort) * 1E3 # in mrad -> *1000
- data_vort_fourier0[1, i] = np.sqrt(np.mean(phase_diff_vort**2))
- # Fourier padding 1:
- padding = 1
- start_time = time.clock()
- phase_num_vort = pm.phase_mag_fourier(a, projection_vort, padding=padding)
- data_vort_fourier1[2, i] = time.clock() - start_time
- print '------time (vortex, fourier1) =', data_vort_fourier1[2, i]
- phase_diff_vort = (phase_ana_vort-phase_num_vort) * 1E3 # in mrad -> *1000
- data_vort_fourier1[1, i] = np.sqrt(np.mean(phase_diff_vort**2))
- # Fourier padding 10:
- padding = 10
- start_time = time.clock()
- phase_num_vort = pm.phase_mag_fourier(a, projection_vort, padding=padding)
- data_vort_fourier10[2, i] = time.clock() - start_time
- print '------time (vortex, fourier10) =', data_vort_fourier10[2, i]
- phase_diff_vort = (phase_ana_vort-phase_num_vort) * 1E3 # in mrad -> *1000
- data_vort_fourier10[1, i] = np.sqrt(np.mean(phase_diff_vort**2))
- # Real space slab:
- start_time = time.clock()
- phase_num_vort = pm.phase_mag_real(a, projection_vort, geometry='slab')
- data_vort_real_s[2, i] = time.clock() - start_time
- print '------time (vortex, real slab) =', data_vort_real_s[2, i]
- phase_diff_vort = (phase_ana_vort-phase_num_vort) * 1E3 # in mrad -> *1000
- data_vort_real_s[1, i] = np.sqrt(np.mean(phase_diff_vort**2))
- # Real space disc:
- start_time = time.clock()
- phase_num_vort = pm.phase_mag_real(a, projection_vort, geometry='disc')
- data_vort_real_d[2, i] = time.clock() - start_time
- print '------time (vortex, real disc) =', data_vort_real_d[2, i]
- phase_diff_vort = (phase_ana_vort-phase_num_vort) * 1E3 # in mrad -> *1000
- data_vort_real_d[1, i] = np.sqrt(np.mean(phase_diff_vort**2))
+ for i in range(steps):
+ # Scale mag_data, grid spacing and dimensions:
+ mag_data_disc.scale_down()
+ mag_data_vort.scale_down()
+ dim = mag_data_disc.dim
+ a = mag_data_disc.a
+ center = (dim[0]/2-0.5, dim[1]/2.-0.5, dim[2]/2.-0.5) # in px, index starts at 0!
+ radius = dim[1]/4 # in px
+ height = dim[0]/2 # in px
- print '--SHELVE METHOD DATA'
- data_shelve[key] = (data_disc_fourier0, data_vort_fourier0,
- data_disc_fourier1, data_vort_fourier1,
- data_disc_fourier10, data_vort_fourier10,
- data_disc_real_s, data_vort_real_s,
- data_disc_real_d, data_vort_real_d)
+ print '--a =', a, 'nm', 'dim =', dim
- print '--PLOT/SAVE METHOD DATA'
+ print '----CALCULATE RMS/DURATION HOMOG. MAGN. DISC'
+ # Create projections along z-axis:
+ projection_disc = pj.simple_axis_projection(mag_data_disc)
+ # Analytic solution:
+ phase_ana_disc = an.phase_mag_disc(dim, a, phi, center, radius, height)
+ # Fourier unpadded:
+ padding = 0
+ start_time = time.clock()
+ phase_num_disc = pm.phase_mag_fourier(a, projection_disc, padding=padding)
+ data_disc_fourier0[2, i] = time.clock() - start_time
+ print '------time (disc, fourier0) =', data_disc_fourier0[2, i]
+ phase_diff_disc = (phase_ana_disc-phase_num_disc) * 1E3 # in mrad -> *1000
+ data_disc_fourier0[1, i] = np.sqrt(np.mean(phase_diff_disc**2))
+ # Fourier padding 1:
+ padding = 1
+ start_time = time.clock()
+ phase_num_disc = pm.phase_mag_fourier(a, projection_disc, padding=padding)
+ data_disc_fourier1[2, i] = time.clock() - start_time
+ print '------time (disc, fourier1) =', data_disc_fourier1[2, i]
+ phase_diff_disc = (phase_ana_disc-phase_num_disc) * 1E3 # in mrad -> *1000
+ data_disc_fourier1[1, i] = np.sqrt(np.mean(phase_diff_disc**2))
+ # Fourier padding 10:
+ padding = 10
+ start_time = time.clock()
+ phase_num_disc = pm.phase_mag_fourier(a, projection_disc, padding=padding)
+ data_disc_fourier10[2, i] = time.clock() - start_time
+ print '------time (disc, fourier10) =', data_disc_fourier10[2, i]
+ phase_diff_disc = (phase_ana_disc-phase_num_disc) * 1E3 # in mrad -> *1000
+ data_disc_fourier10[1, i] = np.sqrt(np.mean(phase_diff_disc**2))
+ # Real space slab:
+ start_time = time.clock()
+ phase_num_disc = pm.phase_mag_real(a, projection_disc, geometry='slab')
+ data_disc_real_s[2, i] = time.clock() - start_time
+ print '------time (disc, real slab) =', data_disc_real_s[2, i]
+ phase_diff_disc = (phase_ana_disc-phase_num_disc) * 1E3 # in mrad -> *1000
+ data_disc_real_s[1, i] = np.sqrt(np.mean(phase_diff_disc**2))
+ # Real space disc:
+ start_time = time.clock()
+ phase_num_disc = pm.phase_mag_real(a, projection_disc, geometry='disc')
+ data_disc_real_d[2, i] = time.clock() - start_time
+ print '------time (disc, real disc) =', data_disc_real_d[2, i]
+ phase_diff_disc = (phase_ana_disc-phase_num_disc) * 1E3 # in mrad -> *1000
+ data_disc_real_d[1, i] = np.sqrt(np.mean(phase_diff_disc**2))
- # Plot using shared rows and colums:
- fig, axes = plt.subplots(2, 2, sharex='col', sharey='row', figsize=(12, 8))
- fig.tight_layout(rect=(0.05, 0.05, 0.95, 0.95))
- fig.suptitle('Method Comparison', fontsize=20)
+ print '----CALCULATE RMS/DURATION VORTEX STATE DISC'
+ # Create projections along z-axis:
+ projection_vort = pj.simple_axis_projection(mag_data_vort)
+ # Analytic solution:
+ phase_ana_vort = an.phase_mag_vortex(dim, a, center, radius, height)
+ # Fourier unpadded:
+ padding = 0
+ start_time = time.clock()
+ phase_num_vort = pm.phase_mag_fourier(a, projection_vort, padding=padding)
+ data_vort_fourier0[2, i] = time.clock() - start_time
+ print '------time (vortex, fourier0) =', data_vort_fourier0[2, i]
+ phase_diff_vort = (phase_ana_vort-phase_num_vort) * 1E3 # in mrad -> *1000
+ data_vort_fourier0[1, i] = np.sqrt(np.mean(phase_diff_vort**2))
+ # Fourier padding 1:
+ padding = 1
+ start_time = time.clock()
+ phase_num_vort = pm.phase_mag_fourier(a, projection_vort, padding=padding)
+ data_vort_fourier1[2, i] = time.clock() - start_time
+ print '------time (vortex, fourier1) =', data_vort_fourier1[2, i]
+ phase_diff_vort = (phase_ana_vort-phase_num_vort) * 1E3 # in mrad -> *1000
+ data_vort_fourier1[1, i] = np.sqrt(np.mean(phase_diff_vort**2))
+ # Fourier padding 10:
+ padding = 10
+ start_time = time.clock()
+ phase_num_vort = pm.phase_mag_fourier(a, projection_vort, padding=padding)
+ data_vort_fourier10[2, i] = time.clock() - start_time
+ print '------time (vortex, fourier10) =', data_vort_fourier10[2, i]
+ phase_diff_vort = (phase_ana_vort-phase_num_vort) * 1E3 # in mrad -> *1000
+ data_vort_fourier10[1, i] = np.sqrt(np.mean(phase_diff_vort**2))
+ # Real space slab:
+ start_time = time.clock()
+ phase_num_vort = pm.phase_mag_real(a, projection_vort, geometry='slab')
+ data_vort_real_s[2, i] = time.clock() - start_time
+ print '------time (vortex, real slab) =', data_vort_real_s[2, i]
+ phase_diff_vort = (phase_ana_vort-phase_num_vort) * 1E3 # in mrad -> *1000
+ data_vort_real_s[1, i] = np.sqrt(np.mean(phase_diff_vort**2))
+ # Real space disc:
+ start_time = time.clock()
+ phase_num_vort = pm.phase_mag_real(a, projection_vort, geometry='disc')
+ data_vort_real_d[2, i] = time.clock() - start_time
+ print '------time (vortex, real disc) =', data_vort_real_d[2, i]
+ phase_diff_vort = (phase_ana_vort-phase_num_vort) * 1E3 # in mrad -> *1000
+ data_vort_real_d[1, i] = np.sqrt(np.mean(phase_diff_vort**2))
- # Plot duration against a (disc) [top/left]:
- axes[1, 0].set_yscale('log')
- axes[1, 0].plot(data_disc_fourier0[0], data_disc_fourier0[1], ':bs')
- axes[1, 0].plot(data_disc_fourier1[0], data_disc_fourier1[1], ':bo')
- axes[1, 0].plot(data_disc_fourier10[0], data_disc_fourier10[1], ':b^')
- axes[1, 0].plot(data_disc_real_s[0], data_disc_real_s[1], '--rs')
- axes[1, 0].plot(data_disc_real_d[0], data_disc_real_d[1], '--ro')
- axes[1, 0].set_xlabel('a [nm]', fontsize=15)
- axes[1, 0].set_ylabel('RMS [mrad]', fontsize=15)
- axes[1, 0].set_xlim(-0.5, 16.5)
- axes[1, 0].tick_params(axis='both', which='major', labelsize=14)
- axes[1, 0].xaxis.set_major_locator(IndexLocator(base=4, offset=-0.5))
+ print '--SHELVE METHOD DATA'
+ data_shelve[key] = (data_disc_fourier0, data_vort_fourier0,
+ data_disc_fourier1, data_vort_fourier1,
+ data_disc_fourier10, data_vort_fourier10,
+ data_disc_real_s, data_vort_real_s,
+ data_disc_real_d, data_vort_real_d)
- # Plot RMS against a (disc) [bottom/left]:
- plt.tick_params(axis='both', which='major', labelsize=14)
- axes[0, 0].set_yscale('log')
- axes[0, 0].plot(data_disc_fourier0[0], data_disc_fourier0[2], ':bs')
- axes[0, 0].plot(data_disc_fourier1[0], data_disc_fourier1[2], ':bo')
- axes[0, 0].plot(data_disc_fourier10[0], data_disc_fourier10[2], ':b^')
- axes[0, 0].plot(data_disc_real_s[0], data_disc_real_s[2], '--rs')
- axes[0, 0].plot(data_disc_real_d[0], data_disc_real_d[2], '--ro')
- axes[0, 0].set_title('Homog. magn. disc', fontsize=18)
- axes[0, 0].set_ylabel('duration [s]', fontsize=15)
- axes[0, 0].set_xlim(-0.5, 16.5)
- axes[0, 0].tick_params(axis='both', which='major', labelsize=14)
- axes[0, 0].xaxis.set_major_locator(IndexLocator(base=4, offset=-0.5))
+print '--PLOT/SAVE METHOD DATA'
- # Plot duration against a (vortex) [top/right]:
- axes[1, 1].set_yscale('log')
- axes[1, 1].plot(data_vort_fourier0[0], data_vort_fourier0[1], ':bs')
- axes[1, 1].plot(data_vort_fourier1[0], data_vort_fourier1[1], ':bo')
- axes[1, 1].plot(data_vort_fourier10[0], data_vort_fourier10[1], ':b^')
- axes[1, 1].plot(data_vort_real_s[0], data_vort_real_s[1], '--rs')
- axes[1, 1].plot(data_vort_real_d[0], data_vort_real_d[1], '--ro')
- axes[1, 1].set_xlabel('a [nm]', fontsize=15)
- axes[1, 1].set_xlim(-0.5, 16.5)
- axes[1, 1].tick_params(axis='both', which='major', labelsize=14)
- axes[1, 1].xaxis.set_major_locator(IndexLocator(base=4, offset=-0.5))
+# Plot using shared rows and colums:
+fig, axes = plt.subplots(2, 2, sharex='col', sharey='row', figsize=(12, 8))
+fig.tight_layout(rect=(0.05, 0.05, 0.95, 0.95))
+fig.suptitle('Method Comparison', fontsize=20)
- # Plot RMS against a (vortex) [bottom/right]:
- axes[0, 1].set_yscale('log')
- axes[0, 1].plot(data_vort_fourier0[0], data_vort_fourier0[2], ':bs',
- label='Fourier padding=0')
- axes[0, 1].plot(data_vort_fourier1[0], data_vort_fourier1[2], ':bo',
- label='Fourier padding=1')
- axes[0, 1].plot(data_vort_fourier10[0], data_vort_fourier10[2], ':b^',
- label='Fourier padding=10')
- axes[0, 1].plot(data_vort_real_s[0], data_vort_real_s[2], '--rs',
- label='Real space (slab)')
- axes[0, 1].plot(data_vort_real_d[0], data_vort_real_d[2], '--ro',
- label='Real space (disc)')
- axes[0, 1].set_title('Vortex state disc', fontsize=18)
- axes[0, 1].set_xlim(-0.5, 16.5)
- axes[0, 1].tick_params(axis='both', which='major', labelsize=14)
- axes[0, 1].xaxis.set_major_locator(IndexLocator(base=4, offset=-0.5))
- axes[0, 1].legend(loc=1)
+# Plot duration against a (disc) [top/left]:
+axes[1, 0].set_yscale('log')
+axes[1, 0].plot(data_disc_fourier0[0], data_disc_fourier0[1], ':bs')
+axes[1, 0].plot(data_disc_fourier1[0], data_disc_fourier1[1], ':bo')
+axes[1, 0].plot(data_disc_fourier10[0], data_disc_fourier10[1], ':b^')
+axes[1, 0].plot(data_disc_real_s[0], data_disc_real_s[1], '--rs')
+axes[1, 0].plot(data_disc_real_d[0], data_disc_real_d[1], '--ro')
+axes[1, 0].set_xlabel('a [nm]', fontsize=15)
+axes[1, 0].set_ylabel('RMS [mrad]', fontsize=15)
+axes[1, 0].set_xlim(-0.5, 16.5)
+axes[1, 0].tick_params(axis='both', which='major', labelsize=14)
+axes[1, 0].xaxis.set_major_locator(IndexLocator(base=4, offset=-0.5))
- # Save figure as .png:
- plt.show()
- plt.figtext(0.45, 0.85, 'a)', fontsize=30)
- plt.figtext(0.57, 0.85, 'b)', fontsize=30)
- plt.figtext(0.45, 0.15, 'c)', fontsize=30)
- plt.figtext(0.57, 0.15, 'd)', fontsize=30)
- plt.savefig(directory + '/ch5-3-method comparison.png', bbox_inches='tight')
+# Plot RMS against a (disc) [bottom/left]:
+plt.tick_params(axis='both', which='major', labelsize=14)
+axes[0, 0].set_yscale('log')
+axes[0, 0].plot(data_disc_fourier0[0], data_disc_fourier0[2], ':bs')
+axes[0, 0].plot(data_disc_fourier1[0], data_disc_fourier1[2], ':bo')
+axes[0, 0].plot(data_disc_fourier10[0], data_disc_fourier10[2], ':b^')
+axes[0, 0].plot(data_disc_real_s[0], data_disc_real_s[2], '--rs')
+axes[0, 0].plot(data_disc_real_d[0], data_disc_real_d[2], '--ro')
+axes[0, 0].set_title('Homog. magn. disc', fontsize=18)
+axes[0, 0].set_ylabel('duration [s]', fontsize=15)
+axes[0, 0].set_xlim(-0.5, 16.5)
+axes[0, 0].tick_params(axis='both', which='major', labelsize=14)
+axes[0, 0].xaxis.set_major_locator(IndexLocator(base=4, offset=-0.5))
- ###############################################################################################
- print 'CLOSING SHELVE\n'
- # Close shelve:
- data_shelve.close()
+# Plot duration against a (vortex) [top/right]:
+axes[1, 1].set_yscale('log')
+axes[1, 1].plot(data_vort_fourier0[0], data_vort_fourier0[1], ':bs')
+axes[1, 1].plot(data_vort_fourier1[0], data_vort_fourier1[1], ':bo')
+axes[1, 1].plot(data_vort_fourier10[0], data_vort_fourier10[1], ':b^')
+axes[1, 1].plot(data_vort_real_s[0], data_vort_real_s[1], '--rs')
+axes[1, 1].plot(data_vort_real_d[0], data_vort_real_d[1], '--ro')
+axes[1, 1].set_xlabel('a [nm]', fontsize=15)
+axes[1, 1].set_xlim(-0.5, 16.5)
+axes[1, 1].tick_params(axis='both', which='major', labelsize=14)
+axes[1, 1].xaxis.set_major_locator(IndexLocator(base=4, offset=-0.5))
- ###############################################################################################
+# Plot RMS against a (vortex) [bottom/right]:
+axes[0, 1].set_yscale('log')
+axes[0, 1].plot(data_vort_fourier0[0], data_vort_fourier0[2], ':bs',
+ label='Fourier padding=0')
+axes[0, 1].plot(data_vort_fourier1[0], data_vort_fourier1[2], ':bo',
+ label='Fourier padding=1')
+axes[0, 1].plot(data_vort_fourier10[0], data_vort_fourier10[2], ':b^',
+ label='Fourier padding=10')
+axes[0, 1].plot(data_vort_real_s[0], data_vort_real_s[2], '--rs',
+ label='Real space (slab)')
+axes[0, 1].plot(data_vort_real_d[0], data_vort_real_d[2], '--ro',
+ label='Real space (disc)')
+axes[0, 1].set_title('Vortex state disc', fontsize=18)
+axes[0, 1].set_xlim(-0.5, 16.5)
+axes[0, 1].tick_params(axis='both', which='major', labelsize=14)
+axes[0, 1].xaxis.set_major_locator(IndexLocator(base=4, offset=-0.5))
+axes[0, 1].legend(loc=1)
+# Save figure as .png:
+plt.show()
+plt.figtext(0.45, 0.85, 'a)', fontsize=30)
+plt.figtext(0.57, 0.85, 'b)', fontsize=30)
+plt.figtext(0.45, 0.15, 'c)', fontsize=30)
+plt.figtext(0.57, 0.15, 'd)', fontsize=30)
+plt.savefig(directory + '/ch5-3-method comparison.png', bbox_inches='tight')
-if __name__ == "__main__":
- try:
- run()
- except:
- type, value, tb = sys.exc_info()
- traceback.print_exc()
- pdb.post_mortem(tb)
+###############################################################################################
+print 'CLOSING SHELVE\n'
+# Close shelve:
+data_shelve.close()
diff --git a/scripts/paper 1/ch5-4-comparison_of_methods_new.py b/scripts/paper 1/ch5-4-comparison_of_methods_new.py
index 6be62fc..735db86 100644
--- a/scripts/paper 1/ch5-4-comparison_of_methods_new.py
+++ b/scripts/paper 1/ch5-4-comparison_of_methods_new.py
@@ -8,9 +8,6 @@ Created on Fri Jul 26 14:37:30 2013
import time
-import pdb
-import traceback
-import sys
import os
import numpy as np
@@ -20,284 +17,272 @@ import matplotlib.pyplot as plt
from matplotlib.ticker import NullLocator, LogLocator, LogFormatter
import pyramid.magcreator as mc
-import pyramid.projector as pj
-import pyramid.phasemapper as pm
import pyramid.analytic as an
from pyramid.magdata import MagData
-from pyramid.kernel import Kernel
+from pyramid.projector import SimpleProjector
+from pyramid.phasemapper import PMConvolve, PMFourier
+
import shelve
-def run():
+force_calculation = False
- print '\nACCESS SHELVE'
- # Create / Open databank:
- directory = '../../output/paper 1'
- if not os.path.exists(directory):
- os.makedirs(directory)
- data_shelve = shelve.open(directory + '/paper_1_shelve')
- ###############################################################################################
- print 'CH5-4 METHOD COMPARISON'
+print '\nACCESS SHELVE'
+# Create / Open databank:
+directory = '../../output/paper 1'
+if not os.path.exists(directory):
+ os.makedirs(directory)
+data_shelve = shelve.open(directory + '/paper_1_shelve')
- key = 'ch5-4-method_comparison_new'
- if key in data_shelve:
- print '--LOAD METHOD DATA'
- (data_disc_fourier0, data_vort_fourier0,
- data_disc_fourier3, data_vort_fourier3,
- data_disc_fourier10, data_vort_fourier10,
- data_disc_real_s, data_vort_real_s,
- data_disc_real_d, data_vort_real_d) = data_shelve[key]
- else:
- # Input parameters:
- steps = 5
- a = 0.25 # in nm
- phi = pi/2
- dim = (64, 512, 512) # in px (z, y, x)
- center = (dim[0]/2-0.5, dim[1]/2.-0.5, dim[2]/2.-0.5) # in px (z, y, x) index starts at 0!
- radius = dim[1]/4 # in px
- height = dim[0]/2 # in px
+###############################################################################################
+print 'CH5-4 METHOD COMPARISON'
- print '--CREATE MAGNETIC SHAPE'
- mag_shape = mc.Shapes.disc(dim, center, radius, height)
- # Create MagData (4 times the size):
- print '--CREATE MAG. DIST. HOMOG. MAGN. DISC'
- mag_data_disc = MagData(a, mc.create_mag_dist_homog(mag_shape, phi))
- print '--CREATE MAG. DIST. VORTEX STATE DISC'
- mag_data_vort = MagData(a, mc.create_mag_dist_vortex(mag_shape, center))
+key = 'ch5-4-method_comparison_new'
+if key in data_shelve and not force_calculation:
+ print '--LOAD METHOD DATA'
+ (data_disc_fourier0, data_vort_fourier0,
+ data_disc_fourier3, data_vort_fourier3,
+ data_disc_fourier10, data_vort_fourier10,
+ data_disc_real_s, data_vort_real_s,
+ data_disc_real_d, data_vort_real_d) = data_shelve[key]
+else:
+ # Input parameters:
+ steps = 4
+ a = 0.5 # in nm
+ phi = pi/2
+ dim = (32, 256, 256) # in px (z, y, x)
+ center = (dim[0]/2-0.5, dim[1]/2.-0.5, dim[2]/2.-0.5) # in px (z, y, x) index starts at 0!
+ radius = dim[1]/4 # in px
+ height = dim[0]/2 # in px
- # Create Data Arrays:
- dim_list = [dim[2]/2**i for i in np.linspace(1, steps, steps)]
- data_disc_fourier0 = np.vstack((dim_list, np.zeros((2, steps))))
- data_vort_fourier0 = np.vstack((dim_list, np.zeros((2, steps))))
- data_disc_fourier3 = np.vstack((dim_list, np.zeros((2, steps))))
- data_vort_fourier3 = np.vstack((dim_list, np.zeros((2, steps))))
- data_disc_fourier10 = np.vstack((dim_list, np.zeros((2, steps))))
- data_vort_fourier10 = np.vstack((dim_list, np.zeros((2, steps))))
- data_disc_real_s = np.vstack((dim_list, np.zeros((2, steps))))
- data_vort_real_s = np.vstack((dim_list, np.zeros((2, steps))))
- data_disc_real_d = np.vstack((dim_list, np.zeros((2, steps))))
- data_vort_real_d = np.vstack((dim_list, np.zeros((2, steps))))
+ print '--CREATE MAGNETIC SHAPE'
+ mag_shape = mc.Shapes.disc(dim, center, radius, height)
+ # Create MagData (4 times the size):
+ print '--CREATE MAG. DIST. HOMOG. MAGN. DISC'
+ mag_data_disc = MagData(a, mc.create_mag_dist_homog(mag_shape, phi))
+ print '--CREATE MAG. DIST. VORTEX STATE DISC'
+ mag_data_vort = MagData(a, mc.create_mag_dist_vortex(mag_shape, center))
- for i in range(steps):
- # Scale mag_data, grid spacing and dimensions:
- mag_data_disc.scale_down()
- mag_data_vort.scale_down()
- dim = mag_data_disc.dim
- a = mag_data_disc.a
- center = (dim[0]/2-0.5, dim[1]/2.-0.5, dim[2]/2.-0.5) # in px, index starts at 0!
- radius = dim[1]/4 # in px
- height = dim[0]/2 # in px
+ # Create Data Arrays:
+ dim_list = [dim[2]/2**i for i in range(steps)]
+ data_disc_fourier0 = np.vstack((dim_list, np.zeros((2, steps))))
+ data_vort_fourier0 = np.vstack((dim_list, np.zeros((2, steps))))
+ data_disc_fourier3 = np.vstack((dim_list, np.zeros((2, steps))))
+ data_vort_fourier3 = np.vstack((dim_list, np.zeros((2, steps))))
+ data_disc_fourier10 = np.vstack((dim_list, np.zeros((2, steps))))
+ data_vort_fourier10 = np.vstack((dim_list, np.zeros((2, steps))))
+ data_disc_real_s = np.vstack((dim_list, np.zeros((2, steps))))
+ data_vort_real_s = np.vstack((dim_list, np.zeros((2, steps))))
+ data_disc_real_d = np.vstack((dim_list, np.zeros((2, steps))))
+ data_vort_real_d = np.vstack((dim_list, np.zeros((2, steps))))
- print '--a =', a, 'nm', 'dim =', dim
+ for i in range(steps):
+ # Scale mag_data, grid spacing and dimensions:
+ dim = mag_data_disc.dim
+ a = mag_data_disc.a
+ center = (dim[0]/2-0.5, dim[1]/2.-0.5, dim[2]/2.-0.5) # in px, index starts at 0!
+ radius = dim[1]/4 # in px
+ height = dim[0]/2 # in px
- print '----CALCULATE RMS/DURATION HOMOG. MAGN. DISC'
- # Create projections along z-axis:
- projection_disc = pj.simple_axis_projection(mag_data_disc)
- # Analytic solution:
- phase_ana_disc = an.phase_mag_disc(dim, a, phi, center, radius, height)
- # Fourier unpadded:
- padding = 0
- start_time = time.clock()
- phase_num_disc = pm.phase_mag_fourier(a, projection_disc, padding=padding)
- data_disc_fourier0[2, i] = time.clock() - start_time
- print '------time (disc, fourier0) =', data_disc_fourier0[2, i]
- phase_diff_disc = (phase_ana_disc-phase_num_disc) * 1E3 # in mrad -> *1000
- data_disc_fourier0[1, i] = np.sqrt(np.mean(phase_diff_disc**2))
- # Fourier padding 3:
- padding = 3
- start_time = time.clock()
- phase_num_disc = pm.phase_mag_fourier(a, projection_disc, padding=padding)
- data_disc_fourier3[2, i] = time.clock() - start_time
- print '------time (disc, fourier3) =', data_disc_fourier3[2, i]
- phase_diff_disc = (phase_ana_disc-phase_num_disc) * 1E3 # in mrad -> *1000
- data_disc_fourier3[1, i] = np.sqrt(np.mean(phase_diff_disc**2))
- # Fourier padding 10:
- padding = 10
- start_time = time.clock()
- phase_num_disc = pm.phase_mag_fourier(a, projection_disc, padding=padding)
- data_disc_fourier10[2, i] = time.clock() - start_time
- print '------time (disc, fourier10) =', data_disc_fourier10[2, i]
- phase_diff_disc = (phase_ana_disc-phase_num_disc) * 1E3 # in mrad -> *1000
- data_disc_fourier10[1, i] = np.sqrt(np.mean(phase_diff_disc**2))
- # Real space slab:
- kernel = Kernel((dim[1], dim[2]), a, geometry='slab')
- start_time = time.clock()
- phase_num_disc = pm.phase_mag(a, projection_disc, kernel=kernel)
- data_disc_real_s[2, i] = time.clock() - start_time
- print '------time (disc, real slab) =', data_disc_real_s[2, i]
- phase_diff_disc = (phase_ana_disc-phase_num_disc) * 1E3 # in mrad -> *1000
- data_disc_real_s[1, i] = np.sqrt(np.mean(phase_diff_disc**2))
- # Real space disc:
- kernel = Kernel((dim[1], dim[2]), a, geometry='slab')
- start_time = time.clock()
- phase_num_disc = pm.phase_mag(a, projection_disc, kernel=kernel)
- data_disc_real_d[2, i] = time.clock() - start_time
- print '------time (disc, real disc) =', data_disc_real_d[2, i]
- phase_diff_disc = (phase_ana_disc-phase_num_disc) * 1E3 # in mrad -> *1000
- data_disc_real_d[1, i] = np.sqrt(np.mean(phase_diff_disc**2))
+ print '--a =', a, 'nm', 'dim =', dim
+
+ # Create projector along z-axis and phasemapper:
+ projector = SimpleProjector(dim)
+ pm_fourier0 = PMFourier(a, projector, padding=0)
+ pm_fourier3 = PMFourier(a, projector, padding=3)
+ pm_fourier10 = PMFourier(a, projector, padding=10)
+ pm_slab = PMConvolve(a, projector, geometry='slab')
+ pm_disc = PMConvolve(a, projector, geometry='disc')
- print '----CALCULATE RMS/DURATION HOMOG. MAGN. DISC'
- # Create projections along z-axis:
- projection_vort = pj.simple_axis_projection(mag_data_vort)
- # Analytic solution:
- phase_ana_vort = an.phase_mag_vortex(dim, a, center, radius, height)
- # Fourier unpadded:
- padding = 0
- start_time = time.clock()
- phase_num_vort = pm.phase_mag_fourier(a, projection_vort, padding=padding)
- data_vort_fourier0[2, i] = time.clock() - start_time
- print '------time (vortex, fourier0) =', data_vort_fourier0[2, i]
- phase_diff_vort = (phase_ana_vort-phase_num_vort) * 1E3 # in mrad -> *1000
- data_vort_fourier0[1, i] = np.sqrt(np.mean(phase_diff_vort**2))
- # Fourier padding 3:
- padding = 3
- start_time = time.clock()
- phase_num_vort = pm.phase_mag_fourier(a, projection_vort, padding=padding)
- data_vort_fourier3[2, i] = time.clock() - start_time
- print '------time (vortex, fourier3) =', data_vort_fourier3[2, i]
- phase_diff_vort = (phase_ana_vort-phase_num_vort) * 1E3 # in mrad -> *1000
- data_vort_fourier3[1, i] = np.sqrt(np.mean(phase_diff_vort**2))
- # Fourier padding 10:
- padding = 10
- start_time = time.clock()
- phase_num_vort = pm.phase_mag_fourier(a, projection_vort, padding=padding)
- data_vort_fourier10[2, i] = time.clock() - start_time
- print '------time (vortex, fourier10) =', data_vort_fourier10[2, i]
- phase_diff_vort = (phase_ana_vort-phase_num_vort) * 1E3 # in mrad -> *1000
- data_vort_fourier10[1, i] = np.sqrt(np.mean(phase_diff_vort**2))
- # Real space slab:
- kernel = Kernel((dim[1], dim[2]), a, geometry='slab')
- start_time = time.clock()
- phase_num_vort = pm.phase_mag(a, projection_vort, kernel=kernel)
- data_vort_real_s[2, i] = time.clock() - start_time
- print '------time (vortex, real slab) =', data_vort_real_s[2, i]
- phase_diff_vort = (phase_ana_vort-phase_num_vort) * 1E3 # in mrad -> *1000
- data_vort_real_s[1, i] = np.sqrt(np.mean(phase_diff_vort**2))
- # Real space disc:
- kernel = Kernel((dim[1], dim[2]), a, geometry='disc')
- start_time = time.clock()
- phase_num_vort = pm.phase_mag(a, projection_vort, kernel=kernel)
- data_vort_real_d[2, i] = time.clock() - start_time
- print '------time (vortex, real disc) =', data_vort_real_d[2, i]
- phase_diff_vort = (phase_ana_vort-phase_num_vort) * 1E3 # in mrad -> *1000
- data_vort_real_d[1, i] = np.sqrt(np.mean(phase_diff_vort**2))
+ print '----CALCULATE RMS/DURATION HOMOG. MAGN. DISC'
+ # Analytic solution:
+ phase_ana_disc = an.phase_mag_disc(dim, a, phi, center, radius, height)
+ # Fourier unpadded:
+ start_time = time.clock()
+ phase_num_disc = pm_fourier0(mag_data_disc)
+ data_disc_fourier0[2, i] = time.clock() - start_time
+ print '------time (disc, fourier0) =', data_disc_fourier0[2, i]
+ phase_diff_disc = (phase_ana_disc-phase_num_disc) * 1E3 # in mrad -> *1000
+ data_disc_fourier0[1, i] = np.sqrt(np.mean(phase_diff_disc.phase**2))
+ # Fourier padding 3:
+ start_time = time.clock()
+ phase_num_disc = pm_fourier3(mag_data_disc)
+ data_disc_fourier3[2, i] = time.clock() - start_time
+ print '------time (disc, fourier3) =', data_disc_fourier3[2, i]
+ phase_diff_disc = (phase_ana_disc-phase_num_disc) * 1E3 # in mrad -> *1000
+ data_disc_fourier3[1, i] = np.sqrt(np.mean(phase_diff_disc.phase**2))
+ # Fourier padding 10:
+ start_time = time.clock()
+ phase_num_disc = pm_fourier10(mag_data_disc)
+ data_disc_fourier10[2, i] = time.clock() - start_time
+ print '------time (disc, fourier10) =', data_disc_fourier10[2, i]
+ phase_diff_disc = (phase_ana_disc-phase_num_disc) * 1E3 # in mrad -> *1000
+ data_disc_fourier10[1, i] = np.sqrt(np.mean(phase_diff_disc.phase**2))
+ # Real space slab:
+ start_time = time.clock()
+ phase_num_disc = pm_slab(mag_data_disc)
+ data_disc_real_s[2, i] = time.clock() - start_time
+ print '------time (disc, real slab) =', data_disc_real_s[2, i]
+ phase_diff_disc = (phase_ana_disc-phase_num_disc) * 1E3 # in mrad -> *1000
+ data_disc_real_s[1, i] = np.sqrt(np.mean(phase_diff_disc.phase**2))
+ # Real space disc:
+ start_time = time.clock()
+ phase_num_disc = pm_disc(mag_data_disc)
+ data_disc_real_d[2, i] = time.clock() - start_time
+ print '------time (disc, real disc) =', data_disc_real_d[2, i]
+ phase_diff_disc = (phase_ana_disc-phase_num_disc) * 1E3 # in mrad -> *1000
+ data_disc_real_d[1, i] = np.sqrt(np.mean(phase_diff_disc.phase**2))
- print '--SHELVE METHOD DATA'
- data_shelve[key] = (data_disc_fourier0, data_vort_fourier0,
- data_disc_fourier3, data_vort_fourier3,
- data_disc_fourier10, data_vort_fourier10,
- data_disc_real_s, data_vort_real_s,
- data_disc_real_d, data_vort_real_d)
+ print '----CALCULATE RMS/DURATION HOMOG. MAGN. DISC'
+ # Analytic solution:
+ phase_ana_vort = an.phase_mag_vortex(dim, a, center, radius, height)
+ # Fourier unpadded:
+ start_time = time.clock()
+ phase_num_vort = pm_fourier0(mag_data_vort)
+ data_vort_fourier0[2, i] = time.clock() - start_time
+ print '------time (vortex, fourier0) =', data_vort_fourier0[2, i]
+ phase_diff_vort = (phase_ana_vort-phase_num_vort) * 1E3 # in mrad -> *1000
+ data_vort_fourier0[1, i] = np.sqrt(np.mean(phase_diff_vort.phase**2))
+ # Fourier padding 3:
+ start_time = time.clock()
+ phase_num_vort = pm_fourier3(mag_data_vort)
+ data_vort_fourier3[2, i] = time.clock() - start_time
+ print '------time (vortex, fourier3) =', data_vort_fourier3[2, i]
+ phase_diff_vort = (phase_ana_vort-phase_num_vort) * 1E3 # in mrad -> *1000
+ data_vort_fourier3[1, i] = np.sqrt(np.mean(phase_diff_vort.phase**2))
+ # Fourier padding 10:
+ start_time = time.clock()
+ phase_num_vort = pm_fourier10(mag_data_vort)
+ data_vort_fourier10[2, i] = time.clock() - start_time
+ print '------time (vortex, fourier10) =', data_vort_fourier10[2, i]
+ phase_diff_vort = (phase_ana_vort-phase_num_vort) * 1E3 # in mrad -> *1000
+ data_vort_fourier10[1, i] = np.sqrt(np.mean(phase_diff_vort.phase**2))
+ # Real space slab:
+ start_time = time.clock()
+ phase_num_vort = pm_slab(mag_data_vort)
+ data_vort_real_s[2, i] = time.clock() - start_time
+ print '------time (vortex, real slab) =', data_vort_real_s[2, i]
+ phase_diff_vort = (phase_ana_vort-phase_num_vort) * 1E3 # in mrad -> *1000
+ data_vort_real_s[1, i] = np.sqrt(np.mean(phase_diff_vort.phase**2))
+ # Real space disc:
+ start_time = time.clock()
+ phase_num_vort = pm_disc(mag_data_vort)
+ data_vort_real_d[2, i] = time.clock() - start_time
+ print '------time (vortex, real disc) =', data_vort_real_d[2, i]
+ phase_diff_vort = (phase_ana_vort-phase_num_vort) * 1E3 # in mrad -> *1000
+ data_vort_real_d[1, i] = np.sqrt(np.mean(phase_diff_vort.phase**2))
- print '--PLOT/SAVE METHOD DATA'
+ # Scale down for next iteration:
+ mag_data_disc.scale_down()
+ mag_data_vort.scale_down()
- # Plot using shared rows and colums:
- fig, axes = plt.subplots(2, 2, sharex='col', sharey='row', figsize=(12, 8))
- fig.tight_layout(rect=(0.05, 0.05, 0.95, 0.95))
- fig.suptitle('Method Comparison', fontsize=20)
+ print '--SHELVE METHOD DATA'
+ data_shelve[key] = (data_disc_fourier0, data_vort_fourier0,
+ data_disc_fourier3, data_vort_fourier3,
+ data_disc_fourier10, data_vort_fourier10,
+ data_disc_real_s, data_vort_real_s,
+ data_disc_real_d, data_vort_real_d)
- # Plot duration against a (disc) [top/left]:
- axes[1, 0].set_xscale('log')
- axes[1, 0].set_yscale('log')
- axes[1, 0].plot(data_disc_fourier0[0], data_disc_fourier0[1], ':bs')
- axes[1, 0].plot(data_disc_fourier3[0], data_disc_fourier3[1], ':bo')
- axes[1, 0].plot(data_disc_fourier10[0], data_disc_fourier10[1], ':b^')
- axes[1, 0].plot(data_disc_real_s[0], data_disc_real_s[1], '--rs')
- axes[1, 0].plot(data_disc_real_d[0], data_disc_real_d[1], '--ro')
- axes[1, 0].set_xlabel('grid size [px]', fontsize=15)
- axes[1, 0].set_ylabel('RMS [mrad]', fontsize=15)
- axes[1, 0].set_xlim(12, 350)
- axes[1, 0].tick_params(axis='both', which='major', labelsize=14)
- axes[1, 0].xaxis.set_major_locator(LogLocator(base=2))
- axes[1, 0].xaxis.set_major_formatter(LogFormatter(base=2))
- axes[1, 0].xaxis.set_minor_locator(NullLocator())
- axes[1, 0].grid()
+print '--PLOT/SAVE METHOD DATA'
- # Plot RMS against a (disc) [bottom/left]:
- plt.tick_params(axis='both', which='major', labelsize=14)
- axes[0, 0].set_xscale('log')
- axes[0, 0].set_yscale('log')
- axes[0, 0].plot(data_disc_fourier0[0], data_disc_fourier0[2], ':bs')
- axes[0, 0].plot(data_disc_fourier3[0], data_disc_fourier3[2], ':bo')
- axes[0, 0].plot(data_disc_fourier10[0], data_disc_fourier10[2], ':b^')
- axes[0, 0].plot(data_disc_real_s[0], data_disc_real_s[2], '--rs')
- axes[0, 0].plot(data_disc_real_d[0], data_disc_real_d[2], '--ro')
- axes[0, 0].set_title('Homog. magn. disc', fontsize=18)
- axes[0, 0].set_ylabel('duration [s]', fontsize=15)
- axes[0, 0].set_xlim(12, 350)
- axes[0, 0].tick_params(axis='both', which='major', labelsize=14)
- axes[0, 0].xaxis.set_major_locator(LogLocator(base=2))
- axes[0, 0].xaxis.set_major_formatter(LogFormatter(base=2))
- axes[0, 0].xaxis.set_minor_locator(NullLocator())
- axes[0, 0].grid()
+# Plot using shared rows and colums:
+fig, axes = plt.subplots(2, 2, sharex='col', sharey='row', figsize=(12, 8))
+fig.tight_layout(rect=(0.05, 0.05, 0.95, 0.95))
+fig.suptitle('Method Comparison', fontsize=20)
- # Plot duration against a (vortex) [top/right]:
- axes[1, 1].set_xscale('log')
- axes[1, 1].set_yscale('log')
- axes[1, 1].plot(data_vort_fourier0[0], data_vort_fourier0[1], ':bs',
- label='Fourier padding=0')
- axes[1, 1].plot(data_vort_fourier3[0], data_vort_fourier3[1], ':bo',
- label='Fourier padding=3')
- axes[1, 1].plot(data_vort_fourier10[0], data_vort_fourier10[1], ':b^',
- label='Fourier padding=10')
- axes[1, 1].plot(data_vort_real_s[0], data_vort_real_s[1], '--rs',
- label='Real space (slab)')
- axes[1, 1].plot(data_vort_real_d[0], data_vort_real_d[1], '--ro',
- label='Real space (disc)')
- axes[1, 1].set_xlabel('grid size [px]', fontsize=15)
- axes[1, 1].set_xlim(12, 350)
- axes[1, 1].tick_params(axis='both', which='major', labelsize=14)
- axes[1, 1].xaxis.set_major_locator(LogLocator(base=2))
- axes[1, 1].xaxis.set_major_formatter(LogFormatter(base=2))
- axes[1, 1].xaxis.set_minor_locator(NullLocator())
- axes[1, 1].grid()
+# Plot duration against a (disc) [top/left]:
+axes[1, 0].set_xscale('log')
+axes[1, 0].set_yscale('log')
+axes[1, 0].plot(data_disc_fourier0[0], data_disc_fourier0[1], ':bs')
+axes[1, 0].plot(data_disc_fourier3[0], data_disc_fourier3[1], ':bo')
+axes[1, 0].plot(data_disc_fourier10[0], data_disc_fourier10[1], ':b^')
+axes[1, 0].plot(data_disc_real_s[0], data_disc_real_s[1], '--rs')
+axes[1, 0].plot(data_disc_real_d[0], data_disc_real_d[1], '--ro')
+axes[1, 0].set_xlabel('grid size [px]', fontsize=15)
+axes[1, 0].set_ylabel('RMS [mrad]', fontsize=15)
+axes[1, 0].set_xlim(25, 350)
+axes[1, 0].tick_params(axis='both', which='major', labelsize=14)
+axes[1, 0].xaxis.set_major_locator(LogLocator(base=2))
+axes[1, 0].xaxis.set_major_formatter(LogFormatter(base=2))
+axes[1, 0].xaxis.set_minor_locator(NullLocator())
+axes[1, 0].grid()
- # Plot RMS against a (vortex) [bottom/right]:
- axes[0, 1].set_xscale('log')
- axes[0, 1].set_yscale('log')
- axes[0, 1].plot(data_vort_fourier0[0], data_vort_fourier0[2], ':bs',
- label='Fourier padding=0')
- axes[0, 1].plot(data_vort_fourier3[0], data_vort_fourier3[2], ':bo',
- label='Fourier padding=3')
- axes[0, 1].plot(data_vort_fourier10[0], data_vort_fourier10[2], ':b^',
- label='Fourier padding=10')
- axes[0, 1].plot(data_vort_real_s[0], data_vort_real_s[2], '--rs',
- label='Real space (slab)')
- axes[0, 1].plot(data_vort_real_d[0], data_vort_real_d[2], '--ro',
- label='Real space (disc)')
- axes[0, 1].set_title('Vortex state disc', fontsize=18)
- axes[0, 1].set_xlim(12, 350)
- axes[0, 1].tick_params(axis='both', which='major', labelsize=14)
- axes[0, 1].xaxis.set_major_locator(LogLocator(base=2))
- axes[0, 1].xaxis.set_major_formatter(LogFormatter(base=2))
- axes[0, 1].xaxis.set_minor_locator(NullLocator())
- axes[0, 1].grid()
+# Plot RMS against a (disc) [bottom/left]:
+plt.tick_params(axis='both', which='major', labelsize=14)
+axes[0, 0].set_xscale('log')
+axes[0, 0].set_yscale('log')
+axes[0, 0].plot(data_disc_fourier0[0], data_disc_fourier0[2], ':bs')
+axes[0, 0].plot(data_disc_fourier3[0], data_disc_fourier3[2], ':bo')
+axes[0, 0].plot(data_disc_fourier10[0], data_disc_fourier10[2], ':b^')
+axes[0, 0].plot(data_disc_real_s[0], data_disc_real_s[2], '--rs')
+axes[0, 0].plot(data_disc_real_d[0], data_disc_real_d[2], '--ro')
+axes[0, 0].set_title('Homog. magn. disc', fontsize=18)
+axes[0, 0].set_ylabel('duration [s]', fontsize=15)
+axes[0, 0].set_xlim(25, 350)
+axes[0, 0].tick_params(axis='both', which='major', labelsize=14)
+axes[0, 0].xaxis.set_major_locator(LogLocator(base=2))
+axes[0, 0].xaxis.set_major_formatter(LogFormatter(base=2))
+axes[0, 0].xaxis.set_minor_locator(NullLocator())
+axes[0, 0].grid()
- # Add legend:
- axes[1, 1].legend(bbox_to_anchor=(0, 0, 0.955, 0.615), bbox_transform=fig.transFigure,
- prop={'size':12})
+# Plot duration against a (vortex) [top/right]:
+axes[1, 1].set_xscale('log')
+axes[1, 1].set_yscale('log')
+axes[1, 1].plot(data_vort_fourier0[0], data_vort_fourier0[1], ':bs',
+ label='Fourier padding=0')
+axes[1, 1].plot(data_vort_fourier3[0], data_vort_fourier3[1], ':bo',
+ label='Fourier padding=3')
+axes[1, 1].plot(data_vort_fourier10[0], data_vort_fourier10[1], ':b^',
+ label='Fourier padding=10')
+axes[1, 1].plot(data_vort_real_s[0], data_vort_real_s[1], '--rs',
+ label='Real space (slab)')
+axes[1, 1].plot(data_vort_real_d[0], data_vort_real_d[1], '--ro',
+ label='Real space (disc)')
+axes[1, 1].set_xlabel('grid size [px]', fontsize=15)
+axes[1, 1].set_xlim(25, 350)
+axes[1, 1].tick_params(axis='both', which='major', labelsize=14)
+axes[1, 1].xaxis.set_major_locator(LogLocator(base=2))
+axes[1, 1].xaxis.set_major_formatter(LogFormatter(base=2))
+axes[1, 1].xaxis.set_minor_locator(NullLocator())
+axes[1, 1].grid()
- # Save figure as .png:
- plt.show()
- plt.figtext(0.12, 0.85, 'a)', fontsize=30)
- plt.figtext(0.57, 0.85, 'b)', fontsize=30)
- plt.figtext(0.12, 0.15, 'c)', fontsize=30)
- plt.figtext(0.57, 0.15, 'd)', fontsize=30)
- plt.savefig(directory + '/ch5-3-method comparison.png', bbox_inches='tight')
+# Plot RMS against a (vortex) [bottom/right]:
+axes[0, 1].set_xscale('log')
+axes[0, 1].set_yscale('log')
+axes[0, 1].plot(data_vort_fourier0[0], data_vort_fourier0[2], ':bs',
+ label='Fourier padding=0')
+axes[0, 1].plot(data_vort_fourier3[0], data_vort_fourier3[2], ':bo',
+ label='Fourier padding=3')
+axes[0, 1].plot(data_vort_fourier10[0], data_vort_fourier10[2], ':b^',
+ label='Fourier padding=10')
+axes[0, 1].plot(data_vort_real_s[0], data_vort_real_s[2], '--rs',
+ label='Real space (slab)')
+axes[0, 1].plot(data_vort_real_d[0], data_vort_real_d[2], '--ro',
+ label='Real space (disc)')
+axes[0, 1].set_title('Vortex state disc', fontsize=18)
+axes[0, 1].set_xlim(25, 350)
+axes[0, 1].tick_params(axis='both', which='major', labelsize=14)
+axes[0, 1].xaxis.set_major_locator(LogLocator(base=2))
+axes[0, 1].xaxis.set_major_formatter(LogFormatter(base=2))
+axes[0, 1].xaxis.set_minor_locator(NullLocator())
+axes[0, 1].grid()
- ###############################################################################################
- print 'CLOSING SHELVE\n'
- # Close shelve:
- data_shelve.close()
+# Add legend:
+axes[1, 1].legend(bbox_to_anchor=(0, 0, 0.955, 0.615), bbox_transform=fig.transFigure,
+ prop={'size':12})
- ###############################################################################################
+# Save figure as .png:
+plt.show()
+plt.figtext(0.12, 0.85, 'a)', fontsize=30)
+plt.figtext(0.57, 0.85, 'b)', fontsize=30)
+plt.figtext(0.12, 0.15, 'c)', fontsize=30)
+plt.figtext(0.57, 0.15, 'd)', fontsize=30)
+plt.savefig(directory + '/ch5-3-method comparison.png', bbox_inches='tight')
+###############################################################################################
+print 'CLOSING SHELVE\n'
+# Close shelve:
+data_shelve.close()
-if __name__ == "__main__":
- try:
- run()
- except:
- type, value, tb = sys.exc_info()
- traceback.print_exc()
- pdb.post_mortem(tb)
+###############################################################################################
diff --git a/scripts/paper 1/logfile.log b/scripts/paper 1/logfile.log
new file mode 100644
index 0000000..e8f8d21
--- /dev/null
+++ b/scripts/paper 1/logfile.log
@@ -0,0 +1,85 @@
+2014-02-08 20:46:32: INFO @ <pyramid.phasemap>: Calling make_color_wheel
+2014-02-08 20:46:43: INFO @ <pyramid.projector>: Calling __init__
+2014-02-08 20:46:43: INFO @ <pyramid.projector>: Calling __init__
+2014-02-08 20:46:43: INFO @ <pyramid.projector>: Created <pyramid.projector.SimpleProjector object at 0x0A8519F0>
+2014-02-08 20:46:43: INFO @ <pyramid.projector>: Created <pyramid.projector.SimpleProjector object at 0x0A8519F0>
+2014-02-08 20:46:43: INFO @ <pyramid.phasemap>: Calling __str__
+2014-02-08 20:46:43: INFO @ <pyramid.phasemap>: Created PhaseMap(a=1.0, dim=(128, 128))
+2014-02-08 20:46:43: INFO @ <pyramid.phasemap>: Calling __str__
+2014-02-08 20:46:43: INFO @ <pyramid.phasemap>: Created PhaseMap(a=1.0, dim=(128, 128))
+2014-02-08 20:46:43: INFO @ <pyramid.projector>: Calling as function
+2014-02-08 20:46:43: INFO @ <pyramid.projector>: mode == vector
+2014-02-08 20:46:43: INFO @ <pyramid.projector>: Calling _vector_field_projection
+2014-02-08 20:46:43: INFO @ <pyramid.phasemap>: Calling __str__
+2014-02-08 20:46:43: INFO @ <pyramid.phasemap>: Created PhaseMap(a=1.0, dim=(128, 128))
+2014-02-08 20:46:43: INFO @ <pyramid.phasemap>: Calling __sub__
+2014-02-08 20:46:43: INFO @ <pyramid.phasemap>: Calling __neg__
+2014-02-08 20:46:43: INFO @ <pyramid.phasemap>: Calling __str__
+2014-02-08 20:46:43: INFO @ <pyramid.phasemap>: Created PhaseMap(a=1.0, dim=(128, 128))
+2014-02-08 20:46:43: INFO @ <pyramid.phasemap>: Calling __add__
+2014-02-08 20:46:43: INFO @ <pyramid.phasemap>: Adding two PhaseMap objects
+2014-02-08 20:46:43: INFO @ <pyramid.phasemap>: Calling __str__
+2014-02-08 20:46:43: INFO @ <pyramid.phasemap>: Created PhaseMap(a=1.0, dim=(128, 128))
+2014-02-08 20:46:43: INFO @ <pyramid.phasemap>: Calling display_phase
+2014-02-08 20:46:43: INFO @ <pyramid.projector>: Calling as function
+2014-02-08 20:46:43: INFO @ <pyramid.projector>: mode == vector
+2014-02-08 20:46:43: INFO @ <pyramid.projector>: Calling _vector_field_projection
+2014-02-08 20:46:43: INFO @ <pyramid.phasemap>: Calling __str__
+2014-02-08 20:46:43: INFO @ <pyramid.phasemap>: Created PhaseMap(a=1.0, dim=(128, 128))
+2014-02-08 20:46:43: INFO @ <pyramid.phasemap>: Calling __sub__
+2014-02-08 20:46:43: INFO @ <pyramid.phasemap>: Calling __neg__
+2014-02-08 20:46:43: INFO @ <pyramid.phasemap>: Calling __str__
+2014-02-08 20:46:43: INFO @ <pyramid.phasemap>: Created PhaseMap(a=1.0, dim=(128, 128))
+2014-02-08 20:46:43: INFO @ <pyramid.phasemap>: Calling __add__
+2014-02-08 20:46:43: INFO @ <pyramid.phasemap>: Adding two PhaseMap objects
+2014-02-08 20:46:43: INFO @ <pyramid.phasemap>: Calling __str__
+2014-02-08 20:46:43: INFO @ <pyramid.phasemap>: Created PhaseMap(a=1.0, dim=(128, 128))
+2014-02-08 20:46:43: INFO @ <pyramid.phasemap>: Calling __isub__
+2014-02-08 20:46:43: INFO @ <pyramid.phasemap>: Calling __sub__
+2014-02-08 20:46:43: INFO @ <pyramid.phasemap>: Calling __add__
+2014-02-08 20:46:43: INFO @ <pyramid.phasemap>: Adding an offset
+2014-02-08 20:46:43: INFO @ <pyramid.phasemap>: Calling __str__
+2014-02-08 20:46:43: INFO @ <pyramid.phasemap>: Created PhaseMap(a=1.0, dim=(128, 128))
+2014-02-08 20:46:43: INFO @ <pyramid.phasemap>: Calling display_phase
+2014-02-08 20:46:44: INFO @ <pyramid.projector>: Calling as function
+2014-02-08 20:46:44: INFO @ <pyramid.projector>: mode == vector
+2014-02-08 20:46:44: INFO @ <pyramid.projector>: Calling _vector_field_projection
+2014-02-08 20:46:44: INFO @ <pyramid.phasemap>: Calling __str__
+2014-02-08 20:46:44: INFO @ <pyramid.phasemap>: Created PhaseMap(a=1.0, dim=(128, 128))
+2014-02-08 20:46:44: INFO @ <pyramid.phasemap>: Calling __sub__
+2014-02-08 20:46:44: INFO @ <pyramid.phasemap>: Calling __neg__
+2014-02-08 20:46:44: INFO @ <pyramid.phasemap>: Calling __str__
+2014-02-08 20:46:44: INFO @ <pyramid.phasemap>: Created PhaseMap(a=1.0, dim=(128, 128))
+2014-02-08 20:46:44: INFO @ <pyramid.phasemap>: Calling __add__
+2014-02-08 20:46:44: INFO @ <pyramid.phasemap>: Adding two PhaseMap objects
+2014-02-08 20:46:44: INFO @ <pyramid.phasemap>: Calling __str__
+2014-02-08 20:46:44: INFO @ <pyramid.phasemap>: Created PhaseMap(a=1.0, dim=(128, 128))
+2014-02-08 20:46:44: INFO @ <pyramid.phasemap>: Calling display_phase
+2014-02-08 20:46:45: INFO @ <pyramid.projector>: Calling as function
+2014-02-08 20:46:45: INFO @ <pyramid.projector>: mode == vector
+2014-02-08 20:46:45: INFO @ <pyramid.projector>: Calling _vector_field_projection
+2014-02-08 20:46:45: INFO @ <pyramid.phasemap>: Calling __str__
+2014-02-08 20:46:45: INFO @ <pyramid.phasemap>: Created PhaseMap(a=1.0, dim=(128, 128))
+2014-02-08 20:46:45: INFO @ <pyramid.phasemap>: Calling __sub__
+2014-02-08 20:46:45: INFO @ <pyramid.phasemap>: Calling __neg__
+2014-02-08 20:46:45: INFO @ <pyramid.phasemap>: Calling __str__
+2014-02-08 20:46:45: INFO @ <pyramid.phasemap>: Created PhaseMap(a=1.0, dim=(128, 128))
+2014-02-08 20:46:45: INFO @ <pyramid.phasemap>: Calling __add__
+2014-02-08 20:46:45: INFO @ <pyramid.phasemap>: Adding two PhaseMap objects
+2014-02-08 20:46:45: INFO @ <pyramid.phasemap>: Calling __str__
+2014-02-08 20:46:45: INFO @ <pyramid.phasemap>: Created PhaseMap(a=1.0, dim=(128, 128))
+2014-02-08 20:46:45: INFO @ <pyramid.phasemap>: Calling __isub__
+2014-02-08 20:46:45: INFO @ <pyramid.phasemap>: Calling __sub__
+2014-02-08 20:46:45: INFO @ <pyramid.phasemap>: Calling __add__
+2014-02-08 20:46:45: INFO @ <pyramid.phasemap>: Adding an offset
+2014-02-08 20:46:45: INFO @ <pyramid.phasemap>: Calling __str__
+2014-02-08 20:46:45: INFO @ <pyramid.phasemap>: Created PhaseMap(a=1.0, dim=(128, 128))
+2014-02-08 20:46:45: INFO @ <pyramid.phasemap>: Calling display_phase
+2014-02-08 20:46:47: INFO @ <pyramid.projector>: Calling __init__
+2014-02-08 20:46:47: INFO @ <pyramid.projector>: Calling __init__
+2014-02-08 20:46:47: INFO @ <pyramid.projector>: Created <pyramid.projector.SimpleProjector object at 0x0B117190>
+2014-02-08 20:46:47: INFO @ <pyramid.projector>: Created <pyramid.projector.SimpleProjector object at 0x0B117190>
+2014-02-08 20:46:47: INFO @ <pyramid.phasemap>: Calling __str__
+2014-02-08 20:46:47: INFO @ <pyramid.phasemap>: Created PhaseMap(a=1.0, dim=(128, 128))
+2014-02-08 20:46:47: INFO @ <pyramid.phasemap>: Calling __str__
+2014-02-08 20:46:47: INFO @ <pyramid.phasemap>: Created PhaseMap(a=1.0, dim=(128, 128))
diff --git a/scripts/simple_phasemapping.py b/scripts/simple_phasemapping.py
new file mode 100644
index 0000000..80c6737
--- /dev/null
+++ b/scripts/simple_phasemapping.py
@@ -0,0 +1,63 @@
+# -*- coding: utf-8 -*-
+"""
+Created on Fri Jan 17 14:06:01 2014
+
+@author: Jan
+"""
+
+
+from pyramid.magdata import MagData
+from pyramid.projector import SimpleProjector
+from pyramid.phasemapper import PMAdapterFM, PMConvolve, PMFourier, PMReal
+
+from time import clock
+
+#import cProfile
+
+
+mag_data = MagData.load_from_netcdf4('../output/vtk data/rect_500x125x3.nc')
+
+projector = SimpleProjector(mag_data.dim)
+
+start = clock()
+pm_adapter = PMAdapterFM(mag_data.a, projector)
+pm_convolve = PMConvolve(mag_data.a, projector)
+pm_fourier = PMFourier(mag_data.a, projector, padding=3)
+pm_real = PMReal(mag_data.a, projector)
+print 'Overhead :', clock()-start
+
+#cProfile.run('phasemapper(mag_data)')#, filename='../output/profile.profile')
+
+start = clock()
+pm_adapter(mag_data)
+print 'Adapter FM:', clock()-start
+start = clock()
+pm_convolve(mag_data)
+print 'Convolve :', clock()-start
+start = clock()
+pm_fourier(mag_data)
+print 'Fourier :', clock()-start
+start = clock()
+pm_real(mag_data)
+print 'Real :', clock()-start
+
+phase_map = pm_convolve(mag_data)
+
+(-phase_map).display_combined(density=16)
+
+
+
+
+
+##from xml.etree import ElementTree
+#from cProfile import Profile
+##xml_content = '<a>\n' + '\t<b/><c><d>text</d></c>\n' * 100 + '</a>'
+#profiler = Profile()
+##profiler.runctx("ElementTree.fromstring(xml_content)", locals(), globals())
+#profiler.run('phasemapper(mag_data)')
+#
+#import pyprof2calltree
+#from pyprof2calltree import convert, visualize
+#
+#pyprof2calltree.visualize(profiler.getstats()) # run kcachegrind
+#pyprof2calltree.convert(profiler.getstats(), 'profiling_results.kgrind') # save for later
\ No newline at end of file
diff --git a/scripts/vtk-interpolation.py b/scripts/vtk-interpolation.py
deleted file mode 100644
index 24bbaa6..0000000
--- a/scripts/vtk-interpolation.py
+++ /dev/null
@@ -1,61 +0,0 @@
-# -*- coding: utf-8 -*-
-"""
-Created on Tue Jan 14 10:06:42 2014
-
-@author: Jan
-"""
-
-import vtk
-
-reader = vtk.vtkDataSetReader()
-
-reader.SetFileName('test.vtk')
-
-reader.ReadAllScalarsOn()
-
-reader.Update()
-
-output = reader.GetOutput()
-scalar_range = output.GetScalarRange()
-
-# Create the mapper that corresponds the objects of the vtk file into graphics elements
-mapper = vtk.vtkDataSetMapper()
-mapper.SetInput(output)
-mapper.SetScalarRange(scalar_range)
-
-# Create the Actor
-actor = vtk.vtkActor()
-actor.SetMapper(mapper)
-
-# Create the Renderer
-renderer = vtk.vtkRenderer()
-renderer.AddActor(actor)
-renderer.SetBackground(1, 1, 1) # Set background to white
-
-# Create the RendererWindow
-renderer_window = vtk.vtkRenderWindow()
-renderer_window.AddRenderer(renderer)
-
-# Create the RendererWindowInteractor and display the vtk_file
-interactor = vtk.vtkRenderWindowInteractor()
-interactor.SetRenderWindow(renderer_window)
-interactor.Initialize()
-interactor.Start()
-
-
-
-
-
-print reader.GetHeader()
-
-print 'Points:', output.GetNumberOfPoints()
-print 'Cells: ', output.GetNumberOfCells()
-#print 'Polys: ', output.GetNumberOfPolys()
-#print 'Lines: ', output.GetNumberOfLines()
-#print 'Strips:', output.GetNumberOfStrips()
-#print 'Piece: ', output.GetNumberOfPiece()
-#print 'Verts: ', output.GetNumberOfVerts()
-
-points = output.GetPoints()
-
-print output.GetPoint(0)
diff --git a/scripts/vtk_conversion.py b/scripts/vtk_conversion.py
new file mode 100644
index 0000000..bbbb506
--- /dev/null
+++ b/scripts/vtk_conversion.py
@@ -0,0 +1,159 @@
+# -*- coding: utf-8 -*-
+"""
+Created on Fri Jan 24 11:17:11 2014
+
+@author: Jan
+"""
+
+
+import numpy as np
+import vtk
+import logging
+import os
+import sys
+import pickle
+from tqdm import tqdm
+from pyramid.magdata import MagData
+import matplotlib.pyplot as plt
+from pylab import griddata
+from pyramid.projector import SimpleProjector
+from pyramid.phasemapper import PMAdapterFM
+
+###################################################################################################
+PATH = '../output/vtk data/tube_90x30x50_sat_edge_equil.gmr'
+b_0 = 1.54
+gain = 12
+force_calculation = False
+###################################################################################################
+
+logging.basicConfig(level=logging.INFO, format='%(levelname)s: %(message)s', stream=sys.stdout)
+log = logging.getLogger(__name__)
+
+if force_calculation or not os.path.exists(PATH+'.pickle'):
+ log.info('Reading data from vtk-file')
+ # Setting up reader:
+ reader = vtk.vtkDataSetReader()
+ reader.SetFileName(PATH+'.vtk')
+ reader.ReadAllScalarsOn()
+ reader.ReadAllVectorsOn()
+ reader.Update()
+ # Getting output:
+ output = reader.GetOutput()
+ # Reading points and vectors:
+ size = output.GetNumberOfPoints()
+ vtk_points = output.GetPoints().GetData()
+ vtk_vectors = output.GetPointData().GetVectors()
+ # Converting points to numpy array:
+ point_array = np.zeros(vtk_points.GetSize())
+ vtk_points.ExportToVoidPointer(point_array)
+ point_array = np.reshape(point_array, (-1, 3))
+ # Converting vectors to numpy array:
+ vector_array = np.zeros(vtk_points.GetSize())
+ vtk_vectors.ExportToVoidPointer(vector_array)
+ vector_array = np.reshape(vector_array, (-1, 3))
+ # Combining data:
+ data = np.hstack((point_array, vector_array))
+ log.info('Data reading complete!')
+ log.info('Pickling data!')
+ with open(PATH+'.pickle', 'w') as pf:
+ pickle.dump(data, pf)
+ log.info('Pickling complete!')
+else:
+ log.info('Loading pickled data!')
+ with open(PATH+'.pickle') as pf:
+ data = pickle.load(pf)
+ log.info('Loading complete!')
+# Scatter plot of all x-y-coordinates
+axis = plt.figure().add_subplot(1, 1, 1)
+axis.scatter(data[:, 0], data[:, 1])
+plt.show()
+
+if force_calculation or not os.path.exists(PATH+'.nc'):
+ log.info('Arranging data in z-slices!')
+ # Find unique z-slices:
+ zs = np.unique(data[:, 2])
+ # Determine the grid spacing:
+ a = zs[1] - zs[0]
+ # Determine the size of object:
+ x_min, x_max = data[:, 0].min(), data[:, 0].max()
+ y_min, y_max = data[:, 1].min(), data[:, 1].max()
+ z_min, z_max = data[:, 2].min(), data[:, 2].max()
+ x_diff, y_diff, z_diff = np.ptp(data[:, 0]), np.ptp(data[:, 1]), np.ptp(data[:, 2])
+ x_cent, y_cent, z_cent = x_min+x_diff/2., y_min+y_diff/2., z_min+z_diff/2.
+ # Create regular grid
+ xs = np.arange(x_cent-x_diff, x_cent+x_diff, a) #linspace(-8.5*2, 8.5*2, 256)
+ ys = np.arange(y_cent-y_diff, y_cent+y_diff, a) #linspace(-9.5*2, 9.5*2, 256)
+ o, p = np.meshgrid(xs, ys)
+ # Create empty magnitude:
+ magnitude = np.zeros((3, len(zs), len(ys), len(xs)))
+
+ # WITH MASKING OF THE CENTER (SYMMETRIC):
+ iz_x = np.concatenate([np.linspace(-4.95, -4.95, 50),
+ np.linspace(-4.95, 0, 50),
+ np.linspace(0, 4.95, 50),
+ np.linspace(4.95, 4.95, 50),
+ np.linspace(-4.95, 0, 50),
+ np.linspace(0, 4.95, 50),])
+ iz_y = np.concatenate([np.linspace(-2.88, 2.88, 50),
+ np.linspace(2.88, 5.7, 50),
+ np.linspace(5.7, 2.88, 50),
+ np.linspace(2.88, -2.88, 50),
+ np.linspace(-2.88, -5.7, 50),
+ np.linspace(-5.7, -2.88, 50), ])
+ for i, z in tqdm(enumerate(zs), total=len(zs)):
+ subdata = data[data[:, 2] == z, :]
+ for j in range(3): # For all 3 components!
+ gridded_subdata = griddata(np.concatenate([subdata[:, 0], iz_x]),
+ np.concatenate([subdata[:, 1], iz_y]),
+ np.concatenate([subdata[:, 3 + j], np.zeros(len(iz_x))]),
+ o, p)
+ magnitude[j, i, :, :] = gridded_subdata.filled(fill_value=0)
+
+# # WITH MASKING OF THE CENTER (ASYMMETRIC):
+# iz_x = np.concatenate([np.linspace(-5.88, -5.88, 50),
+# np.linspace(-5.88, 0, 50),
+# np.linspace(0, 5.88, 50),
+# np.linspace(5.88, 5.88, 50),
+# np.linspace(5.88, 0, 50),
+# np.linspace(0, -5.88, 50),])
+# iz_y = np.concatenate([np.linspace(-2.10, 4.50, 50),
+# np.linspace(4.50, 7.90, 50),
+# np.linspace(7.90, 4.50, 50),
+# np.linspace(4.50, -2.10, 50),
+# np.linspace(-2.10, -5.50, 50),
+# np.linspace(-5.50, -2.10, 50), ])
+# for i, z in tqdm(enumerate(zs), total=len(zs)):
+# subdata = data[data[:, 2] == z, :]
+# for j in range(3): # For all 3 components!
+# gridded_subdata = griddata(np.concatenate([subdata[:, 0], iz_x]),
+# np.concatenate([subdata[:, 1], iz_y]),
+# np.concatenate([subdata[:, 3 + j], np.zeros(len(iz_x))]),
+# o, p)
+# magnitude[j, i, :, :] = gridded_subdata.filled(fill_value=0)
+
+# # WITHOUT MASKING OF THE CENTER:
+# for i, z in tqdm(enumerate(zs), total=len(zs)):
+# subdata = data[data[:, 2] == z, :]
+# for j in range(3): # For all 3 components!
+# gridded_subdata = griddata(subdata[:, 0], subdata[:, 1], subdata[:, 3 + j], o, p)
+# magnitude[j, i, :, :] = gridded_subdata.filled(fill_value=0)
+
+ # Creating MagData object:
+ mag_data = MagData(0.2*10, magnitude)
+ mag_data.save_to_netcdf4(PATH+'.nc')
+ log.info('MagData created!')
+else:
+ log.info('Loading MagData!')
+ mag_data = MagData.load_from_netcdf4(PATH+'.nc')
+ log.info('Loading complete!')
+mag_data.quiver_plot()
+
+projector = SimpleProjector(mag_data.dim)
+phasemapper = PMAdapterFM(mag_data.a, projector)
+phase_map = phasemapper(mag_data)
+(-phase_map).display_combined(title=r'Combined Plot (B$_0$={} T, Cos x {})'.format(b_0, gain),
+ density=gain)
+plt.savefig(PATH+'_{}T_cosx{}.png'.format(b_0, gain))
+(-phase_map).display_combined(title=r'Combined Plot (B$_0$={} T, Cos x {})'.format(b_0, gain),
+ density=gain, interpolation='bilinear')
+plt.savefig(PATH+'_{}T_cosx{}_smooth.png'.format(b_0, gain))
diff --git a/scripts/vtk_interpolation.py b/scripts/vtk_interpolation.py
new file mode 100644
index 0000000..3fea093
--- /dev/null
+++ b/scripts/vtk_interpolation.py
@@ -0,0 +1,73 @@
+# -*- coding: utf-8 -*-
+"""
+Created on Fri Jan 17 13:09:08 2014
+
+@author: Jan
+"""
+
+from pylab import *
+import pickle
+from tqdm import tqdm
+from pyramid.magdata import MagData
+
+with open("vtk_to_numpy.pickle") as pf:
+ data = pickle.load(pf)
+zs = unique(data[:,2])
+
+axis = plt.figure().add_subplot(1, 1, 1)
+axis.scatter(data[:, 0], data[:, 1])
+plt.show()
+
+# # regular grid
+xs = linspace(-8.5*2, 8.5*2, 256)
+ys = linspace(-9.5*2, 9.5*2, 256)
+
+o, p = meshgrid(xs, ys)
+
+newdata = zeros((len(xs), len(ys), len(zs), data.shape[1] - 3))
+
+
+## WITH MASKING OF THE CENTER:
+#
+#iz_x = concatenate([linspace(-4.95, -4.95, 50),
+# linspace(-4.95, 0, 50),
+# linspace(0, 4.95, 50),
+# linspace(4.95, 4.95, 50),
+# linspace(-4.95, 0, 50),
+# linspace(0, 4.95, 50),])
+#iz_y = concatenate([linspace(-2.88, 2.88, 50),
+# linspace(2.88, 5.7, 50),
+# linspace(5.7, 2.88, 50),
+# linspace(2.88, -2.88, 50),
+# linspace(-2.88, -5.7, 50),
+# linspace(-5.7, -2.88, 50), ])
+#
+#
+#for i, z in tqdm(enumerate(zs), total=len(zs)):
+# subdata = data[data[:, 2] == z, :]
+#
+# for j in range(newdata.shape[-1]):
+# gridded_subdata = griddata(concatenate([subdata[:, 0], iz_x]),
+# concatenate([subdata[:, 1], iz_y]), concatenate([subdata[:, 3 + j],
+# zeros(len(iz_x))]), o, p)
+# newdata[:, :, i, j] = gridded_subdata.filled(fill_value=0)
+
+
+# WITHOUT MASKING OF THE CENTER:
+
+
+for i, z in tqdm(enumerate(zs), total=len(zs)):
+ subdata = data[data[:, 2] == z, :]
+
+ for j in range(3): # For all 3 components!
+ gridded_subdata = griddata(subdata[:, 0], subdata[:, 1], subdata[:, 3 + j], o, p)
+ newdata[:, :, i, j] = gridded_subdata.filled(fill_value=0)
+
+
+magnitude = newdata.swapaxes(0,3).swapaxes(1,2).swapaxes(2,3)
+
+mag_data = MagData(1., magnitude)
+
+mag_data.quiver_plot()
+
+mag_data.save_to_netcdf4('vtk_mag_data.nc')
diff --git a/scripts/vtk_to_numpy.py b/scripts/vtk_to_numpy.py
new file mode 100644
index 0000000..0e88286
--- /dev/null
+++ b/scripts/vtk_to_numpy.py
@@ -0,0 +1,74 @@
+# -*- coding: utf-8 -*-
+"""
+Created on Tue Jan 14 10:06:42 2014
+
+@author: Jan
+"""
+
+
+import numpy as np
+import vtk
+#import netCDF4
+import logging
+import sys
+
+import pickle
+
+logging.basicConfig(level=logging.INFO, format='%(levelname)s: %(message)s', stream=sys.stdout)
+log = logging.getLogger(__name__)
+
+reader = vtk.vtkDataSetReader()
+reader.SetFileName('irect_500x125x3.vtk')
+reader.ReadAllScalarsOn()
+reader.ReadAllVectorsOn()
+reader.Update()
+
+output = reader.GetOutput()
+size = output.GetNumberOfPoints()
+
+vtk_points = output.GetPoints().GetData()
+vtk_vectors = output.GetPointData().GetVectors()
+
+point_array = np.zeros(vtk_points.GetSize())
+vtk_points.ExportToVoidPointer(point_array)
+point_array = np.reshape(point_array, (-1, 3))
+
+vector_array = np.zeros(vtk_points.GetSize())
+vtk_vectors.ExportToVoidPointer(vector_array)
+vector_array = np.reshape(vector_array, (-1, 3))
+
+data = np.hstack((point_array, vector_array))
+
+log.info('Data reading complete!')
+
+#magfile = netCDF4.Dataset('tube_90x30x30.nc', 'w', format='NETCDF3_64BIT')
+#magfile.createDimension('comp', 6) # Number of components
+#magfile.createDimension('size', size)
+#
+#x = magfile.createVariable('x', 'f8', ('size'))
+#y = magfile.createVariable('y', 'f8', ('size'))
+#z = magfile.createVariable('z', 'f8', ('size'))
+#x_mag = magfile.createVariable('x_mag', 'f8', ('size'))
+#y_mag = magfile.createVariable('y_mag', 'f8', ('size'))
+#z_mag = magfile.createVariable('z_mag', 'f8', ('size'))
+#
+#log.info('Start saving data separately!')
+#x = data[:, 0]
+#y = data[:, 1]
+#z = data[:, 2]
+#x_mag = data[:, 3]
+#y_mag = data[:, 4]
+#z_mag = data[:, 5]
+#log.info('Separate saving complete!')
+#
+#log.info('Try saving the whole array!')
+#filedata = magfile.createVariable('data', 'f8', ('size', 'comp'))
+#filedata[:, :] = data
+#log.info('Saving complete!')
+#
+#magfile.close()
+
+log.info('Pickling data!')
+with open('vtk_to_numpy.pickle', 'w') as pf:
+ pickle.dump(data, pf)
+log.info('Pickling complete!')
diff --git a/setup.py b/setup.py
index 9d9a4ea..42a2f15 100644
--- a/setup.py
+++ b/setup.py
@@ -67,7 +67,7 @@ setup(
ext_package = 'pyramid/numcore',
ext_modules = [
- Extension('phase_mag_real', ['pyramid/numcore/phase_mag_real.pyx'],
+ Extension('kernel_core', ['pyramid/numcore/kernel_core.pyx'],
include_dirs = [numpy.get_include(), numpy.get_numarray_include()],
extra_compile_args=['-march=native', '-mtune=native']
)
diff --git a/tests/test_costfunction.py b/tests/test_costfunction.py
new file mode 100644
index 0000000..0d06db5
--- /dev/null
+++ b/tests/test_costfunction.py
@@ -0,0 +1,7 @@
+# -*- coding: utf-8 -*-
+"""
+Created on Mon Jan 20 20:01:25 2014
+
+@author: Jan
+"""
+
diff --git a/tests/test_datacollection.py b/tests/test_datacollection.py
new file mode 100644
index 0000000..ebe2322
--- /dev/null
+++ b/tests/test_datacollection.py
@@ -0,0 +1,7 @@
+# -*- coding: utf-8 -*-
+"""
+Created on Mon Jan 20 19:58:01 2014
+
+@author: Jan
+"""
+
diff --git a/tests/test_forwardmodel.py b/tests/test_forwardmodel.py
new file mode 100644
index 0000000..5bd1ef1
--- /dev/null
+++ b/tests/test_forwardmodel.py
@@ -0,0 +1,7 @@
+# -*- coding: utf-8 -*-
+"""
+Created on Mon Jan 20 20:01:13 2014
+
+@author: Jan
+"""
+
diff --git a/tests/test_holoimage.py b/tests/test_holoimage.py
deleted file mode 100644
index 2680ef1..0000000
--- a/tests/test_holoimage.py
+++ /dev/null
@@ -1,44 +0,0 @@
-# -*- coding: utf-8 -*-
-"""Testcase for the holoimage module."""
-
-
-import os
-import unittest
-import numpy as np
-from numpy import pi
-
-from pyramid.phasemap import PhaseMap
-import pyramid.holoimage as hi
-
-
-class TestCaseHoloImage(unittest.TestCase):
-
- def setUp(self):
- self.path = os.path.join(os.path.dirname(os.path.realpath(__file__)), 'test_holoimage')
- phase = np.zeros((4, 4))
- phase[1:-1, 1:-1] = pi/4
- self.phase_map = PhaseMap(10.0, phase)
-
- def tearDown(self):
- self.path = None
- self.phase_map = None
-
- def test_holo_image(self):
- img = hi.holo_image(self.phase_map)
- arr = np.array(img.getdata(), np.uint8).reshape(img.size[1], img.size[0], 3)
- holo_img_r, holo_img_g, holo_img_b = arr[..., 0], arr[..., 1], arr[..., 2]
- ref_holo_img_r = np.loadtxt(os.path.join(self.path, 'ref_holo_img_r.txt'))
- ref_holo_img_g = np.loadtxt(os.path.join(self.path, 'ref_holo_img_g.txt'))
- ref_holo_img_b = np.loadtxt(os.path.join(self.path, 'ref_holo_img_b.txt'))
- hi.display(img)
- np.testing.assert_equal(holo_img_r, ref_holo_img_r,
- 'Unexpected behavior in holo_image() (r-component)!')
- np.testing.assert_equal(holo_img_g, ref_holo_img_g,
- 'Unexpected behavior in holo_image() (g-component)!')
- np.testing.assert_equal(holo_img_b, ref_holo_img_b,
- 'Unexpected behavior in holo_image() (b-component)!')
-
-
-if __name__ == '__main__':
- suite = unittest.TestLoader().loadTestsFromTestCase(TestCaseHoloImage)
- unittest.TextTestRunner(verbosity=2).run(suite)
diff --git a/tests/test_holoimage/ref_holo_img_b.txt b/tests/test_holoimage/ref_holo_img_b.txt
deleted file mode 100644
index fe1fcf2..0000000
--- a/tests/test_holoimage/ref_holo_img_b.txt
+++ /dev/null
@@ -1,4 +0,0 @@
-0.000000000000000000e+00 0.000000000000000000e+00 0.000000000000000000e+00 0.000000000000000000e+00
-0.000000000000000000e+00 0.000000000000000000e+00 9.700000000000000000e+01 2.550000000000000000e+02
-0.000000000000000000e+00 0.000000000000000000e+00 1.000000000000000000e+02 2.550000000000000000e+02
-0.000000000000000000e+00 3.000000000000000000e+00 3.000000000000000000e+00 0.000000000000000000e+00
diff --git a/tests/test_holoimage/ref_holo_img_g.txt b/tests/test_holoimage/ref_holo_img_g.txt
deleted file mode 100644
index a4a674d..0000000
--- a/tests/test_holoimage/ref_holo_img_g.txt
+++ /dev/null
@@ -1,4 +0,0 @@
-0.000000000000000000e+00 1.000000000000000000e+00 1.000000000000000000e+00 0.000000000000000000e+00
-2.550000000000000000e+02 9.900000000000000000e+01 0.000000000000000000e+00 0.000000000000000000e+00
-2.550000000000000000e+02 1.950000000000000000e+02 9.500000000000000000e+01 0.000000000000000000e+00
-0.000000000000000000e+00 2.520000000000000000e+02 2.520000000000000000e+02 0.000000000000000000e+00
diff --git a/tests/test_holoimage/ref_holo_img_r.txt b/tests/test_holoimage/ref_holo_img_r.txt
deleted file mode 100644
index 7373e5e..0000000
--- a/tests/test_holoimage/ref_holo_img_r.txt
+++ /dev/null
@@ -1,4 +0,0 @@
-0.000000000000000000e+00 2.550000000000000000e+02 2.550000000000000000e+02 0.000000000000000000e+00
-2.530000000000000000e+02 1.950000000000000000e+02 9.800000000000000000e+01 0.000000000000000000e+00
-2.530000000000000000e+02 9.500000000000000000e+01 0.000000000000000000e+00 0.000000000000000000e+00
-0.000000000000000000e+00 0.000000000000000000e+00 0.000000000000000000e+00 0.000000000000000000e+00
diff --git a/tests/test_kernel.py b/tests/test_kernel.py
new file mode 100644
index 0000000..b4fa9e4
--- /dev/null
+++ b/tests/test_kernel.py
@@ -0,0 +1,7 @@
+# -*- coding: utf-8 -*-
+"""
+Created on Mon Jan 20 20:00:50 2014
+
+@author: Jan
+"""
+
diff --git a/tests/test_reconstructor.py b/tests/test_optimize.py
similarity index 100%
rename from tests/test_reconstructor.py
rename to tests/test_optimize.py
--
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