From ba9a54d1a73462a55d576e1bafb4e614b52d8bca Mon Sep 17 00:00:00 2001
From: Jan Caron <caron@iffw2k.kfa-juelich.de>
Date: Thu, 25 Oct 2018 15:55:44 +0200
Subject: [PATCH] Lots of small stuff again... dataset: plot_mask now takes
 kwargs. fielddata: pad now allows mode changes. phasemap: fixed bug that did
 not properly scale vmin and vmax with unit. io_vectordata: added support for
 .vtk, .tec files and new interpolation.

---
 .gitignore                       |   4 +
 demos/files/confidence.png       | Bin 0 -> 1598 bytes
 demos/files/mask.png             | Bin 0 -> 2428 bytes
 demos/phasemap.hdf5              | Bin 0 -> 795945 bytes
 environment.yml                  |   6 +-
 pyramid/dataset.py               |   4 +-
 pyramid/diagnostics.py           |  11 +
 pyramid/fielddata.py             |  14 +-
 pyramid/file_io/io_vectordata.py | 331 ++++++++++++++++++++++++++++++-
 pyramid/magcreator/magcreator.py |   1 +
 pyramid/phasemap.py              |   4 +-
 pyramid/plottools.py             |   2 +-
 pyramid/utils/__init__.py        |   3 +-
 pyramid/utils/pm.py              |   5 +-
 14 files changed, 367 insertions(+), 18 deletions(-)
 create mode 100644 demos/files/confidence.png
 create mode 100644 demos/files/mask.png
 create mode 100644 demos/phasemap.hdf5

diff --git a/.gitignore b/.gitignore
index 04e7080..7a131ba 100644
--- a/.gitignore
+++ b/.gitignore
@@ -4,6 +4,10 @@ desktop.ini
 
 .idea
 
+.vscode
+
+.cache
+
 .coverage
 
 *.egg-info
diff --git a/demos/files/confidence.png b/demos/files/confidence.png
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literal 0
HcmV?d00001

diff --git a/environment.yml b/environment.yml
index ea7c884..ff43501 100644
--- a/environment.yml
+++ b/environment.yml
@@ -24,14 +24,15 @@ dependencies:
   # File IO:
   - hyperspy=1.3  # TODO: Update as soon as 1.4 is out!
   - hyperspy-gui-ipywidgets=1.0
+  # - python-mrcz=0.3.7  # TODO: Should be a dependency of HyperSpy?
   # - hyperspy-gui-traitsui=1.0  # TODO: Optional! Delete when mayavi is gone!
   - h5py=2.7
   # Plotting and colors:  # TODO: Shift to plotting package?
-  - matplotlib=1.5  # Only conda-forge channel has working version for qt4!
+  - matplotlib #1.5  # Only conda-forge channel has working version for qt4!
   - Pillow=4.1
   - cmocean=1.1
   - qt=4.8  # Necessary because of traits in mayavi... On server, pyqt=5.6 is needed!
-  - mayavi=4.5  # TODO: Get rid of!
+  - mayavi #=4.5  # TODO: Get rid of!
   #- colorspacious  # TODO: NOT USED?
   #- visvis  # TODO: NOT USED?
   # Testing:
@@ -41,6 +42,7 @@ dependencies:
   - pytest-runner=2.11
   - pytest-mpl=0.7  # Needed for testing hyperspy! TODO: Use for pyramid or plotting library, too!
   - coverage=4.4
+  - pylint==2.1.1
   # IPython and notebooks:
   - ipython=5.3
   - jupyter=1.0
diff --git a/pyramid/dataset.py b/pyramid/dataset.py
index 3e6a7a3..2c95343 100644
--- a/pyramid/dataset.py
+++ b/pyramid/dataset.py
@@ -342,7 +342,7 @@ class DataSet(object):
         from .file_io.io_dataset import save_dataset
         save_dataset(self, filename, overwrite)
 
-    def plot_mask(self):
+    def plot_mask(self, **kwargs):
         """If it exists, display the 3D mask of the magnetization distribution.
 
         Returns
@@ -352,7 +352,7 @@ class DataSet(object):
         """
         self._log.debug('Calling plot_mask')
         if self.mask is not None:
-            return ScalarData(self.a, self.mask).plot_mask()
+            return ScalarData(self.a, self.mask).plot_mask(**kwargs)
 
     def plot_phasemaps(self, magdata=None, title='Phase Map', difference=False, ramp=None,
                        **kwargs):
diff --git a/pyramid/diagnostics.py b/pyramid/diagnostics.py
index 8e8b78f..9c90268 100644
--- a/pyramid/diagnostics.py
+++ b/pyramid/diagnostics.py
@@ -607,6 +607,17 @@ class LCurve(object):
         axis.grid()
         return axis
         # TODO: Don't plot the steep part on the right...
+        # TODO: The following formatting is better but without usetex, \boldsymbol doesn't work!
+        # import matplotlib
+        # matplotlib.rc('text', usetex=True)
+        # matplotlib.rcParams['text.latex.preamble'] = [r"\usepackage{amsmath}"]
+        # axis.get_xaxis().get_major_formatter().labelOnlyBase = False
+        # axis.set_xlabel(
+        #     r'$\Vert\mathbf{F}\boldsymbol{x}-\boldsymbol{y}\Vert_{\mathbf{S}_{\epsilon}^{-1}}^{2}$',
+        #     fontsize=22)
+        # axis.set_ylabel(r'$\frac{1}{\lambda}\Vert\boldsymbol{x}\Vert_{\mathbf{S}_{a}^{-1}}^{2}$',
+        #                 fontsize=22)
+        # matplotlib.rc('text', usetex=False)
 
 
 def get_vector_field_errors(vector_data, vector_data_ref, mask=None):
diff --git a/pyramid/fielddata.py b/pyramid/fielddata.py
index 79b622d..8b1dd9d 100644
--- a/pyramid/fielddata.py
+++ b/pyramid/fielddata.py
@@ -49,6 +49,10 @@ class FieldData(object, metaclass=abc.ABCMeta):
 
     _log = logging.getLogger(__name__ + '.FieldData')
 
+    # TODO: Property mask: can be provided at construction and also set later. Default is None!
+    # TODO: The getter function should use the current get_mask() function if mask is None (and
+    # TODO: save it to _mask or something!
+
     @property
     def a(self):
         """The grid spacing in nm."""
@@ -584,7 +588,7 @@ class VectorData(FieldData):
                               zoom(self.field[2], zoom=2 ** n, order=order)))
         return VectorData(a_new, field_new)
 
-    def pad(self, pad_values):
+    def pad(self, pad_values, mode='constant'):
         """Pad the current field distribution with zeros for each individual axis.
 
         Parameters
@@ -609,10 +613,10 @@ class VectorData(FieldData):
             assert np.shape(values) in [(), (2,)], 'Only one or two values per axis can be given!'
             pv[2 * i:2 * (i + 1)] = values
         field_pad = np.pad(self.field, ((0, 0), (pv[0], pv[1]), (pv[2], pv[3]), (pv[4], pv[5])),
-                           mode='constant')
+                           mode=mode)
         return VectorData(self.a, field_pad)
 
-    def crop(self, crop_values):  # TODO: bad copy&paste from pad?
+    def crop(self, crop_values):  # TODO: bad copy&paste from pad? zeros cropped -> no sense!
         """Crop the current field distribution with zeros for each individual axis.
 
         Parameters
@@ -1725,6 +1729,10 @@ class ScalarData(FieldData):
             cmap = cmocean.cm.thermal
         elif isinstance(cmap, str):  # Get colormap if given as string:
             cmap = plt.get_cmap(cmap)
+        if vmin is None:
+            vmin = np.min(field_slice)
+        if vmax is None:
+            vmax = np.max(field_slice)
         if symmetric:  # TODO: symmetric should be called divergent (see cmocean)!
             vmin, vmax = np.min([vmin, -0]), np.max([0, vmax])  # Ensure zero is present!
             limit = np.max(np.abs([vmin, vmax]))
diff --git a/pyramid/file_io/io_vectordata.py b/pyramid/file_io/io_vectordata.py
index f128fc9..93da805 100644
--- a/pyramid/file_io/io_vectordata.py
+++ b/pyramid/file_io/io_vectordata.py
@@ -8,9 +8,12 @@ import logging
 
 import os
 
+import re
+
 import numpy as np
 
 from ..fielddata import VectorData
+from .. import colors
 
 __all__ = ['load_vectordata']
 _log = logging.getLogger(__name__)
@@ -53,6 +56,12 @@ def load_vectordata(filename, a=None, **kwargs):
     # Load from npy-files:
     elif extension in ['.npy', '.npz']:
         return _load_from_npy(filename, a, **kwargs)
+    # Load from vtk-file:
+    elif extension == '.vtk':
+        return _load_from_vtk(filename, a, **kwargs)
+    # Load from tec-file:
+    elif extension == '.tec':
+        return _load_from_tec(filename, a, **kwargs)
     # Load with HyperSpy:
     else:
         if extension == '':
@@ -61,7 +70,7 @@ def load_vectordata(filename, a=None, **kwargs):
 
 
 def _load_from_llg(filename, a):
-    _log.debug('Calling load_from_llg')
+    _log.debug('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])))
@@ -72,7 +81,7 @@ def _load_from_llg(filename, a):
 
 
 def _load_from_ovf(filename, a):
-    _log.debug('Calling load_from_ovf')
+    _log.debug('Calling _load_from_ovf')
     with open(filename, 'rb') as mag_file:
         # TODO: Also handle OOMF 1.0? See later TODOs...
         line = mag_file.readline()
@@ -163,19 +172,22 @@ def _load_from_ovf(filename, a):
                              'Found step sizes are x:{}, y:{}, z:{} (all in {})!'.format(
                                 xstep, ystep, zstep, header.get('meshunit')))
             # Extract grid spacing from xstepsize and convert according to meshunit:
-            a = xstep * {'m': 1e9, 'mm': 1e6, 'µm': 1e3, 'nm': 1}[header.get('meshunit', 'nm')]
+            unit = header.get('meshunit', 'nm')
+            if unit == 'unspecified':
+                unit = 'nm'
+            a = xstep * {'m': 1e9, 'mm': 1e6, 'µm': 1e3, 'nm': 1}[unit]
         return VectorData(a, field)
 
 
 def _load_from_npy(filename, a, **kwargs):
-    _log.debug('Calling load_from_npy')
+    _log.debug('Calling _load_from_npy')
     if a is None:
         a = 1.  # Use default!
     return VectorData(a, np.load(filename, **kwargs))
 
 
 def _load_from_hs(filename, a, **kwargs):
-    _log.debug('Calling load_from_hs')
+    _log.debug('Calling _load_from_hs')
     try:
         import hyperspy.api as hs
     except ImportError:
@@ -187,6 +199,274 @@ def _load_from_hs(filename, a, **kwargs):
     return vectordata
 
 
+def _load_from_vtk(filename, a=None, **kwargs):
+    # TODO: kwargs like mode, dim, origin, etc.!
+    # TODO: Testing with examples: https://lorensen.github.io/VTKExamples/site/Python/#data-types
+    from tvtk.api import tvtk
+    import itertools
+    # Infos about format: http://www.cacr.caltech.edu/~slombey/asci/vtk/vtk_formats.simple.html
+
+    _log.debug('Calling _load_from_vtk')
+    # Setting up reader:
+    reader = tvtk.DataSetReader(file_name=filename, read_all_scalars=True, read_all_vectors=True)
+    reader.update()
+    # Getting output:
+    output = reader.output
+    assert output is not None, 'File reader cold not find data or file "{}"!'.format(filename)
+    # Reading points and vectors:
+    # TODO: The following does not work for StructuredPoints!
+    # TODO: However, they don't need interpolation and are easier to handle!
+    # TODO: Therefore: check which structure the file uses and read from there!
+    if isinstance(output, tvtk.StructuredPoints):
+        _log.info('geometry: StructuredPoints')
+        # Load relevant information from output (reverse to get typical Python order z,y,x):
+        dim = output.origin[::-1]
+        origin = output.spacing[::-1]   
+        spacing = output.dimensions[::-1]
+        assert len(dim) == 3, 'Data has to be three-dimensional!'
+        assert spacing[0] == spacing[1] == spacing[2], \
+            'The grid is not Euclidean (spacing: {})!'.format(spacing)
+        # TODO: when the spacing is not equal in all directions: Interpolate (or just exclude case)
+        # x = spacing[0] * (np.arange(dim[2]) - origin[2] + 0.5)
+        # y = spacing[1] * (np.arange(dim[1]) - origin[1] + 0.5)
+        # z = spacing[2] * (np.arange(dim[0]) - origin[0] + 0.5)
+        # xi = np.asarray(list(itertools.product(z, y, x)))
+        # point_array = np.fliplr(xi)  # fliplr for (x, y, z) order!
+        if a is None:
+            a = spacing[0]
+        # Extract vector compontents and create magnitude array:
+        vector_array = np.asarray(output.point_data.vectors, dtype=np.float)
+        x_mag, y_mag, z_mag = vector_array.T
+        magnitude = np.asarray((x_mag.reshape(dim), y_mag.reshape(dim), z_mag.reshape(dim)))
+    elif isinstance(output, tvtk.RectilinearGrid):
+        _log.info('geometry: RectilinearGrid')
+        raise NotImplementedError('RectilinearGrid is currently not supported!')
+        # TODO: Implement?
+    elif isinstance(output, tvtk.StructuredGrid):
+        _log.info('geometry: StructuredGrid')
+        raise NotImplementedError('StructuredGrid is currently not supported!')
+    # TODO: Implement?
+    elif isinstance(output, tvtk.UnstructuredGrid):
+        _log.info('geometry: UnstructuredGrid')
+        origin = kwargs.get('origin', None)
+        dim = kwargs.get('dim', (32, 32, 32))  # TODO: Is this default okay? At least document!
+        if a is None:  # Set a default if none was set for the grid spacing:
+            a = 1
+        # Load relevant information from output:
+        point_array = np.asarray(output.points, dtype=np.float)
+        vector_array = np.asarray(output.point_data.vectors, dtype=np.float)
+        magnitude = interp_to_regular_grid(point_array, vector_array, a, dim=dim, origin=origin)
+    elif isinstance(output, tvtk.PolyData):
+        _log.info('geometry: PolyData')
+        raise NotImplementedError('PolyData is currently not supported!')
+        # TODO: Implement?
+    else:
+        raise TypeError('Data type of {} not understood!'.format(output))
+    return VectorData(a, magnitude)  # TODO: a und dim eventuell nicht bekannt! NECESSARY!!!!
+    # TODO: Copy a conversion from ovf reader!
+
+
+def _load_from_tec(filename, a=None, **kwargs):
+    _log.debug('Calling load_from_tec')
+    with open(filename, 'r') as mag_file:
+        # Read in lines:
+        lines = mag_file.readlines()
+        # Extract number of points from third line:
+        match = re.search('N=(\d+)', lines[2])
+        if match:
+            n_points = int(match.group(1))
+        else:
+            raise IOError('File does not seem to match .tec format!')
+    n_head, n_foot = 3, len(lines) - (3 + n_points)
+    # Read in data:
+    origin = kwargs.get('origin', None)
+    dim = kwargs.get('dim', (32, 32, 32))  # TODO: Is this default okay? At least document!
+    data = np.genfromtxt(filename, skip_header=n_head, skip_footer=n_foot)
+    magnitude = interp_to_regular_grid(data[:, :3], data[:, 3:], a, dim=dim, origin=origin)
+    return VectorData(a, magnitude)  # TODO: a und dim eventuell nicht bekannt! NECESSARY!!!!
+    # TODO: Copy a conversion from ovf reader!
+
+
+
+
+def interp_to_regular_grid(points, values, a, dim=(32, 32, 32), origin=None, convex=True):
+
+    # TODO: Docstring! Default: new grid centered around 0/0 origin of the point cloud (sensible?)
+    # TODO: make extensible for scalarfield (4 cols) or general 3 cols coords and n columns?
+    # TODO: Cleanup!
+    from scipy.spatial import cKDTree as KDTree
+    from time import sleep
+    from tqdm import tqdm
+    #from pylab import griddata
+    import itertools
+    from scipy.interpolate import griddata
+
+
+    # TODO: IMPORTANT!!! Good method to estimate a is severely needed!!!
+    # TODO: OR in enclosing methods: number of points in the directions!!!
+
+
+    # TODO: CURRENTLY UNUSED! Apply when?
+
+    def _enclosing_zero(x, y, nx, ny):  # TODO: kann datt weg?
+        """Construct a grid of points, that are some distance away from points (x, y)
+
+        Parameters
+        ----------
+        x : int
+        y : int
+        nx: int, optional
+        ny: int, optional
+
+        Returns
+        -------
+        zero_points: lists
+            Two lists for the finer grid in x and y.
+
+        """
+        dx = np.ptp(x) / nx
+        dy = np.ptp(y) / ny
+        xp, yp = np.mgrid[np.min(x) - 2 * dx:np.max(x) + 2 * dx:(nx + 2) * 1j,
+                 np.min(y) - 2 * dy:np.max(y) + 2 * dy:(ny + 2) * 1j]
+        xp = xp.ravel()
+        yp = yp.ravel()
+        # Use KDTree to answer the question: "which point of set (x, y) is the
+        # nearest neighbors of those in (xp, yp)"
+        tree = KDTree(np.c_[x, y])
+        dist, j = tree.query(np.c_[xp, yp], k=1)
+        # Select points sufficiently far away
+        m = (dist > np.hypot(dx, dy))
+        return xp[m], yp[m]
+
+    _log.debug('Calling interpolate_to_regular_grid')
+
+
+    z_uniq = np.unique(points[:, 2])
+    # Determine the size of object:
+    x_min, x_max = points[:, 0].min(), points[:, 0].max()
+    y_min, y_max = points[:, 1].min(), points[:, 1].max()
+    z_min, z_max = points[:, 2].min(), points[:, 2].max()
+    x_diff, y_diff, z_diff = np.ptp(points[:, 0]), np.ptp(points[:, 1]), np.ptp(points[:, 2])
+    _log.info('x-range: {:.2g} <-> {:.2g} ({:.2g})'.format(x_min, x_max, x_max-x_min))
+    _log.info('y-range: {:.2g} <-> {:.2g} ({:.2g})'.format(y_min, y_max, y_max-y_min))
+    _log.info('z-range: {:.2g} <-> {:.2g} ({:.2g})'.format(z_min, z_max, z_max-z_min))
+
+    # x_cent, y_cent, z_cent = x_min + x_diff / 2., y_min + y_diff / 2., z_min + z_diff / 2.
+    # # TODO: DETERMINE a !!!!
+    # _log.info('a: {} - {}'.format(np.abs(np.diff(z_uniq)).min(), np.abs(np.diff(z_uniq)).max()))
+    # _log.info('a: {}'.format(a))
+    # if origin is None:  # TODO: Default: (0, 0, 0) or center (latter as keyword)?
+    #     origin = (dim[0] // 2, dim[1] // 2, dim[2] // 2)  # TODO: rename to origin?
+    #     origin = (0, 0, 0)
+    # assert len(origin) == len(dim) == 3, 'Center and dim have to be threedimensional!'
+    #
+    # # Determine points at which to intepolate data:
+    # x = a * (np.linspace(-origin[2], dim[2] - 1 - origin[2], dim[2]) + 0.5)  # +0.5: pixel center!
+    # y = a * (np.linspace(-origin[1], dim[1] - 1 - origin[1], dim[1]) + 0.5)  # +0.5: pixel center!
+    # z = a * (np.linspace(-origin[0], dim[0] - 1 - origin[0], dim[0]) + 0.5)  # +0.5: pixel center!
+
+    dim = np.round(np.asarray((z_diff, y_diff, x_diff)) / a).astype(int)
+    x = x_min + a * (np.arange(dim[2]) + 0.5)  # +0.5: shift to pixel center!
+    y = y_min + a * (np.arange(dim[1]) + 0.5)  # +0.5: shift to pixel center!
+    z = z_min + a * (np.arange(dim[0]) + 0.5)  # +0.5: shift to pixel center!
+
+    # TODO: rename xi (and all single letters here) to something nicer!
+    # TODO: also set a flag nonconvex (default False) and only do the following if it is True!
+    # TODO: also make upper bound variable?
+    xi = np.fliplr(np.asarray(list(itertools.product(z, y, x))))  # fliplr for (x, y, z) order!
+
+    values = np.atleast_2d(values.T).T  # Double .T so that a new axis is added at the END (n, 1)!
+
+    # #------------------------------empty points!---------------------------------------------------
+    #
+    # # yyy, zzz, xxx = np.meshgrid(x, y, z)  # What's up with this strange order???
+    #
+    # # Find unique z-slices:
+    # z_uniq = np.unique(data[:, 2])
+    # # 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.
+    # # Determine the grid spacing:
+    # if a is None:
+    #     # TODO: Works only for equidistant z and not too many unique values!
+    #     # TODO: Should NOT be in this function, calculate outside!! make function simpler!!
+    #     a = z_uniq[1] - z_uniq[0]
+    # _log.info('a: {} - {}'.format(np.abs(np.diff(z_uniq)).min(), np.abs(np.diff(z_uniq)).max()))
+    # _log.info('a: {}'.format(a))
+    # # Create regular grid:
+    # x = np.arange(x_cent - x_diff, x_cent + x_diff + a / 2, a)
+    # y = np.arange(y_cent - y_diff, y_cent + y_diff + a / 2, a)
+    # z = np.arange(z_min, z_max + a / 2, a)
+    # xx, yy = np.meshgrid(x, y)
+    # _log.info('Dimensions: {}'.format(xx.shape))
+    # # Create empty field:
+    # magnitude = np.zeros((3, len(z), len(y), len(x)), dtype=np.float)
+    # _log.info('Mag Dimensions: {}'.format(magnitude.shape[1:]))
+    # sleep(0.5)
+    # # Fill field slice per slice:
+    # for i, zi in tqdm(enumerate(z), total=len(z)):
+    #     # Take all points in one z-voxel-layer of the new regular grid into account (use weights!):
+    #     z_slice = data[np.abs(data[:, 2] - zi) <= a / 2., :]
+    #     # If z is regular everywhere, weights are always 1:
+    #     weights = 1 - np.abs(z_slice[:, 2] - zi) * 2 / a
+    #     # Prepare fake data points:
+    #     x_nan, y_nan = enclosing_zero(z_slice[:, 0], z_slice[:, 1], nx=len(x) // 100,
+    #                                   ny=len(y) // 100)
+    #     z_nan = np.empty_like(x_nan)
+    #     z_nan[:] = np.nan
+    #     grid_x = np.r_[z_slice[:, 0], x_nan]
+    #     grid_y = np.r_[z_slice[:, 1], y_nan]
+    #     for j in range(3):  # For all 3 components!
+    #         # TODO: could go over arbitrary components here?
+    #         # TODO: keep first dimension (3 here) and use np.squeeze() for scalars case at return!
+    #         grid_z = np.r_[weights * z_slice[:, 3 + j], z_nan]
+    #         gridded_subdata = griddata(grid_x, grid_y, grid_z, xx, yy)
+    #         magnitude[j, i, :, :] = gridded_subdata.filled(fill_value=0).astype(np.float)
+    #
+    # #----------------------------------------------------------------------------------------------
+
+    interpolation = np.empty((values.shape[-1], len(z), len(y), len(x)), dtype=np.float)
+    for i in tqdm(range(values.shape[-1])):  # TODO: tqdm? can take a looooong time...
+        interpolation[i, ...] = griddata(points, values[:, i], xi,
+                                         method='linear', fill_value=0).reshape(dim)
+    # TODO: make method flexible!
+    # TODO: irgendwann auch mal testen, ob das für skalaren Kram funktioniert, vor allem squeeze...
+
+    convex = False  # TODO: delete later!
+    if not convex:  # Only necessary if the user expects holes in the (-> nonconvex) distribution:
+
+        tree = KDTree(points)
+
+        # Query the tree for nearest neighbors, x: points to query, k: number of neighbors, p: norm to
+        # use (here: 2 - Euclidean), distance_upper_bound: maximum distance that is searched!
+        d, l = tree.query(x=xi, k=1, p=2, distance_upper_bound=2*a)  # TODO: which bound is ok?
+
+        # Create boolean mask that determines which interpolation points have no neighbor near enough:
+        mask = np.isinf(d).reshape(dim)  # Points further away than upper bound were marked 'inf'!
+
+        for i in tqdm(range(values.shape[-1])):  # TODO: tqdm? can take a looooong time...
+            #interpolation[i, ...][mask] = 0
+            interpolation[i, ...].ravel()[mask.ravel()] = 0
+
+        # TODO: Log how many points are added and such... DEBUG!!!
+        # # Append interpolation points without close neighbors to list of original points:
+        # points = np.vstack((points, xi[mask]))
+        # # Accordingly append a list of fitting zeros to the values:
+        # values = np.vstack((values, np.zeros_like(xi[mask])))
+        # _log.info('Added {:d} zero points!'.format(np.sum(mask)))
+
+    import matplotlib.pyplot as plt
+    axis = plt.figure().add_subplot(1, 1, 1)
+    axis.scatter(points[:, 0], points[:, 1])
+    axis.scatter(xi[:, 0], xi[:, 1], c='green')
+    axis.scatter(xi[:, 0][mask.ravel()], xi[:, 1][mask.ravel()], c='red')
+
+    return np.squeeze(interpolation)
+
+
 def save_vectordata(vectordata, filename, **kwargs):
     """%s"""
     _log.debug('Calling save_vectordata')
@@ -194,11 +474,15 @@ def save_vectordata(vectordata, filename, **kwargs):
     if extension == '.llg':  # Save to llg-files:
         _save_to_llg(vectordata, filename)
     elif extension == '.ovf':  # Save to ovf-files:
-        _save_to_ovf(vectordata, filename, **kwargs)
+        _save_to_ovf(vectordata, filename)
     elif extension in ['.npy', '.npz']:  # Save to npy-files:
         _save_to_npy(vectordata, filename, **kwargs)
+    elif extension == '.vtk':  # Save to vtk-files:
+        _save_to_vtk(vectordata, filename)
     else:  # Try HyperSpy:
         _save_to_hs(vectordata, filename, **kwargs)
+
+
 save_vectordata.__doc__ %= VectorData.save.__doc__
 
 
@@ -268,3 +552,38 @@ def _save_to_npy(vectordata, filename, **kwargs):
 def _save_to_hs(vectordata, filename, **kwargs):
     _log.debug('Calling save_to_hyperspy')
     vectordata.to_signal().save(filename, **kwargs)
+
+
+def _save_to_vtk(vectordata, filename):
+    # Infos about format: https://www.vtk.org/wp-content/uploads/2015/04/file-formats.pdf
+    # See also: https://www.vtk.org/Wiki/VTK/Writing_VTK_files_using_python
+    from tvtk.api import tvtk, write_data
+    _log.debug('Calling save_to_vtk')
+    # Put vector components in corresponding array:
+    vectors = np.empty(vectordata.dim + (3,), dtype=float)
+    vectors[..., 0] = vectordata.field[0, ...]
+    vectors[..., 1] = vectordata.field[1, ...]
+    vectors[..., 2] = vectordata.field[2, ...]
+    vectors = vectors.copy().reshape(-1, 3)  # copy necessary to make contiguous!
+    # Calculate colors:
+    x_mag, y_mag, z_mag = vectordata.field
+    magvec = np.asarray((x_mag.ravel(), y_mag.ravel(), z_mag.ravel()))
+    rgb = colors.CMAP_CIRCULAR_DEFAULT.rgb_from_vector(magvec)
+    point_colors = tvtk.UnsignedIntArray()
+    point_colors.number_of_components = 3
+    point_colors.name = 'colors'
+    point_colors.from_array(rgb)
+    # Create the dataset:
+    origin = (0, 0, 0)
+    spacing = (vectordata.a,)*3
+    dimensions = (vectordata.dim[2], vectordata.dim[1], vectordata.dim[0])
+    sp = tvtk.StructuredPoints(origin=origin, spacing=spacing, dimensions=dimensions)
+    sp.point_data.vectors = vectors
+    sp.point_data.vectors.name = 'magnetisation'
+    sp.point_data.scalars = point_colors
+    sp.point_data.scalars.name = 'colors'
+    # Write the data to file:
+    write_data(sp, filename)
+
+
+# TODO: Put load and save routines in format-specific files (ala hyperspy)
diff --git a/pyramid/magcreator/magcreator.py b/pyramid/magcreator/magcreator.py
index cd16504..a4e7b45 100644
--- a/pyramid/magcreator/magcreator.py
+++ b/pyramid/magcreator/magcreator.py
@@ -162,6 +162,7 @@ def create_mag_dist_smooth_vortex(mag_shape, center=None, vort_r=None, core_r=0,
     def core(r):
         """Function describing the smooth vortex core."""
         r_clip = np.clip(r - core_r, a_min=0, a_max=None)
+        # TODO: vort_r = None throws error in next line (divide by None not defined) > set default!
         return 1 - 2/np.pi * np.arcsin(np.tanh(np.pi*r_clip/vort_r))
 
     _log.debug('Calling create_mag_dist_vortex')
diff --git a/pyramid/phasemap.py b/pyramid/phasemap.py
index 30a185c..93d3652 100644
--- a/pyramid/phasemap.py
+++ b/pyramid/phasemap.py
@@ -654,7 +654,7 @@ class PhaseMap(object):
             unit = '{} x 1E{:g}'.format(unit, order)
             phase /= 10 ** order
         # Calculate limits if necessary (not necessary if both limits are already set):
-        if vmin is None and vmax is None:
+        if vmin is None or vmax is None:
             phase_lim = phase
             # Clip non-trustworthy regions for the limit calculation:
             if show_conf:
@@ -672,6 +672,8 @@ class PhaseMap(object):
                 vmin = np.min(phase_lim)
             if vmax is None:
                 vmax = np.max(phase_lim)
+        else:  # If vmin and vmax are set by the user, they have to be unit-scaled as well:
+            vmin, vmax = vmin * self.UNITDICT[unit], vmax * self.UNITDICT[unit]
         # Configure colormap and fix white to zero if colormap is symmetric:
         if cmap is None:
             cmap = plt.get_cmap('RdBu')  # TODO: use cmocean.cm.balance (flipped colours!)
diff --git a/pyramid/plottools.py b/pyramid/plottools.py
index 098c461..9b282e4 100644
--- a/pyramid/plottools.py
+++ b/pyramid/plottools.py
@@ -169,7 +169,7 @@ def add_colorwheel(axis):
     """
     from mpl_toolkits.axes_grid.inset_locator import inset_axes
     inset_axes = inset_axes(axis, width=0.75, height=0.75, loc=1)
-    inset_axes.axis('off')
+    inset_axes.axis('off')  # TODO: Matplotlib 2.0 uses False! Search 'off' to change everywhere!
     cmap = colors.CMAP_CIRCULAR_DEFAULT
     bgcolor = None#axis.get_facecolor() TODO: Activate for matplotlib 2.0!
     return cmap.plot_colorwheel(size=100, axis=inset_axes, alpha=0, bgcolor=bgcolor, arrows=True)
diff --git a/pyramid/utils/__init__.py b/pyramid/utils/__init__.py
index 54bbf95..eaac581 100644
--- a/pyramid/utils/__init__.py
+++ b/pyramid/utils/__init__.py
@@ -7,8 +7,9 @@
 from .pm import pm
 from .reconstruction_2d_from_phasemap import reconstruction_2d_from_phasemap
 from .reconstruction_3d_from_magdata import reconstruction_3d_from_magdata
+from . import lorentz
 #from .phasemap_creator import gui_phasemap_creator
 #from .mag_slicer import gui_mag_slicer
 
-__all__ = ['pm', 'reconstruction_2d_from_phasemap', 'reconstruction_3d_from_magdata']#,
+__all__ = ['pm', 'reconstruction_2d_from_phasemap', 'reconstruction_3d_from_magdata', 'lorentz']#,
            #'gui_phasemap_creator', 'gui_mag_slicer']
diff --git a/pyramid/utils/pm.py b/pyramid/utils/pm.py
index 0d17692..fb29652 100644
--- a/pyramid/utils/pm.py
+++ b/pyramid/utils/pm.py
@@ -17,12 +17,13 @@ _log = logging.getLogger(__name__)
 
 
 def pm(fielddata, mode='z', b_0=1, electrode_vec=(1E6, 1E6), mapper='RDFC', **kwargs):
-    """Convenience function for fast electric charge and magnetic phase mapping.
+    """Convenience function for fast magnetic and electric phase mapping.
 
     Parameters
     ----------
     fielddata : :class:`~.VectorData`, or `~.ScalarData`
-        A :class:`~.VectorData` or `~.ScalarData` object, from which the projected phase map should be calculated.
+        A :class:`~.VectorData` or `~.ScalarData` object, from which the projected phase map should
+        be calculated.
     mode: {'z', 'y', 'x', 'x-tilt', 'y-tilt', 'rot-tilt'}, optional
         Projection mode which determines the :class:`~.pyramid.projector.Projector` subclass, which
         is used for the projection. Default is a simple projection along the `z`-direction.
-- 
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