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-rw-r--r--pyspike/PieceWiseLinFunc.py58
1 files changed, 58 insertions, 0 deletions
diff --git a/pyspike/PieceWiseLinFunc.py b/pyspike/PieceWiseLinFunc.py
index f2442be..c0dd475 100644
--- a/pyspike/PieceWiseLinFunc.py
+++ b/pyspike/PieceWiseLinFunc.py
@@ -29,6 +29,64 @@ class PieceWiseLinFunc:
self.y1 = np.array(y1)
self.y2 = np.array(y2)
+ def __call__(self, t):
+ """ Returns the function value for the given time t. If t is a list of
+ times, the corresponding list of values is returned.
+
+ :param: time t, or list of times
+ :returns: function value(s) at that time(s).
+ """
+ def intermediate_value(x0, x1, y0, y1, x):
+ """ computes the intermediate value of a linear function """
+ return y0 + (y1-y0)*(x-x0)/(x1-x0)
+
+ assert np.all(t >= self.x[0]) and np.all(t <= self.x[-1]), \
+ "Invalid time: " + str(t)
+
+ ind = np.searchsorted(self.x, t, side='right')
+
+ if isinstance(t, collections.Sequence):
+ # t is a sequence of values
+ # correct the cases t == x[0], t == x[-1]
+ ind[ind == 0] = 1
+ ind[ind == len(self.x)] = len(self.x)-1
+ value = intermediate_value(self.x[ind-1],
+ self.x[ind],
+ self.y1[ind-1],
+ self.y2[ind-1],
+ t)
+ # correct the values at exact spike times: there the value should
+ # be the at half of the step
+ # obtain the 'left' side indices for t
+ ind_l = np.searchsorted(self.x, t, side='left')
+ # if left and right side indices differ, the time t has to appear
+ # in self.x
+ ind_at_spike = np.logical_and(np.logical_and(ind != ind_l,
+ ind > 1),
+ ind < len(self.x))
+ # get the corresponding indices for the resulting value array
+ val_ind = np.arange(len(ind))[ind_at_spike]
+ # and for the values in self.x, y1, y2
+ xy_ind = ind[ind_at_spike]
+ # the values are defined as the average of the left and right limit
+ value[val_ind] = 0.5 * (self.y1[xy_ind-1] + self.y2[xy_ind-2])
+ return value
+ else: # t is a single value
+ # specific check for interval edges
+ if t == self.x[0]:
+ return self.y1[0]
+ if t == self.x[-1]:
+ return self.y2[-1]
+ # check if we are on any other exact spike time
+ if sum(self.x == t) > 0:
+ # use the middle of the left and right Spike value
+ return 0.5 * (self.y1[ind-1] + self.y2[ind-2])
+ return intermediate_value(self.x[ind-1],
+ self.x[ind],
+ self.y1[ind-1],
+ self.y2[ind-1],
+ t)
+
def copy(self):
""" Returns a copy of itself