module_toolbox_num Namespace Reference

Classes
class	ToolboxNumError

Functions
def	row_beg2end
def	col_beg2end
def	vec_beg2end
def	is_sortable
def	nearest
def	encadre
def	interpolation1D
def	interpolate
def	gridpos
def	polint
def	cell2grid
def	grid2cell
def	gaussian
	Gaussian function. More...
def	fit_gaussian
	Fit data with a gaussian. More...
def	fit_gaussian_latitude
	Fit latitudes with a gaussian. More...
def	fit_gaussian_longitude
	Fit longitudes with a gaussian. More...

Function Documentation

def module_toolbox_num.cell2grid

(

cells

)

From a cell centered coordinate axis (c_i)_{i in [0,N-1]},
compute the grid points coordinates (g_i)_{i in [0,N]}:
g_{i+1} = \frac{c_{i} + c_{i+1}}{2} for all i in [0,N-2]
g_{0} = 2*c_{0}   - g_{1}
g_{N} = 2*c_{N-1} - g_{N-1}

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def module_toolbox_num.col_beg2end	(		j0,
			input_mat
	)

For a matrix, put the columns from 0 to j0-1 (include) at the end
and translate every other columns.

def module_toolbox_num.encadre	(		items,
			pivot
	)

In a list of object with order relation, find nearest items from pivot.
For a given list (a_i)_{i=1..N} and a given pivot x, return:
[a_{i0}, a{j0}] such that 
a_{i0} is the nearest item from x
a{j0} the element just after x if a_{i0} < x or just before x if a_{i0} > x

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def module_toolbox_num.fit_gaussian	(		xbins,
			ydata
	)

Fit data with a gaussian.

Does not fit the data directly, but the number of point present in some given bins.

Parameters

[in]	xbins,:	bins of x axis. Lenght M
[in]	ydata,:	data. Length N (at least 100)
[out]	a,:	amplitude of the fitted distribution
[out]	mean,:	mean of the fitted distribution
[out]	sigma,:	standard deviation of the fitted distribution
[out]	perr,:	np.array(3). Sqrt(variance) for each parameter

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def module_toolbox_num.fit_gaussian_latitude	(		latitudes,
			bin_width = 1.
	)

Fit latitudes with a gaussian.

Parameters

[in]	latitudes,:	np.array
[out]	a,mean,sigma,perr

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def module_toolbox_num.fit_gaussian_longitude	(		longitudes,
			bin_width = 1.
	)

Fit longitudes with a gaussian.

Parameters

[in]	longitudes,:	np.array
[out]	a,mean,sigma,perr

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def module_toolbox_num.gaussian	(		x,
			a,
			mean,
			sigma
	)

Gaussian function.

Parameters

[in]	x,:	np.array for x values
[in]	a,:	amplitude
[in]	mean,:	mean
[in]	sigma,:	standard deviation
[out]	gaussian	as np.array

def module_toolbox_num.grid2cell

(

grids

)

From a grid centered coordinate axis (g_i)_{i in [0,N]},
compute the cell points coordinates (c_i)_{i in [0,N-1]}:
c_{i} = \frac{g_{i} + g_{i+1}}{2} for all i in [0,N-1]

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def module_toolbox_num.gridpos	(		x,
			x0
	)

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def module_toolbox_num.interpolate	(		x,
			y,
			f,
			nptx,
			npty,
			x0,
			y0
	)

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def module_toolbox_num.interpolation1D	(		x,
			y,
			x0,
			kind = 'linear'
	)

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def module_toolbox_num.is_sortable

(

obj

)

Check if an object has an order relation in Python 2.X or 3.X

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def module_toolbox_num.nearest	(		items,
			pivot
	)

In a list of object with order relation, find the nearest item from pivot.

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def module_toolbox_num.polint	(		xa,
			ya,
			x
	)

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def module_toolbox_num.row_beg2end	(		i0,
			input_mat
	)

For a matrix, put the row from 0 to i0-1 (include) at the end
and translate every other rows.

def module_toolbox_num.vec_beg2end	(		i0,
			input_vec
	)

For a vector, put the first i0 at the end
and translate every other.