funclp.Airy module

class funclp.Airy(**kwargs)[source]

Bases: Function

property Abbe

property Abbe_z

property FWHM

property NA

NA0 = None

NA_fit = False

NA_max = np.float32(inf)

NA_min = np.float32(-inf)

property Rayleigh

property Sparrow

property amp

static amp0(res, *args)

amp_fit = True

amp_max = np.float32(inf)

amp_min = np.float32(-inf)

property constants

property cpu_d_NA

property cpu_d_amp

property cpu_d_mu

property cpu_d_offset

property cpu_d_tol

property cpu_d_wl

property cpu_function

property cpukernel_d_NA

property cpukernel_d_amp

property cpukernel_d_mu

property cpukernel_d_offset

property cpukernel_d_tol

property cpukernel_d_wl

property cpukernel_function

d_NA

Decorator class defining universal function factory object from python kernel function, will create kernels, vectorized functions, jitted functions, stack functions, all on CPU / Parallel CPU / GPU.

Examples

>>> from funclp import Parameter, ufunc
>>> import numpy as np
...
>>> class MyClass() :
...     @ufunc(variables=['x', 'y'], data=['constant'], parameters=[Parameter('a', 1), Parameter('b', 0)])
...     def myfunc(x, y, constant, /, a, b) :
...         return a * x + b * y + constant
...     cuda = False
...
>>> instance = MyClass()
...
>>> x = np.arange(20).reshape((1, 20)) # Example of variables that can be broadcasted together
>>> y = np.arange(20).reshape((20, 1)) # Example of variables that can be broadcasted together
>>> constant = np.ones((5, 20, 20)) # Example of data with full shape
>>> a = np.arange(5) # Example of parameter vector
>>> b = 0.5 # Example of scalar use
>>> cpu_out = instance.myfunc(x, y, constant, a=a, b=b)
>>> instance.cuda = True
>>> gpu_out = instance.myfunc(x, y, constant, a=a, b=b)

…

d_amp

Decorator class defining universal function factory object from python kernel function, will create kernels, vectorized functions, jitted functions, stack functions, all on CPU / Parallel CPU / GPU.

Examples

>>> from funclp import Parameter, ufunc
>>> import numpy as np
...
>>> class MyClass() :
...     @ufunc(variables=['x', 'y'], data=['constant'], parameters=[Parameter('a', 1), Parameter('b', 0)])
...     def myfunc(x, y, constant, /, a, b) :
...         return a * x + b * y + constant
...     cuda = False
...
>>> instance = MyClass()
...
>>> x = np.arange(20).reshape((1, 20)) # Example of variables that can be broadcasted together
>>> y = np.arange(20).reshape((20, 1)) # Example of variables that can be broadcasted together
>>> constant = np.ones((5, 20, 20)) # Example of data with full shape
>>> a = np.arange(5) # Example of parameter vector
>>> b = 0.5 # Example of scalar use
>>> cpu_out = instance.myfunc(x, y, constant, a=a, b=b)
>>> instance.cuda = True
>>> gpu_out = instance.myfunc(x, y, constant, a=a, b=b)

…

d_mu

Decorator class defining universal function factory object from python kernel function, will create kernels, vectorized functions, jitted functions, stack functions, all on CPU / Parallel CPU / GPU.

Examples

>>> from funclp import Parameter, ufunc
>>> import numpy as np
...
>>> class MyClass() :
...     @ufunc(variables=['x', 'y'], data=['constant'], parameters=[Parameter('a', 1), Parameter('b', 0)])
...     def myfunc(x, y, constant, /, a, b) :
...         return a * x + b * y + constant
...     cuda = False
...
>>> instance = MyClass()
...
>>> x = np.arange(20).reshape((1, 20)) # Example of variables that can be broadcasted together
>>> y = np.arange(20).reshape((20, 1)) # Example of variables that can be broadcasted together
>>> constant = np.ones((5, 20, 20)) # Example of data with full shape
>>> a = np.arange(5) # Example of parameter vector
>>> b = 0.5 # Example of scalar use
>>> cpu_out = instance.myfunc(x, y, constant, a=a, b=b)
>>> instance.cuda = True
>>> gpu_out = instance.myfunc(x, y, constant, a=a, b=b)

…

d_offset

Decorator class defining universal function factory object from python kernel function, will create kernels, vectorized functions, jitted functions, stack functions, all on CPU / Parallel CPU / GPU.

Examples

>>> from funclp import Parameter, ufunc
>>> import numpy as np
...
>>> class MyClass() :
...     @ufunc(variables=['x', 'y'], data=['constant'], parameters=[Parameter('a', 1), Parameter('b', 0)])
...     def myfunc(x, y, constant, /, a, b) :
...         return a * x + b * y + constant
...     cuda = False
...
>>> instance = MyClass()
...
>>> x = np.arange(20).reshape((1, 20)) # Example of variables that can be broadcasted together
>>> y = np.arange(20).reshape((20, 1)) # Example of variables that can be broadcasted together
>>> constant = np.ones((5, 20, 20)) # Example of data with full shape
>>> a = np.arange(5) # Example of parameter vector
>>> b = 0.5 # Example of scalar use
>>> cpu_out = instance.myfunc(x, y, constant, a=a, b=b)
>>> instance.cuda = True
>>> gpu_out = instance.myfunc(x, y, constant, a=a, b=b)

…

d_tol

Decorator class defining universal function factory object from python kernel function, will create kernels, vectorized functions, jitted functions, stack functions, all on CPU / Parallel CPU / GPU.

Examples

>>> from funclp import Parameter, ufunc
>>> import numpy as np
...
>>> class MyClass() :
...     @ufunc(variables=['x', 'y'], data=['constant'], parameters=[Parameter('a', 1), Parameter('b', 0)])
...     def myfunc(x, y, constant, /, a, b) :
...         return a * x + b * y + constant
...     cuda = False
...
>>> instance = MyClass()
...
>>> x = np.arange(20).reshape((1, 20)) # Example of variables that can be broadcasted together
>>> y = np.arange(20).reshape((20, 1)) # Example of variables that can be broadcasted together
>>> constant = np.ones((5, 20, 20)) # Example of data with full shape
>>> a = np.arange(5) # Example of parameter vector
>>> b = 0.5 # Example of scalar use
>>> cpu_out = instance.myfunc(x, y, constant, a=a, b=b)
>>> instance.cuda = True
>>> gpu_out = instance.myfunc(x, y, constant, a=a, b=b)

…

d_wl

Decorator class defining universal function factory object from python kernel function, will create kernels, vectorized functions, jitted functions, stack functions, all on CPU / Parallel CPU / GPU.

Examples

>>> from funclp import Parameter, ufunc
>>> import numpy as np
...
>>> class MyClass() :
...     @ufunc(variables=['x', 'y'], data=['constant'], parameters=[Parameter('a', 1), Parameter('b', 0)])
...     def myfunc(x, y, constant, /, a, b) :
...         return a * x + b * y + constant
...     cuda = False
...
>>> instance = MyClass()
...
>>> x = np.arange(20).reshape((1, 20)) # Example of variables that can be broadcasted together
>>> y = np.arange(20).reshape((20, 1)) # Example of variables that can be broadcasted together
>>> constant = np.ones((5, 20, 20)) # Example of data with full shape
>>> a = np.arange(5) # Example of parameter vector
>>> b = 0.5 # Example of scalar use
>>> cpu_out = instance.myfunc(x, y, constant, a=a, b=b)
>>> instance.cuda = True
>>> gpu_out = instance.myfunc(x, y, constant, a=a, b=b)

…

data = []

property diameter

function

Decorator class defining universal function factory object from python kernel function, will create kernels, vectorized functions, jitted functions, stack functions, all on CPU / Parallel CPU / GPU.

Examples

>>> from funclp import Parameter, ufunc
>>> import numpy as np
...
>>> class MyClass() :
...     @ufunc(variables=['x', 'y'], data=['constant'], parameters=[Parameter('a', 1), Parameter('b', 0)])
...     def myfunc(x, y, constant, /, a, b) :
...         return a * x + b * y + constant
...     cuda = False
...
>>> instance = MyClass()
...
>>> x = np.arange(20).reshape((1, 20)) # Example of variables that can be broadcasted together
>>> y = np.arange(20).reshape((20, 1)) # Example of variables that can be broadcasted together
>>> constant = np.ones((5, 20, 20)) # Example of data with full shape
>>> a = np.arange(5) # Example of parameter vector
>>> b = 0.5 # Example of scalar use
>>> cpu_out = instance.myfunc(x, y, constant, a=a, b=b)
>>> instance.cuda = True
>>> gpu_out = instance.myfunc(x, y, constant, a=a, b=b)

…

property gpu_d_NA

property gpu_d_amp

property gpu_d_mu

property gpu_d_offset

property gpu_d_tol

property gpu_d_wl

property gpu_function

property gpukernel_d_NA

property gpukernel_d_amp

property gpukernel_d_mu

property gpukernel_d_offset

property gpukernel_d_tol

property gpukernel_d_wl

property gpukernel_function

property mu

static mu0(res, *args)

mu_fit = True

mu_max = np.float32(inf)

mu_min = np.float32(-inf)

n = 1.33

property offset

static offset0(res, *args)

offset_fit = True

offset_max = np.float32(inf)

offset_min = np.float32(-inf)

property parameters

psf(*args, **kwargs)[source]

python_d_NA(mu, amp, offset, wl, NA, tol)

python_d_amp(mu, amp, offset, wl, NA, tol)

python_d_mu(mu, amp, offset, wl, NA, tol)

python_d_offset(mu, amp, offset, wl, NA, tol)

python_d_tol(mu, amp, offset, wl, NA, tol)

python_d_wl(mu, amp, offset, wl, NA, tol)

python_function(mu=0.0, amp=1.0, offset=0.0, wl=550.0, NA=1.5, tol=1.0)

property radius

property sigma

property tol

tol0 = None

tol_fit = False

tol_max = np.float32(inf)

tol_min = np.float32(-inf)

variables = ['x']

property wl

wl0 = None

wl_fit = False

wl_max = np.float32(inf)

wl_min = np.float32(-inf)