5.2.1. numdifftools.tests package

5.2.1.1. numdifftools.tests.hamiltonian module

Created on Jun 25, 2016

@author: pab

class ClassicalHamiltonian

Bases: object

Hamiltonian

Parameters

nscalar

number of ions in the chain

wscalar

angular trap frequency

Cscalar

Coulomb constant times the electronic charge in SI units.

mscalar

the mass of a single trapped ion in the chain

initialposition()

Defines initial position as an estimate for the minimize process.

normal_modes(eigenvalues)

Return normal modes

Computed eigenvalues of the matrix Vx are of the form

(normal_modes)**2*m.

potential(positionvector)

Return potential

Parameters

positionvector: 1-d array (vector) of length n

positions of the n ions

run_hamiltonian(hessian, verbose=True)

5.2.1.2. numdifftools.tests.test_extrapolation module

class TestExtrapolation

Bases: object

setup_method()

test_dea3_on_trapz_sin()

test_dea_on_trapz_sin()

test_epsal()

test_richardson()

class TestRichardson

Bases: object

setup_method()

test_order_step_combinations()

5.2.1.3. numdifftools.tests.test_fornberg module

class ExampleFunctions

Bases: object

static fun0(z)

static fun1(z)

static fun10(z)

static fun11(z)

static fun12(z)

static fun13(z)

static fun14(z)

static fun2(z)

static fun3(z)

static fun4(z)

static fun5(z)

static fun6(z)

static fun7(z)

static fun8(z)

static fun9(z)

test_all_weights()

test_fd_derivative()

test_high_order_derivative() → None

test_low_order_derivative_on_example_functions()

test_weights()

5.2.1.4. numdifftools.tests.test_limits module

Created on 28. aug. 2015

@author: pab

class TestCStepGenerator

Bases: object

static test_default_base_step()

static test_default_generator()

static test_fixed_base_step()

class TestLimit

Bases: object

test_derivative_of_cos()

test_difficult_limit()

test_residue_1_div_1_minus_exp_x()

test_sinx_div_x()

class TestResidue

Bases: object

test_residue_1_div_1_minus_exp_x()

test_residue_1_div_sin_x2()

5.2.1.5. numdifftools.tests.test_multicomplex module

Created on 22. apr. 2015

@author: pab

class TestBicomplex

Bases: object

static test_add()

static test_arccos()

static test_arcsin()

static test_arg_c()

static test_assign()

test_conjugate()

static test_cos()

static test_der_abs()

static test_der_arccos()

static test_der_arccosh()

static test_der_arctan()

static test_der_cos()

static test_der_log()

static test_division()

static test_dot()

static test_eq()

test_flat()

static test_ge()

static test_gt()

test_init()

static test_le()

static test_lt()

static test_mod_c()

static test_multiplication()

test_neg()

test_norm()

static test_pow()

test_rdivision()

Test issue # 39

test_repr()

static test_rpow()

static test_rsub()

test_shape()

static test_sub()

static test_subsref()

class TestDerivative

Bases: object

static test_all_first_derivatives()

static test_all_second_derivatives()

5.2.1.6. numdifftools.tests.test_nd_algopy module

class TestDerivative

Bases: object

static test_derivative_cube()

Test for Issue 7

static test_derivative_exp() → None

static test_derivative_on_log() → None

test_derivative_on_sinh() → None

static test_derivative_sin()

static test_directional_diff()

static test_fun_with_additional_parameters()

Test for issue #9

static test_high_order_derivative_cos()

class TestGradient

Bases: object

static test_on_scalar_function()

class TestHessdiag

Bases: object

static test_forward()

static test_reverse()

class TestHessian

Bases: object

static test_hessian_cos_x_y__at_0_0()

test_run_hamiltonian()

class TestJacobian

Bases: object

static test_issue_25()

static test_on_matrix_valued_function()

static test_on_scalar_function()

test_on_vector_valued_function()

static test_scalar_to_vector() → None

5.2.1.7. numdifftools.tests.test_nd_scipy module

class TestGradient

Bases: object

static test_on_scalar_function()

class TestJacobian

Bases: object

test_issue_25()

test_on_matrix_valued_function()

static test_on_scalar_function()

test_on_vector_valued_function()

static test_scalar_to_vector() → None

5.2.1.8. numdifftools.tests.test_numdifftools module

Test functions for numdifftools module

class TestDerivative

Bases: object

test_backward_derivative_on_sinh()

test_central_and_forward_derivative_on_log()

static test_default_scale()

static test_derivative_cube()

Test for Issue 7

static test_derivative_exp()

static test_derivative_of_cos_x() → None

static test_derivative_sin()

static test_derivative_with_step_options()

static test_directional_diff()

static test_fun_with_additional_parameters()

Test for issue #9

static test_high_order_derivative_cos()

test_infinite_functions()

class TestGradient

Bases: object

static test_directional_diff()

static test_gradient()

static test_gradient_fulloutput()

Fix issue#52:

Gradient tries to apply squeeze to the output tuple containing both the result and the full_output object.

static test_issue_39()

Test that checks float/Bicomplex works

class TestHessdiag

Bases: object

test_complex()

test_default_step()

test_fixed_step() → None

class TestHessian

Bases: object

test_complex_hessian_issue_35()

static test_hessian_cos_x_y_at_0_0()

test_run_hamiltonian()

class TestJacobian

Bases: object

static test_issue_25()

static test_issue_27a()

Test for memory-error

static test_issue_27b()

Test for memory-error

static test_jacobian_fulloutput()

test

static test_on_matrix_valued_function()

static test_on_scalar_function()

static test_on_vector_valued_function()

static test_scalar_to_vector() → None

class TestRichardson

Bases: object

static test_central_forward_backward()

static test_complex()

5.2.1.9. numdifftools.tests.test_scripts module

test__find_default_scale_run_all_benchmarks()

test_profile_numdifftools_main()

test_profile_numdifftools_profile_hessian()

test_run_gradient_and_hessian_benchmarks()

5.2.1.10. numdifftools.tests.test_step_generators module

test__min_step_generator_with_step_nom1()

test_default_max_step_generator()

test_max_step_generator_default_base_step()

test_max_step_generator_with_base_step01()

test_min_step_generator_default_base_step()

test_min_step_generator_with_base_step01()

test_min_step_generator_with_step_ratio4()