Procedures

ProcedureLocationProcedure TypeDescription
begin_integration_rk_class rklib_module Subroutine

Begin an integration.
begin_integration_rk_fixed_step_class rklib_module Subroutine

Begin a rk_fixed_step_class integration.
begin_integration_rk_variable_step_class rklib_module Subroutine

Begin a rk_variable_step_class integration.
check_fsal_cache rklib_module Subroutine

Compute the function at t and x, or get it from the function evaluation cache if it is there (see set_fsal_cache). This is used by all the variable-step methods for the first stage of a step. It may already be in the cache because:

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clear_exception rklib_module Subroutine

Clear any exception.
compute_initial_step rklib_module Function

Compute the initial step size.
compute_stepsize rklib_module Subroutine

Compute the new step size using the specific method.
dense_check rklib_module Function

Check that the dense output can be used: the method has one, and it was enabled. If not, an error is raised.
dense_coefficients rklib_module Subroutine

Returns the dense output coefficients for the method. This is the default for methods that do not have a dense output (b is not allocated).

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dense_extra_stages rklib_module Subroutine

Compute any additional function evaluations needed for the dense output of the last accepted step, and store them in me%funcs (after the ones used by the step function). This is the default for methods that don't need any.

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dense_interval rklib_module Subroutine

Returns the interval of the last accepted step, which is where interpolate can be used. For example, this can be called from the report function to get the previous time and state, so that points in between can be computed.

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dense_invalidate rklib_module Subroutine

Mark the dense output data as invalid. This must be called before me%funcs is overwritten by a new step.
dense_save rklib_module Subroutine

Save the data needed for the dense output of a step that was just accepted. The function evaluations of the step are taken from me%funcs when interpolate is called, so this is only valid until the next step is taken.
destroy rklib_module Subroutine

Destructor for rk_class.
destroy_fsal_cache rklib_module Subroutine

Destructor for the function evaluation cache.
destroy_stepsize_class rklib_module Subroutine

Destructor for stepsize_class.
dverk65 rklib_module Interface
dverk65_properties rklib_module Interface
dverk78 rklib_module Interface
dverk78_dense_coefficients rklib_module Interface
dverk78_dense_extra_stages rklib_module Interface
dverk78_properties rklib_module Interface
euler rklib_module Interface
euler_properties rklib_module Interface
export_dense_output rklib_module Subroutine

Report the dense output points (at the fixed dense_output_step interval) within the last accepted step, that are before t_stop.

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export_point rklib_module Subroutine

Wrapper for exporting points during integration.
export_step rklib_module Subroutine

Export the point(s) after a step has been accepted (other than the last step). Either the end of the step, or the dense output points within the step (see export_dense_output).
failed rklib_module Function

Returns true if there was an error. Can use rk_class_status to get more info.
fvpol rklib_example Subroutine

Right-hand side of van der Pol equation
heun rklib_module Interface
heun_properties rklib_module Interface
hinit rklib_module Function

computation of an initial step size guess

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hstart rklib_module Subroutine

Computes a starting step size to be used in solving initial value problems in ordinary differential equations.

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info_variable_step rklib_module Subroutine

Return some info about the integration.
initialize_fixed_step rklib_module Subroutine

Initialize the rk_fixed_step_class.
initialize_rk_class rklib_module Subroutine

Initialize the rk_class.
initialize_variable_step rklib_module Subroutine

Initialize the rk_variable_step_class.
integrate_fixed_step rklib_module Subroutine

Main integration routine for the rk_class.
integrate_to_event_fixed_step rklib_module Subroutine

Event-finding integration routine for the rk_class. Integrates until g(t,x)=0, or until t=tf (whichever happens first).

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integrate_to_event_variable_step rklib_module Subroutine

Event-finding integration routine for the rk_variable_step_class. Integrates until g(t,x)=0, or until t=tf (whichever happens first).

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integrate_variable_step rklib_module Subroutine

Main integration routine for the rk_variable_step_class.
interpolate rklib_module Subroutine

Dense output: compute the state at a time within the last accepted step, using the continuous extension of the method (if it has one, see rklib_properties dense).

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maxval_func rklib_module Function

Use maxval(abs(x)) for computing the vector norm.
midpoint rklib_module Interface
midpoint_properties rklib_module Interface
norm2_func rklib_module Function

Use intrinsic norm2(x) for computing the vector norm.
order rklib_module Function

Returns the order of the RK method
raise_exception rklib_module Subroutine

Raise an exception.
rk3 rklib_module Interface
rk3_properties rklib_module Interface
rk4 rklib_module Interface
rk4_properties rklib_module Interface
rk5 rklib_module Interface
rk5_properties rklib_module Interface
rk7 rklib_module Interface
rk7_properties rklib_module Interface
rk8_10 rklib_module Interface
rk8_10_properties rklib_module Interface
rk8_12 rklib_module Interface
rk8_12_properties rklib_module Interface
rk_class_status rklib_module Subroutine

Get the status of an integration.
rk_class_stop rklib_module Subroutine

User-callable method to stop the integration (e.g., from f, g, or report). No further function evaluations are done, and the integrator returns, with the status set to RKLIB_ERROR_USER_STOPPED. This is not treated as an error (i.e., it does not stop the program if stop_on_errors is true).
rkb109 rklib_module Interface
rkb109_properties rklib_module Interface
rkb6 rklib_module Interface
rkb6_properties rklib_module Interface
rkbs32 rklib_module Interface
rkbs32_properties rklib_module Interface
rkbs54 rklib_module Interface
rkbs54_properties rklib_module Interface
rkc108 rklib_module Interface
rkc108_properties rklib_module Interface
rkc5 rklib_module Interface
rkc5_properties rklib_module Interface
rkc65 rklib_module Interface
rkc65_properties rklib_module Interface
rkck54 rklib_module Interface
rkck54_properties rklib_module Interface
rkcv8 rklib_module Interface
rkcv8_properties rklib_module Interface
rkdp54 rklib_module Interface
rkdp54_dense_coefficients rklib_module Interface
rkdp54_properties rklib_module Interface
rkdp65 rklib_module Interface
rkdp65_properties rklib_module Interface
rkdp85 rklib_module Interface
rkdp85_dense_coefficients rklib_module Interface
rkdp85_dense_extra_stages rklib_module Interface
rkdp85_properties rklib_module Interface
rkdp87 rklib_module Interface
rkdp87_dense_coefficients rklib_module Interface
rkdp87_dense_extra_stages rklib_module Interface
rkdp87_properties rklib_module Interface
rkev87 rklib_module Interface
rkev87_dense_coefficients rklib_module Interface
rkev87_dense_extra_stages rklib_module Interface
rkev87_properties rklib_module Interface
rkf108 rklib_module Interface
rkf108_properties rklib_module Interface
rkf1210 rklib_module Interface
rkf1210_properties rklib_module Interface
rkf1412 rklib_module Interface
rkf1412_properties rklib_module Interface
rkf45 rklib_module Interface
rkf45_properties rklib_module Interface
rkf78 rklib_module Interface
rkf78_properties rklib_module Interface
rkf89 rklib_module Interface
rkf89_properties rklib_module Interface
rkh10 rklib_module Interface
rkh10_properties rklib_module Interface
rkk87 rklib_module Interface
rkk87_properties rklib_module Interface
rkl5 rklib_module Interface
rkl5_properties rklib_module Interface
rklk5a rklib_module Interface
rklk5a_properties rklib_module Interface
rklk5b rklib_module Interface
rklk5b_properties rklib_module Interface
rkls44 rklib_module Interface
rkls44_properties rklib_module Interface
rkls54 rklib_module Interface
rkls54_properties rklib_module Interface
rko10 rklib_module Interface
rko10_properties rklib_module Interface
rko129 rklib_module Interface
rko129_properties rklib_module Interface
rkpp54 rklib_module Interface
rkpp54_properties rklib_module Interface
rkpp54b rklib_module Interface
rkpp54b_properties rklib_module Interface
rkr4 rklib_module Interface
rkr4_properties rklib_module Interface
rks10 rklib_module Interface
rks10_properties rklib_module Interface
rks1110a rklib_module Interface
rks1110a_properties rklib_module Interface
rks4 rklib_module Interface
rks4_properties rklib_module Interface
rks5 rklib_module Interface
rks54 rklib_module Interface
rks54_properties rklib_module Interface
rks5_properties rklib_module Interface
rks98 rklib_module Interface
rks98_properties rklib_module Interface
rkss54 rklib_module Interface
rkss54_properties rklib_module Interface
rkss76 rklib_module Interface
rkss76_properties rklib_module Interface
rkssp22 rklib_module Interface
rkssp22_properties rklib_module Interface
rkssp33 rklib_module Interface
rkssp33_properties rklib_module Interface
rkssp43 rklib_module Interface
rkssp43_properties rklib_module Interface
rkssp53 rklib_module Interface
rkssp53_properties rklib_module Interface
rkssp54 rklib_module Interface
rkssp54_properties rklib_module Interface
rkt54 rklib_module Interface
rkt54_properties rklib_module Interface
rkt98a rklib_module Interface
rkt98a_properties rklib_module Interface
rktf65 rklib_module Interface
rktf65_properties rklib_module Interface
rktmy7 rklib_module Interface
rktmy7_properties rklib_module Interface
rktmy7s rklib_module Interface
rktmy7s_properties rklib_module Interface
rktp64 rklib_module Interface
rktp64_properties rklib_module Interface
rktp75 rklib_module Interface
rktp75_properties rklib_module Interface
rktp86 rklib_module Interface
rktp86_properties rklib_module Interface
rkv65 rklib_module Interface
rkv65_properties rklib_module Interface
rkv65e rklib_module Interface
rkv65e_dense_coefficients rklib_module Interface
rkv65e_dense_extra_stages rklib_module Interface
rkv65e_properties rklib_module Interface
rkv65r rklib_module Interface
rkv65r_dense_coefficients rklib_module Interface
rkv65r_dense_extra_stages rklib_module Interface
rkv65r_properties rklib_module Interface
rkv76e rklib_module Interface
rkv76e_dense_coefficients rklib_module Interface
rkv76e_dense_extra_stages rklib_module Interface
rkv76e_properties rklib_module Interface
rkv76r rklib_module Interface
rkv76r_dense_coefficients rklib_module Interface
rkv76r_dense_extra_stages rklib_module Interface
rkv76r_properties rklib_module Interface
rkv78 rklib_module Interface
rkv78_properties rklib_module Interface
rkv87e rklib_module Interface
rkv87e_dense_coefficients rklib_module Interface
rkv87e_dense_extra_stages rklib_module Interface
rkv87e_properties rklib_module Interface
rkv87r rklib_module Interface
rkv87r_dense_coefficients rklib_module Interface
rkv87r_dense_extra_stages rklib_module Interface
rkv87r_properties rklib_module Interface
rkv89 rklib_module Interface
rkv89_properties rklib_module Interface
rkv98e rklib_module Interface
rkv98e_dense_coefficients rklib_module Interface
rkv98e_dense_extra_stages rklib_module Interface
rkv98e_properties rklib_module Interface
rkv98r rklib_module Interface
rkv98r_dense_coefficients rklib_module Interface
rkv98r_dense_extra_stages rklib_module Interface
rkv98r_properties rklib_module Interface
rkz10 rklib_module Interface
rkz10_properties rklib_module Interface
rms_func rklib_module Function

Use the root mean square, , for computing the vector norm. This is the norm used in Hairer's DOPRI5 and DOP853 codes.
set_fsal_cache rklib_module Subroutine

Compute the function and add it to the function evaluation cache, so that it can be reused by the next step (see check_fsal_cache). This is used for f at the end of a step: by the first-same-as-last (FSAL) methods (the last stage of the step), and by the methods whose dense output needs it as one of its extra stages (see dense_extra_stages).

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stepsize_class_constructor rklib_module Subroutine

Constructor for a stepsize_class.
stepsize_class_reset rklib_module Subroutine

Reset the internal state of the step size control. This is called at the start of each integration.
stepsize_class_tolerance rklib_module Function

The error tolerance vector for a step from x to xf: rtol*s + atol, where s depends on the rtol_scaling option.
call~~graph~~CallGraph interface~dverk65 dverk65_class%dverk65 interface~dverk65_properties dverk65_class%dverk65_properties interface~dverk78 dverk78_class%dverk78 interface~dverk78_dense_coefficients dverk78_class%dverk78_dense_coefficients interface~dverk78_dense_extra_stages dverk78_class%dverk78_dense_extra_stages interface~dverk78_properties dverk78_class%dverk78_properties interface~euler euler_class%euler interface~euler_properties euler_class%euler_properties interface~heun heun_class%heun interface~heun_properties heun_class%heun_properties interface~midpoint midpoint_class%midpoint interface~midpoint_properties midpoint_class%midpoint_properties interface~rk3 rk3_class%rk3 interface~rk3_properties rk3_class%rk3_properties interface~rk4 rk4_class%rk4 interface~rk4_properties rk4_class%rk4_properties interface~rk5 rk5_class%rk5 interface~rk5_properties rk5_class%rk5_properties interface~rk7 rk7_class%rk7 interface~rk7_properties rk7_class%rk7_properties interface~rk8_10 rk8_10_class%rk8_10 interface~rk8_10_properties rk8_10_class%rk8_10_properties interface~rk8_12 rk8_12_class%rk8_12 interface~rk8_12_properties rk8_12_class%rk8_12_properties interface~rkb109 rkb109_class%rkb109 interface~rkb109_properties rkb109_class%rkb109_properties interface~rkb6 rkb6_class%rkb6 interface~rkb6_properties rkb6_class%rkb6_properties interface~rkbs32 rkbs32_class%rkbs32 interface~rkbs32_properties rkbs32_class%rkbs32_properties interface~rkbs54 rkbs54_class%rkbs54 interface~rkbs54_properties rkbs54_class%rkbs54_properties interface~rkc108 rkc108_class%rkc108 interface~rkc108_properties rkc108_class%rkc108_properties interface~rkc5 rkc5_class%rkc5 interface~rkc5_properties rkc5_class%rkc5_properties interface~rkc65 rkc65_class%rkc65 interface~rkc65_properties rkc65_class%rkc65_properties interface~rkck54 rkck54_class%rkck54 interface~rkck54_properties rkck54_class%rkck54_properties interface~rkcv8 rkcv8_class%rkcv8 interface~rkcv8_properties rkcv8_class%rkcv8_properties interface~rkdp54 rkdp54_class%rkdp54 interface~rkdp54_dense_coefficients rkdp54_class%rkdp54_dense_coefficients interface~rkdp54_properties rkdp54_class%rkdp54_properties interface~rkdp65 rkdp65_class%rkdp65 interface~rkdp65_properties rkdp65_class%rkdp65_properties interface~rkdp85 rkdp85_class%rkdp85 interface~rkdp85_dense_coefficients rkdp85_class%rkdp85_dense_coefficients interface~rkdp85_dense_extra_stages rkdp85_class%rkdp85_dense_extra_stages interface~rkdp85_properties rkdp85_class%rkdp85_properties interface~rkdp87 rkdp87_class%rkdp87 interface~rkdp87_dense_coefficients rkdp87_class%rkdp87_dense_coefficients interface~rkdp87_dense_extra_stages rkdp87_class%rkdp87_dense_extra_stages interface~rkdp87_properties rkdp87_class%rkdp87_properties interface~rkev87 rkev87_class%rkev87 interface~rkev87_dense_coefficients rkev87_class%rkev87_dense_coefficients interface~rkev87_dense_extra_stages rkev87_class%rkev87_dense_extra_stages interface~rkev87_properties rkev87_class%rkev87_properties interface~rkf108 rkf108_class%rkf108 interface~rkf108_properties rkf108_class%rkf108_properties interface~rkf1210 rkf1210_class%rkf1210 interface~rkf1210_properties rkf1210_class%rkf1210_properties interface~rkf1412 rkf1412_class%rkf1412 interface~rkf1412_properties rkf1412_class%rkf1412_properties interface~rkf45 rkf45_class%rkf45 interface~rkf45_properties rkf45_class%rkf45_properties interface~rkf78 rkf78_class%rkf78 interface~rkf78_properties rkf78_class%rkf78_properties interface~rkf89 rkf89_class%rkf89 interface~rkf89_properties rkf89_class%rkf89_properties interface~rkh10 rkh10_class%rkh10 interface~rkh10_properties rkh10_class%rkh10_properties interface~rkk87 rkk87_class%rkk87 interface~rkk87_properties rkk87_class%rkk87_properties interface~rkl5 rkl5_class%rkl5 interface~rkl5_properties rkl5_class%rkl5_properties interface~rklk5a rklk5a_class%rklk5a interface~rklk5a_properties rklk5a_class%rklk5a_properties interface~rklk5b rklk5b_class%rklk5b interface~rklk5b_properties rklk5b_class%rklk5b_properties interface~rkls44 rkls44_class%rkls44 interface~rkls44_properties rkls44_class%rkls44_properties interface~rkls54 rkls54_class%rkls54 interface~rkls54_properties rkls54_class%rkls54_properties interface~rko10 rko10_class%rko10 interface~rko10_properties rko10_class%rko10_properties interface~rko129 rko129_class%rko129 interface~rko129_properties rko129_class%rko129_properties interface~rkpp54 rkpp54_class%rkpp54 interface~rkpp54_properties rkpp54_class%rkpp54_properties interface~rkpp54b rkpp54b_class%rkpp54b interface~rkpp54b_properties rkpp54b_class%rkpp54b_properties interface~rkr4 rkr4_class%rkr4 interface~rkr4_properties rkr4_class%rkr4_properties interface~rks10 rks10_class%rks10 interface~rks10_properties rks10_class%rks10_properties interface~rks1110a rks1110a_class%rks1110a interface~rks1110a_properties rks1110a_class%rks1110a_properties interface~rks4 rks4_class%rks4 interface~rks4_properties rks4_class%rks4_properties interface~rks5 rks5_class%rks5 interface~rks54 rks54_class%rks54 interface~rks54_properties rks54_class%rks54_properties interface~rks5_properties rks5_class%rks5_properties interface~rks98 rks98_class%rks98 interface~rks98_properties rks98_class%rks98_properties interface~rkss54 rkss54_class%rkss54 interface~rkss54_properties rkss54_class%rkss54_properties interface~rkss76 rkss76_class%rkss76 interface~rkss76_properties rkss76_class%rkss76_properties interface~rkssp22 rkssp22_class%rkssp22 interface~rkssp22_properties rkssp22_class%rkssp22_properties interface~rkssp33 rkssp33_class%rkssp33 interface~rkssp33_properties rkssp33_class%rkssp33_properties interface~rkssp43 rkssp43_class%rkssp43 interface~rkssp43_properties rkssp43_class%rkssp43_properties interface~rkssp53 rkssp53_class%rkssp53 interface~rkssp53_properties rkssp53_class%rkssp53_properties interface~rkssp54 rkssp54_class%rkssp54 interface~rkssp54_properties rkssp54_class%rkssp54_properties interface~rkt54 rkt54_class%rkt54 interface~rkt54_properties rkt54_class%rkt54_properties interface~rkt98a rkt98a_class%rkt98a interface~rkt98a_properties rkt98a_class%rkt98a_properties interface~rktf65 rktf65_class%rktf65 interface~rktf65_properties rktf65_class%rktf65_properties interface~rktmy7 rktmy7_class%rktmy7 interface~rktmy7_properties rktmy7_class%rktmy7_properties interface~rktmy7s rktmy7s_class%rktmy7s interface~rktmy7s_properties rktmy7s_class%rktmy7s_properties interface~rktp64 rktp64_class%rktp64 interface~rktp64_properties rktp64_class%rktp64_properties interface~rktp75 rktp75_class%rktp75 interface~rktp75_properties rktp75_class%rktp75_properties interface~rktp86 rktp86_class%rktp86 interface~rktp86_properties rktp86_class%rktp86_properties interface~rkv65 rkv65_class%rkv65 interface~rkv65_properties rkv65_class%rkv65_properties interface~rkv65e rkv65e_class%rkv65e interface~rkv65e_dense_coefficients rkv65e_class%rkv65e_dense_coefficients interface~rkv65e_dense_extra_stages rkv65e_class%rkv65e_dense_extra_stages interface~rkv65e_properties rkv65e_class%rkv65e_properties interface~rkv65r rkv65r_class%rkv65r interface~rkv65r_dense_coefficients rkv65r_class%rkv65r_dense_coefficients interface~rkv65r_dense_extra_stages rkv65r_class%rkv65r_dense_extra_stages interface~rkv65r_properties rkv65r_class%rkv65r_properties interface~rkv76e rkv76e_class%rkv76e interface~rkv76e_dense_coefficients rkv76e_class%rkv76e_dense_coefficients interface~rkv76e_dense_extra_stages rkv76e_class%rkv76e_dense_extra_stages interface~rkv76e_properties rkv76e_class%rkv76e_properties interface~rkv76r rkv76r_class%rkv76r interface~rkv76r_dense_coefficients rkv76r_class%rkv76r_dense_coefficients interface~rkv76r_dense_extra_stages rkv76r_class%rkv76r_dense_extra_stages interface~rkv76r_properties rkv76r_class%rkv76r_properties interface~rkv78 rkv78_class%rkv78 interface~rkv78_properties rkv78_class%rkv78_properties interface~rkv87e rkv87e_class%rkv87e interface~rkv87e_dense_coefficients rkv87e_class%rkv87e_dense_coefficients interface~rkv87e_dense_extra_stages rkv87e_class%rkv87e_dense_extra_stages interface~rkv87e_properties rkv87e_class%rkv87e_properties interface~rkv87r rkv87r_class%rkv87r interface~rkv87r_dense_coefficients rkv87r_class%rkv87r_dense_coefficients interface~rkv87r_dense_extra_stages rkv87r_class%rkv87r_dense_extra_stages interface~rkv87r_properties rkv87r_class%rkv87r_properties interface~rkv89 rkv89_class%rkv89 interface~rkv89_properties rkv89_class%rkv89_properties interface~rkv98e rkv98e_class%rkv98e interface~rkv98e_dense_coefficients rkv98e_class%rkv98e_dense_coefficients interface~rkv98e_dense_extra_stages rkv98e_class%rkv98e_dense_extra_stages interface~rkv98e_properties rkv98e_class%rkv98e_properties interface~rkv98r rkv98r_class%rkv98r interface~rkv98r_dense_coefficients rkv98r_class%rkv98r_dense_coefficients interface~rkv98r_dense_extra_stages rkv98r_class%rkv98r_dense_extra_stages interface~rkv98r_properties rkv98r_class%rkv98r_properties interface~rkz10 rkz10_class%rkz10 interface~rkz10_properties rkz10_class%rkz10_properties proc~begin_integration_rk_class rk_class%begin_integration_rk_class proc~clear_exception rk_class%clear_exception proc~begin_integration_rk_class->proc~clear_exception proc~dense_invalidate rk_class%dense_invalidate proc~begin_integration_rk_class->proc~dense_invalidate proc~begin_integration_rk_fixed_step_class rk_fixed_step_class%begin_integration_rk_fixed_step_class begin begin proc~begin_integration_rk_fixed_step_class->begin proc~begin_integration_rk_variable_step_class rk_variable_step_class%begin_integration_rk_variable_step_class proc~destroy_fsal_cache rk_variable_step_class%destroy_fsal_cache proc~begin_integration_rk_variable_step_class->proc~destroy_fsal_cache proc~stepsize_class_reset stepsize_class%stepsize_class_reset proc~begin_integration_rk_variable_step_class->proc~stepsize_class_reset proc~begin_integration_rk_variable_step_class->begin proc~check_fsal_cache rk_variable_step_class%check_fsal_cache proc~set_fsal_cache rk_variable_step_class%set_fsal_cache proc~check_fsal_cache->proc~set_fsal_cache proc~compute_initial_step rk_variable_step_class%compute_initial_step proc~hinit rk_variable_step_class%hinit proc~compute_initial_step->proc~hinit proc~hstart rk_variable_step_class%hstart proc~compute_initial_step->proc~hstart f f proc~compute_initial_step->f proc~compute_stepsize stepsize_class%compute_stepsize proc~dense_check rk_class%dense_check proc~raise_exception rk_class%raise_exception proc~dense_check->proc~raise_exception proc~dense_coefficients rk_class%dense_coefficients proc~dense_extra_stages rk_class%dense_extra_stages proc~dense_interval rk_class%dense_interval proc~dense_interval->proc~dense_check proc~dense_save rk_class%dense_save proc~destroy rk_class%destroy proc~destroy_stepsize_class stepsize_class%destroy_stepsize_class proc~dverk65 dverk65 proc~dverk65->proc~check_fsal_cache proc~dverk65->f funcs funcs proc~dverk65->funcs proc~dverk65_properties dverk65_properties proc~dverk78 dverk78 proc~dverk78->proc~check_fsal_cache proc~dverk78->f proc~dverk78->funcs proc~dverk78_dense_coefficients dverk78_dense_coefficients proc~dverk78_dense_extra_stages dverk78_dense_extra_stages proc~dverk78_dense_extra_stages->proc~set_fsal_cache proc~dverk78_dense_extra_stages->f proc~dverk78_dense_extra_stages->funcs proc~dverk78_properties dverk78_properties proc~euler euler proc~euler->f proc~euler->funcs proc~euler_properties euler_properties proc~export_dense_output rk_variable_step_class%export_dense_output proc~interpolate rk_class%interpolate proc~export_dense_output->proc~interpolate report report proc~export_dense_output->report proc~export_point rk_class%export_point proc~export_step rk_variable_step_class%export_step proc~export_step->proc~export_dense_output proc~export_step->proc~export_point proc~failed rk_class%failed proc~fvpol fvpol proc~heun heun proc~heun->f proc~heun->funcs proc~heun_properties heun_properties proc~order rk_variable_step_class%order proc~hinit->proc~order proc~hinit->f proc~hstart->proc~order proc~hstart->f proc~info_variable_step rk_variable_step_class%info_variable_step proc~initialize_fixed_step rk_fixed_step_class%initialize_fixed_step init init proc~initialize_fixed_step->init proc~initialize_rk_class rk_class%initialize_rk_class proc~initialize_rk_class->proc~dense_coefficients proc~initialize_rk_class->proc~dense_invalidate proc~initialize_rk_class->proc~destroy properties properties proc~initialize_rk_class->properties proc~initialize_variable_step rk_variable_step_class%initialize_variable_step proc~initialize_variable_step->proc~raise_exception proc~initialize_variable_step->init proc~initialize_variable_step->properties proc~integrate_fixed_step rk_fixed_step_class%integrate_fixed_step proc~integrate_fixed_step->proc~begin_integration_rk_fixed_step_class proc~integrate_fixed_step->proc~export_point proc~integrate_fixed_step->proc~raise_exception step step proc~integrate_fixed_step->step proc~integrate_to_event_fixed_step rk_fixed_step_class%integrate_to_event_fixed_step proc~integrate_to_event_fixed_step->proc~begin_integration_rk_fixed_step_class proc~integrate_to_event_fixed_step->proc~export_point proc~integrate_to_event_fixed_step->proc~raise_exception g g proc~integrate_to_event_fixed_step->g root_scalar root_scalar proc~integrate_to_event_fixed_step->root_scalar proc~integrate_to_event_fixed_step->step proc~integrate_to_event_variable_step rk_variable_step_class%integrate_to_event_variable_step proc~integrate_to_event_variable_step->proc~begin_integration_rk_variable_step_class proc~integrate_to_event_variable_step->proc~compute_initial_step proc~integrate_to_event_variable_step->proc~compute_stepsize proc~integrate_to_event_variable_step->proc~dense_invalidate proc~integrate_to_event_variable_step->proc~dense_save proc~integrate_to_event_variable_step->proc~export_dense_output proc~integrate_to_event_variable_step->proc~export_point proc~integrate_to_event_variable_step->proc~export_step proc~integrate_to_event_variable_step->proc~interpolate proc~integrate_to_event_variable_step->proc~order proc~integrate_to_event_variable_step->proc~raise_exception proc~stepsize_class_tolerance stepsize_class%stepsize_class_tolerance proc~integrate_to_event_variable_step->proc~stepsize_class_tolerance proc~integrate_to_event_variable_step->g proc~integrate_to_event_variable_step->root_scalar proc~integrate_to_event_variable_step->step proc~integrate_variable_step rk_variable_step_class%integrate_variable_step proc~integrate_variable_step->proc~begin_integration_rk_variable_step_class proc~integrate_variable_step->proc~compute_initial_step proc~integrate_variable_step->proc~compute_stepsize proc~integrate_variable_step->proc~dense_invalidate proc~integrate_variable_step->proc~dense_save proc~integrate_variable_step->proc~export_dense_output proc~integrate_variable_step->proc~export_point proc~integrate_variable_step->proc~export_step proc~integrate_variable_step->proc~order proc~integrate_variable_step->proc~raise_exception proc~integrate_variable_step->proc~stepsize_class_tolerance proc~integrate_variable_step->step proc~interpolate->proc~dense_extra_stages proc~interpolate->proc~raise_exception proc~maxval_func maxval_func proc~midpoint midpoint proc~midpoint->f proc~midpoint->funcs proc~midpoint_properties midpoint_properties proc~norm2_func norm2_func proc~order->properties proc~rk3 rk3 proc~rk3->f proc~rk3->funcs proc~rk3_properties rk3_properties proc~rk4 rk4 proc~rk4->f proc~rk4->funcs proc~rk4_properties rk4_properties proc~rk5 rk5 proc~rk5->f proc~rk5->funcs proc~rk5_properties rk5_properties proc~rk7 rk7 proc~rk7->f proc~rk7->funcs proc~rk7_properties rk7_properties proc~rk8_10 rk8_10 proc~rk8_10->f proc~rk8_10->funcs proc~rk8_10_properties rk8_10_properties proc~rk8_12 rk8_12 proc~rk8_12->f proc~rk8_12->funcs proc~rk8_12_properties rk8_12_properties proc~rk_class_status rk_class%rk_class_status proc~rk_class_stop rk_class%rk_class_stop proc~rkb109 rkb109 proc~rkb109->proc~check_fsal_cache proc~rkb109->f proc~rkb109->funcs proc~rkb109_properties rkb109_properties proc~rkb6 rkb6 proc~rkb6->f proc~rkb6->funcs proc~rkb6_properties rkb6_properties proc~rkbs32 rkbs32 proc~rkbs32->proc~check_fsal_cache proc~rkbs32->proc~set_fsal_cache proc~rkbs32->f proc~rkbs32->funcs proc~rkbs32_properties rkbs32_properties proc~rkbs54 rkbs54 proc~rkbs54->proc~check_fsal_cache proc~rkbs54->f proc~rkbs54->funcs proc~rkbs54_properties rkbs54_properties proc~rkc108 rkc108 proc~rkc108->proc~check_fsal_cache proc~rkc108->f proc~rkc108->funcs proc~rkc108_properties rkc108_properties proc~rkc5 rkc5 proc~rkc5->f proc~rkc5->funcs proc~rkc5_properties rkc5_properties proc~rkc65 rkc65 proc~rkc65->proc~check_fsal_cache proc~rkc65->f proc~rkc65->funcs proc~rkc65_properties rkc65_properties proc~rkck54 rkck54 proc~rkck54->proc~check_fsal_cache proc~rkck54->f proc~rkck54->funcs proc~rkck54_properties rkck54_properties proc~rkcv8 rkcv8 proc~rkcv8->f proc~rkcv8->funcs proc~rkcv8_properties rkcv8_properties proc~rkdp54 rkdp54 proc~rkdp54->proc~check_fsal_cache proc~rkdp54->proc~set_fsal_cache proc~rkdp54->f proc~rkdp54->funcs proc~rkdp54_dense_coefficients rkdp54_dense_coefficients proc~rkdp54_properties rkdp54_properties proc~rkdp65 rkdp65 proc~rkdp65->proc~check_fsal_cache proc~rkdp65->f proc~rkdp65->funcs proc~rkdp65_properties rkdp65_properties proc~rkdp85 rkdp85 proc~rkdp85->proc~check_fsal_cache proc~rkdp85->f proc~rkdp85->funcs norm norm proc~rkdp85->norm tolerance tolerance proc~rkdp85->tolerance proc~rkdp85_dense_coefficients rkdp85_dense_coefficients proc~rkdp85_dense_extra_stages rkdp85_dense_extra_stages proc~rkdp85_dense_extra_stages->proc~set_fsal_cache proc~rkdp85_dense_extra_stages->f proc~rkdp85_dense_extra_stages->funcs proc~rkdp85_properties rkdp85_properties proc~rkdp87 rkdp87 proc~rkdp87->proc~check_fsal_cache proc~rkdp87->f proc~rkdp87->funcs proc~rkdp87_dense_coefficients rkdp87_dense_coefficients proc~rkdp87_dense_extra_stages rkdp87_dense_extra_stages proc~rkdp87_dense_extra_stages->proc~set_fsal_cache proc~rkdp87_dense_extra_stages->f proc~rkdp87_dense_extra_stages->funcs proc~rkdp87_properties rkdp87_properties proc~rkev87 rkev87 proc~rkev87->proc~check_fsal_cache proc~rkev87->f proc~rkev87->funcs proc~rkev87_dense_coefficients rkev87_dense_coefficients proc~rkev87_dense_extra_stages rkev87_dense_extra_stages proc~rkev87_dense_extra_stages->proc~set_fsal_cache proc~rkev87_dense_extra_stages->f proc~rkev87_dense_extra_stages->funcs proc~rkev87_properties rkev87_properties proc~rkf108 rkf108 proc~rkf108->proc~check_fsal_cache proc~rkf108->f proc~rkf108->funcs proc~rkf108_properties rkf108_properties proc~rkf1210 rkf1210 proc~rkf1210->proc~check_fsal_cache proc~rkf1210->f proc~rkf1210->funcs proc~rkf1210_properties rkf1210_properties proc~rkf1412 rkf1412 proc~rkf1412->proc~check_fsal_cache proc~rkf1412->f proc~rkf1412->funcs proc~rkf1412_properties rkf1412_properties proc~rkf45 rkf45 proc~rkf45->proc~check_fsal_cache proc~rkf45->f proc~rkf45->funcs proc~rkf45_properties rkf45_properties proc~rkf78 rkf78 proc~rkf78->proc~check_fsal_cache proc~rkf78->f proc~rkf78->funcs proc~rkf78_properties rkf78_properties proc~rkf89 rkf89 proc~rkf89->proc~check_fsal_cache proc~rkf89->f proc~rkf89->funcs proc~rkf89_properties rkf89_properties proc~rkh10 rkh10 proc~rkh10->f proc~rkh10->funcs proc~rkh10_properties rkh10_properties proc~rkk87 rkk87 proc~rkk87->proc~check_fsal_cache proc~rkk87->f proc~rkk87->funcs proc~rkk87_properties rkk87_properties proc~rkl5 rkl5 proc~rkl5->f proc~rkl5->funcs proc~rkl5_properties rkl5_properties proc~rklk5a rklk5a proc~rklk5a->f proc~rklk5a->funcs proc~rklk5a_properties rklk5a_properties proc~rklk5b rklk5b proc~rklk5b->f proc~rklk5b->funcs proc~rklk5b_properties rklk5b_properties proc~rkls44 rkls44 proc~rkls44->f proc~rkls44->funcs proc~rkls44_properties rkls44_properties proc~rkls54 rkls54 proc~rkls54->f proc~rkls54->funcs proc~rkls54_properties rkls54_properties proc~rko10 rko10 proc~rko10->f proc~rko10->funcs proc~rko10_properties rko10_properties proc~rko129 rko129 proc~rko129->proc~check_fsal_cache proc~rko129->f proc~rko129->funcs proc~rko129_properties rko129_properties proc~rkpp54 rkpp54 proc~rkpp54->proc~check_fsal_cache proc~rkpp54->proc~set_fsal_cache proc~rkpp54->f proc~rkpp54->funcs proc~rkpp54_properties rkpp54_properties proc~rkpp54b rkpp54b proc~rkpp54b->proc~check_fsal_cache proc~rkpp54b->proc~set_fsal_cache proc~rkpp54b->f proc~rkpp54b->funcs proc~rkpp54b_properties rkpp54b_properties proc~rkr4 rkr4 proc~rkr4->f proc~rkr4->funcs proc~rkr4_properties rkr4_properties proc~rks10 rks10 proc~rks10->f proc~rks10->funcs proc~rks10_properties rks10_properties proc~rks1110a rks1110a proc~rks1110a->proc~check_fsal_cache proc~rks1110a->f proc~rks1110a->funcs proc~rks1110a_properties rks1110a_properties proc~rks4 rks4 proc~rks4->f proc~rks4->funcs proc~rks4_properties rks4_properties proc~rks5 rks5 proc~rks5->f proc~rks5->funcs proc~rks54 rks54 proc~rks54->proc~check_fsal_cache proc~rks54->proc~set_fsal_cache proc~rks54->f proc~rks54->funcs proc~rks54_properties rks54_properties proc~rks5_properties rks5_properties proc~rks98 rks98 proc~rks98->proc~check_fsal_cache proc~rks98->f proc~rks98->funcs proc~rks98_properties rks98_properties proc~rkss54 rkss54 proc~rkss54->proc~check_fsal_cache proc~rkss54->f proc~rkss54->funcs proc~rkss54_properties rkss54_properties proc~rkss76 rkss76 proc~rkss76->proc~check_fsal_cache proc~rkss76->f proc~rkss76->funcs proc~rkss76_properties rkss76_properties proc~rkssp22 rkssp22 proc~rkssp22->f proc~rkssp22->funcs proc~rkssp22_properties rkssp22_properties proc~rkssp33 rkssp33 proc~rkssp33->f proc~rkssp33->funcs proc~rkssp33_properties rkssp33_properties proc~rkssp43 rkssp43 proc~rkssp43->proc~check_fsal_cache proc~rkssp43->f proc~rkssp43->funcs proc~rkssp43_properties rkssp43_properties proc~rkssp53 rkssp53 proc~rkssp53->f proc~rkssp53->funcs proc~rkssp53_properties rkssp53_properties proc~rkssp54 rkssp54 proc~rkssp54->f proc~rkssp54->funcs proc~rkssp54_properties rkssp54_properties proc~rkt54 rkt54 proc~rkt54->proc~check_fsal_cache proc~rkt54->proc~set_fsal_cache proc~rkt54->f proc~rkt54->funcs proc~rkt54_properties rkt54_properties proc~rkt98a rkt98a proc~rkt98a->proc~check_fsal_cache proc~rkt98a->f proc~rkt98a->funcs proc~rkt98a_properties rkt98a_properties proc~rktf65 rktf65 proc~rktf65->proc~check_fsal_cache proc~rktf65->proc~set_fsal_cache proc~rktf65->f proc~rktf65->funcs proc~rktf65_properties rktf65_properties proc~rktmy7 rktmy7 proc~rktmy7->proc~check_fsal_cache proc~rktmy7->f proc~rktmy7->funcs proc~rktmy7_properties rktmy7_properties proc~rktmy7s rktmy7s proc~rktmy7s->proc~check_fsal_cache proc~rktmy7s->f proc~rktmy7s->funcs proc~rktmy7s_properties rktmy7s_properties proc~rktp64 rktp64 proc~rktp64->proc~check_fsal_cache proc~rktp64->f proc~rktp64->funcs proc~rktp64_properties rktp64_properties proc~rktp75 rktp75 proc~rktp75->proc~check_fsal_cache proc~rktp75->f proc~rktp75->funcs proc~rktp75_properties rktp75_properties proc~rktp86 rktp86 proc~rktp86->proc~check_fsal_cache proc~rktp86->f proc~rktp86->funcs proc~rktp86_properties rktp86_properties proc~rkv65 rkv65 proc~rkv65->proc~check_fsal_cache proc~rkv65->f proc~rkv65->funcs proc~rkv65_properties rkv65_properties proc~rkv65e rkv65e proc~rkv65e->proc~check_fsal_cache proc~rkv65e->proc~set_fsal_cache proc~rkv65e->f proc~rkv65e->funcs proc~rkv65e_dense_coefficients rkv65e_dense_coefficients proc~rkv65e_dense_extra_stages rkv65e_dense_extra_stages proc~rkv65e_dense_extra_stages->f proc~rkv65e_dense_extra_stages->funcs proc~rkv65e_properties rkv65e_properties proc~rkv65r rkv65r proc~rkv65r->proc~check_fsal_cache proc~rkv65r->proc~set_fsal_cache proc~rkv65r->f proc~rkv65r->funcs proc~rkv65r_dense_coefficients rkv65r_dense_coefficients proc~rkv65r_dense_extra_stages rkv65r_dense_extra_stages proc~rkv65r_dense_extra_stages->f proc~rkv65r_dense_extra_stages->funcs proc~rkv65r_properties rkv65r_properties proc~rkv76e rkv76e proc~rkv76e->proc~check_fsal_cache proc~rkv76e->f proc~rkv76e->funcs proc~rkv76e_dense_coefficients rkv76e_dense_coefficients proc~rkv76e_dense_extra_stages rkv76e_dense_extra_stages proc~rkv76e_dense_extra_stages->proc~set_fsal_cache proc~rkv76e_dense_extra_stages->f proc~rkv76e_dense_extra_stages->funcs proc~rkv76e_properties rkv76e_properties proc~rkv76r rkv76r proc~rkv76r->proc~check_fsal_cache proc~rkv76r->f proc~rkv76r->funcs proc~rkv76r_dense_coefficients rkv76r_dense_coefficients proc~rkv76r_dense_extra_stages rkv76r_dense_extra_stages proc~rkv76r_dense_extra_stages->proc~set_fsal_cache proc~rkv76r_dense_extra_stages->f proc~rkv76r_dense_extra_stages->funcs proc~rkv76r_properties rkv76r_properties proc~rkv78 rkv78 proc~rkv78->proc~check_fsal_cache proc~rkv78->f proc~rkv78->funcs proc~rkv78_properties rkv78_properties proc~rkv87e rkv87e proc~rkv87e->proc~check_fsal_cache proc~rkv87e->f proc~rkv87e->funcs proc~rkv87e_dense_coefficients rkv87e_dense_coefficients proc~rkv87e_dense_extra_stages rkv87e_dense_extra_stages proc~rkv87e_dense_extra_stages->proc~set_fsal_cache proc~rkv87e_dense_extra_stages->f proc~rkv87e_dense_extra_stages->funcs proc~rkv87e_properties rkv87e_properties proc~rkv87r rkv87r proc~rkv87r->proc~check_fsal_cache proc~rkv87r->f proc~rkv87r->funcs proc~rkv87r_dense_coefficients rkv87r_dense_coefficients proc~rkv87r_dense_extra_stages rkv87r_dense_extra_stages proc~rkv87r_dense_extra_stages->proc~set_fsal_cache proc~rkv87r_dense_extra_stages->f proc~rkv87r_dense_extra_stages->funcs proc~rkv87r_properties rkv87r_properties proc~rkv89 rkv89 proc~rkv89->proc~check_fsal_cache proc~rkv89->f proc~rkv89->funcs proc~rkv89_properties rkv89_properties proc~rkv98e rkv98e proc~rkv98e->proc~check_fsal_cache proc~rkv98e->f proc~rkv98e->funcs proc~rkv98e_dense_coefficients rkv98e_dense_coefficients proc~rkv98e_dense_extra_stages rkv98e_dense_extra_stages proc~rkv98e_dense_extra_stages->proc~set_fsal_cache proc~rkv98e_dense_extra_stages->f proc~rkv98e_dense_extra_stages->funcs proc~rkv98e_properties rkv98e_properties proc~rkv98r rkv98r proc~rkv98r->proc~check_fsal_cache proc~rkv98r->f proc~rkv98r->funcs proc~rkv98r_dense_coefficients rkv98r_dense_coefficients proc~rkv98r_dense_extra_stages rkv98r_dense_extra_stages proc~rkv98r_dense_extra_stages->proc~set_fsal_cache proc~rkv98r_dense_extra_stages->f proc~rkv98r_dense_extra_stages->funcs proc~rkv98r_properties rkv98r_properties proc~rkz10 rkz10 proc~rkz10->f proc~rkz10->funcs proc~rkz10_properties rkz10_properties proc~rms_func rms_func proc~set_fsal_cache->f proc~stepsize_class_constructor stepsize_class%stepsize_class_constructor proc~stepsize_class_constructor->proc~stepsize_class_reset program~rklib_example rklib_example program~rklib_example->proc~initialize_variable_step program~rklib_example->proc~integrate_variable_step program~rklib_example->proc~rk_class_status
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