amp_tracker.hpp File Reference

Contains the AMPTracker type, and necessary functions. More...

#include <assert.h>
#include <optional>
#include "bertini2/trackers/base_tracker.hpp"

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Classes
class	bertini::tracking::AMPTracker
	Functor-like class for tracking paths on a system. More...

Namespaces
namespace	bertini
namespace	bertini::tracking

Functions
real_mp	bertini::tracking::MinTimeForCurrentPrecision (unsigned precision, real_mp const &time_to_go, int safety_digits=3)
	The minimum time that can be represented effectively using a given precision.
real_mp	bertini::tracking::MinStepSizeForPrecision (unsigned precision, real_mp const &time_to_go, int safety_digits=3)
	Just another name for MinTimeForCurrentPrecision.
double	bertini::tracking::ArithmeticCost (unsigned precision)
	Compute the cost function for arithmetic versus precision.
template<typename RealT>
RealT	bertini::tracking::StepsizeSatisfyingCriterionB (unsigned precision, unsigned digits_B, unsigned num_newton_iterations, unsigned predictor_order=0)
	Compute a stepsize satisfying AMP Criterion B with a given precision.
unsigned	bertini::tracking::MinDigitsForLogOfStepsize (real_mp const &log_of_stepsize, real_mp const &time_to_go, unsigned safety_digits=3)
	The minimum number of digits based on a log10 of a stepsize.
unsigned	bertini::tracking::MinDigitsForStepsizeInterval (real_mp const &min_stepsize, real_mp const &max_stepsize, real_mp const &time_to_go)
	For a given range of stepsizes under consideration, gives the minimum number of digits.
unsigned	bertini::tracking::ExtraDigitsBeforePrecisionDecrease (unsigned current_precision)
	Bertini 1's precision-decrease hysteresis margin (from B1's AMP2_update).
void	bertini::tracking::ApplyPrecisionDecreaseMargin (int &digits_required, unsigned current_digits, unsigned extra)
	Apply B1's precision-decrease hysteresis to one digits requirement (B1 AMP2_update).
template<typename RealT>
void	bertini::tracking::MinimizeTrackingCost (unsigned &new_precision, RealT &new_stepsize, unsigned min_precision, RealT const &min_stepsize, unsigned max_precision, RealT const &max_stepsize, unsigned digits_B, unsigned num_newton_iterations, unsigned predictor_order=0)
	Compute precision and stepsize minimizing the ArithmeticCost() of tracking.
template<typename T>
T	bertini::tracking::max (T const &a, T const &b, T const &c)
	Three-argument form of max.

Detailed Description

Contains the AMPTracker type, and necessary functions.