taylor version 2

taylor generates an Ordinary Differential Equation (ODE) solver that

1. writes source and header codes automatically,
2. has a high level of reusability, and
3. is thread-safe.

Moreover, taylor also

4. allows flexible arithmetic definition,
5. provides highly-accurate numerical solutions,
6. incorporates jet transport, and
7. computes directional, first-order, and high-order variational equations.

We recommend reviewing the manual for further details.

Authors

Joan Gimeno, Angel Jorba, and Maorong Zou

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Changelog

Feb 13, 2024 -- v2.2

• Preprocessor of macro expansion, flag -input_only
• Uniform time grid for a taylor integration
• Runge Kutta steppers
• Wrapper for Python
• Header for ARB library
• MY_CLOUD datatype for vectorized integrations
• Power operator ** in ODE definition is now accepted
• Manual upgraded
• Other minor bugs fixed

May 26, 2023 -- v2.1

• New macro MY_JET_FUN and MY_COEF_FUN
• MY_SCAL has been changed by MY_COEF
• New arithmetics for MY_COEF: tree < nsym > < deg >, and myfloat
• New fprintf, fscanf, and sscanf of MY_JET
• New flag expression that allows use of expressions in input file
• New -1 flag in taylor_step to cover double log under/overflows.
• Macros GetNumSymbols and SetNumSymbols are now GetJetNumSymbols and SetJetNumSymbols respectively.
• Macros GetJetCoefficient and SetJetCoefficient merged into JetCoefficient
• Internal changes such as the use of enum for different arithmetic
• taylor1 compatibility with fortran77
• Manual updates

Nov 28, 2022 -- v2.0.2

• Complex types for double, long double, quadruple, and arbitrary precision.
• Option to provide NULL input in order or step size for step controls different than 0.
• Macros GetNumSymbols and GetJetVarDegree to know the working degrees and symbols.
• Minor bugs/typos corrected and corrected example 9.4.
• Manual updated.

Nov 07, 2022 -- v2.0.1

• Minor updates
  1. Removed static variables number_of_jet_vars, number_of_symbols, degree_of_jet_vars, monomial_counts, monomial_offsets and size_of_jet_variable from output files.
  2. Rename symbolic constants SIZE_OF_JET_VAR to _MAX_SIZE_OF_JET_VAR, _DEGREE_OF_JET_VARS to _MAX_DEGREE_OF_JET_VARS and _NUMBER_OF_SYMBOLS to _NUMBER_OF_MAX_SYMBOLS
  3. In taylor_step_xxx, allow user to pass NULL to ht, and order.
  4. Update Makefile in doc/example2 to use -jet_library jet_1.

Sep 15, 2022 -- v2.0.0

• First commit