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https://github.com/vale981/arb
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75 lines
3 KiB
ReStructuredText
75 lines
3 KiB
ReStructuredText
History and changes
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===============================================================================
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For more details, view the detailed commit log
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in the git repository https://github.com/fredrik-johansson/arb
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* 2013-01-26 - version 0.4
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* much faster fmpr_mul, fmprb_mul and set_round, resulting in general speed improvements
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* code for computing the complex Hurwitz zeta function with derivatives
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* fixed and documented error bounds for hypergeometric series
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* better algorithm for series evaluation of the gamma function at a rational point
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* much faster generation of Bernoulli numbers
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* complex log, exp, pow, trigonometric functions (currently based on MPFR)
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* complex nth roots via Newton iteration
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* added code for arithmetic on fmpcb_polys
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* code for computing Khinchin's constant
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* code for rising factorials of polynomials or power series
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* faster sin_cos
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* better div_2expm1
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* many other new helper functions
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* improved thread safety
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* more test code for core operations
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* 2012-11-07 - version 0.3
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* converted documentation to sphinx
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* new module fmpcb for ball interval arithmetic over the complex numbers
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* conversions, utility functions and arithmetic operations
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* new module fmpcb_mat for matrices over the complex numbers
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* conversions, utility functions and arithmetic operations
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* multiplication, LU decomposition, solving, inverse and determinant
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* new module fmpcb_poly for polynomials over the complex numbers
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* root isolation for complex polynomials
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* new module fmpz_holonomic for functions/sequences
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defined by linear differential/difference equations
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with polynomial coefficients
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* functions for creating various special sequences and functions
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* some closure properties for sequences
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* Taylor series expansion for differential equations
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* computing the nth entry of a sequence using binary splitting
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* computing the nth entry mod p using fast multipoint evaluation
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* generic binary splitting code with automatic error bounding is now
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used for evaluating hypergeometric series
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* matrix powering
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* various other helper functions
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* 2012-09-29 - version 0.2
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* code for computing the gamma function (Karatsuba, Stirling's series)
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* rising factorials
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* fast exp_series using Newton iteration
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* improved multiplication of small polynomials by using classical multiplication
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* implemented error propagation for square roots
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* polynomial division (Newton-based)
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* polynomial evaluation (Horner) and composition (divide-and-conquer)
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* product trees, fast multipoint evaluation and interpolation (various algorithms)
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* power series composition (Horner, Brent-Kung)
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* added the fmprb_mat module for matrices of balls of real numbers
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* matrix multiplication
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* interval-aware LU decomposition, solving, inverse and determinant
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* many helper functions and small bugfixes
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* 2012-09-14 - version 0.1
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* 2012-08-05 - began simplified rewrite
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* 2012-04-05 - experimental ball and polynomial code
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