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update documentation

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This commit is contained in:
Fredrik Johansson 2012-11-07 18:16:29 +01:00
parent c96f9cf837
commit b51d81a107
2 changed files with 36 additions and 4 deletions
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38
doc/source/fmpcb.rst
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@ -52,16 +52,22 @@ Basic manipulation
Returns nonzero iff *z* is exact.
.. function:: fmpcb_zero(fmpcb_t z)
.. function:: void fmpcb_zero(fmpcb_t z)
.. function:: fmpcb_one(fmpcb_t z)
.. function:: void fmpcb_one(fmpcb_t z)
.. function:: fmpcb_onei(fmpcb_t z)
.. function:: void fmpcb_onei(fmpcb_t z)
Sets *z* respectively to 0, 1, `i = \sqrt{-1}`.
.. function:: void fmpcb_set(fmpcb_t z, const fmpcb_t x)
.. function:: void fmpcb_set_si(fmpcb_t z, long x)
.. function:: void fmpcb_set_fmpz(fmpcb_t z, const fmpz_t x)
.. function:: void fmpcb_set_fmpq(fmpcb_t z, const fmpq_t x, long prec)
Sets *z* to a copy of *x*.
.. function:: void fmpcb_swap(fmpcb_t z, fmpcb_t x)
@ -107,6 +113,16 @@ Precision and comparisons
Sets *u* to an upper bound for the absolute value of *z*, computed
using a working precision of *prec* bits.
.. function:: int fmpcb_contains_fmpq(const fmpcb_t x, const fmpq_t y)
.. function:: int fmpcb_contains_fmpz(const fmpcb_t x, const fmpz_t y)
Returns nonzero iff *y* is contained in *x*.
.. function:: int fmpcb_contains_zero(const fmpcb_t x)
Returns nonzero iff zero is contained in *x*.
Arithmetic
-------------------------------------------------------------------------------
@ -145,7 +161,23 @@ Arithmetic
the formula `e = ac - bd`, `f = (a+b)(c+d) - ac - bd`,
which requires three real multiplications instead of four.
.. function:: void fmpcb_addmul(fmpcb_t z, const fmpcb_t x, const fmpcb_t y, long prec)
.. function:: void fmpcb_submul(fmpcb_t z, const fmpcb_t x, const fmpcb_t y, long prec)
Adds (subtracts) the product of *x* and *y* to *z*.
.. function:: void fmpcb_inv(fmpcb_t z, const fmpcb_t x, long prec)
Sets *z* to the multiplicative inverse of *x*.
.. function:: void fmpcb_div(fmpcb_t z, const fmpcb_t x, const fmpcb_t y, long prec)
Sets *z* to the quotient of *x* and *y*.
.. function:: void fmpcb_pow_fmpz(fmpcb_t y, const fmpcb_t b, const fmpz_t e, long prec)
.. function:: void fmpcb_pow_ui(fmpcb_t y, const fmpcb_t b, ulong e, long prec)
Sets *y* to *b* raised to the power *e*.

2
doc/source/fmpz_holonomic.rst
View file

@ -22,7 +22,7 @@ equation
a_0(x) f(x) + a_1(x) f'(x) + \ldots + a_r(x) f^{(r)}(x) = 0.
A specific sequence of function is defined by fixing `r - 1` initial values
A specific sequence of function is defined by fixing `r` initial values
(derivatives), where `r` is called the *order* of the operator `A`.