acf.h

Function versions of acf_realref and acf_imagref, for language bindings.

Initialise x to zero, and free the memory used by x.

Allocate a vector of n numbers initialised to zero, and free such a vector.

Swaps z and x without copying.

Returns the number of bytes allocated on the heap by x, excluding sizeof(acf_struct).

Set z to x, respectively $-x$, exactly.

Set res to x, respectively $-x$, with both parts rounded to prec bits in the direction rnd. Bit 0 of the return value is the inexact flag of the real part and bit 1 that of the imaginary part.

Returns whether x and y are equal (both parts equal in the sense of arf_equal).

Returns the larger of arf_bits of the two parts.

Sets res to an upper bound for $|x|$.

Prints x as a + b*I with n significant decimal digits for each part (see arf_printd).

Sets both parts of x to random numbers as arf_randtest does.

Set res to $x + y$, $x - y$, respectively $xy$, with each part correctly rounded to prec bits in the direction rnd. Bit 0 of the return value is the inexact flag of the real part and bit 1 that of the imaginary part.

Set res to an approximation of $1/x$, respectively $x/y$. A real or purely imaginary divisor is handled by real divisions of the parts; otherwise $1/(a + bi) = (a - bi)/(a^2 + b^2)$ is used, with $a^2 + b^2$ computed by arf_sosq.

Sets res to an approximation of the principal square root of x.

Sets res to an approximation of $s + (-1)^{\mathit{subtract}} \sum_{i=0}^{\mathit{len}-1} x_i y_i$, where $s$ is initial (0 if NULL), with the conventions of arb_dot, using a fixed-point accumulation like that of acb_approx_dot.