Definition of basic types. More...

Macros
#define	true 1
	Boolean value true.

#define	false 0
	Boolean value false.

#define	PI (3.14159265358979323846264338327950288L)
	\( \pi \) with fp80 precision

#define	flog2 log2

#define	fhypot hypot

#define	ffloor floor

#define	fpow pow

#define	fexp exp

#define	fsin sin

#define	fcos cos

#define	ftan tan

#define	mpfr_getf mpfr_get_d

#define	precf 53

#define	PRECF_STR "53"

#define	TYPEFP_STR "FP64"

#define	TYPEF_STR "double"

#define	INF_M (-HUGE_VAL)

#define	INF_P HUGE_VAL

#define	FMT_COEFF "l"

#define	MAX_EXP (sizeof(coeff_t) == 8 ? 960 : 16320)

#define	HUGE_DEGREES

#define	MAX_DEG (UINT64_MAX - 1)

#define	FMT_DEG PRIu64

#define	plog2 log2

#define	pexp2 exp2

#define	phypot hypot

#define	pfloor floor

#define	pceil ceil

#define	mpfr_getp mpfr_get_d

#define	PEPS 1E-200

#define	PDEL 1E-12

#define	pexp exp

#define	pcos cos

#define	psin sin

#define	ptan tan

#define	pldexp ldexp

#define	pfrexp frexp

#define	FMT_REAL "l"

#define	HUGE_PREC

#define	MAX_PREC (16000000000000000000UL)

#define	HUGE_MP_EXP

#define	MAX_MP_EXP (4000000000000000000L)
	The integer number type to use for polynomial degrees and indexes.

#define	NEWTON_CONV_BITS 5

#define	NEWTON_ESCAPE_BITS 4

Typedefs
typedef uint8_t	byte
	`byte` is `uint8`

typedef uint16_t	word
	`word` is `uint16`

typedef uint32_t	uint
	`uint` is `uint32`

typedef uint64_t	ulong
	`ulong` is `uint64`

typedef byte	bool
	Logic type `bool` can take values true or false.

typedef double	coeff_t
	The machine number type to use for polynomial coefficients and evaluation.

typedef ulong	deg_t
	The integer number type to use for polynomial degrees and indexes.

typedef double	real_t
	The machine number type to use for polynomial analysis and preconditionning.

typedef ulong	prec_t
	The integer number type to use for polynomial degrees and indexes.

Functions
bool	ntypes_check (void)
	Use this function to check the compatibility of the machine with the settings above.

real_t	bits_sum (real_t b1, real_t b2)
	Computes `log_2`(2^b1+2^b2), even if `b1` or `b2` are outside the exponent range of real_t. More...

real_t	nt_err (real_t vb, real_t evb, real_t db, real_t edb)
	Computes `log_2(ntErr)`, where `ntErr` is an upper bound for the error of the Newton term. More...

Detailed Description

Definition of basic types.

Definition in file ntypes.h.

Function Documentation

Computes log_2(2^b1+2^b2), even if b1 or b2 are outside the exponent range of real_t.

Parameters

b1	first operand, in bits
b2	second operand, in bits

Returns: the bits sum of the operands, that is the base 2 log of their base 2 exponentials

Computes log_2(ntErr), where ntErr is an upper bound for the error of the Newton term.

Parameters