# SLEEF - Quad-precision math library reference (AArch64)

## Table of contents

- Introduction
- Compiling and installing the library
- Math library reference
- Quad-precision math library reference
  - Data types and functions for all architectures
  - Data types and functions for x86 architecture
  - Data types and functions for AArch64 architecture
  - Data types
  - Functions for accessing elements inside vector variable
  - Conversion functions
  - Comparison and selection functions
  - Math functions
  - Data types and functions for PPC64 architecture
  - Data types and functions for System/390 architecture
  - Data types and functions for CUDA
- DFT library reference
- Other tools included in the package
- Benchmark results
- Additional notes

## Data types

Sleef_quadx2

Description

Sleef_quadx2 is a data type for retaining two QP FP numbers. Please use Sleef_loadq2, Sleef_storeq2, Sleef_getq2 and Sleef_setq2 functions to access the data inside variables in this data type.

Sleef_svquad

Description

Sleef_svquad is a data type for retaining a vector of QP FP numbers. Please use Sleef_loadqx_sve, Sleef_storeqx_sve, Sleef_getqx_sve and Sleef_setqx_sve functions to access the data inside variables in this data type.

## Functions for accessing elements inside vector variable

Load QP FP values into vector variable

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_loadq2( Sleef_quad * ptr );
Sleef_quadx2 Sleef_loadq2_advsimd( Sleef_quad * ptr );
Sleef_svquad Sleef_loadqx_sve( Sleef_quad * ptr );
Link with -lsleefquad.

Description

These functions load QP FP values from memory and store the results in a vector variable.

Store QP FP values in a vector variable to memory

Synopsis

#include <sleefquad.h>
void Sleef_storeq2( Sleef_quad * ptr, Sleef_quadx2 v );
void Sleef_storeq2_advsimd( Sleef_quad * ptr, Sleef_quadx2 v );
void Sleef_storeqx_sve( Sleef_quad * ptr, Sleef_svquad v );
Link with -lsleefquad.

Description

These functions store QP FP values in the given variable to memory.

Extract one element from QP FP vector variable

Synopsis

#include <sleefquad.h>
Sleef_quad Sleef_getq2( Sleef_quadx2 v, int index );
Sleef_quad Sleef_getq2_advsimd( Sleef_quadx2 v, int index );
Sleef_quad Sleef_getqx_sve( Sleef_svquad v, int index );
Link with -lsleefquad.

Description

These functions extract the index-th element from a QP FP vector variable.

Set one element in QP FP vector variable

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_setq2( Sleef_quadx2 v, int index, Sleef_quad e );
Sleef_quadx2 Sleef_setq2_advsimd( Sleef_quadx2 v, int index, Sleef_quad e );
Sleef_svquad Sleef_setqx_sve( Sleef_svquad v, int index, Sleef_quad e );
Link with -lsleefquad.

Description

These functions return a QP FP vector in which the index-th element is e, and other elements are the same as v.

Set all elements in QP FP vector to the same value

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_splatq2( Sleef_quad e );
Sleef_quadx2 Sleef_splatq2_advsimd( Sleef_quad e );
Sleef_svquad Sleef_splatqx_sve( Sleef_quad e );
Link with -lsleefquad.

Description

These functions return a QP FP vector in which all elements are set to e.

## Conversion functions

Convert QP number to double-precision number

Synopsis

#include <sleefquad.h>
float64x2_t Sleef_cast_to_doubleq2( Sleef_quadx2 a );
float64x2_t Sleef_cast_to_doubleq2_advsimd( Sleef_quadx2 a );
svfloat64_t Sleef_cast_to_doubleqx_sve( Sleef_svquad a );
Link with -lsleefquad.

Description

These functions convert a QP FP value to a double-precision value.

Convert double-precision number to QP number

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_cast_from_doubleq2( float64x2_t a );
Sleef_quadx2 Sleef_cast_from_doubleq2_advsimd( float64x2_t a );
Sleef_svquad Sleef_cast_from_doubleqx_sve( svfloat64_t a );
Link with -lsleefquad.

Description

These functions convert a double-precision value to a QP FP value.

Convert QP number to 64-bit signed integer

Synopsis

#include <sleefquad.h>
int64x2_t Sleef_cast_to_int64q2( Sleef_quadx2 a );
int64x2_t Sleef_cast_to_int64q2_advsimd( Sleef_quadx2 a );
svint64_t Sleef_cast_to_int64qx_sve( Sleef_svquad a );
Link with -lsleefquad.

Description

These functions convert a QP FP value to a 64-bit signed integer.

Convert 64-bit signed integer to QP number

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_cast_from_int64q2( int64x2_t a );
Sleef_quadx2 Sleef_cast_from_int64q2_advsimd( int64x2_t a );
Sleef_svquad Sleef_cast_from_int64qx_sve( svint64_t a );
Link with -lsleefquad.

Description

These functions convert a 64-bit signed integer to a QP FP value.

Convert QP number to 64-bit unsigned integer

Synopsis

#include <sleefquad.h>
uint64x2_t Sleef_cast_to_uint64q2( Sleef_quadx2 a );
uint64x2_t Sleef_cast_to_uint64q2_advsimd( Sleef_quadx2 a );
svuint64_t Sleef_cast_to_uint64qx_sve( Sleef_svquad a );
Link with -lsleefquad.

Description

These functions convert a QP FP value to a 64-bit signed integer.

Convert 64-bit unsigned integer to QP number

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_cast_from_uint64q2( uint64x2_t a );
Sleef_quadx2 Sleef_cast_from_uint64q2_advsimd( uint64x2_t a );
Sleef_svquad Sleef_cast_from_uint64qx_sve( svuint64_t a );
Link with -lsleefquad.

Description

These functions convert a 64-bit unsigned integer to a QP FP value.

## Comparison and selection functions

QP comparison functions

Synopsis

#include <sleefquad.h>
int32x2_t Sleef_icmpltq2( Sleef_quadx2 a, Sleef_quadx2 b );
int32x2_t Sleef_icmpleq2( Sleef_quadx2 a, Sleef_quadx2 b );
int32x2_t Sleef_icmpgtq2( Sleef_quadx2 a, Sleef_quadx2 b );
int32x2_t Sleef_icmpgeq2( Sleef_quadx2 a, Sleef_quadx2 b );
int32x2_t Sleef_icmpeqq2( Sleef_quadx2 a, Sleef_quadx2 b );
int32x2_t Sleef_icmpneq2( Sleef_quadx2 a, Sleef_quadx2 b );
int32x2_t Sleef_icmpltq2_advsimd( Sleef_quadx2 a, Sleef_quadx2 b );
int32x2_t Sleef_icmpleq2_advsimd( Sleef_quadx2 a, Sleef_quadx2 b );
int32x2_t Sleef_icmpgtq2_advsimd( Sleef_quadx2 a, Sleef_quadx2 b );
int32x2_t Sleef_icmpgeq2_advsimd( Sleef_quadx2 a, Sleef_quadx2 b );
int32x2_t Sleef_icmpeqq2_advsimd( Sleef_quadx2 a, Sleef_quadx2 b );
int32x2_t Sleef_icmpneq2_advsimd( Sleef_quadx2 a, Sleef_quadx2 b );
svint32_t Sleef_icmpltqx_sve( Sleef_svquad a, Sleef_svquad b );
svint32_t Sleef_icmpleqx_sve( Sleef_svquad a, Sleef_svquad b );
svint32_t Sleef_icmpgtqx_sve( Sleef_svquad a, Sleef_svquad b );
svint32_t Sleef_icmpgeqx_sve( Sleef_svquad a, Sleef_svquad b );
svint32_t Sleef_icmpeqqx_sve( Sleef_svquad a, Sleef_svquad b );
svint32_t Sleef_icmpneqx_sve( Sleef_svquad a, Sleef_svquad b );
Link with -lsleefquad.

Description

These are the vectorized functions of comparison functions.

QP comparison functions of the second kind

Synopsis

#include <sleefquad.h>
int32x2_t Sleef_icmpq2( Sleef_quadx2 a, Sleef_quadx2 b );
int32x2_t Sleef_icmpq2_advsimd( Sleef_quadx2 a, Sleef_quadx2 b );
svint32_t Sleef_icmpqx_sve( Sleef_svquad a, Sleef_svquad b );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_icmpq1_purec.

Check orderedness

Synopsis

#include <sleefquad.h>
int32x2_t Sleef_iunordq2( Sleef_quadx2 a, Sleef_quadx2 b );
int32x2_t Sleef_iunordq2_advsimd( Sleef_quadx2 a, Sleef_quadx2 b );
svint32_t Sleef_iunordqx_sve( Sleef_svquad a, Sleef_svquad b );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_iunordq1_purec.

Select elements

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_iselectq2( int32x2_t c, Sleef_quadx2 a, Sleef_quadx2 b );
Sleef_quadx2 Sleef_iselectq2_advsimd( int32x2_t c, Sleef_quadx2 a, Sleef_quadx2 b );
Sleef_svquad Sleef_iselectqx_sve( svint32_t c, Sleef_svquad a, Sleef_svquad b );
Link with -lsleefquad.

Description

These are the vectorized functions that operate in the same way as the ternary operator.

## Math functions

QP functions for basic arithmetic operations

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_addq2_u05( Sleef_quadx2 a, Sleef_quadx2 b );
Sleef_quadx2 Sleef_subq2_u05( Sleef_quadx2 a, Sleef_quadx2 b );
Sleef_quadx2 Sleef_mulq2_u05( Sleef_quadx2 a, Sleef_quadx2 b );
Sleef_quadx2 Sleef_divq2_u05( Sleef_quadx2 a, Sleef_quadx2 b );
Sleef_quadx2 Sleef_negq2( Sleef_quadx2 a );
Sleef_quadx2 Sleef_addq2_u05advsimd( Sleef_quadx2 a, Sleef_quadx2 b );
Sleef_quadx2 Sleef_subq2_u05advsimd( Sleef_quadx2 a, Sleef_quadx2 b );
Sleef_quadx2 Sleef_mulq2_u05advsimd( Sleef_quadx2 a, Sleef_quadx2 b );
Sleef_quadx2 Sleef_divq2_u05advsimd( Sleef_quadx2 a, Sleef_quadx2 b );
Sleef_quadx2 Sleef_negq2_advsimd( Sleef_quadx2 a );
Sleef_svquad Sleef_addqx_u05sve( Sleef_svquad a, Sleef_svquad b );
Sleef_svquad Sleef_subqx_u05sve( Sleef_svquad a, Sleef_svquad b );
Sleef_svquad Sleef_mulqx_u05sve( Sleef_svquad a, Sleef_svquad b );
Sleef_svquad Sleef_divqx_u05sve( Sleef_svquad a, Sleef_svquad b );
Sleef_svquad Sleef_negqx_sve( Sleef_svquad a );
Link with -lsleefquad.

Description

These are the vectorized functions of the basic arithmetic operations.

Square root functions

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_sqrtq2_u05( Sleef_quadx2 a );
Sleef_quadx2 Sleef_sqrtq2_u05advsimd( Sleef_quadx2 a );
Sleef_svquad Sleef_sqrtqx_u05sve( Sleef_svquad a );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_sqrtq1_u05purec.

Sine functions

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_sinq2_u10( Sleef_quadx2 a );
Sleef_quadx2 Sleef_sinq2_u10advsimd( Sleef_quadx2 a );
Sleef_svquad Sleef_sinqx_u10sve( Sleef_svquad a );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_sinq1_u10purec.

Cosine functions

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_cosq2_u10( Sleef_quadx2 a );
Sleef_quadx2 Sleef_cosq2_u10advsimd( Sleef_quadx2 a );
Sleef_svquad Sleef_cosqx_u10sve( Sleef_svquad a );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_cosq1_u10purec.

Tangent functions

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_tanq2_u10( Sleef_quadx2 a );
Sleef_quadx2 Sleef_tanq2_u10advsimd( Sleef_quadx2 a );
Sleef_svquad Sleef_tanqx_u10sve( Sleef_svquad a );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_tanq1_u10purec.

Arc sine functions

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_asinq2_u10( Sleef_quadx2 a );
Sleef_quadx2 Sleef_asinq2_u10advsimd( Sleef_quadx2 a );
Sleef_svquad Sleef_asinqx_u10sve( Sleef_svquad a );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_asinq1_u10purec.

Arc cosine functions

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_acosq2_u10( Sleef_quadx2 a );
Sleef_quadx2 Sleef_acosq2_u10advsimd( Sleef_quadx2 a );
Sleef_svquad Sleef_acosqx_u10sve( Sleef_svquad a );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_acosq1_u10purec.

Arc tangent functions

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_atanq2_u10( Sleef_quadx2 a );
Sleef_quadx2 Sleef_atanq2_u10advsimd( Sleef_quadx2 a );
Sleef_svquad Sleef_atanqx_u10sve( Sleef_svquad a );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_atanq1_u10purec.

Base-e exponential functions

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_expq2_u10( Sleef_quadx2 a );
Sleef_quadx2 Sleef_expq2_u10advsimd( Sleef_quadx2 a );
Sleef_svquad Sleef_expqx_u10sve( Sleef_svquad a );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_expq1_u10purec.

Base-2 exponential functions

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_exp2q2_u10( Sleef_quadx2 a );
Sleef_quadx2 Sleef_exp2q2_u10advsimd( Sleef_quadx2 a );
Sleef_svquad Sleef_exp2qx_u10sve( Sleef_svquad a );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_exp2q1_u10purec.

Base-10 exponentail

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_exp10q2_u10( Sleef_quadx2 a );
Sleef_quadx2 Sleef_exp10q2_u10advsimd( Sleef_quadx2 a );
Sleef_svquad Sleef_exp10qx_u10sve( Sleef_svquad a );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_exp10q1_u10purec.

Base-e exponential functions minus 1

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_expm1q2_u10( Sleef_quadx2 a );
Sleef_quadx2 Sleef_expm1q2_u10advsimd( Sleef_quadx2 a );
Sleef_svquad Sleef_expm1qx_u10sve( Sleef_svquad a );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_expm1q1_u10purec.

Natural logarithmic functions

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_logq2_u10( Sleef_quadx2 a );
Sleef_quadx2 Sleef_logq2_u10advsimd( Sleef_quadx2 a );
Sleef_svquad Sleef_logqx_u10sve( Sleef_svquad a );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_logq1_u10purec.

Base-2 logarithmic functions

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_log2q2_u10( Sleef_quadx2 a );
Sleef_quadx2 Sleef_log2q2_u10advsimd( Sleef_quadx2 a );
Sleef_svquad Sleef_log2qx_u10sve( Sleef_svquad a );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_log2q1_u10purec.

Base-10 logarithmic functions

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_log10q2_u10( Sleef_quadx2 a );
Sleef_quadx2 Sleef_log10q2_u10advsimd( Sleef_quadx2 a );
Sleef_svquad Sleef_log10qx_u10sve( Sleef_svquad a );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_log10q1_u10purec.

Logarithm of one plus argument

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_log1pq2_u10( Sleef_quadx2 a );
Sleef_quadx2 Sleef_log1pq2_u10advsimd( Sleef_quadx2 a );
Sleef_svquad Sleef_log1pqx_u10sve( Sleef_svquad a );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_log1pq1_u10purec.

Power functions

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_powq2_u10( Sleef_quadx2 x, Sleef_quadx2 y );
Sleef_quadx2 Sleef_powq2_u10advsimd( Sleef_quadx2 x, Sleef_quadx2 y );
Sleef_svquad Sleef_powqx_u10sve( Sleef_svquad x, Sleef_svquad y );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_powq1_u10purec.

Hyperbolic sine functions

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_sinhq2_u10( Sleef_quadx2 a );
Sleef_quadx2 Sleef_sinhq2_u10advsimd( Sleef_quadx2 a );
Sleef_svquad Sleef_sinhqx_u10sve( Sleef_svquad a );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_sinhq1_u10purec.

Hyperbolic cosine functions

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_coshq2_u10( Sleef_quadx2 a );
Sleef_quadx2 Sleef_coshq2_u10advsimd( Sleef_quadx2 a );
Sleef_svquad Sleef_coshqx_u10sve( Sleef_svquad a );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_coshq1_u10purec.

Hyperbolic tangent functions

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_tanhq2_u10( Sleef_quadx2 a );
Sleef_quadx2 Sleef_tanhq2_u10advsimd( Sleef_quadx2 a );
Sleef_svquad Sleef_tanhqx_u10sve( Sleef_svquad a );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_tanhq1_u10purec.

Inverse hyperbolic sine functions

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_asinhq2_u10( Sleef_quadx2 a );
Sleef_quadx2 Sleef_asinhq2_u10advsimd( Sleef_quadx2 a );
Sleef_svquad Sleef_asinhqx_u10sve( Sleef_svquad a );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_asinhq1_u10purec.

Inverse hyperbolic cosine functions

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_acoshq2_u10( Sleef_quadx2 a );
Sleef_quadx2 Sleef_acoshq2_u10advsimd( Sleef_quadx2 a );
Sleef_svquad Sleef_acoshqx_u10sve( Sleef_svquad a );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_acoshq1_u10purec.

Inverse hyperbolic tangent functions

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_atanhq2_u10adv( Sleef_quadx2 a );
Sleef_quadx2 Sleef_atanhq2_u10advadvsimd( Sleef_quadx2 a );
Sleef_svquad Sleef_atanhqx_u10sve( Sleef_svquad a );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_atanhq1_u10purec.

Round to integer towards zero

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_truncq2( Sleef_quadx2 a );
Sleef_quadx2 Sleef_truncq2_advsimd( Sleef_quadx2 a );
Sleef_svquad Sleef_truncqx_sve( Sleef_svquad a );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_truncq1_purec.

Round to integer towards minus infinity

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_floorq2( Sleef_quadx2 a );
Sleef_quadx2 Sleef_floorq2_advsimd( Sleef_quadx2 a );
Sleef_svquad Sleef_floorqx_sve( Sleef_svquad a );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_floorq1_purec.

Round to integer towards plus infinity

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_ceilq2( Sleef_quadx2 a );
Sleef_quadx2 Sleef_ceilq2_advsimd( Sleef_quadx2 a );
Sleef_svquad Sleef_ceilqx_sve( Sleef_svquad a );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_ceilq1_purec.

Round to integer away from zero

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_roundq2( Sleef_quadx2 a );
Sleef_quadx2 Sleef_roundq2_advsimd( Sleef_quadx2 a );
Sleef_svquad Sleef_roundqx_sve( Sleef_svquad a );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_roundq1_purec.

Round to integer, ties round to even

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_rintq2( Sleef_quadx2 a );
Sleef_quadx2 Sleef_rintq2_advsimd( Sleef_quadx2 a );
Sleef_svquad Sleef_rintqx_sve( Sleef_svquad a );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_rintq1_purec.

Absolute value

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_fabsq2( Sleef_quadx2 a );
Sleef_quadx2 Sleef_fabsq2_advsimd( Sleef_quadx2 a );
Sleef_svquad Sleef_fabsqx_sve( Sleef_svquad a );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_fabsq1_purec.

Copy sign of a number

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_copysignq2( Sleef_quadx2 x, Sleef_quadx2 y );
Sleef_quadx2 Sleef_copysignq2_advsimd( Sleef_quadx2 x, Sleef_quadx2 y );
Sleef_svquad Sleef_copysignqx_sve( Sleef_svquad x, Sleef_svquad y );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_copysignq1_purec.

Maximum of two numbers

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_fmaxq2( Sleef_quadx2 x, Sleef_quadx2 y );
Sleef_quadx2 Sleef_fmaxq2_advsimd( Sleef_quadx2 x, Sleef_quadx2 y );
Sleef_svquad Sleef_fmaxqx_sve( Sleef_svquad x, Sleef_svquad y );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_fmaxq1_purec.

Minimum of two numbers

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_fminq2( Sleef_quadx2 x, Sleef_quadx2 y );
Sleef_quadx2 Sleef_fminq2_advsimd( Sleef_quadx2 x, Sleef_quadx2 y );
Sleef_svquad Sleef_fminqx_sve( Sleef_svquad x, Sleef_svquad y );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_fminq1_purec.

Positive difference

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_fdimq2_u05( Sleef_quadx2 x, Sleef_quadx2 y );
Sleef_quadx2 Sleef_fdimq2_u05advsimd( Sleef_quadx2 x, Sleef_quadx2 y );
Sleef_svquad Sleef_fdimqx_u05sve( Sleef_svquad x, Sleef_svquad y );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_fdimq1_u05purec.

Floating point remainder

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_fmodq2( Sleef_quadx2 x, Sleef_quadx2 y );
Sleef_quadx2 Sleef_fmodq2_advsimd( Sleef_quadx2 x, Sleef_quadx2 y );
Sleef_svquad Sleef_fmodqx_sve( Sleef_svquad x, Sleef_svquad y );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_fmodq1_purec.

Floating point remainder

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_remainderq2( Sleef_quadx2 x, Sleef_quadx2 y );
Sleef_quadx2 Sleef_remainderq2_advsimd( Sleef_quadx2 x, Sleef_quadx2 y );
Sleef_svquad Sleef_remainderqx_sve( Sleef_svquad x, Sleef_svquad y );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_remainderq1_purec.

Split a number to fractional and integral components

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_frexpq2( Sleef_quadx2 x, int32x2_t * ptr );
Sleef_quadx2 Sleef_frexpq2_advsimd( Sleef_quadx2 x, int32x2_t * ptr );
Sleef_svquad Sleef_frexpqx_sve( Sleef_svquad x, svint32_t * ptr );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_frexpq1_purec.

Break a number into integral and fractional parts

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_modfq2( Sleef_quadx2 x, Sleef_quadx2 * ptr );
Sleef_quadx2 Sleef_modfq2_advsimd( Sleef_quadx2 x, Sleef_quadx2 * ptr );
Sleef_svquad Sleef_modfqx_sve( Sleef_svquad x, Sleef_svquad * ptr );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_modfq1_purec.

2D Euclidian distance

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_hypotq2_u05( Sleef_quadx2 x, Sleef_quadx2 y );
Sleef_quadx2 Sleef_hypotq2_u05advsimd( Sleef_quadx2 x, Sleef_quadx2 y );
Sleef_svquad Sleef_hypotqx_u05sve( Sleef_svquad x, Sleef_svquad y );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_hypotq1_u05purec.

Fused multiply and accumulate

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_fmaq2_u05( Sleef_quadx2 x, Sleef_quadx2 y, Sleef_quadx2 z );
Sleef_quadx2 Sleef_fmaq2_u05advsimd( Sleef_quadx2 x, Sleef_quadx2 y, Sleef_quadx2 z );
Sleef_svquad Sleef_fmaqx_u05sve( Sleef_svquad x, Sleef_svquad y, Sleef_svquad z );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_fmaq1_u05purec.

Multiply by integral power of 2

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_ldexpq2( Sleef_quadx2 x, int32x2_t e );
Sleef_quadx2 Sleef_ldexpq2_advsimd( Sleef_quadx2 x, int32x2_t e );
Sleef_svquad Sleef_ldexpqx_sve( Sleef_svquad x, svint32_t e );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_ldexpq1_purec.

Integer exponent of an FP number

Synopsis

#include <sleefquad.h>
int32x2_t Sleef_ilogbq2( Sleef_quadx2 x );
int32x2_t Sleef_ilogbq2_advsimd( Sleef_quadx2 x );
svint32_t Sleef_ilogbqx_sve( Sleef_svquad x );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_ilogbq1_purec.