# SLEEF - Quad-precision math library reference (System/390)

## 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 and functions for PPC64 architecture
  - Data types and functions for System/390 architecture
  - Data types
  - Functions for accessing elements inside vector variable
  - Conversion functions
  - Comparison and selection functions
  - Math functions
  - 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.

## 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_vxe( Sleef_quad * ptr );
Sleef_quadx2 Sleef_loadq2_vxe2( 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_vxe( Sleef_quad * ptr, Sleef_quadx2 v );
void Sleef_storeq2_vxe2( Sleef_quad * ptr, Sleef_quadx2 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_vxe( Sleef_quadx2 v, int index );
Sleef_quad Sleef_getq2_vxe2( Sleef_quadx2 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_vxe( Sleef_quadx2 v, int index, Sleef_quad e );
Sleef_quadx2 Sleef_setq2_vxe2( Sleef_quadx2 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_vxe( Sleef_quad e );
Sleef_quadx2 Sleef_splatq2_vxe2( 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>
vector double Sleef_cast_to_doubleq2( Sleef_quadx2 a );
vector double Sleef_cast_to_doubleq2_vxe( Sleef_quadx2 a );
vector double Sleef_cast_to_doubleq2_vxe2( Sleef_quadx2 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( vector double a );
Sleef_quadx2 Sleef_cast_from_doubleq2_vxe( vector double a );
Sleef_quadx2 Sleef_cast_from_doubleq2_vxe2( vector double 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>
vector signed long long Sleef_cast_to_int64q2( Sleef_quadx2 a );
vector signed long long Sleef_cast_to_int64q2_vxe( Sleef_quadx2 a );
vector signed long long Sleef_cast_to_int64q2_vxe2( Sleef_quadx2 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( vector signed long long a );
Sleef_quadx2 Sleef_cast_from_int64q2_vxe( vector signed long long a );
Sleef_quadx2 Sleef_cast_from_int64q2_vxe2( vector signed long long 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>
vector unsigned long long Sleef_cast_to_uint64q2( Sleef_quadx2 a );
vector unsigned long long Sleef_cast_to_uint64q2_vxe( Sleef_quadx2 a );
vector unsigned long long Sleef_cast_to_uint64q2_vxe2( Sleef_quadx2 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( vector unsigned long long a );
Sleef_quadx2 Sleef_cast_from_uint64q2_vxe( vector unsigned long long a );
Sleef_quadx2 Sleef_cast_from_uint64q2_vxe2( vector unsigned long long 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>
vector int Sleef_icmpltq2( Sleef_quadx2 a, Sleef_quadx2 b );
vector int Sleef_icmpleq2( Sleef_quadx2 a, Sleef_quadx2 b );
vector int Sleef_icmpgtq2( Sleef_quadx2 a, Sleef_quadx2 b );
vector int Sleef_icmpgeq2( Sleef_quadx2 a, Sleef_quadx2 b );
vector int Sleef_icmpeqq2( Sleef_quadx2 a, Sleef_quadx2 b );
vector int Sleef_icmpneq2( Sleef_quadx2 a, Sleef_quadx2 b );
vector int Sleef_icmpltq2_vxe( Sleef_quadx2 a, Sleef_quadx2 b );
vector int Sleef_icmpleq2_vxe( Sleef_quadx2 a, Sleef_quadx2 b );
vector int Sleef_icmpgtq2_vxe( Sleef_quadx2 a, Sleef_quadx2 b );
vector int Sleef_icmpgeq2_vxe( Sleef_quadx2 a, Sleef_quadx2 b );
vector int Sleef_icmpeqq2_vxe( Sleef_quadx2 a, Sleef_quadx2 b );
vector int Sleef_icmpneq2_vxe( Sleef_quadx2 a, Sleef_quadx2 b );
vector int Sleef_icmpltq2_vxe2( Sleef_quadx2 a, Sleef_quadx2 b );
vector int Sleef_icmpleq2_vxe2( Sleef_quadx2 a, Sleef_quadx2 b );
vector int Sleef_icmpgtq2_vxe2( Sleef_quadx2 a, Sleef_quadx2 b );
vector int Sleef_icmpgeq2_vxe2( Sleef_quadx2 a, Sleef_quadx2 b );
vector int Sleef_icmpeqq2_vxe2( Sleef_quadx2 a, Sleef_quadx2 b );
vector int Sleef_icmpneq2_vxe2( Sleef_quadx2 a, Sleef_quadx2 b );
Link with -lsleefquad.

Description

These are the vectorized functions of comparison functions.

QP comparison functions of the second kind

Synopsis

#include <sleefquad.h>
vector int Sleef_icmpq2( Sleef_quadx2 a, Sleef_quadx2 b );
vector int Sleef_icmpq2_vxe( Sleef_quadx2 a, Sleef_quadx2 b );
vector int Sleef_icmpq2_vxe2( Sleef_quadx2 a, Sleef_quadx2 b );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_icmpq1_purec.

Check orderedness

Synopsis

#include <sleefquad.h>
vector int Sleef_iunordq2( Sleef_quadx2 a, Sleef_quadx2 b );
vector int Sleef_iunordq2_vxe( Sleef_quadx2 a, Sleef_quadx2 b );
vector int Sleef_iunordq2_vxe2( Sleef_quadx2 a, Sleef_quadx2 b );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_iunordq1_purec.

Select elements

Synopsis

#include <sleefquad.h>
Sleef_quadx2 Sleef_iselectq2( vector int c, Sleef_quadx2 a, Sleef_quadx2 b );
Sleef_quadx2 Sleef_iselectq2_vxe( vector int c, Sleef_quadx2 a, Sleef_quadx2 b );
Sleef_quadx2 Sleef_iselectq2_vxe2( vector int c, Sleef_quadx2 a, Sleef_quadx2 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_u05vxe( Sleef_quadx2 a, Sleef_quadx2 b );
Sleef_quadx2 Sleef_subq2_u05vxe( Sleef_quadx2 a, Sleef_quadx2 b );
Sleef_quadx2 Sleef_mulq2_u05vxe( Sleef_quadx2 a, Sleef_quadx2 b );
Sleef_quadx2 Sleef_divq2_u05vxe( Sleef_quadx2 a, Sleef_quadx2 b );
Sleef_quadx2 Sleef_negq2_vxe( Sleef_quadx2 a );
Sleef_quadx2 Sleef_addq2_u05vxe2( Sleef_quadx2 a, Sleef_quadx2 b );
Sleef_quadx2 Sleef_subq2_u05vxe2( Sleef_quadx2 a, Sleef_quadx2 b );
Sleef_quadx2 Sleef_mulq2_u05vxe2( Sleef_quadx2 a, Sleef_quadx2 b );
Sleef_quadx2 Sleef_divq2_u05vxe2( Sleef_quadx2 a, Sleef_quadx2 b );
Sleef_quadx2 Sleef_negq2_vxe2( Sleef_quadx2 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_u05vxe( Sleef_quadx2 a );
Sleef_quadx2 Sleef_sqrtq2_u05vxe2( Sleef_quadx2 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_u10vxe( Sleef_quadx2 a );
Sleef_quadx2 Sleef_sinq2_u10vxe2( Sleef_quadx2 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_u10vxe( Sleef_quadx2 a );
Sleef_quadx2 Sleef_cosq2_u10vxe2( Sleef_quadx2 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_u10vxe( Sleef_quadx2 a );
Sleef_quadx2 Sleef_tanq2_u10vxe2( Sleef_quadx2 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_u10vxe( Sleef_quadx2 a );
Sleef_quadx2 Sleef_asinq2_u10vxe2( Sleef_quadx2 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_u10vxe( Sleef_quadx2 a );
Sleef_quadx2 Sleef_acosq2_u10vxe2( Sleef_quadx2 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_u10vxe( Sleef_quadx2 a );
Sleef_quadx2 Sleef_atanq2_u10vxe2( Sleef_quadx2 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_u10vxe( Sleef_quadx2 a );
Sleef_quadx2 Sleef_expq2_u10vxe2( Sleef_quadx2 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_u10vxe( Sleef_quadx2 a );
Sleef_quadx2 Sleef_exp2q2_u10vxe2( Sleef_quadx2 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_u10vxe( Sleef_quadx2 a );
Sleef_quadx2 Sleef_exp10q2_u10vxe2( Sleef_quadx2 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_u10vxe( Sleef_quadx2 a );
Sleef_quadx2 Sleef_expm1q2_u10vxe2( Sleef_quadx2 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_u10vxe( Sleef_quadx2 a );
Sleef_quadx2 Sleef_logq2_u10vxe2( Sleef_quadx2 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_u10vxe( Sleef_quadx2 a );
Sleef_quadx2 Sleef_log2q2_u10vxe2( Sleef_quadx2 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_u10vxe( Sleef_quadx2 a );
Sleef_quadx2 Sleef_log10q2_u10vxe2( Sleef_quadx2 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_u10vxe( Sleef_quadx2 a );
Sleef_quadx2 Sleef_log1pq2_u10vxe2( Sleef_quadx2 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_u10vxe( Sleef_quadx2 x, Sleef_quadx2 y );
Sleef_quadx2 Sleef_powq2_u10vxe2( Sleef_quadx2 x, Sleef_quadx2 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_u10vxe( Sleef_quadx2 a );
Sleef_quadx2 Sleef_sinhq2_u10vxe2( Sleef_quadx2 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_u10vxe( Sleef_quadx2 a );
Sleef_quadx2 Sleef_coshq2_u10vxe2( Sleef_quadx2 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_u10vxe( Sleef_quadx2 a );
Sleef_quadx2 Sleef_tanhq2_u10vxe2( Sleef_quadx2 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_u10vxe( Sleef_quadx2 a );
Sleef_quadx2 Sleef_asinhq2_u10vxe2( Sleef_quadx2 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_u10vxe( Sleef_quadx2 a );
Sleef_quadx2 Sleef_acoshq2_u10vxe2( Sleef_quadx2 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_u10( Sleef_quadx2 a );
Sleef_quadx2 Sleef_atanhq2_u10vxe( Sleef_quadx2 a );
Sleef_quadx2 Sleef_atanhq2_u10vxe2( Sleef_quadx2 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_vxe( Sleef_quadx2 a );
Sleef_quadx2 Sleef_truncq2_vxe2( Sleef_quadx2 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_vxe( Sleef_quadx2 a );
Sleef_quadx2 Sleef_floorq2_vxe2( Sleef_quadx2 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_vxe( Sleef_quadx2 a );
Sleef_quadx2 Sleef_ceilq2_vxe2( Sleef_quadx2 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_vxe( Sleef_quadx2 a );
Sleef_quadx2 Sleef_roundq2_vxe2( Sleef_quadx2 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_vxe( Sleef_quadx2 a );
Sleef_quadx2 Sleef_rintq2_vxe2( Sleef_quadx2 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_vxe( Sleef_quadx2 a );
Sleef_quadx2 Sleef_fabsq2_vxe2( Sleef_quadx2 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_vxe( Sleef_quadx2 x, Sleef_quadx2 y );
Sleef_quadx2 Sleef_copysignq2_vxe2( Sleef_quadx2 x, Sleef_quadx2 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_vxe( Sleef_quadx2 x, Sleef_quadx2 y );
Sleef_quadx2 Sleef_fmaxq2_vxe2( Sleef_quadx2 x, Sleef_quadx2 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_vxe( Sleef_quadx2 x, Sleef_quadx2 y );
Sleef_quadx2 Sleef_fminq2_vxe2( Sleef_quadx2 x, Sleef_quadx2 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_u05vxe( Sleef_quadx2 x, Sleef_quadx2 y );
Sleef_quadx2 Sleef_fdimq2_u05vxe2( Sleef_quadx2 x, Sleef_quadx2 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_vxe( Sleef_quadx2 x, Sleef_quadx2 y );
Sleef_quadx2 Sleef_fmodq2_vxe2( Sleef_quadx2 x, Sleef_quadx2 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_vxe( Sleef_quadx2 x, Sleef_quadx2 y );
Sleef_quadx2 Sleef_remainderq2_vxe2( Sleef_quadx2 x, Sleef_quadx2 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, vector int * ptr );
Sleef_quadx2 Sleef_frexpq2_vxe( Sleef_quadx2 x, vector int * ptr );
Sleef_quadx2 Sleef_frexpq2_vxe2( Sleef_quadx2 x, vector int * 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_vxe( Sleef_quadx2 x, Sleef_quadx2 * ptr );
Sleef_quadx2 Sleef_modfq2_vxe2( Sleef_quadx2 x, Sleef_quadx2 * 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_u05vxe( Sleef_quadx2 x, Sleef_quadx2 y );
Sleef_quadx2 Sleef_hypotq2_u05vxe2( Sleef_quadx2 x, Sleef_quadx2 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_u05vxe( Sleef_quadx2 x, Sleef_quadx2 y, Sleef_quadx2 z );
Sleef_quadx2 Sleef_fmaq2_u05vxe2( Sleef_quadx2 x, Sleef_quadx2 y, Sleef_quadx2 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, vector int e );
Sleef_quadx2 Sleef_ldexpq2_vxe( Sleef_quadx2 x, vector int e );
Sleef_quadx2 Sleef_ldexpq2_vxe2( Sleef_quadx2 x, vector int e );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_ldexpq1_purec.

Integer exponent of an FP number

Synopsis

#include <sleefquad.h>
vector int Sleef_ilogbq2( Sleef_quadx2 x );
vector int Sleef_ilogbq2_vxe( Sleef_quadx2 x );
vector int Sleef_ilogbq2_vxe2( Sleef_quadx2 x );
Link with -lsleefquad.

Description

These are the vectorized functions of Sleef_ilogbq1_purec.