SLEEF - Math library reference (x86)

Table of contents

• Introduction
• Compiling and installing the library
•  
• Math library reference
  • Data types and functions for all architecture
  • Data types and functions for x86 architecture
  • Function naming convention
  • Data types
  • Trigonometric functions
  • Power, exponential, and logarithmic functions
  • Inverse trigonometric functions
  • Hyperbolic functions and inverse hyperbolic functions
  • Error and gamma functions
  • Nearest integer functions
  • Other functions
  • Supplementary functions
  • Data types and functions for AArch64 architecture
  • Data types and functions for AArch32 architecture
  • Data types and functions for PPC64 architecture
  • Data types and functions for System/390 architecture
  • Data types and functions for CUDA
•  
• Quad-precision math library reference
• DFT library reference
• Other tools included in the package
• Benchmark results
• Additional notes

Function naming convention

The naming convention for the vectorized math functions is shown in Fig. 3.1 and 3.2. The function name is a concatenation of the following items, in this order.

• String "Sleef_"
• Name of the corresponding double precision function in math.h
• Data type specifier of a vector element, "d" and "f" for double and single precision functions, respectively
• The number of elements in a vector
• Accuracy specifier, which is a concatenation of "_u" and 10 times the maximum error for typical input domain in ULP (two digits). If the function is expected to always return the correctly rounded value, its name has no accuracy specifier.
• Vector extension specifier
• (Nothing) : Dispatcher automatically chooses the fastest available vector extension
• sse2 : SSE2
• sse4 : SSE4.1
• avx2128 : AVX2+FMA3 instructions utilized for 128 bit computation
• avx : AVX
• avx2 : AVX2+FMA3
• avx512f : AVX512F
• Attributes
• c : The function gives bit-wise consistent results across all platforms
• f : The function requires FMA support and gives bit-wise consistent results across all platforms
• i : Infinity is correctly handled
• n : NaN is correctly handled
• z : Negative zero is correctly handled

Fig. 3.1: Naming convention of vectorized functions

Fig. 3.2: Naming convention of vectorized functions with attributes

Data types for x86 architecture

Sleef___m128_2

Description

Sleef___m128_2 is a data type for storing two __m128 values, which is defined in sleef.h as follows:

typedef struct {
  __m128 x, y;
} Sleef___m128_2;

Sleef___m128d_2

Description

Sleef___m128d_2 is a data type for storing two __m128d values, which is defined in sleef.h as follows:

typedef struct {
  __m128d x, y;
} Sleef___m128d_2;

Sleef___m256_2

Description

Sleef___m256_2 is a data type for storing two __m256 values, which is defined in sleef.h as follows:

typedef struct {
  __m256 x, y;
} Sleef___m256_2;

Sleef___m256d_2

Description

Sleef___m256d_2 is a data type for storing two __m256d values, which is defined in sleef.h as follows:

typedef struct {
  __m256d x, y;
} Sleef___m256d_2;

Sleef___m512_2

Description

Sleef___m512_2 is a data type for storing two __m512 values, which is defined in sleef.h as follows:

typedef struct {
  __m512 x, y;
} Sleef___m512_2;

Sleef___m512d_2

Description

Sleef___m512d_2 is a data type for storing two __m512d values, which is defined in sleef.h as follows:

typedef struct {
  __m512d x, y;
} Sleef___m512d_2;

Trigonometric Functions

Vectorized double precision sine functions with 1.0 ULP error bound

Synopsis

#include <sleef.h>

__m128d Sleef_sind2_u10(__m128d a);
__m128d Sleef_sind2_u10sse2(__m128d a);
__m128d Sleef_sind2_u10sse4(__m128d a);
__m128d Sleef_sind2_u10avx2128(__m128d a);
__m128d Sleef_cinz_sind2_u10sse2(__m128d a);
__m128d Sleef_cinz_sind2_u10sse4(__m128d a);
__m128d Sleef_finz_sind2_u10avx2128(__m128d a);

__m256d Sleef_sind4_u10(__m256d a);
__m256d Sleef_sind4_u10avx(__m256d a);
__m256d Sleef_sind4_u10avx2(__m256d a);
__m256d Sleef_sind4_u10fma4(__m256d a);
__m256d Sleef_cinz_sind4_u10avx(__m256d a);
__m256d Sleef_finz_sind4_u10avx2(__m256d a);
__m256d Sleef_finz_sind4_u10fma4(__m256d a);

__m512d Sleef_sind8_u10(__m512d a);
__m512d Sleef_sind8_u10avx512f(__m512d a);
__m512d Sleef_cinz_sind8_u10avx512fnofma(__m512d a);
__m512d Sleef_finz_sind8_u10avx512f(__m512d a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_sin_u10 with the same accuracy specification.

Vectorized single precision sine functions with 1.0 ULP error bound

Synopsis

#include <sleef.h>

__m128 Sleef_sinf4_u10(__m128 a);
__m128 Sleef_sinf4_u10sse2(__m128 a);
__m128 Sleef_sinf4_u10sse4(__m128 a);
__m128 Sleef_sinf4_u10avx2128(__m128 a);
__m128 Sleef_cinz_sinf4_u10sse2(__m128 a);
__m128 Sleef_cinz_sinf4_u10sse4(__m128 a);
__m128 Sleef_finz_sinf4_u10avx2128(__m128 a);

__m256 Sleef_sinf8_u10(__m256 a);
__m256 Sleef_sinf8_u10avx(__m256 a);
__m256 Sleef_sinf8_u10avx2(__m256 a);
__m256 Sleef_sinf8_u10fma4(__m256 a);
__m256 Sleef_cinz_sinf8_u10avx(__m256 a);
__m256 Sleef_finz_sinf8_u10avx2(__m256 a);
__m256 Sleef_finz_sinf8_u10fma4(__m256 a);

__m512 Sleef_sinf16_u10(__m512 a);
__m512 Sleef_sinf16_u10avx512f(__m512 a);
__m512 Sleef_cinz_sinf16_u10avx512fnofma(__m512 a);
__m512 Sleef_finz_sinf16_u10avx512f(__m512 a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_sinf_u10 with the same accuracy specification.

Vectorized double precision sine functions with 3.5 ULP error bound

Synopsis

#include <sleef.h>

__m128d Sleef_sind2_u35(__m128d a);
__m128d Sleef_sind2_u35sse2(__m128d a);
__m128d Sleef_sind2_u35sse4(__m128d a);
__m128d Sleef_sind2_u35avx2128(__m128d a);
__m128d Sleef_cinz_sind2_u35sse2(__m128d a);
__m128d Sleef_cinz_sind2_u35sse4(__m128d a);
__m128d Sleef_finz_sind2_u35avx2128(__m128d a);

__m256d Sleef_sind4_u35(__m256d a);
__m256d Sleef_sind4_u35avx(__m256d a);
__m256d Sleef_sind4_u35avx2(__m256d a);
__m256d Sleef_sind4_u35fma4(__m256d a);
__m256d Sleef_cinz_sind4_u35avx(__m256d a);
__m256d Sleef_finz_sind4_u35avx2(__m256d a);
__m256d Sleef_finz_sind4_u35fma4(__m256d a);

__m512d Sleef_sind8_u35(__m512d a);
__m512d Sleef_sind8_u35avx512f(__m512d a);
__m512d Sleef_cinz_sind8_u35avx512fnofma(__m512d a);
__m512d Sleef_finz_sind8_u35avx512f(__m512d a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_sin_u35 with the same accuracy specification.

Vectorized single precision sine functions with 3.5 ULP error bound

Synopsis

#include <sleef.h>

__m128 Sleef_sinf4_u35(__m128 a);
__m128 Sleef_sinf4_u35sse2(__m128 a);
__m128 Sleef_sinf4_u35sse4(__m128 a);
__m128 Sleef_sinf4_u35avx2128(__m128 a);
__m128 Sleef_cinz_sinf4_u35sse2(__m128 a);
__m128 Sleef_cinz_sinf4_u35sse4(__m128 a);
__m128 Sleef_finz_sinf4_u35avx2128(__m128 a);

__m256 Sleef_sinf8_u35(__m256 a);
__m256 Sleef_sinf8_u35avx(__m256 a);
__m256 Sleef_sinf8_u35avx2(__m256 a);
__m256 Sleef_sinf8_u35fma4(__m256 a);
__m256 Sleef_cinz_sinf8_u35avx(__m256 a);
__m256 Sleef_finz_sinf8_u35avx2(__m256 a);
__m256 Sleef_finz_sinf8_u35fma4(__m256 a);

__m512 Sleef_sinf16_u35(__m512 a);
__m512 Sleef_sinf16_u35avx512f(__m512 a);
__m512 Sleef_cinz_sinf16_u35avx512fnofma(__m512 a);
__m512 Sleef_finz_sinf16_u35avx512f(__m512 a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_sinf_u35 with the same accuracy specification.

Vectorized double precision cosine functions with 1.0 ULP error bound

Synopsis

#include <sleef.h>

__m128d Sleef_cosd2_u10(__m128d a);
__m128d Sleef_cosd2_u10sse2(__m128d a);
__m128d Sleef_cosd2_u10sse4(__m128d a);
__m128d Sleef_cosd2_u10avx2128(__m128d a);
__m128d Sleef_cinz_cosd2_u10sse2(__m128d a);
__m128d Sleef_cinz_cosd2_u10sse4(__m128d a);
__m128d Sleef_finz_cosd2_u10avx2128(__m128d a);

__m256d Sleef_cosd4_u10(__m256d a);
__m256d Sleef_cosd4_u10avx(__m256d a);
__m256d Sleef_cosd4_u10avx2(__m256d a);
__m256d Sleef_cosd4_u10fma4(__m256d a);
__m256d Sleef_cinz_cosd4_u10avx(__m256d a);
__m256d Sleef_finz_cosd4_u10avx2(__m256d a);
__m256d Sleef_finz_cosd4_u10fma4(__m256d a);

__m512d Sleef_cosd8_u10(__m512d a);
__m512d Sleef_cosd8_u10avx512f(__m512d a);
__m512d Sleef_cinz_cosd8_u10avx512fnofma(__m512d a);
__m512d Sleef_finz_cosd8_u10avx512f(__m512d a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_cos_u10 with the same accuracy specification.

Vectorized single precision cosine functions with 1.0 ULP error bound

Synopsis

#include <sleef.h>

__m128 Sleef_cosf4_u10(__m128 a);
__m128 Sleef_cosf4_u10sse2(__m128 a);
__m128 Sleef_cosf4_u10sse4(__m128 a);
__m128 Sleef_cosf4_u10avx2128(__m128 a);
__m128 Sleef_cinz_cosf4_u10sse2(__m128 a);
__m128 Sleef_cinz_cosf4_u10sse4(__m128 a);
__m128 Sleef_finz_cosf4_u10avx2128(__m128 a);

__m256 Sleef_cosf8_u10(__m256 a);
__m256 Sleef_cosf8_u10avx(__m256 a);
__m256 Sleef_cosf8_u10avx2(__m256 a);
__m256 Sleef_cosf8_u10fma4(__m256 a);
__m256 Sleef_cinz_cosf8_u10avx(__m256 a);
__m256 Sleef_finz_cosf8_u10avx2(__m256 a);
__m256 Sleef_finz_cosf8_u10fma4(__m256 a);

__m512 Sleef_cosf16_u10(__m512 a);
__m512 Sleef_cosf16_u10avx512f(__m512 a);
__m512 Sleef_cinz_cosf16_u10avx512fnofma(__m512 a);
__m512 Sleef_finz_cosf16_u10avx512f(__m512 a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_cosf_u10 with the same accuracy specification.

Vectorized double precision cosine functions with 3.5 ULP error bound

Synopsis

#include <sleef.h>

__m128d Sleef_cosd2_u35(__m128d a);
__m128d Sleef_cosd2_u35sse2(__m128d a);
__m128d Sleef_cosd2_u35sse4(__m128d a);
__m128d Sleef_cosd2_u35avx2128(__m128d a);
__m128d Sleef_cinz_cosd2_u35sse2(__m128d a);
__m128d Sleef_cinz_cosd2_u35sse4(__m128d a);
__m128d Sleef_finz_cosd2_u35avx2128(__m128d a);

__m256d Sleef_cosd4_u35(__m256d a);
__m256d Sleef_cosd4_u35avx(__m256d a);
__m256d Sleef_cosd4_u35avx2(__m256d a);
__m256d Sleef_cosd4_u35fma4(__m256d a);
__m256d Sleef_cinz_cosd4_u35avx(__m256d a);
__m256d Sleef_finz_cosd4_u35avx2(__m256d a);
__m256d Sleef_finz_cosd4_u35fma4(__m256d a);

__m512d Sleef_cosd8_u35(__m512d a);
__m512d Sleef_cosd8_u35avx512f(__m512d a);
__m512d Sleef_cinz_cosd8_u35avx512fnofma(__m512d a);
__m512d Sleef_finz_cosd8_u35avx512f(__m512d a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_cos_u35 with the same accuracy specification.

Vectorized single precision cosine functions with 3.5 ULP error bound

Synopsis

#include <sleef.h>

__m128 Sleef_cosf4_u35(__m128 a);
__m128 Sleef_cosf4_u35sse2(__m128 a);
__m128 Sleef_cosf4_u35sse4(__m128 a);
__m128 Sleef_cosf4_u35avx2128(__m128 a);
__m128 Sleef_cinz_cosf4_u35sse2(__m128 a);
__m128 Sleef_cinz_cosf4_u35sse4(__m128 a);
__m128 Sleef_finz_cosf4_u35avx2128(__m128 a);

__m256 Sleef_cosf8_u35(__m256 a);
__m256 Sleef_cosf8_u35avx(__m256 a);
__m256 Sleef_cosf8_u35avx2(__m256 a);
__m256 Sleef_cosf8_u35fma4(__m256 a);
__m256 Sleef_cinz_cosf8_u35avx(__m256 a);
__m256 Sleef_finz_cosf8_u35avx2(__m256 a);
__m256 Sleef_finz_cosf8_u35fma4(__m256 a);

__m512 Sleef_cosf16_u35(__m512 a);
__m512 Sleef_cosf16_u35avx512f(__m512 a);
__m512 Sleef_cinz_cosf16_u35avx512fnofma(__m512 a);
__m512 Sleef_finz_cosf16_u35avx512f(__m512 a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_cosf_u35 with the same accuracy specification.

Vectorized double precision combined sine and cosine functions with 1.0 ULP error bound

Synopsis

#include <sleef.h>

Sleef___m128d_2 Sleef_sincosd2_u10(__m128d a);
Sleef___m128d_2 Sleef_sincosd2_u10sse2(__m128d a);
Sleef___m128d_2 Sleef_sincosd2_u10sse4(__m128d a);
Sleef___m128d_2 Sleef_sincosd2_u10avx2128(__m128d a);
Sleef___m128d_2 Sleef_cinz_sincosd2_u10sse2(__m128d a);
Sleef___m128d_2 Sleef_cinz_sincosd2_u10sse4(__m128d a);
Sleef___m128d_2 Sleef_finz_sincosd2_u10avx2128(__m128d a);

Sleef___m256d_2 Sleef_sincosd4_u10(__m256d a);
Sleef___m256d_2 Sleef_sincosd4_u10avx(__m256d a);
Sleef___m256d_2 Sleef_sincosd4_u10avx2(__m256d a);
Sleef___m256d_2 Sleef_sincosd4_u10fma4(__m256d a);
Sleef___m256d_2 Sleef_cinz_sincosd4_u10avx(__m256d a);
Sleef___m256d_2 Sleef_finz_sincosd4_u10avx2(__m256d a);
Sleef___m256d_2 Sleef_finz_sincosd4_u10fma4(__m256d a);

Sleef___m512d_2 Sleef_sincosd8_u10(__m512d a);
Sleef___m512d_2 Sleef_sincosd8_u10avx512f(__m512d a);
Sleef___m512d_2 Sleef_cinz_sincosd8_u10avx512fnofma(__m512d a);
Sleef___m512d_2 Sleef_finz_sincosd8_u10avx512f(__m512d a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_sincos_u10 with the same accuracy specification.

Vectorized single precision combined sine and cosine functions with 1.0 ULP error bound

Synopsis

#include <sleef.h>

Sleef___m128_2 Sleef_sincosf4_u10(__m128 a);
Sleef___m128_2 Sleef_sincosf4_u10sse2(__m128 a);
Sleef___m128_2 Sleef_sincosf4_u10sse4(__m128 a);
Sleef___m128_2 Sleef_sincosf4_u10avx2128(__m128 a);
Sleef___m128_2 Sleef_cinz_sincosf4_u10sse2(__m128 a);
Sleef___m128_2 Sleef_cinz_sincosf4_u10sse4(__m128 a);
Sleef___m128_2 Sleef_finz_sincosf4_u10avx2128(__m128 a);

Sleef___m256_2 Sleef_sincosf8_u10(__m256 a);
Sleef___m256_2 Sleef_sincosf8_u10avx(__m256 a);
Sleef___m256_2 Sleef_sincosf8_u10avx2(__m256 a);
Sleef___m256_2 Sleef_sincosf8_u10fma4(__m256 a);
Sleef___m256_2 Sleef_cinz_sincosf8_u10avx(__m256 a);
Sleef___m256_2 Sleef_finz_sincosf8_u10avx2(__m256 a);
Sleef___m256_2 Sleef_finz_sincosf8_u10fma4(__m256 a);

Sleef___m512_2 Sleef_sincosf16_u10(__m512 a);
Sleef___m512_2 Sleef_sincosf16_u10avx512f(__m512 a);
Sleef___m512_2 Sleef_cinz_sincosf16_u10avx512fnofma(__m512 a);
Sleef___m512_2 Sleef_finz_sincosf16_u10avx512f(__m512 a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_sincosf_u10 with the same accuracy specification.

Vectorized double precision combined sine and cosine functions with 3.5 ULP error bound

Synopsis

#include <sleef.h>

Sleef___m128d_2 Sleef_sincosd2_u35(__m128d a);
Sleef___m128d_2 Sleef_sincosd2_u35sse2(__m128d a);
Sleef___m128d_2 Sleef_sincosd2_u35sse4(__m128d a);
Sleef___m128d_2 Sleef_sincosd2_u35avx2128(__m128d a);
Sleef___m128d_2 Sleef_cinz_sincosd2_u35sse2(__m128d a);
Sleef___m128d_2 Sleef_cinz_sincosd2_u35sse4(__m128d a);
Sleef___m128d_2 Sleef_finz_sincosd2_u35avx2128(__m128d a);

Sleef___m256d_2 Sleef_sincosd4_u35(__m256d a);
Sleef___m256d_2 Sleef_sincosd4_u35avx(__m256d a);
Sleef___m256d_2 Sleef_sincosd4_u35avx2(__m256d a);
Sleef___m256d_2 Sleef_sincosd4_u35fma4(__m256d a);
Sleef___m256d_2 Sleef_cinz_sincosd4_u35avx(__m256d a);
Sleef___m256d_2 Sleef_finz_sincosd4_u35avx2(__m256d a);
Sleef___m256d_2 Sleef_finz_sincosd4_u35fma4(__m256d a);

Sleef___m512d_2 Sleef_sincosd8_u35(__m512d a);
Sleef___m512d_2 Sleef_sincosd8_u35avx512f(__m512d a);
Sleef___m512d_2 Sleef_cinz_sincosd8_u35avx512fnofma(__m512d a);
Sleef___m512d_2 Sleef_finz_sincosd8_u35avx512f(__m512d a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_sincos_u35 with the same accuracy specification.

Vectorized single precision combined sine and cosine functions with 3.5 ULP error bound

Synopsis

#include <sleef.h>

Sleef___m128_2 Sleef_sincosf4_u35(__m128 a);
Sleef___m128_2 Sleef_sincosf4_u35sse2(__m128 a);
Sleef___m128_2 Sleef_sincosf4_u35sse4(__m128 a);
Sleef___m128_2 Sleef_sincosf4_u35avx2128(__m128 a);
Sleef___m128_2 Sleef_cinz_sincosf4_u35sse2(__m128 a);
Sleef___m128_2 Sleef_cinz_sincosf4_u35sse4(__m128 a);
Sleef___m128_2 Sleef_finz_sincosf4_u35avx2128(__m128 a);

Sleef___m256_2 Sleef_sincosf8_u35(__m256 a);
Sleef___m256_2 Sleef_sincosf8_u35avx(__m256 a);
Sleef___m256_2 Sleef_sincosf8_u35avx2(__m256 a);
Sleef___m256_2 Sleef_sincosf8_u35fma4(__m256 a);
Sleef___m256_2 Sleef_cinz_sincosf8_u35avx(__m256 a);
Sleef___m256_2 Sleef_finz_sincosf8_u35avx2(__m256 a);
Sleef___m256_2 Sleef_finz_sincosf8_u35fma4(__m256 a);

Sleef___m512_2 Sleef_sincosf16_u35(__m512 a);
Sleef___m512_2 Sleef_sincosf16_u35avx512f(__m512 a);
Sleef___m512_2 Sleef_cinz_sincosf16_u35avx512fnofma(__m512 a);
Sleef___m512_2 Sleef_finz_sincosf16_u35avx512f(__m512 a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_sincosf_u35 with the same accuracy specification.

Vectorized double precision sine functions with 0.506 ULP error bound

Synopsis

#include <sleef.h>

__m128d Sleef_sinpid2_u05(__m128d a);
__m128d Sleef_sinpid2_u05sse2(__m128d a);
__m128d Sleef_sinpid2_u05sse4(__m128d a);
__m128d Sleef_sinpid2_u05avx2128(__m128d a);
__m128d Sleef_cinz_sinpid2_u05sse2(__m128d a);
__m128d Sleef_cinz_sinpid2_u05sse4(__m128d a);
__m128d Sleef_finz_sinpid2_u05avx2128(__m128d a);

__m256d Sleef_sinpid4_u05(__m256d a);
__m256d Sleef_sinpid4_u05avx(__m256d a);
__m256d Sleef_sinpid4_u05avx2(__m256d a);
__m256d Sleef_sinpid4_u05fma4(__m256d a);
__m256d Sleef_cinz_sinpid4_u05avx(__m256d a);
__m256d Sleef_finz_sinpid4_u05avx2(__m256d a);
__m256d Sleef_finz_sinpid4_u05fma4(__m256d a);

__m512d Sleef_sinpid8_u05(__m512d a);
__m512d Sleef_sinpid8_u05avx512f(__m512d a);
__m512d Sleef_cinz_sinpid8_u05avx512fnofma(__m512d a);
__m512d Sleef_finz_sinpid8_u05avx512f(__m512d a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_sinpi_u05 with the same accuracy specification.

Vectorized single precision sine functions with 0.506 ULP error bound

Synopsis

#include <sleef.h>

__m128 Sleef_sinpif4_u05(__m128 a);
__m128 Sleef_sinpif4_u05sse2(__m128 a);
__m128 Sleef_sinpif4_u05sse4(__m128 a);
__m128 Sleef_sinpif4_u05avx2128(__m128 a);
__m128 Sleef_cinz_sinpif4_u05sse2(__m128 a);
__m128 Sleef_cinz_sinpif4_u05sse4(__m128 a);
__m128 Sleef_finz_sinpif4_u05avx2128(__m128 a);

__m256 Sleef_sinpif8_u05(__m256 a);
__m256 Sleef_sinpif8_u05avx(__m256 a);
__m256 Sleef_sinpif8_u05avx2(__m256 a);
__m256 Sleef_sinpif8_u05fma4(__m256 a);
__m256 Sleef_cinz_sinpif8_u05avx(__m256 a);
__m256 Sleef_finz_sinpif8_u05avx2(__m256 a);
__m256 Sleef_finz_sinpif8_u05fma4(__m256 a);

__m512 Sleef_sinpif16_u05(__m512 a);
__m512 Sleef_sinpif16_u05avx512f(__m512 a);
__m512 Sleef_cinz_sinpif16_u05avx512fnofma(__m512 a);
__m512 Sleef_finz_sinpif16_u05avx512f(__m512 a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_sinpif_u05 with the same accuracy specification.

Vectorized double precision cosine functions with 0.506 ULP error bound

Synopsis

#include <sleef.h>

__m128d Sleef_cospid2_u05(__m128d a);
__m128d Sleef_cospid2_u05sse2(__m128d a);
__m128d Sleef_cospid2_u05sse4(__m128d a);
__m128d Sleef_cospid2_u05avx2128(__m128d a);
__m128d Sleef_cinz_cospid2_u05sse2(__m128d a);
__m128d Sleef_cinz_cospid2_u05sse4(__m128d a);
__m128d Sleef_finz_cospid2_u05avx2128(__m128d a);

__m256d Sleef_cospid4_u05(__m256d a);
__m256d Sleef_cospid4_u05avx(__m256d a);
__m256d Sleef_cospid4_u05avx2(__m256d a);
__m256d Sleef_cospid4_u05fma4(__m256d a);
__m256d Sleef_cinz_cospid4_u05avx(__m256d a);
__m256d Sleef_finz_cospid4_u05avx2(__m256d a);
__m256d Sleef_finz_cospid4_u05fma4(__m256d a);

__m512d Sleef_cospid8_u05(__m512d a);
__m512d Sleef_cospid8_u05avx512f(__m512d a);
__m512d Sleef_cinz_cospid8_u05avx512fnofma(__m512d a);
__m512d Sleef_finz_cospid8_u05avx512f(__m512d a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_cospi_u05 with the same accuracy specification.

Vectorized single precision cosine functions with 0.506 ULP error bound

Synopsis

#include <sleef.h>

__m128 Sleef_cospif4_u05(__m128 a);
__m128 Sleef_cospif4_u05sse2(__m128 a);
__m128 Sleef_cospif4_u05sse4(__m128 a);
__m128 Sleef_cospif4_u05avx2128(__m128 a);
__m128 Sleef_cinz_cospif4_u05sse2(__m128 a);
__m128 Sleef_cinz_cospif4_u05sse4(__m128 a);
__m128 Sleef_finz_cospif4_u05avx2128(__m128 a);

__m256 Sleef_cospif8_u05(__m256 a);
__m256 Sleef_cospif8_u05avx(__m256 a);
__m256 Sleef_cospif8_u05avx2(__m256 a);
__m256 Sleef_cospif8_u05fma4(__m256 a);
__m256 Sleef_cinz_cospif8_u05avx(__m256 a);
__m256 Sleef_finz_cospif8_u05avx2(__m256 a);
__m256 Sleef_finz_cospif8_u05fma4(__m256 a);

__m512 Sleef_cospif16_u05(__m512 a);
__m512 Sleef_cospif16_u05avx512f(__m512 a);
__m512 Sleef_cinz_cospif16_u05avx512fnofma(__m512 a);
__m512 Sleef_finz_cospif16_u05avx512f(__m512 a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_cospif_u05 with the same accuracy specification.

Vectorized double precision combined sine and cosine functions with 0.506 ULP error bound

Synopsis

#include <sleef.h>

Sleef___m128d_2 Sleef_sincospid2_u05(__m128d a);
Sleef___m128d_2 Sleef_sincospid2_u05sse2(__m128d a);
Sleef___m128d_2 Sleef_sincospid2_u05sse4(__m128d a);
Sleef___m128d_2 Sleef_sincospid2_u05avx2128(__m128d a);
Sleef___m128d_2 Sleef_cinz_sincospid2_u05sse2(__m128d a);
Sleef___m128d_2 Sleef_cinz_sincospid2_u05sse4(__m128d a);
Sleef___m128d_2 Sleef_finz_sincospid2_u05avx2128(__m128d a);

Sleef___m256d_2 Sleef_sincospid4_u05(__m256d a);
Sleef___m256d_2 Sleef_sincospid4_u05avx(__m256d a);
Sleef___m256d_2 Sleef_sincospid4_u05avx2(__m256d a);
Sleef___m256d_2 Sleef_sincospid4_u05fma4(__m256d a);
Sleef___m256d_2 Sleef_cinz_sincospid4_u05avx(__m256d a);
Sleef___m256d_2 Sleef_finz_sincospid4_u05avx2(__m256d a);
Sleef___m256d_2 Sleef_finz_sincospid4_u05fma4(__m256d a);

Sleef___m512d_2 Sleef_sincospid8_u05(__m512d a);
Sleef___m512d_2 Sleef_sincospid8_u05avx512f(__m512d a);
Sleef___m512d_2 Sleef_cinz_sincospid8_u05avx512fnofma(__m512d a);
Sleef___m512d_2 Sleef_finz_sincospid8_u05avx512f(__m512d a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_sincospi_u05 with the same accuracy specification.

Vectorized single precision combined sine and cosine functions with 0.506 ULP error bound

Synopsis

#include <sleef.h>

Sleef___m128_2 Sleef_sincospif4_u05(__m128 a);
Sleef___m128_2 Sleef_sincospif4_u05sse2(__m128 a);
Sleef___m128_2 Sleef_sincospif4_u05sse4(__m128 a);
Sleef___m128_2 Sleef_sincospif4_u05avx2128(__m128 a);
Sleef___m128_2 Sleef_cinz_sincospif4_u05sse2(__m128 a);
Sleef___m128_2 Sleef_cinz_sincospif4_u05sse4(__m128 a);
Sleef___m128_2 Sleef_finz_sincospif4_u05avx2128(__m128 a);

Sleef___m256_2 Sleef_sincospif8_u05(__m256 a);
Sleef___m256_2 Sleef_sincospif8_u05avx(__m256 a);
Sleef___m256_2 Sleef_sincospif8_u05avx2(__m256 a);
Sleef___m256_2 Sleef_sincospif8_u05fma4(__m256 a);
Sleef___m256_2 Sleef_cinz_sincospif8_u05avx(__m256 a);
Sleef___m256_2 Sleef_finz_sincospif8_u05avx2(__m256 a);
Sleef___m256_2 Sleef_finz_sincospif8_u05fma4(__m256 a);

Sleef___m512_2 Sleef_sincospif16_u05(__m512 a);
Sleef___m512_2 Sleef_sincospif16_u05avx512f(__m512 a);
Sleef___m512_2 Sleef_cinz_sincospif16_u05avx512fnofma(__m512 a);
Sleef___m512_2 Sleef_finz_sincospif16_u05avx512f(__m512 a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_sincospif_u05 with the same accuracy specification.

Vectorized double precision combined sine and cosine functions with 3.5 ULP error bound

Synopsis

#include <sleef.h>

Sleef___m128d_2 Sleef_sincospid2_u35(__m128d a);
Sleef___m128d_2 Sleef_sincospid2_u35sse2(__m128d a);
Sleef___m128d_2 Sleef_sincospid2_u35sse4(__m128d a);
Sleef___m128d_2 Sleef_sincospid2_u35avx2128(__m128d a);
Sleef___m128d_2 Sleef_cinz_sincospid2_u35sse2(__m128d a);
Sleef___m128d_2 Sleef_cinz_sincospid2_u35sse4(__m128d a);
Sleef___m128d_2 Sleef_finz_sincospid2_u35avx2128(__m128d a);

Sleef___m256d_2 Sleef_sincospid4_u35(__m256d a);
Sleef___m256d_2 Sleef_sincospid4_u35avx(__m256d a);
Sleef___m256d_2 Sleef_sincospid4_u35avx2(__m256d a);
Sleef___m256d_2 Sleef_sincospid4_u35fma4(__m256d a);
Sleef___m256d_2 Sleef_cinz_sincospid4_u35avx(__m256d a);
Sleef___m256d_2 Sleef_finz_sincospid4_u35avx2(__m256d a);
Sleef___m256d_2 Sleef_finz_sincospid4_u35fma4(__m256d a);

Sleef___m512d_2 Sleef_sincospid8_u35(__m512d a);
Sleef___m512d_2 Sleef_sincospid8_u35avx512f(__m512d a);
Sleef___m512d_2 Sleef_cinz_sincospid8_u35avx512fnofma(__m512d a);
Sleef___m512d_2 Sleef_finz_sincospid8_u35avx512f(__m512d a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_sincospi_u35 with the same accuracy specification.

Vectorized single precision combined sine and cosine functions with 3.5 ULP error bound

Synopsis

#include <sleef.h>

Sleef___m128_2 Sleef_sincospif4_u35(__m128 a);
Sleef___m128_2 Sleef_sincospif4_u35sse2(__m128 a);
Sleef___m128_2 Sleef_sincospif4_u35sse4(__m128 a);
Sleef___m128_2 Sleef_sincospif4_u35avx2128(__m128 a);
Sleef___m128_2 Sleef_cinz_sincospif4_u35sse2(__m128 a);
Sleef___m128_2 Sleef_cinz_sincospif4_u35sse4(__m128 a);
Sleef___m128_2 Sleef_finz_sincospif4_u35avx2128(__m128 a);

Sleef___m256_2 Sleef_sincospif8_u35(__m256 a);
Sleef___m256_2 Sleef_sincospif8_u35avx(__m256 a);
Sleef___m256_2 Sleef_sincospif8_u35avx2(__m256 a);
Sleef___m256_2 Sleef_sincospif8_u35fma4(__m256 a);
Sleef___m256_2 Sleef_cinz_sincospif8_u35avx(__m256 a);
Sleef___m256_2 Sleef_finz_sincospif8_u35avx2(__m256 a);
Sleef___m256_2 Sleef_finz_sincospif8_u35fma4(__m256 a);

Sleef___m512_2 Sleef_sincospif16_u35(__m512 a);
Sleef___m512_2 Sleef_sincospif16_u35avx512f(__m512 a);
Sleef___m512_2 Sleef_cinz_sincospif16_u35avx512fnofma(__m512 a);
Sleef___m512_2 Sleef_finz_sincospif16_u35avx512f(__m512 a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_sincospif_u35 with the same accuracy specification.

Vectorized double precision tangent functions with 1.0 ULP error bound

Synopsis

#include <sleef.h>

__m128d Sleef_tand2_u10(__m128d a);
__m128d Sleef_tand2_u10sse2(__m128d a);
__m128d Sleef_tand2_u10sse4(__m128d a);
__m128d Sleef_tand2_u10avx2128(__m128d a);
__m128d Sleef_cinz_tand2_u10sse2(__m128d a);
__m128d Sleef_cinz_tand2_u10sse4(__m128d a);
__m128d Sleef_finz_tand2_u10avx2128(__m128d a);

__m256d Sleef_tand4_u10(__m256d a);
__m256d Sleef_tand4_u10avx(__m256d a);
__m256d Sleef_tand4_u10avx2(__m256d a);
__m256d Sleef_tand4_u10fma4(__m256d a);
__m256d Sleef_cinz_tand4_u10avx(__m256d a);
__m256d Sleef_finz_tand4_u10avx2(__m256d a);
__m256d Sleef_finz_tand4_u10fma4(__m256d a);

__m512d Sleef_tand8_u10(__m512d a);
__m512d Sleef_tand8_u10avx512f(__m512d a);
__m512d Sleef_cinz_tand8_u10avx512fnofma(__m512d a);
__m512d Sleef_finz_tand8_u10avx512f(__m512d a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_tan_u10 with the same accuracy specification.

Vectorized single precision tangent functions with 1.0 ULP error bound

Synopsis

#include <sleef.h>

__m128 Sleef_tanf4_u10(__m128 a);
__m128 Sleef_tanf4_u10sse2(__m128 a);
__m128 Sleef_tanf4_u10sse4(__m128 a);
__m128 Sleef_tanf4_u10avx2128(__m128 a);
__m128 Sleef_cinz_tanf4_u10sse2(__m128 a);
__m128 Sleef_cinz_tanf4_u10sse4(__m128 a);
__m128 Sleef_finz_tanf4_u10avx2128(__m128 a);

__m256 Sleef_tanf8_u10(__m256 a);
__m256 Sleef_tanf8_u10avx(__m256 a);
__m256 Sleef_tanf8_u10avx2(__m256 a);
__m256 Sleef_tanf8_u10fma4(__m256 a);
__m256 Sleef_cinz_tanf8_u10avx(__m256 a);
__m256 Sleef_finz_tanf8_u10avx2(__m256 a);
__m256 Sleef_finz_tanf8_u10fma4(__m256 a);

__m512 Sleef_tanf16_u10(__m512 a);
__m512 Sleef_tanf16_u10avx512f(__m512 a);
__m512 Sleef_cinz_tanf16_u10avx512fnofma(__m512 a);
__m512 Sleef_finz_tanf16_u10avx512f(__m512 a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_tanf_u10 with the same accuracy specification.

Vectorized double precision tangent functions with 3.5 ULP error bound

Synopsis

#include <sleef.h>

__m128d Sleef_tand2_u35(__m128d a);
__m128d Sleef_tand2_u35sse2(__m128d a);
__m128d Sleef_tand2_u35sse4(__m128d a);
__m128d Sleef_tand2_u35avx2128(__m128d a);
__m128d Sleef_cinz_tand2_u35sse2(__m128d a);
__m128d Sleef_cinz_tand2_u35sse4(__m128d a);
__m128d Sleef_finz_tand2_u35avx2128(__m128d a);

__m256d Sleef_tand4_u35(__m256d a);
__m256d Sleef_tand4_u35avx(__m256d a);
__m256d Sleef_tand4_u35avx2(__m256d a);
__m256d Sleef_tand4_u35fma4(__m256d a);
__m256d Sleef_cinz_tand4_u35avx(__m256d a);
__m256d Sleef_finz_tand4_u35avx2(__m256d a);
__m256d Sleef_finz_tand4_u35fma4(__m256d a);

__m512d Sleef_tand8_u35(__m512d a);
__m512d Sleef_tand8_u35avx512f(__m512d a);
__m512d Sleef_cinz_tand8_u35avx512fnofma(__m512d a);
__m512d Sleef_finz_tand8_u35avx512f(__m512d a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_tan_u35 with the same accuracy specification.

Vectorized single precision tangent functions with 3.5 ULP error bound

Synopsis

#include <sleef.h>

__m128 Sleef_tanf4_u35(__m128 a);
__m128 Sleef_tanf4_u35sse2(__m128 a);
__m128 Sleef_tanf4_u35sse4(__m128 a);
__m128 Sleef_tanf4_u35avx2128(__m128 a);
__m128 Sleef_cinz_tanf4_u35sse2(__m128 a);
__m128 Sleef_cinz_tanf4_u35sse4(__m128 a);
__m128 Sleef_finz_tanf4_u35avx2128(__m128 a);

__m256 Sleef_tanf8_u35(__m256 a);
__m256 Sleef_tanf8_u35avx(__m256 a);
__m256 Sleef_tanf8_u35avx2(__m256 a);
__m256 Sleef_tanf8_u35fma4(__m256 a);
__m256 Sleef_cinz_tanf8_u35avx(__m256 a);
__m256 Sleef_finz_tanf8_u35avx2(__m256 a);
__m256 Sleef_finz_tanf8_u35fma4(__m256 a);

__m512 Sleef_tanf16_u35(__m512 a);
__m512 Sleef_tanf16_u35avx512f(__m512 a);
__m512 Sleef_cinz_tanf16_u35avx512fnofma(__m512 a);
__m512 Sleef_finz_tanf16_u35avx512f(__m512 a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_tanf_u35 with the same accuracy specification.

Power, exponential, and logarithmic functions

Vectorized double precision power functions with 1.0 ULP error bound

Synopsis

#include <sleef.h>

__m128d Sleef_powd2_u10(__m128d a, __m128d b);
__m128d Sleef_powd2_u10sse2(__m128d a, __m128d b);
__m128d Sleef_powd2_u10sse4(__m128d a, __m128d b);
__m128d Sleef_powd2_u10avx2128(__m128d a, __m128d b);
__m128d Sleef_cinz_powd2_u10sse2(__m128d a, __m128d b);
__m128d Sleef_cinz_powd2_u10sse4(__m128d a, __m128d b);
__m128d Sleef_finz_powd2_u10avx2128(__m128d a, __m128d b);

__m256d Sleef_powd4_u10(__m256d a, __m256d b);
__m256d Sleef_powd4_u10avx(__m256d a, __m256d b);
__m256d Sleef_powd4_u10avx2(__m256d a, __m256d b);
__m256d Sleef_powd4_u10fma4(__m256d a, __m256d b);
__m256d Sleef_cinz_powd4_u10avx(__m256d a, __m256d b);
__m256d Sleef_finz_powd4_u10avx2(__m256d a, __m256d b);
__m256d Sleef_finz_powd4_u10fma4(__m256d a, __m256d b);

__m512d Sleef_powd8_u10(__m512d a, __m512d b);
__m512d Sleef_powd8_u10avx512f(__m512d a, __m512d b);
__m512d Sleef_cinz_powd8_u10avx512fnofma(__m512d a, __m512d b);
__m512d Sleef_finz_powd8_u10avx512f(__m512d a, __m512d b);
Link with -lsleef.

Description

These are the vectorized functions of Sleef_pow_u10 with the same accuracy specification.

Vectorized single precision power functions with 1.0 ULP error bound

Synopsis

#include <sleef.h>

__m128 Sleef_powf4_u10(__m128 a, __m128 b);
__m128 Sleef_powf4_u10sse2(__m128 a, __m128 b);
__m128 Sleef_powf4_u10sse4(__m128 a, __m128 b);
__m128 Sleef_powf4_u10avx2128(__m128 a, __m128 b);
__m128 Sleef_cinz_powf4_u10sse2(__m128 a, __m128 b);
__m128 Sleef_cinz_powf4_u10sse4(__m128 a, __m128 b);
__m128 Sleef_finz_powf4_u10avx2128(__m128 a, __m128 b);

__m256 Sleef_powf8_u10(__m256 a, __m256 b);
__m256 Sleef_powf8_u10avx(__m256 a, __m256 b);
__m256 Sleef_powf8_u10avx2(__m256 a, __m256 b);
__m256 Sleef_powf8_u10fma4(__m256 a, __m256 b);
__m256 Sleef_cinz_powf8_u10avx(__m256 a, __m256 b);
__m256 Sleef_finz_powf8_u10avx2(__m256 a, __m256 b);
__m256 Sleef_finz_powf8_u10fma4(__m256 a, __m256 b);

__m512 Sleef_powf16_u10(__m512 a, __m512 b);
__m512 Sleef_powf16_u10avx512f(__m512 a, __m512 b);
__m512 Sleef_cinz_powf16_u10avx512fnofma(__m512 a, __m512 b);
__m512 Sleef_finz_powf16_u10avx512f(__m512 a, __m512 b);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_powf_u10 with the same accuracy specification.

Vectorized double precision natural logarithmic functions with 1.0 ULP error bound

Synopsis

#include <sleef.h>

__m128d Sleef_logd2_u10(__m128d a);
__m128d Sleef_logd2_u10sse2(__m128d a);
__m128d Sleef_logd2_u10sse4(__m128d a);
__m128d Sleef_logd2_u10avx2128(__m128d a);
__m128d Sleef_cinz_logd2_u10sse2(__m128d a);
__m128d Sleef_cinz_logd2_u10sse4(__m128d a);
__m128d Sleef_finz_logd2_u10avx2128(__m128d a);

__m256d Sleef_logd4_u10(__m256d a);
__m256d Sleef_logd4_u10avx(__m256d a);
__m256d Sleef_logd4_u10avx2(__m256d a);
__m256d Sleef_logd4_u10fma4(__m256d a);
__m256d Sleef_cinz_logd4_u10avx(__m256d a);
__m256d Sleef_finz_logd4_u10avx2(__m256d a);
__m256d Sleef_finz_logd4_u10fma4(__m256d a);

__m512d Sleef_logd8_u10(__m512d a);
__m512d Sleef_logd8_u10avx512f(__m512d a);
__m512d Sleef_cinz_logd8_u10avx512fnofma(__m512d a);
__m512d Sleef_finz_logd8_u10avx512f(__m512d a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_log_u10 with the same accuracy specification.

Vectorized single precision natural logarithmic functions with 1.0 ULP error bound

Synopsis

#include <sleef.h>

__m128 Sleef_logf4_u10(__m128 a);
__m128 Sleef_logf4_u10sse2(__m128 a);
__m128 Sleef_logf4_u10sse4(__m128 a);
__m128 Sleef_logf4_u10avx2128(__m128 a);
__m128 Sleef_cinz_logf4_u10sse2(__m128 a);
__m128 Sleef_cinz_logf4_u10sse4(__m128 a);
__m128 Sleef_finz_logf4_u10avx2128(__m128 a);

__m256 Sleef_logf8_u10(__m256 a);
__m256 Sleef_logf8_u10avx(__m256 a);
__m256 Sleef_logf8_u10avx2(__m256 a);
__m256 Sleef_logf8_u10fma4(__m256 a);
__m256 Sleef_cinz_logf8_u10avx(__m256 a);
__m256 Sleef_finz_logf8_u10avx2(__m256 a);
__m256 Sleef_finz_logf8_u10fma4(__m256 a);

__m512 Sleef_logf16_u10(__m512 a);
__m512 Sleef_logf16_u10avx512f(__m512 a);
__m512 Sleef_cinz_logf16_u10avx512fnofma(__m512 a);
__m512 Sleef_finz_logf16_u10avx512f(__m512 a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_logf_u10 with the same accuracy specification.

Vectorized double precision natural logarithmic functions with 3.5 ULP error bound

Synopsis

#include <sleef.h>

__m128d Sleef_logd2_u35(__m128d a);
__m128d Sleef_logd2_u35sse2(__m128d a);
__m128d Sleef_logd2_u35sse4(__m128d a);
__m128d Sleef_logd2_u35avx2128(__m128d a);
__m128d Sleef_cinz_logd2_u35sse2(__m128d a);
__m128d Sleef_cinz_logd2_u35sse4(__m128d a);
__m128d Sleef_finz_logd2_u35avx2128(__m128d a);

__m256d Sleef_logd4_u35(__m256d a);
__m256d Sleef_logd4_u35avx(__m256d a);
__m256d Sleef_logd4_u35avx2(__m256d a);
__m256d Sleef_logd4_u35fma4(__m256d a);
__m256d Sleef_cinz_logd4_u35avx(__m256d a);
__m256d Sleef_finz_logd4_u35avx2(__m256d a);
__m256d Sleef_finz_logd4_u35fma4(__m256d a);

__m512d Sleef_logd8_u35(__m512d a);
__m512d Sleef_logd8_u35avx512f(__m512d a);
__m512d Sleef_cinz_logd8_u35avx512fnofma(__m512d a);
__m512d Sleef_finz_logd8_u35avx512f(__m512d a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_log_u35 with the same accuracy specification.

Vectorized single precision natural logarithmic functions with 3.5 ULP error bound

Synopsis

#include <sleef.h>

__m128 Sleef_logf4_u35(__m128 a);
__m128 Sleef_logf4_u35sse2(__m128 a);
__m128 Sleef_logf4_u35sse4(__m128 a);
__m128 Sleef_logf4_u35avx2128(__m128 a);
__m128 Sleef_cinz_logf4_u35sse2(__m128 a);
__m128 Sleef_cinz_logf4_u35sse4(__m128 a);
__m128 Sleef_finz_logf4_u35avx2128(__m128 a);

__m256 Sleef_logf8_u35(__m256 a);
__m256 Sleef_logf8_u35avx(__m256 a);
__m256 Sleef_logf8_u35avx2(__m256 a);
__m256 Sleef_logf8_u35fma4(__m256 a);
__m256 Sleef_cinz_logf8_u35avx(__m256 a);
__m256 Sleef_finz_logf8_u35avx2(__m256 a);
__m256 Sleef_finz_logf8_u35fma4(__m256 a);

__m512 Sleef_logf16_u35(__m512 a);
__m512 Sleef_logf16_u35avx512f(__m512 a);
__m512 Sleef_cinz_logf16_u35avx512fnofma(__m512 a);
__m512 Sleef_finz_logf16_u35avx512f(__m512 a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_logf_u35 with the same accuracy specification.

Vectorized double precision base-10 logarithmic functions with 1.0 ULP error bound

Synopsis

#include <sleef.h>

__m128d Sleef_log10d2_u10(__m128d a);
__m128d Sleef_log10d2_u10sse2(__m128d a);
__m128d Sleef_log10d2_u10sse4(__m128d a);
__m128d Sleef_log10d2_u10avx2128(__m128d a);
__m128d Sleef_cinz_log10d2_u10sse2(__m128d a);
__m128d Sleef_cinz_log10d2_u10sse4(__m128d a);
__m128d Sleef_finz_log10d2_u10avx2128(__m128d a);

__m256d Sleef_log10d4_u10(__m256d a);
__m256d Sleef_log10d4_u10avx(__m256d a);
__m256d Sleef_log10d4_u10avx2(__m256d a);
__m256d Sleef_log10d4_u10fma4(__m256d a);
__m256d Sleef_cinz_log10d4_u10avx(__m256d a);
__m256d Sleef_finz_log10d4_u10avx2(__m256d a);
__m256d Sleef_finz_log10d4_u10fma4(__m256d a);

__m512d Sleef_log10d8_u10(__m512d a);
__m512d Sleef_log10d8_u10avx512f(__m512d a);
__m512d Sleef_cinz_log10d8_u10avx512fnofma(__m512d a);
__m512d Sleef_finz_log10d8_u10avx512f(__m512d a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_log10_u10 with the same accuracy specification.

Vectorized single precision base-10 logarithmic functions with 1.0 ULP error bound

Synopsis

#include <sleef.h>

__m128 Sleef_log10f4_u10(__m128 a);
__m128 Sleef_log10f4_u10sse2(__m128 a);
__m128 Sleef_log10f4_u10sse4(__m128 a);
__m128 Sleef_log10f4_u10avx2128(__m128 a);
__m128 Sleef_cinz_log10f4_u10sse2(__m128 a);
__m128 Sleef_cinz_log10f4_u10sse4(__m128 a);
__m128 Sleef_finz_log10f4_u10avx2128(__m128 a);

__m256 Sleef_log10f8_u10(__m256 a);
__m256 Sleef_log10f8_u10avx(__m256 a);
__m256 Sleef_log10f8_u10avx2(__m256 a);
__m256 Sleef_log10f8_u10fma4(__m256 a);
__m256 Sleef_cinz_log10f8_u10avx(__m256 a);
__m256 Sleef_finz_log10f8_u10avx2(__m256 a);
__m256 Sleef_finz_log10f8_u10fma4(__m256 a);

__m512 Sleef_log10f16_u10(__m512 a);
__m512 Sleef_log10f16_u10avx512f(__m512 a);
__m512 Sleef_cinz_log10f16_u10avx512fnofma(__m512 a);
__m512 Sleef_finz_log10f16_u10avx512f(__m512 a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_log10f_u10 with the same accuracy specification.

Vectorized double precision base-2 logarithmic functions with 1.0 ULP error bound

Synopsis

#include <sleef.h>

__m128d Sleef_log2d2_u10(__m128d a);
__m128d Sleef_log2d2_u10sse2(__m128d a);
__m128d Sleef_log2d2_u10sse4(__m128d a);
__m128d Sleef_log2d2_u10avx2128(__m128d a);
__m128d Sleef_cinz_log2d2_u10sse2(__m128d a);
__m128d Sleef_cinz_log2d2_u10sse4(__m128d a);
__m128d Sleef_finz_log2d2_u10avx2128(__m128d a);

__m256d Sleef_log2d4_u10(__m256d a);
__m256d Sleef_log2d4_u10avx(__m256d a);
__m256d Sleef_log2d4_u10avx2(__m256d a);
__m256d Sleef_log2d4_u10fma4(__m256d a);
__m256d Sleef_cinz_log2d4_u10avx(__m256d a);
__m256d Sleef_finz_log2d4_u10avx2(__m256d a);
__m256d Sleef_finz_log2d4_u10fma4(__m256d a);

__m512d Sleef_log2d8_u10(__m512d a);
__m512d Sleef_log2d8_u10avx512f(__m512d a);
__m512d Sleef_cinz_log2d8_u10avx512fnofma(__m512d a);
__m512d Sleef_finz_log2d8_u10avx512f(__m512d a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_log2_u10 with the same accuracy specification.

Vectorized single precision base-2 logarithmic functions with 1.0 ULP error bound

Synopsis

#include <sleef.h>

__m128 Sleef_log2f4_u10(__m128 a);
__m128 Sleef_log2f4_u10sse2(__m128 a);
__m128 Sleef_log2f4_u10sse4(__m128 a);
__m128 Sleef_log2f4_u10avx2128(__m128 a);
__m128 Sleef_cinz_log2f4_u10sse2(__m128 a);
__m128 Sleef_cinz_log2f4_u10sse4(__m128 a);
__m128 Sleef_finz_log2f4_u10avx2128(__m128 a);

__m256 Sleef_log2f8_u10(__m256 a);
__m256 Sleef_log2f8_u10avx(__m256 a);
__m256 Sleef_log2f8_u10avx2(__m256 a);
__m256 Sleef_log2f8_u10fma4(__m256 a);
__m256 Sleef_cinz_log2f8_u10avx(__m256 a);
__m256 Sleef_finz_log2f8_u10avx2(__m256 a);
__m256 Sleef_finz_log2f8_u10fma4(__m256 a);

__m512 Sleef_log2f16_u10(__m512 a);
__m512 Sleef_log2f16_u10avx512f(__m512 a);
__m512 Sleef_cinz_log2f16_u10avx512fnofma(__m512 a);
__m512 Sleef_finz_log2f16_u10avx512f(__m512 a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_log2f_u10 with the same accuracy specification.

Vectorized double precision logarithm of one plus argument with 1.0 ULP error bound

Synopsis

#include <sleef.h>

__m128d Sleef_log1pd2_u10(__m128d a);
__m128d Sleef_log1pd2_u10sse2(__m128d a);
__m128d Sleef_log1pd2_u10sse4(__m128d a);
__m128d Sleef_log1pd2_u10avx2128(__m128d a);
__m128d Sleef_cinz_log1pd2_u10sse2(__m128d a);
__m128d Sleef_cinz_log1pd2_u10sse4(__m128d a);
__m128d Sleef_finz_log1pd2_u10avx2128(__m128d a);

__m256d Sleef_log1pd4_u10(__m256d a);
__m256d Sleef_log1pd4_u10avx(__m256d a);
__m256d Sleef_log1pd4_u10avx2(__m256d a);
__m256d Sleef_log1pd4_u10fma4(__m256d a);
__m256d Sleef_cinz_log1pd4_u10avx(__m256d a);
__m256d Sleef_finz_log1pd4_u10avx2(__m256d a);
__m256d Sleef_finz_log1pd4_u10fma4(__m256d a);

__m512d Sleef_log1pd8_u10(__m512d a);
__m512d Sleef_log1pd8_u10avx512f(__m512d a);
__m512d Sleef_cinz_log1pd8_u10avx512fnofma(__m512d a);
__m512d Sleef_finz_log1pd8_u10avx512f(__m512d a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_log1p_u10 with the same accuracy specification.

Vectorized single precision logarithm of one plus argument with 1.0 ULP error bound

Synopsis

#include <sleef.h>

__m128 Sleef_log1pf4_u10(__m128 a);
__m128 Sleef_log1pf4_u10sse2(__m128 a);
__m128 Sleef_log1pf4_u10sse4(__m128 a);
__m128 Sleef_log1pf4_u10avx2128(__m128 a);
__m128 Sleef_cinz_log1pf4_u10sse2(__m128 a);
__m128 Sleef_cinz_log1pf4_u10sse4(__m128 a);
__m128 Sleef_finz_log1pf4_u10avx2128(__m128 a);

__m256 Sleef_log1pf8_u10(__m256 a);
__m256 Sleef_log1pf8_u10avx(__m256 a);
__m256 Sleef_log1pf8_u10avx2(__m256 a);
__m256 Sleef_log1pf8_u10fma4(__m256 a);
__m256 Sleef_cinz_log1pf8_u10avx(__m256 a);
__m256 Sleef_finz_log1pf8_u10avx2(__m256 a);
__m256 Sleef_finz_log1pf8_u10fma4(__m256 a);

__m512 Sleef_log1pf16_u10(__m512 a);
__m512 Sleef_log1pf16_u10avx512f(__m512 a);
__m512 Sleef_cinz_log1pf16_u10avx512fnofma(__m512 a);
__m512 Sleef_finz_log1pf16_u10avx512f(__m512 a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_log1pf_u10 with the same accuracy specification.

Vectorized double precision base-e exponential functions functions with 1.0 ULP error bound

Synopsis

#include <sleef.h>

__m128d Sleef_expd2_u10(__m128d a);
__m128d Sleef_expd2_u10sse2(__m128d a);
__m128d Sleef_expd2_u10sse4(__m128d a);
__m128d Sleef_expd2_u10avx2128(__m128d a);
__m128d Sleef_cinz_expd2_u10sse2(__m128d a);
__m128d Sleef_cinz_expd2_u10sse4(__m128d a);
__m128d Sleef_finz_expd2_u10avx2128(__m128d a);

__m256d Sleef_expd4_u10(__m256d a);
__m256d Sleef_expd4_u10avx(__m256d a);
__m256d Sleef_expd4_u10avx2(__m256d a);
__m256d Sleef_expd4_u10fma4(__m256d a);
__m256d Sleef_cinz_expd4_u10avx(__m256d a);
__m256d Sleef_finz_expd4_u10avx2(__m256d a);
__m256d Sleef_finz_expd4_u10fma4(__m256d a);

__m512d Sleef_expd8_u10(__m512d a);
__m512d Sleef_expd8_u10avx512f(__m512d a);
__m512d Sleef_cinz_expd8_u10avx512fnofma(__m512d a);
__m512d Sleef_finz_expd8_u10avx512f(__m512d a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_exp_u10 with the same accuracy specification.

Vectorized single precision base-e exponential functions functions with 1.0 ULP error bound

Synopsis

#include <sleef.h>

__m128 Sleef_expf4_u10(__m128 a);
__m128 Sleef_expf4_u10sse2(__m128 a);
__m128 Sleef_expf4_u10sse4(__m128 a);
__m128 Sleef_expf4_u10avx2128(__m128 a);
__m128 Sleef_cinz_expf4_u10sse2(__m128 a);
__m128 Sleef_cinz_expf4_u10sse4(__m128 a);
__m128 Sleef_finz_expf4_u10avx2128(__m128 a);

__m256 Sleef_expf8_u10(__m256 a);
__m256 Sleef_expf8_u10avx(__m256 a);
__m256 Sleef_expf8_u10avx2(__m256 a);
__m256 Sleef_expf8_u10fma4(__m256 a);
__m256 Sleef_cinz_expf8_u10avx(__m256 a);
__m256 Sleef_finz_expf8_u10avx2(__m256 a);
__m256 Sleef_finz_expf8_u10fma4(__m256 a);

__m512 Sleef_expf16_u10(__m512 a);
__m512 Sleef_expf16_u10avx512f(__m512 a);
__m512 Sleef_cinz_expf16_u10avx512fnofma(__m512 a);
__m512 Sleef_finz_expf16_u10avx512f(__m512 a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_expf_u10 with the same accuracy specification.

Vectorized double precision base-2 exponential functions functions with 1.0 ULP error bound

Synopsis

#include <sleef.h>

__m128d Sleef_exp2d2_u10(__m128d a);
__m128d Sleef_exp2d2_u10sse2(__m128d a);
__m128d Sleef_exp2d2_u10sse4(__m128d a);
__m128d Sleef_exp2d2_u10avx2128(__m128d a);
__m128d Sleef_cinz_exp2d2_u10sse2(__m128d a);
__m128d Sleef_cinz_exp2d2_u10sse4(__m128d a);
__m128d Sleef_finz_exp2d2_u10avx2128(__m128d a);

__m256d Sleef_exp2d4_u10(__m256d a);
__m256d Sleef_exp2d4_u10avx(__m256d a);
__m256d Sleef_exp2d4_u10avx2(__m256d a);
__m256d Sleef_exp2d4_u10fma4(__m256d a);
__m256d Sleef_cinz_exp2d4_u10avx(__m256d a);
__m256d Sleef_finz_exp2d4_u10avx2(__m256d a);
__m256d Sleef_finz_exp2d4_u10fma4(__m256d a);

__m512d Sleef_exp2d8_u10(__m512d a);
__m512d Sleef_exp2d8_u10avx512f(__m512d a);
__m512d Sleef_cinz_exp2d8_u10avx512fnofma(__m512d a);
__m512d Sleef_finz_exp2d8_u10avx512f(__m512d a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_exp2_u10 with the same accuracy specification.

Vectorized single precision base-2 exponential functions functions with 1.0 ULP error bound

Synopsis

#include <sleef.h>

__m128 Sleef_exp2f4_u10(__m128 a);
__m128 Sleef_exp2f4_u10sse2(__m128 a);
__m128 Sleef_exp2f4_u10sse4(__m128 a);
__m128 Sleef_exp2f4_u10avx2128(__m128 a);
__m128 Sleef_cinz_exp2f4_u10sse2(__m128 a);
__m128 Sleef_cinz_exp2f4_u10sse4(__m128 a);
__m128 Sleef_finz_exp2f4_u10avx2128(__m128 a);

__m256 Sleef_exp2f8_u10(__m256 a);
__m256 Sleef_exp2f8_u10avx(__m256 a);
__m256 Sleef_exp2f8_u10avx2(__m256 a);
__m256 Sleef_exp2f8_u10fma4(__m256 a);
__m256 Sleef_cinz_exp2f8_u10avx(__m256 a);
__m256 Sleef_finz_exp2f8_u10avx2(__m256 a);
__m256 Sleef_finz_exp2f8_u10fma4(__m256 a);

__m512 Sleef_exp2f16_u10(__m512 a);
__m512 Sleef_exp2f16_u10avx512f(__m512 a);
__m512 Sleef_cinz_exp2f16_u10avx512fnofma(__m512 a);
__m512 Sleef_finz_exp2f16_u10avx512f(__m512 a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_exp2f_u10 with the same accuracy specification.

Vectorized double precision base-10 exponential functions functions with 1.09 ULP error bound

Synopsis

#include <sleef.h>

__m128d Sleef_exp10d2_u10(__m128d a);
__m128d Sleef_exp10d2_u10sse2(__m128d a);
__m128d Sleef_exp10d2_u10sse4(__m128d a);
__m128d Sleef_exp10d2_u10avx2128(__m128d a);
__m128d Sleef_cinz_exp10d2_u10sse2(__m128d a);
__m128d Sleef_cinz_exp10d2_u10sse4(__m128d a);
__m128d Sleef_finz_exp10d2_u10avx2128(__m128d a);

__m256d Sleef_exp10d4_u10(__m256d a);
__m256d Sleef_exp10d4_u10avx(__m256d a);
__m256d Sleef_exp10d4_u10avx2(__m256d a);
__m256d Sleef_exp10d4_u10fma4(__m256d a);
__m256d Sleef_cinz_exp10d4_u10avx(__m256d a);
__m256d Sleef_finz_exp10d4_u10avx2(__m256d a);
__m256d Sleef_finz_exp10d4_u10fma4(__m256d a);

__m512d Sleef_exp10d8_u10(__m512d a);
__m512d Sleef_exp10d8_u10avx512f(__m512d a);
__m512d Sleef_cinz_exp10d8_u10avx512fnofma(__m512d a);
__m512d Sleef_finz_exp10d8_u10avx512f(__m512d a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_exp10_u10 with the same accuracy specification.

Vectorized single precision base-10 exponential functions functions with 1.0 ULP error bound

Synopsis

#include <sleef.h>

__m128 Sleef_exp10f4_u10(__m128 a);
__m128 Sleef_exp10f4_u10sse2(__m128 a);
__m128 Sleef_exp10f4_u10sse4(__m128 a);
__m128 Sleef_exp10f4_u10avx2128(__m128 a);
__m128 Sleef_cinz_exp10f4_u10sse2(__m128 a);
__m128 Sleef_cinz_exp10f4_u10sse4(__m128 a);
__m128 Sleef_finz_exp10f4_u10avx2128(__m128 a);

__m256 Sleef_exp10f8_u10(__m256 a);
__m256 Sleef_exp10f8_u10avx(__m256 a);
__m256 Sleef_exp10f8_u10avx2(__m256 a);
__m256 Sleef_exp10f8_u10fma4(__m256 a);
__m256 Sleef_cinz_exp10f8_u10avx(__m256 a);
__m256 Sleef_finz_exp10f8_u10avx2(__m256 a);
__m256 Sleef_finz_exp10f8_u10fma4(__m256 a);

__m512 Sleef_exp10f16_u10(__m512 a);
__m512 Sleef_exp10f16_u10avx512f(__m512 a);
__m512 Sleef_cinz_exp10f16_u10avx512fnofma(__m512 a);
__m512 Sleef_finz_exp10f16_u10avx512f(__m512 a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_exp10f_u10 with the same accuracy specification.

Vectorized double precision base-e exponential functions minus 1 with 1.0 ULP error bound

Synopsis

#include <sleef.h>

__m128d Sleef_expm1d2_u10(__m128d a);
__m128d Sleef_expm1d2_u10sse2(__m128d a);
__m128d Sleef_expm1d2_u10sse4(__m128d a);
__m128d Sleef_expm1d2_u10avx2128(__m128d a);
__m128d Sleef_cinz_expm1d2_u10sse2(__m128d a);
__m128d Sleef_cinz_expm1d2_u10sse4(__m128d a);
__m128d Sleef_finz_expm1d2_u10avx2128(__m128d a);

__m256d Sleef_expm1d4_u10(__m256d a);
__m256d Sleef_expm1d4_u10avx(__m256d a);
__m256d Sleef_expm1d4_u10avx2(__m256d a);
__m256d Sleef_expm1d4_u10fma4(__m256d a);
__m256d Sleef_cinz_expm1d4_u10avx(__m256d a);
__m256d Sleef_finz_expm1d4_u10avx2(__m256d a);
__m256d Sleef_finz_expm1d4_u10fma4(__m256d a);

__m512d Sleef_expm1d8_u10(__m512d a);
__m512d Sleef_expm1d8_u10avx512f(__m512d a);
__m512d Sleef_cinz_expm1d8_u10avx512fnofma(__m512d a);
__m512d Sleef_finz_expm1d8_u10avx512f(__m512d a);
Link with -lsleef.

Description

These are the vectorized functions of Sleef_expm1_u10 with the same accuracy specification.

Vectorized single precision base-e exponential functions minus 1 with 1.0 ULP error bound

Synopsis

#include <sleef.h>

__m128 Sleef_expm1f4_u10(__m128 a);
__m128 Sleef_expm1f4_u10sse2(__m128 a);
__m128 Sleef_expm1f4_u10sse4(__m128 a);
__m128 Sleef_expm1f4_u10avx2128(__m128 a);
__m128 Sleef_cinz_expm1f4_u10sse2(__m128 a);
__m128 Sleef_cinz_expm1f4_u10sse4(__m128 a);
__m128 Sleef_finz_expm1f4_u10avx2128(__m128 a);

__m256 Sleef_expm1f8_u10(__m256 a);
__m256 Sleef_expm1f8_u10avx(__m256 a);
__m256 Sleef_expm1f8_u10avx2(__m256 a);
__m256 Sleef_expm1f8_u10fma4(__m256 a);
__m256 Sleef_cinz_expm1f8_u10avx(__m256 a);
__m256 Sleef_finz_expm1f8_u10avx2(__m256 a);
__m256 Sleef_finz_expm1f8_u10fma4(__m256 a);

__m512 Sleef_expm1f16_u10(__m512 a);
__m512 Sleef_expm1f16_u10avx512f(__m512 a);
__m512 Sleef_cinz_expm1f16_u10avx512fnofma(__m512 a);
__m512 Sleef_finz_expm1f16_u10avx512f(__m512 a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_expm1f_u10 with the same accuracy specification.

Vectorized double precision square root functions with 0.5001 ULP error bound

Synopsis

#include <sleef.h>

__m128d Sleef_sqrtd2_u05(__m128d a);
__m128d Sleef_sqrtd2_u05sse2(__m128d a);
__m128d Sleef_sqrtd2_u05sse4(__m128d a);
__m128d Sleef_sqrtd2_u05avx2128(__m128d a);
__m128d Sleef_cinz_sqrtd2_u05sse2(__m128d a);
__m128d Sleef_cinz_sqrtd2_u05sse4(__m128d a);
__m128d Sleef_finz_sqrtd2_u05avx2128(__m128d a);

__m256d Sleef_sqrtd4_u05(__m256d a);
__m256d Sleef_sqrtd4_u05avx(__m256d a);
__m256d Sleef_sqrtd4_u05avx2(__m256d a);
__m256d Sleef_sqrtd4_u05fma4(__m256d a);
__m256d Sleef_cinz_sqrtd4_u05avx(__m256d a);
__m256d Sleef_finz_sqrtd4_u05avx2(__m256d a);
__m256d Sleef_finz_sqrtd4_u05fma4(__m256d a);

__m512d Sleef_sqrtd8_u05(__m512d a);
__m512d Sleef_sqrtd8_u05avx512f(__m512d a);
__m512d Sleef_cinz_sqrtd8_u05avx512fnofma(__m512d a);
__m512d Sleef_finz_sqrtd8_u05avx512f(__m512d a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_sqrt_u05 with the same accuracy specification.

Vectorized single precision square root functions with 0.5001 ULP error bound

Synopsis

#include <sleef.h>

__m128 Sleef_sqrtf4_u05(__m128 a);
__m128 Sleef_sqrtf4_u05sse2(__m128 a);
__m128 Sleef_sqrtf4_u05sse4(__m128 a);
__m128 Sleef_sqrtf4_u05avx2128(__m128 a);
__m128 Sleef_cinz_sqrtf4_u05sse2(__m128 a);
__m128 Sleef_cinz_sqrtf4_u05sse4(__m128 a);
__m128 Sleef_finz_sqrtf4_u05avx2128(__m128 a);

__m256 Sleef_sqrtf8_u05(__m256 a);
__m256 Sleef_sqrtf8_u05avx(__m256 a);
__m256 Sleef_sqrtf8_u05avx2(__m256 a);
__m256 Sleef_sqrtf8_u05fma4(__m256 a);
__m256 Sleef_cinz_sqrtf8_u05avx(__m256 a);
__m256 Sleef_finz_sqrtf8_u05avx2(__m256 a);
__m256 Sleef_finz_sqrtf8_u05fma4(__m256 a);

__m512 Sleef_sqrtf16_u05(__m512 a);
__m512 Sleef_sqrtf16_u05avx512f(__m512 a);
__m512 Sleef_cinz_sqrtf16_u05avx512fnofma(__m512 a);
__m512 Sleef_finz_sqrtf16_u05avx512f(__m512 a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_sqrtf_u05 with the same accuracy specification.

Vectorized double precision square root functions with 3.5 ULP error bound

Synopsis

#include <sleef.h>

__m128d Sleef_sqrtd2_u35(__m128d a);
__m128d Sleef_sqrtd2_u35sse2(__m128d a);
__m128d Sleef_sqrtd2_u35sse4(__m128d a);
__m128d Sleef_sqrtd2_u35avx2128(__m128d a);
__m128d Sleef_cinz_sqrtd2_u35sse2(__m128d a);
__m128d Sleef_cinz_sqrtd2_u35sse4(__m128d a);
__m128d Sleef_finz_sqrtd2_u35avx2128(__m128d a);

__m256d Sleef_sqrtd4_u35(__m256d a);
__m256d Sleef_sqrtd4_u35avx(__m256d a);
__m256d Sleef_sqrtd4_u35avx2(__m256d a);
__m256d Sleef_sqrtd4_u35fma4(__m256d a);
__m256d Sleef_cinz_sqrtd4_u35avx(__m256d a);
__m256d Sleef_finz_sqrtd4_u35avx2(__m256d a);
__m256d Sleef_finz_sqrtd4_u35fma4(__m256d a);

__m512d Sleef_sqrtd8_u35(__m512d a);
__m512d Sleef_sqrtd8_u35avx512f(__m512d a);
__m512d Sleef_cinz_sqrtd8_u35avx512fnofma(__m512d a);
__m512d Sleef_finz_sqrtd8_u35avx512f(__m512d a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_sqrt_u35 with the same accuracy specification.

Vectorized single precision square root functions with 3.5 ULP error bound

Synopsis

#include <sleef.h>

__m128 Sleef_sqrtf4_u35(__m128 a);
__m128 Sleef_sqrtf4_u35sse2(__m128 a);
__m128 Sleef_sqrtf4_u35sse4(__m128 a);
__m128 Sleef_sqrtf4_u35avx2128(__m128 a);
__m128 Sleef_cinz_sqrtf4_u35sse2(__m128 a);
__m128 Sleef_cinz_sqrtf4_u35sse4(__m128 a);
__m128 Sleef_finz_sqrtf4_u35avx2128(__m128 a);

__m256 Sleef_sqrtf8_u35(__m256 a);
__m256 Sleef_sqrtf8_u35avx(__m256 a);
__m256 Sleef_sqrtf8_u35avx2(__m256 a);
__m256 Sleef_sqrtf8_u35fma4(__m256 a);
__m256 Sleef_cinz_sqrtf8_u35avx(__m256 a);
__m256 Sleef_finz_sqrtf8_u35avx2(__m256 a);
__m256 Sleef_finz_sqrtf8_u35fma4(__m256 a);

__m512 Sleef_sqrtf16_u35(__m512 a);
__m512 Sleef_sqrtf16_u35avx512f(__m512 a);
__m512 Sleef_cinz_sqrtf16_u35avx512fnofma(__m512 a);
__m512 Sleef_finz_sqrtf16_u35avx512f(__m512 a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_sqrtf_u35 with the same accuracy specification.

Vectorized double precision cubic root functions with 1.0 ULP error bound

Synopsis

#include <sleef.h>

__m128d Sleef_cbrtd2_u10(__m128d a);
__m128d Sleef_cbrtd2_u10sse2(__m128d a);
__m128d Sleef_cbrtd2_u10sse4(__m128d a);
__m128d Sleef_cbrtd2_u10avx2128(__m128d a);
__m128d Sleef_cinz_cbrtd2_u10sse2(__m128d a);
__m128d Sleef_cinz_cbrtd2_u10sse4(__m128d a);
__m128d Sleef_finz_cbrtd2_u10avx2128(__m128d a);

__m256d Sleef_cbrtd4_u10(__m256d a);
__m256d Sleef_cbrtd4_u10avx(__m256d a);
__m256d Sleef_cbrtd4_u10avx2(__m256d a);
__m256d Sleef_cbrtd4_u10fma4(__m256d a);
__m256d Sleef_cinz_cbrtd4_u10avx(__m256d a);
__m256d Sleef_finz_cbrtd4_u10avx2(__m256d a);
__m256d Sleef_finz_cbrtd4_u10fma4(__m256d a);

__m512d Sleef_cbrtd8_u10(__m512d a);
__m512d Sleef_cbrtd8_u10avx512f(__m512d a);
__m512d Sleef_cinz_cbrtd8_u10avx512fnofma(__m512d a);
__m512d Sleef_finz_cbrtd8_u10avx512f(__m512d a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_cbrt_u10 with the same accuracy specification.

Vectorized single precision cubic root functions with 1.0 ULP error bound

Synopsis

#include <sleef.h>

__m128 Sleef_cbrtf4_u10(__m128 a);
__m128 Sleef_cbrtf4_u10sse2(__m128 a);
__m128 Sleef_cbrtf4_u10sse4(__m128 a);
__m128 Sleef_cbrtf4_u10avx2128(__m128 a);
__m128 Sleef_cinz_cbrtf4_u10sse2(__m128 a);
__m128 Sleef_cinz_cbrtf4_u10sse4(__m128 a);
__m128 Sleef_finz_cbrtf4_u10avx2128(__m128 a);

__m256 Sleef_cbrtf8_u10(__m256 a);
__m256 Sleef_cbrtf8_u10avx(__m256 a);
__m256 Sleef_cbrtf8_u10avx2(__m256 a);
__m256 Sleef_cbrtf8_u10fma4(__m256 a);
__m256 Sleef_cinz_cbrtf8_u10avx(__m256 a);
__m256 Sleef_finz_cbrtf8_u10avx2(__m256 a);
__m256 Sleef_finz_cbrtf8_u10fma4(__m256 a);

__m512 Sleef_cbrtf16_u10(__m512 a);
__m512 Sleef_cbrtf16_u10avx512f(__m512 a);
__m512 Sleef_cinz_cbrtf16_u10avx512fnofma(__m512 a);
__m512 Sleef_finz_cbrtf16_u10avx512f(__m512 a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_cbrtf_u10 with the same accuracy specification.

Vectorized double precision cubic root functions with 3.5 ULP error bound

Synopsis

#include <sleef.h>

__m128d Sleef_cbrtd2_u35(__m128d a);
__m128d Sleef_cbrtd2_u35sse2(__m128d a);
__m128d Sleef_cbrtd2_u35sse4(__m128d a);
__m128d Sleef_cbrtd2_u35avx2128(__m128d a);
__m128d Sleef_cinz_cbrtd2_u35sse2(__m128d a);
__m128d Sleef_cinz_cbrtd2_u35sse4(__m128d a);
__m128d Sleef_finz_cbrtd2_u35avx2128(__m128d a);

__m256d Sleef_cbrtd4_u35(__m256d a);
__m256d Sleef_cbrtd4_u35avx(__m256d a);
__m256d Sleef_cbrtd4_u35avx2(__m256d a);
__m256d Sleef_cbrtd4_u35fma4(__m256d a);
__m256d Sleef_cinz_cbrtd4_u35avx(__m256d a);
__m256d Sleef_finz_cbrtd4_u35avx2(__m256d a);
__m256d Sleef_finz_cbrtd4_u35fma4(__m256d a);

__m512d Sleef_cbrtd8_u35(__m512d a);
__m512d Sleef_cbrtd8_u35avx512f(__m512d a);
__m512d Sleef_cinz_cbrtd8_u35avx512fnofma(__m512d a);
__m512d Sleef_finz_cbrtd8_u35avx512f(__m512d a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_cbrt_u35 with the same accuracy specification.

Vectorized single precision cubic root functions with 3.5 ULP error bound

Synopsis

#include <sleef.h>

__m128 Sleef_cbrtf4_u35(__m128 a);
__m128 Sleef_cbrtf4_u35sse2(__m128 a);
__m128 Sleef_cbrtf4_u35sse4(__m128 a);
__m128 Sleef_cbrtf4_u35avx2128(__m128 a);
__m128 Sleef_cinz_cbrtf4_u35sse2(__m128 a);
__m128 Sleef_cinz_cbrtf4_u35sse4(__m128 a);
__m128 Sleef_finz_cbrtf4_u35avx2128(__m128 a);

__m256 Sleef_cbrtf8_u35(__m256 a);
__m256 Sleef_cbrtf8_u35avx(__m256 a);
__m256 Sleef_cbrtf8_u35avx2(__m256 a);
__m256 Sleef_cbrtf8_u35fma4(__m256 a);
__m256 Sleef_cinz_cbrtf8_u35avx(__m256 a);
__m256 Sleef_finz_cbrtf8_u35avx2(__m256 a);
__m256 Sleef_finz_cbrtf8_u35fma4(__m256 a);

__m512 Sleef_cbrtf16_u35(__m512 a);
__m512 Sleef_cbrtf16_u35avx512f(__m512 a);
__m512 Sleef_cinz_cbrtf16_u35avx512fnofma(__m512 a);
__m512 Sleef_finz_cbrtf16_u35avx512f(__m512 a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_cbrtf_u35 with the same accuracy specification.

Vectorized double precision 2D Euclidian distance functions with 0.5 ULP error bound

Synopsis

#include <sleef.h>

__m128d Sleef_hypotd2_u05(__m128d a, __m128d b);
__m128d Sleef_hypotd2_u05sse2(__m128d a, __m128d b);
__m128d Sleef_hypotd2_u05sse4(__m128d a, __m128d b);
__m128d Sleef_hypotd2_u05avx2128(__m128d a, __m128d b);
__m128d Sleef_cinz_hypotd2_u05sse2(__m128d a, __m128d b);
__m128d Sleef_cinz_hypotd2_u05sse4(__m128d a, __m128d b);
__m128d Sleef_finz_hypotd2_u05avx2128(__m128d a, __m128d b);

__m256d Sleef_hypotd4_u05(__m256d a, __m256d b);
__m256d Sleef_hypotd4_u05avx(__m256d a, __m256d b);
__m256d Sleef_hypotd4_u05avx2(__m256d a, __m256d b);
__m256d Sleef_hypotd4_u05fma4(__m256d a, __m256d b);
__m256d Sleef_cinz_hypotd4_u05avx(__m256d a, __m256d b);
__m256d Sleef_finz_hypotd4_u05avx2(__m256d a, __m256d b);
__m256d Sleef_finz_hypotd4_u05fma4(__m256d a, __m256d b);

__m512d Sleef_hypotd8_u05(__m512d a, __m512d b);
__m512d Sleef_hypotd8_u05avx512f(__m512d a, __m512d b);
__m512d Sleef_cinz_hypotd8_u05avx512fnofma(__m512d a, __m512d b);
__m512d Sleef_finz_hypotd8_u05avx512f(__m512d a, __m512d b);
Link with -lsleef.

Description

These are the vectorized functions of Sleef_hypot_u05 with the same accuracy specification.

Vectorized single precision 2D Euclidian distance functions with 0.5 ULP error bound

Synopsis

#include <sleef.h>

__m128 Sleef_hypotf4_u05(__m128 a, __m128 b);
__m128 Sleef_hypotf4_u05sse2(__m128 a, __m128 b);
__m128 Sleef_hypotf4_u05sse4(__m128 a, __m128 b);
__m128 Sleef_hypotf4_u05avx2128(__m128 a, __m128 b);
__m128 Sleef_cinz_hypotf4_u05sse2(__m128 a, __m128 b);
__m128 Sleef_cinz_hypotf4_u05sse4(__m128 a, __m128 b);
__m128 Sleef_finz_hypotf4_u05avx2128(__m128 a, __m128 b);

__m256 Sleef_hypotf8_u05(__m256 a, __m256 b);
__m256 Sleef_hypotf8_u05avx(__m256 a, __m256 b);
__m256 Sleef_hypotf8_u05avx2(__m256 a, __m256 b);
__m256 Sleef_hypotf8_u05fma4(__m256 a, __m256 b);
__m256 Sleef_cinz_hypotf8_u05avx(__m256 a, __m256 b);
__m256 Sleef_finz_hypotf8_u05avx2(__m256 a, __m256 b);
__m256 Sleef_finz_hypotf8_u05fma4(__m256 a, __m256 b);

__m512 Sleef_hypotf16_u05(__m512 a, __m512 b);
__m512 Sleef_hypotf16_u05avx512f(__m512 a, __m512 b);
__m512 Sleef_cinz_hypotf16_u05avx512fnofma(__m512 a, __m512 b);
__m512 Sleef_finz_hypotf16_u05avx512f(__m512 a, __m512 b);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_hypotf_u05 with the same accuracy specification.

Vectorized double precision 2D Euclidian distance functions with 3.5 ULP error bound

Synopsis

#include <sleef.h>

__m128d Sleef_hypotd2_u35(__m128d a, __m128d b);
__m128d Sleef_hypotd2_u35sse2(__m128d a, __m128d b);
__m128d Sleef_hypotd2_u35sse4(__m128d a, __m128d b);
__m128d Sleef_hypotd2_u35avx2128(__m128d a, __m128d b);
__m128d Sleef_cinz_hypotd2_u35sse2(__m128d a, __m128d b);
__m128d Sleef_cinz_hypotd2_u35sse4(__m128d a, __m128d b);
__m128d Sleef_finz_hypotd2_u35avx2128(__m128d a, __m128d b);

__m256d Sleef_hypotd4_u35(__m256d a, __m256d b);
__m256d Sleef_hypotd4_u35avx(__m256d a, __m256d b);
__m256d Sleef_hypotd4_u35avx2(__m256d a, __m256d b);
__m256d Sleef_hypotd4_u35fma4(__m256d a, __m256d b);
__m256d Sleef_cinz_hypotd4_u35avx(__m256d a, __m256d b);
__m256d Sleef_finz_hypotd4_u35avx2(__m256d a, __m256d b);
__m256d Sleef_finz_hypotd4_u35fma4(__m256d a, __m256d b);

__m512d Sleef_hypotd8_u35(__m512d a, __m512d b);
__m512d Sleef_hypotd8_u35avx512f(__m512d a, __m512d b);
__m512d Sleef_cinz_hypotd8_u35avx512fnofma(__m512d a, __m512d b);
__m512d Sleef_finz_hypotd8_u35avx512f(__m512d a, __m512d b);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_hypot_u35 with the same accuracy specification.

Vectorized single precision 2D Euclidian distance functions with 3.5 ULP error bound

Synopsis

#include <sleef.h>

__m128 Sleef_hypotf4_u35(__m128 a, __m128 b);
__m128 Sleef_hypotf4_u35sse2(__m128 a, __m128 b);
__m128 Sleef_hypotf4_u35sse4(__m128 a, __m128 b);
__m128 Sleef_hypotf4_u35avx2128(__m128 a, __m128 b);
__m128 Sleef_cinz_hypotf4_u35sse2(__m128 a, __m128 b);
__m128 Sleef_cinz_hypotf4_u35sse4(__m128 a, __m128 b);
__m128 Sleef_finz_hypotf4_u35avx2128(__m128 a, __m128 b);

__m256 Sleef_hypotf8_u35(__m256 a, __m256 b);
__m256 Sleef_hypotf8_u35avx(__m256 a, __m256 b);
__m256 Sleef_hypotf8_u35avx2(__m256 a, __m256 b);
__m256 Sleef_hypotf8_u35fma4(__m256 a, __m256 b);
__m256 Sleef_cinz_hypotf8_u35avx(__m256 a, __m256 b);
__m256 Sleef_finz_hypotf8_u35avx2(__m256 a, __m256 b);
__m256 Sleef_finz_hypotf8_u35fma4(__m256 a, __m256 b);

__m512 Sleef_hypotf16_u35(__m512 a, __m512 b);
__m512 Sleef_hypotf16_u35avx512f(__m512 a, __m512 b);
__m512 Sleef_cinz_hypotf16_u35avx512fnofma(__m512 a, __m512 b);
__m512 Sleef_finz_hypotf16_u35avx512f(__m512 a, __m512 b);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_hypotf_u35 with the same accuracy specification.

Inverse Trigonometric Functions

Vectorized double precision arc sine functions with 1.0 ULP error bound

Synopsis

#include <sleef.h>

__m128d Sleef_asind2_u10(__m128d a);
__m128d Sleef_asind2_u10sse2(__m128d a);
__m128d Sleef_asind2_u10sse4(__m128d a);
__m128d Sleef_asind2_u10avx2128(__m128d a);
__m128d Sleef_cinz_asind2_u10sse2(__m128d a);
__m128d Sleef_cinz_asind2_u10sse4(__m128d a);
__m128d Sleef_finz_asind2_u10avx2128(__m128d a);

__m256d Sleef_asind4_u10(__m256d a);
__m256d Sleef_asind4_u10avx(__m256d a);
__m256d Sleef_asind4_u10avx2(__m256d a);
__m256d Sleef_asind4_u10fma4(__m256d a);
__m256d Sleef_cinz_asind4_u10avx(__m256d a);
__m256d Sleef_finz_asind4_u10avx2(__m256d a);
__m256d Sleef_finz_asind4_u10fma4(__m256d a);

__m512d Sleef_asind8_u10(__m512d a);
__m512d Sleef_asind8_u10avx512f(__m512d a);
__m512d Sleef_cinz_asind8_u10avx512fnofma(__m512d a);
__m512d Sleef_finz_asind8_u10avx512f(__m512d a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_asin_u10 with the same accuracy specification.

Vectorized single precision arc sine functions with 3.5 ULP error bound

Synopsis

#include <sleef.h>

__m128 Sleef_asinf4_u10(__m128 a);
__m128 Sleef_asinf4_u10sse2(__m128 a);
__m128 Sleef_asinf4_u10sse4(__m128 a);
__m128 Sleef_asinf4_u10avx2128(__m128 a);
__m128 Sleef_cinz_asinf4_u10sse2(__m128 a);
__m128 Sleef_cinz_asinf4_u10sse4(__m128 a);
__m128 Sleef_finz_asinf4_u10avx2128(__m128 a);

__m256 Sleef_asinf8_u10(__m256 a);
__m256 Sleef_asinf8_u10avx(__m256 a);
__m256 Sleef_asinf8_u10avx2(__m256 a);
__m256 Sleef_asinf8_u10fma4(__m256 a);
__m256 Sleef_cinz_asinf8_u10avx(__m256 a);
__m256 Sleef_finz_asinf8_u10avx2(__m256 a);
__m256 Sleef_finz_asinf8_u10fma4(__m256 a);

__m512 Sleef_asinf16_u10(__m512 a);
__m512 Sleef_asinf16_u10avx512f(__m512 a);
__m512 Sleef_cinz_asinf16_u10avx512fnofma(__m512 a);
__m512 Sleef_finz_asinf16_u10avx512f(__m512 a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_asinf_u10 with the same accuracy specification.

Vectorized double precision arc sine functions with 3.5 ULP error bound

Synopsis

#include <sleef.h>

__m128d Sleef_asind2_u35(__m128d a);
__m128d Sleef_asind2_u35sse2(__m128d a);
__m128d Sleef_asind2_u35sse4(__m128d a);
__m128d Sleef_asind2_u35avx2128(__m128d a);
__m128d Sleef_cinz_asind2_u35sse2(__m128d a);
__m128d Sleef_cinz_asind2_u35sse4(__m128d a);
__m128d Sleef_finz_asind2_u35avx2128(__m128d a);

__m256d Sleef_asind4_u35(__m256d a);
__m256d Sleef_asind4_u35avx(__m256d a);
__m256d Sleef_asind4_u35avx2(__m256d a);
__m256d Sleef_asind4_u35fma4(__m256d a);
__m256d Sleef_cinz_asind4_u35avx(__m256d a);
__m256d Sleef_finz_asind4_u35avx2(__m256d a);
__m256d Sleef_finz_asind4_u35fma4(__m256d a);

__m512d Sleef_asind8_u35(__m512d a);
__m512d Sleef_asind8_u35avx512f(__m512d a);
__m512d Sleef_cinz_asind8_u35avx512fnofma(__m512d a);
__m512d Sleef_finz_asind8_u35avx512f(__m512d a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_asin_u35 with the same accuracy specification.

Vectorized single precision arc sine functions with 3.5 ULP error bound

Synopsis

#include <sleef.h>

__m128 Sleef_asinf4_u35(__m128 a);
__m128 Sleef_asinf4_u35sse2(__m128 a);
__m128 Sleef_asinf4_u35sse4(__m128 a);
__m128 Sleef_asinf4_u35avx2128(__m128 a);
__m128 Sleef_cinz_asinf4_u35sse2(__m128 a);
__m128 Sleef_cinz_asinf4_u35sse4(__m128 a);
__m128 Sleef_finz_asinf4_u35avx2128(__m128 a);

__m256 Sleef_asinf8_u35(__m256 a);
__m256 Sleef_asinf8_u35avx(__m256 a);
__m256 Sleef_asinf8_u35avx2(__m256 a);
__m256 Sleef_asinf8_u35fma4(__m256 a);
__m256 Sleef_cinz_asinf8_u35avx(__m256 a);
__m256 Sleef_finz_asinf8_u35avx2(__m256 a);
__m256 Sleef_finz_asinf8_u35fma4(__m256 a);

__m512 Sleef_asinf16_u35(__m512 a);
__m512 Sleef_asinf16_u35avx512f(__m512 a);
__m512 Sleef_cinz_asinf16_u35avx512fnofma(__m512 a);
__m512 Sleef_finz_asinf16_u35avx512f(__m512 a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_asinf_u35 with the same accuracy specification.

Vectorized double precision arc cosine functions with 1.0 ULP error bound

Synopsis

#include <sleef.h>

__m128d Sleef_acosd2_u10(__m128d a);
__m128d Sleef_acosd2_u10sse2(__m128d a);
__m128d Sleef_acosd2_u10sse4(__m128d a);
__m128d Sleef_acosd2_u10avx2128(__m128d a);
__m128d Sleef_cinz_acosd2_u10sse2(__m128d a);
__m128d Sleef_cinz_acosd2_u10sse4(__m128d a);
__m128d Sleef_finz_acosd2_u10avx2128(__m128d a);

__m256d Sleef_acosd4_u10(__m256d a);
__m256d Sleef_acosd4_u10avx(__m256d a);
__m256d Sleef_acosd4_u10avx2(__m256d a);
__m256d Sleef_acosd4_u10fma4(__m256d a);
__m256d Sleef_cinz_acosd4_u10avx(__m256d a);
__m256d Sleef_finz_acosd4_u10avx2(__m256d a);
__m256d Sleef_finz_acosd4_u10fma4(__m256d a);

__m512d Sleef_acosd8_u10(__m512d a);
__m512d Sleef_acosd8_u10avx512f(__m512d a);
__m512d Sleef_cinz_acosd8_u10avx512fnofma(__m512d a);
__m512d Sleef_finz_acosd8_u10avx512f(__m512d a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_acos_u10 with the same accuracy specification.

Vectorized single precision arc cosine functions with 1.0 ULP error bound

Synopsis

#include <sleef.h>

__m128 Sleef_acosf4_u10(__m128 a);
__m128 Sleef_acosf4_u10sse2(__m128 a);
__m128 Sleef_acosf4_u10sse4(__m128 a);
__m128 Sleef_acosf4_u10avx2128(__m128 a);
__m128 Sleef_cinz_acosf4_u10sse2(__m128 a);
__m128 Sleef_cinz_acosf4_u10sse4(__m128 a);
__m128 Sleef_finz_acosf4_u10avx2128(__m128 a);

__m256 Sleef_acosf8_u10(__m256 a);
__m256 Sleef_acosf8_u10avx(__m256 a);
__m256 Sleef_acosf8_u10avx2(__m256 a);
__m256 Sleef_acosf8_u10fma4(__m256 a);
__m256 Sleef_cinz_acosf8_u10avx(__m256 a);
__m256 Sleef_finz_acosf8_u10avx2(__m256 a);
__m256 Sleef_finz_acosf8_u10fma4(__m256 a);

__m512 Sleef_acosf16_u10(__m512 a);
__m512 Sleef_acosf16_u10avx512f(__m512 a);
__m512 Sleef_cinz_acosf16_u10avx512fnofma(__m512 a);
__m512 Sleef_finz_acosf16_u10avx512f(__m512 a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_acosf_u10 with the same accuracy specification.

Vectorized double precision arc cosine functions with 3.5 ULP error bound

Synopsis

#include <sleef.h>

__m128d Sleef_acosd2_u35(__m128d a);
__m128d Sleef_acosd2_u35sse2(__m128d a);
__m128d Sleef_acosd2_u35sse4(__m128d a);
__m128d Sleef_acosd2_u35avx2128(__m128d a);
__m128d Sleef_cinz_acosd2_u35sse2(__m128d a);
__m128d Sleef_cinz_acosd2_u35sse4(__m128d a);
__m128d Sleef_finz_acosd2_u35avx2128(__m128d a);

__m256d Sleef_acosd4_u35(__m256d a);
__m256d Sleef_acosd4_u35avx(__m256d a);
__m256d Sleef_acosd4_u35avx2(__m256d a);
__m256d Sleef_acosd4_u35fma4(__m256d a);
__m256d Sleef_cinz_acosd4_u35avx(__m256d a);
__m256d Sleef_finz_acosd4_u35avx2(__m256d a);
__m256d Sleef_finz_acosd4_u35fma4(__m256d a);

__m512d Sleef_acosd8_u35(__m512d a);
__m512d Sleef_acosd8_u35avx512f(__m512d a);
__m512d Sleef_cinz_acosd8_u35avx512fnofma(__m512d a);
__m512d Sleef_finz_acosd8_u35avx512f(__m512d a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_acos_u35 with the same accuracy specification.

Vectorized single precision arc cosine functions with 3.5 ULP error bound

Synopsis

#include <sleef.h>

__m128 Sleef_acosf4_u35(__m128 a);
__m128 Sleef_acosf4_u35sse2(__m128 a);
__m128 Sleef_acosf4_u35sse4(__m128 a);
__m128 Sleef_acosf4_u35avx2128(__m128 a);
__m128 Sleef_cinz_acosf4_u35sse2(__m128 a);
__m128 Sleef_cinz_acosf4_u35sse4(__m128 a);
__m128 Sleef_finz_acosf4_u35avx2128(__m128 a);

__m256 Sleef_acosf8_u35(__m256 a);
__m256 Sleef_acosf8_u35avx(__m256 a);
__m256 Sleef_acosf8_u35avx2(__m256 a);
__m256 Sleef_acosf8_u35fma4(__m256 a);
__m256 Sleef_cinz_acosf8_u35avx(__m256 a);
__m256 Sleef_finz_acosf8_u35avx2(__m256 a);
__m256 Sleef_finz_acosf8_u35fma4(__m256 a);

__m512 Sleef_acosf16_u35(__m512 a);
__m512 Sleef_acosf16_u35avx512f(__m512 a);
__m512 Sleef_cinz_acosf16_u35avx512fnofma(__m512 a);
__m512 Sleef_finz_acosf16_u35avx512f(__m512 a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_acosf_u35 with the same accuracy specification.

Vectorized double precision arc tangent functions with 1.0 ULP error bound

Synopsis

#include <sleef.h>

__m128d Sleef_atand2_u10(__m128d a);
__m128d Sleef_atand2_u10sse2(__m128d a);
__m128d Sleef_atand2_u10sse4(__m128d a);
__m128d Sleef_atand2_u10avx2128(__m128d a);
__m128d Sleef_cinz_atand2_u10sse2(__m128d a);
__m128d Sleef_cinz_atand2_u10sse4(__m128d a);
__m128d Sleef_finz_atand2_u10avx2128(__m128d a);

__m256d Sleef_atand4_u10(__m256d a);
__m256d Sleef_atand4_u10avx(__m256d a);
__m256d Sleef_atand4_u10avx2(__m256d a);
__m256d Sleef_atand4_u10fma4(__m256d a);
__m256d Sleef_cinz_atand4_u10avx(__m256d a);
__m256d Sleef_finz_atand4_u10avx2(__m256d a);
__m256d Sleef_finz_atand4_u10fma4(__m256d a);

__m512d Sleef_atand8_u10(__m512d a);
__m512d Sleef_atand8_u10avx512f(__m512d a);
__m512d Sleef_cinz_atand8_u10avx512fnofma(__m512d a);
__m512d Sleef_finz_atand8_u10avx512f(__m512d a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_atan_u10 with the same accuracy specification.

Vectorized single precision arc tangent functions with 1.0 ULP error bound

Synopsis

#include <sleef.h>

__m128 Sleef_atanf4_u10(__m128 a);
__m128 Sleef_atanf4_u10sse2(__m128 a);
__m128 Sleef_atanf4_u10sse4(__m128 a);
__m128 Sleef_atanf4_u10avx2128(__m128 a);
__m128 Sleef_cinz_atanf4_u10sse2(__m128 a);
__m128 Sleef_cinz_atanf4_u10sse4(__m128 a);
__m128 Sleef_finz_atanf4_u10avx2128(__m128 a);

__m256 Sleef_atanf8_u10(__m256 a);
__m256 Sleef_atanf8_u10avx(__m256 a);
__m256 Sleef_atanf8_u10avx2(__m256 a);
__m256 Sleef_atanf8_u10fma4(__m256 a);
__m256 Sleef_cinz_atanf8_u10avx(__m256 a);
__m256 Sleef_finz_atanf8_u10avx2(__m256 a);
__m256 Sleef_finz_atanf8_u10fma4(__m256 a);

__m512 Sleef_atanf16_u10(__m512 a);
__m512 Sleef_atanf16_u10avx512f(__m512 a);
__m512 Sleef_cinz_atanf16_u10avx512fnofma(__m512 a);
__m512 Sleef_finz_atanf16_u10avx512f(__m512 a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_atanf_u10 with the same accuracy specification.

Vectorized double precision arc tangent functions with 3.5 ULP error bound

Synopsis

#include <sleef.h>

__m128d Sleef_atand2_u35(__m128d a);
__m128d Sleef_atand2_u35sse2(__m128d a);
__m128d Sleef_atand2_u35sse4(__m128d a);
__m128d Sleef_atand2_u35avx2128(__m128d a);
__m128d Sleef_cinz_atand2_u35sse2(__m128d a);
__m128d Sleef_cinz_atand2_u35sse4(__m128d a);
__m128d Sleef_finz_atand2_u35avx2128(__m128d a);

__m256d Sleef_atand4_u35(__m256d a);
__m256d Sleef_atand4_u35avx(__m256d a);
__m256d Sleef_atand4_u35avx2(__m256d a);
__m256d Sleef_atand4_u35fma4(__m256d a);
__m256d Sleef_cinz_atand4_u35avx(__m256d a);
__m256d Sleef_finz_atand4_u35avx2(__m256d a);
__m256d Sleef_finz_atand4_u35fma4(__m256d a);

__m512d Sleef_atand8_u35(__m512d a);
__m512d Sleef_atand8_u35avx512f(__m512d a);
__m512d Sleef_cinz_atand8_u35avx512fnofma(__m512d a);
__m512d Sleef_finz_atand8_u35avx512f(__m512d a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_atan_u35 with the same accuracy specification.

Vectorized single precision arc tangent functions with 3.5 ULP error bound

Synopsis

#include <sleef.h>

__m128 Sleef_atanf4_u35(__m128 a);
__m128 Sleef_atanf4_u35sse2(__m128 a);
__m128 Sleef_atanf4_u35sse4(__m128 a);
__m128 Sleef_atanf4_u35avx2128(__m128 a);
__m128 Sleef_cinz_atanf4_u35sse2(__m128 a);
__m128 Sleef_cinz_atanf4_u35sse4(__m128 a);
__m128 Sleef_finz_atanf4_u35avx2128(__m128 a);

__m256 Sleef_atanf8_u35(__m256 a);
__m256 Sleef_atanf8_u35avx(__m256 a);
__m256 Sleef_atanf8_u35avx2(__m256 a);
__m256 Sleef_atanf8_u35fma4(__m256 a);
__m256 Sleef_cinz_atanf8_u35avx(__m256 a);
__m256 Sleef_finz_atanf8_u35avx2(__m256 a);
__m256 Sleef_finz_atanf8_u35fma4(__m256 a);

__m512 Sleef_atanf16_u35(__m512 a);
__m512 Sleef_atanf16_u35avx512f(__m512 a);
__m512 Sleef_cinz_atanf16_u35avx512fnofma(__m512 a);
__m512 Sleef_finz_atanf16_u35avx512f(__m512 a);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_atanf_u35 with the same accuracy specification.

Vectorized double precision arc tangent functions of two variables with 1.0 ULP error bound

Synopsis

#include <sleef.h>

__m128d Sleef_atan2d2_u10(__m128d a, __m128d b);
__m128d Sleef_atan2d2_u10sse2(__m128d a, __m128d b);
__m128d Sleef_atan2d2_u10sse4(__m128d a, __m128d b);
__m128d Sleef_atan2d2_u10avx2128(__m128d a, __m128d b);
__m128d Sleef_cinz_atan2d2_u10sse2(__m128d a, __m128d b);
__m128d Sleef_cinz_atan2d2_u10sse4(__m128d a, __m128d b);
__m128d Sleef_finz_atan2d2_u10avx2128(__m128d a, __m128d b);

__m256d Sleef_atan2d4_u10(__m256d a, __m256d b);
__m256d Sleef_atan2d4_u10avx(__m256d a, __m256d b);
__m256d Sleef_atan2d4_u10avx2(__m256d a, __m256d b);
__m256d Sleef_atan2d4_u10fma4(__m256d a, __m256d b);
__m256d Sleef_cinz_atan2d4_u10avx(__m256d a, __m256d b);
__m256d Sleef_finz_atan2d4_u10avx2(__m256d a, __m256d b);
__m256d Sleef_finz_atan2d4_u10fma4(__m256d a, __m256d b);

__m512d Sleef_atan2d8_u10(__m512d a, __m512d b);
__m512d Sleef_atan2d8_u10avx512f(__m512d a, __m512d b);
__m512d Sleef_cinz_atan2d8_u10avx512fnofma(__m512d a, __m512d b);
__m512d Sleef_finz_atan2d8_u10avx512f(__m512d a, __m512d b);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_atan2_u10 with the same accuracy specification.

Vectorized single precision arc tangent functions of two variables with 1.0 ULP error bound

Synopsis

#include <sleef.h>

__m128 Sleef_atan2f4_u10(__m128 a, __m128 b);
__m128 Sleef_atan2f4_u10sse2(__m128 a, __m128 b);
__m128 Sleef_atan2f4_u10sse4(__m128 a, __m128 b);
__m128 Sleef_atan2f4_u10avx2128(__m128 a, __m128 b);
__m128 Sleef_cinz_atan2f4_u10sse2(__m128 a, __m128 b);
__m128 Sleef_cinz_atan2f4_u10sse4(__m128 a, __m128 b);
__m128 Sleef_finz_atan2f4_u10avx2128(__m128 a, __m128 b);

__m256 Sleef_atan2f8_u10(__m256 a, __m256 b);
__m256 Sleef_atan2f8_u10avx(__m256 a, __m256 b);
__m256 Sleef_atan2f8_u10avx2(__m256 a, __m256 b);
__m256 Sleef_atan2f8_u10fma4(__m256 a, __m256 b);
__m256 Sleef_cinz_atan2f8_u10avx(__m256 a, __m256 b);
__m256 Sleef_finz_atan2f8_u10avx2(__m256 a, __m256 b);
__m256 Sleef_finz_atan2f8_u10fma4(__m256 a, __m256 b);

__m512 Sleef_atan2f16_u10(__m512 a, __m512 b);
__m512 Sleef_atan2f16_u10avx512f(__m512 a, __m512 b);
__m512 Sleef_cinz_atan2f16_u10avx512fnofma(__m512 a, __m512 b);
__m512 Sleef_finz_atan2f16_u10avx512f(__m512 a, __m512 b);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_atan2f_u10 with the same accuracy specification.

Vectorized double precision arc tangent functions of two variables with 3.5 ULP error bound

Synopsis

#include <sleef.h>

__m128d Sleef_atan2d2_u35(__m128d a, __m128d b);
__m128d Sleef_atan2d2_u35sse2(__m128d a, __m128d b);
__m128d Sleef_atan2d2_u35sse4(__m128d a, __m128d b);
__m128d Sleef_atan2d2_u35avx2128(__m128d a, __m128d b);
__m128d Sleef_cinz_atan2d2_u35sse2(__m128d a, __m128d b);
__m128d Sleef_cinz_atan2d2_u35sse4(__m128d a, __m128d b);
__m128d Sleef_finz_atan2d2_u35avx2128(__m128d a, __m128d b);

__m256d Sleef_atan2d4_u35(__m256d a, __m256d b);
__m256d Sleef_atan2d4_u35avx(__m256d a, __m256d b);
__m256d Sleef_atan2d4_u35avx2(__m256d a, __m256d b);
__m256d Sleef_atan2d4_u35fma4(__m256d a, __m256d b);
__m256d Sleef_cinz_atan2d4_u35avx(__m256d a, __m256d b);
__m256d Sleef_finz_atan2d4_u35avx2(__m256d a, __m256d b);
__m256d Sleef_finz_atan2d4_u35fma4(__m256d a, __m256d b);

__m512d Sleef_atan2d8_u35(__m512d a, __m512d b);
__m512d Sleef_atan2d8_u35avx512f(__m512d a, __m512d b);
__m512d Sleef_cinz_atan2d8_u35avx512fnofma(__m512d a, __m512d b);
__m512d Sleef_finz_atan2d8_u35avx512f(__m512d a, __m512d b);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_atan2_u35 with the same accuracy specification.

Vectorized single precision arc tangent functions of two variables with 3.5 ULP error bound

Synopsis

#include <sleef.h>

__m128 Sleef_atan2f4_u35(__m128 a, __m128 b);
__m128 Sleef_atan2f4_u35sse2(__m128 a, __m128 b);
__m128 Sleef_atan2f4_u35sse4(__m128 a, __m128 b);
__m128 Sleef_atan2f4_u35avx2128(__m128 a, __m128 b);
__m128 Sleef_cinz_atan2f4_u35sse2(__m128 a, __m128 b);
__m128 Sleef_cinz_atan2f4_u35sse4(__m128 a, __m128 b);
__m128 Sleef_finz_atan2f4_u35avx2128(__m128 a, __m128 b);

__m256 Sleef_atan2f8_u35(__m256 a, __m256 b);
__m256 Sleef_atan2f8_u35avx(__m256 a, __m256 b);
__m256 Sleef_atan2f8_u35avx2(__m256 a, __m256 b);
__m256 Sleef_atan2f8_u35fma4(__m256 a, __m256 b);
__m256 Sleef_cinz_atan2f8_u35avx(__m256 a, __m256 b);
__m256 Sleef_finz_atan2f8_u35avx2(__m256 a, __m256 b);
__m256 Sleef_finz_atan2f8_u35fma4(__m256 a, __m256 b);

__m512 Sleef_atan2f16_u35(__m512 a, __m512 b);
__m512 Sleef_atan2f16_u35avx512f(__m512 a, __m512 b);
__m512 Sleef_cinz_atan2f16_u35avx512fnofma(__m512 a, __m512 b);
__m512 Sleef_finz_atan2f16_u35avx512f(__m512 a, __m512 b);

Link with -lsleef.

Description

These are the vectorized functions of Sleef_atan2f_u35 with the same accuracy specification.

Hyperbolic functions and inverse hyperbolic functions

Vectorized double precision hyperbolic sine functions

Synopsis

#include <sleef.h>

__m128d Sleef_sinhd2_u10(__m128d a);
__m128d Sleef_sinhd2_u10sse2(__m128d a);
__m128d Sleef_sinhd2_u10sse4(__m128d a);
__m128d Sleef_sinhd2_u10avx2128(__m128d a);
__m128d Sleef_cinz_sinhd2_u10sse2(__m128d a);
__m128d Sleef_cinz_sinhd2_u10sse4(__m128d a);
__m128d Sleef_finz_sinhd2_u10avx2128(__m128d a);

__m256d Sleef_sinhd4_u10(__m256d a);
__m256d Sleef_sinhd4_u10avx(__m256d a);
__m256d Sleef_sinhd4_u10avx2(__m256d a);
__m256d Sleef_sinhd4_u10fma4(__m256d a);
__m256d Sleef_cinz_sinhd4_u10avx(__m256d a);
__m256d Sleef_finz_sinhd4_u10avx2(__m256d a);
__m256d Sleef_finz_sinhd4_u10fma4(__m256d a);

__m512d Sleef_sinhd8_u10(__m512d a);
__m512d Sleef_sinhd8_u10avx512f(__m512d a);
__m512d Sleef_cinz_sinhd8_u10avx512fnofma(__m512d a);
__m512d Sleef_finz_sinhd8_u10avx512f(__m512d a);

Link with -lsleef.