Contents
1 About this Guide
1.1 Legal Information
1.2 Feedback and Contact
1.3 Introduction
1.4 Audience for This Guide
1.5 How to Use This Guide
1.6 Conventions Used in This Guide
2 Overview
2.1 Introduction
2.2 Thread Safety
2.3 SIMD/SPMD Unit Usage
2.4 Performance Characteristics
2.5 Extended Vector Sizes (_64 suffix functions)
3 Standard Real Trigonometric Functions
3.1 vatsin - Vector sine
3.2 vatcos - Vector cosine
3.3 vattan - Vector tangent
3.4 vatcsc - Vector cosecant
3.5 vatsec - Vector secant
3.6 vatcot - Vector cotangent
3.7 vatasin - Vector arcsine
3.8 vatacos - Vector arccosine
3.9 vatatan - Vector arctangent
3.10 vatacsc - Vector arccosecant
3.11 vatasec - Vector arcsecant
3.12 vatacot - Vector arccotangent
4 Standard Real Trigonometric Functions (Half-Cycle)
4.1 vatsinpi - Vector half-cycle sine
4.2 vatcospi - Vector half-cycle cosine
4.3 vattanpi - Vector half-cycle tangent
4.4 vatcscpi - Vector half-cycle cosecant
4.5 vatsecpi - Vector half-cycle secant
4.6 vatcotpi - Vector half-cycle cotangent
4.7 vatasinpi - Vector half-cycle arcsine
4.8 vatacospi - Vector half-cycle arccosine
4.9 vatatanpi - Vector half-cycle arctangent
4.10 vatacscpi - Vector half-cycle arccosecant
4.11 vatasecpi - Vector half-cycle arcsecant
4.12 vatacotpi - Vector half-cycle arccotangent
5 Standard Real Trigonometric Functions (Degrees)
5.1 vatsind - Vector sine
5.2 vatcosd - Vector cosine
5.3 vattand - Vector tangent
5.4 vatcscd - Vector cosecant
5.5 vatsecd - Vector secant
5.6 vatcotd - Vector cotangent
5.7 vatasind - Vector arcsine
5.8 vatacosd - Vector arccosine
5.9 vatatand - Vector arctangent
5.10 vatacscd - Vector arccosecant
5.11 vatasecd - Vector arcsecant
5.12 vatacotd - Vector arccotangent
6 Standard Real Hyperbolic Trigonometric Functions
6.1 vatsinh - Vector hyperbolic sine
6.2 vatcosh - Vector hyperbolic cosine
6.3 vattanh - Vector hyperbolic tangent
6.4 vatcsch - Vector hyperbolic cosecant
6.5 vatsech - Vector hyperbolic secant
6.6 vatcoth - Vector hyperbolic cotangent
6.7 vatasinh - Vector hyperbolic arcsine
6.8 vatacosh - Vector hyperbolic arccosine
6.9 vatatanh - Vector hyperbolic arctangent
6.10 vatacsch - Vector hyperbolic arccosecant
6.11 vatasech - Vector hyperbolic arcsecant
6.12 vatacoth - Vector hyperbolic arccotangent
7 Versine Functions
7.1 vatver - Vector versine
7.2 vatvcs - Vector vercosine
7.3 vatcvs - Vector coversine
7.4 vatcvc - Vector covercosine
7.5 vathav - Vector haversine
7.6 vathac - Vector havercosine
7.7 vathcv - Vector hacoversine
7.8 vathcc - Vector hacoversine
7.9 vataver - Vector arcversine
7.10 vatavcs - Vector arcvercosine
7.11 vatacvs - Vector arccoversine
7.12 vatacvc - Vector arccovercosine
7.13 vatahav - Vector archaversine
7.14 vatahac - Vector archavercosine
7.15 vatahcv - Vector archacoversine
7.16 vatahcc - Vector archacovercosine
8 Versine Functions (Half-Cycle)
8.1 vatverpi - Vector half-cycle versine
8.2 vatvcspi - Vector half-cycle vercosine
8.3 vatcvspi - Vector half-cycle coversine
8.4 vatcvcpi - Vector half-cycle covercosine
8.5 vathavpi - Vector half-cycle haversine
8.6 vathacpi - Vector half-cycle havercosine
8.7 vathcvpi - Vector half-cycle hacoversine
8.8 vathccpi - Vector half-cycle hacovercosine
8.9 vataverpi - Vector half-cycle arcversine
8.10 vatavcspi - Vector half-cycle arcvercosine
8.11 vatacvspi - Vector hald-cycle arccoversine
8.12 vatacvcpi - Vector half-cycle arccovercosine
8.13 vatahavpi - Vector half-cycle archaversine
8.14 vatahacpi - Vector half-cycle archacovercosine
8.15 vatahcvpi - Vector half-cycle archacoversine
8.16 vatahccpi - Vector half-cycle archacovercosine
9 Versine Functions (Degrees)
9.1 vatverd - Vector versine
9.2 vatvcsd - Vector vercosine
9.3 vatcvsd - Vector coversine
9.4 vatcvcd - Vector covercosine
9.5 vathavd - Vector haversine
9.6 vathacd - Vector havercosine
9.7 vathcvd - Vector hacoversine
9.8 vathccd - Vector hacovercosine
9.9 vataverd - Vector arcversine
9.10 vatavcsd - Vector arcvercosine
9.11 vatacvsd - Vector arccoversine
9.12 vatacvcd - Vector arcovercosine
9.13 vatahavd - Vector archaversine
9.14 vatahacd - Vector archavercosine
9.15 vatahcvd - Vector archacoversine
9.16 vatahccd - Vector archacovercosine
10 Cardinal Trigonometric Functions
10.1 vatsinc - Vector cardinal sine
10.2 vatcosc - Vector cardinal cosine
10.3 vattanc - Vector cardinal tangent
11 Cardinal Normalized Trigonometric Functions
11.1 vatsincpi - Vector cardinal sine
11.2 vatcoscpi - Vector cardinal cosine
11.3 vattancpi - Vector cardinal tangent
12 Cardinal Hyperbolic Trigonometric Functions
12.1 vatsinhc - Vector cardinal hyperbolic sine
12.2 vatcoshc - Vector cardinal hyperbolic cosine
12.3 vattanhc - Vector cardinal hyperbolic tangent
13 Hyperbolic Trigonometric Functions Minus X
13.1 vatsinhmx - Vector hyperbolic sine minus x
13.2 vatcoshmx - Vector hyperbolic cosine minus x
13.3 vattanhmx - Vector hyperbolic tangent minus x
14 Exsecant and Excosecant
14.1 vatexs - Vector exsecant
14.2 vatexc - Vector excosecant
14.3 vataexs - Vector arcexsecant
14.4 vataexc - Vector arcexcosecant
15 Exsecant and Excosecant (Half-Cycle)
15.1 vatexspi - Vector half-cycle exsecant
15.2 vatexcpi - Vector half-cycle excosecant
15.3 vataexspi - Vector half-cycle arcexsecant
15.4 vataexcpi - Vector half-cycle arcexcosecant
16 Exsecant and Excosecant (Degree)
16.1 vatexsd - Vector exsecant
16.2 vatexcd - Vector excosecant
16.3 vataexsd - Vector arcexsecant
16.4 vataexcd - Vector arcexcosecant
17 Chord
17.1 vatcrd - Vector chord
17.2 vatacrd - Vector arcchord
18 Gudermannian
18.1 vatgd - Vector Gudermannian function
18.2 vatagd - Vector inverse Gudremannian function
19 Standard Complex Trigonometric Functions
19.1 vatcsin - Vector complex sine
19.2 vatccos - Vector complex cosine
19.3 vatctan - Vector complex tangent
19.4 vatccsc - Vector complex cosecant
19.5 vatcsec - Vector complex secant
19.6 vatccot - Vector complex cotangent
19.7 vatcasin - Vector complex arcsine
19.8 vatcacos - Vector complex arccosine
19.9 vatcatan - Vector complex arctangent
19.10 vatcacsc - Vector complex arccosecant
19.11 vatcasec - Vector complex arcsecant
19.12 vatcacot - Vector complex arccotangent
20 Standard Complex Hyperbolic Trigonometric Functions
20.1 vatcsinh - Vector complex hyperbolic sine
20.2 vatccosh - Vector complex hyperbolic cosine
20.3 vatctanh - Vector complex hyperbolic tangent
20.4 vatccsch - Vector complex hyperbolic cosecant
20.5 vatcsech - Vector complex hyperbolic secant
20.6 vatccoth - Vector complex hyperbolic cotangent
20.7 vatcasinh - Vector complex hyperbolic arcsine
20.8 vatcacosh - Vector complex hyperbolic arccosine
20.9 vatcatanh - Vector complex hyperbolic arctangent
20.10 vatcacsch - Vector complex hyperbolic arccosecant
20.11 vatcasech - Vector complex hyperbolic arcsecant
20.12 vatcacoth - Vector complex hyperbolic arccotangent
21 Complex Versine Functions
21.1 vatcver - Vector complex versine
21.2 vatcvcs - Vector complex vercosine
21.3 vatccvs - Vector complex coversine
21.4 vatccvc - Vector complex covercosine
21.5 vatchav - Vector complex haversine
21.6 vatchac - Vector complex havercosine
21.7 vatchcv - Vector complex hacoversine
21.8 vatchcc - Vector complex hacovercosine
21.9 vatcaver - Vector complex arcversine
21.10 vatcavcs - Vector complex arcvercosine
21.11 vatcacvs - Vector complex arccoversine
21.12 vatcacvc - Vector complex arccovercosine
21.13 vatcahav - Vector complex archaversine
21.14 vatcahac - Vector complex archavercosine
21.15 vatcahcv - Vector complex archacoversine
21.16 vatcahcc - Vector complex archacovercosine
22 Complex Cardinal Trigonometric Functions
22.1 vatcsinc - Vector complex cardinal sine
22.2 vatccosc - Vector complex caridnal cosine
22.3 vatctanc - Vector complex cardinal tangent
23 Complex Cardinal Hyperbolic Trigonometric Functions
23.1 vatcsinhc - Vector complex cardinal hyperbolic sine
23.2 vatccoshc - Vector complex caridnal hyperbolic cosine
23.3 vatctanhc - Vector complex cardinal hyperbolic tangent
24 Complex Hyperbolic Trigonometric Minus X Functions
24.1 vatcsinhmx - Vector complex hyperbolic sine minus x
24.2 vatccoshmx - Vector complex hyperbolic cosine minus x
24.3 vatctanhmx - Vector complex hyperbolic tangent minus x
25 Complex Gudermannian
25.1 vatcgd - Vector complex Gudermannian
25.2 vatcagd - Vector complex inverse Gudermannian
26 Acknowledgements