Math Scalar Library Reference Manual (Fortran) DD-00003-110

Math Scalar Library
Programming Reference Manual Fortran
Version 1.0 DD-00003-110

Math Scalar Library
Reference Manual (Fortran)
DD-00003-110

Jan Adelsbach

January 26, 2024

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 Function Naming Scheme
2.3 Thread Safety
2.4 FPU Signaling
3 Utility
3.1 mscaver - Version query
4 Rounding
4.1 sfloor - Round down to nearest integral part
4.2 sceil - Round up to nearest integral part
4.3 strunc - Truncate to nearest integral part
4.4 sround - Round to nearest integral part
5 Roots
5.1 ssqrt - Square root $⎷- x$
5.2 srsqrt - Inverse square root $⎷- 1/ x$
5.3 scbrt - Cube root $⎷3- x$
5.4 srcbrt - Inverse cube root $3⎷- 1/ x$
6 Trigonometric Functions
6.1 ssin - Sine $sin(x)$
6.2 scos - Cosine $cos(x)$
6.3 stan - Tangent $tan(x)$
6.4 sasin - Arcsine $-1 sin (x)$
6.5 sacos - Arccosine $-1 cos (x)$
6.6 satan - Arctangent $-1 tan (x)$
7 Hypergeometric Functions
7.1 ssinh - Hypergeometric sine $sinh(x)$
7.2 scosh - Hypergeometric cosine $cosh(x)$
7.3 stanh - Hypergeometric tangent $tanh(x)$
7.4 sasinh - Hypergeometric arcsine $-1 sinh (x)$
7.5 sacosh - Hypergeometric arccosine $-1 cosh (x)$
7.6 satanh - Hypergeometric arctangent $-1 tanh (x)$
8 Expoentials and Logarithms
8.1 sexp - Exponentiation $x e$
8.2 sexpm1 - Exponentiation $x e -1$
8.3 sexp2 - Binary exponentiation $x 2$
8.4 slog - Natural logarithm $log(x)$
8.5 slog2 - Base-2 logarithm $log2(x)$
8.6 slog10 - Base-10 logarithm $log10(x)$
8.7 slog1p - Natural logarithm plus one $log(x+1)$
8.8 spow - Raise $y x$
8.9 sfmod - Remainder $mod(x,y)$
9 Special Functions
9.1 serf - Error function $erf(x)$
9.2 serfc - Complementary error function $erfc(x)$
9.3 sj0 - Bessel function $J0(x)$
9.4 sy0 - Bessel function $Y0(x)$
9.5 sj1 - Bessel function $J1(x)$
9.6 sy1 - Bessel function $Y1(x)$
9.7 sjn - Bessel function $Jn(x)$
9.8 syn - Bessel function $Yn(x)$
9.9 slgamma - Log-Gamma function $logΓ (x)$
10 Other Functions
10.1 sfabs - Absolute value $|x|$
10.2 scopysign - Copy sign
10.3 shypot - Euclidean distance $√︁-2---2 x + y$
10.4 sremainder - Remainder
11 Complex Numbers
11.1 screal - Complex real component $Re(x)$
11.2 scimag - Complex imaginary component $Im(x)$
11.3 scabs - Complex absolute value $|x|$
11.4 scarg - Complex argument $arg(x)$
11.5 sconj - Complex conjugate $- x$
11.6 scproj - Complex Riemann sphere projection $proj(x)$
11.7 scexp - Complex exponentiation $exp(x)$
11.8 sclog - Complex logarithm $log(x)$
11.9 scsin - Complex sine $sin(x)$
11.10 sccos - Complex cosine $cos(x)$
11.11 sctan - Complex tangent $tan(x)$
11.12 scasin - Complex arcsine $-1 sin (x)$
11.13 scacos - Complex arccosine $-1 cos (x)$
11.14 scatan - Complex arctangent $-1 tan (x)$
11.15 scsinh - Complex hyperbolic sine $sinh(x)$
11.16 sccosh - Complex hyperbolic cosine $cosh(x)$
11.17 sctanh - Complex hyperbolic tangent $tanh(x)$
11.18 scasinh - Complex hyperbolic arcsine $-1 sinh (x)$
11.19 scacosh - Complex hyperbolic arccosine $-1 cosh (x)$
11.20 scatanh - Complex hyperbolic arctangent $-1 tanh (x)$
11.21 scsqrt - Complex square root $⎷- x$
11.22 scpow - Complex power $y x$
12 Acknowledgements