KERML11 — Functions missing (for SysPhSv2)

KerML's missing some functions needed by SysPhSv2 to support equations written in the KerML/SysML expression language. They're taken from Modelica's operators, but the names in KerML could be different, of course.

Numeric:

• sign Result is one of {-1, 0, 1}

• mod Modulo, including for reals, see below comparing to remainder

• div Division rounded to next lower or equal integer, eg, div(13,6) = 2, see below comparing to related functions.

• ceil Real rounded to next greatest or equal integer. Could include floor, for completeness.

Trigonometry: tanh, atan2, sinh, cosh. Could be more, of course

Logarithms: log, log10 Base e and 10.

Derivative: der Differs from the others in requiring simulation to evaluate.

Might need Modelica rem, if KerML's % operator (remainder) is not the same, eg,

  rem(3,1.4)  = 0.2

  rem(-3,1.4) = -0.2

  rem(3,-1.4) = 0.2

compared to Modelica mod, eg

  mod(3,1.4)  = 0.2

  mod(-3,1.4) = 1.2

  mod(3,-1.4) = -1.2

Assuming div defined as above (not mathematical division)

  div(x,y) * y + rem(x, y) = x