(* Library module defined by the International Standard
   Information technology - programming languages
   BS ISO/IEC 10514-1:1996E Part 1: Modula-2, Base Language.

   Copyright ISO/IEC (International Organization for Standardization
   and International Electrotechnical Commission) 1996-2021.

   It may be freely copied for the purpose of implementation (see page
   707 of the Information technology - Programming languages Part 1:
   Modula-2, Base Language.  BS ISO/IEC 10514-1:1996).  *)

DEFINITION MODULE RealMath;

  (* Mathematical functions for the type REAL *)

CONST
  pi   = 3.1415926535897932384626433832795028841972;
  exp1 = 2.7182818284590452353602874713526624977572;

PROCEDURE __BUILTIN__ sqrt (x: REAL): REAL;
  (* Returns the positive square root of x *)

PROCEDURE __BUILTIN__ exp (x: REAL): REAL;
  (* Returns the exponential of x *)

PROCEDURE __BUILTIN__ ln (x: REAL): REAL;
  (* Returns the natural logarithm of x *)

  (* The angle in all trigonometric functions is measured in radians *)

PROCEDURE __BUILTIN__ sin (x: REAL): REAL;
  (* Returns the sine of x *)

PROCEDURE __BUILTIN__ cos (x: REAL): REAL;
  (* Returns the cosine of x *)

PROCEDURE tan (x: REAL): REAL;
  (* Returns the tangent of x *)

PROCEDURE arcsin (x: REAL): REAL;
  (* Returns the arcsine of x *)

PROCEDURE arccos (x: REAL): REAL;
  (* Returns the arccosine of x *)

PROCEDURE arctan (x: REAL): REAL;
  (* Returns the arctangent of x *)

PROCEDURE power (base, exponent: REAL) : REAL;
  (* Returns the value of the number base raised to the power exponent *)

PROCEDURE round (x: REAL) : INTEGER;
  (* Returns the value of x rounded to the nearest integer *)

PROCEDURE IsRMathException () : BOOLEAN;
  (* Returns TRUE if the current coroutine is in the exceptional execution state
     because of the raising of an exception in a routine from this module; otherwise
     returns FALSE.
  *)

END RealMath.

