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— ob:visual:math:en [2022/10/02 20:37] (текущий)
iadenisov создано
Строка 1: Строка 1:
 +Module Math is a basic library for numerical computations.
 +It offers the most frequently used functions and constants.
  
 +PROCEDURE Pi (): REAL
 +
 +Returns an approximation of the value of pi.
 +
 +PROCEDURE Radians(angle : REAL): REAL;
 +
 +Returns the value of the 'angle' in radians.
 +
 +PROCEDURE Random (): REAL;
 +
 +Returns random number from 0.0 to 1.0.
 +
 +
 +*** Powers and logarithms ***
 +
 +PROCEDURE Sqrt (x: REAL): REAL
 +
 +Returns the square root of x.
 +Precondition:
 +x >= 0.0
 +
 +PROCEDURE Exp (x: REAL): REAL
 +
 +Returns e^x.
 +
 +PROCEDURE Ln (x: REAL): REAL
 +
 +Returns the natural logarithm of x.
 +Precondition:
 +x >= 0.0
 +
 +PROCEDURE Log (x: REAL): REAL
 +
 +Returns the logarithm to the basis 10 of x.
 +Precondition:
 +x >= 0.0
 +
 +PROCEDURE Power (x, y: REAL): REAL
 +
 +Returns x^y.
 +Precondition:
 +x >= 0.0
 +
 +PROCEDURE IntPower (x: REAL; n: INTEGER): REAL
 +
 +Returns x^n.
 +IntPower(0, 0) gives 1.
 +
 +
 +*** Trigonometric and hyperbolic functions ***
 +
 +The arguments for all trigonometric and hyperbolic functions 
 +must be given in radians, and the inverse trigonometric 
 +and hyperbolic functions are calculated in radians (1 radian = 180/pi degrees).
 +
 +PROCEDURE Sin (x: REAL): REAL
 +
 +Returns the sine of x.
 +Postcondition:
 +-1.0 <= result <= 1.0
 +
 +PROCEDURE Cos (x: REAL): REAL
 +
 +Returns the cosine of x.
 +Postcondition:
 +-1.0 <= result <= 1.0
 +
 +PROCEDURE Tan (x: REAL): REAL
 +
 +Returns the tangent of x. 
 +
 +PROCEDURE ArcSin (x: REAL): REAL
 +
 +Returns the arcus sine of x.
 +Precondition:
 +-1.0 <= x <= 1.0
 +Postcondition:
 +-pi/2.0 <= result <= pi/2.0
 +
 +PROCEDURE ArcCos (x: REAL): REAL
 +
 +Returns the arcus cosine of x.
 +Precondition:
 +-1.0 <= x <= 1.0
 +Postcondition:
 +0.0 <= result <= pi
 +
 +PROCEDURE ArcTan (x: REAL): REAL
 +
 +Returns the arcus tangent of x.
 +Postcondition:
 +-pi/2.0 <= result <= pi/2.0
 +
 +PROCEDURE ArcTan2 (y, x: REAL): REAL
 +
 +Returns the argument (angle) of the complex number x + iy
 +measured anti-clockwise from the positive real axis.
 +Postcondition:
 +-pi < result <= pi
 +
 +PROCEDURE Sinh (x: REAL): REAL
 +
 +Returns the hyperbolic sine of x.
 +
 +PROCEDURE Cosh (x: REAL): REAL
 +
 +Returns the hyperbolic cosine of x.
 +Postcondition:
 +1.0 <= result
 +
 +PROCEDURE Tanh (x: REAL): REAL
 +
 +Returns the hyperbolic tangent of x.
 +Postcondition:
 +-1.0 <= result <= 1.0
 +
 +PROCEDURE ArcSinh (x: REAL): REAL;
 +
 +Returns the inverse hyperbolic sine of x.
 +
 +PROCEDURE ArcCosh (x: REAL): REAL;
 +
 +Returns the inverse hyperbolic cosine of x.
 +Precondition:
 +1.0 <= x
 +Postcondition:
 +0.0 <= result
 +
 +PROCEDURE ArcTanh (x: REAL): REAL;
 +
 +Returns the inverse hyperbolic tangent of x.
 +Precondition:
 +-1.0 <= x <= 1.0
 +
 +
 +*** Miscellaneous functions ***
 +
 +PROCEDURE Sign (x: REAL): REAL
 +
 +Returns the sign um function of x,
 +that is 1.0 if x > 0.0, -1.0 if x < 0.0 and 0.0 with the sign of x if x = 0.0.
 +Postcondition:
 +result IN {-1.0, 0.0, 1.0}
 +
 +PROCEDURE Floor (x: REAL): REAL
 +
 +Returns the greatest integer less than or equal to x. Identical to FLOOR(x).
 +
 +PROCEDURE Ceiling (x: REAL): REAL
 +
 +Returns the smallest integer greater than or equal to x.
 +
 +PROCEDURE Trunc (x: REAL): REAL
 +
 +Trunc truncates its argument to the next nearest integer towards zero.
 +
 +PROCEDURE Round (x: REAL): REAL
 +
 +Same as Floor(x + 0.5).
ob/visual/math/en.txt · Последнее изменение: 2022/10/02 20:37 — iadenisov

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