{Mathematics|_functions}

CLASS {Mathematics|_functions} , ABSTRACT, NATIVE, BITWISE, UNTESTED :

Математические функции и константы (для работы с вещественными числами).

IMPORT : {NATIVE_Mathematics} , {System_functions} , {String_functions} .

             

FUNCTION Square|_of ( REAL V|alue_to_square ) ==> REAL
FUNCTION Cube|_of_value (      REAL V|alue_to_square ) ==> REAL
FUNCTION Power|_of (      REAL B|ase_value ,      REAL Exp|onent ) ==> REAL , NATIVE
FUN Sqrt|_square_root ( REAL X|_argument ) ==> REAL , NATIVE
FUNCTION Is_NAN|_value ( REAL V|alue_to_check ) ==> BOOL , NATIVE
FUNCTION Is_INF|_positive_or_negative (      REAL V|alue_to_check ) ==> BOOL , NATIVE
FUN Abs|olute_number ( INT,REAL X|_argument ) ==> INT,REAL
FUN IAbs|olute_integer ( INT X|_argument ) ==> INT , DEPRECATED('Abs')
FUN Sign|_of_number ( INT,REAL X|_number ) ==> INT
FUN Round|_to_nearest_integer ( REAL X|_number ) ==> REAL , NATIVE
FUN Trunc|_to_smaller_integer ( REAL X|_number ) ==> INT , NATIVE
FUN Almost_eq|ual_to ( REAL X|_number , REAL C|ompare_with ) ==> BOOL
FUN Near|_value (      REAL X|_number ,      REAL C|ompare_with ) ==> BOOL , INLINE

----------------------- 'Максимум, минимум, среднее в массиве вещественных'

 

FUN Average|_number ( INT,REAL A|rray_of_numbers [*] ) ==> REAL

--------------------------------------------------------------- 'логарифмы'

   

FUN Log10|_based_logarithm ( REAL X|_argument ) ==> REAL , NATIVE
FUN Ln|atural_logarithm ( REAL X|_argument ) ==> REAL , NATIVE
FUN Base_log|arithm (      REAL Base|_argument ,      REAL X|_argument ) ==> REAL , NATIVE

----------------------------------------------------------- 'тригонометрия'

     

FUN PI|_trigonometric_constant ==> REAL , NATIVE
FUN Sin|us_of_radians ( REAL X|_argument ) ==> REAL , NATIVE
FUN Cos|inus_of_radians ( REAL X|_argument ) ==> REAL , NATIVE
FUN Tan|gens_of_radians ( REAL X|_argument ) ==> REAL , NATIVE
FUN Cotan|gens_of_radians ( REAL X|_argument ) ==> REAL , NATIVE

------------------------------------- 'обратные тригонометрические функции'

    

FUN Arcsin|us_to_radians ( REAL X|_argument ) ==> REAL , NATIVE
FUN Arccos|inus_to_radians ( REAL X|_argument ) ==> REAL , NATIVE
FUN Arctan|gens_to_radians ( REAL X|_argument ) ==> REAL , NATIVE
FUN Arctan2|gens_of_ratio || Atan2|_oldschool_name (      REAL Y|_argument ,      REAL X|_argument ) ==> REAL , NATIVE

------------------------------------ 'экспонента и гиперболические функции'

     

FUN Exp|onent ( REAL X|_argument ) ==> REAL , NATIVE
FUN Sinh|yperbolic ( REAL X|_argument ) ==> REAL , NATIVE
FUN Cosh|yperbolic ( REAL X|_argument ) ==> REAL , NATIVE
FUN Tanh|yperbolic ( REAL X|_argument ) ==> REAL , NATIVE
FUN Coth|yperbolic ( REAL X|_argument ) ==> REAL , NATIVE

---------------------------------------- 'обратные гиперболические функции'

   

FUN Arcsinh|yperbolic ( REAL X|_argument ) ==> REAL , NATIVE
FUN Arccosh|yperbolic ( REAL X|_argument ) ==> REAL , NATIVE
FUN Arctanh|yperbolic ( REAL X|_argument ) ==> REAL , NATIVE

---------------------------------------- 'целочисленные функции математики'

  

FUN Int_pow|er ( INT B|ase_value , INT Exp|onent ) ==> INT
FUN Is_negative ( INT Value|_to_check ) ==> BOOL

------------------------------------------------------------ 'Rome numbers'

     

FUNCTION Rome|_number ( INT X|_value_from_1_to_100000 ) ==> STR
FUN Real|_from_string ( STR S|tring_source ) ==> REAL
FUNCTION Frac|tional_part ( REAL V|alue_to_get_frac ) ==> REAL
FUNCTION S_float|ing_point_representation (      REAL R|eal_value ,      INT Decimal_digits|_negative_to_use_schoolar_rounding ) ==> STR
FUN increment ( STR S|ource_string_og_digits ) ==> STR

END