The functions overview:

NUMBERS
(Class name)

Type of

Natural⁺⁰
(Nat)

Integer
(Int)

Rational
(Rat)

Real
(Dec)

all
(Big)

Parameters

Result

Basic methods

Changing a numerical system

changeBase

s₁, s₂, x

z

Random value

rnd

s, x_max

z

Ludolf's number

pi

s

z

Euler's number

e

s

z

Apéry's number

zeta

s

z

Golden ratio

phi

s

z

Square root of two

sqrt2

s

z

Parity (EVEN/ODD)

parity

s, x

z

Compare two values

compareNat

compareInt

compareRat

compareDec

compare

s, x, y

c

Sum of two values

plusNat

plusInt

plusRat

plusDec

plus

s, x, y

z

Subtracting

minusNat

minusInt

minusRat

minusDec

minus

s, x, y

z

Multiplying one value by another

multiNat

multiInt

multiRat

multiDec

multi

s, x, y

z

Dividing one value to another

divNat

divInt

divRat

divDec

div

s, x, y

z

Rest after division

moduloInt

moduloRat

moduloDec

modulo

s, x, y

z

Power

powerRat

powerDec

power

s, x, y

z

Square root

sqrt

s, x, a

z

Root

root

s, x, y, a

z

Natural logarithm

ln

s, x, a

z

Natural exponential function e^x

exp

s, x, a

z

Sine

sin

s, x, a

z

Cosine

cos

s, x, a

z

Factorial

factorial

»

»

»

s, x

z

Largest common divisor

gcd

»

»

»

s, x, y

z

Least common multiple

lcm

»

»

»

s, x, y

z

Absolute value

abs

»

»

»

x

z

Change +/- sign

neg

»

»

»

x

z

Returns a sign

signum

»

»

»

x

c

Test to zero

isZero

»

»

»

»

x

b

Auxiliary methods

Sum of ciphers

cipherSum

»

»

»

»

s, x

z

Returns the alphabet

getAbc

»

»

»

»

-

z

Sets the alphabet

setAbc

»

»

»

»

x

-

Returns a length of the alphabet

abcLength

»

»

»

»

-

i

Converts char to int

c2i

»

»

»

»

c

i

Converts int to a char

i2c

»

»

»

»

i

c

Natural number test

isNat

»

»

»

»

s, x

b

Test a number with the rest

isRat

»

»

»

»

s, x

b

Returns a numerator

numPart

»

»

»

»

x

z

Returns a denominator

denPart

»

»

»

»

x

z

Returns a whole part

intPart

»

»

»

x

z

Returns a decimal part

decPart

»

»

»

x

z

Returns a part with remainder

fractPart

»

»

»

x

z

Integer test

isInt

»

»

»

s, x

b

Converts Dec to Rat

dec2rat

»

»

s, x

z

Converts Dec to Rat

rat2dec

»

s, x, a

z

Rounds off a decimal number

round

»

s, x, a

z

Decimal number test

isDec

»

s, x

b

Modular inverse

modInv

s, x, y

z

Modular exponentiation

modPow

s, x₁, x₂, x₃

z

Primality test

Fix of redundant characters

check

s, x

z

Explanatory notes:     

 » = availability of the method through inheritance

  int  i = an order number  (from the "numalphabet")
        a = accuracy   (in number of "decimal" places) 
        s = the base of a numerical system (radix)

 String  x, y = inputs numbers into a method
                  z = a result   (can be <NaN> or <INFINITY> in an error case)
     
 char   c = cipher (UTF-8)

 boolean   b = test result

HW: DELL
OS: Win32

HW: ASUS
OS: Linux64

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