## functions.txt ( File view )

• By daragon 2014-11-12
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```			TSQL functions

This is a collection of 123 TSQL functions for professional, academic or learning purposes. There are many conversions hexadecimal/octal/binary/Roman numerals, mathematical functions such as hyperbolic, logic and trigonometric. Combinatorial functions such as combinations, permutations (factorial), arrangements. Other interesting functions include turning a number into plain English, Morse code, EBCDIC and vice-versa, Levenshtein Distance (linguistics), encryption, infinite precision division and number theory functions: primes, deficient, perfect, abundant, golden numbers. Validation: valid email, IP, ZIP code and many others. There are some useful string functions to count occurrences of a string within another, find a character position in a string from the end of the string, wrap, rewrap, unwrap a string, etc�

Some functions are clones from Microsoft Access  or VBA(IIF, date, time, IsNull, IsEmpty), others from Oracle (INITCAP, TRANSLATE, RPAD, LPAD, ADD_MONTHS, MONTHS_BETWEEN, LAST_DAY, NEXT_DAY).

Base convertion(10)+Combinatorial(6)+Algebra(9)+Numeric(14)+String(24)+Date(8)
Comparison, validation(27)+Logic(11)+Trigonometric(5)+Hyperbolic(9)=123 total

Levenshtein Distance algorithm-original developer: Michael Gilleland  (thank you for allowing me to translate the code to TSQL J )  http://www.merriampark.com/ld.htm

Tested on Microsoft SQL Server 2000, BigInt should be replaced with int, in order to work with other versions of Microsoft SQL Server or Sybase.

Developed or translated to TSQL by Joseph Gama.

Base convertion
DECTON(i1, i2)	Converts a decimal number i1 to base i2. Input: INT, INT; Output: VARCHAR(255)
DECTOHEX(i)	Converts a decimal number i to hexadecimal. Input: INT; Output: VARCHAR(255)
DECTOBIN(i)	Converts a decimal number i to binary. Input: INT; Output: VARCHAR(255)
DECTOOCT(i)	Converts a decimal number i to octal. Input: INT; Output: VARCHAR(255)
NTODEC(s, i)	Converts a number s on base i to decimal. Input: VARCHAR(255), INT; Output: INT
HEXTODEC(s)	Converts an hexadecimal number to decimal. Input: VARCHAR(255); Output: INT
BINTODEC(s)	Converts a binary number to decimal. Input: VARCHAR(255); Output: INT
OCTTODEC(s)	Converts an octal number to decimal. Input: VARCHAR(255); Output: INT
A2ROMAN(i)   Converts an arabic numeral to roman, as a string. Input: INT; Output: VARCHAR(20)
ROMAN2A(s)	Converts an roman numeral to arabic. Input: VARCHAR(20); Output: INT

Combinatorial
COMBIN(b1, b2)   Returns the number of combinations for a given number of objects. Input: BIGINT, BIGINT; Output: BIGINT
ARR(b1, b2)	Returns the number of arrangements for a given number of objects. Input: BIGINT, BIGINT; Output: BIGINT
FACT(b)   Returns the factorial of a number. Input: BIGINT; Output: BIGINT
FACTDOUBLE(f)   Returns the double factorial of a number. Input: FLOAT; Output: FLOAT
SUMSEQ(b) Returns the nth triangle number which is the summation from 1 to b. Input: BIGINT; Output: BIGINT
FIBONACCI(b)	Returns the nth Fibonacci series for a given number b. Input: BIGINT; Output: BIGINT

Algebra
LOGN(f1, f2)	Returns the logarithm (base f2) of f1. Input: FLOAT, FLOAT; Output: FLOAT
LOG2(f)	Returns the logarithm (base 2) of f. Input: FLOAT; Output: FLOAT
GCD(i1, i2)   Returns the greatest common divisor of 2 numbers. Input: INT, INT; Output: INT
LCM(i1, i2)   Returns the least common multiple of 2 numbers. Input: INT, INT; Output: INT
CUBE(f)	Returns the cube of the given expression. Input: FLOAT; Output: FLOAT
NROOT(f1, f2)	Returns the root f2 of a number f1. Input: FLOAT, FLOAT; Output: FLOAT
SQRTPI(f)   Returns the square root of (f * Pi). Input: FLOAT; Output: FLOAT
DISTANCE(f1,f2,f3,f4)	Returns the distance between 2 points P(f1, f2) to T(f3, f4). Input: FLOAT, FLOAT, FLOAT, FLOAT; Output: FLOAT
SLOPE(f1,f2,f3,f4)	Returns the slope of a line define by 2 points P(f1, f2) and T(f3, f4). Input: FLOAT, FLOAT, FLOAT, FLOAT; Output: FLOAT

Numeric
DIVI(i1, i2, i3)	Returns the result of the division of i1 by i2 with precision i3 (Infinite precision division).  Input: INT, INT, INT; Output: VARCHAR(5000)
NINT(f)   Rounds a number to the nearest integer. Input: FLOAT; Output: INT
TRUNC(f)   Returns a number truncated to an integer. Input: FLOAT; Output: INT
FRAC(f)	Returns the decimal part of a number. Input: FLOAT; Output: FLOAT
MIN2(i1, i2)	Returns the smallest of 2 numbers. Input: INT, INT; Output: INT
MIN3(i1, i2, i3)	Returns the smallest of 3 numbers. Input: INT, INT, INT; Output: INT
MAX2(i1, i2)	Returns the largest of 2 numbers. Input: INT, INT; Output: INT
MAX3(i1, i2, i3)	Returns the largest of 3 numbers. Input: INT, INT, INT; Output: INT
INC(i)	Returns a number incremented by 1. Input: INT; Output: INT
DEC(i)	Returns a number decremented by 1. Input: INT; Output: INT
PHI()	Returns phi, the "golden ratio". Output: FLOAT
E()	Returns e, Natural Logarithmic Base. Output: FLOAT
PERFNUMBER(i)	Returns the nth perfect number. Input: INT; Output: INT
SUMALIQUOT(i)	Returns the sum of all aliquots from i. Input: INT; Output: INT

String
INITCAP(s)	Returns a string with the first letter of each word in uppercase, all other letters in lowercase (capitalize first character).  Input: VARCHAR(255); Output: VARCHAR(255)
PROPERCASE(s)	Returns a string with the first letter of each word at the beginning of a sentence  in uppercase, all other letters in lowercase.  Input: VARCHAR(255); Output: VARCHAR(255)
INCLUDED(s1 ,s2)	Returns how many times a string s1 is included (occurs) into s2. Input: VARCHAR(255), VARCHAR(255); Output: INT
TRANSLATE(s1, s2, s3)	Returns a string with all occurrences of each character in another one replaced by its corresponding character in a third one. Input: VARCHAR(255), VARCHAR(255), VARCHAR(255); Output: VARCHAR(255)
RPAD(s1, I, s2)	Returns a string s1 right-padded to length i with a sequence of characters s2. Input: VARCHAR(255), INT, VARCHAR(255); Output: VARCHAR(255)
LPAD(s1, I, s2)	Returns a string s1 left-padded to length i with a sequence of characters s2. Input: VARCHAR(255), INT, VARCHAR(255); Output: VARCHAR(255)
VAL(s) Returns a numeric value from a string, it is the opposite of STR. Input: VARCHAR(255); Output: FLOAT
NUMBERTOWORDS(i) Returns the number as English words. Input: INT; Output: VARCHAR(255)
MORSE(s)	Returns the morse code corresponding to string s. Input: VARCHAR(255); Output: VARCHAR(255)
FROMMORSE(s)	Returns the text corresponding to a morse code string s. Input: VARCHAR(255); Output: VARCHAR(255)
CHARINDEXREV(s1, s2)	Returns the position of an occurrence of string s2 within s1, from the end of string. Input: VARCHAR(255), VARCHAR(255); Output: INT
EBCDIC2ASCII(s)	Converts a string from EBCDIC to ASCII. Input: VARCHAR(255); Output: VARCHAR(255)
ASCII2EBCDIC(s)	Converts a string from ASCII to EBCDIC. Input: VARCHAR(255); Output: VARCHAR(255)
TRIM(s)	Returns a string removing spaces at both ends. Input: VARCHAR(255); Output: VARCHAR(255)
WRAP(s, i)	Returns a string s wrapped in blocks of i characters. Input: VARCHAR(255), INT; Output: VARCHAR(255)
UNWRAP(s)	Returns a string removing all wrapping.  Input: VARCHAR(255); Output: VARCHAR(255)
REWRAP(s, i)	Returns a string s wrapped in blocks of i characters , removing previous wrapping. Input: VARCHAR(255), INT; Output: VARCHAR(255)
LEVENSHTEIN(s1, s2)	Returns the Levenshtein Distance between strings s1 and s2. Input: VARCHAR(255), VARCHAR(255); Output: INT
STRIPL(s)	Returns the left side of half of the string. Input: VARCHAR(255); Output: VARCHAR(255)
STRIPR(s)	Returns the right side of half of the string. Input: VARCHAR(255); Output: VARCHAR(255)
XORCHAR(s,t)	Returns a string encrypted/decrypted with numeric key t, 0
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