;[CALHELP1.CAL]	This is XCAL's help for Non-Transcendental Native Functions
;
;HelpPage
;HelpSection Native Non-Trigonometric Functions
;HelpStart FUNCTION,FUNCTIONS,NATIVE
;HelpStart ABS,ABS(X),ABSOLUTE,ABSOLUTE VALUE
ABS(x)
------
The ABS function returns the Absolute Value of the given argument.


;HelpEnd   ABS,ABS(X),ABSOLUTE,ABSOLUTE VALUE
;HelpStart DEG,DEG(X),RADIAN,RADIANS,DEGREE,DEGREES
DEG(x)
------
The DEG function converts Radians to Degrees with the formula:

		Degrees = Radians * (180 / Pi)

         Note: One Radian is approximately 57.295779513082 Degrees.
	       One Degree is approximately 0.01745329252   Radians.

;HelpEnd   DEG,DEG(X),RADIAN,RADIANS,DEGREE,DEGREES
;HelpStart EXP,EXP(X),EXP2,EXP2(X),EXP10,EXP10(X),ANTILOG,ANTILOG(X)
EXP(x)
------
EXP(x)   returns the exponential function  e^x  (antilog base  e of x).
EXP2(x)  returns the exponential function  2^x  (antilog base  2 of x).
EXP10(x) returns the exponential function  10^x (antilog base 10 of x).

               y
	       |		*	If  x  is large, an ERANGE (result out
y=EXP(x)     +e+- - - - - - - -*	of range) error may occur.
               |              *|
	       |            *  |	In the formula  y=EXP(x), the DOMAIN
             +2+          *    |	x  is  -Infinity..+Infinity  while
               |       *       |	the RANGE  y  is 0..+Infinity.
               |   *           |
             +1*	       |	Graphically, y=EXP(x) may be
        *      |	       |	represented as shown.
*             0|	       |
x------+-------+-------+-------+---	Note: e = EXP(1) = 2.71828182845
      -.5      0      +.5     +1	Note: 1 = LOG(e)
;HelpStart IDENTITY,IDENTITIES

Common mathematical identities with EXP:
EXP(-x)		= 1/EXP(x)
EXP(i*x)	= COS(x)+i*SIN(x)
EXP(-i*x)	= COS(x)-i*SIN(x)
EXP(a^b)	= EXP(1)^(a^b)
EXP(a*b)	= EXP(a)^b
EXP(a/b)	= EXP(a)^(1/b)
EXP(a+b)	= EXP(a)*EXP(b)
EXP(a-b)	= EXP(a)/EXP(b)
SIN(x)		= (e^(i*x)-e^(-i*x))/(2*i)
COS(x)		= (e^(i*x)+e^(-i*x))/2
TAN(x)		= -i*((e^(i*x)-e^(-i*x))/(e^(i*x)+e^(-i*x)))
COT(x)		= i*((e^(i*x)+e^(-i*x))/(e^(i*x)-e^(-i*x)))
SEC(x)		= 2/(e^(i*x)+e^(-i*x))
CSC(x)		= 2*i/(e^(i*x)-e^(-i*x))

;HelpEnd   IDENTITY,IDENTITIES
;HelpEnd   EXP,EXP(X),EXP2,EXP2(X),EXP10,EXP10(X),ANTILOG,ANTILOG(X)
;HelpPage
;HelpStart FACTOR,FACTOR(X),PRIMES,PRODUCT OF PRIMES
FACTOR(x)
---------
The FACTOR function computes and displays the "Product of Primes" of the
given argument.  The function handles both positive and negative arguments
and returns the INT(x).

	Example: Xcal>factor(11!)
		      1*2^8*3^4*5^2*7*11=39916800
		 Xcal>factor(-24.6)
		      -1*2^3*3=-24
		 Xcal>

;HelpEnd   FACTOR,FACTOR(X),PRIMES,PRODUCT OF PRIMES
;HelpStart FRAC,FRAC(X),FRACTION,FRACTIONS
FRAC(x)
-------
The FRAC function returns the fractional part of a real number.

	Example: Xcal>frac(1.234)
		      0.234
		 Xcal>


;HelpEnd   FRAC,FRAC(X),FRACTION,FRACTIONS
;HelpStart INT,INT(X),INTEGER
INT(x)
------
The INT function returns the INTEGER part of a real number.  This is the
same as TRUNC(x).

	Example: Xcal>int(1.234)
		      1
		 Xcal>


;HelpEnd   INT,INT(X),INTEGER
;HelpPage
;HelpStart LOG,LOG(X),LOG2,LOG2(X),LOG10,LOG10(X),NAPIERIAN,BRIGGSIAN
LOG(x)
------
LOG(x)   returns the natural logarithm (base e) of x.	(Napierian) 
LOG2(x)  returns the logarithm (base 2) of x.
LOG10(x) returns the common logarithm (base 10) of x.	(Briggsian) 

  y
+2+    y=LOG(x)                       *   If  x  is large, an ERANGE (result
  |                          *            out of range) error may occur.
  |                   *
+1+- - - - - - -*                         In the formula  y=LOG(x), the DOMAIN
  |         *   |                         x  is  0 < x < +Infinity   while the
  |       *     |                         RANGE  y  is -Infinity..+Infinity.
x-+-----*----+--+-+----+----+----+----+
  |0  * 1    2  e 3    4    5    6    7   Graphically, y=LOG(x) may be
  |  *                                    represented as shown.
-1+ *           e=2.71828182845
  |					  Note: e = EXP(1) = 2.71828182845
-2+*					  Note:	1 = LOG(e)
;HelpStart IDENTITY,IDENTITIES

Common mathematical identities with LOG:
LOG(a^b)	= LOG(a)*b
LOG(a*b)	= LOG(a)+LOG(b)
LOG(a/b)	= LOG(a)-LOG(b)

;HelpEnd   IDENTITY,IDENTITIES
;HelpEnd   LOG,LOG(X),LOG2,LOG2(X),LOG10,LOG10(X),NAPIERIAN,BRIGGSIAN
;HelpPage
;HelpStart RAD,RAD(X),RADIAN,RADIANS,DEGREE,DEGREES
RAD(x)
------
The RAD function converts Degrees to Radians with the formula:

		Radians = Degrees / (180 / Pi)

         Note: One Radian is approximately 57.295779513082 Degrees.
	       One Degree is approximately 0.01745329252   Radians.


;HelpEnd   RAD,RAD(X),RADIAN,RADIANS,DEGREE,DEGREES
;HelpStart TRUNC,TRUNC(X),INTEGER
TRUNC(x)
--------
The TRUNC function returns the INTEGER part of a real number.  This is the
same as INT(x).

	Example: Xcal>trunc(1.234)
		      1
		 Xcal>


;HelpEnd   TRUNC,TRUNC(X),INTEGER
;HelpEnd   FUNCTION,FUNCTIONS,NATIVE
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;*******		End of CALHELP1.CAL			*******
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