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Full Discussion: awk and trig functions
Top Forums Shell Programming and Scripting awk and trig functions Post 302331048 by pauli on Friday 3rd of July 2009 08:24:10 AM
Old 07-03-2009
Bug awk and trig functions

dear all,

In my script, it would be ideal if I could use an arc-cos (inverse cos) function. I think trig functions are indeed provided by awk, but not inverse trig functions.

So my question simply is: are there any alternative ways to incorporate inverse trig functions into a script?

Any help greatly appreciated!

Many thanks,

pauli
 

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sin(3m) 																   sin(3m)

Name
       sin, cos, tan, asin, acos, atan, atan2 - trigonometric functions and their inverses

Syntax
       #include <math.h>

       double sin(x)
       double x;

       float fsin(x)
       float x;

       double cos(x)
       double x;

       float fcos(x)
       float x;

       double tan(x)
       double x;

       float ftan(x)
       float x;

       double asin(x)
       double x;

       float fasin(x)
       float x;

       double acos(x)
       double x;

       float facos(x)
       float x;

       double atan(x)
       double x;

       float fatan(x)
       float x;

       double atan2(y,x)
       double y,x;

       float fatan2(y,x)
       float y,x;

Description
       The and functions return trigonometric functions of radian arguments x for double data types.

       The and functions return trigonometric functions for float data types.

       The and functions return the arc sine in the range -pi/2 to pi/2 for double and float data types, respectively.

       The and functions return the arc cosine in the range 0 to pi for double and float data types, respectively.

       The and functions return the arc tangent in the range -pi/2 to pi/2 for double and float data types, respectively.

       The  and  functions  return  the  arc tangent of y/x in the range -pi to using the signs of both arguments to determine the quadrant of the
       return value for double and float data types, respectively.

   Error (due to roundoff)
       When P stands for the number stored in the computer in place of pi = 3.14159 26535 89793 23846 26433 ... .  and "trig" stands  for  one	of
       "sin",  "cos"  or  "tan",  then	the  expression  "trig(x)" in a program actually produces an approximation to trig(x*pi/P), and "atrig(x)"
       approximates (P/pi)*atrig(x).  The approximations are close.

       P differs from pi by a fraction of an ulp; the difference is apparent only if the argument x is huge,  and  even  then  the  difference	is
       likely  to  be swamped by the uncertainty in x.	Every trigonometric identity that does not involve pi explicitly is satisfied equally well
       regardless of whether P = pi.  For example, sin(x)**2+cos(x)**2 = 1 and sin(2x) = 2sin(x)cos(x) to within a few ulps regardless of how  big
       x is.  Therefore, the difference between P and pi is unlikely to effect scientific and engineering computations.

Return Values
       All the double functions return NaN if NaN is passed in.

       If |x| > 1 then (x) and (x) will return the default quiet NaN.

       The function defines (0,0) = NaN.

See Also
       hypot(3m), math(3m), sqrt(3m)

								       RISC								   sin(3m)
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