new in this release (97/06/26):
some functions, variables, new constants pi and last
Hi #?,
This is ci, the desktop calculator for operations
on complex numbers. To install, just copy it to c: or
anywhere else in your command path. Call it with 'ci'
and leave it by pressing 'Ctrl\' (control backslash, EOF).
ci accepts inputs in the conventional manner, that
is, real and imaginary part are seperated by addition or
subtraction. The imaginary part is multiplied or divided
by i (square root of 1).
ci knows the following operators:
a+b, ab, a*b, a/b  the usual
a^b  exponentiation
a  mean argument (angle)
a  modulus
~a  complex conjugation
ci knows the following constants:
i  square root of 1
e  Euler number
pi  pi
last  value of last expression
(this is a const for technical
reasons only, i.e. the user may
not change it)
ci knows the following functions:
re(z)  returns the real part of z
im(z)  returns the imaginary part of z
exp(z)
sqrt(z)
sin(z)
cos(z)
sinh(z)
cosh(z)
ci understands assignments to variables (e.g. a1_2=1)
Every trigonometric operation can be acomplished with the
exponentiation operator, e.g.:
sin(x) == (e^(z*i)e^(z*i))/(2*i)
Of course, any root can be computed too, e.g.:
nth root of a == a^(1/n)
Examples:
$ ci
>1^(1/2)
6.123032e17+i*1.000000e+00 < real part should be 0 !
>2^2
4.000000e+00+i*0.000000e+00
>e^(4*i+2)
4.829809e+00+i*5.592056e+00
>1+i
1.414214e+00+i*0.000000e+00
>(1+i)
7.853982e01+i*0.000000e+00
>(2+3*i)*(i^2)
2.000000e+00+i*3.000000e+00
The parser for ci was generated by 'bison'.
You may ask for improvements, but please understand that
I didn't have the time to answer all incoming mails immediatley.
Let me know if you are using ci for educational or other purposes
on a regulary (once a week or so) basis.
bye,
Thomas
