cpx - Complex number module
Module Description
The cpx module implements words for using complex numbers.
Module Words
Complex Structure
cpx%
( - n )
Get the required space for the cpx data structure
Complex structure creation, initialisation and destruction
cpx-init
( w:cpx - )
Initialise the zero complex number
cpx-create
( "name" - )
Create a named complex number in the dictionary
cpx-new
( - w:cpx )
Create a new complex number on the heap
cpx-free
( w:cpx - )
Free the complex number from the heap
Calculation module words
cpx+add
( r:re2 r:im2 r:re1 r:im1 - r:re r:im )
Add two complex numbers on stack
cpx+sub
( r:re2 r:im2 r:re1 r:im1 - r:re r:im )
Subtract complex number 1 from number 2 on stack
cpx+mul
( r:re2 r:im2 r:re1 r:im1 - r:re r:im )
Multiply two complex numbers on stack
cpx+rmul
( r:re r:im r:re2 - r:re r:im )
Multiply a complex number with a real number
cpx+imul
( r:re r:im r:im2 - r:re r:im )
Multiply a complex number with an imaginary number
cpx+div
( r:re2 r:im2 r:re1 r:im1 - r:re r:im )
Divide complex number 2 by number 1 on stack
cpx+conj
( r:re r:im - r:re r:im )
Conjugate the complex number on stack
cpx+nrm
( r:re r:im - r )
Calculate the square of the modulus of the complex number
cpx+abs
( r:re r:im - r )
Calculate the modulus of the complex number
cpx+sqrt
( r:re r:im - r:re r:im )
Calculate the square root for the complex number on stack
cpx+exp
( r:re r:im - r:re r:im )
Calculate the exponent function for the complex number on stack
cpx+ln
( r:re r:im - r:re r:im )
Calculate the natural logarithm for the complex number on stack
cpx+sin
( r:re r:im - r:re r:im )
Calculate the trigonometric functions sine for the complex number on stack
cpx+cos
( r:re r:im - r:re r:im )
Calculate the trigonometric functions cosine for the complex number on stack
cpx+tan
( r:re r:im - r:re r:im )
Calculate the trigonometric functions trangent for the complex number on stack
cpx+asin
( r:re r:im - r:re r:im )
Calculate the inverse trigonometric function sine for the complex number on stack
cpx+acos
( r:re r:im - r:re r:im )
Calculate the inverse trigonometric function cosine for the complex number on stack
cpx+atan
( r:re r:im - r:re r:im )
Calculate the inverse trigonometric function tangent for the complex number on stack
cpx+sinh
( r:re r:im - r:re r:im )
Calculate the hyperbolic function sine for the complex number on stack
cpx+cosh
( r:re r:im - r:re r:im )
Calculate the hyperbolic function cosine for the complex number on stack
cpx+tanh
( r:re r:im - r:re r:im )
Calculate the hyperbolic function tangent for the complex number on stack
cpx+asinh
( r:re r:im - r:re r:im )
Calculate the inverse hyperbolic function sine for the complex number on stack
cpx+acosh
( r:re r:im - r:re r:im )
Calculate the inverse hyperbolic function cosine for the complex number on stack
cpx+atanh
( r:re r:im - r:re r:im )
Calculate the inverse hyperbolic function tangent for the complex number on stack
Conversion module words
cpx+to-string
( r:re r:im - c-addr u )
Convert the complex number to a string, using precision and PAD
cpx+to-polar
( r:re r:im - r:r r:theta )
Convert complex number to polar
cpx+from-polar
( r:r r:theta - r:re r:im )
Convert polar to complex number
Compare module words
cpx+equal?
( r:re2 r:im2 r:re1 r:im1 - f )
Check if two complex numbers are [true] equal
Structure words
cpx-re@
( w:cpx - r:re )
Get the real part of the complex number
cpx-im@
( w:cpx - r:im )
Get the imaginary part of the complex number
cpx-get
( w:cpx - r:re r:im )
Get the complex number
cpx-set
( r:re r:im w:cpx )
Set the complex number
cpx^move
( w:cpx2 w:cpx1 - )
Move complex2 in complex1
cpx^equal?
( w:cpx2 w:cpx1 - f )
Check if complex2 is [true] equal to complex1
cpx-dump
( w:cpx - )
Dump the complex number
generated 09-Jan-2007 by
ofcfrth-0.2.0