cpx -- Complex number data type

Module description

cpx -- Complex number data type: The cpx module implements complex numbers. A complex number consists of two float numbers on the stack: first the real part of the complex number and second the imaginary part of the number.

Complex Structure

cpx% ( -- n ): Get the required space for a cpx variable

Complex variable creation, initialisation and destruction

cpx-init ( cpx -- ): Initialise to the zero complex number

cpx-create ( "<spaces>name" -- ; -- cpx ): Create a named complex number variable in the dictionary

cpx-new ( -- cpx ): Create a new complex number variable on the heap

cpx-free ( cpx -- ): Free the complex number variable from the heap

Calculation module words

cpx+add ( F: r1 r2 r3 r4 -- r5 r6 ): Add the complex number r1+jr2 to r3+jr4

cpx+sub ( F: r1 r2 r3 r4 -- r5 r6 ): Subtract the complex number r1+jr2 from the number r3+jr4

cpx+mul ( F: r1 r2 r3 r4 -- r5 r6 ): Multiply the complex numbers r1+jr2 with r3+jr4

cpx+rmul ( F: r1 r2 r3 -- r4 r5 ): Multiply the complex number r1+jr2 with the real number r3

cpx+imul ( F: r1 r2 r3 -- r4 r5 ): Multiply the complex number r1+jr2 with the imaginary number r3

cpx+div ( F: r1 r2 r3 r4 -- r5 r6 ): Divide the complex number r3+jr4 by number r1+jr2

cpx+conj ( F: r1 r2 -- r3 r4 ): Conjugate the complex number r1+jr2

cpx+nrm ( F: r1 r2 -- r3 ): Calculate the square of the modulus of the complex number r1+jr2

cpx+abs ( F: r1 r2 -- r3 ): Calculate the modulus of the complex number r1+jr2

cpx+sqrt ( F: r1 r2 -- r3 r4 ): Calculate the square root for the complex number r1+jr2

cpx+exp ( F: r1 r2 -- r3 r4 ): Calculate the exponent function for the complex number r1+jr2

cpx+ln ( F: r1 r2 -- r3 r4 ): Calculate the natural logarithm for the complex number r1+jr2

cpx+sin ( F: r1 r2 -- r3 r4 ): Calculate the trigonometric functions sine for the complex number r1+jr2

cpx+cos ( F: r1 r2 -- r3 r4 ): Calculate the trigonometric functions cosine for the complex number r1+jr2

cpx+tan ( F: r1 r2 -- r3 r4 ): Calculate the trigonometric functions tangent for the complex number r1+jr2

cpx+asin ( F: r1 r2 -- r3 r4 ): Calculate the inverse trigonometric function sine for the complex number r1+jr2

cpx+acos ( F: r1 r2 -- r3 r4 ): Calculate the inverse trigonometric function cosine for the complex number r1+jr2

cpx+atan ( F: r1 r2 -- r3 r4 ): Calculate the inverse trigonometric function tangent for the complex number r1+jr2

cpx+sinh ( F: r1 r2 -- r3 r4 ): Calculate the hyperbolic function sine for the complex number r1+jr2

cpx+cosh ( F: r1 r2 -- r3 r4 ): Calculate the hyperbolic function cosine for the complex number r1+jr2

cpx+tanh ( F: r1 r2 -- r3 r4 ): Calculate the hyperbolic function tangent for the complex number r1+jr2

cpx+asinh ( F: r1 r2 -- r3 r4 ): Calculate the inverse hyperbolic function sine for the complex number r1+jr2

cpx+acosh ( F: r1 r2 -- r3 r4 ): Calculate the inverse hyperbolic function cosine for the complex number r1+jr2

cpx+atanh ( F: r1 r2 -- r3 r4 ): Calculate the inverse hyperbolic function tangent for the complex number r1+jr2

Conversion module words

cpx+to-string ( F: r1 r2 -- ; -- c-addr u ): Convert the complex number r1+jr2 to a string, using precision and PAD

cpx+to-polar ( F: r1 r2 -- r3 r4 ): Convert the complex number r1+jr2 to polar notation with radius r3 and theta r4

cpx+from-polar ( F: r1 r2 -- r3 r4 ): Convert the polar radius r1, theta r2 to complex number r3+jr4

Compare module words

cpx+equal? ( F: r1 r2 r3 r4 -- ; -- flag ): Check if the complex numbers r1+jr2 and r3+jr4 are [true] equal

Variable words

cpx-re@ ( F: -- r ; cpx -- ): Get the real part of the complex number

cpx-im@ ( F: -- r ; cpx -- ): Get the imaginary part of the complex number

cpx-get ( F: -- r1 r2 ; cpx -- ): Get the complex number r1+jr2 from the complex variable

cpx-set ( F: r1 r2 -- ; cpx -- ): Set the complex number r1+jr2 in the complex variable

cpx^move ( cpx2 cpx1 -- ): Move complex2 in complex1

cpx^equal? ( cpx2 cpx1 -- flag ): Check if complex2 is [true] equal to complex1

cpx-dump ( cpx -- ): Dump the complex variable

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