File: complex.thi

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;; -*-theme-d-*-

;; Copyright (C) 2014, 2021  Tommi Höynälänmaa
;; Distributed under GNU Lesser General Public License version 3,
;; see file doc/LGPL-3.


(define-interface (standard-library complex)

  (import (standard-library core)
	  (standard-library rational)
	  (standard-library real-math)
	  (standard-library object-string-conversion))

  (define-class <complex>
    (attributes immutable equal-by-value)
    (inheritance-access hidden)
    (fields
     (re <real> public hidden)
     (im <real> public hidden))
    (zero (create <complex> 0.0 0.0)))
  
  (define-virtual-gen-proc complex)

  (declare-virtual-method complex (:simple-proc (<real-number> <real-number>)
					<complex> pure))
  (declare-virtual-method complex (:simple-proc (<real> <real>) <complex> pure))
  (declare-virtual-method complex (:simple-proc (<real> <integer>) <complex> pure))
  (declare-virtual-method complex (:simple-proc (<real> <rational>) <complex> pure))
  (declare-virtual-method complex (:simple-proc (<integer> <real>) <complex> pure))
  (declare-virtual-method complex (:simple-proc (<integer> <integer>) <complex> pure))
  (declare-virtual-method complex (:simple-proc (<integer> <rational>) <complex> pure))
  (declare-virtual-method complex (:simple-proc (<rational> <real>) <complex> pure))
  (declare-virtual-method complex (:simple-proc (<rational> <integer>) <complex> pure))
  (declare-virtual-method complex (:simple-proc (<rational> <rational>) <complex> pure))

  (declare-method real->complex (:simple-proc (<real>) <complex> (pure)))
  (declare-method integer->complex (:simple-proc (<integer>) <complex> (pure)))
  (declare-method rational->complex (:simple-proc (<rational>) <complex> (pure)))
  (declare-method simplify-complex
		  (:simple-proc (<complex>) (:union <complex> <real>) pure))
  
  (declare-method complex=? (:simple-proc (<complex> <complex>) <boolean> pure))
  (declare-method complex= (:simple-proc (<complex> <complex>) <boolean> pure))
  (declare-method complex-integer= (:simple-proc (<complex> <integer>) <boolean>
					   pure))
  (declare-method integer-complex= (:simple-proc (<integer> <complex>) <boolean>
					   pure))
  (declare-method complex-real= (:simple-proc (<complex> <real>) <boolean> pure))
  (declare-method real-complex= (:simple-proc (<real> <complex>) <boolean> pure))
  (declare-method complex-rational= (:simple-proc (<complex> <rational>) <boolean>
					    pure))
  (declare-method rational-complex= (:simple-proc (<rational> <complex>) <boolean>
					    pure))

  (declare-virtual-method equal? (:simple-proc (<complex> <complex>) <boolean> pure))
  (declare-virtual-method = (:simple-proc (<complex> <complex>) <boolean> pure))
  (declare-virtual-method = (:simple-proc (<complex> <integer>) <boolean> pure))
  (declare-virtual-method = (:simple-proc (<integer> <complex>) <boolean> pure))
  (declare-virtual-method = (:simple-proc (<complex> <real>) <boolean> pure))
  (declare-virtual-method = (:simple-proc (<real> <complex>) <boolean> pure))
  (declare-virtual-method = (:simple-proc (<complex> <rational>) <boolean> pure))
  (declare-virtual-method = (:simple-proc (<rational> <complex>) <boolean> pure))

  (declare-method real-part (:simple-proc (<complex>) <real> (pure)))
  (declare-method imag-part (:simple-proc (<complex>) <real> (pure)))
  (declare-method make-polar (:simple-proc (<real> <real>) <complex> (pure)))
  (declare-method c-abs (:simple-proc (<complex>) <real> (pure)))
  (declare-method c-angle (:simple-proc (<complex>) <real> (pure)))

  (declare-method c-neg (:simple-proc (<complex>) <complex> pure))
  (declare-method c-square (:simple-proc (<complex>) <complex> pure))
  (declare-method c-conj (:simple-proc (<complex>) <complex> pure))
  
  (declare-virtual-method abs (:simple-proc (<complex>) <real> (pure)))
  (declare-virtual-method - (:simple-proc (<complex>) <complex> (pure)))
  (declare-virtual-method square (:simple-proc (<complex>) <complex> (pure)))
  (declare-virtual-method conj (:simple-proc (<complex>) <complex> pure))

  (declare-method complex+ (:simple-proc (<complex> <complex>) <complex> (pure)))
  (declare-method complex- (:simple-proc (<complex> <complex>) <complex> (pure)))
  (declare-method complex* (:simple-proc (<complex> <complex>) <complex> (pure)))
  (declare-method complex/ (:simple-proc (<complex> <complex>) <complex> (pure)))

  (declare-method real-complex+ (:simple-proc (<real> <complex>) <complex> (pure)))
  (declare-method real-complex- (:simple-proc (<real> <complex>) <complex> (pure)))
  (declare-method real-complex* (:simple-proc (<real> <complex>) <complex> (pure)))
  (declare-method real-complex/ (:simple-proc (<real> <complex>) <complex> (pure)))

  (declare-method complex-real+ (:simple-proc (<complex> <real>) <complex> (pure)))
  (declare-method complex-real- (:simple-proc (<complex> <real>) <complex> (pure)))
  (declare-method complex-real* (:simple-proc (<complex> <real>) <complex> (pure)))
  (declare-method complex-real/ (:simple-proc (<complex> <real>) <complex> (pure)))

  (declare-method integer-complex+
	   (:simple-proc (<integer> <complex>) <complex> (pure)))
  (declare-method integer-complex-
	   (:simple-proc (<integer> <complex>) <complex> (pure)))
  (declare-method integer-complex*
	   (:simple-proc (<integer> <complex>) <complex> (pure)))
  (declare-method integer-complex/
	   (:simple-proc (<integer> <complex>) <complex> (pure)))

  (declare-method complex-integer+
	   (:simple-proc (<complex> <integer>) <complex> (pure)))
  (declare-method complex-integer-
	   (:simple-proc (<complex> <integer>) <complex> (pure)))
  (declare-method complex-integer*
	   (:simple-proc (<complex> <integer>) <complex> (pure)))
  (declare-method complex-integer/
	   (:simple-proc (<complex> <integer>) <complex> (pure)))

  (declare-method rational-complex+
	   (:simple-proc (<rational> <complex>) <complex> (pure)))
  (declare-method rational-complex-
	   (:simple-proc (<rational> <complex>) <complex> (pure)))
  (declare-method rational-complex*
	   (:simple-proc (<rational> <complex>) <complex> (pure)))
  (declare-method rational-complex/
	   (:simple-proc (<rational> <complex>) <complex> (pure)))

  (declare-method complex-rational+
	   (:simple-proc (<complex> <rational>) <complex> (pure)))
  (declare-method complex-rational-
	   (:simple-proc (<complex> <rational>) <complex> (pure)))
  (declare-method complex-rational*
	   (:simple-proc (<complex> <rational>) <complex> (pure)))
  (declare-method complex-rational/
	   (:simple-proc (<complex> <rational>) <complex> (pure)))

  (declare-virtual-method + (:simple-proc (<complex> <complex>) <complex> (pure)))
  (declare-virtual-method + (:simple-proc (<real> <complex>) <complex> (pure)))
  (declare-virtual-method + (:simple-proc (<integer> <complex>) <complex> (pure)))
  (declare-virtual-method + (:simple-proc (<rational> <complex>) <complex> (pure)))
  (declare-virtual-method + (:simple-proc (<complex> <real>) <complex> (pure)))
  (declare-virtual-method + (:simple-proc (<complex> <integer>) <complex> (pure)))
  (declare-virtual-method + (:simple-proc (<complex> <rational>) <complex> (pure)))

  (declare-virtual-method - (:simple-proc (<complex> <complex>) <complex> (pure)))
  (declare-virtual-method - (:simple-proc (<real> <complex>) <complex> (pure)))
  (declare-virtual-method - (:simple-proc (<integer> <complex>) <complex> (pure)))
  (declare-virtual-method - (:simple-proc (<rational> <complex>) <complex> (pure)))
  (declare-virtual-method - (:simple-proc (<complex> <real>) <complex> (pure)))
  (declare-virtual-method - (:simple-proc (<complex> <integer>) <complex> (pure)))
  (declare-virtual-method - (:simple-proc (<complex> <rational>) <complex> (pure)))

  (declare-virtual-method * (:simple-proc (<complex> <complex>) <complex> (pure)))
  (declare-virtual-method * (:simple-proc (<real> <complex>) <complex> (pure)))
  (declare-virtual-method * (:simple-proc (<integer> <complex>) <complex> (pure)))
  (declare-virtual-method * (:simple-proc (<rational> <complex>) <complex> (pure)))
  (declare-virtual-method * (:simple-proc (<complex> <real>) <complex> (pure)))
  (declare-virtual-method * (:simple-proc (<complex> <integer>) <complex> (pure)))
  (declare-virtual-method * (:simple-proc (<complex> <rational>) <complex> (pure)))

  (declare-virtual-method / (:simple-proc (<complex> <complex>) <complex> (pure)))
  (declare-virtual-method / (:simple-proc (<real> <complex>) <complex> (pure)))
  (declare-virtual-method / (:simple-proc (<integer> <complex>) <complex> (pure)))
  (declare-virtual-method / (:simple-proc (<rational> <complex>) <complex> (pure)))
  (declare-virtual-method / (:simple-proc (<complex> <real>) <complex> (pure)))
  (declare-virtual-method / (:simple-proc (<complex> <integer>) <complex> (pure)))
  (declare-virtual-method / (:simple-proc (<complex> <rational>) <complex> (pure)))

  (declare-method c-sqrt (:simple-proc (<complex>) <complex> (pure)))
  (declare-method c-exp (:simple-proc (<complex>) <complex> (pure)))
  (declare-method c-log (:simple-proc (<complex>) <complex> (pure)))
  (declare-method c-log10 (:simple-proc (<complex>) <complex> (pure)))  
  (declare-method c-expt (:simple-proc (<complex> <complex>) <complex> (pure)))
  (declare-method c-sin (:simple-proc (<complex>) <complex> (pure)))
  (declare-method c-cos (:simple-proc (<complex>) <complex> (pure)))
  (declare-method c-tan (:simple-proc (<complex>) <complex> (pure)))
  (declare-method c-asin (:simple-proc (<complex>) <complex> (pure)))
  (declare-method c-acos (:simple-proc (<complex>) <complex> (pure)))
  (declare-method c-atan (:simple-proc (<complex>) <complex> (pure)))
  (declare-method c-sinh (:simple-proc (<complex>) <complex> (pure)))
  (declare-method c-cosh (:simple-proc (<complex>) <complex> (pure)))
  (declare-method c-tanh (:simple-proc (<complex>) <complex> (pure)))
  (declare-method c-asinh (:simple-proc (<complex>) <complex> (pure)))
  (declare-method c-acosh (:simple-proc (<complex>) <complex> (pure)))
  (declare-method c-atanh (:simple-proc (<complex>) <complex> (pure)))

  (declare-method r-complex-log (:simple-proc (<real>) <complex> pure))
  (declare-method complex-real-expt (:simple-proc (<complex> <real>) <complex> pure))
  (declare-method real-complex-expt (:simple-proc (<real> <complex>) <complex> pure))
  (declare-method r-log-neg (:simple-proc (<real>) <complex> pure))
  (declare-method r-log10-neg (:simple-proc (<real>) <complex> pure))
  (declare-method r-complex-expt (:simple-proc (<real> <real>) <complex> pure))
  (declare-method c-exp2 (:simple-proc (<complex>) <complex> (pure)))
  
  (declare-method c-nonneg-int-expt
	   (:simple-proc (<complex> <integer>) <complex> (pure)))
  (declare-method c-int-expt
	   (:simple-proc (<complex> <integer>) <complex> (pure)))

  (declare-method complex->string
	   (:simple-proc (<complex>) <string> pure))

  (declare-virtual-method object->string
		  (:simple-proc (<complex>) <string> pure)))