cannam@127: (*
cannam@127:  * Copyright (c) 1997-1999 Massachusetts Institute of Technology
cannam@127:  * Copyright (c) 2003, 2007-14 Matteo Frigo
cannam@127:  * Copyright (c) 2003, 2007-14 Massachusetts Institute of Technology
cannam@127:  *
cannam@127:  * This program is free software; you can redistribute it and/or modify
cannam@127:  * it under the terms of the GNU General Public License as published by
cannam@127:  * the Free Software Foundation; either version 2 of the License, or
cannam@127:  * (at your option) any later version.
cannam@127:  *
cannam@127:  * This program is distributed in the hope that it will be useful,
cannam@127:  * but WITHOUT ANY WARRANTY; without even the implied warranty of
cannam@127:  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
cannam@127:  * GNU General Public License for more details.
cannam@127:  *
cannam@127:  * You should have received a copy of the GNU General Public License
cannam@127:  * along with this program; if not, write to the Free Software
cannam@127:  * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301  USA
cannam@127:  *
cannam@127:  *)
cannam@127: 
cannam@127: type expr
cannam@127: val make : (Expr.expr * Expr.expr) -> expr
cannam@127: val two : expr
cannam@127: val one : expr
cannam@127: val i : expr
cannam@127: val zero : expr
cannam@127: val half : expr
cannam@127: val inverse_int : int -> expr
cannam@127: val inverse_int_sqrt : int -> expr
cannam@127: val int_sqrt : int -> expr
cannam@127: val times : expr -> expr -> expr
cannam@127: val ctimes : expr -> expr -> expr
cannam@127: val ctimesj : expr -> expr -> expr
cannam@127: val uminus : expr -> expr
cannam@127: val exp : int -> int -> expr
cannam@127: val sec : int -> int -> expr
cannam@127: val csc : int -> int -> expr
cannam@127: val tan : int -> int -> expr
cannam@127: val cot : int -> int -> expr
cannam@127: val plus : expr list -> expr
cannam@127: val real : expr -> expr
cannam@127: val imag : expr -> expr
cannam@127: val conj : expr -> expr
cannam@127: val nan : Expr.transcendent -> expr
cannam@127: val sigma : int -> int -> (int -> expr) -> expr
cannam@127: 
cannam@127: val (@*) : expr -> expr -> expr
cannam@127: val (@+) : expr -> expr -> expr
cannam@127: val (@-) : expr -> expr -> expr
cannam@127: 
cannam@127: (* a signal is a map from integers to expressions *)
cannam@127: type signal = int -> expr
cannam@127: val infinite : int -> signal -> signal
cannam@127: 
cannam@127: val store_real : Variable.variable -> expr -> Expr.expr
cannam@127: val store_imag : Variable.variable -> expr -> Expr.expr
cannam@127: val store :
cannam@127:   Variable.variable * Variable.variable -> expr -> Expr.expr * Expr.expr
cannam@127: 
cannam@127: val assign_real : Variable.variable -> expr -> Expr.assignment
cannam@127: val assign_imag : Variable.variable -> expr -> Expr.assignment
cannam@127: val assign :
cannam@127:   Variable.variable * Variable.variable ->
cannam@127:   expr -> Expr.assignment * Expr.assignment
cannam@127: 
cannam@127: val hermitian : int -> (int -> expr) -> int -> expr
cannam@127: val antihermitian : int -> (int -> expr) -> int -> expr