cannam@167: (* cannam@167: * Copyright (c) 1997-1999 Massachusetts Institute of Technology cannam@167: * Copyright (c) 2003, 2007-14 Matteo Frigo cannam@167: * Copyright (c) 2003, 2007-14 Massachusetts Institute of Technology cannam@167: * cannam@167: * This program is free software; you can redistribute it and/or modify cannam@167: * it under the terms of the GNU General Public License as published by cannam@167: * the Free Software Foundation; either version 2 of the License, or cannam@167: * (at your option) any later version. cannam@167: * cannam@167: * This program is distributed in the hope that it will be useful, cannam@167: * but WITHOUT ANY WARRANTY; without even the implied warranty of cannam@167: * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the cannam@167: * GNU General Public License for more details. cannam@167: * cannam@167: * You should have received a copy of the GNU General Public License cannam@167: * along with this program; if not, write to the Free Software cannam@167: * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA cannam@167: * cannam@167: *) cannam@167: cannam@167: type expr cannam@167: val make : (Expr.expr * Expr.expr) -> expr cannam@167: val two : expr cannam@167: val one : expr cannam@167: val i : expr cannam@167: val zero : expr cannam@167: val half : expr cannam@167: val inverse_int : int -> expr cannam@167: val inverse_int_sqrt : int -> expr cannam@167: val int_sqrt : int -> expr cannam@167: val times : expr -> expr -> expr cannam@167: val ctimes : expr -> expr -> expr cannam@167: val ctimesj : expr -> expr -> expr cannam@167: val uminus : expr -> expr cannam@167: val exp : int -> int -> expr cannam@167: val sec : int -> int -> expr cannam@167: val csc : int -> int -> expr cannam@167: val tan : int -> int -> expr cannam@167: val cot : int -> int -> expr cannam@167: val plus : expr list -> expr cannam@167: val real : expr -> expr cannam@167: val imag : expr -> expr cannam@167: val conj : expr -> expr cannam@167: val nan : Expr.transcendent -> expr cannam@167: val sigma : int -> int -> (int -> expr) -> expr cannam@167: cannam@167: val (@*) : expr -> expr -> expr cannam@167: val (@+) : expr -> expr -> expr cannam@167: val (@-) : expr -> expr -> expr cannam@167: cannam@167: (* a signal is a map from integers to expressions *) cannam@167: type signal = int -> expr cannam@167: val infinite : int -> signal -> signal cannam@167: cannam@167: val store_real : Variable.variable -> expr -> Expr.expr cannam@167: val store_imag : Variable.variable -> expr -> Expr.expr cannam@167: val store : cannam@167: Variable.variable * Variable.variable -> expr -> Expr.expr * Expr.expr cannam@167: cannam@167: val assign_real : Variable.variable -> expr -> Expr.assignment cannam@167: val assign_imag : Variable.variable -> expr -> Expr.assignment cannam@167: val assign : cannam@167: Variable.variable * Variable.variable -> cannam@167: expr -> Expr.assignment * Expr.assignment cannam@167: cannam@167: val hermitian : int -> (int -> expr) -> int -> expr cannam@167: val antihermitian : int -> (int -> expr) -> int -> expr