numeric_std_unsigned_c.vhdl

-- --------------------------------------------------------------------
--
--
-- Copyright©2006 by the Institute of Electrical and Electronics Engineers, Inc.
-- Three Park Avenue
-- New York, NY 10016-5997, USA
-- All rights reserved.
-- 
-- This document is an unapproved draft of a proposed IEEE Standard. As such,
-- this document is subject to change. USE AT YOUR OWN RISK! Because this
--  is an unapproved draft, this document must not be utilized for any 
-- conformance/compliance purposes. Permission is hereby granted for IEEE 
-- Standards Committee participants to reproduce this document for purposes 
-- of IEEE standardization activities only. Prior to submitting this document 
-- to another standards development organization for standardization 
-- activities, permission must first be obtained from the Manager, Standards 
-- Licensing and Contracts, IEEE Standards Activities Department. Other 
-- entities seeking permission to reproduce this document, in whole or in 
-- part, must obtain permission from the Manager, Standards Licensing and 
-- Contracts, IEEE Standard Activities Department.
--
-- IEEE Standards Activities Department
-- Standards Licensing and Contracts
-- 445 Hoes Lane, P.O. Box 1331
-- Piscataway, NJ 08855-1331, USA

-- --------------------------------------------------------------------
-- Title      : Standard VHDL Synthesis Packages (1076.3, NUMERIC_STD_UNSIGNED)
--
--             This package overloaded the arithmetic operaters for
--             "STD_ULOGIC_VECTOR", and treats this vector like an
--             "UNSIGNED" from "numeric_std".
--
--             This is the updated (proposed) new package to be
--             balloted in January.
--
--             New subprograms are at the end of the package header
--             and the package body. These are to be revised, ID's
--             assigned, and voted into the ballot version.
--              
--             Other changes will be noted here.
--
-- Version: $Revision: 1.1 $
-- Date: $Date: 2006-06-13 15:53:20-04 $
--
--  Created for VHDL-200X-ft, David Bishop (dbishop@vhdl.org) 
-- -----------------------------------------------------------------------------
library IEEE;
use IEEE.STD_LOGIC_1164.all;
package NUMERIC_STD_UNSIGNED is
  constant CopyRightNotice : STRING :=
    "Copyright 2006 IEEE. All rights reserved.";

-- begin LCS-2006-141
  -- Replace all subsequent occurrences of STD_LOGIC_VECTOR
  -- with STD_ULOGIC_ECTOR.
-- end LCS-2006-141
  -- Id: A.3
  function "+" (L, R : STD_ULOGIC_VECTOR) return STD_ULOGIC_VECTOR;
  -- Result subtype: STD_ULOGIC_VECTOR(MAXIMUM(L'LENGTH, R'LENGTH)-1 downto 0).
  -- Result: Adds two UNSIGNED vectors that may be of different lengths.

  -- Id: A.3R
  function "+"(L : STD_ULOGIC_VECTOR; R : STD_ULOGIC) return STD_ULOGIC_VECTOR;
  -- Result subtype: STD_ULOGIC_VECTOR(L'LENGTH-1 downto 0)
  -- Result: Similar to A.3 where R is a one bit STD_ULOGIC_VECTOR

  -- Id: A.3L
  function "+"(L : STD_ULOGIC; R : STD_ULOGIC_VECTOR) return STD_ULOGIC_VECTOR;
  -- Result subtype: STD_ULOGIC_VECTOR(R'LENGTH-1 downto 0)
  -- Result: Similar to A.3 where L is a one bit UNSIGNED

  -- Id: A.5
  function "+" (L : STD_ULOGIC_VECTOR; R : NATURAL) return STD_ULOGIC_VECTOR;
  -- Result subtype: STD_ULOGIC_VECTOR(L'LENGTH-1 downto 0).
  -- Result: Adds an UNSIGNED vector, L, with a non-negative INTEGER, R.

  -- Id: A.6
  function "+" (L : NATURAL; R : STD_ULOGIC_VECTOR) return STD_ULOGIC_VECTOR;
  -- Result subtype: STD_ULOGIC_VECTOR(R'LENGTH-1 downto 0).
  -- Result: Adds a non-negative INTEGER, L, with an UNSIGNED vector, R.

  --============================================================================

  -- Id: A.9
  function "-" (L, R : STD_ULOGIC_VECTOR) return STD_ULOGIC_VECTOR;
  -- Result subtype: UNSIGNED(MAXIMUM(L'LENGTH, R'LENGTH)-1 downto 0).
  -- Result: Subtracts two UNSIGNED vectors that may be of different lengths.

  -- Id: A.9R
  function "-"(L : STD_ULOGIC_VECTOR; R : STD_ULOGIC) return STD_ULOGIC_VECTOR;
  -- Result subtype: STD_ULOGIC_VECTOR(L'LENGTH-1 downto 0)
  -- Result: Similar to A.9 where R is a one bit UNSIGNED

  -- Id: A.9L
  function "-"(L : STD_ULOGIC; R : STD_ULOGIC_VECTOR) return STD_ULOGIC_VECTOR;
  -- Result subtype: STD_ULOGIC_VECTOR(R'LENGTH-1 downto 0)
  -- Result: Similar to A.9 where L is a one bit UNSIGNED

  -- Id: A.11
  function "-" (L : STD_ULOGIC_VECTOR; R : NATURAL) return STD_ULOGIC_VECTOR;
  -- Result subtype: STD_ULOGIC_VECTOR(L'LENGTH-1 downto 0).
  -- Result: Subtracts a non-negative INTEGER, R, from an UNSIGNED vector, L.

  -- Id: A.12
  function "-" (L : NATURAL; R : STD_ULOGIC_VECTOR) return STD_ULOGIC_VECTOR;
  -- Result subtype: STD_ULOGIC_VECTOR(R'LENGTH-1 downto 0).
  -- Result: Subtracts an UNSIGNED vector, R, from a non-negative INTEGER, L.

  --============================================================================

  -- Id: A.15
  function "*" (L, R : STD_ULOGIC_VECTOR) return STD_ULOGIC_VECTOR;
  -- Result subtype: STD_ULOGIC_VECTOR((L'LENGTH+R'LENGTH-1) downto 0).
  -- Result: Performs the multiplication operation on two UNSIGNED vectors
  --         that may possibly be of different lengths.

  -- Id: A.17
  function "*" (L : STD_ULOGIC_VECTOR; R : NATURAL) return STD_ULOGIC_VECTOR;
  -- Result subtype: STD_ULOGIC_VECTOR((L'LENGTH+L'LENGTH-1) downto 0).
  -- Result: Multiplies an UNSIGNED vector, L, with a non-negative
  --         INTEGER, R. R is converted to an UNSIGNED vector of
  --         SIZE L'LENGTH before multiplication.

  -- Id: A.18
  function "*" (L : NATURAL; R : STD_ULOGIC_VECTOR) return STD_ULOGIC_VECTOR;
  -- Result subtype: STD_ULOGIC_VECTOR((R'LENGTH+R'LENGTH-1) downto 0).
  -- Result: Multiplies an UNSIGNED vector, R, with a non-negative
  --         INTEGER, L. L is converted to an UNSIGNED vector of
  --         SIZE R'LENGTH before multiplication.

  --============================================================================
  --
  -- NOTE: If second argument is zero for "/" operator, a severity level
  --       of ERROR is issued.

  -- Id: A.21
  function "/" (L, R : STD_ULOGIC_VECTOR) return STD_ULOGIC_VECTOR;
  -- Result subtype: STD_ULOGIC_VECTOR(L'LENGTH-1 downto 0)
  -- Result: Divides an UNSIGNED vector, L, by another UNSIGNED vector, R.

  -- Id: A.23
  function "/" (L : STD_ULOGIC_VECTOR; R : NATURAL) return STD_ULOGIC_VECTOR;
  -- Result subtype: STD_ULOGIC_VECTOR(L'LENGTH-1 downto 0)
  -- Result: Divides an UNSIGNED vector, L, by a non-negative INTEGER, R.
  --         If NO_OF_BITS(R) > L'LENGTH, result is truncated to L'LENGTH.

  -- Id: A.24
  function "/" (L : NATURAL; R : STD_ULOGIC_VECTOR) return STD_ULOGIC_VECTOR;
  -- Result subtype: STD_ULOGIC_VECTOR(R'LENGTH-1 downto 0)
  -- Result: Divides a non-negative INTEGER, L, by an UNSIGNED vector, R.
  --         If NO_OF_BITS(L) > R'LENGTH, result is truncated to R'LENGTH.

  --============================================================================
  --
  -- NOTE: If second argument is zero for "rem" operator, a severity level
  --       of ERROR is issued.

  -- Id: A.27
  function "rem" (L, R : STD_ULOGIC_VECTOR) return STD_ULOGIC_VECTOR;
  -- Result subtype: STD_ULOGIC_VECTOR(R'LENGTH-1 downto 0)
  -- Result: Computes "L rem R" where L and R are UNSIGNED vectors.

  -- Id: A.29
  function "rem" (L : STD_ULOGIC_VECTOR; R : NATURAL) return STD_ULOGIC_VECTOR;
  -- Result subtype: STD_ULOGIC_VECTOR(L'LENGTH-1 downto 0)
  -- Result: Computes "L rem R" where L is an UNSIGNED vector and R is a
  --         non-negative INTEGER.
  --         If NO_OF_BITS(R) > L'LENGTH, result is truncated to L'LENGTH.

  -- Id: A.30
  function "rem" (L : NATURAL; R : STD_ULOGIC_VECTOR) return STD_ULOGIC_VECTOR;
  -- Result subtype: STD_ULOGIC_VECTOR(R'LENGTH-1 downto 0)
  -- Result: Computes "L rem R" where R is an UNSIGNED vector and L is a
  --         non-negative INTEGER.
  --         If NO_OF_BITS(L) > R'LENGTH, result is truncated to R'LENGTH.

  --============================================================================
  --
  -- NOTE: If second argument is zero for "mod" operator, a severity level
  --       of ERROR is issued.

  -- Id: A.33
  function "mod" (L, R : STD_ULOGIC_VECTOR) return STD_ULOGIC_VECTOR;
  -- Result subtype: STD_ULOGIC_VECTOR(R'LENGTH-1 downto 0)
  -- Result: Computes "L mod R" where L and R are UNSIGNED vectors.

  -- Id: A.35
  function "mod" (L : STD_ULOGIC_VECTOR; R : NATURAL) return STD_ULOGIC_VECTOR;
  -- Result subtype: STD_ULOGIC_VECTOR(L'LENGTH-1 downto 0)
  -- Result: Computes "L mod R" where L is an UNSIGNED vector and R
  --         is a non-negative INTEGER.
  --         If NO_OF_BITS(R) > L'LENGTH, result is truncated to L'LENGTH.

  -- Id: A.36
  function "mod" (L : NATURAL; R : STD_ULOGIC_VECTOR) return STD_ULOGIC_VECTOR;
  -- Result subtype: STD_ULOGIC_VECTOR(R'LENGTH-1 downto 0)
  -- Result: Computes "L mod R" where R is an UNSIGNED vector and L
  --         is a non-negative INTEGER.
  --         If NO_OF_BITS(L) > R'LENGTH, result is truncated to R'LENGTH.

-- begin LCS-2006-129
  --============================================================================
  -- Id: A.39
  function find_leftmost (ARG : STD_ULOGIC_VECTOR; Y : STD_ULOGIC) return INTEGER;
  -- Result subtype: INTEGER
  -- Result: Finds the leftmost occurrence of the value of Y in ARG.
  --         Returns the index of the occurrence if it exists, or -1 otherwise.

  -- Id: A.41
  function find_rightmost (ARG : STD_ULOGIC_VECTOR; Y : STD_ULOGIC) return INTEGER;
  -- Result subtype: INTEGER
  -- Result: Finds the leftmost occurrence of the value of Y in ARG.
  --         Returns the index of the occurrence if it exists, or -1 otherwise.

-- end LCS-2006-129
  --============================================================================
  -- Comparison Operators
  --============================================================================

  -- Id: C.1
  function ">" (L, R : STD_ULOGIC_VECTOR) return BOOLEAN;
  -- Result subtype: BOOLEAN
  -- Result: Computes "L > R" where L and R are UNSIGNED vectors possibly
  --         of different lengths.

  -- Id: C.3
  function ">" (L : NATURAL; R : STD_ULOGIC_VECTOR) return BOOLEAN;
  -- Result subtype: BOOLEAN
  -- Result: Computes "L > R" where L is a non-negative INTEGER and
  --         R is an UNSIGNED vector.

  -- Id: C.5
  function ">" (L : STD_ULOGIC_VECTOR; R : NATURAL) return BOOLEAN;
  -- Result subtype: BOOLEAN
  -- Result: Computes "L > R" where L is an UNSIGNED vector and
  --         R is a non-negative INTEGER.

  --============================================================================

  -- Id: C.7
  function "<" (L, R : STD_ULOGIC_VECTOR) return BOOLEAN;
  -- Result subtype: BOOLEAN
  -- Result: Computes "L < R" where L and R are UNSIGNED vectors possibly
  --         of different lengths.

  -- Id: C.9
  function "<" (L : NATURAL; R : STD_ULOGIC_VECTOR) return BOOLEAN;
  -- Result subtype: BOOLEAN
  -- Result: Computes "L < R" where L is a non-negative INTEGER and
  --         R is an UNSIGNED vector.

  -- Id: C.11
  function "<" (L : STD_ULOGIC_VECTOR; R : NATURAL) return BOOLEAN;
  -- Result subtype: BOOLEAN
  -- Result: Computes "L < R" where L is an UNSIGNED vector and
  --         R is a non-negative INTEGER.

  --============================================================================

  -- Id: C.13
  function "<=" (L, R : STD_ULOGIC_VECTOR) return BOOLEAN;
  -- Result subtype: BOOLEAN
  -- Result: Computes "L <= R" where L and R are UNSIGNED vectors possibly
  --         of different lengths.

  -- Id: C.15
  function "<=" (L : NATURAL; R : STD_ULOGIC_VECTOR) return BOOLEAN;
  -- Result subtype: BOOLEAN
  -- Result: Computes "L <= R" where L is a non-negative INTEGER and
  --         R is an UNSIGNED vector.

  -- Id: C.17
  function "<=" (L : STD_ULOGIC_VECTOR; R : NATURAL) return BOOLEAN;
  -- Result subtype: BOOLEAN
  -- Result: Computes "L <= R" where L is an UNSIGNED vector and
  --         R is a non-negative INTEGER.

  --============================================================================

  -- Id: C.19
  function ">=" (L, R : STD_ULOGIC_VECTOR) return BOOLEAN;
  -- Result subtype: BOOLEAN
  -- Result: Computes "L >= R" where L and R are UNSIGNED vectors possibly
  --         of different lengths.

  -- Id: C.21
  function ">=" (L : NATURAL; R : STD_ULOGIC_VECTOR) return BOOLEAN;
  -- Result subtype: BOOLEAN
  -- Result: Computes "L >= R" where L is a non-negative INTEGER and
  --         R is an UNSIGNED vector.

  -- Id: C.23
  function ">=" (L : STD_ULOGIC_VECTOR; R : NATURAL) return BOOLEAN;
  -- Result subtype: BOOLEAN
  -- Result: Computes "L >= R" where L is an UNSIGNED vector and
  --         R is a non-negative INTEGER.

  --============================================================================

  -- Id: C.25
  function "=" (L, R : STD_ULOGIC_VECTOR) return BOOLEAN;
  -- Result subtype: BOOLEAN
  -- Result: Computes "L = R" where L and R are UNSIGNED vectors possibly
  --         of different lengths.

  -- Id: C.27
  function "=" (L : NATURAL; R : STD_ULOGIC_VECTOR) return BOOLEAN;
  -- Result subtype: BOOLEAN
  -- Result: Computes "L = R" where L is a non-negative INTEGER and
  --         R is an UNSIGNED vector.

  -- Id: C.29
  function "=" (L : STD_ULOGIC_VECTOR; R : NATURAL) return BOOLEAN;
  -- Result subtype: BOOLEAN
  -- Result: Computes "L = R" where L is an UNSIGNED vector and
  --         R is a non-negative INTEGER.

  --============================================================================

  -- Id: C.31
  function "/=" (L, R : STD_ULOGIC_VECTOR) return BOOLEAN;
  -- Result subtype: BOOLEAN
  -- Result: Computes "L /= R" where L and R are UNSIGNED vectors possibly
  --         of different lengths.

  -- Id: C.33
  function "/=" (L : NATURAL; R : STD_ULOGIC_VECTOR) return BOOLEAN;
  -- Result subtype: BOOLEAN
  -- Result: Computes "L /= R" where L is a non-negative INTEGER and
  --         R is an UNSIGNED vector.

  -- Id: C.35
  function "/=" (L : STD_ULOGIC_VECTOR; R : NATURAL) return BOOLEAN;
  -- Result subtype: BOOLEAN
  -- Result: Computes "L /= R" where L is an UNSIGNED vector and
  --         R is a non-negative INTEGER.

  --============================================================================

  -- Id: C.37
  function MINIMUM (L, R : STD_ULOGIC_VECTOR) return STD_ULOGIC_VECTOR;
  -- Result subtype: STD_ULOGIC_VECTOR
  -- Result: Returns the lesser of two UNSIGNED vectors that may be
  --         of different lengths.

  -- Id: C.39
  function MINIMUM (L : NATURAL; R : STD_ULOGIC_VECTOR) return STD_ULOGIC_VECTOR;
  -- Result subtype: STD_ULOGIC_VECTOR
  -- Result: Returns the lesser of a nonnegative INTEGER, L, and
  --         an UNSIGNED vector, R.

  -- Id: C.41
  function MINIMUM (L : STD_ULOGIC_VECTOR; R : NATURAL) return STD_ULOGIC_VECTOR;
  -- Result subtype: STD_ULOGIC_VECTOR
  -- Result: Returns the lesser of an UNSIGNED vector, L, and
  --         a nonnegative INTEGER, R.

  --============================================================================

  -- Id: C.43
  function MAXIMUM (L, R : STD_ULOGIC_VECTOR) return STD_ULOGIC_VECTOR;
  -- Result subtype: STD_ULOGIC_VECTOR
  -- Result: Returns the greater of two UNSIGNED vectors that may be
  --         of different lengths.

  -- Id: C.45
  function MAXIMUM (L : NATURAL; R : STD_ULOGIC_VECTOR) return STD_ULOGIC_VECTOR;
  -- Result subtype: STD_ULOGIC_VECTOR
  -- Result: Returns the greater of a nonnegative INTEGER, L, and
  --         an UNSIGNED vector, R.

  -- Id: C.47
  function MAXIMUM (L : STD_ULOGIC_VECTOR; R : NATURAL) return STD_ULOGIC_VECTOR;
  -- Result subtype: STD_ULOGIC_VECTOR
  -- Result: Returns the greater of an UNSIGNED vector, L, and
  --         a nonnegative INTEGER, R.

  --============================================================================
  -- Id: C.49
  function \?>\ (L, R : STD_ULOGIC_VECTOR) return STD_ULOGIC;
  -- Result subtype: STD_ULOGIC
  -- Result: Computes "L > R" where L and R are UNSIGNED vectors possibly
  --         of different lengths.

  -- Id: C.51
  function \?>\ (L : NATURAL; R : STD_ULOGIC_VECTOR) return STD_ULOGIC;
  -- Result subtype: STD_ULOGIC
  -- Result: Computes "L > R" where L is a nonnegative INTEGER and
  --         R is an UNSIGNED vector.

  -- Id: C.53
  function \?>\ (L : STD_ULOGIC_VECTOR; R : NATURAL) return STD_ULOGIC;
  -- Result subtype: STD_ULOGIC
  -- Result: Computes "L > R" where L is an UNSIGNED vector and
  --         R is a nonnegative INTEGER.

  --============================================================================

  -- Id: C.55
  function \?<\ (L, R : STD_ULOGIC_VECTOR) return STD_ULOGIC;
  -- Result subtype: STD_ULOGIC
  -- Result: Computes "L < R" where L and R are UNSIGNED vectors possibly
  --         of different lengths.

  -- Id: C.57
  function \?<\ (L : NATURAL; R : STD_ULOGIC_VECTOR) return STD_ULOGIC;
  -- Result subtype: STD_ULOGIC
  -- Result: Computes "L < R" where L is a nonnegative INTEGER and
  --         R is an UNSIGNED vector.

  -- Id: C.59
  function \?<\ (L : STD_ULOGIC_VECTOR; R : NATURAL) return STD_ULOGIC;
  -- Result subtype: STD_ULOGIC
  -- Result: Computes "L < R" where L is an UNSIGNED vector and
  --         R is a nonnegative INTEGER.

  --============================================================================

  -- Id: C.61
  function \?<=\ (L, R : STD_ULOGIC_VECTOR) return STD_ULOGIC;
  -- Result subtype: STD_ULOGIC
  -- Result: Computes "L <= R" where L and R are UNSIGNED vectors possibly
  --         of different lengths.

  -- Id: C.63
  function \?<=\ (L : NATURAL; R : STD_ULOGIC_VECTOR) return STD_ULOGIC;
  -- Result subtype: STD_ULOGIC
  -- Result: Computes "L <= R" where L is a nonnegative INTEGER and
  --         R is an UNSIGNED vector.

  -- Id: C.65
  function \?<=\ (L : STD_ULOGIC_VECTOR; R : NATURAL) return STD_ULOGIC;
  -- Result subtype: STD_ULOGIC
  -- Result: Computes "L <= R" where L is an UNSIGNED vector and
  --         R is a nonnegative INTEGER.

  --============================================================================

  -- Id: C.67
  function \?>=\ (L, R : STD_ULOGIC_VECTOR) return STD_ULOGIC;
  -- Result subtype: STD_ULOGIC
  -- Result: Computes "L >= R" where L and R are UNSIGNED vectors possibly
  --         of different lengths.

  -- Id: C.69
  function \?>=\ (L : NATURAL; R : STD_ULOGIC_VECTOR) return STD_ULOGIC;
  -- Result subtype: STD_ULOGIC
  -- Result: Computes "L >= R" where L is a nonnegative INTEGER and
  --         R is an UNSIGNED vector.

  -- Id: C.71
  function \?>=\ (L : STD_ULOGIC_VECTOR; R : NATURAL) return STD_ULOGIC;
  -- Result subtype: STD_ULOGIC
  -- Result: Computes "L >= R" where L is an UNSIGNED vector and
  --         R is a nonnegative INTEGER.

  --============================================================================

  -- Id: C.73
  function \?=\ (L, R : STD_ULOGIC_VECTOR) return STD_ULOGIC;
  -- Result subtype: STD_ULOGIC
  -- Result: Computes "L = R" where L and R are UNSIGNED vectors possibly
  --         of different lengths.

  -- Id: C.75
  function \?=\ (L : NATURAL; R : STD_ULOGIC_VECTOR) return STD_ULOGIC;
  -- Result subtype: STD_ULOGIC
  -- Result: Computes "L = R" where L is a nonnegative INTEGER and
  --         R is an UNSIGNED vector.

  -- Id: C.77
  function \?=\ (L : STD_ULOGIC_VECTOR; R : NATURAL) return STD_ULOGIC;
  -- Result subtype: STD_ULOGIC
  -- Result: Computes "L = R" where L is an UNSIGNED vector and
  --         R is a nonnegative INTEGER.

  --============================================================================

  -- Id: C.79
  function \?/=\ (L, R : STD_ULOGIC_VECTOR) return STD_ULOGIC;
  -- Result subtype: STD_ULOGIC
  -- Result: Computes "L /= R" where L and R are UNSIGNED vectors possibly
  --         of different lengths.

  -- Id: C.81
  function \?/=\ (L : NATURAL; R : STD_ULOGIC_VECTOR) return STD_ULOGIC;
  -- Result subtype: STD_ULOGIC
  -- Result: Computes "L /= R" where L is a nonnegative INTEGER and
  --         R is an UNSIGNED vector.

  -- Id: C.83
  function \?/=\ (L : STD_ULOGIC_VECTOR; R : NATURAL) return STD_ULOGIC;
  -- Result subtype: STD_ULOGIC
  -- Result: Computes "L /= R" where L is an UNSIGNED vector and
  --         R is a nonnegative INTEGER.

  --============================================================================
  -- Shift and Rotate Functions
  --============================================================================

  -- Id: S.1
  function SHIFT_LEFT (ARG : STD_ULOGIC_VECTOR; COUNT : NATURAL)
    return STD_ULOGIC_VECTOR;
  -- Result subtype: STD_ULOGIC_VECTOR(ARG'LENGTH-1 downto 0)
  -- Result: Performs a shift-left on an UNSIGNED vector COUNT times.
  --         The vacated positions are filled with '0'.
  --         The COUNT leftmost elements are lost.

  -- Id: S.2
  function SHIFT_RIGHT (ARG : STD_ULOGIC_VECTOR; COUNT : NATURAL)
    return STD_ULOGIC_VECTOR;
  -- Result subtype: UNSIGNED(ARG'LENGTH-1 downto 0)
  -- Result: Performs a shift-right on an UNSIGNED vector COUNT times.
  --         The vacated positions are filled with '0'.
  --         The COUNT rightmost elements are lost.
  --============================================================================

  -- Id: S.5
  function ROTATE_LEFT (ARG : STD_ULOGIC_VECTOR; COUNT : NATURAL)
    return STD_ULOGIC_VECTOR;
  -- Result subtype: STD_ULOGIC_VECTOR(ARG'LENGTH-1 downto 0)
  -- Result: Performs a rotate-left of an UNSIGNED vector COUNT times.

  -- Id: S.6
  function ROTATE_RIGHT (ARG : STD_ULOGIC_VECTOR; COUNT : NATURAL)
    return STD_ULOGIC_VECTOR;
  -- Result subtype: STD_ULOGIC_VECTOR(ARG'LENGTH-1 downto 0)
  -- Result: Performs a rotate-right of an UNSIGNED vector COUNT times.

  ------------------------------------------------------------------------------
  -- Note: Function S.17 is not compatible with IEEE Std 1076-1987. Comment
  -- out the function (declaration and body) for IEEE Std 1076-1987 compatibility.
  ------------------------------------------------------------------------------
  -- Id: S.17
  function "sla" (ARG : STD_ULOGIC_VECTOR; COUNT : INTEGER) return STD_ULOGIC_VECTOR;
  -- Result subtype: STD_ULOGIC_VECTOR(ARG'LENGTH-1 downto 0)
  -- Result: SHIFT_LEFT(ARG, COUNT)

  ------------------------------------------------------------------------------
  -- Note: Function S.19 is not compatible with IEEE Std 1076-1987. Comment
  -- out the function (declaration and body) for IEEE Std 1076-1987 compatibility.
  ------------------------------------------------------------------------------
  -- Id: S.19
  function "sra" (ARG : STD_ULOGIC_VECTOR; COUNT : INTEGER) return STD_ULOGIC_VECTOR;
  -- Result subtype: STD_ULOGIC_VECTOR(ARG'LENGTH-1 downto 0)
  -- Result: SHIFT_RIGHT(ARG, COUNT)


  --============================================================================
  --   RESIZE Functions
  --============================================================================

  -- Id: R.2
  function RESIZE (ARG : STD_ULOGIC_VECTOR; NEW_SIZE : NATURAL)
    return STD_ULOGIC_VECTOR;
  -- Result subtype: STD_ULOGIC_VECTOR(NEW_SIZE-1 downto 0)
  -- Result: Resizes the UNSIGNED vector ARG to the specified size.
  --         To create a larger vector, the new [leftmost] bit positions
  --         are filled with '0'. When truncating, the leftmost bits
  --         are dropped.

  --============================================================================
  -- Conversion Functions
  --============================================================================

  -- Id: D.1
  function TO_INTEGER (ARG : STD_ULOGIC_VECTOR) return NATURAL;
  -- Result subtype: NATURAL. Value cannot be negative since parameter is an
  --             UNSIGNED vector.
  -- Result: Converts the UNSIGNED vector to an INTEGER.

  -- Id: D.3
  function To_StdLogicVector (ARG, SIZE : NATURAL) return STD_LOGIC_VECTOR;
  -- Result subtype: STD_LOGIC_VECTOR(SIZE-1 downto 0)
  -- Result: Converts a non-negative INTEGER to an UNSIGNED vector with
  --         the specified SIZE.

-- begin LCS-2006-130
  alias To_Std_Logic_Vector is
    To_StdLogicVector[NATURAL, NATURAL return STD_LOGIC_VECTOR];
  alias To_SLV is
    To_StdLogicVector[NATURAL, NATURAL return STD_LOGIC_VECTOR];

-- end LCS-2006-130
  -- Id: D.5
  function To_StdULogicVector (ARG, SIZE : NATURAL) return STD_ULOGIC_VECTOR;
  -- Result subtype: STD_ULOGIC_VECTOR(SIZE-1 downto 0)
  -- Result: Converts a non-negative INTEGER to an UNSIGNED vector with
  --         the specified SIZE.

-- begin LCS-2006-130
  alias To_Std_ULogic_Vector is
    To_StdULogicVector[NATURAL, NATURAL return STD_ULOGIC_VECTOR];
  alias To_SUV is
    To_StdULogicVector[NATURAL, NATURAL return STD_ULOGIC_VECTOR];

-- end LCS-2006-130
  --============================================================================
  -- Translation Functions
  --============================================================================

  -- Id: T.1
  function TO_01 (S : STD_ULOGIC_VECTOR; XMAP : STD_ULOGIC := '0')
    return STD_ULOGIC_VECTOR;
  -- Result subtype: STD_ULOGIC_VECTOR(S'RANGE)
  -- Result: Termwise, 'H' is translated to '1', and 'L' is translated
  --         to '0'. If a value other than '0'|'1'|'H'|'L' is found,
  --         the array is set to (others => XMAP), and a warning is
  --         issued.
-- begin LCS-2006-141
  -- Replace all subsequent occurrences of STD_LOGIC_VECTOR
  -- with STD_ULOGIC_ECTOR.
-- end LCS-2006-141
  -- Id: A.3
  function "+" (L, R : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR;
  -- Result subtype: STD_LOGIC_VECTOR(MAXIMUM(L'LENGTH, R'LENGTH)-1 downto 0).
  -- Result: Adds two UNSIGNED vectors that may be of different lengths.

  -- Id: A.3R
  function "+"(L : STD_LOGIC_VECTOR; R : STD_ULOGIC) return STD_LOGIC_VECTOR;
  -- Result subtype: STD_LOGIC_VECTOR(L'LENGTH-1 downto 0)
  -- Result: Similar to A.3 where R is a one bit STD_LOGIC_VECTOR

  -- Id: A.3L
  function "+"(L : STD_ULOGIC; R : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR;
  -- Result subtype: STD_LOGIC_VECTOR(R'LENGTH-1 downto 0)
  -- Result: Similar to A.3 where L is a one bit UNSIGNED

  -- Id: A.5
  function "+" (L : STD_LOGIC_VECTOR; R : NATURAL) return STD_LOGIC_VECTOR;
  -- Result subtype: STD_LOGIC_VECTOR(L'LENGTH-1 downto 0).
  -- Result: Adds an UNSIGNED vector, L, with a non-negative INTEGER, R.

  -- Id: A.6
  function "+" (L : NATURAL; R : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR;
  -- Result subtype: STD_LOGIC_VECTOR(R'LENGTH-1 downto 0).
  -- Result: Adds a non-negative INTEGER, L, with an UNSIGNED vector, R.

  --============================================================================

  -- Id: A.9
  function "-" (L, R : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR;
  -- Result subtype: UNSIGNED(MAXIMUM(L'LENGTH, R'LENGTH)-1 downto 0).
  -- Result: Subtracts two UNSIGNED vectors that may be of different lengths.

  -- Id: A.9R
  function "-"(L : STD_LOGIC_VECTOR; R : STD_ULOGIC) return STD_LOGIC_VECTOR;
  -- Result subtype: STD_LOGIC_VECTOR(L'LENGTH-1 downto 0)
  -- Result: Similar to A.9 where R is a one bit UNSIGNED

  -- Id: A.9L
  function "-"(L : STD_ULOGIC; R : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR;
  -- Result subtype: STD_LOGIC_VECTOR(R'LENGTH-1 downto 0)
  -- Result: Similar to A.9 where L is a one bit UNSIGNED

  -- Id: A.11
  function "-" (L : STD_LOGIC_VECTOR; R : NATURAL) return STD_LOGIC_VECTOR;
  -- Result subtype: STD_LOGIC_VECTOR(L'LENGTH-1 downto 0).
  -- Result: Subtracts a non-negative INTEGER, R, from an UNSIGNED vector, L.

  -- Id: A.12
  function "-" (L : NATURAL; R : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR;
  -- Result subtype: STD_LOGIC_VECTOR(R'LENGTH-1 downto 0).
  -- Result: Subtracts an UNSIGNED vector, R, from a non-negative INTEGER, L.

  --============================================================================

  -- Id: A.15
  function "*" (L, R : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR;
  -- Result subtype: STD_LOGIC_VECTOR((L'LENGTH+R'LENGTH-1) downto 0).
  -- Result: Performs the multiplication operation on two UNSIGNED vectors
  --         that may possibly be of different lengths.

  -- Id: A.17
  function "*" (L : STD_LOGIC_VECTOR; R : NATURAL) return STD_LOGIC_VECTOR;
  -- Result subtype: STD_LOGIC_VECTOR((L'LENGTH+L'LENGTH-1) downto 0).
  -- Result: Multiplies an UNSIGNED vector, L, with a non-negative
  --         INTEGER, R. R is converted to an UNSIGNED vector of
  --         SIZE L'LENGTH before multiplication.

  -- Id: A.18
  function "*" (L : NATURAL; R : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR;
  -- Result subtype: STD_LOGIC_VECTOR((R'LENGTH+R'LENGTH-1) downto 0).
  -- Result: Multiplies an UNSIGNED vector, R, with a non-negative
  --         INTEGER, L. L is converted to an UNSIGNED vector of
  --         SIZE R'LENGTH before multiplication.

  --============================================================================
  --
  -- NOTE: If second argument is zero for "/" operator, a severity level
  --       of ERROR is issued.

  -- Id: A.21
  function "/" (L, R : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR;
  -- Result subtype: STD_LOGIC_VECTOR(L'LENGTH-1 downto 0)
  -- Result: Divides an UNSIGNED vector, L, by another UNSIGNED vector, R.

  -- Id: A.23
  function "/" (L : STD_LOGIC_VECTOR; R : NATURAL) return STD_LOGIC_VECTOR;
  -- Result subtype: STD_LOGIC_VECTOR(L'LENGTH-1 downto 0)
  -- Result: Divides an UNSIGNED vector, L, by a non-negative INTEGER, R.
  --         If NO_OF_BITS(R) > L'LENGTH, result is truncated to L'LENGTH.

  -- Id: A.24
  function "/" (L : NATURAL; R : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR;
  -- Result subtype: STD_LOGIC_VECTOR(R'LENGTH-1 downto 0)
  -- Result: Divides a non-negative INTEGER, L, by an UNSIGNED vector, R.
  --         If NO_OF_BITS(L) > R'LENGTH, result is truncated to R'LENGTH.

  --============================================================================
  --
  -- NOTE: If second argument is zero for "rem" operator, a severity level
  --       of ERROR is issued.

  -- Id: A.27
  function "rem" (L, R : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR;
  -- Result subtype: STD_LOGIC_VECTOR(R'LENGTH-1 downto 0)
  -- Result: Computes "L rem R" where L and R are UNSIGNED vectors.

  -- Id: A.29
  function "rem" (L : STD_LOGIC_VECTOR; R : NATURAL) return STD_LOGIC_VECTOR;
  -- Result subtype: STD_LOGIC_VECTOR(L'LENGTH-1 downto 0)
  -- Result: Computes "L rem R" where L is an UNSIGNED vector and R is a
  --         non-negative INTEGER.
  --         If NO_OF_BITS(R) > L'LENGTH, result is truncated to L'LENGTH.

  -- Id: A.30
  function "rem" (L : NATURAL; R : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR;
  -- Result subtype: STD_LOGIC_VECTOR(R'LENGTH-1 downto 0)
  -- Result: Computes "L rem R" where R is an UNSIGNED vector and L is a
  --         non-negative INTEGER.
  --         If NO_OF_BITS(L) > R'LENGTH, result is truncated to R'LENGTH.

  --============================================================================
  --
  -- NOTE: If second argument is zero for "mod" operator, a severity level
  --       of ERROR is issued.

  -- Id: A.33
  function "mod" (L, R : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR;
  -- Result subtype: STD_LOGIC_VECTOR(R'LENGTH-1 downto 0)
  -- Result: Computes "L mod R" where L and R are UNSIGNED vectors.

  -- Id: A.35
  function "mod" (L : STD_LOGIC_VECTOR; R : NATURAL) return STD_LOGIC_VECTOR;
  -- Result subtype: STD_LOGIC_VECTOR(L'LENGTH-1 downto 0)
  -- Result: Computes "L mod R" where L is an UNSIGNED vector and R
  --         is a non-negative INTEGER.
  --         If NO_OF_BITS(R) > L'LENGTH, result is truncated to L'LENGTH.

  -- Id: A.36
  function "mod" (L : NATURAL; R : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR;
  -- Result subtype: STD_LOGIC_VECTOR(R'LENGTH-1 downto 0)
  -- Result: Computes "L mod R" where R is an UNSIGNED vector and L
  --         is a non-negative INTEGER.
  --         If NO_OF_BITS(L) > R'LENGTH, result is truncated to R'LENGTH.

-- begin LCS-2006-129
  --============================================================================
  -- Id: A.39
  function find_leftmost (ARG : STD_LOGIC_VECTOR; Y : STD_ULOGIC) return INTEGER;
  -- Result subtype: INTEGER
  -- Result: Finds the leftmost occurrence of the value of Y in ARG.
  --         Returns the index of the occurrence if it exists, or -1 otherwise.

  -- Id: A.41
  function find_rightmost (ARG : STD_LOGIC_VECTOR; Y : STD_ULOGIC) return INTEGER;
  -- Result subtype: INTEGER
  -- Result: Finds the leftmost occurrence of the value of Y in ARG.
  --         Returns the index of the occurrence if it exists, or -1 otherwise.

-- end LCS-2006-129
  --============================================================================
  -- Comparison Operators
  --============================================================================

  -- Id: C.1
  function ">" (L, R : STD_LOGIC_VECTOR) return BOOLEAN;
  -- Result subtype: BOOLEAN
  -- Result: Computes "L > R" where L and R are UNSIGNED vectors possibly
  --         of different lengths.

  -- Id: C.3
  function ">" (L : NATURAL; R : STD_LOGIC_VECTOR) return BOOLEAN;
  -- Result subtype: BOOLEAN
  -- Result: Computes "L > R" where L is a non-negative INTEGER and
  --         R is an UNSIGNED vector.

  -- Id: C.5
  function ">" (L : STD_LOGIC_VECTOR; R : NATURAL) return BOOLEAN;
  -- Result subtype: BOOLEAN
  -- Result: Computes "L > R" where L is an UNSIGNED vector and
  --         R is a non-negative INTEGER.

  --============================================================================

  -- Id: C.7
  function "<" (L, R : STD_LOGIC_VECTOR) return BOOLEAN;
  -- Result subtype: BOOLEAN
  -- Result: Computes "L < R" where L and R are UNSIGNED vectors possibly
  --         of different lengths.

  -- Id: C.9
  function "<" (L : NATURAL; R : STD_LOGIC_VECTOR) return BOOLEAN;
  -- Result subtype: BOOLEAN
  -- Result: Computes "L < R" where L is a non-negative INTEGER and
  --         R is an UNSIGNED vector.

  -- Id: C.11
  function "<" (L : STD_LOGIC_VECTOR; R : NATURAL) return BOOLEAN;
  -- Result subtype: BOOLEAN
  -- Result: Computes "L < R" where L is an UNSIGNED vector and
  --         R is a non-negative INTEGER.

  --============================================================================

  -- Id: C.13
  function "<=" (L, R : STD_LOGIC_VECTOR) return BOOLEAN;
  -- Result subtype: BOOLEAN
  -- Result: Computes "L <= R" where L and R are UNSIGNED vectors possibly
  --         of different lengths.

  -- Id: C.15
  function "<=" (L : NATURAL; R : STD_LOGIC_VECTOR) return BOOLEAN;
  -- Result subtype: BOOLEAN
  -- Result: Computes "L <= R" where L is a non-negative INTEGER and
  --         R is an UNSIGNED vector.

  -- Id: C.17
  function "<=" (L : STD_LOGIC_VECTOR; R : NATURAL) return BOOLEAN;
  -- Result subtype: BOOLEAN
  -- Result: Computes "L <= R" where L is an UNSIGNED vector and
  --         R is a non-negative INTEGER.

  --============================================================================

  -- Id: C.19
  function ">=" (L, R : STD_LOGIC_VECTOR) return BOOLEAN;
  -- Result subtype: BOOLEAN
  -- Result: Computes "L >= R" where L and R are UNSIGNED vectors possibly
  --         of different lengths.

  -- Id: C.21
  function ">=" (L : NATURAL; R : STD_LOGIC_VECTOR) return BOOLEAN;
  -- Result subtype: BOOLEAN
  -- Result: Computes "L >= R" where L is a non-negative INTEGER and
  --         R is an UNSIGNED vector.

  -- Id: C.23
  function ">=" (L : STD_LOGIC_VECTOR; R : NATURAL) return BOOLEAN;
  -- Result subtype: BOOLEAN
  -- Result: Computes "L >= R" where L is an UNSIGNED vector and
  --         R is a non-negative INTEGER.

  --============================================================================

  -- Id: C.25
  function "=" (L, R : STD_LOGIC_VECTOR) return BOOLEAN;
  -- Result subtype: BOOLEAN
  -- Result: Computes "L = R" where L and R are UNSIGNED vectors possibly
  --         of different lengths.

  -- Id: C.27
  function "=" (L : NATURAL; R : STD_LOGIC_VECTOR) return BOOLEAN;
  -- Result subtype: BOOLEAN
  -- Result: Computes "L = R" where L is a non-negative INTEGER and
  --         R is an UNSIGNED vector.

  -- Id: C.29
  function "=" (L : STD_LOGIC_VECTOR; R : NATURAL) return BOOLEAN;
  -- Result subtype: BOOLEAN
  -- Result: Computes "L = R" where L is an UNSIGNED vector and
  --         R is a non-negative INTEGER.

  --============================================================================

  -- Id: C.31
  function "/=" (L, R : STD_LOGIC_VECTOR) return BOOLEAN;
  -- Result subtype: BOOLEAN
  -- Result: Computes "L /= R" where L and R are UNSIGNED vectors possibly
  --         of different lengths.

  -- Id: C.33
  function "/=" (L : NATURAL; R : STD_LOGIC_VECTOR) return BOOLEAN;
  -- Result subtype: BOOLEAN
  -- Result: Computes "L /= R" where L is a non-negative INTEGER and
  --         R is an UNSIGNED vector.

  -- Id: C.35
  function "/=" (L : STD_LOGIC_VECTOR; R : NATURAL) return BOOLEAN;
  -- Result subtype: BOOLEAN
  -- Result: Computes "L /= R" where L is an UNSIGNED vector and
  --         R is a non-negative INTEGER.

  --============================================================================

  -- Id: C.37
  function MINIMUM (L, R : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR;
  -- Result subtype: STD_LOGIC_VECTOR
  -- Result: Returns the lesser of two UNSIGNED vectors that may be
  --         of different lengths.

  -- Id: C.39
  function MINIMUM (L : NATURAL; R : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR;
  -- Result subtype: STD_LOGIC_VECTOR
  -- Result: Returns the lesser of a nonnegative INTEGER, L, and
  --         an UNSIGNED vector, R.

  -- Id: C.41
  function MINIMUM (L : STD_LOGIC_VECTOR; R : NATURAL) return STD_LOGIC_VECTOR;
  -- Result subtype: STD_LOGIC_VECTOR
  -- Result: Returns the lesser of an UNSIGNED vector, L, and
  --         a nonnegative INTEGER, R.

  --============================================================================

  -- Id: C.43
  function MAXIMUM (L, R : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR;
  -- Result subtype: STD_LOGIC_VECTOR
  -- Result: Returns the greater of two UNSIGNED vectors that may be
  --         of different lengths.

  -- Id: C.45
  function MAXIMUM (L : NATURAL; R : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR;
  -- Result subtype: STD_LOGIC_VECTOR
  -- Result: Returns the greater of a nonnegative INTEGER, L, and
  --         an UNSIGNED vector, R.

  -- Id: C.47
  function MAXIMUM (L : STD_LOGIC_VECTOR; R : NATURAL) return STD_LOGIC_VECTOR;
  -- Result subtype: STD_LOGIC_VECTOR
  -- Result: Returns the greater of an UNSIGNED vector, L, and
  --         a nonnegative INTEGER, R.

  --============================================================================
  -- Id: C.49
  function \?>\ (L, R : STD_LOGIC_VECTOR) return STD_ULOGIC;
  -- Result subtype: STD_ULOGIC
  -- Result: Computes "L > R" where L and R are UNSIGNED vectors possibly
  --         of different lengths.

  -- Id: C.51
  function \?>\ (L : NATURAL; R : STD_LOGIC_VECTOR) return STD_ULOGIC;
  -- Result subtype: STD_ULOGIC
  -- Result: Computes "L > R" where L is a nonnegative INTEGER and
  --         R is an UNSIGNED vector.

  -- Id: C.53
  function \?>\ (L : STD_LOGIC_VECTOR; R : NATURAL) return STD_ULOGIC;
  -- Result subtype: STD_ULOGIC
  -- Result: Computes "L > R" where L is an UNSIGNED vector and
  --         R is a nonnegative INTEGER.

  --============================================================================

  -- Id: C.55
  function \?<\ (L, R : STD_LOGIC_VECTOR) return STD_ULOGIC;
  -- Result subtype: STD_ULOGIC
  -- Result: Computes "L < R" where L and R are UNSIGNED vectors possibly
  --         of different lengths.

  -- Id: C.57
  function \?<\ (L : NATURAL; R : STD_LOGIC_VECTOR) return STD_ULOGIC;
  -- Result subtype: STD_ULOGIC
  -- Result: Computes "L < R" where L is a nonnegative INTEGER and
  --         R is an UNSIGNED vector.

  -- Id: C.59
  function \?<\ (L : STD_LOGIC_VECTOR; R : NATURAL) return STD_ULOGIC;
  -- Result subtype: STD_ULOGIC
  -- Result: Computes "L < R" where L is an UNSIGNED vector and
  --         R is a nonnegative INTEGER.

  --============================================================================

  -- Id: C.61
  function \?<=\ (L, R : STD_LOGIC_VECTOR) return STD_ULOGIC;
  -- Result subtype: STD_ULOGIC
  -- Result: Computes "L <= R" where L and R are UNSIGNED vectors possibly
  --         of different lengths.

  -- Id: C.63
  function \?<=\ (L : NATURAL; R : STD_LOGIC_VECTOR) return STD_ULOGIC;
  -- Result subtype: STD_ULOGIC
  -- Result: Computes "L <= R" where L is a nonnegative INTEGER and
  --         R is an UNSIGNED vector.

  -- Id: C.65
  function \?<=\ (L : STD_LOGIC_VECTOR; R : NATURAL) return STD_ULOGIC;
  -- Result subtype: STD_ULOGIC
  -- Result: Computes "L <= R" where L is an UNSIGNED vector and
  --         R is a nonnegative INTEGER.

  --============================================================================

  -- Id: C.67
  function \?>=\ (L, R : STD_LOGIC_VECTOR) return STD_ULOGIC;
  -- Result subtype: STD_ULOGIC
  -- Result: Computes "L >= R" where L and R are UNSIGNED vectors possibly
  --         of different lengths.

  -- Id: C.69
  function \?>=\ (L : NATURAL; R : STD_LOGIC_VECTOR) return STD_ULOGIC;
  -- Result subtype: STD_ULOGIC
  -- Result: Computes "L >= R" where L is a nonnegative INTEGER and
  --         R is an UNSIGNED vector.

  -- Id: C.71
  function \?>=\ (L : STD_LOGIC_VECTOR; R : NATURAL) return STD_ULOGIC;
  -- Result subtype: STD_ULOGIC
  -- Result: Computes "L >= R" where L is an UNSIGNED vector and
  --         R is a nonnegative INTEGER.

  --============================================================================

  -- Id: C.73
  function \?=\ (L, R : STD_LOGIC_VECTOR) return STD_ULOGIC;
  -- Result subtype: STD_ULOGIC
  -- Result: Computes "L = R" where L and R are UNSIGNED vectors possibly
  --         of different lengths.

  -- Id: C.75
  function \?=\ (L : NATURAL; R : STD_LOGIC_VECTOR) return STD_ULOGIC;
  -- Result subtype: STD_ULOGIC
  -- Result: Computes "L = R" where L is a nonnegative INTEGER and
  --         R is an UNSIGNED vector.

  -- Id: C.77
  function \?=\ (L : STD_LOGIC_VECTOR; R : NATURAL) return STD_ULOGIC;
  -- Result subtype: STD_ULOGIC
  -- Result: Computes "L = R" where L is an UNSIGNED vector and
  --         R is a nonnegative INTEGER.

  --============================================================================

  -- Id: C.79
  function \?/=\ (L, R : STD_LOGIC_VECTOR) return STD_ULOGIC;
  -- Result subtype: STD_ULOGIC
  -- Result: Computes "L /= R" where L and R are UNSIGNED vectors possibly
  --         of different lengths.

  -- Id: C.81
  function \?/=\ (L : NATURAL; R : STD_LOGIC_VECTOR) return STD_ULOGIC;
  -- Result subtype: STD_ULOGIC
  -- Result: Computes "L /= R" where L is a nonnegative INTEGER and
  --         R is an UNSIGNED vector.

  -- Id: C.83
  function \?/=\ (L : STD_LOGIC_VECTOR; R : NATURAL) return STD_ULOGIC;
  -- Result subtype: STD_ULOGIC
  -- Result: Computes "L /= R" where L is an UNSIGNED vector and
  --         R is a nonnegative INTEGER.

  --============================================================================
  -- Shift and Rotate Functions
  --============================================================================

  -- Id: S.1
  function SHIFT_LEFT (ARG : STD_LOGIC_VECTOR; COUNT : NATURAL)
    return STD_LOGIC_VECTOR;
  -- Result subtype: STD_LOGIC_VECTOR(ARG'LENGTH-1 downto 0)
  -- Result: Performs a shift-left on an UNSIGNED vector COUNT times.
  --         The vacated positions are filled with '0'.
  --         The COUNT leftmost elements are lost.

  -- Id: S.2
  function SHIFT_RIGHT (ARG : STD_LOGIC_VECTOR; COUNT : NATURAL)
    return STD_LOGIC_VECTOR;
  -- Result subtype: UNSIGNED(ARG'LENGTH-1 downto 0)
  -- Result: Performs a shift-right on an UNSIGNED vector COUNT times.
  --         The vacated positions are filled with '0'.
  --         The COUNT rightmost elements are lost.
  --============================================================================

  -- Id: S.5
  function ROTATE_LEFT (ARG : STD_LOGIC_VECTOR; COUNT : NATURAL)
    return STD_LOGIC_VECTOR;
  -- Result subtype: STD_LOGIC_VECTOR(ARG'LENGTH-1 downto 0)
  -- Result: Performs a rotate-left of an UNSIGNED vector COUNT times.

  -- Id: S.6
  function ROTATE_RIGHT (ARG : STD_LOGIC_VECTOR; COUNT : NATURAL)
    return STD_LOGIC_VECTOR;
  -- Result subtype: STD_LOGIC_VECTOR(ARG'LENGTH-1 downto 0)
  -- Result: Performs a rotate-right of an UNSIGNED vector COUNT times.

  ------------------------------------------------------------------------------
  -- Note: Function S.17 is not compatible with IEEE Std 1076-1987. Comment
  -- out the function (declaration and body) for IEEE Std 1076-1987 compatibility.
  ------------------------------------------------------------------------------
  -- Id: S.17
  function "sla" (ARG : STD_LOGIC_VECTOR; COUNT : INTEGER) return STD_LOGIC_VECTOR;
  -- Result subtype: STD_LOGIC_VECTOR(ARG'LENGTH-1 downto 0)
  -- Result: SHIFT_LEFT(ARG, COUNT)

  ------------------------------------------------------------------------------
  -- Note: Function S.19 is not compatible with IEEE Std 1076-1987. Comment
  -- out the function (declaration and body) for IEEE Std 1076-1987 compatibility.
  ------------------------------------------------------------------------------
  -- Id: S.19
  function "sra" (ARG : STD_LOGIC_VECTOR; COUNT : INTEGER) return STD_LOGIC_VECTOR;
  -- Result subtype: STD_LOGIC_VECTOR(ARG'LENGTH-1 downto 0)
  -- Result: SHIFT_RIGHT(ARG, COUNT)


  --============================================================================
  --   RESIZE Functions
  --============================================================================

  -- Id: R.2
  function RESIZE (ARG : STD_LOGIC_VECTOR; NEW_SIZE : NATURAL)
    return STD_LOGIC_VECTOR;
  -- Result subtype: STD_LOGIC_VECTOR(NEW_SIZE-1 downto 0)
  -- Result: Resizes the UNSIGNED vector ARG to the specified size.
  --         To create a larger vector, the new [leftmost] bit positions
  --         are filled with '0'. When truncating, the leftmost bits
  --         are dropped.

  --============================================================================
  -- Conversion Functions
  --============================================================================

  -- Id: D.1
  function TO_INTEGER (ARG : STD_LOGIC_VECTOR) return NATURAL;
  -- Result subtype: NATURAL. Value cannot be negative since parameter is an
  --             UNSIGNED vector.
  -- Result: Converts the UNSIGNED vector to an INTEGER.

-- end LCS-2006-130
  --============================================================================
  -- Translation Functions
  --============================================================================

  -- Id: T.1
  function TO_01 (S : STD_LOGIC_VECTOR; XMAP : STD_ULOGIC := '0')
    return STD_LOGIC_VECTOR;
  -- Result subtype: STD_LOGIC_VECTOR(S'RANGE)
  -- Result: Termwise, 'H' is translated to '1', and 'L' is translated
  --         to '0'. If a value other than '0'|'1'|'H'|'L' is found,
  --         the array is set to (others => XMAP), and a warning is
  --         issued.
end package NUMERIC_STD_UNSIGNED;
-------------------------------------------------------------------------------
-- Proposed package body for the VHDL-200x-FT NUMERIC_STD_UNSIGNED package
-- This package body supplies a recommended implementation of these functions
-- Version: $Revision: 1.1 $
-- Date: $Date: 2006-06-13 15:53:20-04 $
--
--  Created for VHDL-200X par, David Bishop (dbishop@vhdl.org)
-------------------------------------------------------------------------------
library ieee;
use ieee.numeric_std.all;
use work.numeric_std_additions.all;

package body NUMERIC_STD_UNSIGNED is

  -- Id: A.3
  function "+" (L, R : STD_ULOGIC_VECTOR) return STD_ULOGIC_VECTOR is
  begin
    return STD_ULOGIC_VECTOR (UNSIGNED(L) + UNSIGNED(R));
  end function "+";

  -- Id: A.3R
  function "+"(L : STD_ULOGIC_VECTOR; R : STD_ULOGIC) return STD_ULOGIC_VECTOR is
  begin
    return STD_ULOGIC_VECTOR (UNSIGNED(L) + R);
  end function "+";

  -- Id: A.3L
  function "+"(L : STD_ULOGIC; R : STD_ULOGIC_VECTOR) return STD_ULOGIC_VECTOR is
  begin
    return STD_ULOGIC_VECTOR (L + UNSIGNED(R));
  end function "+";

  -- Id: A.5
  function "+" (L : STD_ULOGIC_VECTOR; R : NATURAL) return STD_ULOGIC_VECTOR is
  begin
    return STD_ULOGIC_VECTOR (UNSIGNED(L) + R);
  end function "+";

  -- Id: A.6
  function "+" (L : NATURAL; R : STD_ULOGIC_VECTOR) return STD_ULOGIC_VECTOR is
  begin
    return STD_ULOGIC_VECTOR (L + UNSIGNED(R));
  end function "+";

  --============================================================================

  -- Id: A.9
  function "-" (L, R : STD_ULOGIC_VECTOR) return STD_ULOGIC_VECTOR is
  begin
    return STD_ULOGIC_VECTOR (UNSIGNED(L) - UNSIGNED(R));
  end function "-";

  -- Id: A.9R
  function "-"(L : STD_ULOGIC_VECTOR; R : STD_ULOGIC) return STD_ULOGIC_VECTOR is
  begin
    return STD_ULOGIC_VECTOR (UNSIGNED(L) - R);
  end function "-";

  -- Id: A.9L
  function "-"(L : STD_ULOGIC; R : STD_ULOGIC_VECTOR) return STD_ULOGIC_VECTOR is
  begin
    return STD_ULOGIC_VECTOR (L - UNSIGNED(R));
  end function "-";

  -- Id: A.11
  function "-" (L : STD_ULOGIC_VECTOR; R : NATURAL) return STD_ULOGIC_VECTOR is
  begin
    return STD_ULOGIC_VECTOR (UNSIGNED(L) - R);
  end function "-";

  -- Id: A.12
  function "-" (L : NATURAL; R : STD_ULOGIC_VECTOR) return STD_ULOGIC_VECTOR is
  begin
    return STD_ULOGIC_VECTOR (L - UNSIGNED(R));
  end function "-";

  --============================================================================

  -- Id: A.15
  function "*" (L, R : STD_ULOGIC_VECTOR) return STD_ULOGIC_VECTOR is
  begin
    return STD_ULOGIC_VECTOR (UNSIGNED(L) * UNSIGNED(R));
  end function "*";

  -- Id: A.17
  function "*" (L : STD_ULOGIC_VECTOR; R : NATURAL) return STD_ULOGIC_VECTOR is
  begin
    return STD_ULOGIC_VECTOR (UNSIGNED(L) * R);
  end function "*";

  -- Id: A.18
  function "*" (L : NATURAL; R : STD_ULOGIC_VECTOR) return STD_ULOGIC_VECTOR is
  begin
    return STD_ULOGIC_VECTOR (L * UNSIGNED(R));
  end function "*";

  --============================================================================

  -- Id: A.21
  function "/" (L, R : STD_ULOGIC_VECTOR) return STD_ULOGIC_VECTOR is
  begin
    return STD_ULOGIC_VECTOR (UNSIGNED(L) / UNSIGNED(R));
  end function "/";

  -- Id: A.23
  function "/" (L : STD_ULOGIC_VECTOR; R : NATURAL) return STD_ULOGIC_VECTOR is
  begin
    return STD_ULOGIC_VECTOR (UNSIGNED(L) / R);
  end function "/";

  -- Id: A.24
  function "/" (L : NATURAL; R : STD_ULOGIC_VECTOR) return STD_ULOGIC_VECTOR is
  begin
    return STD_ULOGIC_VECTOR (L / UNSIGNED(R));
  end function "/";

  --============================================================================

  -- Id: A.27
  function "rem" (L, R : STD_ULOGIC_VECTOR) return STD_ULOGIC_VECTOR is
  begin
    return STD_ULOGIC_VECTOR (UNSIGNED(L) rem UNSIGNED(R));
  end function "rem";

  -- Id: A.29
  function "rem" (L : STD_ULOGIC_VECTOR; R : NATURAL) return STD_ULOGIC_VECTOR is
  begin
    return STD_ULOGIC_VECTOR (UNSIGNED(L) rem R);
  end function "rem";

  -- Id: A.30
  function "rem" (L : NATURAL; R : STD_ULOGIC_VECTOR) return STD_ULOGIC_VECTOR is
  begin
    return STD_ULOGIC_VECTOR (L rem UNSIGNED(R));
  end function "rem";

  --============================================================================

  -- Id: A.33
  function "mod" (L, R : STD_ULOGIC_VECTOR) return STD_ULOGIC_VECTOR is
  begin
    return STD_ULOGIC_VECTOR (UNSIGNED(L) mod UNSIGNED(R));
  end function "mod";

  -- Id: A.35
  function "mod" (L : STD_ULOGIC_VECTOR; R : NATURAL) return STD_ULOGIC_VECTOR is
  begin
    return STD_ULOGIC_VECTOR (UNSIGNED(L) mod R);
  end function "mod";

  -- Id: A.36
  function "mod" (L : NATURAL; R : STD_ULOGIC_VECTOR) return STD_ULOGIC_VECTOR is
  begin
    return STD_ULOGIC_VECTOR (L mod UNSIGNED(R));
  end function "mod";

-- begin LCS-2006-129
  --============================================================================
  -- Id: A.39
  function find_leftmost (ARG: STD_ULOGIC_VECTOR; Y: STD_ULOGIC) return INTEGER is
  begin
    return find_leftmost(UNSIGNED(ARG), Y);
  end function find_leftmost;

  -- Id: A.41
  function find_rightmost (ARG: STD_ULOGIC_VECTOR; Y: STD_ULOGIC) return INTEGER is
  begin
    return find_rightmost(UNSIGNED(ARG), Y);
  end function find_rightmost;

-- end LCS-2006-129
  --============================================================================

  -- Id: C.1
  function ">" (L, R : STD_ULOGIC_VECTOR) return BOOLEAN is
  begin
    return UNSIGNED(L) > UNSIGNED(R);
  end function ">";

  -- Id: C.3
  function ">" (L : NATURAL; R : STD_ULOGIC_VECTOR) return BOOLEAN is
  begin
    return L > UNSIGNED(R);
  end function ">";

  -- Id: C.5
  function ">" (L : STD_ULOGIC_VECTOR; R : NATURAL) return BOOLEAN is
  begin
    return UNSIGNED(L) > R;
  end function ">";

  --============================================================================

  -- Id: C.7
  function "<" (L, R : STD_ULOGIC_VECTOR) return BOOLEAN is
  begin
    return UNSIGNED(L) < UNSIGNED(R);
  end function "<";

  -- Id: C.9
  function "<" (L : NATURAL; R : STD_ULOGIC_VECTOR) return BOOLEAN is
  begin
    return L < UNSIGNED(R);
  end function "<";

  -- Id: C.11
  function "<" (L : STD_ULOGIC_VECTOR; R : NATURAL) return BOOLEAN is
  begin
    return UNSIGNED(L) < R;
  end function "<";

  --============================================================================

  -- Id: C.13
  function "<=" (L, R : STD_ULOGIC_VECTOR) return BOOLEAN is
  begin
    return UNSIGNED(L) <= UNSIGNED(R);
  end function "<=";

  -- Id: C.15
  function "<=" (L : NATURAL; R : STD_ULOGIC_VECTOR) return BOOLEAN is
  begin
    return L <= UNSIGNED(R);
  end function "<=";

  -- Id: C.17
  function "<=" (L : STD_ULOGIC_VECTOR; R : NATURAL) return BOOLEAN is
  begin
    return UNSIGNED(L) <= R;
  end function "<=";

  --============================================================================

  -- Id: C.19
  function ">=" (L, R : STD_ULOGIC_VECTOR) return BOOLEAN is
  begin
    return UNSIGNED(L) >= UNSIGNED(R);
  end function ">=";

  -- Id: C.21
  function ">=" (L : NATURAL; R : STD_ULOGIC_VECTOR) return BOOLEAN is
  begin
    return L >= UNSIGNED(R);
  end function ">=";

  -- Id: C.23
  function ">=" (L : STD_ULOGIC_VECTOR; R : NATURAL) return BOOLEAN is
  begin
    return UNSIGNED(L) >= R;
  end function ">=";

  --============================================================================

  -- Id: C.25
  function "=" (L, R : STD_ULOGIC_VECTOR) return BOOLEAN is
  begin
    return UNSIGNED(L) = UNSIGNED(R);
  end function "=";

  -- Id: C.27
  function "=" (L : NATURAL; R : STD_ULOGIC_VECTOR) return BOOLEAN is
  begin
    return L = UNSIGNED(R);
  end function "=";

  -- Id: C.29
  function "=" (L : STD_ULOGIC_VECTOR; R : NATURAL) return BOOLEAN is
  begin
    return UNSIGNED(L) = R;
  end function "=";

  --============================================================================

  -- Id: C.31
  function "/=" (L, R : STD_ULOGIC_VECTOR) return BOOLEAN is
  begin
    return UNSIGNED(L) /= UNSIGNED(R);
  end function "/=";

  -- Id: C.33
  function "/=" (L : NATURAL; R : STD_ULOGIC_VECTOR) return BOOLEAN is
  begin
    return L /= UNSIGNED(R);
  end function "/=";

  -- Id: C.35
  function "/=" (L : STD_ULOGIC_VECTOR; R : NATURAL) return BOOLEAN is
  begin
    return UNSIGNED(L) /= R;
  end function "/=";

  --============================================================================

  -- Id: C.37
  function MINIMUM (L, R: STD_ULOGIC_VECTOR) return STD_ULOGIC_VECTOR is
  begin
    return STD_ULOGIC_VECTOR (MINIMUM(UNSIGNED(L), UNSIGNED(R)));
  end function MINIMUM;

  -- Id: C.39
  function MINIMUM (L: NATURAL; R: STD_ULOGIC_VECTOR) return STD_ULOGIC_VECTOR is
  begin
    return STD_ULOGIC_VECTOR (MINIMUM(L, UNSIGNED(R)));
  end function MINIMUM;

  -- Id: C.41
  function MINIMUM (L: STD_ULOGIC_VECTOR; R: NATURAL) return STD_ULOGIC_VECTOR is
  begin
    return STD_ULOGIC_VECTOR (MINIMUM(UNSIGNED(L), R));
  end function MINIMUM;

  --============================================================================
  -- Id: C.43
  function MAXIMUM (L, R: STD_ULOGIC_VECTOR) return STD_ULOGIC_VECTOR is
  begin
    return STD_ULOGIC_VECTOR (MAXIMUM(UNSIGNED(L), UNSIGNED(R)));
  end function MAXIMUM;

  -- Id: C.45
  function MAXIMUM (L: NATURAL; R: STD_ULOGIC_VECTOR) return STD_ULOGIC_VECTOR is
  begin
    return STD_ULOGIC_VECTOR (MAXIMUM(L, UNSIGNED(R)));
  end function MAXIMUM;

  -- Id: C.47
  function MAXIMUM (L: STD_ULOGIC_VECTOR; R: NATURAL) return STD_ULOGIC_VECTOR is
  begin
    return STD_ULOGIC_VECTOR (MAXIMUM(UNSIGNED(L), R));
  end function MAXIMUM;

  --============================================================================

  -- Id: C.49
  function \?>\ (L, R: STD_ULOGIC_VECTOR) return STD_ULOGIC is
  begin
    return \?>\ (UNSIGNED(L), UNSIGNED(R));
  end function \?>\;

  -- Id: C.51
  function \?>\ (L: NATURAL; R: STD_ULOGIC_VECTOR) return STD_ULOGIC is
  begin
    return \?>\ (L, UNSIGNED(R));
  end function \?>\;

  -- Id: C.53
  function \?>\ (L: STD_ULOGIC_VECTOR; R: NATURAL) return STD_ULOGIC is
  begin
    return \?>\ (UNSIGNED(L), R);
  end function \?>\;

  --============================================================================

  -- Id: C.55
  function \?<\ (L, R: STD_ULOGIC_VECTOR) return STD_ULOGIC is
  begin
    return \?<\ (UNSIGNED(L), UNSIGNED(R));
  end function \?<\;

  -- Id: C.57
  function \?<\ (L: NATURAL; R: STD_ULOGIC_VECTOR) return STD_ULOGIC is
  begin
    return \?<\ (L, UNSIGNED(R));
  end function \?<\;

  -- Id: C.59
  function \?<\ (L: STD_ULOGIC_VECTOR; R: NATURAL) return STD_ULOGIC is
  begin
    return \?<\ (UNSIGNED(L), R);
  end function \?<\;

  --============================================================================

  -- Id: C.61
  function \?<=\ (L, R: STD_ULOGIC_VECTOR) return STD_ULOGIC is
  begin
    return \?<=\ (UNSIGNED(L), UNSIGNED(R));
  end function \?<=\;

  -- Id: C.63
  function \?<=\ (L: NATURAL; R: STD_ULOGIC_VECTOR) return STD_ULOGIC is
  begin
    return \?<=\ (L, UNSIGNED(R));
  end function \?<=\;

  -- Id: C.65
  function \?<=\ (L: STD_ULOGIC_VECTOR; R: NATURAL) return STD_ULOGIC is
  begin
    return \?<=\ (UNSIGNED(L), R);
  end function \?<=\;

  --============================================================================

  -- Id: C.67
  function \?>=\ (L, R: STD_ULOGIC_VECTOR) return STD_ULOGIC is
  begin
    return \?>=\ (UNSIGNED(L), UNSIGNED(R));
  end function \?>=\;

  -- Id: C.69
  function \?>=\ (L: NATURAL; R: STD_ULOGIC_VECTOR) return STD_ULOGIC is
  begin
    return \?>=\ (L, UNSIGNED(R));
  end function \?>=\;

  -- Id: C.71
  function \?>=\ (L: STD_ULOGIC_VECTOR; R: NATURAL) return STD_ULOGIC is
  begin
    return \?>=\ (UNSIGNED(L), R);
  end function \?>=\;

  --============================================================================

  -- Id: C.73
  function \?=\ (L, R: STD_ULOGIC_VECTOR) return STD_ULOGIC is
  begin
    return \?=\ (UNSIGNED(L), UNSIGNED(R));
  end function \?=\;

  -- Id: C.75
  function \?=\ (L: NATURAL; R: STD_ULOGIC_VECTOR) return STD_ULOGIC is
  begin
    return \?=\ (L, UNSIGNED(R));
  end function \?=\;

  -- Id: C.77
  function \?=\ (L: STD_ULOGIC_VECTOR; R: NATURAL) return STD_ULOGIC is
  begin
    return \?=\ (UNSIGNED(L), R);
  end function \?=\;

  --============================================================================

  -- Id: C.79
  function \?/=\ (L, R: STD_ULOGIC_VECTOR) return STD_ULOGIC is
  begin
    return \?/=\ (UNSIGNED(L), UNSIGNED(R));
  end function \?/=\;

  -- Id: C.81
  function \?/=\ (L: NATURAL; R: STD_ULOGIC_VECTOR) return STD_ULOGIC is
  begin
    return \?/=\ (L, UNSIGNED(R));
  end function \?/=\;

  -- Id: C.83
  function \?/=\ (L: STD_ULOGIC_VECTOR; R: NATURAL) return STD_ULOGIC is
  begin
    return \?/=\ (UNSIGNED(L), R);
  end function \?/=\;

  --============================================================================

  -- Id: S.1
  function SHIFT_LEFT (ARG : STD_ULOGIC_VECTOR; COUNT : NATURAL) return STD_ULOGIC_VECTOR is
  begin
    return std_ulogic_vector (SHIFT_LEFT(unsigned(ARG), COUNT));
  end function SHIFT_LEFT;

  -- Id: S.2
  function SHIFT_RIGHT (ARG : STD_ULOGIC_VECTOR; COUNT : NATURAL) return STD_ULOGIC_VECTOR is
  begin
    return std_ulogic_vector (SHIFT_RIGHT(unsigned(ARG), COUNT));
  end function SHIFT_RIGHT;

  --============================================================================

  -- Id: S.5
  function ROTATE_LEFT (ARG : STD_ULOGIC_VECTOR; COUNT : NATURAL) return STD_ULOGIC_VECTOR is
  begin
    return std_ulogic_vector (ROTATE_LEFT(unsigned(ARG), COUNT));
  end function ROTATE_LEFT;

  -- Id: S.6
  function ROTATE_RIGHT (ARG : STD_ULOGIC_VECTOR; COUNT : NATURAL) return STD_ULOGIC_VECTOR is
  begin
    return std_ulogic_vector (ROTATE_RIGHT(unsigned(ARG), COUNT));
  end function ROTATE_RIGHT;

  --============================================================================

  -- Id: S.17
  function "sla" (ARG: STD_ULOGIC_VECTOR; COUNT: INTEGER) return STD_ULOGIC_VECTOR is
  begin
    return STD_ULOGIC_VECTOR (UNSIGNED(ARG) sla COUNT);
  end function "sla";

  -- Id: S.19
  function "sra" (ARG: STD_ULOGIC_VECTOR; COUNT: INTEGER) return STD_ULOGIC_VECTOR is
  begin
    return STD_ULOGIC_VECTOR (UNSIGNED(ARG) sra COUNT);
  end function "sra";

  --============================================================================

  -- Id: R.2
  function RESIZE (ARG : STD_ULOGIC_VECTOR; NEW_SIZE : NATURAL)
    return STD_ULOGIC_VECTOR is
  begin
    return STD_ULOGIC_VECTOR (
      RESIZE (ARG      => UNSIGNED(ARG),
              NEW_SIZE => NEW_SIZE));
  end function RESIZE;

  --============================================================================

  -- Id: D.1
  function TO_INTEGER (ARG : STD_ULOGIC_VECTOR) return NATURAL is
  begin
    return TO_INTEGER(UNSIGNED(ARG));
  end function TO_INTEGER;

  -- Id: D.3
  function To_StdLogicVector (ARG, SIZE : NATURAL) return STD_LOGIC_VECTOR is
  begin
    return STD_LOGIC_VECTOR (TO_UNSIGNED(ARG  => ARG,
                                         SIZE => SIZE));
  end function To_StdLogicVector;

  -- Id: D.5
  function To_StdULogicVector (ARG, SIZE : NATURAL) return STD_ULOGIC_VECTOR is
  begin
    return STD_ULOGIC_VECTOR (TO_UNSIGNED(ARG  => ARG,
                                         SIZE => SIZE));
  end function To_StdULogicVector;

  --============================================================================

  -- function TO_01 is used to convert vectors to the
  --          correct form for exported functions,
  --          and to report if there is an element which
  --          is not in (0, 1, H, L).

  -- Id: T.1
  function TO_01 (S : STD_ULOGIC_VECTOR; XMAP : STD_ULOGIC := '0')
    return STD_ULOGIC_VECTOR is
  begin
    return STD_ULOGIC_VECTOR (
      TO_01 (S    => UNSIGNED(S),
             XMAP => XMAP));
  end function TO_01;

  -- Id: A.3
  function "+" (L, R : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR is
  begin
    return STD_LOGIC_VECTOR (UNSIGNED(L) + UNSIGNED(R));
  end function "+";

  -- Id: A.3R
  function "+"(L : STD_LOGIC_VECTOR; R : STD_ULOGIC) return STD_LOGIC_VECTOR is
  begin
    return STD_LOGIC_VECTOR (UNSIGNED(L) + R);
  end function "+";

  -- Id: A.3L
  function "+"(L : STD_ULOGIC; R : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR is
  begin
    return STD_LOGIC_VECTOR (L + UNSIGNED(R));
  end function "+";

  -- Id: A.5
  function "+" (L : STD_LOGIC_VECTOR; R : NATURAL) return STD_LOGIC_VECTOR is
  begin
    return STD_LOGIC_VECTOR (UNSIGNED(L) + R);
  end function "+";

  -- Id: A.6
  function "+" (L : NATURAL; R : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR is
  begin
    return STD_LOGIC_VECTOR (L + UNSIGNED(R));
  end function "+";

  --============================================================================

  -- Id: A.9
  function "-" (L, R : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR is
  begin
    return STD_LOGIC_VECTOR (UNSIGNED(L) - UNSIGNED(R));
  end function "-";

  -- Id: A.9R
  function "-"(L : STD_LOGIC_VECTOR; R : STD_ULOGIC) return STD_LOGIC_VECTOR is
  begin
    return STD_LOGIC_VECTOR (UNSIGNED(L) - R);
  end function "-";

  -- Id: A.9L
  function "-"(L : STD_ULOGIC; R : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR is
  begin
    return STD_LOGIC_VECTOR (L - UNSIGNED(R));
  end function "-";

  -- Id: A.11
  function "-" (L : STD_LOGIC_VECTOR; R : NATURAL) return STD_LOGIC_VECTOR is
  begin
    return STD_LOGIC_VECTOR (UNSIGNED(L) - R);
  end function "-";

  -- Id: A.12
  function "-" (L : NATURAL; R : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR is
  begin
    return STD_LOGIC_VECTOR (L - UNSIGNED(R));
  end function "-";

  --============================================================================

  -- Id: A.15
  function "*" (L, R : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR is
  begin
    return STD_LOGIC_VECTOR (UNSIGNED(L) * UNSIGNED(R));
  end function "*";

  -- Id: A.17
  function "*" (L : STD_LOGIC_VECTOR; R : NATURAL) return STD_LOGIC_VECTOR is
  begin
    return STD_LOGIC_VECTOR (UNSIGNED(L) * R);
  end function "*";

  -- Id: A.18
  function "*" (L : NATURAL; R : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR is
  begin
    return STD_LOGIC_VECTOR (L * UNSIGNED(R));
  end function "*";

  --============================================================================

  -- Id: A.21
  function "/" (L, R : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR is
  begin
    return STD_LOGIC_VECTOR (UNSIGNED(L) / UNSIGNED(R));
  end function "/";

  -- Id: A.23
  function "/" (L : STD_LOGIC_VECTOR; R : NATURAL) return STD_LOGIC_VECTOR is
  begin
    return STD_LOGIC_VECTOR (UNSIGNED(L) / R);
  end function "/";

  -- Id: A.24
  function "/" (L : NATURAL; R : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR is
  begin
    return STD_LOGIC_VECTOR (L / UNSIGNED(R));
  end function "/";

  --============================================================================

  -- Id: A.27
  function "rem" (L, R : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR is
  begin
    return STD_LOGIC_VECTOR (UNSIGNED(L) rem UNSIGNED(R));
  end function "rem";

  -- Id: A.29
  function "rem" (L : STD_LOGIC_VECTOR; R : NATURAL) return STD_LOGIC_VECTOR is
  begin
    return STD_LOGIC_VECTOR (UNSIGNED(L) rem R);
  end function "rem";

  -- Id: A.30
  function "rem" (L : NATURAL; R : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR is
  begin
    return STD_LOGIC_VECTOR (L rem UNSIGNED(R));
  end function "rem";

  --============================================================================

  -- Id: A.33
  function "mod" (L, R : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR is
  begin
    return STD_LOGIC_VECTOR (UNSIGNED(L) mod UNSIGNED(R));
  end function "mod";

  -- Id: A.35
  function "mod" (L : STD_LOGIC_VECTOR; R : NATURAL) return STD_LOGIC_VECTOR is
  begin
    return STD_LOGIC_VECTOR (UNSIGNED(L) mod R);
  end function "mod";

  -- Id: A.36
  function "mod" (L : NATURAL; R : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR is
  begin
    return STD_LOGIC_VECTOR (L mod UNSIGNED(R));
  end function "mod";

-- begin LCS-2006-129
  --============================================================================
  -- Id: A.39
  function find_leftmost (ARG: STD_LOGIC_VECTOR; Y: STD_ULOGIC) return INTEGER is
  begin
    return find_leftmost(UNSIGNED(ARG), Y);
  end function find_leftmost;

  -- Id: A.41
  function find_rightmost (ARG: STD_LOGIC_VECTOR; Y: STD_ULOGIC) return INTEGER is
  begin
    return find_rightmost(UNSIGNED(ARG), Y);
  end function find_rightmost;

-- end LCS-2006-129
  --============================================================================

  -- Id: C.1
  function ">" (L, R : STD_LOGIC_VECTOR) return BOOLEAN is
  begin
    return UNSIGNED(L) > UNSIGNED(R);
  end function ">";

  -- Id: C.3
  function ">" (L : NATURAL; R : STD_LOGIC_VECTOR) return BOOLEAN is
  begin
    return L > UNSIGNED(R);
  end function ">";

  -- Id: C.5
  function ">" (L : STD_LOGIC_VECTOR; R : NATURAL) return BOOLEAN is
  begin
    return UNSIGNED(L) > R;
  end function ">";

  --============================================================================

  -- Id: C.7
  function "<" (L, R : STD_LOGIC_VECTOR) return BOOLEAN is
  begin
    return UNSIGNED(L) < UNSIGNED(R);
  end function "<";

  -- Id: C.9
  function "<" (L : NATURAL; R : STD_LOGIC_VECTOR) return BOOLEAN is
  begin
    return L < UNSIGNED(R);
  end function "<";

  -- Id: C.11
  function "<" (L : STD_LOGIC_VECTOR; R : NATURAL) return BOOLEAN is
  begin
    return UNSIGNED(L) < R;
  end function "<";

  --============================================================================

  -- Id: C.13
  function "<=" (L, R : STD_LOGIC_VECTOR) return BOOLEAN is
  begin
    return UNSIGNED(L) <= UNSIGNED(R);
  end function "<=";

  -- Id: C.15
  function "<=" (L : NATURAL; R : STD_LOGIC_VECTOR) return BOOLEAN is
  begin
    return L <= UNSIGNED(R);
  end function "<=";

  -- Id: C.17
  function "<=" (L : STD_LOGIC_VECTOR; R : NATURAL) return BOOLEAN is
  begin
    return UNSIGNED(L) <= R;
  end function "<=";

  --============================================================================

  -- Id: C.19
  function ">=" (L, R : STD_LOGIC_VECTOR) return BOOLEAN is
  begin
    return UNSIGNED(L) >= UNSIGNED(R);
  end function ">=";

  -- Id: C.21
  function ">=" (L : NATURAL; R : STD_LOGIC_VECTOR) return BOOLEAN is
  begin
    return L >= UNSIGNED(R);
  end function ">=";

  -- Id: C.23
  function ">=" (L : STD_LOGIC_VECTOR; R : NATURAL) return BOOLEAN is
  begin
    return UNSIGNED(L) >= R;
  end function ">=";

  --============================================================================

  -- Id: C.25
  function "=" (L, R : STD_LOGIC_VECTOR) return BOOLEAN is
  begin
    return UNSIGNED(L) = UNSIGNED(R);
  end function "=";

  -- Id: C.27
  function "=" (L : NATURAL; R : STD_LOGIC_VECTOR) return BOOLEAN is
  begin
    return L = UNSIGNED(R);
  end function "=";

  -- Id: C.29
  function "=" (L : STD_LOGIC_VECTOR; R : NATURAL) return BOOLEAN is
  begin
    return UNSIGNED(L) = R;
  end function "=";

  --============================================================================

  -- Id: C.31
  function "/=" (L, R : STD_LOGIC_VECTOR) return BOOLEAN is
  begin
    return UNSIGNED(L) /= UNSIGNED(R);
  end function "/=";

  -- Id: C.33
  function "/=" (L : NATURAL; R : STD_LOGIC_VECTOR) return BOOLEAN is
  begin
    return L /= UNSIGNED(R);
  end function "/=";

  -- Id: C.35
  function "/=" (L : STD_LOGIC_VECTOR; R : NATURAL) return BOOLEAN is
  begin
    return UNSIGNED(L) /= R;
  end function "/=";

  --============================================================================

  -- Id: C.37
  function MINIMUM (L, R: STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR is
  begin
    return STD_LOGIC_VECTOR (MINIMUM(UNSIGNED(L), UNSIGNED(R)));
  end function MINIMUM;

  -- Id: C.39
  function MINIMUM (L: NATURAL; R: STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR is
  begin
    return STD_LOGIC_VECTOR (MINIMUM(L, UNSIGNED(R)));
  end function MINIMUM;

  -- Id: C.41
  function MINIMUM (L: STD_LOGIC_VECTOR; R: NATURAL) return STD_LOGIC_VECTOR is
  begin
    return STD_LOGIC_VECTOR (MINIMUM(UNSIGNED(L), R));
  end function MINIMUM;

  --============================================================================
  -- Id: C.43
  function MAXIMUM (L, R: STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR is
  begin
    return STD_LOGIC_VECTOR (MAXIMUM(UNSIGNED(L), UNSIGNED(R)));
  end function MAXIMUM;

  -- Id: C.45
  function MAXIMUM (L: NATURAL; R: STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR is
  begin
    return STD_LOGIC_VECTOR (MAXIMUM(L, UNSIGNED(R)));
  end function MAXIMUM;

  -- Id: C.47
  function MAXIMUM (L: STD_LOGIC_VECTOR; R: NATURAL) return STD_LOGIC_VECTOR is
  begin
    return STD_LOGIC_VECTOR (MAXIMUM(UNSIGNED(L), R));
  end function MAXIMUM;

  --============================================================================

  -- Id: C.49
  function \?>\ (L, R: STD_LOGIC_VECTOR) return STD_ULOGIC is
  begin
    return \?>\ (UNSIGNED(L), UNSIGNED(R));
  end function \?>\;

  -- Id: C.51
  function \?>\ (L: NATURAL; R: STD_LOGIC_VECTOR) return STD_ULOGIC is
  begin
    return \?>\ (L, UNSIGNED(R));
  end function \?>\;

  -- Id: C.53
  function \?>\ (L: STD_LOGIC_VECTOR; R: NATURAL) return STD_ULOGIC is
  begin
    return \?>\ (UNSIGNED(L), R);
  end function \?>\;

  --============================================================================

  -- Id: C.55
  function \?<\ (L, R: STD_LOGIC_VECTOR) return STD_ULOGIC is
  begin
    return \?<\ (UNSIGNED(L), UNSIGNED(R));
  end function \?<\;

  -- Id: C.57
  function \?<\ (L: NATURAL; R: STD_LOGIC_VECTOR) return STD_ULOGIC is
  begin
    return \?<\ (L, UNSIGNED(R));
  end function \?<\;

  -- Id: C.59
  function \?<\ (L: STD_LOGIC_VECTOR; R: NATURAL) return STD_ULOGIC is
  begin
    return \?<\ (UNSIGNED(L), R);
  end function \?<\;

  --============================================================================

  -- Id: C.61
  function \?<=\ (L, R: STD_LOGIC_VECTOR) return STD_ULOGIC is
  begin
    return \?<=\ (UNSIGNED(L), UNSIGNED(R));
  end function \?<=\;

  -- Id: C.63
  function \?<=\ (L: NATURAL; R: STD_LOGIC_VECTOR) return STD_ULOGIC is
  begin
    return \?<=\ (L, UNSIGNED(R));
  end function \?<=\;

  -- Id: C.65
  function \?<=\ (L: STD_LOGIC_VECTOR; R: NATURAL) return STD_ULOGIC is
  begin
    return \?<=\ (UNSIGNED(L), R);
  end function \?<=\;

  --============================================================================

  -- Id: C.67
  function \?>=\ (L, R: STD_LOGIC_VECTOR) return STD_ULOGIC is
  begin
    return \?>=\ (UNSIGNED(L), UNSIGNED(R));
  end function \?>=\;

  -- Id: C.69
  function \?>=\ (L: NATURAL; R: STD_LOGIC_VECTOR) return STD_ULOGIC is
  begin
    return \?>=\ (L, UNSIGNED(R));
  end function \?>=\;

  -- Id: C.71
  function \?>=\ (L: STD_LOGIC_VECTOR; R: NATURAL) return STD_ULOGIC is
  begin
    return \?>=\ (UNSIGNED(L), R);
  end function \?>=\;

  --============================================================================

  -- Id: C.73
  function \?=\ (L, R: STD_LOGIC_VECTOR) return STD_ULOGIC is
  begin
    return \?=\ (UNSIGNED(L), UNSIGNED(R));
  end function \?=\;

  -- Id: C.75
  function \?=\ (L: NATURAL; R: STD_LOGIC_VECTOR) return STD_ULOGIC is
  begin
    return \?=\ (L, UNSIGNED(R));
  end function \?=\;

  -- Id: C.77
  function \?=\ (L: STD_LOGIC_VECTOR; R: NATURAL) return STD_ULOGIC is
  begin
    return \?=\ (UNSIGNED(L), R);
  end function \?=\;

  --============================================================================

  -- Id: C.79
  function \?/=\ (L, R: STD_LOGIC_VECTOR) return STD_ULOGIC is
  begin
    return \?/=\ (UNSIGNED(L), UNSIGNED(R));
  end function \?/=\;

  -- Id: C.81
  function \?/=\ (L: NATURAL; R: STD_LOGIC_VECTOR) return STD_ULOGIC is
  begin
    return \?/=\ (L, UNSIGNED(R));
  end function \?/=\;

  -- Id: C.83
  function \?/=\ (L: STD_LOGIC_VECTOR; R: NATURAL) return STD_ULOGIC is
  begin
    return \?/=\ (UNSIGNED(L), R);
  end function \?/=\;

  --============================================================================

  -- Id: S.1
  function SHIFT_LEFT (ARG : STD_LOGIC_VECTOR; COUNT : NATURAL) return STD_LOGIC_VECTOR is
  begin
    return STD_LOGIC_VECTOR (SHIFT_LEFT(unsigned(ARG), COUNT));
  end function SHIFT_LEFT;

  -- Id: S.2
  function SHIFT_RIGHT (ARG : STD_LOGIC_VECTOR; COUNT : NATURAL) return STD_LOGIC_VECTOR is
  begin
    return STD_LOGIC_VECTOR (SHIFT_RIGHT(unsigned(ARG), COUNT));
  end function SHIFT_RIGHT;

  --============================================================================

  -- Id: S.5
  function ROTATE_LEFT (ARG : STD_LOGIC_VECTOR; COUNT : NATURAL) return STD_LOGIC_VECTOR is
  begin
    return STD_LOGIC_VECTOR (ROTATE_LEFT(unsigned(ARG), COUNT));
  end function ROTATE_LEFT;

  -- Id: S.6
  function ROTATE_RIGHT (ARG : STD_LOGIC_VECTOR; COUNT : NATURAL) return STD_LOGIC_VECTOR is
  begin
    return STD_LOGIC_VECTOR (ROTATE_RIGHT(unsigned(ARG), COUNT));
  end function ROTATE_RIGHT;

  --============================================================================

  -- Id: S.17
  function "sla" (ARG: STD_LOGIC_VECTOR; COUNT: INTEGER) return STD_LOGIC_VECTOR is
  begin
    return STD_LOGIC_VECTOR (UNSIGNED(ARG) sla COUNT);
  end function "sla";

  -- Id: S.19
  function "sra" (ARG: STD_LOGIC_VECTOR; COUNT: INTEGER) return STD_LOGIC_VECTOR is
  begin
    return STD_LOGIC_VECTOR (UNSIGNED(ARG) sra COUNT);
  end function "sra";

  --============================================================================

  -- Id: R.2
  function RESIZE (ARG : STD_LOGIC_VECTOR; NEW_SIZE : NATURAL)
    return STD_LOGIC_VECTOR is
  begin
    return STD_LOGIC_VECTOR (
      RESIZE (ARG      => UNSIGNED(ARG),
              NEW_SIZE => NEW_SIZE));
  end function RESIZE;

  --============================================================================

  -- Id: D.1
  function TO_INTEGER (ARG : STD_LOGIC_VECTOR) return NATURAL is
  begin
    return TO_INTEGER(UNSIGNED(ARG));
  end function TO_INTEGER;

  --============================================================================

  -- function TO_01 is used to convert vectors to the
  --          correct form for exported functions,
  --          and to report if there is an element which
  --          is not in (0, 1, H, L).

  -- Id: T.1
  function TO_01 (S : STD_LOGIC_VECTOR; XMAP : STD_ULOGIC := '0')
    return STD_LOGIC_VECTOR is
  begin
    return STD_LOGIC_VECTOR (
      TO_01 (S    => UNSIGNED(S),
             XMAP => XMAP));
  end function TO_01;

end package body NUMERIC_STD_UNSIGNED;