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e17a1eefb521a1e68f91c85410f75e418379678d
vhdl/lib/Standard/ieee/numeric_bit_body.vhd
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jens e17a1eefb5 - initial version 
git-svn-id: http://moon:8086/svn/vhdl/trunk@1073 cc03376c-175c-47c8-b038-4cd826a8556b
2015-02-07 06:35:28 +00:00

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-- -----------------------------------------------------------------------------
--
-- Copyright 1995 by IEEE. All rights reserved.
--
-- This source file is considered by the IEEE to be an essential part of the use
-- of the standard 1076.3 and as such may be distributed without change, except
-- as permitted by the standard. This source file may not be sold or distributed
-- for profit. This package may be modified to include additional data required
-- by tools, but must in no way change the external interfaces or simulation
-- behaviour of the description. It is permissible to add comments and/or
-- attributes to the package declarations, but not to change or delete any
-- original lines of the approved package declaration. The package body may be
-- changed only in accordance with the terms of clauses 7.1 and 7.2 of the
-- standard.
--
-- Title : Standard VHDL Synthesis Package (1076.3, NUMERIC_BIT)
--
-- Library : This package shall be compiled into a library symbolically
-- : named IEEE.
--
-- Developers : IEEE DASC Synthesis Working Group, PAR 1076.3
--
-- Purpose : This package defines numeric types and arithmetic functions
-- : for use with synthesis tools. Two numeric types are defined:
-- : -- > UNSIGNED: represents an UNSIGNED number in vector form
-- : -- > SIGNED: represents a SIGNED number in vector form
-- : The base element type is type BIT.
-- : The leftmost bit is treated as the most significant bit.
-- : Signed vectors are represented in two's complement form.
-- : This package contains overloaded arithmetic operators on
-- : the SIGNED and UNSIGNED types. The package also contains
-- : useful type conversions functions, clock detection
-- : functions, and other utility functions.
-- :
-- : If any argument to a function is a null array, a null array is
-- : returned (exceptions, if any, are noted individually).
--
-- Limitation :
--
-- Note : No declarations or definitions shall be included in,
-- : or excluded from this package. The "package declaration"
-- : defines the types, subtypes and declarations of
-- : NUMERIC_BIT. The NUMERIC_BIT package body shall be
-- : considered the formal definition of the semantics of
-- : this package. Tool developers may choose to implement
-- : the package body in the most efficient manner available
-- : to them.
-- :
-- -----------------------------------------------------------------------------
-- Version : 2.4
-- Date : 12 April 1995
-- -----------------------------------------------------------------------------
package NUMERIC_BIT is
constant CopyRightNotice: STRING
:= "Copyright 1995 IEEE. All rights reserved.";
--============================================================================
-- Numeric array type definitions
--============================================================================
type UNSIGNED is array (NATURAL range <> ) of BIT;
type SIGNED is array (NATURAL range <> ) of BIT;
--============================================================================
-- Arithmetic Operators:
--============================================================================
-- Id: A.1
function "abs" (ARG: SIGNED) return SIGNED;
-- Result subtype: SIGNED(ARG'LENGTH-1 downto 0).
-- Result: Returns the absolute value of a SIGNED vector ARG.
-- Id: A.2
function "-" (ARG: SIGNED) return SIGNED;
-- Result subtype: SIGNED(ARG'LENGTH-1 downto 0).
-- Result: Returns the value of the unary minus operation on a
-- SIGNED vector ARG.
--============================================================================
-- Id: A.3
function "+" (L, R: UNSIGNED) return UNSIGNED;
-- Result subtype: UNSIGNED(MAX(L'LENGTH, R'LENGTH)-1 downto 0).
-- Result: Adds two UNSIGNED vectors that may be of different lengths.
-- Id: A.4
function "+" (L, R: SIGNED) return SIGNED;
-- Result subtype: SIGNED(MAX(L'LENGTH, R'LENGTH)-1 downto 0).
-- Result: Adds two SIGNED vectors that may be of different lengths.
-- Id: A.5
function "+" (L: UNSIGNED; R: NATURAL) return UNSIGNED;
-- Result subtype: UNSIGNED(L'LENGTH-1 downto 0).
-- Result: Adds an UNSIGNED vector, L, with a non-negative INTEGER, R.
-- Id: A.6
function "+" (L: NATURAL; R: UNSIGNED) return UNSIGNED;
-- Result subtype: UNSIGNED(R'LENGTH-1 downto 0).
-- Result: Adds a non-negative INTEGER, L, with an UNSIGNED vector, R.
-- Id: A.7
function "+" (L: INTEGER; R: SIGNED) return SIGNED;
-- Result subtype: SIGNED(R'LENGTH-1 downto 0).
-- Result: Adds an INTEGER, L(may be positive or negative), to a SIGNED
-- vector, R.
-- Id: A.8
function "+" (L: SIGNED; R: INTEGER) return SIGNED;
-- Result subtype: SIGNED(L'LENGTH-1 downto 0).
-- Result: Adds a SIGNED vector, L, to an INTEGER, R.
--============================================================================
-- Id: A.9
function "-" (L, R: UNSIGNED) return UNSIGNED;
-- Result subtype: UNSIGNED(MAX(L'LENGTH, R'LENGTH)-1 downto 0).
-- Result: Subtracts two UNSIGNED vectors that may be of different lengths.
-- Id: A.10
function "-" (L, R: SIGNED) return SIGNED;
-- Result subtype: SIGNED(MAX(L'LENGTH, R'LENGTH)-1 downto 0).
-- Result: Subtracts a SIGNED vector, R, from another SIGNED vector, L,
-- that may possibly be of different lengths.
-- Id: A.11
function "-" (L: UNSIGNED; R: NATURAL) return UNSIGNED;
-- Result subtype: UNSIGNED(L'LENGTH-1 downto 0).
-- Result: Subtracts a non-negative INTEGER, R, from an UNSIGNED vector, L.
-- Id: A.12
function "-" (L: NATURAL; R: UNSIGNED) return UNSIGNED;
-- Result subtype: UNSIGNED(R'LENGTH-1 downto 0).
-- Result: Subtracts an UNSIGNED vector, R, from a non-negative INTEGER, L.
-- Id: A.13
function "-" (L: SIGNED; R: INTEGER) return SIGNED;
-- Result subtype: SIGNED(L'LENGTH-1 downto 0).
-- Result: Subtracts an INTEGER, R, from a SIGNED vector, L.
-- Id: A.14
function "-" (L: INTEGER; R: SIGNED) return SIGNED;
-- Result subtype: SIGNED(R'LENGTH-1 downto 0).
-- Result: Subtracts a SIGNED vector, R, from an INTEGER, L.
--============================================================================
-- Id: A.15
function "*" (L, R: UNSIGNED) return UNSIGNED;
-- Result subtype: UNSIGNED((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.16
function "*" (L, R: SIGNED) return SIGNED;
-- Result subtype: SIGNED((L'LENGTH+R'LENGTH-1) downto 0)
-- Result: Multiplies two SIGNED vectors that may possibly be of
-- different lengths.
-- Id: A.17
function "*" (L: UNSIGNED; R: NATURAL) return UNSIGNED;
-- Result subtype: UNSIGNED((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: UNSIGNED) return UNSIGNED;
-- Result subtype: UNSIGNED((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.
-- Id: A.19
function "*" (L: SIGNED; R: INTEGER) return SIGNED;
-- Result subtype: SIGNED((L'LENGTH+L'LENGTH-1) downto 0)
-- Result: Multiplies a SIGNED vector, L, with an INTEGER, R. R is
-- converted to a SIGNED vector of size L'LENGTH before
-- multiplication.
-- Id: A.20
function "*" (L: INTEGER; R: SIGNED) return SIGNED;
-- Result subtype: SIGNED((R'LENGTH+R'LENGTH-1) downto 0)
-- Result: Multiplies a SIGNED vector, R, with an INTEGER, L. L is
-- converted to a SIGNED 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: UNSIGNED) return UNSIGNED;
-- Result subtype: UNSIGNED(L'LENGTH-1 downto 0)
-- Result: Divides an UNSIGNED vector, L, by another UNSIGNED vector, R.
-- Id: A.22
function "/" (L, R: SIGNED) return SIGNED;
-- Result subtype: SIGNED(L'LENGTH-1 downto 0)
-- Result: Divides an SIGNED vector, L, by another SIGNED vector, R.
-- Id: A.23
function "/" (L: UNSIGNED; R: NATURAL) return UNSIGNED;
-- Result subtype: UNSIGNED(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: UNSIGNED) return UNSIGNED;
-- Result subtype: UNSIGNED(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.
-- Id: A.25
function "/" (L: SIGNED; R: INTEGER) return SIGNED;
-- Result subtype: SIGNED(L'LENGTH-1 downto 0)
-- Result: Divides a SIGNED vector, L, by an INTEGER, R.
-- If NO_OF_BITS(R) > L'LENGTH, result is truncated to L'LENGTH.
-- Id: A.26
function "/" (L: INTEGER; R: SIGNED) return SIGNED;
-- Result subtype: SIGNED(R'LENGTH-1 downto 0)
-- Result: Divides an INTEGER, L, by a SIGNED 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: UNSIGNED) return UNSIGNED;
-- Result subtype: UNSIGNED(R'LENGTH-1 downto 0)
-- Result: Computes "L rem R" where L and R are UNSIGNED vectors.
-- Id: A.28
function "rem" (L, R: SIGNED) return SIGNED;
-- Result subtype: SIGNED(R'LENGTH-1 downto 0)
-- Result: Computes "L rem R" where L and R are SIGNED vectors.
-- Id: A.29
function "rem" (L: UNSIGNED; R: NATURAL) return UNSIGNED;
-- Result subtype: UNSIGNED(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: UNSIGNED) return UNSIGNED;
-- Result subtype: UNSIGNED(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.
-- Id: A.31
function "rem" (L: SIGNED; R: INTEGER) return SIGNED;
-- Result subtype: SIGNED(L'LENGTH-1 downto 0)
-- Result: Computes "L rem R" where L is SIGNED vector and R is an INTEGER.
-- If NO_OF_BITS(R) > L'LENGTH, result is truncated to L'LENGTH.
-- Id: A.32
function "rem" (L: INTEGER; R: SIGNED) return SIGNED;
-- Result subtype: SIGNED(R'LENGTH-1 downto 0)
-- Result: Computes "L rem R" where R is SIGNED vector and L is an 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: UNSIGNED) return UNSIGNED;
-- Result subtype: UNSIGNED(R'LENGTH-1 downto 0)
-- Result: Computes "L mod R" where L and R are UNSIGNED vectors.
-- Id: A.34
function "mod" (L, R: SIGNED) return SIGNED;
-- Result subtype: SIGNED(R'LENGTH-1 downto 0)
-- Result: Computes "L mod R" where L and R are SIGNED vectors.
-- Id: A.35
function "mod" (L: UNSIGNED; R: NATURAL) return UNSIGNED;
-- Result subtype: UNSIGNED(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: UNSIGNED) return UNSIGNED;
-- Result subtype: UNSIGNED(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.
-- Id: A.37
function "mod" (L: SIGNED; R: INTEGER) return SIGNED;
-- Result subtype: SIGNED(L'LENGTH-1 downto 0)
-- Result: Computes "L mod R" where L is a SIGNED vector and
-- R is an INTEGER.
-- If NO_OF_BITS(R) > L'LENGTH, result is truncated to L'LENGTH.
-- Id: A.38
function "mod" (L: INTEGER; R: SIGNED) return SIGNED;
-- Result subtype: SIGNED(R'LENGTH-1 downto 0)
-- Result: Computes "L mod R" where L is an INTEGER and
-- R is a SIGNED vector.
-- If NO_OF_BITS(L) > R'LENGTH, result is truncated to R'LENGTH.
--============================================================================
-- Comparison Operators
--============================================================================
-- Id: C.1
function ">" (L, R: UNSIGNED) return BOOLEAN;
-- Result subtype: BOOLEAN
-- Result: Computes "L > R" where L and R are UNSIGNED vectors possibly
-- of different lengths.
-- Id: C.2
function ">" (L, R: SIGNED) return BOOLEAN;
-- Result subtype: BOOLEAN
-- Result: Computes "L > R" where L and R are SIGNED vectors possibly
-- of different lengths.
-- Id: C.3
function ">" (L: NATURAL; R: UNSIGNED) return BOOLEAN;
-- Result subtype: BOOLEAN
-- Result: Computes "L > R" where L is a non-negative INTEGER and
-- R is an UNSIGNED vector.
-- Id: C.4
function ">" (L: INTEGER; R: SIGNED) return BOOLEAN;
-- Result subtype: BOOLEAN
-- Result: Computes "L > R" where L is a INTEGER and
-- R is a SIGNED vector.
-- Id: C.5
function ">" (L: UNSIGNED; 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.6
function ">" (L: SIGNED; R: INTEGER) return BOOLEAN;
-- Result subtype: BOOLEAN
-- Result: Computes "L > R" where L is a SIGNED vector and
-- R is a INTEGER.
--============================================================================
-- Id: C.7
function "<" (L, R: UNSIGNED) return BOOLEAN;
-- Result subtype: BOOLEAN
-- Result: Computes "L < R" where L and R are UNSIGNED vectors possibly
-- of different lengths.
-- Id: C.8
function "<" (L, R: SIGNED) return BOOLEAN;
-- Result subtype: BOOLEAN
-- Result: Computes "L < R" where L and R are SIGNED vectors possibly
-- of different lengths.
-- Id: C.9
function "<" (L: NATURAL; R: UNSIGNED) return BOOLEAN;
-- Result subtype: BOOLEAN
-- Result: Computes "L < R" where L is a non-negative INTEGER and
-- R is an UNSIGNED vector.
-- Id: C.10
function "<" (L: INTEGER; R: SIGNED) return BOOLEAN;
-- Result subtype: BOOLEAN
-- Result: Computes "L < R" where L is an INTEGER and
-- R is a SIGNED vector.
-- Id: C.11
function "<" (L: UNSIGNED; 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.12
function "<" (L: SIGNED; R: INTEGER) return BOOLEAN;
-- Result subtype: BOOLEAN
-- Result: Computes "L < R" where L is a SIGNED vector and
-- R is an INTEGER.
--============================================================================
-- Id: C.13
function "<=" (L, R: UNSIGNED) return BOOLEAN;
-- Result subtype: BOOLEAN
-- Result: Computes "L <= R" where L and R are UNSIGNED vectors possibly
-- of different lengths.
-- Id: C.14
function "<=" (L, R: SIGNED) return BOOLEAN;
-- Result subtype: BOOLEAN
-- Result: Computes "L <= R" where L and R are SIGNED vectors possibly
-- of different lengths.
-- Id: C.15
function "<=" (L: NATURAL; R: UNSIGNED) return BOOLEAN;
-- Result subtype: BOOLEAN
-- Result: Computes "L <= R" where L is a non-negative INTEGER and
-- R is an UNSIGNED vector.
-- Id: C.16
function "<=" (L: INTEGER; R: SIGNED) return BOOLEAN;
-- Result subtype: BOOLEAN
-- Result: Computes "L <= R" where L is an INTEGER and
-- R is a SIGNED vector.
-- Id: C.17
function "<=" (L: UNSIGNED; 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.18
function "<=" (L: SIGNED; R: INTEGER) return BOOLEAN;
-- Result subtype: BOOLEAN
-- Result: Computes "L <= R" where L is a SIGNED vector and
-- R is an INTEGER.
--============================================================================
-- Id: C.19
function ">=" (L, R: UNSIGNED) return BOOLEAN;
-- Result subtype: BOOLEAN
-- Result: Computes "L >= R" where L and R are UNSIGNED vectors possibly
-- of different lengths.
-- Id: C.20
function ">=" (L, R: SIGNED) return BOOLEAN;
-- Result subtype: BOOLEAN
-- Result: Computes "L >= R" where L and R are SIGNED vectors possibly
-- of different lengths.
-- Id: C.21
function ">=" (L: NATURAL; R: UNSIGNED) return BOOLEAN;
-- Result subtype: BOOLEAN
-- Result: Computes "L >= R" where L is a non-negative INTEGER and
-- R is an UNSIGNED vector.
-- Id: C.22
function ">=" (L: INTEGER; R: SIGNED) return BOOLEAN;
-- Result subtype: BOOLEAN
-- Result: Computes "L >= R" where L is an INTEGER and
-- R is a SIGNED vector.
-- Id: C.23
function ">=" (L: UNSIGNED; 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.24
function ">=" (L: SIGNED; R: INTEGER) return BOOLEAN;
-- Result subtype: BOOLEAN
-- Result: Computes "L >= R" where L is a SIGNED vector and
-- R is an INTEGER.
--============================================================================
-- Id: C.25
function "=" (L, R: UNSIGNED) return BOOLEAN;
-- Result subtype: BOOLEAN
-- Result: Computes "L = R" where L and R are UNSIGNED vectors possibly
-- of different lengths.
-- Id: C.26
function "=" (L, R: SIGNED) return BOOLEAN;
-- Result subtype: BOOLEAN
-- Result: Computes "L = R" where L and R are SIGNED vectors possibly
-- of different lengths.
-- Id: C.27
function "=" (L: NATURAL; R: UNSIGNED) return BOOLEAN;
-- Result subtype: BOOLEAN
-- Result: Computes "L = R" where L is a non-negative INTEGER and
-- R is an UNSIGNED vector.
-- Id: C.28
function "=" (L: INTEGER; R: SIGNED) return BOOLEAN;
-- Result subtype: BOOLEAN
-- Result: Computes "L = R" where L is an INTEGER and
-- R is a SIGNED vector.
-- Id: C.29
function "=" (L: UNSIGNED; 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.30
function "=" (L: SIGNED; R: INTEGER) return BOOLEAN;
-- Result subtype: BOOLEAN
-- Result: Computes "L = R" where L is a SIGNED vector and
-- R is an INTEGER.
--============================================================================
-- Id: C.31
function "/=" (L, R: UNSIGNED) return BOOLEAN;
-- Result subtype: BOOLEAN
-- Result: Computes "L /= R" where L and R are UNSIGNED vectors possibly
-- of different lengths.
-- Id: C.32
function "/=" (L, R: SIGNED) return BOOLEAN;
-- Result subtype: BOOLEAN
-- Result: Computes "L /= R" where L and R are SIGNED vectors possibly
-- of different lengths.
-- Id: C.33
function "/=" (L: NATURAL; R: UNSIGNED) return BOOLEAN;
-- Result subtype: BOOLEAN
-- Result: Computes "L /= R" where L is a non-negative INTEGER and
-- R is an UNSIGNED vector.
-- Id: C.34
function "/=" (L: INTEGER; R: SIGNED) return BOOLEAN;
-- Result subtype: BOOLEAN
-- Result: Computes "L /= R" where L is an INTEGER and
-- R is a SIGNED vector.
-- Id: C.35
function "/=" (L: UNSIGNED; 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.36
function "/=" (L: SIGNED; R: INTEGER) return BOOLEAN;
-- Result subtype: BOOLEAN
-- Result: Computes "L /= R" where L is a SIGNED vector and
-- R is an INTEGER.
--============================================================================
-- Shift and Rotate Functions
--============================================================================
-- Id: S.1
function SHIFT_LEFT (ARG: UNSIGNED; COUNT: NATURAL) return UNSIGNED;
-- Result subtype: UNSIGNED(ARG'LENGTH-1 downto 0)
-- Result: Performs a shift-left on an UNSIGNED vector COUNT times.
-- The vacated positions are filled with Bit '0'.
-- The COUNT leftmost bits are lost.
-- Id: S.2
function SHIFT_RIGHT (ARG: UNSIGNED; COUNT: NATURAL) return UNSIGNED;
-- 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 Bit '0'.
-- The COUNT rightmost bits are lost.
-- Id: S.3
function SHIFT_LEFT (ARG: SIGNED; COUNT: NATURAL) return SIGNED;
-- Result subtype: SIGNED(ARG'LENGTH-1 downto 0)
-- Result: Performs a shift-left on a SIGNED vector COUNT times.
-- The vacated positions are filled with Bit '0'.
-- The COUNT leftmost bits, except ARG'LEFT, are lost.
-- Id: S.4
function SHIFT_RIGHT (ARG: SIGNED; COUNT: NATURAL) return SIGNED;
-- Result subtype: SIGNED(ARG'LENGTH-1 downto 0)
-- Result: Performs a shift-right on a SIGNED vector COUNT times.
-- The vacated positions are filled with the leftmost bit, ARG'LEFT.
-- The COUNT rightmost bits are lost.
--============================================================================
-- Id: S.5
function ROTATE_LEFT (ARG: UNSIGNED; COUNT: NATURAL) return UNSIGNED;
-- Result subtype: UNSIGNED(ARG'LENGTH-1 downto 0)
-- Result: Performs a rotate-left of an UNSIGNED vector COUNT times.
-- Id: S.6
function ROTATE_RIGHT (ARG: UNSIGNED; COUNT: NATURAL) return UNSIGNED;
-- Result subtype: UNSIGNED(ARG'LENGTH-1 downto 0)
-- Result: Performs a rotate-right of an UNSIGNED vector COUNT times.
-- Id: S.7
function ROTATE_LEFT (ARG: SIGNED; COUNT: NATURAL) return SIGNED;
-- Result subtype: SIGNED(ARG'LENGTH-1 downto 0)
-- Result: Performs a logical rotate-left of a SIGNED vector COUNT times.
-- Id: S.8
function ROTATE_RIGHT (ARG: SIGNED; COUNT: NATURAL) return SIGNED;
-- Result subtype: SIGNED(ARG'LENGTH-1 downto 0)
-- Result: Performs a logical rotate-right of a SIGNED vector COUNT times.
--============================================================================
------------------------------------------------------------------------------
-- Note : Function S.9 is not compatible with VHDL 1076-1987. Comment
-- out the function (declaration and body) for VHDL 1076-1987 compatibility.
------------------------------------------------------------------------------
-- Id: S.9
function "sll" (ARG: UNSIGNED; COUNT: INTEGER) return UNSIGNED;
-- Result subtype: UNSIGNED(ARG'LENGTH-1 downto 0)
-- Result: SHIFT_LEFT(ARG, COUNT)
------------------------------------------------------------------------------
-- Note : Function S.10 is not compatible with VHDL 1076-1987. Comment
-- out the function (declaration and body) for VHDL 1076-1987 compatibility.
------------------------------------------------------------------------------
-- Id: S.10
function "sll" (ARG: SIGNED; COUNT: INTEGER) return SIGNED;
-- Result subtype: SIGNED(ARG'LENGTH-1 downto 0)
-- Result: SHIFT_LEFT(ARG, COUNT)
------------------------------------------------------------------------------
-- Note : Function S.11 is not compatible with VHDL 1076-1987. Comment
-- out the function (declaration and body) for VHDL 1076-1987 compatibility.
------------------------------------------------------------------------------
-- Id: S.11
function "srl" (ARG: UNSIGNED; COUNT: INTEGER) return UNSIGNED;
-- Result subtype: UNSIGNED(ARG'LENGTH-1 downto 0)
-- Result: SHIFT_RIGHT(ARG, COUNT)
------------------------------------------------------------------------------
-- Note : Function S.12 is not compatible with VHDL 1076-1987. Comment
-- out the function (declaration and body) for VHDL 1076-1987 compatibility.
------------------------------------------------------------------------------
-- Id: S.12
function "srl" (ARG: SIGNED; COUNT: INTEGER) return SIGNED;
-- Result subtype: SIGNED(ARG'LENGTH-1 downto 0)
-- Result: SIGNED(SHIFT_RIGHT(UNSIGNED(ARG), COUNT))
------------------------------------------------------------------------------
-- Note : Function S.13 is not compatible with VHDL 1076-1987. Comment
-- out the function (declaration and body) for VHDL 1076-1987 compatibility.
------------------------------------------------------------------------------
-- Id: S.13
function "rol" (ARG: UNSIGNED; COUNT: INTEGER) return UNSIGNED;
-- Result subtype: UNSIGNED(ARG'LENGTH-1 downto 0)
-- Result: ROTATE_LEFT(ARG, COUNT)
------------------------------------------------------------------------------
-- Note : Function S.14 is not compatible with VHDL 1076-1987. Comment
-- out the function (declaration and body) for VHDL 1076-1987 compatibility.
------------------------------------------------------------------------------
-- Id: S.14
function "rol" (ARG: SIGNED; COUNT: INTEGER) return SIGNED;
-- Result subtype: SIGNED(ARG'LENGTH-1 downto 0)
-- Result: ROTATE_LEFT(ARG, COUNT)
------------------------------------------------------------------------------
-- Note : Function S.15 is not compatible with VHDL 1076-1987. Comment
-- out the function (declaration and body) for VHDL 1076-1987 compatibility.
------------------------------------------------------------------------------
-- Id: S.15
function "ror" (ARG: UNSIGNED; COUNT: INTEGER) return UNSIGNED;
-- Result subtype: UNSIGNED(ARG'LENGTH-1 downto 0)
-- Result: ROTATE_RIGHT(ARG, COUNT)
------------------------------------------------------------------------------
-- Note : Function S.16 is not compatible with VHDL 1076-1987. Comment
-- out the function (declaration and body) for VHDL 1076-1987 compatibility.
------------------------------------------------------------------------------
-- Id: S.16
function "ror" (ARG: SIGNED; COUNT: INTEGER) return SIGNED;
-- Result subtype: SIGNED(ARG'LENGTH-1 downto 0)
-- Result: ROTATE_RIGHT(ARG, COUNT)
--============================================================================
-- RESIZE Functions
--============================================================================
-- Id: R.1
function RESIZE (ARG: SIGNED; NEW_SIZE: NATURAL) return SIGNED;
-- Result subtype: SIGNED(NEW_SIZE-1 downto 0)
-- Result: Resizes the SIGNED vector ARG to the specified size.
-- To create a larger vector, the new [leftmost] bit positions
-- are filled with the sign bit (ARG'LEFT). When truncating,
-- the sign bit is retained along with the rightmost part.
-- Id: R.2
function RESIZE (ARG: UNSIGNED; NEW_SIZE: NATURAL) return UNSIGNED;
-- Result subtype: UNSIGNED(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: UNSIGNED) 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.2
function TO_INTEGER (ARG: SIGNED) return INTEGER;
-- Result subtype: INTEGER
-- Result: Converts a SIGNED vector to an INTEGER.
-- Id: D.3
function TO_UNSIGNED (ARG, SIZE: NATURAL) return UNSIGNED;
-- Result subtype: UNSIGNED(SIZE-1 downto 0)
-- Result: Converts a non-negative INTEGER to an UNSIGNED vector with
-- the specified size.
-- Id: D.4
function TO_SIGNED (ARG: INTEGER; SIZE: NATURAL) return SIGNED;
-- Result subtype: SIGNED(SIZE-1 downto 0)
-- Result: Converts an INTEGER to a SIGNED vector of the specified size.
--============================================================================
-- Logical Operators
--============================================================================
-- Id: L.1
function "not" (L: UNSIGNED) return UNSIGNED;
-- Result subtype: UNSIGNED(L'LENGTH-1 downto 0)
-- Result: Termwise inversion
-- Id: L.2
function "and" (L, R: UNSIGNED) return UNSIGNED;
-- Result subtype: UNSIGNED(L'LENGTH-1 downto 0)
-- Result: Vector AND operation
-- Id: L.3
function "or" (L, R: UNSIGNED) return UNSIGNED;
-- Result subtype: UNSIGNED(L'LENGTH-1 downto 0)
-- Result: Vector OR operation
-- Id: L.4
function "nand" (L, R: UNSIGNED) return UNSIGNED;
-- Result subtype: UNSIGNED(L'LENGTH-1 downto 0)
-- Result: Vector NAND operation
-- Id: L.5
function "nor" (L, R: UNSIGNED) return UNSIGNED;
-- Result subtype: UNSIGNED(L'LENGTH-1 downto 0)
-- Result: Vector NOR operation
-- Id: L.6
function "xor" (L, R: UNSIGNED) return UNSIGNED;
-- Result subtype: UNSIGNED(L'LENGTH-1 downto 0)
-- Result: Vector XOR operation
------------------------------------------------------------------------------
-- Note : Function L.7 is not compatible with VHDL 1076-1987. Comment
-- out the function (declaration and body) for VHDL 1076-1987 compatibility.
------------------------------------------------------------------------------
-- Id: L.7
function "xnor" (L, R: UNSIGNED) return UNSIGNED;
-- Result subtype: UNSIGNED(L'LENGTH-1 downto 0)
-- Result: Vector XNOR operation
-- Id: L.8
function "not" (L: SIGNED) return SIGNED;
-- Result subtype: SIGNED(L'LENGTH-1 downto 0)
-- Result: Termwise inversion
-- Id: L.9
function "and" (L, R: SIGNED) return SIGNED;
-- Result subtype: SIGNED(L'LENGTH-1 downto 0)
-- Result: Vector AND operation
-- Id: L.10
function "or" (L, R: SIGNED) return SIGNED;
-- Result subtype: SIGNED(L'LENGTH-1 downto 0)
-- Result: Vector OR operation
-- Id: L.11
function "nand" (L, R: SIGNED) return SIGNED;
-- Result subtype: SIGNED(L'LENGTH-1 downto 0)
-- Result: Vector NAND operation
-- Id: L.12
function "nor" (L, R: SIGNED) return SIGNED;
-- Result subtype: SIGNED(L'LENGTH-1 downto 0)
-- Result: Vector NOR operation
-- Id: L.13
function "xor" (L, R: SIGNED) return SIGNED;
-- Result subtype: SIGNED(L'LENGTH-1 downto 0)
-- Result: Vector XOR operation
------------------------------------------------------------------------------
-- Note : Function L.14 is not compatible with VHDL 1076-1987. Comment
-- out the function (declaration and body) for VHDL 1076-1987 compatibility.
------------------------------------------------------------------------------
-- Id: L.14
function "xnor" (L, R: SIGNED) return SIGNED;
-- Result subtype: SIGNED(L'LENGTH-1 downto 0)
-- Result: Vector XNOR operation
--============================================================================
-- Edge Detection Functions
--============================================================================
-- Id: E.1
function RISING_EDGE (signal S: BIT) return BOOLEAN;
-- Result subtype: BOOLEAN
-- Result: Returns TRUE if an event is detected on signal S and the
-- value changed from a '0' to a '1'.
-- Id: E.2
function FALLING_EDGE (signal S: BIT) return BOOLEAN;
-- Result subtype: BOOLEAN
-- Result: Returns TRUE if an event is detected on signal S and the
-- value changed from a '1' to a '0'.
end NUMERIC_BIT;
--==============================================================================
--======================= Package Body =========================================
--==============================================================================
package body NUMERIC_BIT is
-- null range array constants
constant NAU: UNSIGNED(0 downto 1) := (others => '0');
constant NAS: SIGNED(0 downto 1) := (others => '0');
-- implementation controls
constant NO_WARNING: BOOLEAN := FALSE; -- default to emit warnings
--=========================Local Subprograms =================================
function MAX (LEFT, RIGHT: INTEGER) return INTEGER is
begin
if LEFT > RIGHT then return LEFT;
else return RIGHT;
end if;
end MAX;
function MIN (LEFT, RIGHT: INTEGER) return INTEGER is
begin
if LEFT < RIGHT then return LEFT;
else return RIGHT;
end if;
end MIN;
function SIGNED_NUM_BITS (ARG: INTEGER) return NATURAL is
variable NBITS: NATURAL;
variable N: NATURAL;
begin
if ARG >= 0 then
N := ARG;
else
N := -(ARG+1);
end if;
NBITS := 1;
while N > 0 loop
NBITS := NBITS+1;
N := N / 2;
end loop;
return NBITS;
end SIGNED_NUM_BITS;
function UNSIGNED_NUM_BITS (ARG: NATURAL) return NATURAL is
variable NBITS: NATURAL;
variable N: NATURAL;
begin
N := ARG;
NBITS := 1;
while N > 1 loop
NBITS := NBITS+1;
N := N / 2;
end loop;
return NBITS;
end UNSIGNED_NUM_BITS;
------------------------------------------------------------------------------
-- this internal function computes the addition of two UNSIGNED
-- with input carry
-- * the two arguments are of the same length
function ADD_UNSIGNED (L, R: UNSIGNED; C: BIT) return UNSIGNED is
constant L_LEFT: INTEGER := L'LENGTH-1;
alias XL: UNSIGNED(L_LEFT downto 0) is L;
alias XR: UNSIGNED(L_LEFT downto 0) is R;
variable RESULT: UNSIGNED(L_LEFT downto 0);
variable CBIT: BIT := C;
begin
for I in 0 to L_LEFT loop
RESULT(I) := CBIT xor XL(I) xor XR(I);
CBIT := (CBIT and XL(I)) or (CBIT and XR(I)) or (XL(I) and XR(I));
end loop;
return RESULT;
end ADD_UNSIGNED;
-- this internal function computes the addition of two SIGNED
-- with input carry
-- * the two arguments are of the same length
function ADD_SIGNED (L, R: SIGNED; C: BIT) return SIGNED is
constant L_LEFT: INTEGER := L'LENGTH-1;
alias XL: SIGNED(L_LEFT downto 0) is L;
alias XR: SIGNED(L_LEFT downto 0) is R;
variable RESULT: SIGNED(L_LEFT downto 0);
variable CBIT: BIT := C;
begin
for I in 0 to L_LEFT loop
RESULT(I) := CBIT xor XL(I) xor XR(I);
CBIT := (CBIT and XL(I)) or (CBIT and XR(I)) or (XL(I) and XR(I));
end loop;
return RESULT;
end ADD_SIGNED;
------------------------------------------------------------------------------
-- this internal procedure computes UNSIGNED division
-- giving the quotient and remainder.
procedure DIVMOD (NUM, XDENOM: UNSIGNED; XQUOT, XREMAIN: out UNSIGNED) is
variable TEMP: UNSIGNED(NUM'LENGTH downto 0);
variable QUOT: UNSIGNED(MAX(NUM'LENGTH, XDENOM'LENGTH)-1 downto 0);
alias DENOM: UNSIGNED(XDENOM'LENGTH-1 downto 0) is XDENOM;
variable TOPBIT: INTEGER;
begin
TEMP := "0"&NUM;
QUOT := (others => '0');
TOPBIT := -1;
for J in DENOM'RANGE loop
if DENOM(J)='1' then
TOPBIT := J;
exit;
end if;
end loop;
assert TOPBIT >= 0 report "DIV, MOD, or REM by zero" severity ERROR;
for J in NUM'LENGTH-(TOPBIT+1) downto 0 loop
if TEMP(TOPBIT+J+1 downto J) >= "0"&DENOM(TOPBIT downto 0) then
TEMP(TOPBIT+J+1 downto J) := (TEMP(TOPBIT+J+1 downto J))
-("0"&DENOM(TOPBIT downto 0));
QUOT(J) := '1';
end if;
assert TEMP(TOPBIT+J+1)='0'
report "internal error in the division algorithm"
severity ERROR;
end loop;
XQUOT := RESIZE(QUOT, XQUOT'LENGTH);
XREMAIN := RESIZE(TEMP, XREMAIN'LENGTH);
end DIVMOD;
-----------------Local Subprograms - shift/rotate ops-------------------------
function XSLL (ARG: BIT_VECTOR; COUNT: NATURAL) return BIT_VECTOR is
constant ARG_L: INTEGER := ARG'LENGTH-1;
alias XARG: BIT_VECTOR(ARG_L downto 0) is ARG;
variable RESULT: BIT_VECTOR(ARG_L downto 0) := (others => '0');
begin
if COUNT <= ARG_L then
RESULT(ARG_L downto COUNT) := XARG(ARG_L-COUNT downto 0);
end if;
return RESULT;
end XSLL;
function XSRL (ARG: BIT_VECTOR; COUNT: NATURAL) return BIT_VECTOR is
constant ARG_L: INTEGER := ARG'LENGTH-1;
alias XARG: BIT_VECTOR(ARG_L downto 0) is ARG;
variable RESULT: BIT_VECTOR(ARG_L downto 0) := (others => '0');
begin
if COUNT <= ARG_L then
RESULT(ARG_L-COUNT downto 0) := XARG(ARG_L downto COUNT);
end if;
return RESULT;
end XSRL;
function XSRA (ARG: BIT_VECTOR; COUNT: NATURAL) return BIT_VECTOR is
constant ARG_L: INTEGER := ARG'LENGTH-1;
alias XARG: BIT_VECTOR(ARG_L downto 0) is ARG;
variable RESULT: BIT_VECTOR(ARG_L downto 0);
variable XCOUNT: NATURAL := COUNT;
begin
if ((ARG'LENGTH <= 1) or (XCOUNT = 0)) then return ARG;
else
if (XCOUNT > ARG_L) then XCOUNT := ARG_L;
end if;
RESULT(ARG_L-XCOUNT downto 0) := XARG(ARG_L downto XCOUNT);
RESULT(ARG_L downto (ARG_L - XCOUNT + 1)) := (others => XARG(ARG_L));
end if;
return RESULT;
end XSRA;
function XROL (ARG: BIT_VECTOR; COUNT: NATURAL) return BIT_VECTOR is
constant ARG_L: INTEGER := ARG'LENGTH-1;
alias XARG: BIT_VECTOR(ARG_L downto 0) is ARG;
variable RESULT: BIT_VECTOR(ARG_L downto 0) := XARG;
variable COUNTM: INTEGER;
begin
COUNTM := COUNT mod (ARG_L + 1);
if COUNTM /= 0 then
RESULT(ARG_L downto COUNTM) := XARG(ARG_L-COUNTM downto 0);
RESULT(COUNTM-1 downto 0) := XARG(ARG_L downto ARG_L-COUNTM+1);
end if;
return RESULT;
end XROL;
function XROR (ARG: BIT_VECTOR; COUNT: NATURAL) return BIT_VECTOR is
constant ARG_L: INTEGER := ARG'LENGTH-1;
alias XARG: BIT_VECTOR(ARG_L downto 0) is ARG;
variable RESULT: BIT_VECTOR(ARG_L downto 0) := XARG;
variable COUNTM: INTEGER;
begin
COUNTM := COUNT mod (ARG_L + 1);
if COUNTM /= 0 then
RESULT(ARG_L-COUNTM downto 0) := XARG(ARG_L downto COUNTM);
RESULT(ARG_L downto ARG_L-COUNTM+1) := XARG(COUNTM-1 downto 0);
end if;
return RESULT;
end XROR;
---------------- Local Subprograms - Relational Operators --------------------
-- General "=" for UNSIGNED vectors, same length
--
function UNSIGNED_EQUAL (L, R: UNSIGNED) return BOOLEAN is
begin
return BIT_VECTOR(L) = BIT_VECTOR(R);
end UNSIGNED_EQUAL;
--
-- General "=" for SIGNED vectors, same length
--
function SIGNED_EQUAL (L, R: SIGNED) return BOOLEAN is
begin
return BIT_VECTOR(L) = BIT_VECTOR(R);
end SIGNED_EQUAL;
--
-- General "<" for UNSIGNED vectors, same length
--
function UNSIGNED_LESS (L, R: UNSIGNED) return BOOLEAN is
begin
return BIT_VECTOR(L) < BIT_VECTOR(R);
end UNSIGNED_LESS;
--
-- General "<" function for SIGNED vectors, same length
--
function SIGNED_LESS (L, R: SIGNED) return BOOLEAN is
-- Need aliases to assure index direction
variable INTERN_L: SIGNED(0 to L'LENGTH-1);
variable INTERN_R: SIGNED(0 to R'LENGTH-1);
begin
INTERN_L := L;
INTERN_R := R;
INTERN_L(0) := not INTERN_L(0);
INTERN_R(0) := not INTERN_R(0);
return BIT_VECTOR(INTERN_L) < BIT_VECTOR(INTERN_R);
end SIGNED_LESS;
--
-- General "<=" function for UNSIGNED vectors, same length
--
function UNSIGNED_LESS_OR_EQUAL (L, R: UNSIGNED) return BOOLEAN is
begin
return BIT_VECTOR(L) <= BIT_VECTOR(R);
end UNSIGNED_LESS_OR_EQUAL;
--
-- General "<=" function for SIGNED vectors, same length
--
function SIGNED_LESS_OR_EQUAL (L, R: SIGNED) return BOOLEAN is
-- Need aliases to assure index direction
variable INTERN_L: SIGNED(0 to L'LENGTH-1);
variable INTERN_R: SIGNED(0 to R'LENGTH-1);
begin
INTERN_L := L;
INTERN_R := R;
INTERN_L(0) := not INTERN_L(0);
INTERN_R(0) := not INTERN_R(0);
return BIT_VECTOR(INTERN_L) <= BIT_VECTOR(INTERN_R);
end SIGNED_LESS_OR_EQUAL;
--====================== Exported Functions ==================================
-- Id: A.1
function "abs" (ARG: SIGNED) return SIGNED is
constant ARG_LEFT: INTEGER := ARG'LENGTH-1;
variable RESULT: SIGNED(ARG_LEFT downto 0);
begin
if ARG'LENGTH < 1 then return NAS;
end if;
RESULT := ARG;
if RESULT(RESULT'LEFT) = '1' then
RESULT := -RESULT;
end if;
return RESULT;
end "abs";
-- Id: A.2
function "-" (ARG: SIGNED) return SIGNED is
constant ARG_LEFT: INTEGER := ARG'LENGTH-1;
alias XARG: SIGNED(ARG_LEFT downto 0) is ARG;
variable RESULT: SIGNED(ARG_LEFT downto 0);
variable CBIT: BIT := '1';
begin
if ARG'LENGTH < 1 then return NAS;
end if;
for I in 0 to RESULT'LEFT loop
RESULT(I) := not(XARG(I)) xor CBIT;
CBIT := CBIT and not(XARG(I));
end loop;
return RESULT;
end "-";
--============================================================================
-- Id: A.3
function "+" (L, R: UNSIGNED) return UNSIGNED is
constant L_LEFT: INTEGER := L'LENGTH-1;
constant R_LEFT: INTEGER := R'LENGTH-1;
constant SIZE: NATURAL := MAX(L'LENGTH, R'LENGTH);
begin
if ((L'LENGTH < 1) or (R'LENGTH < 1)) then return NAU;
end if;
return ADD_UNSIGNED(RESIZE(L, SIZE), RESIZE(R, SIZE), '0');
end "+";
-- Id: A.4
function "+" (L, R: SIGNED) return SIGNED is
constant L_LEFT: INTEGER := L'LENGTH-1;
constant R_LEFT: INTEGER := R'LENGTH-1;
constant SIZE: NATURAL := MAX(L'LENGTH, R'LENGTH);
begin
if ((L'LENGTH < 1) or (R'LENGTH < 1)) then return NAS;
end if;
return ADD_SIGNED(RESIZE(L, SIZE), RESIZE(R, SIZE), '0');
end "+";
-- Id: A.5
function "+" (L: UNSIGNED; R: NATURAL) return UNSIGNED is
begin
return L + TO_UNSIGNED(R, L'LENGTH);
end "+";
-- Id: A.6
function "+" (L: NATURAL; R: UNSIGNED) return UNSIGNED is
begin
return TO_UNSIGNED(L, R'LENGTH) + R;
end "+";
-- Id: A.7
function "+" (L: SIGNED; R: INTEGER) return SIGNED is
begin
return L + TO_SIGNED(R, L'LENGTH);
end "+";
-- Id: A.8
function "+" (L: INTEGER; R: SIGNED) return SIGNED is
begin
return TO_SIGNED(L, R'LENGTH) + R;
end "+";
--============================================================================
-- Id: A.9
function "-" (L, R: UNSIGNED) return UNSIGNED is
constant L_LEFT: INTEGER := L'LENGTH-1;
constant R_LEFT: INTEGER := R'LENGTH-1;
constant SIZE: NATURAL := MAX(L'LENGTH, R'LENGTH);
begin
if ((L'LENGTH < 1) or (R'LENGTH < 1)) then return NAU;
end if;
return ADD_UNSIGNED(RESIZE(L, SIZE),
not(RESIZE(R, SIZE)),
'1');
end "-";
-- Id: A.10
function "-" (L, R: SIGNED) return SIGNED is
constant L_LEFT: INTEGER := L'LENGTH-1;
constant R_LEFT: INTEGER := R'LENGTH-1;
constant SIZE: NATURAL := MAX(L'LENGTH, R'LENGTH);
begin
if ((L'LENGTH < 1) or (R'LENGTH < 1)) then return NAS;
end if;
return ADD_SIGNED(RESIZE(L, SIZE),
not(RESIZE(R, SIZE)),
'1');
end "-";
-- Id: A.11
function "-" (L: UNSIGNED; R: NATURAL) return UNSIGNED is
begin
return L - TO_UNSIGNED(R, L'LENGTH);
end "-";
-- Id: A.12
function "-" (L: NATURAL; R: UNSIGNED) return UNSIGNED is
begin
return TO_UNSIGNED(L, R'LENGTH) - R;
end "-";
-- Id: A.13
function "-" (L: SIGNED; R: INTEGER) return SIGNED is
begin
return L - TO_SIGNED(R, L'LENGTH);
end "-";
-- Id: A.14
function "-" (L: INTEGER; R: SIGNED) return SIGNED is
begin
return TO_SIGNED(L, R'LENGTH) - R;
end "-";
--============================================================================
-- Id: A.15
function "*" (L, R: UNSIGNED) return UNSIGNED is
constant L_LEFT: INTEGER := L'LENGTH-1;
constant R_LEFT: INTEGER := R'LENGTH-1;
alias XL: UNSIGNED(L_LEFT downto 0) is L;
alias XR: UNSIGNED(R_LEFT downto 0) is R;
variable RESULT: UNSIGNED((L'LENGTH+R'LENGTH-1) downto 0) := (others => '0');
variable ADVAL: UNSIGNED((L'LENGTH+R'LENGTH-1) downto 0);
begin
if ((L'LENGTH < 1) or (R'LENGTH < 1)) then return NAU;
end if;
ADVAL := RESIZE(XR, RESULT'LENGTH);
for I in 0 to L_LEFT loop
if XL(I)='1' then RESULT := RESULT + ADVAL;
end if;
ADVAL := SHIFT_LEFT(ADVAL, 1);
end loop;
return RESULT;
end "*";
-- Id: A.16
function "*" (L, R: SIGNED) return SIGNED is
constant L_LEFT: INTEGER := L'LENGTH-1;
constant R_LEFT: INTEGER := R'LENGTH-1;
variable XL: SIGNED(L_LEFT downto 0);
variable XR: SIGNED(R_LEFT downto 0);
variable RESULT: SIGNED((L_LEFT+R_LEFT+1) downto 0) := (others => '0');
variable ADVAL: SIGNED((L_LEFT+R_LEFT+1) downto 0);
begin
if ((L_LEFT < 0) or (R_LEFT < 0)) then return NAS;
end if;
XL := L;
XR := R;
ADVAL := RESIZE(XR, RESULT'LENGTH);
for I in 0 to L_LEFT-1 loop
if XL(I)='1' then RESULT := RESULT + ADVAL;
end if;
ADVAL := SHIFT_LEFT(ADVAL, 1);
end loop;
if XL(L_LEFT)='1' then
RESULT := RESULT - ADVAL;
end if;
return RESULT;
end "*";
-- Id: A.17
function "*" (L: UNSIGNED; R: NATURAL) return UNSIGNED is
begin
return L * TO_UNSIGNED(R, L'LENGTH);
end "*";
-- Id: A.18
function "*" (L: NATURAL; R: UNSIGNED) return UNSIGNED is
begin
return TO_UNSIGNED(L, R'LENGTH) * R;
end "*";
-- Id: A.19
function "*" (L: SIGNED; R: INTEGER) return SIGNED is
begin
return L * TO_SIGNED(R, L'LENGTH);
end "*";
-- Id: A.20
function "*" (L: INTEGER; R: SIGNED) return SIGNED is
begin
return TO_SIGNED(L, R'LENGTH) * R;
end "*";
--============================================================================
-- Id: A.21
function "/" (L, R: UNSIGNED) return UNSIGNED is
variable FQUOT: UNSIGNED(L'LENGTH-1 downto 0);
variable FREMAIN: UNSIGNED(R'LENGTH-1 downto 0);
begin
if ((L'LENGTH < 1) or (R'LENGTH < 1)) then return NAU;
end if;
DIVMOD(L, R, FQUOT, FREMAIN);
return FQUOT;
end "/";
-- Id: A.22
function "/" (L, R: SIGNED) return SIGNED is
variable FQUOT: UNSIGNED(L'LENGTH-1 downto 0);
variable FREMAIN: UNSIGNED(R'LENGTH-1 downto 0);
variable XNUM: UNSIGNED(L'LENGTH-1 downto 0);
variable XDENOM: UNSIGNED(R'LENGTH-1 downto 0);
variable QNEG: BOOLEAN := FALSE;
begin
if ((L'LENGTH < 1) or (R'LENGTH < 1)) then return NAS;
end if;
if L(L'LEFT)='1' then
XNUM := UNSIGNED(-L);
QNEG := TRUE;
else
XNUM := UNSIGNED(L);
end if;
if R(R'LEFT)='1' then
XDENOM := UNSIGNED(-R);
QNEG := not QNEG;
else
XDENOM := UNSIGNED(R);
end if;
DIVMOD(XNUM, XDENOM, FQUOT, FREMAIN);
if QNEG then FQUOT := "0"-FQUOT;
end if;
return SIGNED(FQUOT);
end "/";
-- Id: A.23
function "/" (L: UNSIGNED; R: NATURAL) return UNSIGNED is
constant R_LENGTH: NATURAL := MAX(L'LENGTH, UNSIGNED_NUM_BITS(R));
variable XR, QUOT: UNSIGNED(R_LENGTH-1 downto 0);
begin
if (L'LENGTH < 1) then return NAU;
end if;
if (R_LENGTH > L'LENGTH) then
QUOT := (others => '0');
return RESIZE(QUOT, L'LENGTH);
end if;
XR := TO_UNSIGNED(R, R_LENGTH);
QUOT := RESIZE((L / XR), QUOT'LENGTH);
return RESIZE(QUOT, L'LENGTH);
end "/";
-- Id: A.24
function "/" (L: NATURAL; R: UNSIGNED) return UNSIGNED is
constant L_LENGTH: NATURAL := MAX(UNSIGNED_NUM_BITS(L), R'LENGTH);
variable XL, QUOT: UNSIGNED(L_LENGTH-1 downto 0);
begin
if (R'LENGTH < 1) then return NAU;
end if;
XL := TO_UNSIGNED(L, L_LENGTH);
QUOT := RESIZE((XL / R), QUOT'LENGTH);
if L_LENGTH > R'LENGTH
and QUOT(L_LENGTH-1 downto R'LENGTH)
/= (L_LENGTH-1 downto R'LENGTH => '0')
then
assert NO_WARNING report "NUMERIC_BIT.""/"": Quotient Truncated"
severity WARNING;
end if;
return RESIZE(QUOT, R'LENGTH);
end "/";
-- Id: A.25
function "/" (L: SIGNED; R: INTEGER) return SIGNED is
constant R_LENGTH: NATURAL := MAX(L'LENGTH, SIGNED_NUM_BITS(R));
variable XR, QUOT: SIGNED(R_LENGTH-1 downto 0);
begin
if (L'LENGTH < 1) then return NAS;
end if;
if (R_LENGTH > L'LENGTH) then
QUOT := (others => '0');
return RESIZE(QUOT, L'LENGTH);
end if;
XR := TO_SIGNED(R, R_LENGTH);
QUOT := RESIZE((L / XR), QUOT'LENGTH);
return RESIZE(QUOT, L'LENGTH);
end "/";
-- Id: A.26
function "/" (L: INTEGER; R: SIGNED) return SIGNED is
constant L_LENGTH: NATURAL := MAX(SIGNED_NUM_BITS(L), R'LENGTH);
variable XL, QUOT: SIGNED(L_LENGTH-1 downto 0);
begin
if (R'LENGTH < 1) then return NAS;
end if;
XL := TO_SIGNED(L, L_LENGTH);
QUOT := RESIZE((XL / R), QUOT'LENGTH);
if L_LENGTH > R'LENGTH and QUOT(L_LENGTH-1 downto R'LENGTH)
/= (L_LENGTH-1 downto R'LENGTH => QUOT(R'LENGTH-1))
then
assert NO_WARNING report "NUMERIC_BIT.""/"": Quotient Truncated"
severity WARNING;
end if;
return RESIZE(QUOT, R'LENGTH);
end "/";
--============================================================================
-- Id: A.27
function "rem" (L, R: UNSIGNED) return UNSIGNED is
variable FQUOT: UNSIGNED(L'LENGTH-1 downto 0);
variable FREMAIN: UNSIGNED(R'LENGTH-1 downto 0);
begin
if ((L'LENGTH < 1) or (R'LENGTH < 1)) then return NAU;
end if;
DIVMOD(L, R, FQUOT, FREMAIN);
return FREMAIN;
end "rem";
-- Id: A.28
function "rem" (L, R: SIGNED) return SIGNED is
variable FQUOT: UNSIGNED(L'LENGTH-1 downto 0);
variable FREMAIN: UNSIGNED(R'LENGTH-1 downto 0);
variable XNUM: UNSIGNED(L'LENGTH-1 downto 0);
variable XDENOM: UNSIGNED(R'LENGTH-1 downto 0);
variable RNEG: BOOLEAN := FALSE;
begin
if ((L'LENGTH < 1) or (R'LENGTH < 1)) then return NAS;
end if;
if L(L'LEFT)='1' then
XNUM := UNSIGNED(-L);
RNEG := TRUE;
else
XNUM := UNSIGNED(L);
end if;
if R(R'LEFT)='1' then
XDENOM := UNSIGNED(-R);
else
XDENOM := UNSIGNED(R);
end if;
DIVMOD(XNUM, XDENOM, FQUOT, FREMAIN);
if RNEG then
FREMAIN := "0"-FREMAIN;
end if;
return SIGNED(FREMAIN);
end "rem";
-- Id: A.29
function "rem" (L: UNSIGNED; R: NATURAL) return UNSIGNED is
constant R_LENGTH: NATURAL := MAX(L'LENGTH, UNSIGNED_NUM_BITS(R));
variable XR, XREM: UNSIGNED(R_LENGTH-1 downto 0);
begin
if (L'LENGTH < 1) then return NAU;
end if;
XR := TO_UNSIGNED(R, R_LENGTH);
XREM := RESIZE((L rem XR), XREM'LENGTH);
if R_LENGTH > L'LENGTH and XREM(R_LENGTH-1 downto L'LENGTH)
/= (R_LENGTH-1 downto L'LENGTH => '0')
then
assert NO_WARNING report "NUMERIC_BIT.""rem"": Remainder Truncated"
severity WARNING;
end if;
return RESIZE(XREM, L'LENGTH);
end "rem";
-- Id: A.30
function "rem" (L: NATURAL; R: UNSIGNED) return UNSIGNED is
constant L_LENGTH: NATURAL := MAX(UNSIGNED_NUM_BITS(L), R'LENGTH);
variable XL, XREM: UNSIGNED(L_LENGTH-1 downto 0);
begin
if (R'LENGTH < 1) then return NAU;
end if;
XL := TO_UNSIGNED(L, L_LENGTH);
XREM := RESIZE((XL rem R), XREM'LENGTH);
if L_LENGTH > R'LENGTH and XREM(L_LENGTH-1 downto R'LENGTH)
/= (L_LENGTH-1 downto R'LENGTH => '0')
then
assert NO_WARNING report "NUMERIC_BIT.""rem"": Remainder Truncated"
severity WARNING;
end if;
return RESIZE(XREM, R'LENGTH);
end "rem";
-- Id: A.31
function "rem" (L: SIGNED; R: INTEGER) return SIGNED is
constant R_LENGTH: NATURAL := MAX(L'LENGTH, SIGNED_NUM_BITS(R));
variable XR, XREM: SIGNED(R_LENGTH-1 downto 0);
begin
if (L'LENGTH < 1) then return NAS;
end if;
XR := TO_SIGNED(R, R_LENGTH);
XREM := RESIZE((L rem XR), XREM'LENGTH);
if R_LENGTH > L'LENGTH and XREM(R_LENGTH-1 downto L'LENGTH)
/= (R_LENGTH-1 downto L'LENGTH => XREM(L'LENGTH-1))
then
assert NO_WARNING report "NUMERIC_BIT.""rem"": Remainder Truncated"
severity WARNING;
end if;
return RESIZE(XREM, L'LENGTH);
end "rem";
-- Id: A.32
function "rem" (L: INTEGER; R: SIGNED) return SIGNED is
constant L_LENGTH: NATURAL := MAX(SIGNED_NUM_BITS(L), R'LENGTH);
variable XL, XREM: SIGNED(L_LENGTH-1 downto 0);
begin
if (R'LENGTH < 1) then return NAS;
end if;
XL := TO_SIGNED(L, L_LENGTH);
XREM := RESIZE((XL rem R), XREM'LENGTH);
if L_LENGTH > R'LENGTH and XREM(L_LENGTH-1 downto R'LENGTH)
/= (L_LENGTH-1 downto R'LENGTH => XREM(R'LENGTH-1))
then
assert NO_WARNING report "NUMERIC_BIT.""rem"": Remainder Truncated"
severity WARNING;
end if;
return RESIZE(XREM, R'LENGTH);
end "rem";
--============================================================================
-- Id: A.33
function "mod" (L, R: UNSIGNED) return UNSIGNED is
variable FQUOT: UNSIGNED(L'LENGTH-1 downto 0);
variable FREMAIN: UNSIGNED(R'LENGTH-1 downto 0);
begin
if ((L'LENGTH < 1) or (R'LENGTH < 1)) then return NAU;
end if;
DIVMOD(L, R, FQUOT, FREMAIN);
return FREMAIN;
end "mod";
-- Id: A.34
function "mod" (L, R: SIGNED) return SIGNED is
variable FQUOT: UNSIGNED(L'LENGTH-1 downto 0);
variable FREMAIN: UNSIGNED(R'LENGTH-1 downto 0);
variable XNUM: UNSIGNED(L'LENGTH-1 downto 0);
variable XDENOM: UNSIGNED(R'LENGTH-1 downto 0);
variable RNEG: BOOLEAN := FALSE;
begin
if ((L'LENGTH < 1) or (R'LENGTH < 1)) then return NAS;
end if;
if L(L'LEFT)='1' then
XNUM := UNSIGNED(-L);
else
XNUM := UNSIGNED(L);
end if;
if R(R'LEFT)='1' then
XDENOM := UNSIGNED(-R);
RNEG := TRUE;
else
XDENOM := UNSIGNED(R);
end if;
DIVMOD(XNUM, XDENOM, FQUOT, FREMAIN);
if RNEG and L(L'LEFT)='1' then
FREMAIN := "0"-FREMAIN;
elsif RNEG and FREMAIN/="0" then
FREMAIN := FREMAIN-XDENOM;
elsif L(L'LEFT)='1' and FREMAIN/="0" then
FREMAIN := XDENOM-FREMAIN;
end if;
return SIGNED(FREMAIN);
end "mod";
-- Id: A.35
function "mod" (L: UNSIGNED; R: NATURAL) return UNSIGNED is
constant R_LENGTH: NATURAL := MAX(L'LENGTH, UNSIGNED_NUM_BITS(R));
variable XR, XREM: UNSIGNED(R_LENGTH-1 downto 0);
begin
if (L'LENGTH < 1) then return NAU;
end if;
XR := TO_UNSIGNED(R, R_LENGTH);
XREM := RESIZE((L mod XR), XREM'LENGTH);
if R_LENGTH > L'LENGTH and XREM(R_LENGTH-1 downto L'LENGTH)
/= (R_LENGTH-1 downto L'LENGTH => '0')
then
assert NO_WARNING report "NUMERIC_BIT.""mod"": modulus Truncated"
severity WARNING;
end if;
return RESIZE(XREM, L'LENGTH);
end "mod";
-- Id: A.36
function "mod" (L: NATURAL; R: UNSIGNED) return UNSIGNED is
constant L_LENGTH: NATURAL := MAX(UNSIGNED_NUM_BITS(L), R'LENGTH);
variable XL, XREM: UNSIGNED(L_LENGTH-1 downto 0);
begin
if (R'LENGTH < 1) then return NAU;
end if;
XL := TO_UNSIGNED(L, L_LENGTH);
XREM := RESIZE((XL mod R), XREM'LENGTH);
if L_LENGTH > R'LENGTH and XREM(L_LENGTH-1 downto R'LENGTH)
/= (L_LENGTH-1 downto R'LENGTH => '0')
then
assert NO_WARNING report "NUMERIC_BIT.""mod"": modulus Truncated"
severity WARNING;
end if;
return RESIZE(XREM, R'LENGTH);
end "mod";
-- Id: A.37
function "mod" (L: SIGNED; R: INTEGER) return SIGNED is
constant R_LENGTH: NATURAL := MAX(L'LENGTH, SIGNED_NUM_BITS(R));
variable XR, XREM: SIGNED(R_LENGTH-1 downto 0);
begin
if (L'LENGTH < 1) then return NAS;
end if;
XR := TO_SIGNED(R, R_LENGTH);
XREM := RESIZE((L mod XR), XREM'LENGTH);
if R_LENGTH > L'LENGTH and XREM(R_LENGTH-1 downto L'LENGTH)
/= (R_LENGTH-1 downto L'LENGTH => XREM(L'LENGTH-1))
then
assert NO_WARNING report "NUMERIC_BIT.""mod"": modulus Truncated"
severity WARNING;
end if;
return RESIZE(XREM, L'LENGTH);
end "mod";
-- Id: A.38
function "mod" (L: INTEGER; R: SIGNED) return SIGNED is
constant L_LENGTH: NATURAL := MAX(SIGNED_NUM_BITS(L), R'LENGTH);
variable XL, XREM: SIGNED(L_LENGTH-1 downto 0);
begin
if (R'LENGTH < 1) then return NAS;
end if;
XL := TO_SIGNED(L, L_LENGTH);
XREM := RESIZE((XL mod R), XREM'LENGTH);
if L_LENGTH > R'LENGTH and XREM(L_LENGTH-1 downto R'LENGTH)
/= (L_LENGTH-1 downto R'LENGTH => XREM(R'LENGTH-1))
then
assert NO_WARNING report "NUMERIC_BIT.""mod"": modulus Truncated"
severity WARNING;
end if;
return RESIZE(XREM, R'LENGTH);
end "mod";
--============================================================================
-- Id: C.1
function ">" (L, R: UNSIGNED) return BOOLEAN is
variable SIZE: NATURAL := MAX(L'LENGTH, R'LENGTH);
begin
if ((L'LENGTH < 1) or (R'LENGTH < 1)) then
assert NO_WARNING
report "NUMERIC_BIT."">"": null argument detected, returning FALSE"
severity WARNING;
return FALSE;
end if;
return not UNSIGNED_LESS_OR_EQUAL(RESIZE(L, SIZE), RESIZE(R, SIZE));
end ">";
-- Id: C.2
function ">" (L, R: SIGNED) return BOOLEAN is
variable SIZE: NATURAL := MAX(L'LENGTH, R'LENGTH);
begin
if ((L'LENGTH < 1) or (R'LENGTH < 1)) then
assert NO_WARNING
report "NUMERIC_BIT."">"": null argument detected, returning FALSE"
severity WARNING;
return FALSE;
end if;
return not SIGNED_LESS_OR_EQUAL(RESIZE(L, SIZE), RESIZE(R, SIZE));
end ">";
-- Id: C.3
function ">" (L: NATURAL; R: UNSIGNED) return BOOLEAN is
begin
if (R'LENGTH < 1) then
assert NO_WARNING
report "NUMERIC_BIT."">"": null argument detected, returning FALSE"
severity WARNING;
return FALSE;
end if;
if UNSIGNED_NUM_BITS(L) > R'LENGTH then return TRUE;
end if;
return not UNSIGNED_LESS_OR_EQUAL(TO_UNSIGNED(L, R'LENGTH), R);
end ">";
-- Id: C.4
function ">" (L: INTEGER; R: SIGNED) return BOOLEAN is
begin
if (R'LENGTH < 1) then
assert NO_WARNING
report "NUMERIC_BIT."">"": null argument detected, returning FALSE"
severity WARNING;
return FALSE;
end if;
if SIGNED_NUM_BITS(L) > R'LENGTH then return L > 0;
end if;
return not SIGNED_LESS_OR_EQUAL(TO_SIGNED(L, R'LENGTH), R);
end ">";
-- Id: C.5
function ">" (L: UNSIGNED; R: NATURAL) return BOOLEAN is
begin
if (L'LENGTH < 1) then
assert NO_WARNING
report "NUMERIC_BIT."">"": null argument detected, returning FALSE"
severity WARNING;
return FALSE;
end if;
if UNSIGNED_NUM_BITS(R) > L'LENGTH then return FALSE;
end if;
return not UNSIGNED_LESS_OR_EQUAL(L, TO_UNSIGNED(R, L'LENGTH));
end ">";
-- Id: C.6
function ">" (L: SIGNED; R: INTEGER) return BOOLEAN is
begin
if (L'LENGTH < 1) then
assert NO_WARNING
report "NUMERIC_BIT."">"": null argument detected, returning FALSE"
severity WARNING;
return FALSE;
end if;
if SIGNED_NUM_BITS(R) > L'LENGTH then return 0 > R;
end if;
return not SIGNED_LESS_OR_EQUAL(L, TO_SIGNED(R, L'LENGTH));
end ">";
--============================================================================
-- Id: C.7
function "<" (L, R: UNSIGNED) return BOOLEAN is
variable SIZE: NATURAL := MAX(L'LENGTH, R'LENGTH);
begin
if ((L'LENGTH < 1) or (R'LENGTH < 1)) then
assert NO_WARNING
report "NUMERIC_BIT.""<"": null argument detected, returning FALSE"
severity WARNING;
return FALSE;
end if;
return UNSIGNED_LESS(RESIZE(L, SIZE), RESIZE(R, SIZE));
end "<";
-- Id: C.8
function "<" (L, R: SIGNED) return BOOLEAN is
variable SIZE: NATURAL := MAX(L'LENGTH, R'LENGTH);
begin
if ((L'LENGTH < 1) or (R'LENGTH < 1)) then
assert NO_WARNING
report "NUMERIC_BIT.""<"": null argument detected, returning FALSE"
severity WARNING;
return FALSE;
end if;
return SIGNED_LESS(RESIZE(L, SIZE), RESIZE(R, SIZE));
end "<";
-- Id: C.9
function "<" (L: NATURAL; R: UNSIGNED) return BOOLEAN is
begin
if (R'LENGTH < 1) then
assert NO_WARNING
report "NUMERIC_BIT.""<"": null argument detected, returning FALSE"
severity WARNING;
return FALSE;
end if;
if UNSIGNED_NUM_BITS(L) > R'LENGTH then return L < 0;
end if;
return UNSIGNED_LESS(TO_UNSIGNED(L, R'LENGTH), R);
end "<";
-- Id: C.10
function "<" (L: INTEGER; R: SIGNED) return BOOLEAN is
begin
if (R'LENGTH < 1) then
assert NO_WARNING
report "NUMERIC_BIT.""<"": null argument detected, returning FALSE"
severity WARNING;
return FALSE;
end if;
if SIGNED_NUM_BITS(L) > R'LENGTH then return L < 0;
end if;
return SIGNED_LESS(TO_SIGNED(L, R'LENGTH), R);
end "<";
-- Id: C.11
function "<" (L: UNSIGNED; R: NATURAL) return BOOLEAN is
begin
if (L'LENGTH < 1) then
assert NO_WARNING
report "NUMERIC_BIT.""<"": null argument detected, returning FALSE"
severity WARNING;
return FALSE;
end if;
if UNSIGNED_NUM_BITS(R) > L'LENGTH then return 0 < R;
end if;
return UNSIGNED_LESS(L, TO_UNSIGNED(R, L'LENGTH));
end "<";
-- Id: C.12
function "<" (L: SIGNED; R: INTEGER) return BOOLEAN is
begin
if (L'LENGTH < 1) then
assert NO_WARNING
report "NUMERIC_BIT.""<"": null argument detected, returning FALSE"
severity WARNING;
return FALSE;
end if;
if SIGNED_NUM_BITS(R) > L'LENGTH then return 0 < R;
end if;
return SIGNED_LESS(L, TO_SIGNED(R, L'LENGTH));
end "<";
--============================================================================
-- Id: C.13
function "<=" (L, R: UNSIGNED) return BOOLEAN is
variable SIZE: NATURAL := MAX(L'LENGTH, R'LENGTH);
begin
if ((L'LENGTH < 1) or (R'LENGTH < 1)) then
assert NO_WARNING
report "NUMERIC_BIT.""<="": null argument detected, returning FALSE"
severity WARNING;
return FALSE;
end if;
return UNSIGNED_LESS_OR_EQUAL(RESIZE(L, SIZE), RESIZE(R, SIZE));
end "<=";
-- Id: C.14
function "<=" (L, R: SIGNED) return BOOLEAN is
variable SIZE: NATURAL := MAX(L'LENGTH, R'LENGTH);
begin
if ((L'LENGTH < 1) or (R'LENGTH < 1)) then
assert NO_WARNING
report "NUMERIC_BIT.""<="": null argument detected, returning FALSE"
severity WARNING;
return FALSE;
end if;
return SIGNED_LESS_OR_EQUAL(RESIZE(L, SIZE), RESIZE(R, SIZE));
end "<=";
-- Id: C.15
function "<=" (L: NATURAL; R: UNSIGNED) return BOOLEAN is
begin
if (R'LENGTH < 1) then
assert NO_WARNING
report "NUMERIC_BIT.""<="": null argument detected, returning FALSE"
severity WARNING;
return FALSE;
end if;
if UNSIGNED_NUM_BITS(L) > R'LENGTH then return L < 0;
end if;
return UNSIGNED_LESS_OR_EQUAL(TO_UNSIGNED(L, R'LENGTH), R);
end "<=";
-- Id: C.16
function "<=" (L: INTEGER; R: SIGNED) return BOOLEAN is
begin
if (R'LENGTH < 1) then
assert NO_WARNING
report "NUMERIC_BIT.""<="": null argument detected, returning FALSE"
severity WARNING;
return FALSE;
end if;
if SIGNED_NUM_BITS(L) > R'LENGTH then return L < 0;
end if;
return SIGNED_LESS_OR_EQUAL(TO_SIGNED(L, R'LENGTH), R);
end "<=";
-- Id: C.17
function "<=" (L: UNSIGNED; R: NATURAL) return BOOLEAN is
begin
if (L'LENGTH < 1) then
assert NO_WARNING
report "NUMERIC_BIT.""<="": null argument detected, returning FALSE"
severity WARNING;
return FALSE;
end if;
if UNSIGNED_NUM_BITS(R) > L'LENGTH then return 0 < R;
end if;
return UNSIGNED_LESS_OR_EQUAL(L, TO_UNSIGNED(R, L'LENGTH));
end "<=";
-- Id: C.18
function "<=" (L: SIGNED; R: INTEGER) return BOOLEAN is
begin
if (L'LENGTH < 1) then
assert NO_WARNING
report "NUMERIC_BIT.""<="": null argument detected, returning FALSE"
severity WARNING;
return FALSE;
end if;
if SIGNED_NUM_BITS(R) > L'LENGTH then return 0 < R;
end if;
return SIGNED_LESS_OR_EQUAL(L, TO_SIGNED(R, L'LENGTH));
end "<=";
--============================================================================
-- Id: C.19
function ">=" (L, R: UNSIGNED) return BOOLEAN is
variable SIZE: NATURAL := MAX(L'LENGTH, R'LENGTH);
begin
if ((L'LENGTH < 1) or (R'LENGTH < 1)) then
assert NO_WARNING
report "NUMERIC_BIT."">="": null argument detected, returning FALSE"
severity WARNING;
return FALSE;
end if;
return not UNSIGNED_LESS(RESIZE(L, SIZE), RESIZE(R, SIZE));
end ">=";
-- Id: C.20
function ">=" (L, R: SIGNED) return BOOLEAN is
variable SIZE: NATURAL := MAX(L'LENGTH, R'LENGTH);
begin
if ((L'LENGTH < 1) or (R'LENGTH < 1)) then
assert NO_WARNING
report "NUMERIC_BIT."">="": null argument detected, returning FALSE"
severity WARNING;
return FALSE;
end if;
return not SIGNED_LESS(RESIZE(L, SIZE), RESIZE(R, SIZE));
end ">=";
-- Id: C.21
function ">=" (L: NATURAL; R: UNSIGNED) return BOOLEAN is
begin
if (R'LENGTH < 1) then
assert NO_WARNING
report "NUMERIC_BIT."">="": null argument detected, returning FALSE"
severity WARNING;
return FALSE;
end if;
if UNSIGNED_NUM_BITS(L) > R'LENGTH then return L > 0;
end if;
return not UNSIGNED_LESS(TO_UNSIGNED(L, R'LENGTH), R);
end ">=";
-- Id: C.22
function ">=" (L: INTEGER; R: SIGNED) return BOOLEAN is
begin
if (R'LENGTH < 1) then
assert NO_WARNING
report "NUMERIC_BIT."">="": null argument detected, returning FALSE"
severity WARNING;
return FALSE;
end if;
if SIGNED_NUM_BITS(L) > R'LENGTH then return L > 0;
end if;
return not SIGNED_LESS(TO_SIGNED(L, R'LENGTH), R);
end ">=";
-- Id: C.23
function ">=" (L: UNSIGNED; R: NATURAL) return BOOLEAN is
begin
if (L'LENGTH < 1) then
assert NO_WARNING
report "NUMERIC_BIT."">="": null argument detected, returning FALSE"
severity WARNING;
return FALSE;
end if;
if UNSIGNED_NUM_BITS(R) > L'LENGTH then return 0 > R;
end if;
return not UNSIGNED_LESS(L, TO_UNSIGNED(R, L'LENGTH));
end ">=";
-- Id: C.24
function ">=" (L: SIGNED; R: INTEGER) return BOOLEAN is
begin
if (L'LENGTH < 1) then
assert NO_WARNING
report "NUMERIC_BIT."">="": null argument detected, returning FALSE"
severity WARNING;
return FALSE;
end if;
if SIGNED_NUM_BITS(R) > L'LENGTH then return 0 > R;
end if;
return not SIGNED_LESS(L, TO_SIGNED(R, L'LENGTH));
end ">=";
--============================================================================
-- Id: C.25
function "=" (L, R: UNSIGNED) return BOOLEAN is
variable SIZE: NATURAL := MAX(L'LENGTH, R'LENGTH);
begin
if ((L'LENGTH < 1) or (R'LENGTH < 1)) then
assert NO_WARNING
report "NUMERIC_BIT.""="": null argument detected, returning FALSE"
severity WARNING;
return FALSE;
end if;
return UNSIGNED_EQUAL(RESIZE(L, SIZE), RESIZE(R, SIZE));
end "=";
-- Id: C.26
function "=" (L, R: SIGNED) return BOOLEAN is
variable SIZE: NATURAL := MAX(L'LENGTH, R'LENGTH);
begin
if ((L'LENGTH < 1) or (R'LENGTH < 1)) then
assert NO_WARNING
report "NUMERIC_BIT.""="": null argument detected, returning FALSE"
severity WARNING;
return FALSE;
end if;
return SIGNED_EQUAL(RESIZE(L, SIZE), RESIZE(R, SIZE));
end "=";
-- Id: C.27
function "=" (L: NATURAL; R: UNSIGNED) return BOOLEAN is
begin
if (R'LENGTH < 1) then
assert NO_WARNING
report "NUMERIC_BIT.""="": null argument detected, returning FALSE"
severity WARNING;
return FALSE;
end if;
if UNSIGNED_NUM_BITS(L) > R'LENGTH then return FALSE;
end if;
return UNSIGNED_EQUAL(TO_UNSIGNED(L, R'LENGTH), R);
end "=";
-- Id: C.28
function "=" (L: INTEGER; R: SIGNED) return BOOLEAN is
begin
if (R'LENGTH < 1) then
assert NO_WARNING
report "NUMERIC_BIT.""="": null argument detected, returning FALSE"
severity WARNING;
return FALSE;
end if;
if SIGNED_NUM_BITS(L) > R'LENGTH then return FALSE;
end if;
return SIGNED_EQUAL(TO_SIGNED(L, R'LENGTH), R);
end "=";
-- Id: C.29
function "=" (L: UNSIGNED; R: NATURAL) return BOOLEAN is
begin
if (L'LENGTH < 1) then
assert NO_WARNING
report "NUMERIC_BIT.""="": null argument detected, returning FALSE"
severity WARNING;
return FALSE;
end if;
if UNSIGNED_NUM_BITS(R) > L'LENGTH then return FALSE;
end if;
return UNSIGNED_EQUAL(L, TO_UNSIGNED(R, L'LENGTH));
end "=";
-- Id: C.30
function "=" (L: SIGNED; R: INTEGER) return BOOLEAN is
begin
if (L'LENGTH < 1) then
assert NO_WARNING
report "NUMERIC_BIT.""="": null argument detected, returning FALSE"
severity WARNING;
return FALSE;
end if;
if SIGNED_NUM_BITS(R) > L'LENGTH then return FALSE;
end if;
return SIGNED_EQUAL(L, TO_SIGNED(R, L'LENGTH));
end "=";
--============================================================================
-- Id: C.31
function "/=" (L, R: UNSIGNED) return BOOLEAN is
variable SIZE: NATURAL := MAX(L'LENGTH, R'LENGTH);
begin
if ((L'LENGTH < 1) or (R'LENGTH < 1)) then
assert NO_WARNING
report "NUMERIC_BIT.""/="": null argument detected, returning TRUE"
severity WARNING;
return TRUE;
end if;
return not(UNSIGNED_EQUAL(RESIZE(L, SIZE), RESIZE(R, SIZE)));
end "/=";
-- Id: C.32
function "/=" (L, R: SIGNED) return BOOLEAN is
variable SIZE: NATURAL := MAX(L'LENGTH, R'LENGTH);
begin
if ((L'LENGTH < 1) or (R'LENGTH < 1)) then
assert NO_WARNING
report "NUMERIC_BIT.""/="": null argument detected, returning TRUE"
severity WARNING;
return TRUE;
end if;
return not(SIGNED_EQUAL(RESIZE(L, SIZE), RESIZE(R, SIZE)));
end "/=";
-- Id: C.33
function "/=" (L: NATURAL; R: UNSIGNED) return BOOLEAN is
begin
if (R'LENGTH < 1) then
assert NO_WARNING
report "NUMERIC_BIT.""/="": null argument detected, returning TRUE"
severity WARNING;
return TRUE;
end if;
if UNSIGNED_NUM_BITS(L) > R'LENGTH then return TRUE;
end if;
return not(UNSIGNED_EQUAL(TO_UNSIGNED(L, R'LENGTH), R));
end "/=";
-- Id: C.34
function "/=" (L: INTEGER; R: SIGNED) return BOOLEAN is
begin
if (R'LENGTH < 1) then
assert NO_WARNING
report "NUMERIC_BIT.""/="": null argument detected, returning TRUE"
severity WARNING;
return TRUE;
end if;
if SIGNED_NUM_BITS(L) > R'LENGTH then return TRUE;
end if;
return not(SIGNED_EQUAL(TO_SIGNED(L, R'LENGTH), R));
end "/=";
-- Id: C.35
function "/=" (L: UNSIGNED; R: NATURAL) return BOOLEAN is
begin
if (L'LENGTH < 1) then
assert NO_WARNING
report "NUMERIC_BIT.""/="": null argument detected, returning TRUE"
severity WARNING;
return TRUE;
end if;
if UNSIGNED_NUM_BITS(R) > L'LENGTH then return TRUE;
end if;
return not(UNSIGNED_EQUAL(L, TO_UNSIGNED(R, L'LENGTH)));
end "/=";
-- Id: C.36
function "/=" (L: SIGNED; R: INTEGER) return BOOLEAN is
begin
if (L'LENGTH < 1) then
assert NO_WARNING
report "NUMERIC_BIT.""/="": null argument detected, returning TRUE"
severity WARNING;
return TRUE;
end if;
if SIGNED_NUM_BITS(R) > L'LENGTH then return TRUE;
end if;
return not(SIGNED_EQUAL(L, TO_SIGNED(R, L'LENGTH)));
end "/=";
--============================================================================
-- Id: S.1
function SHIFT_LEFT (ARG: UNSIGNED; COUNT: NATURAL) return UNSIGNED is
begin
if (ARG'LENGTH < 1) then return NAU;
end if;
return UNSIGNED(XSLL(BIT_VECTOR(ARG), COUNT));
end SHIFT_LEFT;
-- Id: S.2
function SHIFT_RIGHT (ARG: UNSIGNED; COUNT: NATURAL) return UNSIGNED is
begin
if (ARG'LENGTH < 1) then return NAU;
end if;
return UNSIGNED(XSRL(BIT_VECTOR(ARG), COUNT));
end SHIFT_RIGHT;
-- Id: S.3
function SHIFT_LEFT (ARG: SIGNED; COUNT: NATURAL) return SIGNED is
begin
if (ARG'LENGTH < 1) then return NAS;
end if;
return SIGNED(XSLL(BIT_VECTOR(ARG), COUNT));
end SHIFT_LEFT;
-- Id: S.4
function SHIFT_RIGHT (ARG: SIGNED; COUNT: NATURAL) return SIGNED is
begin
if (ARG'LENGTH < 1) then return NAS;
end if;
return SIGNED(XSRA(BIT_VECTOR(ARG), COUNT));
end SHIFT_RIGHT;
--============================================================================
-- Id: S.5
function ROTATE_LEFT (ARG: UNSIGNED; COUNT: NATURAL) return UNSIGNED is
begin
if (ARG'LENGTH < 1) then return NAU;
end if;
return UNSIGNED(XROL(BIT_VECTOR(ARG), COUNT));
end ROTATE_LEFT;
-- Id: S.6
function ROTATE_RIGHT (ARG: UNSIGNED; COUNT: NATURAL) return UNSIGNED is
begin
if (ARG'LENGTH < 1) then return NAU;
end if;
return UNSIGNED(XROR(BIT_VECTOR(ARG), COUNT));
end ROTATE_RIGHT;
-- Id: S.7
function ROTATE_LEFT (ARG: SIGNED; COUNT: NATURAL) return SIGNED is
begin
if (ARG'LENGTH < 1) then return NAS;
end if;
return SIGNED(XROL(BIT_VECTOR(ARG), COUNT));
end ROTATE_LEFT;
-- Id: S.8
function ROTATE_RIGHT (ARG: SIGNED; COUNT: NATURAL) return SIGNED is
begin
if (ARG'LENGTH < 1) then return NAS;
end if;
return SIGNED(XROR(BIT_VECTOR(ARG), COUNT));
end ROTATE_RIGHT;
--============================================================================
------------------------------------------------------------------------------
-- Note : Function S.9 is not compatible with VHDL 1076-1987. Comment
-- out the function (declaration and body) for VHDL 1076-1987 compatibility.
------------------------------------------------------------------------------
-- Id: S.9
function "sll" (ARG: UNSIGNED; COUNT: INTEGER) return UNSIGNED is
begin
if (COUNT >= 0) then
return SHIFT_LEFT(ARG, COUNT);
else
return SHIFT_RIGHT(ARG, -COUNT);
end if;
end "sll";
------------------------------------------------------------------------------
-- Note : Function S.10 is not compatible with VHDL 1076-1987. Comment
-- out the function (declaration and body) for VHDL 1076-1987 compatibility.
------------------------------------------------------------------------------
-- Id: S.10
function "sll" (ARG: SIGNED; COUNT: INTEGER) return SIGNED is
begin
if (COUNT >= 0) then
return SHIFT_LEFT(ARG, COUNT);
else
return SIGNED(SHIFT_RIGHT(UNSIGNED(ARG), -COUNT));
end if;
end "sll";
------------------------------------------------------------------------------
-- Note : Function S.11 is not compatible with VHDL 1076-1987. Comment
-- out the function (declaration and body) for VHDL 1076-1987 compatibility.
------------------------------------------------------------------------------
-- Id: S.11
function "srl" (ARG: UNSIGNED; COUNT: INTEGER) return UNSIGNED is
begin
if (COUNT >= 0) then
return SHIFT_RIGHT(ARG, COUNT);
else
return SHIFT_LEFT(ARG, -COUNT);
end if;
end "srl";
------------------------------------------------------------------------------
-- Note : Function S.12 is not compatible with VHDL 1076-1987. Comment
-- out the function (declaration and body) for VHDL 1076-1987 compatibility.
------------------------------------------------------------------------------
-- Id: S.12
function "srl" (ARG: SIGNED; COUNT: INTEGER) return SIGNED is
begin
if (COUNT >= 0) then
return SIGNED(SHIFT_RIGHT(UNSIGNED(ARG), COUNT));
else
return SHIFT_LEFT(ARG, -COUNT);
end if;
end "srl";
------------------------------------------------------------------------------
-- Note : Function S.13 is not compatible with VHDL 1076-1987. Comment
-- out the function (declaration and body) for VHDL 1076-1987 compatibility.
------------------------------------------------------------------------------
-- Id: S.13
function "rol" (ARG: UNSIGNED; COUNT: INTEGER) return UNSIGNED is
begin
if (COUNT >= 0) then
return ROTATE_LEFT(ARG, COUNT);
else
return ROTATE_RIGHT(ARG, -COUNT);
end if;
end "rol";
------------------------------------------------------------------------------
-- Note : Function S.14 is not compatible with VHDL 1076-1987. Comment
-- out the function (declaration and body) for VHDL 1076-1987 compatibility.
------------------------------------------------------------------------------
-- Id: S.14
function "rol" (ARG: SIGNED; COUNT: INTEGER) return SIGNED is
begin
if (COUNT >= 0) then
return ROTATE_LEFT(ARG, COUNT);
else
return ROTATE_RIGHT(ARG, -COUNT);
end if;
end "rol";
------------------------------------------------------------------------------
-- Note : Function S.15 is not compatible with VHDL 1076-1987. Comment
-- out the function (declaration and body) for VHDL 1076-1987 compatibility.
------------------------------------------------------------------------------
-- Id: S.15
function "ror" (ARG: UNSIGNED; COUNT: INTEGER) return UNSIGNED is
begin
if (COUNT >= 0) then
return ROTATE_RIGHT(ARG, COUNT);
else
return ROTATE_LEFT(ARG, -COUNT);
end if;
end "ror";
------------------------------------------------------------------------------
-- Note : Function S.16 is not compatible with VHDL 1076-1987. Comment
-- out the function (declaration and body) for VHDL 1076-1987 compatibility.
------------------------------------------------------------------------------
-- Id: S.16
function "ror" (ARG: SIGNED; COUNT: INTEGER) return SIGNED is
begin
if (COUNT >= 0) then
return ROTATE_RIGHT(ARG, COUNT);
else
return ROTATE_LEFT(ARG, -COUNT);
end if;
end "ror";
--============================================================================
-- Id: D.1
function TO_INTEGER (ARG: UNSIGNED) return NATURAL is
constant ARG_LEFT: INTEGER := ARG'LENGTH-1;
alias XARG: UNSIGNED(ARG_LEFT downto 0) is ARG;
variable RESULT: NATURAL := 0;
begin
if (ARG'LENGTH < 1) then
assert NO_WARNING
report "NUMERIC_BIT.TO_INTEGER: null detected, returning 0"
severity WARNING;
return 0;
end if;
for I in XARG'RANGE loop
RESULT := RESULT+RESULT;
if XARG(I) = '1' then
RESULT := RESULT + 1;
end if;
end loop;
return RESULT;
end TO_INTEGER;
-- Id: D.2
function TO_INTEGER (ARG: SIGNED) return INTEGER is
begin
if (ARG'LENGTH < 1) then
assert NO_WARNING
report "NUMERIC_BIT.TO_INTEGER: null detected, returning 0"
severity WARNING;
return 0;
end if;
if ARG(ARG'LEFT) = '0' then
return TO_INTEGER(UNSIGNED(ARG));
else
return (- (TO_INTEGER(UNSIGNED(- (ARG + 1)))) -1);
end if;
end TO_INTEGER;
-- Id: D.3
function TO_UNSIGNED (ARG, SIZE: NATURAL) return UNSIGNED is
variable RESULT: UNSIGNED(SIZE-1 downto 0);
variable I_VAL: NATURAL := ARG;
begin
if (SIZE < 1) then return NAU;
end if;
for I in 0 to RESULT'LEFT loop
if (I_VAL mod 2) = 0 then
RESULT(I) := '0';
else RESULT(I) := '1';
end if;
I_VAL := I_VAL/2;
end loop;
if not(I_VAL =0) then
assert NO_WARNING
report "NUMERIC_BIT.TO_UNSIGNED: vector truncated"
severity WARNING;
end if;
return RESULT;
end TO_UNSIGNED;
-- Id: D.4
function TO_SIGNED (ARG: INTEGER;
SIZE: NATURAL) return SIGNED is
variable RESULT: SIGNED(SIZE-1 downto 0);
variable B_VAL: BIT := '0';
variable I_VAL: INTEGER := ARG;
begin
if (SIZE < 1) then return NAS;
end if;
if (ARG < 0) then
B_VAL := '1';
I_VAL := -(ARG+1);
end if;
for I in 0 to RESULT'LEFT loop
if (I_VAL mod 2) = 0 then
RESULT(I) := B_VAL;
else
RESULT(I) := not B_VAL;
end if;
I_VAL := I_VAL/2;
end loop;
if ((I_VAL/=0) or (B_VAL/=RESULT(RESULT'LEFT))) then
assert NO_WARNING
report "NUMERIC_BIT.TO_SIGNED: vector truncated"
severity WARNING;
end if;
return RESULT;
end TO_SIGNED;
--============================================================================
-- Id: R.1
function RESIZE (ARG: SIGNED; NEW_SIZE: NATURAL) return SIGNED is
alias INVEC: SIGNED(ARG'LENGTH-1 downto 0) is ARG;
variable RESULT: SIGNED(NEW_SIZE-1 downto 0) := (others => '0');
constant BOUND: INTEGER := MIN(ARG'LENGTH, RESULT'LENGTH)-2;
begin
if (NEW_SIZE < 1) then return NAS;
end if;
if (ARG'LENGTH = 0) then return RESULT;
end if;
RESULT := (others => ARG(ARG'LEFT));
if BOUND >= 0 then
RESULT(BOUND downto 0) := INVEC(BOUND downto 0);
end if;
return RESULT;
end RESIZE;
-- Id: R.2
function RESIZE (ARG: UNSIGNED; NEW_SIZE: NATURAL) return UNSIGNED is
constant ARG_LEFT: INTEGER := ARG'LENGTH-1;
alias XARG: UNSIGNED(ARG_LEFT downto 0) is ARG;
variable RESULT: UNSIGNED(NEW_SIZE-1 downto 0) := (others => '0');
begin
if (NEW_SIZE < 1) then return NAU;
end if;
if XARG'LENGTH =0 then return RESULT;
end if;
if (RESULT'LENGTH < ARG'LENGTH) then
RESULT(RESULT'LEFT downto 0) := XARG(RESULT'LEFT downto 0);
else
RESULT(RESULT'LEFT downto XARG'LEFT+1) := (others => '0');
RESULT(XARG'LEFT downto 0) := XARG;
end if;
return RESULT;
end RESIZE;
--============================================================================
-- Id: L.1
function "not" (L: UNSIGNED) return UNSIGNED is
variable RESULT: UNSIGNED(L'LENGTH-1 downto 0);
begin
RESULT := UNSIGNED(not(BIT_VECTOR(L)));
return RESULT;
end "not";
-- Id: L.2
function "and" (L, R: UNSIGNED) return UNSIGNED is
variable RESULT: UNSIGNED(L'LENGTH-1 downto 0);
begin
RESULT := UNSIGNED(BIT_VECTOR(L) and BIT_VECTOR(R));
return RESULT;
end "and";
-- Id: L.3
function "or" (L, R: UNSIGNED) return UNSIGNED is
variable RESULT: UNSIGNED(L'LENGTH-1 downto 0);
begin
RESULT := UNSIGNED(BIT_VECTOR(L) or BIT_VECTOR(R));
return RESULT;
end "or";
-- Id: L.4
function "nand" (L, R: UNSIGNED) return UNSIGNED is
variable RESULT: UNSIGNED(L'LENGTH-1 downto 0);
begin
RESULT := UNSIGNED(BIT_VECTOR(L) nand BIT_VECTOR(R));
return RESULT;
end "nand";
-- Id: L.5
function "nor" (L, R: UNSIGNED) return UNSIGNED is
variable RESULT: UNSIGNED(L'LENGTH-1 downto 0);
begin
RESULT := UNSIGNED(BIT_VECTOR(L) nor BIT_VECTOR(R));
return RESULT;
end "nor";
-- Id: L.6
function "xor" (L, R: UNSIGNED) return UNSIGNED is
variable RESULT: UNSIGNED(L'LENGTH-1 downto 0);
begin
RESULT := UNSIGNED(BIT_VECTOR(L) xor BIT_VECTOR(R));
return RESULT;
end "xor";
------------------------------------------------------------------------------
-- Note : Function L.7 is not compatible with VHDL 1076-1987. Comment
-- out the function (declaration and body) for VHDL 1076-1987 compatibility.
------------------------------------------------------------------------------
-- Id: L.7
function "xnor" (L, R: UNSIGNED) return UNSIGNED is
variable RESULT: UNSIGNED(L'LENGTH-1 downto 0);
begin
RESULT := UNSIGNED(BIT_VECTOR(L) xnor BIT_VECTOR(R));
return RESULT;
end "xnor";
-- Id: L.8
function "not" (L: SIGNED) return SIGNED is
variable RESULT: SIGNED(L'LENGTH-1 downto 0);
begin
RESULT := SIGNED(not(BIT_VECTOR(L)));
return RESULT;
end "not";
-- Id: L.9
function "and" (L, R: SIGNED) return SIGNED is
variable RESULT: SIGNED(L'LENGTH-1 downto 0);
begin
RESULT := SIGNED(BIT_VECTOR(L) and BIT_VECTOR(R));
return RESULT;
end "and";
-- Id: L.10
function "or" (L, R: SIGNED) return SIGNED is
variable RESULT: SIGNED(L'LENGTH-1 downto 0);
begin
RESULT := SIGNED(BIT_VECTOR(L) or BIT_VECTOR(R));
return RESULT;
end "or";
-- Id: L.11
function "nand" (L, R: SIGNED) return SIGNED is
variable RESULT: SIGNED(L'LENGTH-1 downto 0);
begin
RESULT := SIGNED(BIT_VECTOR(L) nand BIT_VECTOR(R));
return RESULT;
end "nand";
-- Id: L.12
function "nor" (L, R: SIGNED) return SIGNED is
variable RESULT: SIGNED(L'LENGTH-1 downto 0);
begin
RESULT := SIGNED(BIT_VECTOR(L) nor BIT_VECTOR(R));
return RESULT;
end "nor";
-- Id: L.13
function "xor" (L, R: SIGNED) return SIGNED is
variable RESULT: SIGNED(L'LENGTH-1 downto 0);
begin
RESULT := SIGNED(BIT_VECTOR(L) xor BIT_VECTOR(R));
return RESULT;
end "xor";
------------------------------------------------------------------------------
-- Note : Function L.14 is not compatible with VHDL 1076-1987. Comment
-- out the function (declaration and body) for VHDL 1076-1987 compatibility.
------------------------------------------------------------------------------
-- Id: L.14
function "xnor" (L, R: SIGNED) return SIGNED is
variable RESULT: SIGNED(L'LENGTH-1 downto 0);
begin
RESULT := SIGNED(BIT_VECTOR(L) xnor BIT_VECTOR(R));
return RESULT;
end "xnor";
--============================================================================
-- Id: E.1
function RISING_EDGE (signal S: BIT) return BOOLEAN is
begin
return S'EVENT and S = '1';
end RISING_EDGE;
-- Id: E.2
function FALLING_EDGE (signal S: BIT) return BOOLEAN is
begin
return S'EVENT and S = '0';
end FALLING_EDGE;
--============================================================================
end NUMERIC_BIT;
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