-- ----------------------------------------------------------------------------
-- Title : NUMERIC_STD arithmetic package for synthesis
-- : Rev. 1.7 (Nov. 23 1994)
-- :
-- 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 UNSIGNED number in vector form
-- : --> SIGNED : represents a SIGNED number in vector form
-- : The base element type is type STD_LOGIC.
-- : 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.
-- :
-- : If any argument to a function is a null array, a null array is
-- : returned (exceptions, if any, are noted individually).
-- :
-- Note : No declarations or definitions shall be included in, or
-- : excluded from, this package. The package declaration declares
-- : the functions that can be used by a user. The 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.
-- :
-- ----------------------------------------------------------------------------
library ieee;
use ieee.STD_LOGIC_1164.all;
Package numeric_std is
--===========================================================================
-- Numeric array type definitions
--===========================================================================
type UNSIGNED is array ( NATURAL range <> ) of STD_LOGIC;
type SIGNED is array ( NATURAL range <> ) of STD_LOGIC;
--===========================================================================
-- Arithmetic Operators:
--===========================================================================
-- Id: A.1
function "abs" ( X : SIGNED) return SIGNED;
-- Result subtype: SIGNED(X'LENGTH-1 downto 0).
-- Result: Returns the absolute value of a SIGNED vector X.
-- 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, then R 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, then L 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, then R 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, then L 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(L'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(L'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, then R 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, then L 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, then R 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, then L 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(L'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(L'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, then R 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, then L 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, then R 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, then L 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.
-- All bits of ARG, except ARG'LEFT, are shifted left 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.
--============================================================================
-- RESIZE Functions
--============================================================================
-- Id: R.1
function RESIZE ( ARG: SIGNED; NEW_SIZE: NATURAL) return SIGNED;
-- Result subtype: SIGNED(ARG'LENGTH-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(ARG'LENGTH-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 '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.
-- Id: D.5
function TO_UNSIGNED ( ARG: STD_LOGIC_VECTOR) return UNSIGNED;
-- Result subtype: UNSIGNED, same range as input ARG
-- Result: Converts STD_LOGIC_VECTOR to UNSIGNED.
-- Id: D.6
function TO_SIGNED ( ARG: STD_LOGIC_VECTOR) return SIGNED;
-- Result subtype: SIGNED, same range as input ARG
-- Result: Converts STD_LOGIC_VECTOR to SIGNED.
-- Id: D.7
function TO_STDLOGICVECTOR ( ARG: UNSIGNED) return STD_LOGIC_VECTOR;
-- Result subtype: STD_LOGIC_VECTOR, same range as input ARG
-- Result: Converts UNSIGNED to STD_LOGIC_VECTOR.
-- Id: D.8
function TO_STDLOGICVECTOR ( ARG: SIGNED) return STD_LOGIC_VECTOR;
-- Result subtype: STD_LOGIC_VECTOR, same range as input ARG
-- Result: Converts SIGNED to STD_LOGIC_VECTOR.
--============================================================================
-- Logical Operators
--============================================================================
-- Id: L.1
function "not" ( L: UNSIGNED ) return UNSIGNED;
-- Result subtype: UNSIGNED, same range as input L
-- Result: Termwise inversion
-- Id: L.2
function "and" ( L,R: UNSIGNED ) return UNSIGNED;
-- Result subtype: UNSIGNED, same range as input L
-- Result: Vector AND operation
-- Id: L.3
function "or" ( L,R: UNSIGNED ) return UNSIGNED;
-- Result subtype: UNSIGNED, same range as input L
-- Result: Vector OR operation
-- Id: L.4
function "nand" ( L,R: UNSIGNED ) return UNSIGNED;
-- Result subtype: UNSIGNED, same range as input L
-- Result: Vector NAND operation
-- Id: L.5
function "nor" ( L,R: UNSIGNED ) return UNSIGNED;
-- Result subtype: UNSIGNED, same range as input L
-- Result: Vector NOR operation
-- Id: L.6
function "xor" ( L,R: UNSIGNED ) return UNSIGNED;
-- Result subtype: UNSIGNED, same range as input L
-- Result: Vector XOR operation
-- -----------------------------------------------------------------------
-- Note : The declaration and implementation of the "xnor" function is
-- specifically commented until at which time the VHDL language has been
-- officially adopted as containing such a function. At such a point,
-- the following comments may be removed along with this notice without
-- further "official" ballotting of this 1076.3 package. It is
-- the intent of this effort to provide such a function once it becomes
-- available in the VHDL standard.
-- -----------------------------------------------------------------------
-- Id: L.7
-- function "xnor" ( L,R: UNSIGNED ) return UNSIGNED;
-- Result subtype: UNSIGNED, same range as input L
-- Result: Vector XNOR operation
-- Id: L.8
function "not" ( L: SIGNED) return SIGNED;
-- Result subtype: SIGNED, same range as input L
-- Result: Termwise inversion
-- Id: L.9
function "and" ( L,R: SIGNED ) return SIGNED;
-- Result subtype: SIGNED, same range as input L
-- Result: Vector AND operation
-- Id: L.10
function "or" ( L,R: SIGNED ) return SIGNED;
-- Result subtype: SIGNED, same range as input L
-- Result: Vector OR operation
-- Id: L.11
function "nand" ( L,R: SIGNED ) return SIGNED;
-- Result subtype: SIGNED, same range as input L
-- Result: Vector NAND operation
-- Id: L.12
function "nor" ( L,R: SIGNED ) return SIGNED;
-- Result subtype: SIGNED, same range as input L
-- Result: Vector NOR operation
-- Id: L.13
function "xor" ( L,R: SIGNED ) return SIGNED;
-- Result subtype: SIGNED, same range as input L
-- Result: Vector XOR operation
-- -----------------------------------------------------------------------
-- Note : The declaration and implementation of the "xnor" function is
-- specifically commented until at which time the VHDL language has been
-- officially adopted as containing such a function. At such a point,
-- the following comments may be removed along with this notice without
-- further "official" ballotting of this 1076.3 package. It is
-- the intent of this effort to provide such a function once it becomes
-- available in the VHDL standard.
-- -----------------------------------------------------------------------
-- Id: L.14
-- function "xnor" ( L,R: SIGNED ) return SIGNED;
-- Result subtype: SIGNED, same range as input L
-- Result: Vector XNOR operation
--============================================================================
-- Match Functions
--============================================================================
-- Id: M.1
function STD_MATCH (L, R: STD_ULOGIC) return BOOLEAN;
-- Result: terms compared per STD_LOGIC_1164 intent
-- Id: M.2
function STD_MATCH (L, R: STD_LOGIC_VECTOR) return BOOLEAN;
-- Result: termwise comparison per STD_LOGIC_1164 intent
end numeric_std;
--=============================================================================
--======================= Package Body ===============================
--=============================================================================
Package body numeric_std 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;
function MIN(LEFT, RIGHT: INTEGER) return INTEGER is
begin
if LEFT < RIGHT then return LEFT;
else return RIGHT;
end if;
end;
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;
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;
------------------------------------------------------------------------
-- 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: STD_LOGIC ) 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 : STD_LOGIC:= 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: STD_LOGIC ) 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: STD_LOGIC:= 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-1 downto 0);
variable quot: UNSIGNED(MAX(num'length,XDENOM'length)-1 downto 0);
variable diff: UNSIGNED(XDENOM'length downto 0);
alias DENOM : UNSIGNED (XDENOM'length-1 downto 0) is XDENOM;
variable CARRY: STD_LOGIC;
variable TOPBIT: natural;
variable isZero: boolean;
begin
isZero:=TRUE;
for j in XDENOM'range loop
CARRY:=DENOM(j);
if CARRY/='0' then
isZero:=FALSE;
end if;
end loop;
assert not isZero
report "DIV,MOD,or REM by zero"
severity error;
TEMP:=num;
quot:= (others =>'0');
TOPBIT:=0;
for j in DENOM'range loop
if DENOM(j)='1' then
TOPBIT:=j;
exit;
end if;
end loop;
CARRY:='0';
for j in num'length-(TOPBIT+1) downto 0 loop
-- lexical ordering works okay for this comparison, no overloaded
-- function is needed.
if CARRY&TEMP(TOPBIT+j downto j) >= "0"&DENOM(TOPBIT downto 0) then
diff(TOPBIT+1 downto 0) := (CARRY&TEMP(TOPBIT+j downto j))
-("0"&DENOM(TOPBIT downto 0));
assert diff(TOPBIT+1)='0'
report "internal error in the division algorithm"
severity error;
CARRY:=diff(TOPBIT);
if TOPBIT+j+1<=TEMP'left then
TEMP(TOPBIT+j+1):='0';
end if;
TEMP(TOPBIT+j downto j):=diff(TOPBIT downto 0);
quot(j):='1';
else
assert CARRY='0'
report "internal error in the division algorithm"
severity error;
CARRY:=TEMP(TOPBIT+j);
end if;
end loop;
xquot:=quot(num'length-1 downto 0);
xremain:=TEMP(num'length-1 downto 0);
end divMod;
-----------------Local Subprograms - shift/rotate ops-------------------------
function XSLL(ARG: STD_LOGIC_VECTOR; COUNT: NATURAL) return STD_LOGIC_VECTOR is
constant ARG_L:INTEGER:= ARG'length-1;
alias XARG: STD_LOGIC_VECTOR(ARG_L downto 0) is ARG;
variable RESULT: STD_LOGIC_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;
function XSRL(ARG: STD_LOGIC_VECTOR; COUNT: NATURAL) return STD_LOGIC_VECTOR is
constant ARG_L:INTEGER:= ARG'length-1;
alias XARG: STD_LOGIC_VECTOR(ARG_L downto 0) is ARG;
variable RESULT: STD_LOGIC_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;
function XSRA(ARG: STD_LOGIC_VECTOR; COUNT: NATURAL) return STD_LOGIC_VECTOR is
constant ARG_L:INTEGER:= ARG'length-1;
alias XARG: STD_LOGIC_VECTOR(ARG_L downto 0) is ARG;
variable RESULT: STD_LOGIC_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;
function XROL(ARG: STD_LOGIC_VECTOR; COUNT: NATURAL) return STD_LOGIC_VECTOR is
constant ARG_L:INTEGER:= ARG'length-1;
alias XARG: STD_LOGIC_VECTOR(ARG_L downto 0) is ARG;
variable RESULT: STD_LOGIC_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;
function XROR(ARG: STD_LOGIC_VECTOR; COUNT: NATURAL) return STD_LOGIC_VECTOR is
constant ARG_L:INTEGER:= ARG'length-1;
alias XARG: STD_LOGIC_VECTOR(ARG_L downto 0) is ARG;
variable RESULT: STD_LOGIC_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;
-----------------Local Subprograms - Relational ops--------------------------
--
-- General "=" for UNSIGNED vectors, same length
--
function UNSIGNED_equal ( L,R: UNSIGNED) return BOOLEAN is
begin
return STD_LOGIC_VECTOR (L) = STD_LOGIC_VECTOR (R) ;
end;
--
-- General "=" for SIGNED vectors, same length
--
function SIGNED_equal ( L,R: SIGNED) return BOOLEAN is
begin
return STD_LOGIC_VECTOR (L) = STD_LOGIC_VECTOR (R) ;
end;
--
-- General "<" for UNSIGNED vectors, same length
--
function UNSIGNED_LESS ( L,R: UNSIGNED) return BOOLEAN is
begin
return STD_LOGIC_VECTOR (L) < STD_LOGIC_VECTOR (R) ;
end UNSIGNED_LESS ;
--
-- General "<" function for SIGNED vectors, same length
--
function SIGNED_LESS ( L,R: SIGNED) return BOOLEAN is
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 STD_LOGIC_VECTOR (intern_L) < STD_LOGIC_VECTOR (intern_R) ;
end;
--
-- General "<=" function for UNSIGNED vectors, same length
--
function UNSIGNED_LESS_OR_EQUAL ( L,R: UNSIGNED) return BOOLEAN is
begin
return STD_LOGIC_VECTOR (L) <= STD_LOGIC_VECTOR (R) ;
end;
--
-- General "<=" function for SIGNED vectors, same length
--
function SIGNED_LESS_OR_EQUAL ( L,R: SIGNED) return BOOLEAN is
-- Need aliasses 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 STD_LOGIC_VECTOR (intern_L) <= STD_LOGIC_VECTOR (intern_R) ;
end;
-- 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).
-- Assume the vector is normalized and non-null.
-- The function is duplicated for SIGNED and UNSIGNED types.
function TO_01(S : SIGNED ; xmap : STD_LOGIC:= '0') return SIGNED is
variable RESULT: SIGNED(S'length-1 downto 0);
variable bad_element : boolean := FALSE;
alias xs : SIGNED(s'length-1 downto 0) is S;
begin
for i in RESULT'range loop
case xs(i) is
when '0' | 'L' => RESULT(i):='0';
when '1' | 'H' => RESULT(i):='1';
when others => bad_element := TRUE;
end case;
end loop;
if bad_element then
assert NO_WARNING
report "numeric_std.TO_01: Array Element not in {0,1,H,L}"
severity warning;
for i in RESULT'range loop
RESULT(i) := xmap; -- standard fixup
end loop;
end if;
return RESULT;
end TO_01;
function TO_01(S : UNSIGNED ; xmap : STD_LOGIC:= '0') return UNSIGNED is
variable RESULT: UNSIGNED(S'length-1 downto 0);
variable bad_element : boolean := FALSE;
alias xs : UNSIGNED(S'length-1 downto 0) is S;
begin
for i in RESULT'range loop
case xs(i) is
when '0' | 'L' => RESULT(i):='0';
when '1' | 'H' => RESULT(i):='1';
when others => bad_element := TRUE;
end case;
end loop;
if bad_element then
assert NO_WARNING
report "numeric_std.TO_01: Array Element not in {0,1,H,L}"
severity warning;
for i in RESULT'range loop
RESULT(i) := xmap; -- standard fixup
end loop;
end if;
return RESULT;
end TO_01;
--=========================Exported Functions=================================
-- Id: A.1
function "abs" ( X : SIGNED) return SIGNED is
constant ARG_LEFT:INTEGER:= X'length-1;
alias XX : SIGNED(ARG_LEFT downto 0) is X;
variable RESULT: SIGNED (ARG_LEFT downto 0);
begin
if X'length<1 then return NAS; end if;
RESULT:=TO_01(xx,'X');
if (RESULT(RESULT'left)='X') then return RESULT; end if;
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,XARG01 : SIGNED(ARG_LEFT downto 0);
variable CBIT : STD_LOGIC:= '1';
begin
if ARG'length<1 then return NAS; end if;
XARG01 := TO_01(ARG,'X');
if (XARG01(XARG01'left)='X') then return XARG01; end if;
for i in 0 to RESULT'left loop
RESULT(i) := not(XARG01(i)) xor CBIT;
CBIT := CBIT and not(XARG01(i));
end loop;
return RESULT;
end; -- "-"
--=============================================================================
-- Id: A.3
function "+" ( L,R: UNSIGNED ) return UNSIGNED is
constant SIZE: NATURAL:= MAX (L'LENGTH, R'LENGTH) ;
variable L01 : UNSIGNED(SIZE-1 downto 0);
variable R01 : UNSIGNED(SIZE-1 downto 0);
begin
if ((L'length<1) or (R'length<1)) then return NAU; end if;
L01 := TO_01(RESIZE(L,SIZE),'X');
if (L01(L01'left)='X') then return L01; end if;
R01 := TO_01(RESIZE(R,SIZE),'X');
if (R01(R01'left)='X') then return R01; end if;
return ADD_UNSIGNED (L01, R01, '0') ;
end;
-- Id: A.4
function "+" ( L,R: SIGNED ) return SIGNED is
constant SIZE: NATURAL:= MAX (L'LENGTH, R'LENGTH) ;
variable L01 : SIGNED(SIZE-1 downto 0);
variable R01 : SIGNED(SIZE-1 downto 0);
begin
if ((L'length<1) or (R'length<1)) then return NAS; end if;
L01 := TO_01(RESIZE(L,SIZE),'X');
if (L01(L01'left)='X') then return L01; end if;
R01 := TO_01(RESIZE(R,SIZE),'X');
if (R01(R01'left)='X') then return R01; end if;
return ADD_SIGNED (L01, R01, '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 SIZE: NATURAL:= MAX (L'LENGTH, R'LENGTH) ;
variable L01 : UNSIGNED(SIZE-1 downto 0);
variable R01 : UNSIGNED(SIZE-1 downto 0);
begin
if ((L'length<1) or (R'length<1)) then return NAU; end if;
L01 := TO_01(RESIZE(L,SIZE),'X');
if (L01(L01'left)='X') then return L01; end if;
R01 := TO_01(RESIZE(R,SIZE),'X');
if (R01(R01'left)='X') then return R01; end if;
return ADD_UNSIGNED (L01,not(R01),'1');
end;
-- Id: A.10
function "-" ( L,R: SIGNED) return SIGNED is
constant SIZE: NATURAL:= MAX (L'LENGTH, R'LENGTH) ;
variable L01 : SIGNED(SIZE-1 downto 0);
variable R01 : SIGNED(SIZE-1 downto 0);
begin
if ((L'length<1) or (R'length<1)) then return NAS; end if;
L01 := TO_01(RESIZE(L,SIZE),'X');
if (L01(L01'left)='X') then return L01; end if;
R01 := TO_01(RESIZE(R,SIZE),'X');
if (R01(R01'left)='X') then return R01; end if;
return ADD_SIGNED (L01,not(R01),'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 xxl : UNSIGNED(L_left downto 0) is L;
alias xxr : UNSIGNED(R_left downto 0) is R;
variable xl : UNSIGNED(L_left downto 0);
variable xr : UNSIGNED(R_left downto 0);
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;
xl := TO_01(xxl,'X');
xr := TO_01(xxr,'X');
if ((xl(xl'left)='X') or (xr(xr'left)='X')) then
RESULT:= (others=>'X');
return RESULT;
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;
alias xxl : SIGNED(L_left downto 0) is L;
alias xxr : SIGNED(R_left downto 0) is R;
variable xl : SIGNED(L_left downto 0);
variable xr : SIGNED(R_left downto 0);
variable RESULT: SIGNED((L'length+R'length-1) downto 0) :=(others=>'0');
variable adval : SIGNED((L'length+R'length-1) downto 0);
variable invt : STD_LOGIC:= '0';
begin
if ((L'length<1) or (R'length<1)) then return NAS; end if;
xl := TO_01(xxl,'X');
xr := TO_01(xxr,'X');
if ((xl(xl'left)='X') or (xr(xr'left)='X')) then
RESULT:= (others=>'X');
return RESULT;
end if;
adval := RESIZE(xr,RESULT'length);
if xl(xl'left)='1' then
adval := -(adval);
invt := '1';
end if;
for i in 0 to L_left loop
if (invt xor xl(i))='1' then RESULT:= RESULT + adval;
end if;
adval := shift_left(adval,1);
end loop;
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
constant L_left:INTEGER:= L'length-1;
constant R_left:INTEGER:= R'length-1;
alias xxl : UNSIGNED(L_left downto 0) is L;
alias xxr : UNSIGNED(R_left downto 0) is R;
variable xl : UNSIGNED(L_left downto 0);
variable xr : UNSIGNED(R_left downto 0);
variable fquot,fremain : UNSIGNED(L'length-1 downto 0);
begin
if ((L'length<1) or (R'length<1)) then return NAU; end if;
xl := TO_01(xxl,'X');
xr := TO_01(xxr,'X');
if ((xl(xl'left)='X') or (xr(xr'left)='X')) then
fquot := (others=>'X');
return fquot;
end if;
divMod(xl,xr,fquot,fremain);
return fquot;
end;
-- Id: A.22
function "/" ( L,R: SIGNED) return SIGNED is
constant L_left:INTEGER:= L'length-1;
constant R_left:INTEGER:= R'length-1;
alias xxl : SIGNED(L_left downto 0) is L;
alias xxr : SIGNED(R_left downto 0) is R;
variable xl : SIGNED(L_left downto 0);
variable xr : SIGNED(R_left downto 0);
variable fquot,fremain : UNSIGNED(L'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;
xl := TO_01(xxl,'X');
xr := TO_01(xxr,'X');
if ((xl(xl'left)='X') or (xr(xr'left)='X')) then
fquot := (others=>'X');
return SIGNED(fquot);
end if;
if xl(xl'left)='1' then
xnum:=UNSIGNED(-xl);
qNeg:=TRUE;
else
xnum:=UNSIGNED(xl);
end if;
if xr(xr'left)='1' then
xdenom:=UNSIGNED(-xr);
qNeg:=not qNeg;
else
xdenom:=UNSIGNED(xr);
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
XR := TO_UNSIGNED(R, R_Length);
Quot := L / XR;
if R_Length>L'Length and Quot(0)/='X'
and Quot(R_Length-1 downto L'Length)/=(R_Length-1 downto L'Length => '0')
then
ASSERT no_warning report "Numeric_std.""/"": Quotient Truncated"
severity warning;
end if;
return Quot(L'Length-1 downto 0);
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
XL := TO_UNSIGNED(L,L_LENGTH);
QUOT := XL / R;
if L_LENGTH>R'LENGTH and Quot(0)/='X'
and QUOT(L_LENGTH-1 downto R'Length)/=(L_LENGTH-1 downto R'Length => '0')
then
ASSERT no_warning report "Numeric_std.""/"": Quotient Truncated"
severity warning;
end if;
return Quot(R'Length-1 downto 0);
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
XR := TO_SIGNED(R, R_Length);
Quot := L / XR;
if R_Length>L'Length and Quot(0)/='X'
and Quot(R_Length-1 downto L'Length)
/= (R_Length-1 downto L'Length => Quot(L'Length-1))
then
ASSERT no_warning report "Numeric_std.""/"": Quotient Truncated"
severity warning;
end if;
return Quot(L'Length-1 downto 0);
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
XL := TO_SIGNED(L,L_LENGTH);
QUOT := XL / R;
if L_LENGTH>R'LENGTH and Quot(0)/='X'
and QUOT(L_LENGTH-1 downto R'Length)
/= (L_LENGTH-1 downto R'Length => Quot(R'Length-1))
then
ASSERT no_warning report "Numeric_std.""/"": Quotient Truncated"
severity warning;
end if;
return Quot(R'Length-1 downto 0);
end;
--=============================================================================
-- Id: A.27
function "rem" ( L,R: UNSIGNED) return UNSIGNED is
constant L_left:INTEGER:= L'length-1;
constant R_left:INTEGER:= R'length-1;
alias xxl : UNSIGNED(L_left downto 0) is L;
alias xxr : UNSIGNED(R_left downto 0) is R;
variable xl : UNSIGNED(L_left downto 0);
variable xr : UNSIGNED(R_left downto 0);
variable fquot,fremain : UNSIGNED(l'length-1 downto 0);
begin
if ((L'length<1) or (R'length<1)) then return NAU; end if;
xl := TO_01(xxl,'X');
xr := TO_01(xxr,'X');
if ((xl(xl'left)='X') or (xr(xr'left)='X')) then
fremain := (others=>'X');
return fremain;
end if;
divMod(xl,xr,fquot,fremain);
return fremain;
end;
-- Id: A.28
function "rem" ( L,R: SIGNED) return SIGNED is
constant L_left:INTEGER:= L'length-1;
constant R_left:INTEGER:= R'length-1;
alias xxl : SIGNED(L_left downto 0) is L;
alias xxr : SIGNED(R_left downto 0) is R;
variable fquot,fremain : UNSIGNED(l'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;
xnum := UNSIGNED(TO_01(xxl,'X'));
XDENOM := UNSIGNED(TO_01(xxr,'X'));
if ((xnum(xnum'left)='X') or (xdenom(xnum'left)='X')) then
fremain := (others=>'X');
return SIGNED(fremain);
end if;
if xnum(xnum'left)='1' then
xnum:=UNSIGNED(-SIGNED(xnum));
rNeg:=TRUE;
else
xNum:=UNSIGNED(xnum);
end if;
if XDENOM(XDENOM'left)='1' then
XDENOM:=UNSIGNED(-SIGNED(XDENOM));
else
XDENOM:=UNSIGNED(XDENOM);
end if;
divMod(xnum,XDENOM,fquot,fremain);
if rNeg then
fremain:="0"-fremain;
end if;
return SIGNED(fremain);
end;
-- 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
XR := TO_UNSIGNED(R, R_Length);
XRem := L rem XR;
if R_Length>L'Length and XRem(0)/='X'
and XRem(R_Length-1 downto L'Length)
/= (R_Length-1 downto L'Length => '0')
then
ASSERT no_warning report "Numeric_std.""rem"": Remainder Truncated"
severity warning;
end if;
return XRem(L'Length-1 downto 0);
end;
-- 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
XL := TO_UNSIGNED(L, L_Length);
XRem := XL rem R;
if L_Length>R'Length and XRem(0)/='X'
and XRem(L_Length-1 downto R'Length)
/= (L_Length-1 downto R'Length => '0')
then
ASSERT no_warning report "Numeric_std.""rem"": Remainder Truncated"
severity warning;
end if;
return XRem(R'Length-1 downto 0);
end;
-- 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
XR := TO_SIGNED(R, R_Length);
XRem := L rem XR;
if R_Length>L'Length and XRem(0)/='X'
and XRem(R_Length-1 downto L'Length)
/= (R_Length-1 downto L'Length => XRem(L'Length-1))
then
ASSERT no_warning report "Numeric_std.""rem"": Remainder Truncated"
severity warning;
end if;
return XRem(L'Length-1 downto 0);
end;
-- 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
XL := TO_SIGNED(L, L_Length);
XRem := XL rem R;
if L_Length>R'Length and XRem(0)/='X'
and XRem(L_Length-1 downto R'Length)
/= (L_Length-1 downto R'Length => XRem(R'Length-1))
then
ASSERT no_warning report "Numeric_std.""rem"": Remainder Truncated"
severity warning;
end if;
return XRem(R'Length-1 downto 0);
end;
--=============================================================================
-- Id: A.33
function "mod" ( L,R: UNSIGNED) return UNSIGNED is
constant L_left:INTEGER:= L'length-1;
constant R_left:INTEGER:= R'length-1;
alias xxl : UNSIGNED(L_left downto 0) is L;
alias xxr : UNSIGNED(R_left downto 0) is R;
variable xl : UNSIGNED(L_left downto 0);
variable xr : UNSIGNED(R_left downto 0);
variable fquot,fremain : UNSIGNED(l'length-1 downto 0);
begin
if ((L'length<1) or (R'length<1)) then return NAU; end if;
xl := TO_01(xxl,'X');
xr := TO_01(xxr,'X');
if ((xl(xl'left)='X') or (xr(xr'left)='X')) then
fremain := (others=>'X');
return fremain;
end if;
divMod(xl,xr,fquot,fremain);
return fremain;
end;
-- Id: A.34
function "mod" ( L,R: SIGNED) return SIGNED is
constant L_left:INTEGER:= L'length-1;
constant R_left:INTEGER:= R'length-1;
alias xxl : SIGNED(L_left downto 0) is L;
alias xxr : SIGNED(R_left downto 0) is R;
variable xl : SIGNED(L_left downto 0);
variable xr : SIGNED(R_left downto 0);
variable fquot,fremain : UNSIGNED(l'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;
xl := TO_01(xxl,'X');
xr := TO_01(xxr,'X');
if ((xl(xl'left)='X') or (xr(xr'left)='X')) then
fremain := (others=>'X');
return SIGNED(fremain);
end if;
if xl(xl'left)='1' then
xnum:=UNSIGNED(-xl);
else
xNum:=UNSIGNED(xl);
end if;
if xr(xr'left)='1' then
XDENOM:=UNSIGNED(-xr);
rNeg:=TRUE;
else
XDENOM:=UNSIGNED(xr);
end if;
divMod(xnum,XDENOM,fquot,fremain);
if rNeg and l(l'left)='1' then
fremain:="0"-fremain;
elsif rNeg then
fremain:=fremain-XDENOM;
elsif l(l'left)='1' then
fremain:=XDENOM-fremain;
end if;
return SIGNED(fremain);
end;
-- 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
XR := TO_UNSIGNED(R, R_Length);
XRem := L mod XR;
if R_Length>L'Length and XRem(0)/='X'
and XRem(R_Length-1 downto L'Length)
/= (R_Length-1 downto L'Length => '0')
then
ASSERT no_warning report "Numeric_std.""mod"": Modulus Truncated"
severity warning;
end if;
return XRem(L'Length-1 downto 0);
end;
-- 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
XL := TO_UNSIGNED(L, L_Length);
XRem := XL mod R;
if L_Length>R'Length and XRem(0)/='X'
and XRem(L_Length-1 downto R'Length)
/= (L_Length-1 downto R'Length => '0')
then
ASSERT no_warning report "Numeric_std.""mod"": Modulus Truncated"
severity warning;
end if;
return XRem(R'Length-1 downto 0);
end;
-- 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
XR := TO_SIGNED(R, R_Length);
XRem := L mod XR;
if R_Length>L'Length and XRem(0)/='X'
and XRem(R_Length-1 downto L'Length)
/= (R_Length-1 downto L'Length => XRem(L'Length-1))
then
ASSERT no_warning report "Numeric_std.""mod"": Modulus Truncated"
severity warning;
end if;
return XRem(L'Length-1 downto 0);
end;
-- 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
XL := TO_SIGNED(L, L_Length);
XRem := XL mod R;
if L_Length>R'Length and XRem(0)/='X'
and XRem(L_Length-1 downto R'Length)
/= (L_Length-1 downto R'Length => XRem(R'Length-1))
then
ASSERT no_warning report "Numeric_std.""mod"": Modulus Truncated"
severity warning;
end if;
return XRem(R'Length-1 downto 0);
end;
--=============================================================================
-- Id: C.1
function ">" ( L,R: UNSIGNED) return BOOLEAN 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;
constant SIZE: NATURAL:= MAX (L'LENGTH, R'LENGTH) ;
variable L01 : UNSIGNED(L_left downto 0);
variable R01 : UNSIGNED(R_left downto 0);
begin
if ((L'length<1) or (R'length<1)) then return FALSE; end if;
L01 := TO_01(XL,'X');
R01 := TO_01(XR,'X');
if ((L01(L01'left)='X') or (R01(R01'left)='X')) then return FALSE; end if;
return not UNSIGNED_LESS_OR_EQUAL (RESIZE(L01,SIZE), RESIZE(R01,SIZE)) ;
end ">" ;
-- Id: C.2
function ">" ( L,R: SIGNED) return BOOLEAN is
constant L_left:INTEGER:= L'length-1;
constant R_left:INTEGER:= R'length-1;
alias XL: SIGNED(L_left downto 0) is L;
alias XR: SIGNED(R_left downto 0) is R;
constant SIZE: NATURAL:= MAX (L'LENGTH, R'LENGTH) ;
variable L01 : SIGNED(L_left downto 0);
variable R01 : SIGNED(R_left downto 0);
begin
if ((L'length<1) or (R'length<1)) then return FALSE; end if;
L01 := TO_01(XL,'X');
R01 := TO_01(XR,'X');
if ((L01(L01'left)='X') or (R01(R01'left)='X')) then return FALSE; end if;
return not SIGNED_LESS_OR_EQUAL (RESIZE(L01,SIZE), RESIZE(R01,SIZE)) ;
end ">" ;
-- Id: C.3
function ">" ( L: NATURAL; R: UNSIGNED) return BOOLEAN is
constant R_left:INTEGER:= R'length-1;
alias XR: UNSIGNED(R_left downto 0) is R;
variable R01 : UNSIGNED(R_left downto 0);
begin
if (R'length<1) then return FALSE; end if;
R01 := TO_01(XR,'X');
if (R01(R01'left)='X') then 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,R01'LENGTH), R01) ;
end ">" ;
-- Id: C.4
function ">" ( L: INTEGER; R: SIGNED) return BOOLEAN is
constant R_left:INTEGER:= R'length-1;
alias XR: SIGNED(R_left downto 0) is R;
variable R01 : SIGNED(R_left downto 0);
begin
if (R'length<1) then return FALSE; end if;
R01 := TO_01(XR,'X');
if (R01(R01'left)='X') then 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,R01'LENGTH), R01) ;
end ">" ;
-- Id: C.5
function ">" ( L: UNSIGNED; R: NATURAL) return BOOLEAN is
constant L_left:INTEGER:= L'length-1;
alias XL: UNSIGNED(L_left downto 0) is L;
variable L01 : UNSIGNED(L_left downto 0);
begin
if (L'length<1) then return FALSE; end if;
L01 := TO_01(XL,'X');
if (L01(L01'left)='X') then return FALSE; end if;
if UNSIGNED_NUM_BITS(R)>L'length then return FALSE; end if;
return not UNSIGNED_LESS_OR_EQUAL (L01, TO_UNSIGNED (R,L01'LENGTH)) ;
end ">" ;
-- Id: C.6
function ">" ( L: SIGNED; R: INTEGER) return BOOLEAN is
constant L_left:INTEGER:= L'length-1;
alias XL: SIGNED(L_left downto 0) is L;
variable L01 : SIGNED(L_left downto 0);
begin
if (L'length<1) then return FALSE; end if;
L01 := TO_01(XL,'X');
if (L01(L01'left)='X') then return FALSE; end if;
if Signed_NUM_BITS(R)>L'length then return 0>R; end if;
return not SIGNED_LESS_OR_EQUAL (L01, TO_SIGNED(R,L01'LENGTH)) ;
end ">" ;
--=============================================================================
-- Id: C.7
function "<" ( L,R: UNSIGNED) return BOOLEAN 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;
constant SIZE: NATURAL:= MAX (L'LENGTH, R'LENGTH) ;
variable L01 : UNSIGNED(L_left downto 0);
variable R01 : UNSIGNED(R_left downto 0);
begin
if ((L'length<1) or (R'length<1)) then return FALSE; end if;
L01 := TO_01(XL,'X');
R01 := TO_01(XR,'X');
if ((L01(L01'left)='X') or (R01(R01'left)='X')) then return FALSE; end if;
return UNSIGNED_LESS (RESIZE(L01,SIZE), RESIZE(R01,SIZE)) ;
end "<" ;
-- Id: C.8
function "<" ( L,R: SIGNED) return BOOLEAN is
constant L_left:INTEGER:= L'length-1;
constant R_left:INTEGER:= R'length-1;
alias XL: SIGNED(L_left downto 0) is L;
alias XR: SIGNED(R_left downto 0) is R;
constant SIZE: NATURAL:= MAX (L'LENGTH, R'LENGTH) ;
variable L01 : SIGNED(L_left downto 0);
variable R01 : SIGNED(R_left downto 0);
begin
if ((L'length<1) or (R'length<1)) then return FALSE; end if;
L01 := TO_01(XL,'X');
R01 := TO_01(XR,'X');
if ((L01(L01'left)='X') or (R01(R01'left)='X')) then return FALSE; end if;
return SIGNED_LESS (RESIZE(L01,SIZE), RESIZE(R01,SIZE)) ;
end "<" ;
-- Id: C.9
function "<" ( L: NATURAL; R: UNSIGNED) return BOOLEAN is
constant R_left:INTEGER:= R'length-1;
alias XR: UNSIGNED(R_left downto 0) is R;
variable R01 : UNSIGNED(R_left downto 0);
begin
if (R'length<1) then return FALSE; end if;
R01 := TO_01(XR,'X');
if (R01(R01'left)='X') then return FALSE; end if;
if UNSIGNED_NUM_BITS(L)>R'length then return L<0; end if;
return UNSIGNED_LESS (TO_UNSIGNED(L,R01'LENGTH), R01) ;
end "<" ;
-- Id: C.10
function "<" ( L: INTEGER; R: SIGNED) return BOOLEAN is
constant R_left:INTEGER:= R'length-1;
alias XR: SIGNED(R_left downto 0) is R;
variable R01 : SIGNED(R_left downto 0);
begin
if (R'length<1) then return FALSE; end if;
R01 := TO_01(XR,'X');
if (R01(R01'left)='X') then return FALSE; end if;
if Signed_NUM_BITS(L)>R'length then return L<0; end if;
return SIGNED_LESS (TO_SIGNED(L,R01'LENGTH), R01) ;
end "<" ;
-- Id: C.11
function "<" ( L: UNSIGNED; R: NATURAL) return BOOLEAN is
constant L_left:INTEGER:= L'length-1;
alias XL: UNSIGNED(L_left downto 0) is L;
variable L01 : UNSIGNED(L_left downto 0);
begin
if (L'length<1) then return FALSE; end if;
L01 := TO_01(XL,'X');
if (L01(L01'left)='X') then return FALSE; end if;
if UNSIGNED_NUM_BITS(R)>L'length then return 0<R; end if;
return UNSIGNED_LESS (L01, TO_UNSIGNED (R,L01'LENGTH)) ;
end "<" ;
-- Id: C.12
function "<" ( L: SIGNED; R: INTEGER) return BOOLEAN is
constant L_left:INTEGER:= L'length-1;
alias XL: SIGNED(L_left downto 0) is L;
variable L01 : SIGNED(L_left downto 0);
begin
if (L'length<1) then return FALSE; end if;
L01 := TO_01(XL,'X');
if (L01(L01'left)='X') then return FALSE; end if;
if Signed_NUM_BITS(R)>L'length then return 0<R; end if;
return SIGNED_LESS (L01, TO_SIGNED (R,L01'LENGTH)) ;
end "<" ;
--=============================================================================
-- Id: C.13
function "<=" ( L,R: UNSIGNED) return BOOLEAN 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;
constant SIZE: NATURAL:= MAX (L'LENGTH, R'LENGTH) ;
variable L01 : UNSIGNED(L_left downto 0);
variable R01 : UNSIGNED(R_left downto 0);
begin
if ((L'length<1) or (R'length<1)) then return FALSE; end if;
L01 := TO_01(XL,'X');
R01 := TO_01(XR,'X');
if ((L01(L01'left)='X') or (R01(R01'left)='X')) then return FALSE; end if;
return UNSIGNED_LESS_OR_EQUAL (RESIZE(L01,SIZE), RESIZE(R01,SIZE)) ;
end "<=" ;
-- Id: C.14
function "<=" ( L,R: SIGNED) return BOOLEAN is
constant L_left:INTEGER:= L'length-1;
constant R_left:INTEGER:= R'length-1;
alias XL: SIGNED(L_left downto 0) is L;
alias XR: SIGNED(R_left downto 0) is R;
constant SIZE: NATURAL:= MAX (L'LENGTH, R'LENGTH) ;
variable L01 : SIGNED(L_left downto 0);
variable R01 : SIGNED(R_left downto 0);
begin
if ((L'length<1) or (R'length<1)) then return FALSE; end if;
L01 := TO_01(XL,'X');
R01 := TO_01(XR,'X');
if ((L01(L01'left)='X') or (R01(R01'left)='X')) then return FALSE; end if;
return SIGNED_LESS_OR_EQUAL (RESIZE(L01,SIZE), RESIZE(R01,SIZE)) ;
end "<=" ;
-- Id: C.15
function "<=" ( L: NATURAL; R: UNSIGNED) return BOOLEAN is
constant R_left:INTEGER:= R'length-1;
alias XR: UNSIGNED(R_left downto 0) is R;
variable R01 : UNSIGNED(R_left downto 0);
begin
if (R'length<1) then return FALSE; end if;
R01 := TO_01(XR,'X');
if (R01(R01'left)='X') then 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,R01'LENGTH), R01) ;
end "<=" ;
-- Id: C.16
function "<=" ( L: INTEGER; R: SIGNED) return BOOLEAN is
constant R_left:INTEGER:= R'length-1;
alias XR: SIGNED(R_left downto 0) is R;
variable R01 : SIGNED(R_left downto 0);
begin
if (R'length<1) then return FALSE; end if;
R01 := TO_01(XR,'X');
if (R01(R01'left)='X') then 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,R01'LENGTH), R01) ;
end "<=" ;
-- Id: C.17
function "<=" ( L: UNSIGNED; R: NATURAL) return BOOLEAN is
constant L_left:INTEGER:= L'length-1;
alias XL: UNSIGNED(L_left downto 0) is L;
variable L01 : UNSIGNED(L_left downto 0);
begin
if (L_left<0) then return FALSE; end if;
L01 := TO_01(XL,'X');
if (L01(L01'left)='X') then return FALSE; end if;
if UNSIGNED_NUM_BITS(R)>L'length then return 0<R; end if;
return UNSIGNED_LESS_OR_EQUAL (L01, TO_UNSIGNED(R,L01'LENGTH)) ;
end "<=" ;
-- Id: C.18
function "<=" ( L: SIGNED; R: INTEGER) return BOOLEAN is
constant L_left:INTEGER:= L'length-1;
alias XL: SIGNED(L_left downto 0) is L;
variable L01 : SIGNED(L_left downto 0);
begin
if (L_left<0) then return FALSE; end if;
L01 := TO_01(XL,'X');
if (L01(L01'left)='X') then return FALSE; end if;
if Signed_NUM_BITS(R)>L'length then return 0<R; end if;
return SIGNED_LESS_OR_EQUAL (L01, TO_SIGNED(R,L01'LENGTH)) ;
end "<=" ;
--=============================================================================
-- Id: C.19
function ">=" ( L,R: UNSIGNED) return BOOLEAN 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;
constant SIZE: NATURAL:= MAX (L'LENGTH, R'LENGTH) ;
variable L01 : UNSIGNED(L_left downto 0);
variable R01 : UNSIGNED(R_left downto 0);
begin
if ((L'length<1) or (R'length<1)) then return FALSE; end if;
L01 := TO_01(XL,'X');
R01 := TO_01(XR,'X');
if ((L01(L01'left)='X') or (R01(R01'left)='X')) then return FALSE; end if;
return not UNSIGNED_LESS (RESIZE(L01,SIZE), RESIZE(R01,SIZE)) ;
end ">=" ;
-- Id: C.20
function ">=" ( L,R: SIGNED) return BOOLEAN is
constant L_left:INTEGER:= L'length-1;
constant R_left:INTEGER:= R'length-1;
alias XL: SIGNED(L_left downto 0) is L;
alias XR: SIGNED(R_left downto 0) is R;
constant SIZE: NATURAL:= MAX (L'LENGTH, R'LENGTH) ;
variable L01 : SIGNED(L_left downto 0);
variable R01 : SIGNED(R_left downto 0);
begin
if ((L'length<1) or (R'length<1)) then return FALSE; end if;
L01 := TO_01(XL,'X');
R01 := TO_01(XR,'X');
if ((L01(L01'left)='X') or (R01(R01'left)='X')) then return FALSE; end if;
return not SIGNED_LESS (RESIZE(L01,SIZE), RESIZE(R01,SIZE)) ;
end ">=" ;
-- Id: C.21
function ">=" ( L: NATURAL; R: UNSIGNED) return BOOLEAN is
constant R_left:INTEGER:= R'length-1;
alias XR: UNSIGNED(R_left downto 0) is R;
variable R01 : UNSIGNED(R_left downto 0);
begin
if (R'length<1) then return FALSE; end if;
R01 := TO_01(XR,'X');
if (R01(R01'left)='X') then return FALSE; end if;
if UNSIGNED_NUM_BITS(L)>R'length then return L>0; end if;
return not UNSIGNED_LESS (TO_UNSIGNED(L,R01'LENGTH), R01) ;
end ">=" ;
-- Id: C.22
function ">=" ( L: INTEGER; R: SIGNED) return BOOLEAN is
constant R_left:INTEGER:= R'length-1;
alias XR: SIGNED(R_left downto 0) is R;
variable R01 : SIGNED(R_left downto 0);
begin
if (R'length<1) then return FALSE; end if;
R01 := TO_01(XR,'X');
if (R01(R01'left)='X') then return FALSE; end if;
if Signed_NUM_BITS(L)>R'length then return L>0; end if;
return not SIGNED_LESS (TO_SIGNED (L,R01'LENGTH), R01) ;
end ">=" ;
-- Id: C.23
function ">=" ( L: UNSIGNED; R: NATURAL) return BOOLEAN is
constant L_left:INTEGER:= L'length-1;
alias XL: UNSIGNED(L_left downto 0) is L;
variable L01 : UNSIGNED(L_left downto 0);
begin
if (L'length<1) then return FALSE; end if;
L01 := TO_01(XL,'X');
if (L01(L01'left)='X') then return FALSE; end if;
if UNSIGNED_NUM_BITS(R)>L'length then return 0>R; end if;
return not UNSIGNED_LESS(L01, TO_UNSIGNED(R,L01'LENGTH)) ;
end ">=" ;
-- Id: C.24
function ">=" ( L: SIGNED; R: INTEGER) return BOOLEAN is
constant L_left:INTEGER:= L'length-1;
alias XL: SIGNED(L_left downto 0) is L;
variable L01 : SIGNED(L_left downto 0);
begin
if (L'length<1) then return FALSE; end if;
L01 := TO_01(XL,'X');
if (L01(L01'left)='X') then return FALSE; end if;
if Signed_NUM_BITS(R)>L'length then return 0>R; end if;
return not SIGNED_LESS (L01, TO_SIGNED(R,L01'LENGTH)) ;
end ">=" ;
--=============================================================================
-- Id: C.25
function "=" ( L,R: UNSIGNED) return BOOLEAN 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;
constant SIZE: NATURAL:= MAX (L'LENGTH, R'LENGTH) ;
variable L01 : UNSIGNED(L_left downto 0);
variable R01 : UNSIGNED(R_left downto 0);
begin
if ((L'length<1) or (R'length<1)) then return FALSE; end if;
L01 := TO_01(XL,'X');
R01 := TO_01(XR,'X');
if ((L01(L01'left)='X') or (R01(R01'left)='X')) then return FALSE; end if;
return UNSIGNED_equal (RESIZE(L01,SIZE),RESIZE(R01,SIZE)) ;
end "=" ;
-- Id: C.26
function "=" ( L,R: SIGNED) return BOOLEAN is
constant L_left:INTEGER:= L'length-1;
constant R_left:INTEGER:= R'length-1;
alias XL: SIGNED(L_left downto 0) is L;
alias XR: SIGNED(R_left downto 0) is R;
constant SIZE: NATURAL:= MAX (L'LENGTH, R'LENGTH) ;
variable L01 : SIGNED(L_left downto 0);
variable R01 : SIGNED(R_left downto 0);
begin
if ((L'length<1) or (R'length<1)) then return FALSE; end if;
L01 := TO_01(XL,'X');
R01 := TO_01(XR,'X');
if ((L01(L01'left)='X') or (R01(R01'left)='X')) then return FALSE; end if;
return SIGNED_equal (RESIZE(L01,SIZE), RESIZE(R01,SIZE)) ;
end "=" ;
-- Id: C.27
function "=" ( L: NATURAL; R: UNSIGNED) return BOOLEAN is
constant R_left:INTEGER:= R'length-1;
alias XR: UNSIGNED(R_left downto 0) is R;
variable R01 : UNSIGNED(R_left downto 0);
begin
if (R'length<1) then return FALSE; end if;
R01 := TO_01(XR,'X');
if (R01(R01'left)='X') then return FALSE; end if;
if UNSIGNED_NUM_BITS(L)>R'Length then return FALSE; end if;
return UNSIGNED_equal ( TO_UNSIGNED(L,R01'LENGTH), R01);
end "=" ;
-- Id: C.28
function "=" ( L: INTEGER; R: SIGNED) return BOOLEAN is
constant R_left:INTEGER:= R'length-1;
alias XR: SIGNED(R_left downto 0) is R;
variable R01 : SIGNED(R_left downto 0);
begin
if (R'length<1) then return FALSE; end if;
R01 := TO_01(XR,'X');
if (R01(R01'left)='X') then return FALSE; end if;
if UNSIGNED_NUM_BITS(L)>R'Length then return FALSE; end if;
return SIGNED_equal ( TO_SIGNED(L,R01'LENGTH), R01) ;
end "=" ;
-- Id: C.29
function "=" ( L: UNSIGNED; R: NATURAL) return BOOLEAN is
constant L_left:INTEGER:= L'length-1;
alias XL: UNSIGNED(L_left downto 0) is L;
variable L01 : UNSIGNED(L_left downto 0);
begin
if (L'length<1) then return FALSE; end if;
L01 := TO_01(XL,'X');
if (L01(L01'left)='X') then return FALSE; end if;
if UNSIGNED_NUM_BITS(R)>L'length then return FALSE; end if;
return UNSIGNED_equal (L01, TO_UNSIGNED (R,L01'LENGTH)) ;
end "=" ;
-- Id: C.30
function "=" ( L: SIGNED; R: INTEGER) return BOOLEAN is
constant L_left:INTEGER:= L'length-1;
alias XL: SIGNED(L_left downto 0) is L;
variable L01 : SIGNED(L_left downto 0);
begin
if (L'length<1) then return FALSE; end if;
L01 := TO_01(XL,'X');
if (L01(L01'left)='X') then return FALSE; end if;
if UNSIGNED_NUM_BITS(R)>L'length then return FALSE; end if;
return SIGNED_equal (L01, TO_SIGNED (R,L01'LENGTH)) ;
end "=" ;
--=============================================================================
-- Id: C.31
function "/=" ( L,R: UNSIGNED) return BOOLEAN 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;
constant SIZE: NATURAL:= MAX (L'LENGTH, R'LENGTH) ;
variable L01 : UNSIGNED(L_left downto 0);
variable R01 : UNSIGNED(R_left downto 0);
begin
if ((L'length<1) or (R'length<1)) then return FALSE; end if;
L01 := TO_01(XL);
R01 := TO_01(XR);
if ((L01(L01'left)='X') or (R01(R01'left)='X')) then return TRUE; end if;
return not(UNSIGNED_equal (RESIZE(L01,SIZE),RESIZE(R01,SIZE))) ;
end "/=" ;
-- Id: C.32
function "/=" ( L,R: SIGNED) return BOOLEAN is
constant L_left:INTEGER:= L'length-1;
constant R_left:INTEGER:= R'length-1;
alias XL: SIGNED(L_left downto 0) is L;
alias XR: SIGNED(R_left downto 0) is R;
constant SIZE: NATURAL:= MAX (L'LENGTH, R'LENGTH) ;
variable L01 : SIGNED(L_left downto 0);
variable R01 : SIGNED(R_left downto 0);
begin
if ((L'length<1) or (R'length<1)) then return FALSE; end if;
L01 := TO_01(XL);
R01 := TO_01(XR);
if ((L01(L01'left)='X') or (R01(R01'left)='X')) then return TRUE; end if;
return not(SIGNED_equal (RESIZE(L01,SIZE), RESIZE(R01,SIZE))) ;
end "/=" ;
-- Id: C.33
function "/=" ( L: NATURAL; R: UNSIGNED) return BOOLEAN is
constant R_left:INTEGER:= R'length-1;
alias XR: UNSIGNED(R_left downto 0) is R;
variable R01 : UNSIGNED(R_left downto 0);
begin
if (R'length<1) then return FALSE; end if;
R01 := TO_01(XR);
if (R01(R01'left)='X') then return TRUE; end if;
if UNSIGNED_NUM_BITS(L)>R'Length then return TRUE; end if;
return not(UNSIGNED_equal ( TO_UNSIGNED(L,R01'LENGTH), R01));
end "/=" ;
-- Id: C.34
function "/=" ( L: INTEGER; R: SIGNED) return BOOLEAN is
constant R_left:INTEGER:= R'length-1;
alias XR: SIGNED(R_left downto 0) is R;
variable R01 : SIGNED(R_left downto 0);
begin
if (R'length<1) then return FALSE; end if;
R01 := TO_01(XR);
if (R01(R01'left)='X') then return TRUE; end if;
if Signed_NUM_BITS(L)>R'Length then return TRUE; end if;
return not(SIGNED_equal ( TO_SIGNED(L,R01'LENGTH), R01)) ;
end "/=" ;
-- Id: C.35
function "/=" ( L: UNSIGNED; R: NATURAL) return BOOLEAN is
constant L_left:INTEGER:= L'length-1;
alias XL: UNSIGNED(L_left downto 0) is L;
variable L01 : UNSIGNED(L_left downto 0);
begin
if (L'length<1) then return FALSE; end if;
L01 := TO_01(XL);
if (L01(L01'left)='X') then return TRUE; end if;
if UNSIGNED_NUM_BITS(R)>L'Length then return TRUE; end if;
return not(UNSIGNED_equal (L01, TO_UNSIGNED (R,L01'LENGTH))) ;
end "/=" ;
-- Id: C.36
function "/=" ( L: SIGNED; R: INTEGER) return BOOLEAN is
constant L_left:INTEGER:= L'length-1;
alias XL: SIGNED(L_left downto 0) is L;
variable L01 : SIGNED(L_left downto 0);
begin
if (L'length<1) then return FALSE; end if;
L01 := TO_01(XL);
if (L01(L01'left)='X') then return TRUE; end if;
if Signed_NUM_BITS(R)>L'Length then return TRUE; end if;
return not(SIGNED_equal (L01, TO_SIGNED (R,L01'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(STD_LOGIC_VECTOR(ARG),COUNT));
end;
-- 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(STD_LOGIC_VECTOR(ARG),COUNT));
end;
-- 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(STD_LOGIC_VECTOR(ARG),COUNT));
end;
-- 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(STD_LOGIC_VECTOR(ARG),COUNT));
end;
--=============================================================================
-- 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(STD_LOGIC_VECTOR(ARG),COUNT));
end;
-- 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(STD_LOGIC_VECTOR(ARG),COUNT));
end;
-- 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(STD_LOGIC_VECTOR(ARG),COUNT));
end;
-- 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(STD_LOGIC_VECTOR(ARG),COUNT));
end;
--=============================================================================
-- Id: D.1
function TO_INTEGER(ARG: UNSIGNED) return NATURAL is
constant ARG_LEFT:INTEGER:= ARG'length-1;
alias XXARG:UNSIGNED(ARG_LEFT downto 0) is ARG;
variable XARG:UNSIGNED(ARG_LEFT downto 0);
variable RESULT: NATURAL:= 0;
variable w : INTEGER:= 1; -- weight factor
begin
if (ARG'length<1) then
assert NO_WARNING
report "numeric_std.TO_INTEGER: null arg"
severity warning;
return 0;
end if;
XARG:= TO_01(XXARG);
if (XARG(XARG'left)='X') then
assert NO_WARNING
report "numeric_std.TO_INTEGER: metavalue arg set to 0"
severity warning;
return 0;
end if;
for i in XARG'reverse_range loop
if XARG (i) = '1' then
RESULT:= RESULT + w;
end if;
if (i /= XARG'left) then w := w + w;
end if;
end loop;
return RESULT;
end TO_INTEGER;
-- Id: D.2
function TO_INTEGER(ARG: SIGNED) return INTEGER is
begin
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_std.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 : STD_LOGIC:= '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_std.TO_SIGNED : vector truncated"
severity WARNING ;
end if;
return RESULT;
end TO_SIGNED;
-- Id: D.5
function TO_UNSIGNED(ARG: STD_LOGIC_VECTOR) return UNSIGNED is
begin
return UNSIGNED(ARG);
end TO_UNSIGNED;
-- Id: D.6
function TO_SIGNED(ARG: STD_LOGIC_VECTOR) return SIGNED is
begin
return SIGNED(ARG);
end TO_SIGNED;
-- Id: D.7
function TO_STDLOGICVECTOR(ARG: UNSIGNED) return STD_LOGIC_VECTOR is
begin
return STD_LOGIC_VECTOR(ARG);
end TO_STDLOGICVECTOR;
-- Id: D.8
function TO_STDLOGICVECTOR(ARG: SIGNED) return STD_LOGIC_VECTOR is
begin
return STD_LOGIC_VECTOR(ARG);
end TO_STDLOGICVECTOR;
--=============================================================================
-- 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) ;
constant bound : NATURAL:= MIN(ARG'length,RESULT'length)-2 ;
begin
if (NEW_SIZE<1) then return NAS; 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'range);
begin
RESULT:= UNSIGNED(not(STD_LOGIC_VECTOR(L)));
return RESULT;
end "not";
-- Id: L.2
function "and" ( L,R: UNSIGNED ) return UNSIGNED is
variable RESULT: UNSIGNED (L'range);
begin
RESULT:= UNSIGNED(STD_LOGIC_VECTOR(L) and STD_LOGIC_VECTOR(R));
return RESULT;
end "and";
-- Id: L.3
function "or" ( L,R: UNSIGNED ) return UNSIGNED is
variable RESULT: UNSIGNED (L'range);
begin
RESULT:= UNSIGNED(STD_LOGIC_VECTOR(L) or STD_LOGIC_VECTOR(R));
return RESULT;
end "or";
-- Id: L.4
function "nand" ( L,R: UNSIGNED ) return UNSIGNED is
variable RESULT: UNSIGNED (L'range);
begin
RESULT:= UNSIGNED(STD_LOGIC_VECTOR(L) nand STD_LOGIC_VECTOR(R));
return RESULT;
end "nand";
-- Id: L.5
function "nor" ( L,R: UNSIGNED ) return UNSIGNED is
variable RESULT: UNSIGNED (L'range);
begin
RESULT:= UNSIGNED(STD_LOGIC_VECTOR(L) nor STD_LOGIC_VECTOR(R));
return RESULT;
end "nor";
-- Id: L.6
function "xor" ( L,R: UNSIGNED ) return UNSIGNED is
variable RESULT: UNSIGNED (L'range);
begin
RESULT:= UNSIGNED(STD_LOGIC_VECTOR(L) xor STD_LOGIC_VECTOR(R));
return RESULT;
end "xor";
-- -----------------------------------------------------------------------
-- Note : The declaration and implementation of the "xnor" function is
-- specifically commented until at which time the VHDL language has been
-- officially adopted as containing such a function. At such a point,
-- the following comments may be removed along with this notice without
-- further "official" ballotting of this 1076.3 package. It is
-- the intent of this effort to provide such a function once it becomes
-- available in the VHDL standard.
-- -----------------------------------------------------------------------
-- Id: L.7
--function "xnor" ( L,R: UNSIGNED ) return UNSIGNED is
--variable RESULT: UNSIGNED (L'range);
--begin
-- RESULT:= UNSIGNED(STD_LOGIC_VECTOR(L) xnor STD_LOGIC_VECTOR(R));
-- return RESULT;
-- end "xnor";
-- Id: L.8
function "not" ( L: SIGNED) return SIGNED is
variable RESULT: SIGNED (L'range);
begin
RESULT:= SIGNED(not(STD_LOGIC_VECTOR(L)));
return RESULT;
end "not";
-- Id: L.9
function "and" ( L,R: SIGNED ) return SIGNED is
variable RESULT: SIGNED (L'range);
begin
RESULT:= SIGNED(STD_LOGIC_VECTOR(L) and STD_LOGIC_VECTOR(R));
return RESULT;
end "and";
-- Id: L.10
function "or" ( L,R: SIGNED ) return SIGNED is
variable RESULT: SIGNED (L'range);
begin
RESULT:= SIGNED(STD_LOGIC_VECTOR(L) or STD_LOGIC_VECTOR(R));
return RESULT;
end "or";
-- Id: L.11
function "nand" ( L,R: SIGNED ) return SIGNED is
variable RESULT: SIGNED (L'range);
begin
RESULT:= SIGNED(STD_LOGIC_VECTOR(L) nand STD_LOGIC_VECTOR(R));
return RESULT;
end "nand";
-- Id: L.12
function "nor" ( L,R: SIGNED ) return SIGNED is
variable RESULT: SIGNED (L'range);
begin
RESULT:= SIGNED(STD_LOGIC_VECTOR(L) nor STD_LOGIC_VECTOR(R));
return RESULT;
end "nor";
-- Id: L.13
function "xor" ( L,R: SIGNED ) return SIGNED is
variable RESULT: SIGNED (L'range);
begin
RESULT:= SIGNED(STD_LOGIC_VECTOR(L) xor STD_LOGIC_VECTOR(R));
return RESULT;
end "xor";
-- -----------------------------------------------------------------------
-- Note : The declaration and implementation of the "xnor" function is
-- specifically commented until at which time the VHDL language has been
-- officially adopted as containing such a function. At such a point,
-- the following comments may be removed along with this notice without
-- further "official" ballotting of this 1076.3 package. It is
-- the intent of this effort to provide such a function once it becomes
-- available in the VHDL standard.
-- -----------------------------------------------------------------------
-- Id: L.14
--function "xnor" ( L,R: SIGNED ) return SIGNED is
--variable RESULT: SIGNED (L'range);
--begin
-- RESULT:= SIGNED(STD_LOGIC_VECTOR(L) xnor STD_LOGIC_VECTOR(R));
-- return RESULT;
-- end "xnor";
--=============================================================================
-- support constants for STD_MATCH:
type STDULOGIC_TABLE is array(STD_ULOGIC, STD_ULOGIC) of STD_ULOGIC;
-- truth table for "and" function
constant AND_TABLE : STDULOGIC_TABLE := (
-- ----------------------------------------------------
-- | U X 0 1 Z W L H - | |
-- ----------------------------------------------------
( 'U', 'U', '0', 'U', 'U', 'U', '0', 'U', 'U' ), -- | U |
( 'U', 'X', '0', 'X', 'X', 'X', '0', 'X', 'X' ), -- | X |
( '0', '0', '0', '0', '0', '0', '0', '0', '0' ), -- | 0 |
( 'U', 'X', '0', '1', 'X', 'X', '0', '1', 'X' ), -- | 1 |
( 'U', 'X', '0', 'X', 'X', 'X', '0', 'X', 'X' ), -- | Z |
( 'U', 'X', '0', 'X', 'X', 'X', '0', 'X', 'X' ), -- | W |
( '0', '0', '0', '0', '0', '0', '0', '0', '0' ), -- | L |
( 'U', 'X', '0', '1', 'X', 'X', '0', '1', 'X' ), -- | H |
( 'U', 'X', '0', 'X', 'X', 'X', '0', 'X', 'X' ) -- | - |
);
-- truth table for STD_MATCH function
constant MATCH_TABLE : STDULOGIC_TABLE := (
-- ----------------------------------------------------
-- | U X 0 1 Z W L H - | |
-- ----------------------------------------------------
( 'U', 'U', 'U', 'U', 'U', 'U', 'U', 'U', '1' ), -- | U |
( 'U', 'X', 'X', 'X', 'X', 'X', 'X', 'X', '1' ), -- | X |
( 'U', 'X', '1', '0', 'X', 'X', '1', '0', '1' ), -- | 0 |
( 'U', 'X', '0', '1', 'X', 'X', '0', '1', '1' ), -- | 1 |
( 'U', 'X', 'X', 'X', 'X', 'X', 'X', 'X', '1' ), -- | Z |
( 'U', 'X', 'X', 'X', 'X', 'X', 'X', 'X', '1' ), -- | W |
( 'U', 'X', '1', '0', 'X', 'X', '1', '0', '1' ), -- | L |
( 'U', 'X', '0', '1', 'X', 'X', '0', '1', '1' ), -- | H |
( '1', '1', '1', '1', '1', '1', '1', '1', '1' ) -- | - |
);
-- Id: M.1
function STD_MATCH (L, R: STD_ULOGIC) return BOOLEAN is
variable VALUE : STD_ULOGIC;
begin
VALUE := MATCH_TABLE(L, R);
return VALUE = '1';
end STD_MATCH;
-- Id: M.2
function STD_MATCH (L, R: STD_LOGIC_VECTOR) return BOOLEAN is
alias LV: STD_LOGIC_VECTOR ( 1 to L'LENGTH ) is L;
alias RV: STD_LOGIC_VECTOR ( 1 to R'LENGTH ) is R;
variable VALUE: STD_ULOGIC:= '1';
begin
-- Check that both input vectors are the same length.
if LV'LENGTH /= RV'LENGTH then
assert NO_WARNING
report "STD_MATCH input arguments are not of equal length"
severity warning;
return FALSE;
else
for i in LV'LOW to LV'HIGH loop
VALUE := AND_TABLE(MATCH_TABLE(LV(i), RV(i)), VALUE);
end loop;
return VALUE = '1';
end if;
end STD_MATCH;
--=============================================================================
end numeric_std;
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