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diff --git a/libraries/ieee2008/float_generic_pkg.vhdl b/libraries/ieee2008/float_generic_pkg.vhdl new file mode 100644 index 0000000..c835429 --- /dev/null +++ b/libraries/ieee2008/float_generic_pkg.vhdl @@ -0,0 +1,997 @@ +-- -------------------------------------------------------------------- +-- +-- Copyright © 2008 by IEEE. All rights reserved. +-- +-- This source file is an essential part of IEEE Std 1076-2008, +-- IEEE Standard VHDL Language Reference Manual. This source file may not be +-- copied, sold, or included with software that is sold without written +-- permission from the IEEE Standards Department. This source file may be +-- copied for individual use between licensed users. This source file is +-- provided on an AS IS basis. The IEEE disclaims ANY WARRANTY EXPRESS OR +-- IMPLIED INCLUDING ANY WARRANTY OF MERCHANTABILITY AND FITNESS FOR USE +-- FOR A PARTICULAR PURPOSE. The user of the source file shall indemnify +-- and hold IEEE harmless from any damages or liability arising out of the +-- use thereof. +-- +-- Title : Floating-point package (Generic package declaration) +-- : +-- Library : This package shall be compiled into a library +-- : symbolically named IEEE. +-- : +-- Developers: Accellera VHDL-TC and IEEE P1076 Working Group +-- : +-- Purpose : This packages defines basic binary floating point +-- : arithmetic functions +-- : +-- Note : This package may be modified to include additional data +-- : required by tools, but it must in no way change the +-- : external interfaces or simulation behavior 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 package declaration. +-- : The package body may be changed only in accordance with +-- : the terms of Clause 16 of this standard. +-- : +-- -------------------------------------------------------------------- +-- $Revision: 1220 $ +-- $Date: 2008-04-10 17:16:09 +0930 (Thu, 10 Apr 2008) $ +-- -------------------------------------------------------------------- + +use STD.TEXTIO.all; +library IEEE; +use IEEE.STD_LOGIC_1164.all; +use IEEE.NUMERIC_STD.all; +use IEEE.fixed_float_types.all; + +package float_generic_pkg is + generic ( + -- Defaults for sizing routines, when you do a "to_float" this will be + -- the default size. Example float32 would be 8 and 23 (8 downto -23) + float_exponent_width : NATURAL := 8; + float_fraction_width : NATURAL := 23; + -- Rounding algorithm, "round_nearest" is default, other valid values + -- are "round_zero" (truncation), "round_inf" (round up), and + -- "round_neginf" (round down) + float_round_style : round_type := round_nearest; + -- Denormal numbers (very small numbers near zero) true or false + float_denormalize : BOOLEAN := true; + -- Turns on NAN processing (invalid numbers and overflow) true of false + float_check_error : BOOLEAN := true; + -- Guard bits are added to the bottom of every operation for rounding. + -- any natural number (including 0) are valid. + float_guard_bits : NATURAL := 3; + -- If TRUE, then turn off warnings on "X" propagation + no_warning : BOOLEAN := false; + package fixed_pkg is new IEEE.fixed_generic_pkg + generic map (<>) ); + + -- Author David Bishop (dbishop@vhdl.org) + constant CopyRightNotice : STRING := + "Copyright 2008 by IEEE. All rights reserved."; + + use fixed_pkg.all; + + -- Note that this is "INTEGER range <>", thus if you use a literal, then the + -- default range will be (INTEGER'low to INTEGER'low + X) + type UNRESOLVED_float is array (INTEGER range <>) of STD_ULOGIC; -- main type + alias U_float is UNRESOLVED_float; + + subtype float is (resolved) UNRESOLVED_float; + ----------------------------------------------------------------------------- + -- Use the float type to define your own floating point numbers. + -- There must be a negative index or the packages will error out. + -- Minimum supported is "subtype float7 is float (3 downto -3);" + -- "subtype float16 is float (6 downto -9);" is probably the smallest + -- practical one to use. + ----------------------------------------------------------------------------- + + -- IEEE 754 single precision + subtype UNRESOLVED_float32 is UNRESOLVED_float (8 downto -23); + alias U_float32 is UNRESOLVED_float32; + subtype float32 is float (8 downto -23); + ----------------------------------------------------------------------------- + -- IEEE-754 single precision floating point. This is a "float" + -- in C, and a FLOAT in Fortran. The exponent is 8 bits wide, and + -- the fraction is 23 bits wide. This format can hold roughly 7 decimal + -- digits. Infinity is 2**127 = 1.7E38 in this number system. + -- The bit representation is as follows: + -- 1 09876543 21098765432109876543210 + -- 8 76543210 12345678901234567890123 + -- 0 00000000 00000000000000000000000 + -- 8 7 0 -1 -23 + -- +/- exp. fraction + ----------------------------------------------------------------------------- + + -- IEEE 754 double precision + subtype UNRESOLVED_float64 is UNRESOLVED_float (11 downto -52); + alias U_float64 is UNRESOLVED_float64; + subtype float64 is float (11 downto -52); + ----------------------------------------------------------------------------- + -- IEEE-754 double precision floating point. This is a "double float" + -- in C, and a FLOAT*8 in Fortran. The exponent is 11 bits wide, and + -- the fraction is 52 bits wide. This format can hold roughly 15 decimal + -- digits. Infinity is 2**2047 in this number system. + -- The bit representation is as follows: + -- 3 21098765432 1098765432109876543210987654321098765432109876543210 + -- 1 09876543210 1234567890123456789012345678901234567890123456789012 + -- S EEEEEEEEEEE FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF + -- 11 10 0 -1 -52 + -- +/- exponent fraction + ----------------------------------------------------------------------------- + + -- IEEE 854 & C extended precision + subtype UNRESOLVED_float128 is UNRESOLVED_float (15 downto -112); + alias U_float128 is UNRESOLVED_float128; + subtype float128 is float (15 downto -112); + ----------------------------------------------------------------------------- + -- The 128 bit floating point number is "long double" in C (on + -- some systems this is a 70 bit floating point number) and FLOAT*32 + -- in Fortran. The exponent is 15 bits wide and the fraction is 112 + -- bits wide. This number can handle approximately 33 decimal digits. + -- Infinity is 2**32,767 in this number system. + ----------------------------------------------------------------------------- + + -- purpose: Checks for a valid floating point number + type valid_fpstate is (nan, -- Signaling NaN (C FP_NAN) + quiet_nan, -- Quiet NaN (C FP_NAN) + neg_inf, -- Negative infinity (C FP_INFINITE) + neg_normal, -- negative normalized nonzero + neg_denormal, -- negative denormalized (FP_SUBNORMAL) + neg_zero, -- -0 (C FP_ZERO) + pos_zero, -- +0 (C FP_ZERO) + pos_denormal, -- Positive denormalized (FP_SUBNORMAL) + pos_normal, -- positive normalized nonzero + pos_inf, -- positive infinity + isx); -- at least one input is unknown + + -- This deferred constant will tell you if the package body is synthesizable + -- or implemented as real numbers. + constant fphdlsynth_or_real : BOOLEAN; -- deferred constant + + -- Returns the class which X falls into + function Classfp ( + x : UNRESOLVED_float; -- floating point input + check_error : BOOLEAN := float_check_error) -- check for errors + return valid_fpstate; + + -- Arithmetic functions, these operators do not require parameters. + function "abs" (arg : UNRESOLVED_float) return UNRESOLVED_float; + function "-" (arg : UNRESOLVED_float) return UNRESOLVED_float; + + -- These allows the base math functions to use the default values + -- of their parameters. Thus they do full IEEE floating point. + + function "+" (l, r : UNRESOLVED_float) return UNRESOLVED_float; + function "-" (l, r : UNRESOLVED_float) return UNRESOLVED_float; + function "*" (l, r : UNRESOLVED_float) return UNRESOLVED_float; + function "/" (l, r : UNRESOLVED_float) return UNRESOLVED_float; + function "rem" (l, r : UNRESOLVED_float) return UNRESOLVED_float; + function "mod" (l, r : UNRESOLVED_float) return UNRESOLVED_float; + + -- Basic parameter list + -- round_style - Selects the rounding algorithm to use + -- guard - extra bits added to the end if the operation to add precision + -- check_error - When "false" turns off NAN and overflow checks + -- denormalize - When "false" turns off denormal number processing + + function add ( + l, r : UNRESOLVED_float; -- floating point input + constant round_style : round_type := float_round_style; -- rounding option + constant guard : NATURAL := float_guard_bits; -- number of guard bits + constant check_error : BOOLEAN := float_check_error; -- check for errors + constant denormalize : BOOLEAN := float_denormalize) -- Use IEEE extended FP + return UNRESOLVED_float; + + function subtract ( + l, r : UNRESOLVED_float; -- floating point input + constant round_style : round_type := float_round_style; -- rounding option + constant guard : NATURAL := float_guard_bits; -- number of guard bits + constant check_error : BOOLEAN := float_check_error; -- check for errors + constant denormalize : BOOLEAN := float_denormalize) -- Use IEEE extended FP + return UNRESOLVED_float; + + function multiply ( + l, r : UNRESOLVED_float; -- floating point input + constant round_style : round_type := float_round_style; -- rounding option + constant guard : NATURAL := float_guard_bits; -- number of guard bits + constant check_error : BOOLEAN := float_check_error; -- check for errors + constant denormalize : BOOLEAN := float_denormalize) -- Use IEEE extended FP + return UNRESOLVED_float; + + function divide ( + l, r : UNRESOLVED_float; -- floating point input + constant round_style : round_type := float_round_style; -- rounding option + constant guard : NATURAL := float_guard_bits; -- number of guard bits + constant check_error : BOOLEAN := float_check_error; -- check for errors + constant denormalize : BOOLEAN := float_denormalize) -- Use IEEE extended FP + return UNRESOLVED_float; + + function remainder ( + l, r : UNRESOLVED_float; -- floating point input + constant round_style : round_type := float_round_style; -- rounding option + constant guard : NATURAL := float_guard_bits; -- number of guard bits + constant check_error : BOOLEAN := float_check_error; -- check for errors + constant denormalize : BOOLEAN := float_denormalize) -- Use IEEE extended FP + return UNRESOLVED_float; + + function modulo ( + l, r : UNRESOLVED_float; -- floating point input + constant round_style : round_type := float_round_style; -- rounding option + constant guard : NATURAL := float_guard_bits; -- number of guard bits + constant check_error : BOOLEAN := float_check_error; -- check for errors + constant denormalize : BOOLEAN := float_denormalize) -- Use IEEE extended FP + return UNRESOLVED_float; + + -- reciprocal + function reciprocal ( + arg : UNRESOLVED_float; -- floating point input + constant round_style : round_type := float_round_style; -- rounding option + constant guard : NATURAL := float_guard_bits; -- number of guard bits + constant check_error : BOOLEAN := float_check_error; -- check for errors + constant denormalize : BOOLEAN := float_denormalize) -- Use IEEE extended FP + return UNRESOLVED_float; + + function dividebyp2 ( + l, r : UNRESOLVED_float; -- floating point input + constant round_style : round_type := float_round_style; -- rounding option + constant guard : NATURAL := float_guard_bits; -- number of guard bits + constant check_error : BOOLEAN := float_check_error; -- check for errors + constant denormalize : BOOLEAN := float_denormalize) -- Use IEEE extended FP + return UNRESOLVED_float; + + -- Multiply accumulate result = l*r + c + function mac ( + l, r, c : UNRESOLVED_float; -- floating point input + constant round_style : round_type := float_round_style; -- rounding option + constant guard : NATURAL := float_guard_bits; -- number of guard bits + constant check_error : BOOLEAN := float_check_error; -- check for errors + constant denormalize : BOOLEAN := float_denormalize) -- Use IEEE extended FP + return UNRESOLVED_float; + + -- Square root (all 754 based implementations need this) + function sqrt ( + arg : UNRESOLVED_float; -- floating point input + constant round_style : round_type := float_round_style; + constant guard : NATURAL := float_guard_bits; + constant check_error : BOOLEAN := float_check_error; + constant denormalize : BOOLEAN := float_denormalize) + return UNRESOLVED_float; + + function Is_Negative (arg : UNRESOLVED_float) return BOOLEAN; + + ----------------------------------------------------------------------------- + -- compare functions + -- =, /=, >=, <=, <, >, maximum, minimum + + function eq ( -- equal = + l, r : UNRESOLVED_float; -- floating point input + constant check_error : BOOLEAN := float_check_error; + constant denormalize : BOOLEAN := float_denormalize) + return BOOLEAN; + + function ne ( -- not equal /= + l, r : UNRESOLVED_float; -- floating point input + constant check_error : BOOLEAN := float_check_error; + constant denormalize : BOOLEAN := float_denormalize) + return BOOLEAN; + + function lt ( -- less than < + l, r : UNRESOLVED_float; -- floating point input + constant check_error : BOOLEAN := float_check_error; + constant denormalize : BOOLEAN := float_denormalize) + return BOOLEAN; + + function gt ( -- greater than > + l, r : UNRESOLVED_float; -- floating point input + constant check_error : BOOLEAN := float_check_error; + constant denormalize : BOOLEAN := float_denormalize) + return BOOLEAN; + + function le ( -- less than or equal to <= + l, r : UNRESOLVED_float; -- floating point input + constant check_error : BOOLEAN := float_check_error; + constant denormalize : BOOLEAN := float_denormalize) + return BOOLEAN; + + function ge ( -- greater than or equal to >= + l, r : UNRESOLVED_float; -- floating point input + constant check_error : BOOLEAN := float_check_error; + constant denormalize : BOOLEAN := float_denormalize) + return BOOLEAN; + + -- Need to overload the default versions of these + function "=" (l, r : UNRESOLVED_float) return BOOLEAN; + function "/=" (l, r : UNRESOLVED_float) return BOOLEAN; + function ">=" (l, r : UNRESOLVED_float) return BOOLEAN; + function "<=" (l, r : UNRESOLVED_float) return BOOLEAN; + function ">" (l, r : UNRESOLVED_float) return BOOLEAN; + function "<" (l, r : UNRESOLVED_float) return BOOLEAN; + + function "?=" (l, r : UNRESOLVED_float) return STD_ULOGIC; + function "?/=" (l, r : UNRESOLVED_float) return STD_ULOGIC; + function "?>" (l, r : UNRESOLVED_float) return STD_ULOGIC; + function "?>=" (l, r : UNRESOLVED_float) return STD_ULOGIC; + function "?<" (l, r : UNRESOLVED_float) return STD_ULOGIC; + function "?<=" (l, r : UNRESOLVED_float) return STD_ULOGIC; + + function std_match (l, r : UNRESOLVED_float) return BOOLEAN; + function find_rightmost (arg : UNRESOLVED_float; y : STD_ULOGIC) + return INTEGER; + function find_leftmost (arg : UNRESOLVED_float; y : STD_ULOGIC) + return INTEGER; + function maximum (l, r : UNRESOLVED_float) return UNRESOLVED_float; + function minimum (l, r : UNRESOLVED_float) return UNRESOLVED_float; + + -- conversion functions + -- Converts one floating point number into another. + + function resize ( + arg : UNRESOLVED_float; -- Floating point input + constant exponent_width : NATURAL := float_exponent_width; -- length of FP output exponent + constant fraction_width : NATURAL := float_fraction_width; -- length of FP output fraction + constant round_style : round_type := float_round_style; -- rounding option + constant check_error : BOOLEAN := float_check_error; + constant denormalize_in : BOOLEAN := float_denormalize; -- Use IEEE extended FP + constant denormalize : BOOLEAN := float_denormalize) -- Use IEEE extended FP + return UNRESOLVED_float; + + function resize ( + arg : UNRESOLVED_float; -- Floating point input + size_res : UNRESOLVED_float; + constant round_style : round_type := float_round_style; -- rounding option + constant check_error : BOOLEAN := float_check_error; + constant denormalize_in : BOOLEAN := float_denormalize; -- Use IEEE extended FP + constant denormalize : BOOLEAN := float_denormalize) -- Use IEEE extended FP + return UNRESOLVED_float; + + function to_float32 ( + arg : UNRESOLVED_float; + constant round_style : round_type := float_round_style; -- rounding option + constant check_error : BOOLEAN := float_check_error; + constant denormalize_in : BOOLEAN := float_denormalize; -- Use IEEE extended FP + constant denormalize : BOOLEAN := float_denormalize) -- Use IEEE extended FP + return UNRESOLVED_float32; + + function to_float64 ( + arg : UNRESOLVED_float; + constant round_style : round_type := float_round_style; -- rounding option + constant check_error : BOOLEAN := float_check_error; + constant denormalize_in : BOOLEAN := float_denormalize; -- Use IEEE extended FP + constant denormalize : BOOLEAN := float_denormalize) -- Use IEEE extended FP + return UNRESOLVED_float64; + + function to_float128 ( + arg : UNRESOLVED_float; + constant round_style : round_type := float_round_style; -- rounding option + constant check_error : BOOLEAN := float_check_error; + constant denormalize_in : BOOLEAN := float_denormalize; -- Use IEEE extended FP + constant denormalize : BOOLEAN := float_denormalize) -- Use IEEE extended FP + return UNRESOLVED_float128; + + -- Converts an fp into an SLV (needed for synthesis) + function to_slv (arg : UNRESOLVED_float) return STD_LOGIC_VECTOR; + alias to_StdLogicVector is to_slv [UNRESOLVED_float return STD_LOGIC_VECTOR]; + alias to_Std_Logic_Vector is to_slv [UNRESOLVED_float return STD_LOGIC_VECTOR]; + + -- Converts an fp into an std_ulogic_vector (sulv) + function to_sulv (arg : UNRESOLVED_float) return STD_ULOGIC_VECTOR; + alias to_StdULogicVector is to_sulv [UNRESOLVED_float return STD_ULOGIC_VECTOR]; + alias to_Std_ULogic_Vector is to_sulv [UNRESOLVED_float return STD_ULOGIC_VECTOR]; + + -- std_ulogic_vector to float + function to_float ( + arg : STD_ULOGIC_VECTOR; + constant exponent_width : NATURAL := float_exponent_width; -- length of FP output exponent + constant fraction_width : NATURAL := float_fraction_width) -- length of FP output fraction + return UNRESOLVED_float; + + -- Integer to float + function to_float ( + arg : INTEGER; + constant exponent_width : NATURAL := float_exponent_width; -- length of FP output exponent + constant fraction_width : NATURAL := float_fraction_width; -- length of FP output fraction + constant round_style : round_type := float_round_style) -- rounding option + return UNRESOLVED_float; + + -- real to float + function to_float ( + arg : REAL; + constant exponent_width : NATURAL := float_exponent_width; -- length of FP output exponent + constant fraction_width : NATURAL := float_fraction_width; -- length of FP output fraction + constant round_style : round_type := float_round_style; -- rounding option + constant denormalize : BOOLEAN := float_denormalize) -- Use IEEE extended FP + return UNRESOLVED_float; + + -- unsigned to float + function to_float ( + arg : UNRESOLVED_UNSIGNED; + constant exponent_width : NATURAL := float_exponent_width; -- length of FP output exponent + constant fraction_width : NATURAL := float_fraction_width; -- length of FP output fraction + constant round_style : round_type := float_round_style) -- rounding option + return UNRESOLVED_float; + + -- signed to float + function to_float ( + arg : UNRESOLVED_SIGNED; + constant exponent_width : NATURAL := float_exponent_width; -- length of FP output exponent + constant fraction_width : NATURAL := float_fraction_width; -- length of FP output fraction + constant round_style : round_type := float_round_style) -- rounding option + return UNRESOLVED_float; + + -- unsigned fixed point to float + function to_float ( + arg : UNRESOLVED_ufixed; -- unsigned fixed point input + constant exponent_width : NATURAL := float_exponent_width; -- width of exponent + constant fraction_width : NATURAL := float_fraction_width; -- width of fraction + constant round_style : round_type := float_round_style; -- rounding + constant denormalize : BOOLEAN := float_denormalize) -- use ieee extensions + return UNRESOLVED_float; + + -- signed fixed point to float + function to_float ( + arg : UNRESOLVED_sfixed; + constant exponent_width : NATURAL := float_exponent_width; -- length of FP output exponent + constant fraction_width : NATURAL := float_fraction_width; -- length of FP output fraction + constant round_style : round_type := float_round_style; -- rounding + constant denormalize : BOOLEAN := float_denormalize) -- rounding option + return UNRESOLVED_float; + + -- size_res functions + -- Integer to float + function to_float ( + arg : INTEGER; + size_res : UNRESOLVED_float; + constant round_style : round_type := float_round_style) -- rounding option + return UNRESOLVED_float; + + -- real to float + function to_float ( + arg : REAL; + size_res : UNRESOLVED_float; + constant round_style : round_type := float_round_style; -- rounding option + constant denormalize : BOOLEAN := float_denormalize) -- Use IEEE extended FP + return UNRESOLVED_float; + + -- unsigned to float + function to_float ( + arg : UNRESOLVED_UNSIGNED; + size_res : UNRESOLVED_float; + constant round_style : round_type := float_round_style) -- rounding option + return UNRESOLVED_float; + + -- signed to float + function to_float ( + arg : UNRESOLVED_SIGNED; + size_res : UNRESOLVED_float; + constant round_style : round_type := float_round_style) -- rounding option + return UNRESOLVED_float; + + -- sulv to float + function to_float ( + arg : STD_ULOGIC_VECTOR; + size_res : UNRESOLVED_float) + return UNRESOLVED_float; + + -- unsigned fixed point to float + function to_float ( + arg : UNRESOLVED_ufixed; -- unsigned fixed point input + size_res : UNRESOLVED_float; + constant round_style : round_type := float_round_style; -- rounding + constant denormalize : BOOLEAN := float_denormalize) -- use ieee extensions + return UNRESOLVED_float; + + -- signed fixed point to float + function to_float ( + arg : UNRESOLVED_sfixed; + size_res : UNRESOLVED_float; + constant round_style : round_type := float_round_style; -- rounding + constant denormalize : BOOLEAN := float_denormalize) -- rounding option + return UNRESOLVED_float; + + -- float to unsigned + function to_unsigned ( + arg : UNRESOLVED_float; -- floating point input + constant size : NATURAL; -- length of output + constant round_style : round_type := float_round_style; -- rounding option + constant check_error : BOOLEAN := float_check_error) -- check for errors + return UNRESOLVED_UNSIGNED; + + -- float to signed + function to_signed ( + arg : UNRESOLVED_float; -- floating point input + constant size : NATURAL; -- length of output + constant round_style : round_type := float_round_style; -- rounding option + constant check_error : BOOLEAN := float_check_error) -- check for errors + return UNRESOLVED_SIGNED; + + -- purpose: Converts a float to unsigned fixed point + function to_ufixed ( + arg : UNRESOLVED_float; -- fp input + constant left_index : INTEGER; -- integer part + constant right_index : INTEGER; -- fraction part + constant overflow_style : fixed_overflow_style_type := fixed_overflow_style; -- saturate + constant round_style : fixed_round_style_type := fixed_round_style; -- rounding + constant check_error : BOOLEAN := float_check_error; -- check for errors + constant denormalize : BOOLEAN := float_denormalize) + return UNRESOLVED_ufixed; + + -- float to signed fixed point + function to_sfixed ( + arg : UNRESOLVED_float; -- fp input + constant left_index : INTEGER; -- integer part + constant right_index : INTEGER; -- fraction part + constant overflow_style : fixed_overflow_style_type := fixed_overflow_style; -- saturate + constant round_style : fixed_round_style_type := fixed_round_style; -- rounding + constant check_error : BOOLEAN := float_check_error; -- check for errors + constant denormalize : BOOLEAN := float_denormalize) + return UNRESOLVED_sfixed; + + -- size_res versions + -- float to unsigned + function to_unsigned ( + arg : UNRESOLVED_float; -- floating point input + size_res : UNRESOLVED_UNSIGNED; + constant round_style : round_type := float_round_style; -- rounding option + constant check_error : BOOLEAN := float_check_error) -- check for errors + return UNRESOLVED_UNSIGNED; + + -- float to signed + function to_signed ( + arg : UNRESOLVED_float; -- floating point input + size_res : UNRESOLVED_SIGNED; + constant round_style : round_type := float_round_style; -- rounding option + constant check_error : BOOLEAN := float_check_error) -- check for errors + return UNRESOLVED_SIGNED; + + -- purpose: Converts a float to unsigned fixed point + function to_ufixed ( + arg : UNRESOLVED_float; -- fp input + size_res : UNRESOLVED_ufixed; + constant overflow_style : fixed_overflow_style_type := fixed_overflow_style; -- saturate + constant round_style : fixed_round_style_type := fixed_round_style; -- rounding + constant check_error : BOOLEAN := float_check_error; -- check for errors + constant denormalize : BOOLEAN := float_denormalize) + return UNRESOLVED_ufixed; + + -- float to signed fixed point + function to_sfixed ( + arg : UNRESOLVED_float; -- fp input + size_res : UNRESOLVED_sfixed; + constant overflow_style : fixed_overflow_style_type := fixed_overflow_style; -- saturate + constant round_style : fixed_round_style_type := fixed_round_style; -- rounding + constant check_error : BOOLEAN := float_check_error; -- check for errors + constant denormalize : BOOLEAN := float_denormalize) + return UNRESOLVED_sfixed; + + -- float to real + function to_real ( + arg : UNRESOLVED_float; -- floating point input + constant check_error : BOOLEAN := float_check_error; -- check for errors + constant denormalize : BOOLEAN := float_denormalize) -- Use IEEE extended FP + return REAL; + + -- float to integer + function to_integer ( + arg : UNRESOLVED_float; -- floating point input + constant round_style : round_type := float_round_style; -- rounding option + constant check_error : BOOLEAN := float_check_error) -- check for errors + return INTEGER; + + -- For Verilog compatability + function realtobits (arg : REAL) return STD_ULOGIC_VECTOR; + function bitstoreal (arg : STD_ULOGIC_VECTOR) return REAL; + + -- Maps metalogical values + function to_01 ( + arg : UNRESOLVED_float; -- floating point input + XMAP : STD_LOGIC := '0') + return UNRESOLVED_float; + + function Is_X (arg : UNRESOLVED_float) return BOOLEAN; + function to_X01 (arg : UNRESOLVED_float) return UNRESOLVED_float; + function to_X01Z (arg : UNRESOLVED_float) return UNRESOLVED_float; + function to_UX01 (arg : UNRESOLVED_float) return UNRESOLVED_float; + + -- These two procedures were copied out of the body because they proved + -- very useful for vendor specific algorithm development + -- Break_number converts a floating point number into it's parts + -- Exponent is biased by -1 + + procedure break_number ( + arg : in UNRESOLVED_float; + denormalize : in BOOLEAN := float_denormalize; + check_error : in BOOLEAN := float_check_error; + fract : out UNRESOLVED_UNSIGNED; + expon : out UNRESOLVED_SIGNED; -- NOTE: Add 1 to get the real exponent! + sign : out STD_ULOGIC); + + procedure break_number ( + arg : in UNRESOLVED_float; + denormalize : in BOOLEAN := float_denormalize; + check_error : in BOOLEAN := float_check_error; + fract : out UNRESOLVED_ufixed; -- a number between 1.0 and 2.0 + expon : out UNRESOLVED_SIGNED; -- NOTE: Add 1 to get the real exponent! + sign : out STD_ULOGIC); + + -- Normalize takes a fraction and and exponent and converts them into + -- a floating point number. Does the shifting and the rounding. + -- Exponent is assumed to be biased by -1 + + function normalize ( + fract : UNRESOLVED_UNSIGNED; -- fraction, unnormalized + expon : UNRESOLVED_SIGNED; -- exponent - 1, normalized + sign : STD_ULOGIC; -- sign bit + sticky : STD_ULOGIC := '0'; -- Sticky bit (rounding) + constant exponent_width : NATURAL := float_exponent_width; -- size of output exponent + constant fraction_width : NATURAL := float_fraction_width; -- size of output fraction + constant round_style : round_type := float_round_style; -- rounding option + constant denormalize : BOOLEAN := float_denormalize; -- Use IEEE extended FP + constant nguard : NATURAL := float_guard_bits) -- guard bits + return UNRESOLVED_float; + + -- Exponent is assumed to be biased by -1 + function normalize ( + fract : UNRESOLVED_ufixed; -- unsigned fixed point + expon : UNRESOLVED_SIGNED; -- exponent - 1, normalized + sign : STD_ULOGIC; -- sign bit + sticky : STD_ULOGIC := '0'; -- Sticky bit (rounding) + constant exponent_width : NATURAL := float_exponent_width; -- size of output exponent + constant fraction_width : NATURAL := float_fraction_width; -- size of output fraction + constant round_style : round_type := float_round_style; -- rounding option + constant denormalize : BOOLEAN := float_denormalize; -- Use IEEE extended FP + constant nguard : NATURAL := float_guard_bits) -- guard bits + return UNRESOLVED_float; + + function normalize ( + fract : UNRESOLVED_UNSIGNED; -- unsigned + expon : UNRESOLVED_SIGNED; -- exponent - 1, normalized + sign : STD_ULOGIC; -- sign bit + sticky : STD_ULOGIC := '0'; -- Sticky bit (rounding) + size_res : UNRESOLVED_float; -- used for sizing only + constant round_style : round_type := float_round_style; -- rounding option + constant denormalize : BOOLEAN := float_denormalize; -- Use IEEE extended FP + constant nguard : NATURAL := float_guard_bits) -- guard bits + return UNRESOLVED_float; + + -- Exponent is assumed to be biased by -1 + function normalize ( + fract : UNRESOLVED_ufixed; -- unsigned fixed point + expon : UNRESOLVED_SIGNED; -- exponent - 1, normalized + sign : STD_ULOGIC; -- sign bit + sticky : STD_ULOGIC := '0'; -- Sticky bit (rounding) + size_res : UNRESOLVED_float; -- used for sizing only + constant round_style : round_type := float_round_style; -- rounding option + constant denormalize : BOOLEAN := float_denormalize; -- Use IEEE extended FP + constant nguard : NATURAL := float_guard_bits) -- guard bits + return UNRESOLVED_float; + + -- overloaded versions + function "+" (l : UNRESOLVED_float; r : REAL) return UNRESOLVED_float; + function "+" (l : REAL; r : UNRESOLVED_float) return UNRESOLVED_float; + function "+" (l : UNRESOLVED_float; r : INTEGER) return UNRESOLVED_float; + function "+" (l : INTEGER; r : UNRESOLVED_float) return UNRESOLVED_float; + function "-" (l : UNRESOLVED_float; r : REAL) return UNRESOLVED_float; + function "-" (l : REAL; r : UNRESOLVED_float) return UNRESOLVED_float; + function "-" (l : UNRESOLVED_float; r : INTEGER) return UNRESOLVED_float; + function "-" (l : INTEGER; r : UNRESOLVED_float) return UNRESOLVED_float; + function "*" (l : UNRESOLVED_float; r : REAL) return UNRESOLVED_float; + function "*" (l : REAL; r : UNRESOLVED_float) return UNRESOLVED_float; + function "*" (l : UNRESOLVED_float; r : INTEGER) return UNRESOLVED_float; + function "*" (l : INTEGER; r : UNRESOLVED_float) return UNRESOLVED_float; + function "/" (l : UNRESOLVED_float; r : REAL) return UNRESOLVED_float; + function "/" (l : REAL; r : UNRESOLVED_float) return UNRESOLVED_float; + function "/" (l : UNRESOLVED_float; r : INTEGER) return UNRESOLVED_float; + function "/" (l : INTEGER; r : UNRESOLVED_float) return UNRESOLVED_float; + function "rem" (l : UNRESOLVED_float; r : REAL) return UNRESOLVED_float; + function "rem" (l : REAL; r : UNRESOLVED_float) return UNRESOLVED_float; + function "rem" (l : UNRESOLVED_float; r : INTEGER) return UNRESOLVED_float; + function "rem" (l : INTEGER; r : UNRESOLVED_float) return UNRESOLVED_float; + function "mod" (l : UNRESOLVED_float; r : REAL) return UNRESOLVED_float; + function "mod" (l : REAL; r : UNRESOLVED_float) return UNRESOLVED_float; + function "mod" (l : UNRESOLVED_float; r : INTEGER) return UNRESOLVED_float; + function "mod" (l : INTEGER; r : UNRESOLVED_float) return UNRESOLVED_float; + + -- overloaded compare functions + function "=" (l : UNRESOLVED_float; r : REAL) return BOOLEAN; + function "/=" (l : UNRESOLVED_float; r : REAL) return BOOLEAN; + function ">=" (l : UNRESOLVED_float; r : REAL) return BOOLEAN; + function "<=" (l : UNRESOLVED_float; r : REAL) return BOOLEAN; + function ">" (l : UNRESOLVED_float; r : REAL) return BOOLEAN; + function "<" (l : UNRESOLVED_float; r : REAL) return BOOLEAN; + function "=" (l : REAL; r : UNRESOLVED_float) return BOOLEAN; + function "/=" (l : REAL; r : UNRESOLVED_float) return BOOLEAN; + function ">=" (l : REAL; r : UNRESOLVED_float) return BOOLEAN; + function "<=" (l : REAL; r : UNRESOLVED_float) return BOOLEAN; + function ">" (l : REAL; r : UNRESOLVED_float) return BOOLEAN; + function "<" (l : REAL; r : UNRESOLVED_float) return BOOLEAN; + function "=" (l : UNRESOLVED_float; r : INTEGER) return BOOLEAN; + function "/=" (l : UNRESOLVED_float; r : INTEGER) return BOOLEAN; + function ">=" (l : UNRESOLVED_float; r : INTEGER) return BOOLEAN; + function "<=" (l : UNRESOLVED_float; r : INTEGER) return BOOLEAN; + function ">" (l : UNRESOLVED_float; r : INTEGER) return BOOLEAN; + function "<" (l : UNRESOLVED_float; r : INTEGER) return BOOLEAN; + function "=" (l : INTEGER; r : UNRESOLVED_float) return BOOLEAN; + function "/=" (l : INTEGER; r : UNRESOLVED_float) return BOOLEAN; + function ">=" (l : INTEGER; r : UNRESOLVED_float) return BOOLEAN; + function "<=" (l : INTEGER; r : UNRESOLVED_float) return BOOLEAN; + function ">" (l : INTEGER; r : UNRESOLVED_float) return BOOLEAN; + function "<" (l : INTEGER; r : UNRESOLVED_float) return BOOLEAN; + function "?=" (l : UNRESOLVED_float; r : REAL) return STD_ULOGIC; + function "?/=" (l : UNRESOLVED_float; r : REAL) return STD_ULOGIC; + function "?>" (l : UNRESOLVED_float; r : REAL) return STD_ULOGIC; + function "?>=" (l : UNRESOLVED_float; r : REAL) return STD_ULOGIC; + function "?<" (l : UNRESOLVED_float; r : REAL) return STD_ULOGIC; + function "?<=" (l : UNRESOLVED_float; r : REAL) return STD_ULOGIC; + function "?=" (l : REAL; r : UNRESOLVED_float) return STD_ULOGIC; + function "?/=" (l : REAL; r : UNRESOLVED_float) return STD_ULOGIC; + function "?>" (l : REAL; r : UNRESOLVED_float) return STD_ULOGIC; + function "?>=" (l : REAL; r : UNRESOLVED_float) return STD_ULOGIC; + function "?<" (l : REAL; r : UNRESOLVED_float) return STD_ULOGIC; + function "?<=" (l : REAL; r : UNRESOLVED_float) return STD_ULOGIC; + function "?=" (l : UNRESOLVED_float; r : INTEGER) return STD_ULOGIC; + function "?/=" (l : UNRESOLVED_float; r : INTEGER) return STD_ULOGIC; + function "?>" (l : UNRESOLVED_float; r : INTEGER) return STD_ULOGIC; + function "?>=" (l : UNRESOLVED_float; r : INTEGER) return STD_ULOGIC; + function "?<" (l : UNRESOLVED_float; r : INTEGER) return STD_ULOGIC; + function "?<=" (l : UNRESOLVED_float; r : INTEGER) return STD_ULOGIC; + function "?=" (l : INTEGER; r : UNRESOLVED_float) return STD_ULOGIC; + function "?/=" (l : INTEGER; r : UNRESOLVED_float) return STD_ULOGIC; + function "?>" (l : INTEGER; r : UNRESOLVED_float) return STD_ULOGIC; + function "?>=" (l : INTEGER; r : UNRESOLVED_float) return STD_ULOGIC; + function "?<" (l : INTEGER; r : UNRESOLVED_float) return STD_ULOGIC; + function "?<=" (l : INTEGER; r : UNRESOLVED_float) return STD_ULOGIC; + -- minimum and maximum overloads + function maximum (l : UNRESOLVED_float; r : REAL) return UNRESOLVED_float; + function minimum (l : UNRESOLVED_float; r : REAL) return UNRESOLVED_float; + function maximum (l : REAL; r : UNRESOLVED_float) return UNRESOLVED_float; + function minimum (l : REAL; r : UNRESOLVED_float) return UNRESOLVED_float; + function maximum (l : UNRESOLVED_float; r : INTEGER) return UNRESOLVED_float; + function minimum (l : UNRESOLVED_float; r : INTEGER) return UNRESOLVED_float; + function maximum (l : INTEGER; r : UNRESOLVED_float) return UNRESOLVED_float; + function minimum (l : INTEGER; r : UNRESOLVED_float) return UNRESOLVED_float; +---------------------------------------------------------------------------- + -- logical functions + ---------------------------------------------------------------------------- + + function "not" (l : UNRESOLVED_float) return UNRESOLVED_float; + function "and" (l, r : UNRESOLVED_float) return UNRESOLVED_float; + function "or" (l, r : UNRESOLVED_float) return UNRESOLVED_float; + function "nand" (l, r : UNRESOLVED_float) return UNRESOLVED_float; + function "nor" (l, r : UNRESOLVED_float) return UNRESOLVED_float; + function "xor" (l, r : UNRESOLVED_float) return UNRESOLVED_float; + function "xnor" (l, r : UNRESOLVED_float) return UNRESOLVED_float; + -- Vector and std_ulogic functions, same as functions in numeric_std + function "and" (l : STD_ULOGIC; r : UNRESOLVED_float) + return UNRESOLVED_float; + function "and" (l : UNRESOLVED_float; r : STD_ULOGIC) + return UNRESOLVED_float; + function "or" (l : STD_ULOGIC; r : UNRESOLVED_float) + return UNRESOLVED_float; + function "or" (l : UNRESOLVED_float; r : STD_ULOGIC) + return UNRESOLVED_float; + function "nand" (l : STD_ULOGIC; r : UNRESOLVED_float) + return UNRESOLVED_float; + function "nand" (l : UNRESOLVED_float; r : STD_ULOGIC) + return UNRESOLVED_float; + function "nor" (l : STD_ULOGIC; r : UNRESOLVED_float) + return UNRESOLVED_float; + function "nor" (l : UNRESOLVED_float; r : STD_ULOGIC) + return UNRESOLVED_float; + function "xor" (l : STD_ULOGIC; r : UNRESOLVED_float) + return UNRESOLVED_float; + function "xor" (l : UNRESOLVED_float; r : STD_ULOGIC) + return UNRESOLVED_float; + function "xnor" (l : STD_ULOGIC; r : UNRESOLVED_float) + return UNRESOLVED_float; + function "xnor" (l : UNRESOLVED_float; r : STD_ULOGIC) + return UNRESOLVED_float; + -- Reduction operators, same as numeric_std functions + function "and" (l : UNRESOLVED_float) return STD_ULOGIC; + function "nand" (l : UNRESOLVED_float) return STD_ULOGIC; + function "or" (l : UNRESOLVED_float) return STD_ULOGIC; + function "nor" (l : UNRESOLVED_float) return STD_ULOGIC; + function "xor" (l : UNRESOLVED_float) return STD_ULOGIC; + function "xnor" (l : UNRESOLVED_float) return STD_ULOGIC; + + -- Note: "sla", "sra", "sll", "slr", "rol" and "ror" not implemented. + + ----------------------------------------------------------------------------- + -- Recommended Functions from the IEEE 754 Appendix + ----------------------------------------------------------------------------- + + -- returns x with the sign of y. + function Copysign (x, y : UNRESOLVED_float) return UNRESOLVED_float; + + -- Returns y * 2**n for integral values of N without computing 2**n + function Scalb ( + y : UNRESOLVED_float; -- floating point input + N : INTEGER; -- exponent to add + constant round_style : round_type := float_round_style; -- rounding option + constant check_error : BOOLEAN := float_check_error; -- check for errors + constant denormalize : BOOLEAN := float_denormalize) -- Use IEEE extended FP + return UNRESOLVED_float; + + -- Returns y * 2**n for integral values of N without computing 2**n + function Scalb ( + y : UNRESOLVED_float; -- floating point input + N : UNRESOLVED_SIGNED; -- exponent to add + constant round_style : round_type := float_round_style; -- rounding option + constant check_error : BOOLEAN := float_check_error; -- check for errors + constant denormalize : BOOLEAN := float_denormalize) -- Use IEEE extended FP + return UNRESOLVED_float; + + -- returns the unbiased exponent of x + function Logb (x : UNRESOLVED_float) return INTEGER; + function Logb (x : UNRESOLVED_float) return UNRESOLVED_SIGNED; + + -- returns the next representable neighbor of x in the direction toward y + function Nextafter ( + x, y : UNRESOLVED_float; -- floating point input + constant check_error : BOOLEAN := float_check_error; -- check for errors + constant denormalize : BOOLEAN := float_denormalize) + return UNRESOLVED_float; + + -- Returns TRUE if X is unordered with Y. + function Unordered (x, y : UNRESOLVED_float) return BOOLEAN; + function Finite (x : UNRESOLVED_float) return BOOLEAN; + function Isnan (x : UNRESOLVED_float) return BOOLEAN; + + -- Function to return constants. + function zerofp ( + constant exponent_width : NATURAL := float_exponent_width; -- exponent + constant fraction_width : NATURAL := float_fraction_width) -- fraction + return UNRESOLVED_float; + function nanfp ( + constant exponent_width : NATURAL := float_exponent_width; -- exponent + constant fraction_width : NATURAL := float_fraction_width) -- fraction + return UNRESOLVED_float; + function qnanfp ( + constant exponent_width : NATURAL := float_exponent_width; -- exponent + constant fraction_width : NATURAL := float_fraction_width) -- fraction + return UNRESOLVED_float; + function pos_inffp ( + constant exponent_width : NATURAL := float_exponent_width; -- exponent + constant fraction_width : NATURAL := float_fraction_width) -- fraction + return UNRESOLVED_float; + function neg_inffp ( + constant exponent_width : NATURAL := float_exponent_width; -- exponent + constant fraction_width : NATURAL := float_fraction_width) -- fraction + return UNRESOLVED_float; + function neg_zerofp ( + constant exponent_width : NATURAL := float_exponent_width; -- exponent + constant fraction_width : NATURAL := float_fraction_width) -- fraction + return UNRESOLVED_float; + -- size_res versions + function zerofp ( + size_res : UNRESOLVED_float) -- variable is only use for sizing + return UNRESOLVED_float; + function nanfp ( + size_res : UNRESOLVED_float) -- variable is only use for sizing + return UNRESOLVED_float; + function qnanfp ( + size_res : UNRESOLVED_float) -- variable is only use for sizing + return UNRESOLVED_float; + function pos_inffp ( + size_res : UNRESOLVED_float) -- variable is only use for sizing + return UNRESOLVED_float; + function neg_inffp ( + size_res : UNRESOLVED_float) -- variable is only use for sizing + return UNRESOLVED_float; + function neg_zerofp ( + size_res : UNRESOLVED_float) -- variable is only use for sizing + return UNRESOLVED_float; + + --=========================================================================== + -- string and textio Functions + --=========================================================================== + + -- writes S:EEEE:FFFFFFFF + procedure WRITE ( + L : inout LINE; -- access type (pointer) + VALUE : in UNRESOLVED_float; -- value to write + JUSTIFIED : in SIDE := right; -- which side to justify text + FIELD : in WIDTH := 0); -- width of field + + -- Reads SEEEEFFFFFFFF, "." and ":" are ignored + procedure READ (L : inout LINE; VALUE : out UNRESOLVED_float); + procedure READ (L : inout LINE; VALUE : out UNRESOLVED_float; + GOOD : out BOOLEAN); + + alias BREAD is READ [LINE, UNRESOLVED_float, BOOLEAN]; + alias BREAD is READ [LINE, UNRESOLVED_float]; + alias BWRITE is WRITE [LINE, UNRESOLVED_float, SIDE, WIDTH]; + alias BINARY_READ is READ [LINE, UNRESOLVED_FLOAT, BOOLEAN]; + alias BINARY_READ is READ [LINE, UNRESOLVED_FLOAT]; + alias BINARY_WRITE is WRITE [LINE, UNRESOLVED_float, SIDE, WIDTH]; + + procedure OWRITE ( + L : inout LINE; -- access type (pointer) + VALUE : in UNRESOLVED_float; -- value to write + JUSTIFIED : in SIDE := right; -- which side to justify text + FIELD : in WIDTH := 0); -- width of field + + -- Octal read with padding, no separators used + procedure OREAD (L : inout LINE; VALUE : out UNRESOLVED_float); + procedure OREAD (L : inout LINE; VALUE : out UNRESOLVED_float; + GOOD : out BOOLEAN); + alias OCTAL_READ is OREAD [LINE, UNRESOLVED_FLOAT, BOOLEAN]; + alias OCTAL_READ is OREAD [LINE, UNRESOLVED_FLOAT]; + alias OCTAL_WRITE is OWRITE [LINE, UNRESOLVED_FLOAT, SIDE, WIDTH]; + + -- Hex write with padding, no separators + procedure HWRITE ( + L : inout LINE; -- access type (pointer) + VALUE : in UNRESOLVED_float; -- value to write + JUSTIFIED : in SIDE := right; -- which side to justify text + FIELD : in WIDTH := 0); -- width of field + + -- Hex read with padding, no separators used + procedure HREAD (L : inout LINE; VALUE : out UNRESOLVED_float); + procedure HREAD (L : inout LINE; VALUE : out UNRESOLVED_float; + GOOD : out BOOLEAN); + alias HEX_READ is HREAD [LINE, UNRESOLVED_FLOAT, BOOLEAN]; + alias HEX_READ is HREAD [LINE, UNRESOLVED_FLOAT]; + alias HEX_WRITE is HWRITE [LINE, UNRESOLVED_FLOAT, SIDE, WIDTH]; + + -- returns "S:EEEE:FFFFFFFF" + function to_string (value : UNRESOLVED_float) return STRING; + alias TO_BSTRING is TO_STRING [UNRESOLVED_FLOAT return STRING]; + alias TO_BINARY_STRING is TO_STRING [UNRESOLVED_FLOAT return STRING]; + + -- Returns a HEX string, with padding + function to_hstring (value : UNRESOLVED_float) return STRING; + alias TO_HEX_STRING is TO_HSTRING [UNRESOLVED_FLOAT return STRING]; + + -- Returns and octal string, with padding + function to_ostring (value : UNRESOLVED_float) return STRING; + alias TO_OCTAL_STRING is TO_OSTRING [UNRESOLVED_FLOAT return STRING]; + + function from_string ( + bstring : STRING; -- binary string + constant exponent_width : NATURAL := float_exponent_width; + constant fraction_width : NATURAL := float_fraction_width) + return UNRESOLVED_float; + alias from_bstring is from_string [STRING, NATURAL, NATURAL + return UNRESOLVED_float]; + alias from_binary_string is from_string [STRING, NATURAL, NATURAL + return UNRESOLVED_float]; + function from_ostring ( + ostring : STRING; -- Octal string + constant exponent_width : NATURAL := float_exponent_width; + constant fraction_width : NATURAL := float_fraction_width) + return UNRESOLVED_float; + alias from_octal_string is from_ostring [STRING, NATURAL, NATURAL + return UNRESOLVED_float]; + + function from_hstring ( + hstring : STRING; -- hex string + constant exponent_width : NATURAL := float_exponent_width; + constant fraction_width : NATURAL := float_fraction_width) + return UNRESOLVED_float; + alias from_hex_string is from_hstring [STRING, NATURAL, NATURAL + return UNRESOLVED_float]; + + function from_string ( + bstring : STRING; -- binary string + size_res : UNRESOLVED_float) -- used for sizing only + return UNRESOLVED_float; + alias from_bstring is from_string [STRING, UNRESOLVED_float + return UNRESOLVED_float]; + alias from_binary_string is from_string [STRING, UNRESOLVED_float + return UNRESOLVED_float]; + + function from_ostring ( + ostring : STRING; -- Octal string + size_res : UNRESOLVED_float) -- used for sizing only + return UNRESOLVED_float; + alias from_octal_string is from_ostring [STRING, UNRESOLVED_float + return UNRESOLVED_float]; + + function from_hstring ( + hstring : STRING; -- hex string + size_res : UNRESOLVED_float) -- used for sizing only + return UNRESOLVED_float; + alias from_hex_string is from_hstring [STRING, UNRESOLVED_float + return UNRESOLVED_float]; + +end package float_generic_pkg; |