Add ieee 2008 packages.

1 files changed, 1600 insertions, 0 deletions

diff --git a/libraries/ieee2008/math_complex-body.vhdl b/libraries/ieee2008/math_complex-body.vhdl
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+-- --------------------------------------------------------------------
+--
+-- 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     :  Standard VHDL Mathematical Packages
+--             :  (MATH_COMPLEX package body)
+--             :
+--   Library   :  This package shall be compiled into a library
+--             :  symbolically named IEEE.
+--             :
+--   Developers:  IEEE DASC VHDL Mathematical Packages Working Group
+--             :
+--   Purpose   :  This package defines a standard for designers to use in
+--             :  describing VHDL models that make use of common COMPLEX
+--             :  constants and common COMPLEX mathematical functions and
+--             :  operators.
+--             :
+--   Limitation:  The values generated by the functions in this package
+--             :  may vary from platform to platform, and the precision
+--             :  of results is only guaranteed to be the minimum required
+--             :  by IEEE Std 1076-2008.
+--             :
+--   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 WORK.MATH_REAL.all;
+
+package body MATH_COMPLEX is
+
+    --
+    -- Equality and Inequality Operators for COMPLEX_POLAR
+    --
+    function "=" ( L: in COMPLEX_POLAR;  R: in COMPLEX_POLAR ) return BOOLEAN
+                                                                         is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        a) Returns FALSE on error
+    begin
+        -- Check validity of input arguments
+        if ( L.ARG = -MATH_PI ) then
+                assert FALSE
+                            report "L.ARG = -MATH_PI in =(L,R)"
+                            severity ERROR;
+                return FALSE;
+        end if;
+
+        if ( R.ARG = -MATH_PI ) then
+                assert FALSE
+                            report "R.ARG = -MATH_PI in =(L,R)"
+                            severity ERROR;
+                return FALSE;
+        end if;
+
+        -- Get special values
+        if ( L.MAG = 0.0 and R.MAG = 0.0 ) then
+                return TRUE;
+        end if;
+
+        -- Get value for general case
+        if ( L.MAG = R.MAG and L.ARG = R.ARG ) then
+                return TRUE;
+        end if;
+
+        return FALSE;
+    end function "=";
+
+
+    function "/=" ( L: in COMPLEX_POLAR;  R: in COMPLEX_POLAR ) return BOOLEAN
+                                                                         is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        a) Returns FALSE on error
+    begin
+        -- Check validity of input arguments
+        if ( L.ARG = -MATH_PI ) then
+                assert FALSE
+                            report "L.ARG = -MATH_PI in /=(L,R)"
+                            severity ERROR;
+                return FALSE;
+        end if;
+
+        if ( R.ARG = -MATH_PI ) then
+                assert FALSE
+                            report "R.ARG = -MATH_PI in /=(L,R)"
+                            severity ERROR;
+                return FALSE;
+        end if;
+
+        -- Get special values
+        if ( L.MAG = 0.0 and R.MAG = 0.0 ) then
+                return FALSE;
+        end if;
+
+        -- Get value for general case
+        if ( L.MAG = R.MAG and L.ARG = R.ARG ) then
+                return FALSE;
+        end if;
+
+        return TRUE;
+    end function "/=";
+
+    --
+    -- Other Functions Start Here
+    --
+
+    function CMPLX(X: in REAL;  Y: in REAL := 0.0 ) return COMPLEX is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        None
+    begin
+        return COMPLEX'(X, Y);
+    end function CMPLX;
+
+
+    function GET_PRINCIPAL_VALUE(X: in REAL ) return PRINCIPAL_VALUE is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        None
+        variable TEMP: REAL;
+    begin
+        -- Check if already a principal value
+        if ( X > -MATH_PI and X <= MATH_PI ) then
+                return PRINCIPAL_VALUE'(X);
+        end if;
+
+        -- Get principal value
+        TEMP := X;
+        while ( TEMP <= -MATH_PI ) loop
+                TEMP := TEMP + MATH_2_PI;
+        end loop;
+        while (TEMP > MATH_PI ) loop
+                TEMP := TEMP - MATH_2_PI;
+        end loop;
+
+        return PRINCIPAL_VALUE'(TEMP);
+    end function GET_PRINCIPAL_VALUE;
+
+    function COMPLEX_TO_POLAR(Z: in COMPLEX ) return COMPLEX_POLAR is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        None
+        variable TEMP: REAL;
+    begin
+        -- Get value for special cases
+        if ( Z.RE = 0.0 ) then
+            if ( Z.IM = 0.0 ) then
+                return COMPLEX_POLAR'(0.0, 0.0);
+            elsif ( Z.IM > 0.0 ) then
+                return COMPLEX_POLAR'(Z.IM, MATH_PI_OVER_2);
+            else
+                return COMPLEX_POLAR'(-Z.IM, -MATH_PI_OVER_2);
+            end if;
+        end if;
+
+        if ( Z.IM = 0.0 ) then
+            if ( Z.RE = 0.0 ) then
+                return COMPLEX_POLAR'(0.0, 0.0);
+            elsif ( Z.RE > 0.0 ) then
+                return COMPLEX_POLAR'(Z.RE, 0.0);
+            else
+                return COMPLEX_POLAR'(-Z.RE, MATH_PI);
+            end if;
+        end if;
+
+        -- Get principal value for general case
+        TEMP := ARCTAN(Z.IM, Z.RE);
+
+        return COMPLEX_POLAR'(SQRT(Z.RE*Z.RE + Z.IM*Z.IM),
+                                                 GET_PRINCIPAL_VALUE(TEMP));
+    end function COMPLEX_TO_POLAR;
+
+    function POLAR_TO_COMPLEX(Z: in COMPLEX_POLAR ) return COMPLEX is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        a) Returns MATH_CZERO on error
+    begin
+        -- Check validity of input arguments
+        if ( Z.ARG = -MATH_PI ) then
+                assert FALSE
+                       report "Z.ARG = -MATH_PI in POLAR_TO_COMPLEX(Z)"
+                       severity ERROR;
+                return MATH_CZERO;
+        end if;
+
+        -- Get value for general case
+        return COMPLEX'( Z.MAG*COS(Z.ARG), Z.MAG*SIN(Z.ARG) );
+    end function POLAR_TO_COMPLEX;
+
+
+    function "ABS"(Z: in COMPLEX ) return POSITIVE_REAL is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        a) ABS(Z) = SQRT(Z.RE*Z.RE + Z.IM*Z.IM)
+
+    begin
+        -- Get value for general case
+        return POSITIVE_REAL'(SQRT(Z.RE*Z.RE + Z.IM*Z.IM));
+    end function "ABS";
+
+    function "ABS"(Z: in COMPLEX_POLAR ) return POSITIVE_REAL is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        a) ABS(Z) = Z.MAG
+        --        b) Returns 0.0 on error
+
+    begin
+        -- Check validity of input arguments
+        if ( Z.ARG = -MATH_PI ) then
+                  assert FALSE
+                            report "Z.ARG = -MATH_PI in ABS(Z)"
+                            severity ERROR;
+                  return 0.0;
+        end if;
+
+        -- Get value for general case
+        return Z.MAG;
+    end function "ABS";
+
+
+    function ARG(Z: in COMPLEX ) return PRINCIPAL_VALUE is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        a) ARG(Z) = ARCTAN(Z.IM, Z.RE)
+
+        variable ZTEMP : COMPLEX_POLAR;
+    begin
+        -- Get value for general case
+        ZTEMP := COMPLEX_TO_POLAR(Z);
+        return ZTEMP.ARG;
+    end function ARG;
+
+    function ARG(Z: in COMPLEX_POLAR ) return PRINCIPAL_VALUE is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        a) ARG(Z) = Z.ARG
+        --        b) Returns 0.0 on error
+
+    begin
+        -- Check validity of input arguments
+        if ( Z.ARG = -MATH_PI ) then
+                  assert FALSE
+                            report "Z.ARG = -MATH_PI in ARG(Z)"
+                            severity ERROR;
+                  return 0.0;
+        end if;
+
+        -- Get value for general case
+        return Z.ARG;
+    end function ARG;
+
+    function "-" (Z: in COMPLEX ) return COMPLEX is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        a) Returns -x -jy for Z = x + jy
+    begin
+        -- Get value for general case
+        return COMPLEX'(-Z.RE, -Z.IM);
+    end function "-";
+
+    function "-" (Z: in COMPLEX_POLAR ) return COMPLEX_POLAR is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        a) Returns (Z.MAG, Z.ARG + MATH_PI)
+        --        b) Returns Z on error
+        variable TEMP: REAL;
+    begin
+        -- Check validity of input arguments
+        if ( Z.ARG = -MATH_PI ) then
+                  assert FALSE
+                            report "Z.ARG = -MATH_PI in -(Z)"
+                            severity ERROR;
+                  return Z;
+        end if;
+
+        -- Get principal value for general case
+        TEMP := REAL'(Z.ARG) + MATH_PI;
+
+        return COMPLEX_POLAR'(Z.MAG, GET_PRINCIPAL_VALUE(TEMP));
+    end function "-";
+
+    function CONJ (Z: in COMPLEX) return COMPLEX is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        a) Returns x - jy for Z = x + jy
+    begin
+        -- Get value for general case
+        return COMPLEX'(Z.RE, -Z.IM);
+    end function CONJ;
+
+    function CONJ (Z: in COMPLEX_POLAR) return COMPLEX_POLAR is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        a) Returns COMPLEX conjugate (Z.MAG, -Z.ARG)
+        --        b) Returns Z on error
+        --
+        variable TEMP: PRINCIPAL_VALUE;
+    begin
+        -- Check validity of input arguments
+        if ( Z.ARG = -MATH_PI ) then
+                  assert FALSE
+                            report "Z.ARG = -MATH_PI in CONJ(Z)"
+                            severity ERROR;
+                  return Z;
+        end if;
+
+        -- Get principal value for general case
+        if ( Z.ARG = MATH_PI or Z.ARG = 0.0 ) then
+                TEMP := Z.ARG;
+        else
+                TEMP := -Z.ARG;
+        end if;
+
+         return COMPLEX_POLAR'(Z.MAG, TEMP);
+    end function CONJ;
+
+    function SQRT(Z: in COMPLEX ) return COMPLEX is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        None
+        variable ZTEMP : COMPLEX_POLAR;
+        variable ZOUT : COMPLEX;
+        variable TMAG : REAL;
+        variable TARG : REAL;
+    begin
+        -- Get value for special cases
+        if ( Z = MATH_CZERO ) then
+                return MATH_CZERO;
+        end if;
+
+        -- Get value for general case
+        ZTEMP := COMPLEX_TO_POLAR(Z);
+        TMAG := SQRT(ZTEMP.MAG);
+        TARG := 0.5*ZTEMP.ARG;
+
+        if ( COS(TARG) > 0.0 ) then
+                ZOUT.RE := TMAG*COS(TARG);
+                ZOUT.IM := TMAG*SIN(TARG);
+                return ZOUT;
+        end if;
+
+        if ( COS(TARG) < 0.0 ) then
+                ZOUT.RE := TMAG*COS(TARG + MATH_PI);
+                ZOUT.IM := TMAG*SIN(TARG + MATH_PI);
+                return ZOUT;
+        end if;
+
+        if ( SIN(TARG) > 0.0 ) then
+                ZOUT.RE := 0.0;
+                ZOUT.IM := TMAG*SIN(TARG);
+                return ZOUT;
+        end if;
+
+        ZOUT.RE := 0.0;
+        ZOUT.IM := TMAG*SIN(TARG + MATH_PI);
+        return ZOUT;
+    end function SQRT;
+
+    function SQRT(Z: in COMPLEX_POLAR ) return COMPLEX_POLAR is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        a) Returns Z on error
+
+        variable ZOUT : COMPLEX_POLAR;
+        variable TMAG : REAL;
+        variable TARG : REAL;
+    begin
+        -- Check validity of input arguments
+        if ( Z.ARG = -MATH_PI ) then
+                  assert FALSE
+                            report "Z.ARG = -MATH_PI in SQRT(Z)"
+                            severity ERROR;
+                  return Z;
+        end if;
+
+        -- Get value for special cases
+        if ( Z.MAG = 0.0 and Z.ARG = 0.0 ) then
+                return Z;
+        end if;
+
+        -- Get principal value for general case
+        TMAG := SQRT(Z.MAG);
+        TARG := 0.5*Z.ARG;
+
+        ZOUT.MAG := POSITIVE_REAL'(TMAG);
+
+        if ( COS(TARG) < 0.0 ) then
+                TARG := TARG + MATH_PI;
+        end if;
+
+        if ( (COS(TARG) = 0.0) and (SIN(TARG) < 0.0) ) then
+                TARG := TARG + MATH_PI;
+        end if;
+
+        ZOUT.ARG := GET_PRINCIPAL_VALUE(TARG);
+        return ZOUT;
+    end function SQRT;
+
+    function EXP(Z: in COMPLEX ) return COMPLEX is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        None
+
+        variable TEMP: REAL;
+    begin
+        -- Get value for special cases
+        if ( Z = MATH_CZERO ) then
+                return MATH_CBASE_1;
+        end if;
+
+        if ( Z.RE = 0.0 ) then
+                if ( Z.IM = MATH_PI or Z.IM = -MATH_PI ) then
+                        return COMPLEX'(-1.0, 0.0);
+                end if;
+
+                if ( Z.IM = MATH_PI_OVER_2 ) then
+                        return MATH_CBASE_J;
+                end if;
+
+                if ( Z.IM = -MATH_PI_OVER_2 ) then
+                        return COMPLEX'(0.0, -1.0);
+                end if;
+        end if;
+
+        -- Get value for general case
+        TEMP := EXP(Z.RE);
+        return COMPLEX'(TEMP*COS(Z.IM), TEMP*SIN(Z.IM));
+    end function EXP;
+
+    function EXP(Z: in COMPLEX_POLAR ) return COMPLEX_POLAR is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        a) Returns Z on error
+
+        variable ZTEMP : COMPLEX;
+        variable temp: REAL;
+        variable ZOUT : COMPLEX_POLAR;
+    begin
+        -- Check validity of input arguments
+        if ( Z.ARG = -MATH_PI ) then
+                  assert FALSE
+                            report "Z.ARG = -MATH_PI in EXP(Z)"
+                            severity ERROR;
+                  return Z;
+        end if;
+
+        -- Get value for special cases
+        if ( Z.MAG = 0.0 and Z.ARG = 0.0 ) then
+                return COMPLEX_POLAR'(1.0, 0.0);
+        end if;
+
+        if ( Z.MAG = MATH_PI and (Z.ARG = MATH_PI_OVER_2 or
+                                                 Z.ARG = -MATH_PI_OVER_2 )) then
+                return COMPLEX_POLAR'(1.0, MATH_PI);
+        end if;
+
+        if ( Z.MAG = MATH_PI_OVER_2 ) then
+                if ( Z.ARG = MATH_PI_OVER_2 ) then
+                        return COMPLEX_POLAR'(1.0, MATH_PI_OVER_2);
+                end if;
+
+                if ( Z.ARG = -MATH_PI_OVER_2 ) then
+                        return COMPLEX_POLAR'(1.0, -MATH_PI_OVER_2);
+                end if;
+        end if;
+
+        -- Get principal value for general case
+        ZTEMP := POLAR_TO_COMPLEX(Z);
+        ZOUT.MAG := POSITIVE_REAL'(EXP(ZTEMP.RE));
+        ZOUT.ARG := GET_PRINCIPAL_VALUE(ZTEMP.IM);
+
+        return ZOUT;
+    end function EXP;
+
+    function LOG(Z: in COMPLEX ) return COMPLEX is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        a) Returns COMPLEX'(REAL'LOW, 0.0) on error
+
+        variable ZTEMP : COMPLEX_POLAR;
+        variable TEMP : REAL;
+    begin
+        -- Check validity of input arguments
+        if ( Z.RE = 0.0  and Z.IM = 0.0 ) then
+                assert FALSE
+                        report "Z.RE = 0.0 and Z.IM = 0.0 in LOG(Z)"
+                        severity ERROR;
+                return COMPLEX'(REAL'LOW, 0.0);
+        end if;
+
+        -- Get value for special cases
+        if ( Z.IM = 0.0 ) then
+                if ( Z.RE = -1.0 ) then
+                        return COMPLEX'(0.0, MATH_PI);
+                end if;
+                if ( Z.RE = MATH_E ) then
+                        return MATH_CBASE_1;
+                end if;
+                if ( Z.RE = 1.0 ) then
+                        return MATH_CZERO;
+                end if;
+        end if;
+
+        if ( Z.RE = 0.0 ) then
+                if (Z.IM = 1.0) then
+                        return COMPLEX'(0.0, MATH_PI_OVER_2);
+                end if;
+                if (Z.IM = -1.0) then
+                        return COMPLEX'(0.0, -MATH_PI_OVER_2);
+                end if;
+        end if;
+
+        -- Get value for general case
+        ZTEMP := COMPLEX_TO_POLAR(Z);
+        TEMP := LOG(ZTEMP.MAG);
+        return COMPLEX'(TEMP, ZTEMP.ARG);
+    end function LOG;
+
+    function LOG2(Z: in COMPLEX ) return COMPLEX is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        a) Returns COMPLEX'(REAL'LOW, 0.0) on error
+
+        variable ZTEMP : COMPLEX_POLAR;
+        variable TEMP : REAL;
+    begin
+
+        -- Check validity of input arguments
+        if ( Z.RE = 0.0  and Z.IM = 0.0 ) then
+                assert FALSE
+                        report "Z.RE = 0.0 and Z.IM = 0.0 in LOG2(Z)"
+                        severity ERROR;
+                return COMPLEX'(REAL'LOW, 0.0);
+        end if;
+
+        -- Get value for special cases
+        if ( Z.IM = 0.0 ) then
+                if ( Z.RE = 2.0 ) then
+                        return MATH_CBASE_1;
+                end if;
+                if ( Z.RE = 1.0 ) then
+                        return MATH_CZERO;
+                end if;
+        end if;
+
+        -- Get value for general case
+        ZTEMP := COMPLEX_TO_POLAR(Z);
+        TEMP := MATH_LOG2_OF_E*LOG(ZTEMP.MAG);
+        return COMPLEX'(TEMP, MATH_LOG2_OF_E*ZTEMP.ARG);
+    end function LOG2;
+
+    function LOG10(Z: in COMPLEX ) return COMPLEX is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        a) Returns COMPLEX'(REAL'LOW, 0.0) on error
+
+        variable ZTEMP : COMPLEX_POLAR;
+        variable TEMP : REAL;
+    begin
+        -- Check validity of input arguments
+        if ( Z.RE = 0.0  and Z.IM = 0.0 ) then
+                assert FALSE
+                        report "Z.RE = 0.0 and Z.IM = 0.0 in LOG10(Z)"
+                        severity ERROR;
+                return COMPLEX'(REAL'LOW, 0.0);
+        end if;
+
+        -- Get value for special cases
+        if ( Z.IM = 0.0 ) then
+                if ( Z.RE = 10.0 ) then
+                        return MATH_CBASE_1;
+                end if;
+                if ( Z.RE = 1.0 ) then
+                        return MATH_CZERO;
+                end if;
+        end if;
+
+        -- Get value for general case
+        ZTEMP := COMPLEX_TO_POLAR(Z);
+        TEMP := MATH_LOG10_OF_E*LOG(ZTEMP.MAG);
+        return COMPLEX'(TEMP, MATH_LOG10_OF_E*ZTEMP.ARG);
+    end function LOG10;
+
+
+    function LOG(Z: in COMPLEX_POLAR ) return COMPLEX_POLAR is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        a) Returns COMPLEX_POLAR(REAL'HIGH, MATH_PI) on error
+
+        variable ZTEMP : COMPLEX;
+        variable ZOUT : COMPLEX_POLAR;
+    begin
+        -- Check validity of input arguments
+        if ( Z.MAG <= 0.0 ) then
+                assert FALSE
+                        report "Z.MAG <= 0.0 in LOG(Z)"
+                        severity ERROR;
+                return COMPLEX_POLAR'(REAL'HIGH, MATH_PI);
+        end if;
+
+        if ( Z.ARG = -MATH_PI ) then
+                  assert FALSE
+                            report "Z.ARG = -MATH_PI in LOG(Z)"
+                            severity ERROR;
+                return COMPLEX_POLAR'(REAL'HIGH, MATH_PI);
+        end if;
+
+        -- Compute value for special cases
+        if (Z.MAG = 1.0 ) then
+                if ( Z.ARG = 0.0 ) then
+                        return COMPLEX_POLAR'(0.0, 0.0);
+                end if;
+
+                if ( Z.ARG = MATH_PI ) then
+                        return COMPLEX_POLAR'(MATH_PI, MATH_PI_OVER_2);
+                end if;
+
+                if ( Z.ARG = MATH_PI_OVER_2 ) then
+                        return COMPLEX_POLAR'(MATH_PI_OVER_2, MATH_PI_OVER_2);
+                end if;
+
+                if ( Z.ARG = -MATH_PI_OVER_2 ) then
+                        return COMPLEX_POLAR'(MATH_PI_OVER_2, -MATH_PI_OVER_2);
+                end if;
+        end if;
+
+        if ( Z.MAG = MATH_E and Z.ARG = 0.0 ) then
+                return COMPLEX_POLAR'(1.0, 0.0);
+        end if;
+
+        -- Compute value for general case
+        ZTEMP.RE := LOG(Z.MAG);
+        ZTEMP.IM := Z.ARG;
+        ZOUT := COMPLEX_TO_POLAR(ZTEMP);
+        return ZOUT;
+    end function LOG;
+
+
+
+    function LOG2(Z: in COMPLEX_POLAR ) return COMPLEX_POLAR is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        a) Returns COMPLEX_POLAR(REAL'HIGH, MATH_PI) on error
+
+        variable ZTEMP : COMPLEX;
+        variable ZOUT : COMPLEX_POLAR;
+    begin
+        -- Check validity of input arguments
+        if ( Z.MAG <= 0.0 ) then
+                assert FALSE
+                        report "Z.MAG <= 0.0 in LOG2(Z)"
+                        severity ERROR;
+                return COMPLEX_POLAR'(REAL'HIGH, MATH_PI);
+        end if;
+
+        if ( Z.ARG = -MATH_PI ) then
+                  assert FALSE
+                            report "Z.ARG = -MATH_PI in LOG2(Z)"
+                            severity ERROR;
+                return COMPLEX_POLAR'(REAL'HIGH, MATH_PI);
+        end if;
+
+        -- Compute value for special cases
+        if (Z.MAG = 1.0 and Z.ARG = 0.0 ) then
+                return COMPLEX_POLAR'(0.0, 0.0);
+        end if;
+
+        if ( Z.MAG = 2.0 and Z.ARG = 0.0 ) then
+                return COMPLEX_POLAR'(1.0, 0.0);
+        end if;
+
+        -- Compute value for general case
+        ZTEMP.RE := MATH_LOG2_OF_E*LOG(Z.MAG);
+        ZTEMP.IM := MATH_LOG2_OF_E*Z.ARG;
+        ZOUT := COMPLEX_TO_POLAR(ZTEMP);
+        return ZOUT;
+    end function LOG2;
+
+    function LOG10(Z: in COMPLEX_POLAR ) return COMPLEX_POLAR is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        a) Returns COMPLEX_POLAR(REAL'HIGH, MATH_PI) on error
+        variable ZTEMP : COMPLEX;
+        variable ZOUT : COMPLEX_POLAR;
+    begin
+        -- Check validity of input arguments
+        if ( Z.MAG <= 0.0 ) then
+                assert FALSE
+                        report "Z.MAG <= 0.0 in LOG10(Z)"
+                        severity ERROR;
+                return COMPLEX_POLAR'(REAL'HIGH, MATH_PI);
+        end if;
+
+
+        if ( Z.ARG = -MATH_PI ) then
+                  assert FALSE
+                           report "Z.ARG = -MATH_PI in LOG10(Z)"
+                           severity ERROR;
+                return COMPLEX_POLAR'(REAL'HIGH, MATH_PI);
+        end if;
+
+        -- Compute value for special cases
+        if (Z.MAG = 1.0 and Z.ARG = 0.0 ) then
+                return COMPLEX_POLAR'(0.0, 0.0);
+        end if;
+
+        if ( Z.MAG = 10.0 and Z.ARG = 0.0 ) then
+                return COMPLEX_POLAR'(1.0, 0.0);
+        end if;
+
+        -- Compute value for general case
+        ZTEMP.RE := MATH_LOG10_OF_E*LOG(Z.MAG);
+        ZTEMP.IM := MATH_LOG10_OF_E*Z.ARG;
+        ZOUT := COMPLEX_TO_POLAR(ZTEMP);
+        return ZOUT;
+    end function LOG10;
+
+    function LOG(Z: in COMPLEX; BASE: in REAL ) return COMPLEX is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        a) Returns COMPLEX'(REAL'LOW, 0.0) on error
+
+        variable ZTEMP : COMPLEX_POLAR;
+        variable TEMPRE : REAL;
+        variable TEMPIM : REAL;
+    begin
+        -- Check validity of input arguments
+        if ( Z.RE = 0.0  and Z.IM = 0.0 ) then
+                assert FALSE
+                        report "Z.RE = 0.0 and Z.IM = 0.0 in LOG(Z,BASE)"
+                        severity ERROR;
+                return COMPLEX'(REAL'LOW, 0.0);
+        end if;
+
+        if ( BASE <= 0.0 or BASE = 1.0 ) then
+                assert FALSE
+                        report "BASE <= 0.0 or BASE = 1.0 in LOG(Z,BASE)"
+                        severity ERROR;
+                return COMPLEX'(REAL'LOW, 0.0);
+        end if;
+
+        -- Get value for special cases
+        if ( Z.IM = 0.0 ) then
+                if ( Z.RE = BASE ) then
+                        return MATH_CBASE_1;
+                end if;
+                if ( Z.RE = 1.0 ) then
+                        return MATH_CZERO;
+                end if;
+        end if;
+
+        -- Get value for general case
+        ZTEMP := COMPLEX_TO_POLAR(Z);
+        TEMPRE := LOG(ZTEMP.MAG, BASE);
+        TEMPIM := ZTEMP.ARG/LOG(BASE);
+        return COMPLEX'(TEMPRE, TEMPIM);
+    end function LOG;
+
+    function LOG(Z: in COMPLEX_POLAR; BASE: in REAL ) return COMPLEX_POLAR is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        a) Returns COMPLEX_POLAR(REAL'HIGH, MATH_PI) on error
+
+        variable ZTEMP : COMPLEX;
+        variable ZOUT : COMPLEX_POLAR;
+    begin
+        -- Check validity of input arguments
+        if ( Z.MAG <= 0.0 ) then
+                assert FALSE
+                        report "Z.MAG <= 0.0 in LOG(Z,BASE)"
+                        severity ERROR;
+                return COMPLEX_POLAR'(REAL'HIGH, MATH_PI);
+        end if;
+
+        if ( BASE <= 0.0 or BASE = 1.0 ) then
+                assert FALSE
+                        report "BASE <= 0.0 or BASE = 1.0 in LOG(Z,BASE)"
+                        severity ERROR;
+                return COMPLEX_POLAR'(REAL'HIGH, MATH_PI);
+        end if;
+
+        if ( Z.ARG = -MATH_PI ) then
+                assert FALSE
+                           report "Z.ARG = -MATH_PI in LOG(Z,BASE)"
+                           severity ERROR;
+                return COMPLEX_POLAR'(REAL'HIGH, MATH_PI);
+        end if;
+
+        -- Compute value for special cases
+        if (Z.MAG = 1.0 and Z.ARG = 0.0 ) then
+                return COMPLEX_POLAR'(0.0, 0.0);
+        end if;
+
+        if ( Z.MAG = BASE and Z.ARG = 0.0 ) then
+                return COMPLEX_POLAR'(1.0, 0.0);
+        end if;
+
+        -- Compute value for general case
+        ZTEMP.RE := LOG(Z.MAG, BASE);
+        ZTEMP.IM := Z.ARG/LOG(BASE);
+        ZOUT := COMPLEX_TO_POLAR(ZTEMP);
+        return ZOUT;
+    end function LOG;
+
+
+    function SIN(Z: in COMPLEX ) return COMPLEX is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        None
+    begin
+        -- Get value for special cases
+        if ( Z.IM = 0.0 ) then
+                if ( Z.RE = 0.0 or Z.RE = MATH_PI) then
+                        return MATH_CZERO;
+                end if;
+        end if;
+
+        -- Get value for general case
+        return COMPLEX'(SIN(Z.RE)*COSH(Z.IM), COS(Z.RE)*SINH(Z.IM));
+    end function SIN;
+
+    function SIN(Z: in COMPLEX_POLAR ) return COMPLEX_POLAR is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        a) Returns COMPLEX_POLAR(0.0, 0.0) on error
+
+        variable Z1, Z2 : COMPLEX;
+        variable ZOUT : COMPLEX_POLAR;
+    begin
+        -- Check validity of input arguments
+        if ( Z.ARG = -MATH_PI ) then
+                assert FALSE
+                            report "Z.ARG = -MATH_PI in SIN(Z)"
+                            severity ERROR;
+                return COMPLEX_POLAR'(0.0, 0.0);
+        end if;
+
+        -- Compute value for special cases
+        if ( Z.MAG = 0.0 and Z.ARG = 0.0 ) then
+                return COMPLEX_POLAR'(0.0, 0.0);
+        end if;
+
+        if ( Z.MAG = MATH_PI and Z.ARG = 0.0 ) then
+                return COMPLEX_POLAR'(0.0, 0.0);
+        end if;
+
+        -- Compute value for general case
+        Z1 := POLAR_TO_COMPLEX(Z);
+        Z2 := COMPLEX'(SIN(Z1.RE)*COSH(Z1.IM), COS(Z1.RE)*SINH(Z1.IM));
+        ZOUT := COMPLEX_TO_POLAR(Z2);
+        return ZOUT;
+    end function SIN;
+
+    function COS(Z: in COMPLEX ) return COMPLEX is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        None
+    begin
+
+
+        -- Get value for special cases
+        if ( Z.IM = 0.0 ) then
+                if ( Z.RE = MATH_PI_OVER_2 or Z.RE = -MATH_PI_OVER_2) then
+                        return MATH_CZERO;
+                end if;
+        end if;
+
+        -- Get value for general case
+        return COMPLEX'(COS(Z.RE)*COSH(Z.IM), -SIN(Z.RE)*SINH(Z.IM));
+    end function COS;
+
+    function COS(Z: in COMPLEX_POLAR ) return COMPLEX_POLAR is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        a) Returns COMPLEX_POLAR(0.0, 0.0) on error
+
+        variable Z1, Z2 : COMPLEX;
+        variable ZOUT : COMPLEX_POLAR;
+    begin
+        -- Check validity of input arguments
+        if ( Z.ARG = -MATH_PI ) then
+                assert FALSE
+                            report "Z.ARG = -MATH_PI in COS(Z)"
+                            severity ERROR;
+                return COMPLEX_POLAR'(0.0, 0.0);
+        end if;
+
+        -- Compute value for special cases
+        if ( Z.MAG = MATH_PI_OVER_2 and Z.ARG = 0.0 ) then
+                return COMPLEX_POLAR'(0.0, 0.0);
+        end if;
+
+        if ( Z.MAG = MATH_PI_OVER_2 and Z.ARG = MATH_PI ) then
+                return COMPLEX_POLAR'(0.0, 0.0);
+        end if;
+
+        -- Compute value for general case
+        Z1 := POLAR_TO_COMPLEX(Z);
+        Z2 := COMPLEX'(COS(Z1.RE)*COSH(Z1.IM), -SIN(Z1.RE)*SINH(Z1.IM));
+        ZOUT := COMPLEX_TO_POLAR(Z2);
+        return ZOUT;
+    end function COS;
+
+    function SINH(Z: in COMPLEX ) return COMPLEX is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        None
+    begin
+        -- Get value for special cases
+        if ( Z.RE = 0.0 ) then
+                if ( Z.IM = 0.0 or Z.IM = MATH_PI ) then
+                        return MATH_CZERO;
+                end if;
+
+
+
+                if ( Z.IM = MATH_PI_OVER_2 ) then
+                        return MATH_CBASE_J;
+                end if;
+
+                if ( Z.IM = -MATH_PI_OVER_2 ) then
+                        return -MATH_CBASE_J;
+                end if;
+        end if;
+
+        -- Get value for general case
+        return COMPLEX'(SINH(Z.RE)*COS(Z.IM), COSH(Z.RE)*SIN(Z.IM));
+    end function SINH;
+
+    function SINH(Z: in COMPLEX_POLAR ) return COMPLEX_POLAR is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        a) Returns COMPLEX_POLAR(0.0, 0.0) on error
+
+        variable Z1, Z2 : COMPLEX;
+        variable ZOUT : COMPLEX_POLAR;
+    begin
+        -- Check validity of input arguments
+        if ( Z.ARG = -MATH_PI ) then
+                assert FALSE
+                            report "Z.ARG = -MATH_PI in SINH(Z)"
+                            severity ERROR;
+                return COMPLEX_POLAR'(0.0, 0.0);
+        end if;
+
+        -- Compute value for special cases
+        if ( Z.MAG = 0.0 and Z.ARG = 0.0 ) then
+                return COMPLEX_POLAR'(0.0, 0.0);
+        end if;
+
+        if ( Z.MAG = MATH_PI and Z.ARG = MATH_PI_OVER_2 ) then
+                return COMPLEX_POLAR'(0.0, 0.0);
+        end if;
+
+        if ( Z.MAG = MATH_PI_OVER_2 and Z.ARG = MATH_PI_OVER_2 ) then
+                return COMPLEX_POLAR'(1.0, MATH_PI_OVER_2);
+        end if;
+
+        if ( Z.MAG = MATH_PI_OVER_2 and Z.ARG = -MATH_PI_OVER_2 ) then
+                return COMPLEX_POLAR'(1.0, -MATH_PI_OVER_2);
+        end if;
+
+        -- Compute value for general case
+        Z1 := POLAR_TO_COMPLEX(Z);
+        Z2 := COMPLEX'(SINH(Z1.RE)*COS(Z1.IM), COSH(Z1.RE)*SIN(Z1.IM));
+        ZOUT := COMPLEX_TO_POLAR(Z2);
+        return ZOUT;
+    end function SINH;
+
+
+    function COSH(Z: in COMPLEX ) return COMPLEX is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        None
+    begin
+        -- Get value for special cases
+        if ( Z.RE = 0.0 ) then
+                if ( Z.IM = 0.0 ) then
+                        return MATH_CBASE_1;
+                end if;
+
+                if ( Z.IM = MATH_PI ) then
+                        return -MATH_CBASE_1;
+                end if;
+
+                if ( Z.IM = MATH_PI_OVER_2 or Z.IM = -MATH_PI_OVER_2 ) then
+                        return MATH_CZERO;
+                end if;
+        end if;
+
+        -- Get value for general case
+        return COMPLEX'(COSH(Z.RE)*COS(Z.IM), SINH(Z.RE)*SIN(Z.IM));
+    end function COSH;
+
+    function COSH(Z: in COMPLEX_POLAR ) return COMPLEX_POLAR is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        a) Returns COMPLEX_POLAR(0.0, 0.0) on error
+
+        variable Z1, Z2 : COMPLEX;
+        variable ZOUT : COMPLEX_POLAR;
+    begin
+        -- Check validity of input arguments
+        if ( Z.ARG = -MATH_PI ) then
+                assert FALSE
+                            report "Z.ARG = -MATH_PI in COSH(Z)"
+                            severity ERROR;
+                return COMPLEX_POLAR'(0.0, 0.0);
+        end if;
+
+        -- Compute value for special cases
+        if ( Z.MAG = 0.0 and Z.ARG = 0.0 ) then
+                return COMPLEX_POLAR'(1.0, 0.0);
+        end if;
+
+        if ( Z.MAG = MATH_PI and Z.ARG = MATH_PI_OVER_2 ) then
+                return COMPLEX_POLAR'(1.0, MATH_PI);
+        end if;
+
+        if ( Z.MAG = MATH_PI_OVER_2 and Z.ARG = MATH_PI_OVER_2 ) then
+                return COMPLEX_POLAR'(0.0, 0.0);
+        end if;
+
+        if ( Z.MAG = MATH_PI_OVER_2 and Z.ARG = -MATH_PI_OVER_2 ) then
+                return COMPLEX_POLAR'(0.0, 0.0);
+        end if;
+
+        -- Compute value for general case
+        Z1 := POLAR_TO_COMPLEX(Z);
+        Z2 := COMPLEX'(COSH(Z1.RE)*COS(Z1.IM), SINH(Z1.RE)*SIN(Z1.IM));
+        ZOUT := COMPLEX_TO_POLAR(Z2);
+        return ZOUT;
+    end function COSH;
+
+
+    --
+    -- Arithmetic Operators
+    --
+    function "+" ( L: in COMPLEX;  R: in COMPLEX ) return COMPLEX is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        None
+    begin
+        return COMPLEX'(L.RE + R.RE, L.IM + R.IM);
+    end function "+";
+
+    function "+" ( L: in REAL; R: in COMPLEX ) return COMPLEX is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        None
+    begin
+        return COMPLEX'(L + R.RE, R.IM);
+    end function "+";
+
+    function "+" ( L: in COMPLEX;  R: in REAL )    return COMPLEX is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        None
+    begin
+        return COMPLEX'(L.RE + R, L.IM);
+    end function "+";
+
+    function "+" (L: in COMPLEX_POLAR; R: in COMPLEX_POLAR)
+                                                        return COMPLEX_POLAR is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        a) Returns COMPLEX_POLAR'(0.0, 0.0) on error
+        --
+        variable ZL, ZR : COMPLEX;
+        variable ZOUT : COMPLEX_POLAR;
+    begin
+        -- Check validity of input arguments
+        if ( L.ARG = -MATH_PI ) then
+                assert FALSE
+                            report "L.ARG = -MATH_PI in +(L,R)"
+                            severity ERROR;
+                return COMPLEX_POLAR'(0.0, 0.0);
+        end if;
+
+
+        if ( R.ARG = -MATH_PI ) then
+                assert FALSE
+                            report "R.ARG = -MATH_PI in +(L,R)"
+                            severity ERROR;
+                return COMPLEX_POLAR'(0.0, 0.0);
+        end if;
+
+        -- Get principal value
+        ZL := POLAR_TO_COMPLEX( L );
+        ZR := POLAR_TO_COMPLEX( R );
+        ZOUT := COMPLEX_TO_POLAR(COMPLEX'(ZL.RE + ZR.RE, ZL.IM +ZR.IM));
+        return ZOUT;
+    end function "+";
+
+    function "+" ( L: in REAL;  R: in COMPLEX_POLAR) return COMPLEX_POLAR is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        a) Returns COMPLEX_POLAR'(0.0, 0.0) on error
+        variable ZR : COMPLEX;
+        variable ZOUT : COMPLEX_POLAR;
+    begin
+        -- Check validity of input arguments
+        if ( R.ARG = -MATH_PI ) then
+                assert FALSE
+                            report "R.ARG = -MATH_PI in +(L,R)"
+                            severity ERROR;
+                return COMPLEX_POLAR'(0.0, 0.0);
+        end if;
+
+        -- Get principal value
+        ZR := POLAR_TO_COMPLEX( R );
+        ZOUT := COMPLEX_TO_POLAR(COMPLEX'(L + ZR.RE, ZR.IM));
+        return ZOUT;
+    end function "+";
+
+    function "+" ( L: in COMPLEX_POLAR;  R: in REAL) return COMPLEX_POLAR is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        a) Returns COMPLEX_POLAR'(0.0, 0.0) on error
+        --
+        variable ZL : COMPLEX;
+        variable ZOUT : COMPLEX_POLAR;
+    begin
+        -- Check validity of input arguments
+        if ( L.ARG = -MATH_PI ) then
+                assert FALSE
+                            report "L.ARG = -MATH_PI in +(L,R)"
+                            severity ERROR;
+                return COMPLEX_POLAR'(0.0, 0.0);
+        end if;
+
+        -- Get principal value
+        ZL := POLAR_TO_COMPLEX( L );
+        ZOUT := COMPLEX_TO_POLAR(COMPLEX'(ZL.RE + R, ZL.IM));
+        return ZOUT;
+    end function "+";
+
+    function "-" ( L: in COMPLEX;  R: in COMPLEX ) return COMPLEX is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        None
+    begin
+        return COMPLEX'(L.RE - R.RE, L.IM - R.IM);
+    end function "-";
+
+    function "-" ( L: in REAL;     R: in COMPLEX ) return COMPLEX is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        None
+    begin
+        return COMPLEX'(L - R.RE, -1.0 * R.IM);
+    end function "-";
+
+    function "-" ( L: in COMPLEX;  R: in REAL )    return COMPLEX is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        None
+    begin
+        return COMPLEX'(L.RE - R, L.IM);
+    end function "-";
+
+    function "-" ( L: in COMPLEX_POLAR; R: in COMPLEX_POLAR)
+                                                        return COMPLEX_POLAR is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        a) Returns COMPLEX_POLAR'(0.0, 0.0) on error
+        --
+        variable ZL, ZR : COMPLEX;
+        variable ZOUT : COMPLEX_POLAR;
+    begin
+        -- Check validity of input arguments
+        if ( L.ARG = -MATH_PI ) then
+                assert FALSE
+                            report "L.ARG = -MATH_PI in -(L,R)"
+                            severity ERROR;
+                return COMPLEX_POLAR'(0.0, 0.0);
+        end if;
+
+        if ( R.ARG = -MATH_PI ) then
+                assert FALSE
+                            report "R.ARG = -MATH_PI in -(L,R)"
+                            severity ERROR;
+                return COMPLEX_POLAR'(0.0, 0.0);
+        end if;
+        -- Get principal value
+        ZL := POLAR_TO_COMPLEX( L );
+        ZR := POLAR_TO_COMPLEX( R );
+        ZOUT := COMPLEX_TO_POLAR(COMPLEX'(ZL.RE - ZR.RE, ZL.IM -ZR.IM));
+        return ZOUT;
+    end function "-";
+
+    function "-" ( L: in REAL;  R: in COMPLEX_POLAR) return COMPLEX_POLAR is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        a) Returns COMPLEX_POLAR'(0.0, 0.0) on error
+        --
+        variable ZR : COMPLEX;
+        variable ZOUT : COMPLEX_POLAR;
+    begin
+        -- Check validity of input arguments
+        if ( R.ARG = -MATH_PI ) then
+                assert FALSE
+                            report "R.ARG = -MATH_PI in -(L,R)"
+                            severity ERROR;
+                return COMPLEX_POLAR'(0.0, 0.0);
+        end if;
+
+        -- Get principal value
+        ZR := POLAR_TO_COMPLEX( R );
+        ZOUT := COMPLEX_TO_POLAR(COMPLEX'(L - ZR.RE, -1.0*ZR.IM));
+        return ZOUT;
+    end function "-";
+
+    function "-" ( L: in COMPLEX_POLAR;  R: in REAL) return COMPLEX_POLAR is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        a) Returns COMPLEX_POLAR'(0.0, 0.0) on error
+        --
+        variable ZL : COMPLEX;
+        variable ZOUT : COMPLEX_POLAR;
+    begin
+        -- Check validity of input arguments
+        if ( L.ARG = -MATH_PI ) then
+                assert FALSE
+                            report "L.ARG = -MATH_PI in -(L,R)"
+                            severity ERROR;
+                return COMPLEX_POLAR'(0.0, 0.0);
+        end if;
+
+        -- Get principal value
+        ZL := POLAR_TO_COMPLEX( L );
+        ZOUT := COMPLEX_TO_POLAR(COMPLEX'(ZL.RE - R, ZL.IM));
+        return ZOUT;
+    end function "-";
+
+
+    function "*" ( L: in COMPLEX;  R: in COMPLEX ) return COMPLEX is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        None
+    begin
+        return COMPLEX'(L.RE * R.RE - L.IM * R.IM, L.RE * R.IM + L.IM * R.RE);
+    end function "*";
+
+
+    function "*" ( L: in REAL;  R: in COMPLEX ) return COMPLEX is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        None
+    begin
+        return COMPLEX'(L * R.RE, L * R.IM);
+    end function "*";
+
+    function "*" ( L: in COMPLEX;  R: in REAL )    return COMPLEX is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        None
+    begin
+        return COMPLEX'(L.RE * R, L.IM * R);
+    end function "*";
+
+    function "*" ( L: in COMPLEX_POLAR; R: in COMPLEX_POLAR)
+                                                        return COMPLEX_POLAR is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        a) Returns COMPLEX_POLAR'(0.0, 0.0) on error
+        --
+        variable ZOUT : COMPLEX_POLAR;
+    begin
+        -- Check validity of input arguments
+        if ( L.ARG = -MATH_PI ) then
+                assert FALSE
+                            report "L.ARG = -MATH_PI in *(L,R)"
+                            severity ERROR;
+                return COMPLEX_POLAR'(0.0, 0.0);
+        end if;
+
+        if ( R.ARG = -MATH_PI ) then
+                assert FALSE
+                            report "R.ARG = -MATH_PI in *(L,R)"
+                            severity ERROR;
+                return COMPLEX_POLAR'(0.0, 0.0);
+        end if;
+
+        -- Get principal value
+        ZOUT.MAG := L.MAG * R.MAG;
+        ZOUT.ARG := GET_PRINCIPAL_VALUE(L.ARG + R.ARG);
+
+        return ZOUT;
+    end function "*";
+
+    function "*" ( L: in REAL;  R: in COMPLEX_POLAR) return COMPLEX_POLAR is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        a) Returns COMPLEX_POLAR'(0.0, 0.0) on error
+        --
+            variable ZL : COMPLEX_POLAR;
+        variable ZOUT : COMPLEX_POLAR;
+    begin
+        -- Check validity of input arguments
+        if ( R.ARG = -MATH_PI ) then
+                assert FALSE
+                            report "R.ARG = -MATH_PI in *(L,R)"
+                            severity ERROR;
+                return COMPLEX_POLAR'(0.0, 0.0);
+        end if;
+
+        -- Get principal value
+        ZL.MAG := POSITIVE_REAL'(ABS(L));
+        if ( L < 0.0 ) then
+                ZL.ARG := MATH_PI;
+        else
+                ZL.ARG := 0.0;
+        end if;
+
+        ZOUT.MAG := ZL.MAG * R.MAG;
+        ZOUT.ARG := GET_PRINCIPAL_VALUE(ZL.ARG + R.ARG);
+
+        return ZOUT;
+    end function "*";
+
+    function "*" ( L: in COMPLEX_POLAR;  R: in REAL) return COMPLEX_POLAR is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        a) Returns COMPLEX_POLAR'(0.0, 0.0) on error
+        --
+        variable ZR : COMPLEX_POLAR;
+        variable ZOUT : COMPLEX_POLAR;
+    begin
+        -- Check validity of input arguments
+        if ( L.ARG = -MATH_PI ) then
+                assert FALSE
+                            report "L.ARG = -MATH_PI in *(L,R)"
+                            severity ERROR;
+                return COMPLEX_POLAR'(0.0, 0.0);
+        end if;
+
+        -- Get principal value
+        ZR.MAG := POSITIVE_REAL'(ABS(R));
+        if ( R < 0.0 ) then
+                ZR.ARG := MATH_PI;
+        else
+                ZR.ARG := 0.0;
+        end if;
+
+        ZOUT.MAG := L.MAG * ZR.MAG;
+        ZOUT.ARG := GET_PRINCIPAL_VALUE(L.ARG + ZR.ARG);
+
+        return ZOUT;
+    end function "*";
+
+   function "/" ( L: in COMPLEX;  R: in COMPLEX ) return COMPLEX is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        a) Returns COMPLEX'(REAL'HIGH, 0.0) on error
+        --
+        variable TEMP : REAL := R.RE*R.RE + R.IM*R.IM;
+   begin
+        -- Check validity of input arguments
+        if (TEMP = 0.0) then
+                 assert FALSE
+                        report "Attempt to divide COMPLEX by (0.0, 0.0)"
+                        severity ERROR;
+                 return COMPLEX'(REAL'HIGH, 0.0);
+        end if;
+
+        -- Get value
+        return COMPLEX'( (L.RE * R.RE + L.IM * R.IM) / TEMP,
+                         (L.IM * R.RE - L.RE * R.IM) / TEMP);
+    end function "/";
+
+   function "/" ( L: in REAL;  R: in COMPLEX ) return COMPLEX is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        a) Returns COMPLEX'(REAL'HIGH, 0.0) on error
+        --
+        variable TEMP : REAL := R.RE*R.RE + R.IM*R.IM;
+    begin
+        -- Check validity of input arguments
+        if (TEMP = 0.0) then
+                 assert FALSE
+                        report "Attempt to divide COMPLEX by (0.0, 0.0)"
+                        severity ERROR;
+                 return COMPLEX'(REAL'HIGH, 0.0);
+        end if;
+
+        -- Get value
+        TEMP := L / TEMP;
+        return  COMPLEX'( TEMP * R.RE, -TEMP * R.IM );
+    end function "/";
+
+    function "/" ( L: in COMPLEX;  R: in REAL )    return COMPLEX is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        a) Returns COMPLEX'(REAL'HIGH, 0.0) on error
+    begin
+        -- Check validity of input arguments
+        if (R = 0.0) then
+                 assert FALSE
+                        report "Attempt to divide COMPLEX by 0.0"
+                        severity ERROR;
+                 return COMPLEX'(REAL'HIGH, 0.0);
+        end if;
+
+        -- Get value
+        return COMPLEX'(L.RE / R, L.IM / R);
+    end function "/";
+
+
+    function "/" ( L: in COMPLEX_POLAR; R: in COMPLEX_POLAR)
+                                                        return COMPLEX_POLAR is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        a) Returns COMPLEX_POLAR'(REAL'HIGH, 0.0) on error
+        --
+        variable ZOUT : COMPLEX_POLAR;
+    begin
+        -- Check validity of input arguments
+        if (R.MAG = 0.0) then
+                assert FALSE
+                        report "Attempt to divide COMPLEX_POLAR by (0.0, 0.0)"
+                        severity ERROR;
+                return COMPLEX_POLAR'(REAL'HIGH, 0.0);
+        end if;
+
+        if ( L.ARG = -MATH_PI ) then
+                assert FALSE
+                        report "L.ARG = -MATH_PI in /(L,R)"
+                        severity ERROR;
+                return COMPLEX_POLAR'(REAL'HIGH, 0.0);
+        end if;
+
+        if ( R.ARG = -MATH_PI ) then
+                assert FALSE
+                        report "R.ARG = -MATH_PI in /(L,R)"
+                        severity ERROR;
+                return COMPLEX_POLAR'(0.0, 0.0);
+        end if;
+
+        -- Get principal value
+        ZOUT.MAG := L.MAG/R.MAG;
+        ZOUT.ARG := GET_PRINCIPAL_VALUE(L.ARG - R.ARG);
+
+        return ZOUT;
+    end function "/";
+
+    function "/" ( L: in COMPLEX_POLAR;  R: in REAL) return COMPLEX_POLAR is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        a) Returns COMPLEX_POLAR'(REAL'HIGH, 0.0) on error
+        --
+        variable ZR : COMPLEX_POLAR;
+        variable ZOUT : COMPLEX_POLAR;
+    begin
+        -- Check validity of input arguments
+        if (R = 0.0) then
+                assert FALSE
+                        report "Attempt to divide COMPLEX_POLAR by 0.0"
+                        severity ERROR;
+                return COMPLEX_POLAR'(REAL'HIGH, 0.0);
+        end if;
+
+        if ( L.ARG = -MATH_PI ) then
+                assert FALSE
+                        report "L.ARG = -MATH_PI in /(L,R)"
+                        severity ERROR;
+                return COMPLEX_POLAR'(REAL'HIGH, 0.0);
+        end if;
+
+        -- Get principal value
+        ZR.MAG := POSITIVE_REAL'(ABS(R));
+        if R < 0.0 then
+                ZR.ARG := MATH_PI;
+        else
+                ZR.ARG := 0.0;
+        end if;
+
+        ZOUT.MAG := L.MAG/ZR.MAG;
+        ZOUT.ARG := GET_PRINCIPAL_VALUE(L.ARG - ZR.ARG);
+
+        return ZOUT;
+    end function "/";
+
+    function "/" ( L: in REAL;  R: in COMPLEX_POLAR) return COMPLEX_POLAR is
+        -- Description:
+        --        See function declaration in IEEE Std 1076.2-1996
+        -- Notes:
+        --        a) Returns COMPLEX_POLAR'(REAL'HIGH, 0.0) on error
+        --
+        variable ZL : COMPLEX_POLAR;
+        variable ZOUT : COMPLEX_POLAR;
+    begin
+        -- Check validity of input arguments
+        if (R.MAG = 0.0) then
+                assert FALSE
+                        report "Attempt to divide COMPLEX_POLAR by (0.0, 0.0)"
+                        severity ERROR;
+                return COMPLEX_POLAR'(REAL'HIGH, 0.0);
+        end if;
+
+        if ( R.ARG = -MATH_PI ) then
+                assert FALSE
+                        report "R.ARG = -MATH_P in /(L,R)"
+                        severity ERROR;
+                return COMPLEX_POLAR'(0.0, 0.0);
+        end if;
+
+        -- Get principal value
+        ZL.MAG := POSITIVE_REAL'(ABS(L));
+        if L < 0.0 then
+                ZL.ARG := MATH_PI;
+        else
+                ZL.ARG := 0.0;
+        end if;
+
+        ZOUT.MAG := ZL.MAG/R.MAG;
+        ZOUT.ARG := GET_PRINCIPAL_VALUE(ZL.ARG - R.ARG);
+
+        return ZOUT;
+    end function "/";
+
+end package body MATH_COMPLEX;