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+
+-- Copyright (C) 2002 Morgan Kaufmann Publishers, Inc
+
+-- This file is part of VESTs (Vhdl tESTs).
+
+-- VESTs is free software; you can redistribute it and/or modify it
+-- under the terms of the GNU General Public License as published by the
+-- Free Software Foundation; either version 2 of the License, or (at
+-- your option) any later version.
+
+-- VESTs is distributed in the hope that it will be useful, but WITHOUT
+-- ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+-- FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+-- for more details.
+
+-- You should have received a copy of the GNU General Public License
+-- along with VESTs; if not, write to the Free Software Foundation,
+-- Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
+
+library ieee; use ieee.math_real.all;
+
+package pwl_functions is
+
+ function pwl_dim1_extrap ( x : in real; xdata, ydata : in real_vector )
+ return real;
+
+ function interpolate (x,y2,y1,x2,x1 : in real)
+ return real;
+
+ function extrapolate (x,y2,y1,x2,x1 : in real)
+ return real;
+
+end package pwl_functions;
+
+
+package body pwl_functions is
+
+ -- code from book
+
+ function pwl_dim1_extrap ( x : in real; xdata, ydata : in real_vector )
+ return real is
+
+ variable xvalue, yvalue, m : real;
+ variable start, fin, mid: integer;
+
+ begin
+ if x <= xdata(0) then
+ yvalue := extrapolate ( x, ydata(1), ydata(0), xdata(1), xdata(0) );
+ return yvalue;
+ end if;
+
+ if x >= xdata(xdata'right) then
+ yvalue := extrapolate( x, ydata(ydata'right), ydata(ydata'right - 1),
+ xdata(xdata'right), xdata(xdata'right - 1) );
+ return yvalue;
+ end if;
+
+ start := 0;
+ fin := xdata'right;
+ while start <= fin loop
+ mid := (start + fin) / 2;
+ if xdata(mid) < x then
+ start := mid + 1;
+ else
+ fin := mid - 1;
+ end if;
+ end loop;
+ if xdata(mid) > x then
+ mid := mid - 1;
+ end if;
+ yvalue := interpolate( x, ydata(mid + 1), ydata(mid),
+ xdata(mid + 1), xdata(mid) );
+ return yvalue;
+ end function pwl_dim1_extrap;
+
+ -- end code from book
+
+ function interpolate (x,y2,y1,x2,x1 : in real)
+ return real is
+ variable m, yvalue : real;
+ begin
+ assert (x1 /= x2)
+ report "interpolate: x1 cannot be equal to x2"
+ severity error;
+ assert (x >= x1) and (x <= x2)
+ report "interpolate: x must be between x1 and x2, inclusively "
+ severity error;
+ m := (y2 - y1)/(x2 - x1);
+ yvalue := y1 + m*(x - x1);
+ return yvalue;
+ end function interpolate;
+
+ function extrapolate (x,y2,y1,x2,x1 : in real)
+ return real is
+ variable m, yvalue : real;
+ begin
+ assert (x1 /= x2)
+ report "extrapolate: x1 cannot be equal to x2"
+ severity error;
+ assert (x <= x1) or (x >= x2)
+ report "extrapolate: x is within x1, x2 bounds; interpolation will be performed"
+ severity warning;
+ m := (y2 - y1)/(x2 - x1);
+ yvalue := y1 + m*(x - x1);
+ return yvalue;
+ end function extrapolate;
+
+end package body pwl_functions;