package body Standard_Complex_Norms_Equals is
function Max_Norm ( v : Vector ) return double_float is
res : double_float := AbsVal(v(v'first));
begin
for i in v'first+1..v'last loop
declare
abstmp : double_float := AbsVal(v(i));
begin
if abstmp > res
then res := abstmp;
end if;
end;
end loop;
return res;
end Max_Norm;
function Sum_Norm ( v : Vector ) return double_float is
res : double_float := AbsVal(v(v'first));
begin
for i in v'first+1..v'last loop
res := res + AbsVal(v(i));
end loop;
return res;
end Sum_Norm;
function Max_Norm ( m : Matrix ) return double_float is
res : double_float := 0.0;
begin
for i in m'range(1) loop
for j in m'range(2) loop
declare
abstmp : double_float := AbsVal(m(i,j));
begin
if abstmp > res
then res := abstmp;
end if;
end;
end loop;
end loop;
return res;
end Max_Norm;
function Equal ( x,y : Complex_Number; tol : double_float ) return boolean is
dif : Complex_Number := x-y;
absdif : double_float := AbsVal(dif);
res : boolean := (absdif < tol);
begin
return res;
end Equal;
function Equal ( x,y : Vector; tol : double_float ) return boolean is
begin
for i in x'range loop
if not Equal(x(i),y(i),tol)
then return false;
end if;
end loop;
return true;
end Equal;
end Standard_Complex_Norms_Equals;