diff --git a/Algebraic_kernel_d/include/CGAL/RS/algebraic_1.h b/Algebraic_kernel_d/include/CGAL/RS/algebraic_1.h
index 04504ab87e5..6fa85138678 100644
--- a/Algebraic_kernel_d/include/CGAL/RS/algebraic_1.h
+++ b/Algebraic_kernel_d/include/CGAL/RS/algebraic_1.h
@@ -36,13 +36,14 @@ bool operator==(const Algebraic_1&,const Algebraic_1&);
 // representation of algebraic numbers
 class Algebraic_1_rep{
 public:
-        mutable mpfi_t _mpfi;
-        RS_polynomial_1 *_poly;
-        int _nr;
-        int _mult;
-        mutable Sign _lefteval;
+        mutable mpfi_t interval;
+        RS_polynomial_1 *polynomial;
+        int numroot;
+        int multiplicity;
+        mutable Sign lefteval;
 
-        Algebraic_1_rep():_poly(NULL),_nr(-1),_mult(-1),_lefteval(ZERO){}
+        Algebraic_1_rep():
+                polynomial(NULL),numroot(-1),multiplicity(-1),lefteval(ZERO){}
         ~Algebraic_1_rep(){}
 
 private:
diff --git a/Algebraic_kernel_d/include/CGAL/RS/algebraic_1_member.h b/Algebraic_kernel_d/include/CGAL/RS/algebraic_1_member.h
index 2ffaaef22ad..1ca45dde492 100644
--- a/Algebraic_kernel_d/include/CGAL/RS/algebraic_1_member.h
+++ b/Algebraic_kernel_d/include/CGAL/RS/algebraic_1_member.h
@@ -26,17 +26,17 @@ namespace CGAL{
 
 inline
 mpfi_srcptr Algebraic_1::mpfi()const{
-        return Ptr()->_mpfi;
+        return Ptr()->interval;
 }
 
 inline
 mpfi_ptr Algebraic_1::mpfi(){
-        return ptr()->_mpfi;
+        return ptr()->interval;
 }
 
 inline
 Gmpfi Algebraic_1::interval()const{
-        return Gmpfi(Ptr()->_mpfi);
+        return Gmpfi(Ptr()->interval);
 }
 
 inline
@@ -51,17 +51,17 @@ Gmpfr Algebraic_1::sup()const{
 
 inline
 const RS_polynomial_1& Algebraic_1::pol()const{
-        return *(Ptr()->_poly);
+        return *(Ptr()->polynomial);
 }
 
 inline
 int Algebraic_1::nr()const{
-        return ptr()->_nr;
+        return ptr()->numroot;
 }
 
 inline
 int Algebraic_1::mult()const{
-        return ptr()->_mult;
+        return ptr()->multiplicity;
 }
 
 inline
@@ -73,22 +73,22 @@ void Algebraic_1::set_mpfi_ptr(mpfi_srcptr x){
 
 inline
 void Algebraic_1::clear_pol(){
-        ptr()->_poly=NULL;
+        ptr()->polynomial=NULL;
 }
 
 inline
 void Algebraic_1::set_pol(const RS_polynomial_1 &p){
-        ptr()->_poly=const_cast<RS_polynomial_1*>(&p);
+        ptr()->polynomial=const_cast<RS_polynomial_1*>(&p);
 }
 
 inline
 void Algebraic_1::set_nr(int n){
-        ptr()->_nr=n;
+        ptr()->numroot=n;
 }
 
 inline
 void Algebraic_1::set_mult(int m){
-        ptr()->_mult=m;
+        ptr()->multiplicity=m;
 }
 
 inline
@@ -98,7 +98,7 @@ void Algebraic_1::set_prec(mp_prec_t p){
 
 inline
 void Algebraic_1::set_lefteval(Sign s)const{
-        Ptr()->_lefteval=s;
+        Ptr()->lefteval=s;
 }
 
 inline
@@ -118,7 +118,7 @@ mpfr_srcptr Algebraic_1::right()const{
 
 inline
 Sign Algebraic_1::lefteval()const{
-        return ptr()->_lefteval;
+        return ptr()->lefteval;
 }
 
 inline