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| Residu_t | residu () const |
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| Residu_t | residu () const |
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| Residu_t | size () const |
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| Residu_t | size () const |
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| Residu_t | cardinality () const |
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| T & | cardinality (T &c) const |
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| Residu_t | cardinality () const |
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| T & | cardinality (T &c) const |
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| Residu_t | characteristic () const |
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| T & | characteristic (T &c) const |
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| Residu_t | characteristic () const |
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| T & | characteristic (T &c) const |
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| bool | operator== (const Self_t &F) const |
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| bool | operator== (const Self_t &F) const |
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| bool | operator!= (const Self_t &F) const |
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| bool | operator!= (const Self_t &F) const |
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| bool | isZero (const Element &a) const |
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| bool | isZero (const Element &a) const |
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| virtual bool | isZero (const Element &a) const=0 |
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| bool | isOne (const Element &a) const |
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| bool | isOne (const Element &a) const |
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| virtual bool | isOne (const Element &a) const=0 |
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| bool | isMOne (const Element &a) const |
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| bool | isMOne (const Element &a) const |
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| virtual bool | isMOne (const Element &a) const=0 |
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| bool | isUnit (const Element &a) const |
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| bool | isUnit (const Element &a) const |
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| virtual bool | isUnit (const Element &a) const=0 |
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| Element & | abs (Element &x, const Element &a) const |
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| Element | abs (const Element &a) const |
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| Element & | abs (Element &x, const Element &a) const |
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| Element | abs (const Element &a) const |
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| long | compare (const Element &a, const Element &b) const |
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| long | compare (const Element &a, const Element &b) const |
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| Element & | init (Element &x) const |
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| Element & | init (Element &x, const T &s) const |
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| Element & | init (Element &x) const |
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| Element & | init (Element &x, const T &s) const |
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| virtual Element & | init (Element &r) const =0 |
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| Element & | assign (Element &x, const Element &y) const |
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| Element & | assign (Element &x, const Element &y) const |
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| virtual Element & | assign (Element &r, const Element &a) const =0 |
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| T & | convert (T &x, const Element &y) const |
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| T & | convert (T &x, const Element &y) const |
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| Element & | reduce (Element &x, const Element &y) const |
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| Element & | reduce (Element &x) const |
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| Element & | reduce (Element &x, const Element &y) const |
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| Element & | reduce (Element &x) const |
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| Element | minElement () const |
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| Element | minElement () const |
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| Element | maxElement () const |
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| Element | maxElement () const |
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| Element & | random (const Random &g, Element &r) const |
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| Element & | random (const Random &g, Element &r) const |
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| Element & | nonzerorandom (Random &g, Element &a) const |
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| Element & | nonzerorandom (Random &g, Element &a) const |
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| std::ostream & | write (std::ostream &os) const |
| | Print field.
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| std::ostream & | write (std::ostream &os, const Element &a) const |
| | Print field element.
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| std::ostream & | write (std::ostream &os) const |
| | Print field.
|
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| std::ostream & | write (std::ostream &os, const Element &a) const |
| | Print field element.
|
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| virtual std::ostream & | write (std::ostream &s, const Element &a) const =0 |
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| std::istream & | read (std::istream &is, Element &a) const |
| | Read field element.
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| std::istream & | read (std::istream &is, Element &a) const |
| | Read field element.
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| virtual std::istream & | read (std::istream &s, Element &a) const =0 |
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| virtual bool | areEqual (const Element &a, const Element &b) const =0 |
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| virtual Element & | add (Element &r, const Element &a, const Element &b) const =0 |
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| virtual Element & | sub (Element &r, const Element &a, const Element &b) const =0 |
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| virtual Element & | mul (Element &r, const Element &a, const Element &b) const =0 |
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| virtual Element & | neg (Element &r, const Element &a) const =0 |
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| virtual Element & | axpy (Element &r, const Element &a, const Element &x, const Element &y) const =0 |
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| virtual Element & | axpyin (Element &r, const Element &a, const Element &x) const =0 |
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| virtual Element & | axmy (Element &r, const Element &a, const Element &x, const Element &y) const =0 |
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| virtual Element & | axmyin (Element &r, const Element &a, const Element &x) const =0 |
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| virtual Element & | maxpy (Element &r, const Element &a, const Element &x, const Element &y) const =0 |
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| virtual Element & | maxpyin (Element &r, const Element &a, const Element &x) const =0 |
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| virtual Element & | addin (Element &r, const Element &a) const =0 |
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| virtual Element & | subin (Element &r, const Element &a) const =0 |
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| virtual Element & | mulin (Element &r, const Element &a) const =0 |
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| virtual Element & | negin (Element &r) const =0 |
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| std::ostream & | write (std::ostream &os, std::string F) const |
| | Read field.
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| std::istream & | read (std::istream &is) const |
| | Read field.
|
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| bool | areEqual (const Element &x, const Element &y) const |
| | x == y
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| bool | areEqual (const Element &x, const Element &y) const |
| | x == y
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The first argument is set and is also the return value.
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| Element & | add (Element &x, const Element &y, const Element &z) const |
| | x := y + z
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| Element & | add (Element &x, const Element &y, const Element &z) const |
| | x := y + z
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| Element & | sub (Element &x, const Element &y, const Element &z) const |
| | x := y - z
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| Element & | sub (Element &x, const Element &y, const Element &z) const |
| | x := y - z
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| Element & | mul (Element &x, const Element &y, const Element &z) const |
| | x := y*z
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| Element & | mul (Element &x, const Element &y, const Element &z) const |
| | x := y*z
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| Element & | div (Element &x, const Element &y, const Element &z) const |
| | x := y/z
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| Element & | div (Element &x, const Element &y, const Element &z) const |
| | x := y/z
|
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| Element & | mod (Element &x, const Element &y, const Element &z) const |
| | x := y mod z
|
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| Element & | mod (Element &x, const Element &y, const Element &z) const |
| | x := y mod z
|
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| Element & | neg (Element &x, const Element &y) const |
| | x := -y
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| Element & | neg (Element &x, const Element &y) const |
| | x := -y
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| Element & | inv (Element &x, const Element &y) const |
| | x := 1/y
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| Element & | inv (Element &x, const Element &y) const |
| | x := 1/y
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| Element & | axpy (Element &z, const Element &a, const Element &x, const Element &y) const |
| | z := a*x + y
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| Element & | axpy (Element &z, const Element &a, const Element &x, const Element &y) const |
| | z := a*x + y
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| Element & | axpyin (Element &z, const Element &a, const Element &x) const |
| | z := a*x + z
|
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| Element & | axpyin (Element &z, const Element &a, const Element &x) const |
| | z := a*x + z
|
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| Element & | axmy (Element &z, const Element &a, const Element &x, const Element &y) const |
| | z := a*x - y
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| Element & | axmy (Element &z, const Element &a, const Element &x, const Element &y) const |
| | z := a*x - y
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| Element & | axmyin (Element &z, const Element &a, const Element &x) const |
| | z := a*x - z
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| Element & | axmyin (Element &z, const Element &a, const Element &x) const |
| | z := a*x - z
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| Element & | maxpy (Element &z, const Element &a, const Element &x, const Element &y) const |
| | z := y - a*x
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| Element & | maxpy (Element &z, const Element &a, const Element &x, const Element &y) const |
| | z := y - a*x
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| Element & | maxpyin (Element &z, const Element &a, const Element &x) const |
| | z := z - a*x
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| Element & | maxpyin (Element &z, const Element &a, const Element &x) const |
| | z := z - a*x
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The first argument is modified and the result is the return value.
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| Element & | addin (Element &x, const Element &y) const |
| | x := x + y
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| Element & | addin (Element &x, const Element &y) const |
| | x := x + y
|
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| Element & | subin (Element &x, const Element &y) const |
| | x := x - y
|
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| Element & | subin (Element &x, const Element &y) const |
| | x := x - y
|
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| Element & | mulin (Element &x, const Element &y) const |
| | x := x*y
|
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| Element & | mulin (Element &x, const Element &y) const |
| | x := x*y
|
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| Element & | divin (Element &x, const Element &y) const |
| | x := x/y
|
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| Element & | divin (Element &x, const Element &y) const |
| | x := x/y
|
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| Element & | modin (Element &x, const Element &y) const |
| | x := x mod y
|
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| Element & | modin (Element &x, const Element &y) const |
| | x := x mod y
|
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| Element & | negin (Element &x) const |
| | x := -x
|
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| Element & | negin (Element &x) const |
| | x := -x
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| Element & | invin (Element &x) const |
| | x := 1/x
|
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| Element & | invin (Element &x) const |
| | x := 1/x
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