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Disambiguate binary operators of CLN types with float/double 

* include/cln/dfloat.h: Add binary operator overloads for arguments of
	type double.
	* include/cln/ffloat.h: Likewise, for arguments of type float.
	* include/cln/float.h: Likewise, both for arguments of types double and
	float.
	* include/cln/real.h: Likewise.
	Reported by Isidro Cachadia Gutirrez <icacha@unex.es>.
----------------------------------------------------------------------
include/cln/dfloat.h include/cln/ffloat.h CVS: include/cln/float.h
include/cln/real.h CVS:
----------------------------------------------------------------------
master
Richard Kreckel 20 years ago
parent
2691282fd9
commit
1f0efb29d4
5 changed files with 144 additions and 1 deletions
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  1. 11
      ChangeLog
  2. 24
      include/cln/dfloat.h
  3. 24
      include/cln/ffloat.h
  4. 40
      include/cln/float.h
  5. 46
      include/cln/real.h

11
ChangeLog
View File

@ -1,3 +1,14 @@
2004-11-28 Richard B. Kreckel <kreckel@ginac.de>
Disambiguate binary operators of CLN types with float/double
* include/cln/dfloat.h: Add binary operator overloads for arguments of
type double.
* include/cln/ffloat.h: Likewise, for arguments of type float.
* include/cln/float.h: Likewise, both for arguments of types double and
float.
* include/cln/real.h: Likewise.
Reported by Isidro Cachadiña Gutiérrez <icacha@unex.es>.
2004-11-03 Richard B. Kreckel <kreckel@ginac.de> 2004-11-03 Richard B. Kreckel <kreckel@ginac.de>
* Version 1.1.9 released. * Version 1.1.9 released.

24
include/cln/dfloat.h
View File

@ -47,18 +47,38 @@ extern cl_boolean plusp (const cl_DF& x);
// Liefert zu zwei Double-Float x und y : (+ x y), ein DF. // Liefert zu zwei Double-Float x und y : (+ x y), ein DF.
extern const cl_DF operator+ (const cl_DF& x, const cl_DF& y); extern const cl_DF operator+ (const cl_DF& x, const cl_DF& y);
// The C++ compiler may hesitate to do these conversions of its own:
inline const cl_DF operator+ (const cl_DF& x, const double y)
{ return x + cl_DF(y); }
inline const cl_DF operator+ (const double x, const cl_DF& y)
{ return cl_DF(x) + y; }
// Liefert zu zwei Double-Float x und y : (- x y), ein DF. // Liefert zu zwei Double-Float x und y : (- x y), ein DF.
extern const cl_DF operator- (const cl_DF& x, const cl_DF& y); extern const cl_DF operator- (const cl_DF& x, const cl_DF& y);
// The C++ compiler may hesitate to do these conversions of its own:
inline const cl_DF operator- (const cl_DF& x, const double y)
{ return x - cl_DF(y); }
inline const cl_DF operator- (const double x, const cl_DF& y)
{ return cl_DF(x) - y; }
// Liefert zu zwei Double-Float x und y : (* x y), ein DF. // Liefert zu zwei Double-Float x und y : (* x y), ein DF.
extern const cl_DF operator* (const cl_DF& x, const cl_DF& y); extern const cl_DF operator* (const cl_DF& x, const cl_DF& y);
// The C++ compiler may hesitate to do these conversions of its own:
inline const cl_DF operator* (const cl_DF& x, const double y)
{ return x * cl_DF(y); }
inline const cl_DF operator* (const double x, const cl_DF& y)
{ return cl_DF(x) * y; }
// Liefert zu einem Double-Float x : (* x x), ein DF. // Liefert zu einem Double-Float x : (* x x), ein DF.
inline const cl_DF square (const cl_DF& x) { return x*x; } inline const cl_DF square (const cl_DF& x) { return x*x; }
// Liefert zu zwei Double-Float x und y : (/ x y), ein DF. // Liefert zu zwei Double-Float x und y : (/ x y), ein DF.
extern const cl_DF operator/ (const cl_DF& x, const cl_DF& y); extern const cl_DF operator/ (const cl_DF& x, const cl_DF& y);
// The C++ compiler may hesitate to do these conversions of its own:
inline const cl_DF operator/ (const cl_DF& x, const double y)
{ return x / cl_DF(y); }
inline const cl_DF operator/ (const double x, const cl_DF& y)
{ return cl_DF(x) / y; }
// Liefert zu einem Double-Float x>=0 : (sqrt x), ein DF. // Liefert zu einem Double-Float x>=0 : (sqrt x), ein DF.
extern const cl_DF sqrt (const cl_DF& x); extern const cl_DF sqrt (const cl_DF& x);
@ -276,13 +296,17 @@ extern double double_approx (const cl_DF& x);
#ifdef WANT_OBFUSCATING_OPERATORS #ifdef WANT_OBFUSCATING_OPERATORS
// This could be optimized to use in-place operations. // This could be optimized to use in-place operations.
inline cl_DF& operator+= (cl_DF& x, const cl_DF& y) { return x = x + y; } inline cl_DF& operator+= (cl_DF& x, const cl_DF& y) { return x = x + y; }
inline cl_DF& operator+= (cl_DF& x, const double y) { return x = x + y; }
inline cl_DF& operator++ /* prefix */ (cl_DF& x) { return x = plus1(x); } inline cl_DF& operator++ /* prefix */ (cl_DF& x) { return x = plus1(x); }
inline void operator++ /* postfix */ (cl_DF& x, int dummy) { (void)dummy; x = plus1(x); } inline void operator++ /* postfix */ (cl_DF& x, int dummy) { (void)dummy; x = plus1(x); }
inline cl_DF& operator-= (cl_DF& x, const cl_DF& y) { return x = x - y; } inline cl_DF& operator-= (cl_DF& x, const cl_DF& y) { return x = x - y; }
inline cl_DF& operator-= (cl_DF& x, const double y) { return x = x - y; }
inline cl_DF& operator-- /* prefix */ (cl_DF& x) { return x = minus1(x); } inline cl_DF& operator-- /* prefix */ (cl_DF& x) { return x = minus1(x); }
inline void operator-- /* postfix */ (cl_DF& x, int dummy) { (void)dummy; x = minus1(x); } inline void operator-- /* postfix */ (cl_DF& x, int dummy) { (void)dummy; x = minus1(x); }
inline cl_DF& operator*= (cl_DF& x, const cl_DF& y) { return x = x * y; } inline cl_DF& operator*= (cl_DF& x, const cl_DF& y) { return x = x * y; }
inline cl_DF& operator*= (cl_DF& x, const double y) { return x = x * y; }
inline cl_DF& operator/= (cl_DF& x, const cl_DF& y) { return x = x / y; } inline cl_DF& operator/= (cl_DF& x, const cl_DF& y) { return x = x / y; }
inline cl_DF& operator/= (cl_DF& x, const double y) { return x = x / y; }
#endif #endif

24
include/cln/ffloat.h
View File

@ -47,18 +47,38 @@ extern cl_boolean plusp (const cl_FF& x);
// Liefert zu zwei Single-Float x und y : (+ x y), ein FF. // Liefert zu zwei Single-Float x und y : (+ x y), ein FF.
extern const cl_FF operator+ (const cl_FF& x, const cl_FF& y); extern const cl_FF operator+ (const cl_FF& x, const cl_FF& y);
// The C++ compiler may hesitate to do these conversions of its own:
inline const cl_FF operator+ (const cl_FF& x, const float y)
{ return x + cl_FF(y); }
inline const cl_FF operator+ (const float x, const cl_FF& y)
{ return cl_FF(x) + y; }
// Liefert zu zwei Single-Float x und y : (- x y), ein FF. // Liefert zu zwei Single-Float x und y : (- x y), ein FF.
extern const cl_FF operator- (const cl_FF& x, const cl_FF& y); extern const cl_FF operator- (const cl_FF& x, const cl_FF& y);
// The C++ compiler may hesitate to do these conversions of its own:
inline const cl_FF operator- (const cl_FF& x, const float y)
{ return x - cl_FF(y); }
inline const cl_FF operator- (const float x, const cl_FF& y)
{ return cl_FF(x) - y; }
// Liefert zu zwei Single-Float x und y : (* x y), ein FF. // Liefert zu zwei Single-Float x und y : (* x y), ein FF.
extern const cl_FF operator* (const cl_FF& x, const cl_FF& y); extern const cl_FF operator* (const cl_FF& x, const cl_FF& y);
// The C++ compiler may hesitate to do these conversions of its own:
inline const cl_FF operator* (const cl_FF& x, const float y)
{ return x * cl_FF(y); }
inline const cl_FF operator* (const float x, const cl_FF& y)
{ return cl_FF(x) * y; }
// Liefert zu einem Single-Float x : (* x x), ein FF. // Liefert zu einem Single-Float x : (* x x), ein FF.
inline const cl_FF square (const cl_FF& x) { return x*x; } inline const cl_FF square (const cl_FF& x) { return x*x; }
// Liefert zu zwei Single-Float x und y : (/ x y), ein FF. // Liefert zu zwei Single-Float x und y : (/ x y), ein FF.
extern const cl_FF operator/ (const cl_FF& x, const cl_FF& y); extern const cl_FF operator/ (const cl_FF& x, const cl_FF& y);
// The C++ compiler may hesitate to do these conversions of its own:
inline const cl_FF operator/ (const cl_FF& x, const float y)
{ return x / cl_FF(y); }
inline const cl_FF operator/ (const float x, const cl_FF& y)
{ return cl_FF(x) / y; }
// Liefert zu einem Single-Float x>=0 : (sqrt x), ein FF. // Liefert zu einem Single-Float x>=0 : (sqrt x), ein FF.
extern const cl_FF sqrt (const cl_FF& x); extern const cl_FF sqrt (const cl_FF& x);
@ -276,13 +296,17 @@ extern double double_approx (const cl_FF& x);
#ifdef WANT_OBFUSCATING_OPERATORS #ifdef WANT_OBFUSCATING_OPERATORS
// This could be optimized to use in-place operations. // This could be optimized to use in-place operations.
inline cl_FF& operator+= (cl_FF& x, const cl_FF& y) { return x = x + y; } inline cl_FF& operator+= (cl_FF& x, const cl_FF& y) { return x = x + y; }
inline cl_FF& operator+= (cl_FF& x, const float y) { return x = x + y; }
inline cl_FF& operator++ /* prefix */ (cl_FF& x) { return x = plus1(x); } inline cl_FF& operator++ /* prefix */ (cl_FF& x) { return x = plus1(x); }
inline void operator++ /* postfix */ (cl_FF& x, int dummy) { (void)dummy; x = plus1(x); } inline void operator++ /* postfix */ (cl_FF& x, int dummy) { (void)dummy; x = plus1(x); }
inline cl_FF& operator-= (cl_FF& x, const cl_FF& y) { return x = x - y; } inline cl_FF& operator-= (cl_FF& x, const cl_FF& y) { return x = x - y; }
inline cl_FF& operator-= (cl_FF& x, const float y) { return x = x - y; }
inline cl_FF& operator-- /* prefix */ (cl_FF& x) { return x = minus1(x); } inline cl_FF& operator-- /* prefix */ (cl_FF& x) { return x = minus1(x); }
inline void operator-- /* postfix */ (cl_FF& x, int dummy) { (void)dummy; x = minus1(x); } inline void operator-- /* postfix */ (cl_FF& x, int dummy) { (void)dummy; x = minus1(x); }
inline cl_FF& operator*= (cl_FF& x, const cl_FF& y) { return x = x * y; } inline cl_FF& operator*= (cl_FF& x, const cl_FF& y) { return x = x * y; }
inline cl_FF& operator*= (cl_FF& x, const float y) { return x = x * y; }
inline cl_FF& operator/= (cl_FF& x, const cl_FF& y) { return x = x / y; } inline cl_FF& operator/= (cl_FF& x, const cl_FF& y) { return x = x / y; }
inline cl_FF& operator/= (cl_FF& x, const float y) { return x = x / y; }
#endif #endif

40
include/cln/float.h
View File

@ -172,6 +172,10 @@ inline const cl_F operator+ (const long x, const cl_F& y)
{ return cl_I(x) + y; } { return cl_I(x) + y; }
inline const cl_F operator+ (const unsigned long x, const cl_F& y) inline const cl_F operator+ (const unsigned long x, const cl_F& y)
{ return cl_I(x) + y; } { return cl_I(x) + y; }
inline const cl_F operator+ (const float x, const cl_F& y)
{ return cl_F(x) + y; }
inline const cl_F operator+ (const double x, const cl_F& y)
{ return cl_F(x) + y; }
inline const cl_F operator+ (const cl_F& x, const int y) inline const cl_F operator+ (const cl_F& x, const int y)
{ return x + cl_I(y); } { return x + cl_I(y); }
inline const cl_F operator+ (const cl_F& x, const unsigned int y) inline const cl_F operator+ (const cl_F& x, const unsigned int y)
@ -180,6 +184,10 @@ inline const cl_F operator+ (const cl_F& x, const long y)
{ return x + cl_I(y); } { return x + cl_I(y); }
inline const cl_F operator+ (const cl_F& x, const unsigned long y) inline const cl_F operator+ (const cl_F& x, const unsigned long y)
{ return x + cl_I(y); } { return x + cl_I(y); }
inline const cl_F operator+ (const cl_F& x, const float y)
{ return x + cl_F(y); }
inline const cl_F operator+ (const cl_F& x, const double y)
{ return x + cl_F(y); }
// Liefert (- x y), wo x und y Floats sind. // Liefert (- x y), wo x und y Floats sind.
extern const cl_F operator- (const cl_F& x, const cl_F& y); extern const cl_F operator- (const cl_F& x, const cl_F& y);
@ -201,6 +209,10 @@ inline const cl_F operator- (const long x, const cl_F& y)
{ return cl_I(x) - y; } { return cl_I(x) - y; }
inline const cl_F operator- (const unsigned long x, const cl_F& y) inline const cl_F operator- (const unsigned long x, const cl_F& y)
{ return cl_I(x) - y; } { return cl_I(x) - y; }
inline const cl_F operator- (const float x, const cl_F& y)
{ return cl_F(x) - y; }
inline const cl_F operator- (const double x, const cl_F& y)
{ return cl_F(x) - y; }
inline const cl_F operator- (const cl_F& x, const int y) inline const cl_F operator- (const cl_F& x, const int y)
{ return x - cl_I(y); } { return x - cl_I(y); }
inline const cl_F operator- (const cl_F& x, const unsigned int y) inline const cl_F operator- (const cl_F& x, const unsigned int y)
@ -209,6 +221,10 @@ inline const cl_F operator- (const cl_F& x, const long y)
{ return x - cl_I(y); } { return x - cl_I(y); }
inline const cl_F operator- (const cl_F& x, const unsigned long y) inline const cl_F operator- (const cl_F& x, const unsigned long y)
{ return x - cl_I(y); } { return x - cl_I(y); }
inline const cl_F operator- (const cl_F& x, const float y)
{ return x - cl_F(y); }
inline const cl_F operator- (const cl_F& x, const double y)
{ return x - cl_F(y); }
// Liefert (* x y), wo x und y Floats sind. // Liefert (* x y), wo x und y Floats sind.
extern const cl_F operator* (const cl_F& x, const cl_F& y); extern const cl_F operator* (const cl_F& x, const cl_F& y);
@ -242,6 +258,10 @@ inline const cl_R operator* (const long x, const cl_F& y)
{ return cl_I(x) * y; } { return cl_I(x) * y; }
inline const cl_R operator* (const unsigned long x, const cl_F& y) inline const cl_R operator* (const unsigned long x, const cl_F& y)
{ return cl_I(x) * y; } { return cl_I(x) * y; }
inline const cl_F operator* (const float x, const cl_F& y)
{ return cl_F(x) * y; }
inline const cl_F operator* (const double x, const cl_F& y)
{ return cl_F(x) * y; }
inline const cl_R operator* (const cl_F& x, const int y) inline const cl_R operator* (const cl_F& x, const int y)
{ return x * cl_I(y); } { return x * cl_I(y); }
inline const cl_R operator* (const cl_F& x, const unsigned int y) inline const cl_R operator* (const cl_F& x, const unsigned int y)
@ -250,6 +270,10 @@ inline const cl_R operator* (const cl_F& x, const long y)
{ return x * cl_I(y); } { return x * cl_I(y); }
inline const cl_R operator* (const cl_F& x, const unsigned long y) inline const cl_R operator* (const cl_F& x, const unsigned long y)
{ return x * cl_I(y); } { return x * cl_I(y); }
inline const cl_F operator* (const cl_F& x, const float y)
{ return x * cl_F(y); }
inline const cl_F operator* (const cl_F& x, const double y)
{ return x * cl_F(y); }
// Liefert (* x x), wo x ein Float ist. // Liefert (* x x), wo x ein Float ist.
extern const cl_F square (const cl_F& x); extern const cl_F square (const cl_F& x);
@ -270,6 +294,10 @@ inline const cl_F operator/ (const cl_F& x, const long y)
{ return x / cl_I(y); } { return x / cl_I(y); }
inline const cl_F operator/ (const cl_F& x, const unsigned long y) inline const cl_F operator/ (const cl_F& x, const unsigned long y)
{ return x / cl_I(y); } { return x / cl_I(y); }
inline const cl_F operator/ (const cl_F& x, const float y)
{ return x / cl_F(y); }
inline const cl_F operator/ (const cl_F& x, const double y)
{ return x / cl_F(y); }
inline const cl_R operator/ (const int x, const cl_F& y) inline const cl_R operator/ (const int x, const cl_F& y)
{ return cl_I(x) / y; } { return cl_I(x) / y; }
inline const cl_R operator/ (const unsigned int x, const cl_F& y) inline const cl_R operator/ (const unsigned int x, const cl_F& y)
@ -278,6 +306,10 @@ inline const cl_R operator/ (const long x, const cl_F& y)
{ return cl_I(x) / y; } { return cl_I(x) / y; }
inline const cl_R operator/ (const unsigned long x, const cl_F& y) inline const cl_R operator/ (const unsigned long x, const cl_F& y)
{ return cl_I(x) / y; } { return cl_I(x) / y; }
inline const cl_F operator/ (const float x, const cl_F& y)
{ return cl_F(x) / y; }
inline const cl_F operator/ (const double x, const cl_F& y)
{ return cl_F(x) / y; }
// Liefert (abs x), wo x ein Float ist. // Liefert (abs x), wo x ein Float ist.
extern const cl_F abs (const cl_F& x); extern const cl_F abs (const cl_F& x);
@ -636,13 +668,21 @@ inline const cl_F random_F (const cl_F& n)
#ifdef WANT_OBFUSCATING_OPERATORS #ifdef WANT_OBFUSCATING_OPERATORS
// This could be optimized to use in-place operations. // This could be optimized to use in-place operations.
inline cl_F& operator+= (cl_F& x, const cl_F& y) { return x = x + y; } inline cl_F& operator+= (cl_F& x, const cl_F& y) { return x = x + y; }
inline cl_F& operator+= (cl_F& x, const float y) { return x = x + y; }
inline cl_F& operator+= (cl_F& x, const double y) { return x = x + y; }
inline cl_F& operator++ /* prefix */ (cl_F& x) { return x = plus1(x); } inline cl_F& operator++ /* prefix */ (cl_F& x) { return x = plus1(x); }
inline void operator++ /* postfix */ (cl_F& x, int dummy) { (void)dummy; x = plus1(x); } inline void operator++ /* postfix */ (cl_F& x, int dummy) { (void)dummy; x = plus1(x); }
inline cl_F& operator-= (cl_F& x, const cl_F& y) { return x = x - y; } inline cl_F& operator-= (cl_F& x, const cl_F& y) { return x = x - y; }
inline cl_F& operator-= (cl_F& x, const float y) { return x = x - y; }
inline cl_F& operator-= (cl_F& x, const double y) { return x = x - y; }
inline cl_F& operator-- /* prefix */ (cl_F& x) { return x = minus1(x); } inline cl_F& operator-- /* prefix */ (cl_F& x) { return x = minus1(x); }
inline void operator-- /* postfix */ (cl_F& x, int dummy) { (void)dummy; x = minus1(x); } inline void operator-- /* postfix */ (cl_F& x, int dummy) { (void)dummy; x = minus1(x); }
inline cl_F& operator*= (cl_F& x, const cl_F& y) { return x = x * y; } inline cl_F& operator*= (cl_F& x, const cl_F& y) { return x = x * y; }
inline cl_F& operator*= (cl_F& x, const float y) { return x = x * y; }
inline cl_F& operator*= (cl_F& x, const double y) { return x = x * y; }
inline cl_F& operator/= (cl_F& x, const cl_F& y) { return x = x / y; } inline cl_F& operator/= (cl_F& x, const cl_F& y) { return x = x / y; }
inline cl_F& operator/= (cl_F& x, const float y) { return x = x / y; }
inline cl_F& operator/= (cl_F& x, const double y) { return x = x / y; }
#endif #endif

46
include/cln/real.h
View File

@ -84,6 +84,10 @@ inline const cl_R operator+ (const long x, const cl_R& y)
{ return cl_I(x) + y; } { return cl_I(x) + y; }
inline const cl_R operator+ (const unsigned long x, const cl_R& y) inline const cl_R operator+ (const unsigned long x, const cl_R& y)
{ return cl_I(x) + y; } { return cl_I(x) + y; }
inline const cl_F operator+ (const float x, const cl_R& y)
{ return The(cl_F)(cl_R(x) + y); }
inline const cl_F operator+ (const double x, const cl_R& y)
{ return The(cl_F)(cl_R(x) + y); }
inline const cl_R operator+ (const cl_R& x, const int y) inline const cl_R operator+ (const cl_R& x, const int y)
{ return x + cl_I(y); } { return x + cl_I(y); }
inline const cl_R operator+ (const cl_R& x, const unsigned int y) inline const cl_R operator+ (const cl_R& x, const unsigned int y)
@ -92,6 +96,10 @@ inline const cl_R operator+ (const cl_R& x, const long y)
{ return x + cl_I(y); } { return x + cl_I(y); }
inline const cl_R operator+ (const cl_R& x, const unsigned long y) inline const cl_R operator+ (const cl_R& x, const unsigned long y)
{ return x + cl_I(y); } { return x + cl_I(y); }
inline const cl_F operator+ (const cl_R& x, const float y)
{ return The(cl_F)(x + cl_R(y)); }
inline const cl_F operator+ (const cl_R& x, const double y)
{ return The(cl_F)(x + cl_R(y)); }
// Liefert (- x y), wo x und y reelle Zahlen sind. // Liefert (- x y), wo x und y reelle Zahlen sind.
extern const cl_R operator- (const cl_R& x, const cl_R& y); extern const cl_R operator- (const cl_R& x, const cl_R& y);
@ -109,6 +117,10 @@ inline const cl_R operator- (const long x, const cl_R& y)
{ return cl_I(x) - y; } { return cl_I(x) - y; }
inline const cl_R operator- (const unsigned long x, const cl_R& y) inline const cl_R operator- (const unsigned long x, const cl_R& y)
{ return cl_I(x) - y; } { return cl_I(x) - y; }
inline const cl_F operator- (const float x, const cl_R& y)
{ return The(cl_F)(cl_R(x) - y); }
inline const cl_F operator- (const double x, const cl_R& y)
{ return The(cl_F)(cl_R(x) - y); }
inline const cl_R operator- (const cl_R& x, const int y) inline const cl_R operator- (const cl_R& x, const int y)
{ return x - cl_I(y); } { return x - cl_I(y); }
inline const cl_R operator- (const cl_R& x, const unsigned int y) inline const cl_R operator- (const cl_R& x, const unsigned int y)
@ -117,6 +129,10 @@ inline const cl_R operator- (const cl_R& x, const long y)
{ return x - cl_I(y); } { return x - cl_I(y); }
inline const cl_R operator- (const cl_R& x, const unsigned long y) inline const cl_R operator- (const cl_R& x, const unsigned long y)
{ return x - cl_I(y); } { return x - cl_I(y); }
inline const cl_F operator- (const cl_R& x, const float y)
{ return The(cl_F)(x - cl_R(y)); }
inline const cl_F operator- (const cl_R& x, const double y)
{ return The(cl_F)(x - cl_R(y)); }
// Liefert (* x y), wo x und y reelle Zahlen sind. // Liefert (* x y), wo x und y reelle Zahlen sind.
extern const cl_R operator* (const cl_R& x, const cl_R& y); extern const cl_R operator* (const cl_R& x, const cl_R& y);
@ -129,6 +145,10 @@ inline const cl_R operator* (const long x, const cl_R& y)
{ return cl_I(x) * y; } { return cl_I(x) * y; }
inline const cl_R operator* (const unsigned long x, const cl_R& y) inline const cl_R operator* (const unsigned long x, const cl_R& y)
{ return cl_I(x) * y; } { return cl_I(x) * y; }
inline const cl_R operator* (const float x, const cl_R& y)
{ return cl_R(x) * y; }
inline const cl_R operator* (const double x, const cl_R& y)
{ return cl_R(x) * y; }
inline const cl_R operator* (const cl_R& x, const int y) inline const cl_R operator* (const cl_R& x, const int y)
{ return x * cl_I(y); } { return x * cl_I(y); }
inline const cl_R operator* (const cl_R& x, const unsigned int y) inline const cl_R operator* (const cl_R& x, const unsigned int y)
@ -137,13 +157,17 @@ inline const cl_R operator* (const cl_R& x, const long y)
{ return x * cl_I(y); } { return x * cl_I(y); }
inline const cl_R operator* (const cl_R& x, const unsigned long y) inline const cl_R operator* (const cl_R& x, const unsigned long y)
{ return x * cl_I(y); } { return x * cl_I(y); }
inline const cl_R operator* (const cl_R& x, const float y)
{ return x * cl_R(y); }
inline const cl_R operator* (const cl_R& x, const double y)
{ return x * cl_R(y); }
// Liefert (* x x), wo x eine reelle Zahl ist. // Liefert (* x x), wo x eine reelle Zahl ist.
extern const cl_R square (const cl_R& x); extern const cl_R square (const cl_R& x);
// Liefert (/ x y), wo x und y reelle Zahlen sind. // Liefert (/ x y), wo x und y reelle Zahlen sind.
extern const cl_R operator/ (const cl_R& x, const cl_R& y); extern const cl_R operator/ (const cl_R& x, const cl_R& y);
// Spezialfall: x oder y Float -> Ergebnis Float
// Spezialfall: x Float -> Ergebnis Float
inline const cl_F operator/ (const cl_F& x, const cl_R& y) inline const cl_F operator/ (const cl_F& x, const cl_R& y)
{ return The(cl_F)(The(cl_R)(x) / y); } { return The(cl_F)(The(cl_R)(x) / y); }
// Dem C++-Compiler muß man auch das Folgende sagen (wg. `int / cl_F' u.ä.): // Dem C++-Compiler muß man auch das Folgende sagen (wg. `int / cl_F' u.ä.):
@ -155,6 +179,10 @@ inline const cl_R operator/ (const long x, const cl_R& y)
{ return cl_I(x) / y; } { return cl_I(x) / y; }
inline const cl_R operator/ (const unsigned long x, const cl_R& y) inline const cl_R operator/ (const unsigned long x, const cl_R& y)
{ return cl_I(x) / y; } { return cl_I(x) / y; }
inline const cl_F operator/ (const float x, const cl_R& y)
{ return The(cl_F)(cl_R(x) / y); }
inline const cl_F operator/ (const double x, const cl_R& y)
{ return The(cl_F)(cl_R(x) / y); }
inline const cl_R operator/ (const cl_R& x, const int y) inline const cl_R operator/ (const cl_R& x, const int y)
{ return x / cl_I(y); } { return x / cl_I(y); }
inline const cl_R operator/ (const cl_R& x, const unsigned int y) inline const cl_R operator/ (const cl_R& x, const unsigned int y)
@ -163,6 +191,10 @@ inline const cl_R operator/ (const cl_R& x, const long y)
{ return x / cl_I(y); } { return x / cl_I(y); }
inline const cl_R operator/ (const cl_R& x, const unsigned long y) inline const cl_R operator/ (const cl_R& x, const unsigned long y)
{ return x / cl_I(y); } { return x / cl_I(y); }
inline const cl_R operator/ (const cl_R& x, const float y)
{ return x / cl_R(y); }
inline const cl_R operator/ (const cl_R& x, const double y)
{ return x / cl_R(y); }
// Liefert (abs x), wo x eine reelle Zahl ist. // Liefert (abs x), wo x eine reelle Zahl ist.
extern const cl_R abs (const cl_R& x); extern const cl_R abs (const cl_R& x);
@ -455,6 +487,8 @@ inline cl_R& operator+= (cl_R& x, const int y) { return x = x + y; }
inline cl_R& operator+= (cl_R& x, const unsigned int y) { return x = x + y; } inline cl_R& operator+= (cl_R& x, const unsigned int y) { return x = x + y; }
inline cl_R& operator+= (cl_R& x, const long y) { return x = x + y; } inline cl_R& operator+= (cl_R& x, const long y) { return x = x + y; }
inline cl_R& operator+= (cl_R& x, const unsigned long y) { return x = x + y; } inline cl_R& operator+= (cl_R& x, const unsigned long y) { return x = x + y; }
inline cl_F& operator+= (cl_R& x, const float y) { return static_cast<cl_F&>(x = x + y); }
inline cl_F& operator+= (cl_R& x, const double y) { return static_cast<cl_F&>(x = x + y); }
inline cl_F& operator+= (cl_F& x, const int y) { return x = x + y; } inline cl_F& operator+= (cl_F& x, const int y) { return x = x + y; }
inline cl_F& operator+= (cl_F& x, const unsigned int y) { return x = x + y; } inline cl_F& operator+= (cl_F& x, const unsigned int y) { return x = x + y; }
inline cl_F& operator+= (cl_F& x, const long y) { return x = x + y; } inline cl_F& operator+= (cl_F& x, const long y) { return x = x + y; }
@ -469,6 +503,8 @@ inline cl_R& operator-= (cl_R& x, const int y) { return x = x - y; }
inline cl_R& operator-= (cl_R& x, const unsigned int y) { return x = x - y; } inline cl_R& operator-= (cl_R& x, const unsigned int y) { return x = x - y; }
inline cl_R& operator-= (cl_R& x, const long y) { return x = x - y; } inline cl_R& operator-= (cl_R& x, const long y) { return x = x - y; }
inline cl_R& operator-= (cl_R& x, const unsigned long y) { return x = x - y; } inline cl_R& operator-= (cl_R& x, const unsigned long y) { return x = x - y; }
inline cl_F& operator-= (cl_R& x, const float y) { return static_cast<cl_F&>(x = x - y); }
inline cl_F& operator-= (cl_R& x, const double y) { return static_cast<cl_F&>(x = x - y); }
inline cl_F& operator-= (cl_F& x, const int y) { return x = x - y; } inline cl_F& operator-= (cl_F& x, const int y) { return x = x - y; }
inline cl_F& operator-= (cl_F& x, const unsigned int y) { return x = x - y; } inline cl_F& operator-= (cl_F& x, const unsigned int y) { return x = x - y; }
inline cl_F& operator-= (cl_F& x, const long y) { return x = x - y; } inline cl_F& operator-= (cl_F& x, const long y) { return x = x - y; }
@ -476,6 +512,12 @@ inline cl_F& operator-= (cl_F& x, const unsigned long y) { return x = x - y; }
inline cl_R& operator-- /* prefix */ (cl_R& x) { return x = minus1(x); } inline cl_R& operator-- /* prefix */ (cl_R& x) { return x = minus1(x); }
inline void operator-- /* postfix */ (cl_R& x, int dummy) { (void)dummy; x = minus1(x); } inline void operator-- /* postfix */ (cl_R& x, int dummy) { (void)dummy; x = minus1(x); }
inline cl_R& operator*= (cl_R& x, const cl_R& y) { return x = x * y; } inline cl_R& operator*= (cl_R& x, const cl_R& y) { return x = x * y; }
inline cl_R& operator*= (cl_R& x, const int y) { return x = x * y; }
inline cl_R& operator*= (cl_R& x, const unsigned int y) { return x = x * y; }
inline cl_R& operator*= (cl_R& x, const long y) { return x = x * y; }
inline cl_R& operator*= (cl_R& x, const unsigned long y) { return x = x * y; }
inline cl_R& operator*= (cl_R& x, const float y) { return x = x * y; }
inline cl_R& operator*= (cl_R& x, const double y) { return x = x * y; }
inline cl_R& operator/= (cl_R& x, const cl_R& y) { return x = x / y; } inline cl_R& operator/= (cl_R& x, const cl_R& y) { return x = x / y; }
inline cl_F& operator/= (cl_F& x, const cl_R& y) { return x = x / y; } inline cl_F& operator/= (cl_F& x, const cl_R& y) { return x = x / y; }
inline cl_F& operator/= (cl_F& x, const cl_RA& y) { return x = x / y; } inline cl_F& operator/= (cl_F& x, const cl_RA& y) { return x = x / y; }
@ -484,6 +526,8 @@ inline cl_R& operator/= (cl_R& x, const int y) { return x = x / y; }
inline cl_R& operator/= (cl_R& x, const unsigned int y) { return x = x / y; } inline cl_R& operator/= (cl_R& x, const unsigned int y) { return x = x / y; }
inline cl_R& operator/= (cl_R& x, const long y) { return x = x / y; } inline cl_R& operator/= (cl_R& x, const long y) { return x = x / y; }
inline cl_R& operator/= (cl_R& x, const unsigned long y) { return x = x / y; } inline cl_R& operator/= (cl_R& x, const unsigned long y) { return x = x / y; }
inline cl_R& operator/= (cl_R& x, const float y) { return x = x / y; }
inline cl_R& operator/= (cl_R& x, const double y) { return x = x / y; }
inline cl_F& operator/= (cl_F& x, const int y) { return x = x / y; } inline cl_F& operator/= (cl_F& x, const int y) { return x = x / y; }
inline cl_F& operator/= (cl_F& x, const unsigned int y) { return x = x / y; } inline cl_F& operator/= (cl_F& x, const unsigned int y) { return x = x / y; }
inline cl_F& operator/= (cl_F& x, const long y) { return x = x / y; } inline cl_F& operator/= (cl_F& x, const long y) { return x = x / y; }

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