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310 lines
9.4 KiB
310 lines
9.4 KiB
// Public single float operations.
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#ifndef _CL_FFLOAT_H
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#define _CL_FFLOAT_H
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#include "cl_number.h"
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#include "cl_ffloat_class.h"
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#include "cl_integer_class.h"
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#include "cl_float.h"
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CL_DEFINE_AS_CONVERSION(cl_FF)
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// Liefert zu einem Single-Float x : (- x), ein FF.
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extern const cl_FF operator- (const cl_FF& x);
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// cl_compare(x,y) vergleicht zwei Single-Floats x und y.
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// Ergebnis: 0 falls x=y, +1 falls x>y, -1 falls x<y.
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extern cl_signean cl_compare (const cl_FF& x, const cl_FF& y);
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// cl_equal_hashcode(x) liefert einen cl_equal-invarianten Hashcode für x.
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extern uint32 cl_equal_hashcode (const cl_FF& x);
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inline bool operator== (const cl_FF& x, const cl_FF& y)
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{ return cl_compare(x,y)==0; }
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inline bool operator!= (const cl_FF& x, const cl_FF& y)
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{ return cl_compare(x,y)!=0; }
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inline bool operator<= (const cl_FF& x, const cl_FF& y)
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{ return cl_compare(x,y)<=0; }
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inline bool operator< (const cl_FF& x, const cl_FF& y)
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{ return cl_compare(x,y)<0; }
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inline bool operator>= (const cl_FF& x, const cl_FF& y)
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{ return cl_compare(x,y)>=0; }
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inline bool operator> (const cl_FF& x, const cl_FF& y)
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{ return cl_compare(x,y)>0; }
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// minusp(x) == (< x 0)
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extern cl_boolean minusp (const cl_FF& x);
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// zerop(x) stellt fest, ob ein Single-Float x = 0.0 ist.
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extern cl_boolean zerop (const cl_FF& x);
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// plusp(x) == (> x 0)
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extern cl_boolean plusp (const cl_FF& x);
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// Liefert zu zwei Single-Float x und y : (+ x y), ein FF.
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extern const cl_FF operator+ (const cl_FF& x, const cl_FF& y);
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// Liefert zu zwei Single-Float x und y : (- x y), ein FF.
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extern const cl_FF operator- (const cl_FF& x, const cl_FF& y);
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// Liefert zu zwei Single-Float x und y : (* x y), ein FF.
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extern const cl_FF operator* (const cl_FF& x, const cl_FF& y);
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// Liefert zu einem Single-Float x : (* x x), ein FF.
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inline const cl_FF square (const cl_FF& x) { return x*x; }
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// Liefert zu zwei Single-Float x und y : (/ x y), ein FF.
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extern const cl_FF operator/ (const cl_FF& x, const cl_FF& y);
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// Liefert zu einem Single-Float x>=0 : (sqrt x), ein FF.
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extern const cl_FF sqrt (const cl_FF& x);
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// recip(x) liefert (/ x), wo x ein Single-Float ist.
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extern const cl_FF recip (const cl_FF& x);
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// abs(x) liefert (abs x), wo x ein Single-Float ist.
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extern const cl_FF abs (const cl_FF& x);
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// (1+ x), wo x ein Single-Float ist.
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inline const cl_FF plus1 (const cl_FF& x)
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{
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extern const cl_FF cl_I_to_FF (const cl_I&);
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return x + cl_I_to_FF(cl_I(1));
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}
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// (1- x), wo x ein Single-Float ist.
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inline const cl_FF minus1 (const cl_FF& x)
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{
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extern const cl_FF cl_I_to_FF (const cl_I&);
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return x + cl_I_to_FF(cl_I(-1));
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}
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// ffloor(x) liefert (ffloor x), wo x ein FF ist.
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extern const cl_FF ffloor (const cl_FF& x);
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// fceiling(x) liefert (fceiling x), wo x ein FF ist.
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extern const cl_FF fceiling (const cl_FF& x);
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// ftruncate(x) liefert (ftruncate x), wo x ein FF ist.
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extern const cl_FF ftruncate (const cl_FF& x);
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// fround(x) liefert (fround x), wo x ein FF ist.
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extern const cl_FF fround (const cl_FF& x);
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// Return type for frounding operators.
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// x / y --> (q,r) with x = y*q+r.
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struct cl_FF_fdiv_t {
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cl_FF quotient;
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cl_FF remainder;
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// Constructor.
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cl_FF_fdiv_t () {}
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cl_FF_fdiv_t (const cl_FF& q, const cl_FF& r) : quotient(q), remainder(r) {}
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};
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// ffloor2(x) liefert (ffloor x), wo x ein FF ist.
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inline const cl_FF_fdiv_t ffloor2 (const cl_FF& x)
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{ cl_FF q = ffloor(x); return cl_FF_fdiv_t(q,x-q); }
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// fceiling2(x) liefert (fceiling x), wo x ein FF ist.
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inline const cl_FF_fdiv_t fceiling2 (const cl_FF& x)
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{ cl_FF q = fceiling(x); return cl_FF_fdiv_t(q,x-q); }
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// ftruncate2(x) liefert (ftruncate x), wo x ein FF ist.
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inline const cl_FF_fdiv_t ftruncate2 (const cl_FF& x)
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{ cl_FF q = ftruncate(x); return cl_FF_fdiv_t(q,x-q); }
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// fround2(x) liefert (fround x), wo x ein FF ist.
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inline const cl_FF_fdiv_t fround2 (const cl_FF& x)
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{ cl_FF q = fround(x); return cl_FF_fdiv_t(q,x-q); }
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// Return type for rounding operators.
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// x / y --> (q,r) with x = y*q+r.
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struct cl_FF_div_t {
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cl_I quotient;
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cl_FF remainder;
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// Constructor.
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cl_FF_div_t () {}
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cl_FF_div_t (const cl_I& q, const cl_FF& r) : quotient(q), remainder(r) {}
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};
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// floor2(x) liefert (floor x), wo x ein FF ist.
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inline const cl_FF_div_t floor2 (const cl_FF& x)
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{
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extern const cl_I cl_FF_to_I (const cl_FF& x);
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cl_FF q = ffloor(x);
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return cl_FF_div_t(cl_FF_to_I(q),x-q);
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}
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inline const cl_I floor1 (const cl_FF& x)
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{
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extern const cl_I cl_FF_to_I (const cl_FF& x);
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return cl_FF_to_I(ffloor(x));
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}
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// ceiling2(x) liefert (ceiling x), wo x ein FF ist.
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inline const cl_FF_div_t ceiling2 (const cl_FF& x)
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{
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extern const cl_I cl_FF_to_I (const cl_FF& x);
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cl_FF q = fceiling(x);
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return cl_FF_div_t(cl_FF_to_I(q),x-q);
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}
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inline const cl_I ceiling1 (const cl_FF& x)
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{
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extern const cl_I cl_FF_to_I (const cl_FF& x);
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return cl_FF_to_I(fceiling(x));
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}
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// truncate2(x) liefert (truncate x), wo x ein FF ist.
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inline const cl_FF_div_t truncate2 (const cl_FF& x)
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{
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extern const cl_I cl_FF_to_I (const cl_FF& x);
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cl_FF q = ftruncate(x);
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return cl_FF_div_t(cl_FF_to_I(q),x-q);
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}
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inline const cl_I truncate1 (const cl_FF& x)
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{
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extern const cl_I cl_FF_to_I (const cl_FF& x);
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return cl_FF_to_I(ftruncate(x));
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}
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// round2(x) liefert (round x), wo x ein FF ist.
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inline const cl_FF_div_t round2 (const cl_FF& x)
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{
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extern const cl_I cl_FF_to_I (const cl_FF& x);
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cl_FF q = fround(x);
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return cl_FF_div_t(cl_FF_to_I(q),x-q);
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}
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inline const cl_I round1 (const cl_FF& x)
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{
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extern const cl_I cl_FF_to_I (const cl_FF& x);
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return cl_FF_to_I(fround(x));
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}
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// floor2(x,y) liefert (floor x y).
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extern const cl_FF_div_t floor2 (const cl_FF& x, const cl_FF& y);
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inline const cl_I floor1 (const cl_FF& x, const cl_FF& y) { return floor1(x/y); }
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// ceiling2(x,y) liefert (ceiling x y).
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extern const cl_FF_div_t ceiling2 (const cl_FF& x, const cl_FF& y);
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inline const cl_I ceiling1 (const cl_FF& x, const cl_FF& y) { return ceiling1(x/y); }
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// truncate2(x,y) liefert (truncate x y).
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extern const cl_FF_div_t truncate2 (const cl_FF& x, const cl_FF& y);
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inline const cl_I truncate1 (const cl_FF& x, const cl_FF& y) { return truncate1(x/y); }
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// round2(x,y) liefert (round x y).
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extern const cl_FF_div_t round2 (const cl_FF& x, const cl_FF& y);
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inline const cl_I round1 (const cl_FF& x, const cl_FF& y) { return round1(x/y); }
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// Return type for decode_float:
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struct cl_decoded_ffloat {
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cl_FF mantissa;
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cl_I exponent;
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cl_FF sign;
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// Constructor.
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cl_decoded_ffloat () {}
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cl_decoded_ffloat (const cl_FF& m, const cl_I& e, const cl_FF& s) : mantissa(m), exponent(e), sign(s) {}
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};
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// decode_float(x) liefert zu einem Float x: (decode-float x).
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// x = 0.0 liefert (0.0, 0, 1.0).
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// x = (-1)^s * 2^e * m liefert ((-1)^0 * 2^0 * m, e als Integer, (-1)^s).
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extern const cl_decoded_ffloat decode_float (const cl_FF& x);
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// float_exponent(x) liefert zu einem Float x:
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// den Exponenten von (decode-float x).
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// x = 0.0 liefert 0.
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// x = (-1)^s * 2^e * m liefert e.
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extern sintL float_exponent (const cl_FF& x);
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// float_radix(x) liefert (float-radix x), wo x ein Float ist.
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inline sintL float_radix (const cl_FF& x)
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{
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(void)x; // unused x
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return 2;
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}
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// float_sign(x) liefert (float-sign x), wo x ein Float ist.
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extern const cl_FF float_sign (const cl_FF& x);
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// float_digits(x) liefert (float-digits x), wo x ein Float ist.
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// < ergebnis: ein uintL >0
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extern uintL float_digits (const cl_FF& x);
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// float_precision(x) liefert (float-precision x), wo x ein Float ist.
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// < ergebnis: ein uintL >=0
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extern uintL float_precision (const cl_FF& x);
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// integer_decode_float(x) liefert zu einem Float x: (integer-decode-float x).
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// x = 0.0 liefert (0, 0, 1).
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// x = (-1)^s * 2^e * m bei Float-Precision p liefert
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// (Mantisse 2^p * m als Integer, e-p als Integer, (-1)^s als Fixnum).
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extern const cl_idecoded_float integer_decode_float (const cl_FF& x);
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// scale_float(x,delta) liefert x*2^delta, wo x ein FF ist.
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extern const cl_FF scale_float (const cl_FF& x, sintL delta);
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extern const cl_FF scale_float (const cl_FF& x, const cl_I& delta);
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// max(x,y) liefert (max x y), wo x und y Floats sind.
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extern const cl_FF max (const cl_FF& x, const cl_FF& y);
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// min(x,y) liefert (min x y), wo x und y Floats sind.
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extern const cl_FF min (const cl_FF& x, const cl_FF& y);
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// signum(x) liefert (signum x), wo x ein Float ist.
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extern const cl_FF signum (const cl_FF& x);
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// Konversion zu einem C "float".
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extern float cl_float_approx (const cl_FF& x);
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// Konversion zu einem C "double".
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extern double cl_double_approx (const cl_FF& x);
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#ifdef WANT_OBFUSCATING_OPERATORS
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// This could be optimized to use in-place operations.
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inline cl_FF& operator+= (cl_FF& x, const cl_FF& y) { return x = x + y; }
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inline cl_FF& operator++ /* prefix */ (cl_FF& x) { return x = plus1(x); }
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inline void operator++ /* postfix */ (cl_FF& x, int dummy) { (void)dummy; x = plus1(x); }
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inline cl_FF& operator-= (cl_FF& x, const cl_FF& y) { return x = x - y; }
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inline cl_FF& operator-- /* prefix */ (cl_FF& x) { return x = minus1(x); }
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inline void operator-- /* postfix */ (cl_FF& x, int dummy) { (void)dummy; x = minus1(x); }
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inline cl_FF& operator*= (cl_FF& x, const cl_FF& y) { return x = x * y; }
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inline cl_FF& operator/= (cl_FF& x, const cl_FF& y) { return x = x / y; }
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#endif
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CL_REQUIRE(cl_ieee)
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/* */
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// Runtime typing support.
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extern cl_class cl_class_ffloat;
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#ifdef CL_WIDE_POINTERS
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static const void* const cl_FF_classes_dummy[] = { &cl_FF_classes_dummy,
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&cl_class_ffloat
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};
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#endif
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// Debugging support.
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#ifdef CL_DEBUG
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extern int cl_FF_debug_module;
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static void* const cl_FF_debug_dummy[] = { &cl_FF_debug_dummy,
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&cl_FF_debug_module
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};
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#endif
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#endif /* _CL_FFLOAT_H */
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