<<>> <> <> <> <> <> DIRECTORY Basics; Scaled: CEDAR DEFINITIONS = BEGIN Value: TYPE = Basics.LongNumber.pair; zero: Value = [pair[0, 0]]; one: Value = [pair[hi: 1, lo: 0]]; unit: Value = one; epsilon: Value = [pair[hi: 0, lo: 1]]; oneMinusEpsilon: Value = [pair[hi: 0, lo: LAST[CARD16]]]; half: Value = [pair[hi: 0, lo: (LAST[CARD16]/2)+1]]; infinity: Value = LOOPHOLE[LAST[INT]]; negInfinity: Value = LOOPHOLE[FIRST[INT]]; IntRep: PROC [v: Value] RETURNS [INT] = INLINE { RETURN[LOOPHOLE[v]] }; ValRep: PROC [i: INT] RETURNS [Value] = INLINE { RETURN[LOOPHOLE[i]] }; FromInt: PROC [int: INTEGER] RETURNS [Value] = INLINE { RETURN[[pair[hi: LOOPHOLE[int], lo: 0]]] }; FromReal: PROC [real: REAL] RETURNS [Value]; <<>> PLUS: PROC [a, b: Value] RETURNS [Value] = INLINE { RETURN[ValRep[IntRep[a] + IntRep[b]]] }; MINUS: PROC [a, b: Value] RETURNS [Value] = INLINE { RETURN[ValRep[IntRep[a] - IntRep[b]]] }; UMINUS: PROC [a: Value] RETURNS [Value] = INLINE { RETURN[ValRep[-IntRep[a]]] }; TIMES: PROC [a, b: Value] RETURNS [Value]; DIVIDE: PROC [a, b: Value] RETURNS [Value]; GREATER: PROC [a, b: Value] RETURNS [BOOL] = INLINE { RETURN[IntRep[a] > IntRep[b]] }; LESS: PROC [a, b: Value] RETURNS [BOOL] = INLINE { RETURN[IntRep[a] < IntRep[b]] }; Max: PROC [a, b: Value] RETURNS [Value] = INLINE { RETURN[ValRep[MAX[IntRep[a], IntRep[b]]]] }; Min: PROC [a, b: Value] RETURNS [Value] = INLINE { RETURN[ValRep[MIN[IntRep[a], IntRep[b]]]] }; Floor: PROC [a: Value] RETURNS [INT16] = INLINE { RETURN[LOOPHOLE[a.hi]] }; Ceiling: PROC [a: Value] RETURNS [INT16] = INLINE { RETURN[Floor[PLUS[a, oneMinusEpsilon]]] }; Round: PROC [a: Value] RETURNS [INT16] = INLINE { RETURN[Floor[PLUS[a, half]]] }; Float: PROC [a: Value] RETURNS [REAL]; <<>> Scale: PROC [a: Value, scale: INTEGER] RETURNS [Value]; Halve: PROC [a: Value] RETURNS [Value]; END.