+ added Inf/Nan stuff

This commit is contained in:
florian 2004-02-20 20:10:44 +00:00
parent df4665129f
commit b43854bb09

View File

@ -114,6 +114,10 @@ interface
EqualsValue = 0;
LessThanValue = Low(TValueRelationship);
GreaterThanValue = High(TValueRelationship);
{$ifndef ver1_0}
NaN = 0.0/0.0;
Infinity = 1.0/0.0;
{$endif ver1_0}
{ Min/max determination }
function MinIntValue(const Data: array of Integer): Integer;
@ -139,46 +143,45 @@ function Min(a, b: Extended): Extended;
function Max(a, b: Extended): Extended;
{$endif FPC_HAS_TYPE_EXTENDED}
function InRange(const AValue, AMin, AMax: Integer): Boolean;
function InRange(const AValue, AMin, AMax: Int64): Boolean;
function InRange(const AValue, AMin, AMax: Integer): Boolean;
function InRange(const AValue, AMin, AMax: Int64): Boolean;
{$ifdef FPC_HAS_TYPE_DOUBLE}
function InRange(const AValue, AMin, AMax: Double): Boolean;
function InRange(const AValue, AMin, AMax: Double): Boolean;
{$endif FPC_HAS_TYPE_DOUBLE}
function EnsureRange(const AValue, AMin, AMax: Integer): Integer;
function EnsureRange(const AValue, AMin, AMax: Int64): Int64;
function EnsureRange(const AValue, AMin, AMax: Integer): Integer;
function EnsureRange(const AValue, AMin, AMax: Int64): Int64;
{$ifdef FPC_HAS_TYPE_DOUBLE}
function EnsureRange(const AValue, AMin, AMax: Double): Double;
function EnsureRange(const AValue, AMin, AMax: Double): Double;
{$endif FPC_HAS_TYPE_DOUBLE}
// Sign functions
Type
TValueSign = -1..1;
const
NegativeValue = Low(TValueSign);
ZeroValue = 0;
PositiveValue = High(TValueSign);
function Sign(const AValue: Integer): TValueSign;
function Sign(const AValue: Int64): TValueSign;
function Sign(const AValue: Double): TValueSign;
function IsZero(const A: Single; Epsilon: Single): Boolean;
function IsZero(const A: Single): Boolean;
function Sign(const AValue: Integer): TValueSign;
function Sign(const AValue: Int64): TValueSign;
function Sign(const AValue: Double): TValueSign;
function IsZero(const A: Single; Epsilon: Single): Boolean;
function IsZero(const A: Single): Boolean;
{$ifdef FPC_HAS_TYPE_DOUBLE}
function IsZero(const A: Double; Epsilon: Double): Boolean;
function IsZero(const A: Double): Boolean;
function IsZero(const A: Double; Epsilon: Double): Boolean;
function IsZero(const A: Double): Boolean;
{$endif FPC_HAS_TYPE_DOUBLE}
{$ifdef FPC_HAS_TYPE_EXTENDED}
function IsZero(const A: Extended; Epsilon: Extended): Boolean;
function IsZero(const A: Extended): Boolean;
function IsZero(const A: Extended; Epsilon: Extended): Boolean;
function IsZero(const A: Extended): Boolean;
{$endif FPC_HAS_TYPE_EXTENDED}
function IsNan(const d : Double): Boolean;
function IsInfinite(const d : Double): Boolean;
{$ifdef FPC_HAS_TYPE_EXTENDED}
function SameValue(const A, B: Extended): Boolean;
{$endif}
@ -194,7 +197,7 @@ function SameValue(const A, B: Double; Epsilon: Double): Boolean;
{$endif}
function SameValue(const A, B: Single; Epsilon: Single): Boolean;
{ angle conversion }
function degtorad(deg : float) : float;
@ -349,7 +352,7 @@ begin
end;
function Sign(const AValue: Integer): TValueSign;
function Sign(const AValue: Integer): TValueSign;
begin
If Avalue<0 then
@ -360,7 +363,7 @@ begin
Result:=ZeroValue;
end;
function Sign(const AValue: Int64): TValueSign;
function Sign(const AValue: Int64): TValueSign;
begin
If Avalue<0 then
@ -381,7 +384,7 @@ begin
else
Result:=ZeroValue;
end;
function degtorad(deg : float) : float;
@ -1103,64 +1106,64 @@ begin
end;
{$endif FPC_HAS_TYPE_EXTENDED}
function InRange(const AValue, AMin, AMax: Integer): Boolean;
function InRange(const AValue, AMin, AMax: Integer): Boolean;
begin
Result:=(AValue>=AMin) and (AValue<=AMax);
end;
function InRange(const AValue, AMin, AMax: Int64): Boolean;
function InRange(const AValue, AMin, AMax: Int64): Boolean;
begin
Result:=(AValue>=AMin) and (AValue<=AMax);
end;
{$ifdef FPC_HAS_TYPE_DOUBLE}
function InRange(const AValue, AMin, AMax: Double): Boolean;
function InRange(const AValue, AMin, AMax: Double): Boolean;
begin
Result:=(AValue>=AMin) and (AValue<=AMax);
end;
{$endif FPC_HAS_TYPE_DOUBLE}
function EnsureRange(const AValue, AMin, AMax: Integer): Integer;
function EnsureRange(const AValue, AMin, AMax: Integer): Integer;
begin
Result:=AValue;
If Result<AMin then
Result:=AMin
else if Result>AMax then
else if Result>AMax then
Result:=AMax;
end;
function EnsureRange(const AValue, AMin, AMax: Int64): Int64;
function EnsureRange(const AValue, AMin, AMax: Int64): Int64;
begin
Result:=AValue;
If Result<AMin then
Result:=AMin
else if Result>AMax then
else if Result>AMax then
Result:=AMax;
end;
{$ifdef FPC_HAS_TYPE_DOUBLE}
function EnsureRange(const AValue, AMin, AMax: Double): Double;
function EnsureRange(const AValue, AMin, AMax: Double): Double;
begin
Result:=AValue;
If Result<AMin then
Result:=AMin
else if Result>AMax then
else if Result>AMax then
Result:=AMax;
end;
{$endif FPC_HAS_TYPE_DOUBLE}
Const
Const
EZeroResolution = 1E-16;
DZeroResolution = 1E-12;
SZeroResolution = 1E-4;
function IsZero(const A: Single; Epsilon: Single): Boolean;
function IsZero(const A: Single; Epsilon: Single): Boolean;
begin
if (Epsilon=0) then
@ -1168,14 +1171,14 @@ begin
Result:=Abs(A)<=Epsilon;
end;
function IsZero(const A: Single): Boolean;
function IsZero(const A: Single): Boolean;
begin
Result:=IsZero(A,single(SZeroResolution));
end;
{$ifdef FPC_HAS_TYPE_DOUBLE}
function IsZero(const A: Double; Epsilon: Double): Boolean;
function IsZero(const A: Double; Epsilon: Double): Boolean;
begin
if (Epsilon=0) then
@ -1183,7 +1186,7 @@ begin
Result:=Abs(A)<=Epsilon;
end;
function IsZero(const A: Double): Boolean;
function IsZero(const A: Double): Boolean;
begin
Result:=IsZero(A,DZeroResolution);
@ -1191,7 +1194,7 @@ end;
{$endif FPC_HAS_TYPE_DOUBLE}
{$ifdef FPC_HAS_TYPE_EXTENDED}
function IsZero(const A: Extended; Epsilon: Extended): Boolean;
function IsZero(const A: Extended; Epsilon: Extended): Boolean;
begin
if (Epsilon=0) then
@ -1199,13 +1202,53 @@ begin
Result:=Abs(A)<=Epsilon;
end;
function IsZero(const A: Extended): Boolean;
function IsZero(const A: Extended): Boolean;
begin
Result:=IsZero(A,EZeroResolution);
end;
{$endif FPC_HAS_TYPE_EXTENDED}
type
TSplitDouble = packed record
cards: Array[0..1] of cardinal;
end;
function IsNan(const d : Double): Boolean;
var
fraczero, expMaximal: boolean;
begin
{$if defined(BIG_ENDIAN) or (defined(CPUARM) and defined(FPUFPA))}
expMaximal := ((TSplitDouble(d).cards[0] shr 20) and $7ff) = 2047;
fraczero:= (TSplitDouble(d).cards[0] and $fffff = 0) and
(TSplitDouble(d).cards[1] = 0);
{$else BIG_ENDIAN}
expMaximal := ((TSplitDouble(d).cards[1] shr 20) and $7ff) = 2047;
fraczero := (TSplitDouble(d).cards[1] and $fffff = 0) and
(TSplitDouble(d).cards[0] = 0);
{$endif BIG_ENDIAN}
Result:=expMaximal and not(fraczero);
end;
function IsInfinite(const d : Double): Boolean;
var
fraczero, expMaximal: boolean;
begin
{$if defined(BIG_ENDIAN) or (defined(CPUARM) and defined(FPUFPA))}
expMaximal := ((TSplitDouble(d).cards[0] shr 20) and $7ff) = 2047;
fraczero:= (TSplitDouble(d).cards[0] and $fffff = 0) and
(TSplitDouble(d).cards[1] = 0);
{$else BIG_ENDIAN}
expMaximal := ((TSplitDouble(d).cards[1] shr 20) and $7ff) = 2047;
fraczero := (TSplitDouble(d).cards[1] and $fffff = 0) and
(TSplitDouble(d).cards[0] = 0);
{$endif BIG_ENDIAN}
Result:=expMaximal and fraczero;
end;
{$ifdef FPC_HAS_TYPE_EXTENDED}
function SameValue(const A, B: Extended; Epsilon: Extended): Boolean;
@ -1266,7 +1309,10 @@ end;
end.
{
$Log$
Revision 1.19 2004-02-09 18:53:09 florian
Revision 1.20 2004-02-20 20:10:44 florian
+ added Inf/Nan stuff
Revision 1.19 2004/02/09 18:53:09 florian
* compilation on ppc fixed
Revision 1.18 2004/02/09 17:21:04 marco
@ -1306,4 +1352,4 @@ end.
Revision 1.7 2002/09/07 16:01:22 peter
* old logs removed and tabs fixed
}
}