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fixing Math, MathL and the ooc real math

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sincos took cos as sqrt(1 - sin*sin): its sign was lost and it was
0 near pi/2 (tan(pi/2) gave large, tan(-pi) the wrong sign); REAL tan
and sin/cos reduced in LONGREAL with REAL pi and pi/2; REAL arcsin and
arccos returned their unadjusted value after any earlier error
(err stays set). in oocLowReal, scale, intpart, trunc and round
treated a REAL as a 64 bit SET (RealMath.sqrt(2) was about 1E9); now
with Reals.SetExpo and ENTIER. LowReal.small and LowLReal.small are
the exact constants again. the math test expects the right values.
This commit is contained in:
Norayr Chilingarian 2026-10-06 20:14:42 +04:00
parent e69f33a0cd
commit 531bfe168b
7 changed files with 128 additions and 129 deletions
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2
src/library/ooc/oocLRealMath.Mod
View file

@ -360,7 +360,7 @@ END ipower;
PROCEDURE sincos* (x: LONGREAL; VAR Sin, Cos: LONGREAL); PROCEDURE sincos* (x: LONGREAL; VAR Sin, Cos: LONGREAL);
(* More efficient sin/cos implementation if both values are needed. *) (* More efficient sin/cos implementation if both values are needed. *)
BEGIN BEGIN
Sin:=sin(x); Cos:=sqrt(ONE-Sin*Sin) Sin:=sin(x); Cos:=cos(x) (* sqrt(ONE-Sin*Sin) lost the sign of cos and its precision near pi/2 *)
END sincos; END sincos;
PROCEDURE arctan2* (xn, xd: LONGREAL): LONGREAL; PROCEDURE arctan2* (xn, xd: LONGREAL): LONGREAL;

3
src/library/ooc/oocLowLReal.Mod
View file

@ -87,8 +87,7 @@ CONST
expoMax*= 1023; expoMax*= 1023;
expoMin*= 1-expoMax; expoMin*= 1-expoMax;
large*= MAX(LONGREAL); (*1.7976931348623157D+308;*) (* MAX(LONGREAL) *) large*= MAX(LONGREAL); (*1.7976931348623157D+308;*) (* MAX(LONGREAL) *)
(*small*= 2.2250738585072014D-308;*) small*= 2.2250738585072014D-308; (* 2^(-1022); exact since the compiler converts and writes reals exactly *)
small*= 2.2250738585072014/9.9999999999999981D307(*/10^308)*);
IEC559*= TRUE; IEC559*= TRUE;
LIA1*= FALSE; LIA1*= FALSE;
rounds*= FALSE; rounds*= FALSE;

44
src/library/ooc/oocLowReal.Mod
View file

@ -84,8 +84,7 @@ CONST
expoMax*= 127; expoMax*= 127;
expoMin*= 1-expoMax; expoMin*= 1-expoMax;
large*= MAX(REAL);(*3.40282347E+38;*) (* MAX(REAL) *) large*= MAX(REAL);(*3.40282347E+38;*) (* MAX(REAL) *)
(*small*= 1.17549435E-38; (* 2^(-126) *)*) small*= 1.17549435E-38; (* 2^(-126) *)
small* = 1/8.50705917E37; (* don't know better way; -- noch *)
IEC559*= TRUE; IEC559*= TRUE;
LIA1*= FALSE; LIA1*= FALSE;
rounds*= FALSE; rounds*= FALSE;
@ -171,12 +170,12 @@ END fraction;
PROCEDURE IsInfinity * (real: REAL) : BOOLEAN; PROCEDURE IsInfinity * (real: REAL) : BOOLEAN;
BEGIN BEGIN
RETURN (Reals.Expo(real) = 255) & (S.VAL(SET, real) * {0..22} = {}) RETURN (Reals.Expo(real) = 255) & (real = real) (* not a NaN *)
END IsInfinity; END IsInfinity;
PROCEDURE IsNaN * (real: REAL) : BOOLEAN; PROCEDURE IsNaN * (real: REAL) : BOOLEAN;
BEGIN BEGIN
RETURN (Reals.Expo(real) = 255) & (S.VAL(SET, real) * {0..22} # {}) RETURN real # real (* only a NaN differs from itself *)
END IsNaN; END IsNaN;
PROCEDURE sign*(x: REAL): REAL; PROCEDURE sign*(x: REAL): REAL;
@ -195,15 +194,17 @@ PROCEDURE scale*(x: REAL; n: INTEGER): REAL;
The value of the call scale(x,n) shall be the value x*radix^n if such The value of the call scale(x,n) shall be the value x*radix^n if such
a value exists; otherwise an execption shall occur and may be raised. a value exists; otherwise an execption shall occur and may be raised.
*) *)
VAR exp: LONGINT; lexp: SET; VAR exp: LONGINT;
BEGIN BEGIN
IF x=ZERO THEN RETURN ZERO END; IF x=ZERO THEN RETURN ZERO END;
exp:= exponent(x)+n; (* new exponent *) exp:= exponent(x)+n; (* new exponent *)
IF exp>expoMax THEN RETURN large*sign(x) (* exception raised here *) IF exp>expoMax THEN RETURN large*sign(x) (* exception raised here *)
ELSIF exp<expoMin THEN RETURN small*sign(x) (* exception here as well *) ELSIF exp<expoMin THEN RETURN small*sign(x) (* exception here as well *)
END; END;
lexp:=S.VAL(SET,S.LSH(exp+expOffset,expBit)); (* shifted exponent bits *) (* the new exponent with Reals, as fraction: the bits of x as a SET were wrong where SET has
RETURN S.VAL(REAL,(S.VAL(SET,x)*nMask)+lexp) (* insert new exponent *) 64 bits (scale, sqrt and arccos of RealMath gave about 1E9) *)
Reals.SetExpo(x, SHORT(exp+expOffset));
RETURN x
END scale; END scale;
PROCEDURE ulp*(x: REAL): REAL; PROCEDURE ulp*(x: REAL): REAL;
@ -245,8 +246,8 @@ PROCEDURE intpart*(x: REAL): REAL;
BEGIN BEGIN
loBit:=(hiBit+1)-exponent(x); loBit:=(hiBit+1)-exponent(x);
IF loBit<=0 THEN RETURN x (* no fractional part *) IF loBit<=0 THEN RETURN x (* no fractional part *)
ELSIF loBit<=hiBit+1 THEN ELSIF loBit<=hiBit+1 THEN (* ABS(x) < 2^23: ENTIER is exact *)
RETURN S.VAL(REAL,S.VAL(SET,x)*{loBit..31}) (* integer part is extracted *) IF x<ZERO THEN RETURN -ENTIER(-x) ELSE RETURN ENTIER(x) END
ELSE RETURN ZERO (* no whole part *) ELSE RETURN ZERO (* no whole part *)
END END
END intpart; END intpart;
@ -266,12 +267,12 @@ PROCEDURE trunc*(x: REAL; n: INTEGER): REAL;
significant `n' places of `x'. An exception shall occur and may be significant `n' places of `x'. An exception shall occur and may be
raised if `n' is less than or equal to zero. raised if `n' is less than or equal to zero.
*) *)
VAR loBit: INTEGER; mask: SET; VAR loBit, k: INTEGER;
BEGIN loBit:=places-n; BEGIN loBit:=places-n;
IF n<=0 THEN RETURN ZERO (* exception should be raised *) IF n<=0 THEN RETURN ZERO (* exception should be raised *)
ELSIF loBit<=0 THEN RETURN x (* nothing was truncated *) ELSIF (loBit<=0) OR (x=ZERO) THEN RETURN x (* nothing was truncated *)
ELSE mask:={loBit..31}; (* truncation bit mask *) ELSE k:=n-1-exponent(x); (* x scaled by 2^k has n places before the point *)
RETURN S.VAL(REAL,S.VAL(SET,x)*mask) RETURN scale(intpart(scale(x, k)), -k)
END END
END trunc; END trunc;
@ -282,19 +283,14 @@ PROCEDURE round*(x: REAL; n: INTEGER): REAL;
raised if such a value does not exist, or if `n' is less than or equal raised if such a value does not exist, or if `n' is less than or equal
to zero. to zero.
*) *)
VAR loBit: INTEGER; num, mask: SET; r: REAL; VAR loBit, k: INTEGER; t, i: REAL;
BEGIN loBit:=places-n; BEGIN loBit:=places-n;
IF n<=0 THEN RETURN ZERO (* exception should be raised *) IF n<=0 THEN RETURN ZERO (* exception should be raised *)
ELSIF loBit<=0 THEN RETURN x (* nothing was rounded *) ELSIF (loBit<=0) OR (x=ZERO) THEN RETURN x (* nothing was rounded *)
ELSE mask:={loBit..31}; num:=S.VAL(SET,x); (* truncation bit mask and number as SET *) ELSE k:=n-1-exponent(x); (* x scaled by 2^k has n places before the point *)
x:=S.VAL(REAL,num*mask); (* truncated result *) t:=scale(ABS(x), k); i:=intpart(t);
IF loBit-1 IN num THEN (* check if result should be rounded *) IF t-i>=0.5 THEN i:=i+ONE END; (* the first dropped bit set: away from zero *)
r:=scale(ONE,exponent(x)-n+1); (* rounding fraction *) RETURN scale(i, -k)*sign(x)
IF 31 IN num THEN RETURN x-r (* negative rounding toward -infinity *)
ELSE RETURN x+r (* positive rounding toward +infinity *)
END
ELSE RETURN x (* return truncated result *)
END
END END
END round; END round;

12
src/library/ooc/oocRealMath.Mod
View file

@ -43,6 +43,8 @@ CONST
eps=2.9802322E-8; (* 2**(-MantBits-1) *) eps=2.9802322E-8; (* 2**(-MantBits-1) *)
piInv=0.31830988618379067154; (* 1/pi *) piInv=0.31830988618379067154; (* 1/pi *)
piByTwo=1.57079632679489661923132; piByTwo=1.57079632679489661923132;
piByTwoL = 1.57079632679489661923132D0; (* for the reduction of tan in LONGREAL: with the REAL piByTwo, tan(pi/2) was infinite *)
piL = 3.1415926535897932384626433832795028841972D0; (* for the reduction of SinCos in LONGREAL *)
piByFour=0.78539816339744830962; piByFour=0.78539816339744830962;
lnv=0.6931610107421875; (* should be exact *) lnv=0.6931610107421875; (* should be exact *)
vbytwo=0.13830277879601902638E-4; (* used in sinh/cosh *) vbytwo=0.13830277879601902638E-4; (* used in sinh/cosh *)
@ -84,7 +86,7 @@ BEGIN
IF x#y THEN xn:=xn-HALF END; IF x#y THEN xn:=xn-HALF END;
(* fractional part of reduced number *) (* fractional part of reduced number *)
f:=SHORT(ABS(LONG(x)) - LONG(xn)*pi); f:=SHORT(ABS(LONG(x)) - LONG(xn)*piL);
(* Pre: |f| <= pi/2 *) (* Pre: |f| <= pi/2 *)
IF ABS(f)<Limit THEN RETURN sign*f END; IF ABS(f)<Limit THEN RETURN sign*f END;
@ -219,7 +221,7 @@ BEGIN
(* determine n and the fraction f *) (* determine n and the fraction f *)
n:=round(x*twoByPi); xn:=n; n:=round(x*twoByPi); xn:=n;
f:=SHORT(LONG(x)-LONG(xn)*piByTwo); f:=SHORT(LONG(x)-LONG(xn)*piByTwoL);
(* check for underflow *) (* check for underflow *)
IF ABS(f)<Limit THEN xnum:=f; xden:=ONE IF ABS(f)<Limit THEN xnum:=f; xden:=ONE
@ -269,7 +271,7 @@ VAR
res: REAL; i: LONGINT; res: REAL; i: LONGINT;
BEGIN BEGIN
asincos(x, 0, i, res); asincos(x, 0, i, res);
IF l.err#0 THEN RETURN res END; IF ABS(x) > ONE THEN RETURN res END; (* this call failed; err stays set from any earlier error *)
(* adjust result for the correct quadrant *) (* adjust result for the correct quadrant *)
IF i=1 THEN res:=piByFour+(piByFour+res) END; IF i=1 THEN res:=piByFour+(piByFour+res) END;
@ -283,7 +285,7 @@ VAR
res: REAL; i: LONGINT; res: REAL; i: LONGINT;
BEGIN BEGIN
asincos(x, 1, i, res); asincos(x, 1, i, res);
IF l.err#0 THEN RETURN res END; IF ABS(x) > ONE THEN RETURN res END; (* this call failed; err stays set from any earlier error *)
(* adjust result for the correct quadrant *) (* adjust result for the correct quadrant *)
IF x<0 THEN IF x<0 THEN
@ -448,7 +450,7 @@ END ipower;
PROCEDURE sincos* (x: REAL; VAR Sin, Cos: REAL); PROCEDURE sincos* (x: REAL; VAR Sin, Cos: REAL);
(* More efficient sin/cos implementation if both values are needed. *) (* More efficient sin/cos implementation if both values are needed. *)
BEGIN BEGIN
Sin:=sin(x); Cos:=sqrt(ONE-Sin*Sin) Sin:=sin(x); Cos:=cos(x) (* sqrt(ONE-Sin*Sin) lost the sign of cos and its precision near pi/2 *)
END sincos; END sincos;
PROCEDURE arctan2* (xn, xd: REAL): REAL; PROCEDURE arctan2* (xn, xd: REAL): REAL;

12
src/runtime/Math.Mod
View file

@ -106,6 +106,8 @@ CONST
eps = 2.9802322E-8; (* 2 * *( - MantBits - 1) *) eps = 2.9802322E-8; (* 2 * *( - MantBits - 1) *)
piInv = 0.31830988618379067154; (* 1/pi *) piInv = 0.31830988618379067154; (* 1/pi *)
piByTwo = 1.57079632679489661923132; piByTwo = 1.57079632679489661923132;
piByTwoL = 1.57079632679489661923132D0; (* for the reduction of tan in LONGREAL: with the REAL piByTwo, tan(pi/2) was infinite *)
piL = 3.1415926535897932384626433832795028841972D0; (* for the reduction of SinCos in LONGREAL *)
piByFour = 0.78539816339744830962; piByFour = 0.78539816339744830962;
lnv = 0.6931610107421875; (* should be exact *) lnv = 0.6931610107421875; (* should be exact *)
vbytwo = 0.13830277879601902638E-4; (* used in sinh/cosh *) vbytwo = 0.13830277879601902638E-4; (* used in sinh/cosh *)
@ -244,7 +246,7 @@ BEGIN
IF x # y THEN xn := xn - HALF END; IF x # y THEN xn := xn - HALF END;
(* fractional part of reduced number *) (* fractional part of reduced number *)
f := SHORT(ABS(LONG(x)) - LONG(xn) * pi); f := SHORT(ABS(LONG(x)) - LONG(xn) * piL);
(* Pre: |f| <= pi/2 *) (* Pre: |f| <= pi/2 *)
IF ABS(f) < Limit THEN RETURN sign * f END; IF ABS(f) < Limit THEN RETURN sign * f END;
@ -384,7 +386,7 @@ BEGIN
(* determine n and the fraction f *) (* determine n and the fraction f *)
n := round(x * twoByPi); xn := n; n := round(x * twoByPi); xn := n;
f := SHORT(LONG(x) - LONG(xn) * piByTwo); f := SHORT(LONG(x) - LONG(xn) * piByTwoL);
(* check for underflow *) (* check for underflow *)
IF ABS(f) < Limit THEN xnum := f; xden := ONE IF ABS(f) < Limit THEN xnum := f; xden := ONE
@ -434,7 +436,7 @@ VAR
res: REAL; i: LONGINT; res: REAL; i: LONGINT;
BEGIN BEGIN
asincos(x, 0, i, res); asincos(x, 0, i, res);
IF err # 0 THEN RETURN res END; IF ABS(x) > ONE THEN RETURN res END; (* this call failed; err stays set from any earlier error *)
(* adjust result for the correct quadrant *) (* adjust result for the correct quadrant *)
IF i = 1 THEN res := piByFour + (piByFour + res) END; IF i = 1 THEN res := piByFour + (piByFour + res) END;
@ -448,7 +450,7 @@ VAR
res: REAL; i: LONGINT; res: REAL; i: LONGINT;
BEGIN BEGIN
asincos(x, 1, i, res); asincos(x, 1, i, res);
IF err # 0 THEN RETURN res END; IF ABS(x) > ONE THEN RETURN res END; (* this call failed; err stays set from any earlier error *)
(* adjust result for the correct quadrant *) (* adjust result for the correct quadrant *)
IF x < 0 THEN IF x < 0 THEN
@ -619,7 +621,7 @@ END ipower;
PROCEDURE sincos* (x: REAL; VAR Sin, Cos: REAL); PROCEDURE sincos* (x: REAL; VAR Sin, Cos: REAL);
(* More efficient sin/cos implementation if both values are needed. *) (* More efficient sin/cos implementation if both values are needed. *)
BEGIN BEGIN
Sin := sin(x); Cos := sqrt(ONE-Sin * Sin) Sin := sin(x); Cos := cos(x) (* sqrt(ONE-Sin*Sin) lost the sign of cos and its precision near pi/2 *)
END sincos; END sincos;
PROCEDURE arctan2* (xn, xd: REAL): REAL; PROCEDURE arctan2* (xn, xd: REAL): REAL;

2
src/runtime/MathL.Mod
View file

@ -520,7 +520,7 @@ END ipower;
PROCEDURE sincos* (x: LONGREAL; VAR Sin, Cos: LONGREAL); PROCEDURE sincos* (x: LONGREAL; VAR Sin, Cos: LONGREAL);
(* More efficient sin/cos implementation if both values are needed. *) (* More efficient sin/cos implementation if both values are needed. *)
BEGIN BEGIN
Sin := sin(x); Cos := sqrt(ONE-Sin*Sin) Sin := sin(x); Cos := cos(x) (* sqrt(ONE-Sin*Sin) lost the sign of cos and its precision near pi/2 *)
END sincos; END sincos;
PROCEDURE arctan2* (xn, xd: LONGREAL): LONGREAL; PROCEDURE arctan2* (xn, xd: LONGREAL): LONGREAL;

182
src/test/confidence/math/expected
View file

@ -47,7 +47,7 @@ Math.round(-3.0000E+00): -3. MathL.round(-3.0000000000000D+000): -3
Math.round(-4.0000E+00): -4. MathL.round(-4.0000000000000D+000): -4 Math.round(-4.0000E+00): -4. MathL.round(-4.0000000000000D+000): -4
Math.sqrt(9.00000E-01): 9.48683E-01. MathL.sqrt(9.00000000000000D-001): 9.48683298050514D-001 Math.sqrt(9.00000E-01): 9.48683E-01. MathL.sqrt(9.00000000000000D-001): 9.48683298050514D-001
Math.sqrt(1.00000E+00): 1.00000E-01. MathL.sqrt(1.00000000000000D+000): 1.00000000000000D+000 Math.sqrt(1.00000E+00): 1.00000E+00. MathL.sqrt(1.00000000000000D+000): 1.00000000000000D+000
Math.sqrt(1.40000E+00): 1.18322E+00. MathL.sqrt(1.40000000000000D+000): 1.18321595661992D+000 Math.sqrt(1.40000E+00): 1.18322E+00. MathL.sqrt(1.40000000000000D+000): 1.18321595661992D+000
Math.sqrt(1.50000E+00): 1.22474E+00. MathL.sqrt(1.50000000000000D+000): 1.22474487139159D+000 Math.sqrt(1.50000E+00): 1.22474E+00. MathL.sqrt(1.50000000000000D+000): 1.22474487139159D+000
Math.sqrt(1.60000E+00): 1.26491E+00. MathL.sqrt(1.60000000000000D+000): 1.26491106406735D+000 Math.sqrt(1.60000E+00): 1.26491E+00. MathL.sqrt(1.60000000000000D+000): 1.26491106406735D+000
@ -58,7 +58,7 @@ Math.sqrt(2.50000E+00): 1.58114E+00. MathL.sqrt(2.50000000000000D+000): 1.58113
Math.sqrt(3.00000E+00): 1.73205E+00. MathL.sqrt(3.00000000000000D+000): 1.73205080756888D+000 Math.sqrt(3.00000E+00): 1.73205E+00. MathL.sqrt(3.00000000000000D+000): 1.73205080756888D+000
Math.sqrt(4.00000E+00): 2.00000E+00. MathL.sqrt(4.00000000000000D+000): 2.00000000000000D+000 Math.sqrt(4.00000E+00): 2.00000E+00. MathL.sqrt(4.00000000000000D+000): 2.00000000000000D+000
Math.sqrt(-9.0000E-01): 9.48683E-01. MathL.sqrt(-9.0000000000000D-001): 9.48683298050514D-001 Math.sqrt(-9.0000E-01): 9.48683E-01. MathL.sqrt(-9.0000000000000D-001): 9.48683298050514D-001
Math.sqrt(-1.0000E+00): 1.00000E-01. MathL.sqrt(-1.0000000000000D+000): 1.00000000000000D+000 Math.sqrt(-1.0000E+00): 1.00000E+00. MathL.sqrt(-1.0000000000000D+000): 1.00000000000000D+000
Math.sqrt(-1.4000E+00): 1.18322E+00. MathL.sqrt(-1.4000000000000D+000): 1.18321595661992D+000 Math.sqrt(-1.4000E+00): 1.18322E+00. MathL.sqrt(-1.4000000000000D+000): 1.18321595661992D+000
Math.sqrt(-1.5000E+00): 1.22474E+00. MathL.sqrt(-1.5000000000000D+000): 1.22474487139159D+000 Math.sqrt(-1.5000E+00): 1.22474E+00. MathL.sqrt(-1.5000000000000D+000): 1.22474487139159D+000
Math.sqrt(-1.6000E+00): 1.26491E+00. MathL.sqrt(-1.6000000000000D+000): 1.26491106406735D+000 Math.sqrt(-1.6000E+00): 1.26491E+00. MathL.sqrt(-1.6000000000000D+000): 1.26491106406735D+000
@ -80,113 +80,113 @@ Math.ln(2.40000E+00): 8.75469E-01. MathL.ln(2.40000000000000D+000): 8.754687373
Math.ln(2.50000E+00): 9.16291E-01. MathL.ln(2.50000000000000D+000): 9.16290731874155D-001 Math.ln(2.50000E+00): 9.16291E-01. MathL.ln(2.50000000000000D+000): 9.16290731874155D-001
Math.ln(3.00000E+00): 1.09861E+00. MathL.ln(3.00000000000000D+000): 1.09861228866811D+000 Math.ln(3.00000E+00): 1.09861E+00. MathL.ln(3.00000000000000D+000): 1.09861228866811D+000
Math.ln(4.00000E+00): 1.38629E+00. MathL.ln(4.00000000000000D+000): 1.38629436111989D+000 Math.ln(4.00000E+00): 1.38629E+00. MathL.ln(4.00000000000000D+000): 1.38629436111989D+000
Math.ln(-9.0000E-01): -3.40282E+38. MathL.ln(-9.0000000000000D-001): -1.79769296342094D+308 Math.ln(-9.0000E-01): -3.40282E+38. MathL.ln(-9.0000000000000D-001): -1.79769313486232D+308
Math.ln(-1.0000E+00): -3.40282E+38. MathL.ln(-1.0000000000000D+000): -1.79769296342094D+308 Math.ln(-1.0000E+00): -3.40282E+38. MathL.ln(-1.0000000000000D+000): -1.79769313486232D+308
Math.ln(-1.4000E+00): -3.40282E+38. MathL.ln(-1.4000000000000D+000): -1.79769296342094D+308 Math.ln(-1.4000E+00): -3.40282E+38. MathL.ln(-1.4000000000000D+000): -1.79769313486232D+308
Math.ln(-1.5000E+00): -3.40282E+38. MathL.ln(-1.5000000000000D+000): -1.79769296342094D+308 Math.ln(-1.5000E+00): -3.40282E+38. MathL.ln(-1.5000000000000D+000): -1.79769313486232D+308
Math.ln(-1.6000E+00): -3.40282E+38. MathL.ln(-1.6000000000000D+000): -1.79769296342094D+308 Math.ln(-1.6000E+00): -3.40282E+38. MathL.ln(-1.6000000000000D+000): -1.79769313486232D+308
Math.ln(-1.9000E+00): -3.40282E+38. MathL.ln(-1.9000000000000D+000): -1.79769296342094D+308 Math.ln(-1.9000E+00): -3.40282E+38. MathL.ln(-1.9000000000000D+000): -1.79769313486232D+308
Math.ln(-2.0000E+00): -3.40282E+38. MathL.ln(-2.0000000000000D+000): -1.79769296342094D+308 Math.ln(-2.0000E+00): -3.40282E+38. MathL.ln(-2.0000000000000D+000): -1.79769313486232D+308
Math.ln(-2.4000E+00): -3.40282E+38. MathL.ln(-2.4000000000000D+000): -1.79769296342094D+308 Math.ln(-2.4000E+00): -3.40282E+38. MathL.ln(-2.4000000000000D+000): -1.79769313486232D+308
Math.ln(-2.5000E+00): -3.40282E+38. MathL.ln(-2.5000000000000D+000): -1.79769296342094D+308 Math.ln(-2.5000E+00): -3.40282E+38. MathL.ln(-2.5000000000000D+000): -1.79769313486232D+308
Math.ln(-3.0000E+00): -3.40282E+38. MathL.ln(-3.0000000000000D+000): -1.79769296342094D+308 Math.ln(-3.0000E+00): -3.40282E+38. MathL.ln(-3.0000000000000D+000): -1.79769313486232D+308
Math.ln(-4.0000E+00): -3.40282E+38. MathL.ln(-4.0000000000000D+000): -1.79769296342094D+308 Math.ln(-4.0000E+00): -3.40282E+38. MathL.ln(-4.0000000000000D+000): -1.79769313486232D+308
Math.sin(0.00000E+00): 0.00000E+00. MathL.sin(0.00000000000000D+000): 0.00000000000000D+000 Math.sin(0.00000E+00): 0.00000E+00. MathL.sin(0.00000000000000D+000): 0.00000000000000D+000
Math.sin(1.00000E-01): 9.98334E-02. MathL.sin(1.00000000000000D-001): 9.98334166468282D-002 Math.sin(1.00000E-01): 9.98334E-02. MathL.sin(1.00000000000000D-001): 9.98334166468282D-002
Math.sin(1.04720E+00): 8.66025E-01. MathL.sin(1.04719755119660D+000): 8.66025403784440D-001 Math.sin(1.04720E+00): 8.66025E-01. MathL.sin(1.04719755119660D+000): 8.66025403784439D-001
Math.sin(1.57080E+00): 1.00000E+00. MathL.sin(1.57079632679490D+000): 9.99999999999999D-001 Math.sin(1.57080E+00): 1.00000E+00. MathL.sin(1.57079632679490D+000): 1.00000000000000D+000
Math.sin(3.14159E+00): -3.10862E-15. MathL.sin(3.14159265358979D+000): 3.23108679839857D-015 Math.sin(3.14159E+00): -8.74228E-08. MathL.sin(3.14159265358979D+000): 1.22464023514027D-016
Math.sin(-1.0472E+00): -8.66025E-01. MathL.sin(-1.0471975511966D+000): -8.6602540378444D-001 Math.sin(-1.0472E+00): -8.66025E-01. MathL.sin(-1.0471975511966D+000): -8.66025403784439D-001
Math.sin(-1.5708E+00): -1.0000E+00. MathL.sin(-1.5707963267949D+000): -9.99999999999999D-001 Math.sin(-1.5708E+00): -1.0000E+00. MathL.sin(-1.5707963267949D+000): -1.0000000000000D+000
Math.sin(-3.14159E+00): 3.10862E-15. MathL.sin(-3.14159265358979D+000): -3.23108679839857D-015 Math.sin(-3.14159E+00): 8.74228E-08. MathL.sin(-3.14159265358979D+000): -1.22464023514027D-016
Math.cos(0.00000E+00): 1.00000E+00. MathL.cos(0.00000000000000D+000): 9.99999999999999D-001 Math.cos(0.00000E+00): 1.00000E+00. MathL.cos(0.00000000000000D+000): 1.00000000000000D+000
Math.cos(1.00000E-01): 9.95004E-01. MathL.cos(1.00000000000000D-001): 9.95004165278025D-001 Math.cos(1.00000E-01): 9.95004E-01. MathL.cos(1.00000000000000D-001): 9.95004165278026D-001
Math.cos(1.04720E+00): 5.00000E-01. MathL.cos(1.04719755119660D+000): 4.99999999999998D-001 Math.cos(1.04720E+00): 5.00000E-01. MathL.cos(1.04719755119660D+000): 5.00000000000000D-001
Math.cos(1.57080E+00): -1.55431E-15. MathL.cos(1.57079632679490D+000): -3.49148251407644D-015 Math.cos(1.57080E+00): -4.37114E-08. MathL.cos(1.57079632679490D+000): 6.12320117570134D-017
Math.cos(3.14159E+00): -1.0000E+00. MathL.cos(3.14159265358979D+000): -9.99999999999999D-001 Math.cos(3.14159E+00): -1.0000E+00. MathL.cos(3.14159265358979D+000): -1.0000000000000D+000
Math.cos(-1.0472E+00): 5.00000E-01. MathL.cos(-1.0471975511966D+000): 4.99999999999998D-001 Math.cos(-1.0472E+00): 5.00000E-01. MathL.cos(-1.0471975511966D+000): 5.00000000000000D-001
Math.cos(-1.5708E+00): -1.55431E-15. MathL.cos(-1.5707963267949D+000): -3.49148251407644D-015 Math.cos(-1.5708E+00): -4.37114E-08. MathL.cos(-1.5707963267949D+000): 6.12320117570134D-017
Math.cos(-3.14159E+00): -1.0000E+00. MathL.cos(-3.14159265358979D+000): -9.99999999999999D-001 Math.cos(-3.14159E+00): -1.0000E+00. MathL.cos(-3.14159265358979D+000): -1.0000000000000D+000
Math.tan(0.00000E+00): 0.00000E+00. MathL.tan(0.00000000000000D+000): 0.00000000000000D+000 Math.tan(0.00000E+00): 0.00000E+00. MathL.tan(0.00000000000000D+000): 0.00000000000000D+000
Math.tan(1.00000E-01): 1.00335E-01. MathL.tan(1.00000000000000D-001): 1.00334672085451D-001 Math.tan(1.00000E-01): 1.00335E-01. MathL.tan(1.00000000000000D-001): 1.00334672085451D-001
Math.tan(1.04720E+00): 1.73205E+00. MathL.tan(1.04719755119660D+000): 1.73205080756888D+000 Math.tan(1.04720E+00): 1.73205E+00. MathL.tan(1.04719755119660D+000): 1.73205080756888D+000
Math.tan(1.57080E+00): 3.00240E+14. MathL.tan(1.57079632679490D+000): 2.02340838177263D+007 Math.tan(1.57080E+00): -2.28773E+07. MathL.tan(1.57079632679490D+000): 1.63313268877772D+016
Math.tan(3.14159E+00): -6.66134E-15. MathL.tan(3.14159265358979D+000): 3.23108679839857D-015 Math.tan(3.14159E+00): 8.74228E-08. MathL.tan(3.14159265358979D+000): -1.22464023514027D-016
Math.tan(-1.0472E+00): -1.73205E+00. MathL.tan(-1.0471975511966D+000): -1.73205080756888D+000 Math.tan(-1.0472E+00): -1.73205E+00. MathL.tan(-1.0471975511966D+000): -1.73205080756888D+000
Math.tan(-1.5708E+00): -3.0024E+14. MathL.tan(-1.5707963267949D+000): -2.02340838177263D+007 Math.tan(-1.5708E+00): 2.28773E+07. MathL.tan(-1.5707963267949D+000): -1.63313268877772D+016
Math.tan(-3.14159E+00): 6.66134E-15. MathL.tan(-3.14159265358979D+000): -3.23108679839857D-015 Math.tan(-3.14159E+00): -8.74228E-08. MathL.tan(-3.14159265358979D+000): 1.22464023514027D-016
Math.arcsin(9.00000E-01): -4.51027E-01. MathL.arcsin(9.00000000000000D-001): 1.11976951499864D+000 Math.arcsin(9.00000E-01): 1.11977E+00. MathL.arcsin(9.00000000000000D-001): 1.11976951499863D+000
Math.arcsin(1.00000E+00): -0.0000E+00. MathL.arcsin(1.00000000000000D+000): 1.57079632679490D+000 Math.arcsin(1.00000E+00): 1.57080E+00. MathL.arcsin(1.00000000000000D+000): 1.57079632679490D+000
Math.arcsin(1.40000E+00): 3.40282E+38. MathL.arcsin(1.40000000000000D+000): 1.79769296342094D+308 Math.arcsin(1.40000E+00): 3.40282E+38. MathL.arcsin(1.40000000000000D+000): 1.79769313486232D+308
Math.arcsin(1.50000E+00): 3.40282E+38. MathL.arcsin(1.50000000000000D+000): 1.79769296342094D+308 Math.arcsin(1.50000E+00): 3.40282E+38. MathL.arcsin(1.50000000000000D+000): 1.79769313486232D+308
Math.arcsin(1.60000E+00): 3.40282E+38. MathL.arcsin(1.60000000000000D+000): 1.79769296342094D+308 Math.arcsin(1.60000E+00): 3.40282E+38. MathL.arcsin(1.60000000000000D+000): 1.79769313486232D+308
Math.arcsin(1.90000E+00): 3.40282E+38. MathL.arcsin(1.90000000000000D+000): 1.79769296342094D+308 Math.arcsin(1.90000E+00): 3.40282E+38. MathL.arcsin(1.90000000000000D+000): 1.79769313486232D+308
Math.arcsin(2.00000E+00): 3.40282E+38. MathL.arcsin(2.00000000000000D+000): 1.79769296342094D+308 Math.arcsin(2.00000E+00): 3.40282E+38. MathL.arcsin(2.00000000000000D+000): 1.79769313486232D+308
Math.arcsin(2.40000E+00): 3.40282E+38. MathL.arcsin(2.40000000000000D+000): 1.79769296342094D+308 Math.arcsin(2.40000E+00): 3.40282E+38. MathL.arcsin(2.40000000000000D+000): 1.79769313486232D+308
Math.arcsin(2.50000E+00): 3.40282E+38. MathL.arcsin(2.50000000000000D+000): 1.79769296342094D+308 Math.arcsin(2.50000E+00): 3.40282E+38. MathL.arcsin(2.50000000000000D+000): 1.79769313486232D+308
Math.arcsin(3.00000E+00): 3.40282E+38. MathL.arcsin(3.00000000000000D+000): 1.79769296342094D+308 Math.arcsin(3.00000E+00): 3.40282E+38. MathL.arcsin(3.00000000000000D+000): 1.79769313486232D+308
Math.arcsin(4.00000E+00): 3.40282E+38. MathL.arcsin(4.00000000000000D+000): 1.79769296342094D+308 Math.arcsin(4.00000E+00): 3.40282E+38. MathL.arcsin(4.00000000000000D+000): 1.79769313486232D+308
Math.arcsin(-9.0000E-01): -4.51027E-01. MathL.arcsin(-9.0000000000000D-001): -1.11976951499864D+000 Math.arcsin(-9.0000E-01): -1.11977E+00. MathL.arcsin(-9.0000000000000D-001): -1.11976951499863D+000
Math.arcsin(-1.0000E+00): -0.0000E+00. MathL.arcsin(-1.0000000000000D+000): -1.5707963267949D+000 Math.arcsin(-1.0000E+00): -1.5708E+00. MathL.arcsin(-1.0000000000000D+000): -1.5707963267949D+000
Math.arcsin(-1.4000E+00): 3.40282E+38. MathL.arcsin(-1.4000000000000D+000): 1.79769296342094D+308 Math.arcsin(-1.4000E+00): 3.40282E+38. MathL.arcsin(-1.4000000000000D+000): 1.79769313486232D+308
Math.arcsin(-1.5000E+00): 3.40282E+38. MathL.arcsin(-1.5000000000000D+000): 1.79769296342094D+308 Math.arcsin(-1.5000E+00): 3.40282E+38. MathL.arcsin(-1.5000000000000D+000): 1.79769313486232D+308
Math.arcsin(-1.6000E+00): 3.40282E+38. MathL.arcsin(-1.6000000000000D+000): 1.79769296342094D+308 Math.arcsin(-1.6000E+00): 3.40282E+38. MathL.arcsin(-1.6000000000000D+000): 1.79769313486232D+308
Math.arcsin(-1.9000E+00): 3.40282E+38. MathL.arcsin(-1.9000000000000D+000): 1.79769296342094D+308 Math.arcsin(-1.9000E+00): 3.40282E+38. MathL.arcsin(-1.9000000000000D+000): 1.79769313486232D+308
Math.arcsin(-2.0000E+00): 3.40282E+38. MathL.arcsin(-2.0000000000000D+000): 1.79769296342094D+308 Math.arcsin(-2.0000E+00): 3.40282E+38. MathL.arcsin(-2.0000000000000D+000): 1.79769313486232D+308
Math.arcsin(-2.4000E+00): 3.40282E+38. MathL.arcsin(-2.4000000000000D+000): 1.79769296342094D+308 Math.arcsin(-2.4000E+00): 3.40282E+38. MathL.arcsin(-2.4000000000000D+000): 1.79769313486232D+308
Math.arcsin(-2.5000E+00): 3.40282E+38. MathL.arcsin(-2.5000000000000D+000): 1.79769296342094D+308 Math.arcsin(-2.5000E+00): 3.40282E+38. MathL.arcsin(-2.5000000000000D+000): 1.79769313486232D+308
Math.arcsin(-3.0000E+00): 3.40282E+38. MathL.arcsin(-3.0000000000000D+000): 1.79769296342094D+308 Math.arcsin(-3.0000E+00): 3.40282E+38. MathL.arcsin(-3.0000000000000D+000): 1.79769313486232D+308
Math.arcsin(-4.0000E+00): 3.40282E+38. MathL.arcsin(-4.0000000000000D+000): 1.79769296342094D+308 Math.arcsin(-4.0000E+00): 3.40282E+38. MathL.arcsin(-4.0000000000000D+000): 1.79769313486232D+308
Math.arccos(9.00000E-01): -4.51027E-01. MathL.arccos(9.00000000000000D-001): 4.51026811796263D-001 Math.arccos(9.00000E-01): 4.51027E-01. MathL.arccos(9.00000000000000D-001): 4.51026811796262D-001
Math.arccos(1.00000E+00): -0.0000E+00. MathL.arccos(1.00000000000000D+000): 0.00000000000000D+000 Math.arccos(1.00000E+00): 0.00000E+00. MathL.arccos(1.00000000000000D+000): 0.00000000000000D+000
Math.arccos(1.40000E+00): 3.40282E+38. MathL.arccos(1.40000000000000D+000): 1.79769296342094D+308 Math.arccos(1.40000E+00): 3.40282E+38. MathL.arccos(1.40000000000000D+000): 1.79769313486232D+308
Math.arccos(1.50000E+00): 3.40282E+38. MathL.arccos(1.50000000000000D+000): 1.79769296342094D+308 Math.arccos(1.50000E+00): 3.40282E+38. MathL.arccos(1.50000000000000D+000): 1.79769313486232D+308
Math.arccos(1.60000E+00): 3.40282E+38. MathL.arccos(1.60000000000000D+000): 1.79769296342094D+308 Math.arccos(1.60000E+00): 3.40282E+38. MathL.arccos(1.60000000000000D+000): 1.79769313486232D+308
Math.arccos(1.90000E+00): 3.40282E+38. MathL.arccos(1.90000000000000D+000): 1.79769296342094D+308 Math.arccos(1.90000E+00): 3.40282E+38. MathL.arccos(1.90000000000000D+000): 1.79769313486232D+308
Math.arccos(2.00000E+00): 3.40282E+38. MathL.arccos(2.00000000000000D+000): 1.79769296342094D+308 Math.arccos(2.00000E+00): 3.40282E+38. MathL.arccos(2.00000000000000D+000): 1.79769313486232D+308
Math.arccos(2.40000E+00): 3.40282E+38. MathL.arccos(2.40000000000000D+000): 1.79769296342094D+308 Math.arccos(2.40000E+00): 3.40282E+38. MathL.arccos(2.40000000000000D+000): 1.79769313486232D+308
Math.arccos(2.50000E+00): 3.40282E+38. MathL.arccos(2.50000000000000D+000): 1.79769296342094D+308 Math.arccos(2.50000E+00): 3.40282E+38. MathL.arccos(2.50000000000000D+000): 1.79769313486232D+308
Math.arccos(3.00000E+00): 3.40282E+38. MathL.arccos(3.00000000000000D+000): 1.79769296342094D+308 Math.arccos(3.00000E+00): 3.40282E+38. MathL.arccos(3.00000000000000D+000): 1.79769313486232D+308
Math.arccos(4.00000E+00): 3.40282E+38. MathL.arccos(4.00000000000000D+000): 1.79769296342094D+308 Math.arccos(4.00000E+00): 3.40282E+38. MathL.arccos(4.00000000000000D+000): 1.79769313486232D+308
Math.arccos(-9.0000E-01): -4.51027E-01. MathL.arccos(-9.0000000000000D-001): 2.69056584179353D+000 Math.arccos(-9.0000E-01): 2.69057E+00. MathL.arccos(-9.0000000000000D-001): 2.69056584179353D+000
Math.arccos(-1.0000E+00): -0.0000E+00. MathL.arccos(-1.0000000000000D+000): 3.14159265358979D+000 Math.arccos(-1.0000E+00): 3.14159E+00. MathL.arccos(-1.0000000000000D+000): 3.14159265358979D+000
Math.arccos(-1.4000E+00): 3.40282E+38. MathL.arccos(-1.4000000000000D+000): 1.79769296342094D+308 Math.arccos(-1.4000E+00): 3.40282E+38. MathL.arccos(-1.4000000000000D+000): 1.79769313486232D+308
Math.arccos(-1.5000E+00): 3.40282E+38. MathL.arccos(-1.5000000000000D+000): 1.79769296342094D+308 Math.arccos(-1.5000E+00): 3.40282E+38. MathL.arccos(-1.5000000000000D+000): 1.79769313486232D+308
Math.arccos(-1.6000E+00): 3.40282E+38. MathL.arccos(-1.6000000000000D+000): 1.79769296342094D+308 Math.arccos(-1.6000E+00): 3.40282E+38. MathL.arccos(-1.6000000000000D+000): 1.79769313486232D+308
Math.arccos(-1.9000E+00): 3.40282E+38. MathL.arccos(-1.9000000000000D+000): 1.79769296342094D+308 Math.arccos(-1.9000E+00): 3.40282E+38. MathL.arccos(-1.9000000000000D+000): 1.79769313486232D+308
Math.arccos(-2.0000E+00): 3.40282E+38. MathL.arccos(-2.0000000000000D+000): 1.79769296342094D+308 Math.arccos(-2.0000E+00): 3.40282E+38. MathL.arccos(-2.0000000000000D+000): 1.79769313486232D+308
Math.arccos(-2.4000E+00): 3.40282E+38. MathL.arccos(-2.4000000000000D+000): 1.79769296342094D+308 Math.arccos(-2.4000E+00): 3.40282E+38. MathL.arccos(-2.4000000000000D+000): 1.79769313486232D+308
Math.arccos(-2.5000E+00): 3.40282E+38. MathL.arccos(-2.5000000000000D+000): 1.79769296342094D+308 Math.arccos(-2.5000E+00): 3.40282E+38. MathL.arccos(-2.5000000000000D+000): 1.79769313486232D+308
Math.arccos(-3.0000E+00): 3.40282E+38. MathL.arccos(-3.0000000000000D+000): 1.79769296342094D+308 Math.arccos(-3.0000E+00): 3.40282E+38. MathL.arccos(-3.0000000000000D+000): 1.79769313486232D+308
Math.arccos(-4.0000E+00): 3.40282E+38. MathL.arccos(-4.0000000000000D+000): 1.79769296342094D+308 Math.arccos(-4.0000E+00): 3.40282E+38. MathL.arccos(-4.0000000000000D+000): 1.79769313486232D+308
Math.arctan(9.00000E-01): 7.32815E-01. MathL.arctan(9.00000000000000D-001): 7.32815101786508D-001 Math.arctan(9.00000E-01): 7.32815E-01. MathL.arctan(9.00000000000000D-001): 7.32815101786507D-001
Math.arctan(1.00000E+00): 7.85398E-01. MathL.arctan(1.00000000000000D+000): 7.85398163397449D-001 Math.arctan(1.00000E+00): 7.85398E-01. MathL.arctan(1.00000000000000D+000): 7.85398163397448D-001
Math.arctan(1.40000E+00): 9.50547E-01. MathL.arctan(1.40000000000000D+000): 9.50546840812077D-001 Math.arctan(1.40000E+00): 9.50547E-01. MathL.arctan(1.40000000000000D+000): 9.50546840812075D-001
Math.arctan(1.50000E+00): 9.82794E-01. MathL.arctan(1.50000000000000D+000): 9.82793723247331D-001 Math.arctan(1.50000E+00): 9.82794E-01. MathL.arctan(1.50000000000000D+000): 9.82793723247329D-001
Math.arctan(1.60000E+00): 1.01220E+00. MathL.arctan(1.60000000000000D+000): 1.01219701145134D+000 Math.arctan(1.60000E+00): 1.01220E+00. MathL.arctan(1.60000000000000D+000): 1.01219701145133D+000
Math.arctan(1.90000E+00): 1.08632E+00. MathL.arctan(1.90000000000000D+000): 1.08631839775788D+000 Math.arctan(1.90000E+00): 1.08632E+00. MathL.arctan(1.90000000000000D+000): 1.08631839775787D+000
Math.arctan(2.00000E+00): 1.10715E+00. MathL.arctan(2.00000000000000D+000): 1.10714871779409D+000 Math.arctan(2.00000E+00): 1.10715E+00. MathL.arctan(2.00000000000000D+000): 1.10714871779409D+000
Math.arctan(2.40000E+00): 1.17601E+00. MathL.arctan(2.40000000000000D+000): 1.17600520709514D+000 Math.arctan(2.40000E+00): 1.17601E+00. MathL.arctan(2.40000000000000D+000): 1.17600520709514D+000
Math.arctan(2.50000E+00): 1.19029E+00. MathL.arctan(2.50000000000000D+000): 1.19028994968253D+000 Math.arctan(2.50000E+00): 1.19029E+00. MathL.arctan(2.50000000000000D+000): 1.19028994968253D+000
Math.arctan(3.00000E+00): 1.24905E+00. MathL.arctan(3.00000000000000D+000): 1.24904577239826D+000 Math.arctan(3.00000E+00): 1.24905E+00. MathL.arctan(3.00000000000000D+000): 1.24904577239825D+000
Math.arctan(4.00000E+00): 1.32582E+00. MathL.arctan(4.00000000000000D+000): 1.32581766366804D+000 Math.arctan(4.00000E+00): 1.32582E+00. MathL.arctan(4.00000000000000D+000): 1.32581766366803D+000
Math.arctan(-9.0000E-01): -7.32815E-01. MathL.arctan(-9.0000000000000D-001): -7.32815101786508D-001 Math.arctan(-9.0000E-01): -7.32815E-01. MathL.arctan(-9.0000000000000D-001): -7.32815101786507D-001
Math.arctan(-1.0000E+00): -7.85398E-01. MathL.arctan(-1.0000000000000D+000): -7.85398163397449D-001 Math.arctan(-1.0000E+00): -7.85398E-01. MathL.arctan(-1.0000000000000D+000): -7.85398163397448D-001
Math.arctan(-1.4000E+00): -9.50547E-01. MathL.arctan(-1.4000000000000D+000): -9.50546840812077D-001 Math.arctan(-1.4000E+00): -9.50547E-01. MathL.arctan(-1.4000000000000D+000): -9.50546840812075D-001
Math.arctan(-1.5000E+00): -9.82794E-01. MathL.arctan(-1.5000000000000D+000): -9.82793723247331D-001 Math.arctan(-1.5000E+00): -9.82794E-01. MathL.arctan(-1.5000000000000D+000): -9.82793723247329D-001
Math.arctan(-1.6000E+00): -1.0122E+00. MathL.arctan(-1.6000000000000D+000): -1.01219701145134D+000 Math.arctan(-1.6000E+00): -1.0122E+00. MathL.arctan(-1.6000000000000D+000): -1.01219701145133D+000
Math.arctan(-1.9000E+00): -1.08632E+00. MathL.arctan(-1.9000000000000D+000): -1.08631839775788D+000 Math.arctan(-1.9000E+00): -1.08632E+00. MathL.arctan(-1.9000000000000D+000): -1.08631839775787D+000
Math.arctan(-2.0000E+00): -1.10715E+00. MathL.arctan(-2.0000000000000D+000): -1.10714871779409D+000 Math.arctan(-2.0000E+00): -1.10715E+00. MathL.arctan(-2.0000000000000D+000): -1.10714871779409D+000
Math.arctan(-2.4000E+00): -1.17601E+00. MathL.arctan(-2.4000000000000D+000): -1.17600520709514D+000 Math.arctan(-2.4000E+00): -1.17601E+00. MathL.arctan(-2.4000000000000D+000): -1.17600520709514D+000
Math.arctan(-2.5000E+00): -1.19029E+00. MathL.arctan(-2.5000000000000D+000): -1.19028994968253D+000 Math.arctan(-2.5000E+00): -1.19029E+00. MathL.arctan(-2.5000000000000D+000): -1.19028994968253D+000
Math.arctan(-3.0000E+00): -1.24905E+00. MathL.arctan(-3.0000000000000D+000): -1.24904577239826D+000 Math.arctan(-3.0000E+00): -1.24905E+00. MathL.arctan(-3.0000000000000D+000): -1.24904577239825D+000
Math.arctan(-4.0000E+00): -1.32582E+00. MathL.arctan(-4.0000000000000D+000): -1.32581766366804D+000 Math.arctan(-4.0000E+00): -1.32582E+00. MathL.arctan(-4.0000000000000D+000): -1.32581766366803D+000
Math.sinh(9.00000E-01): 1.02652E+00. MathL.sinh(9.00000000000000D-001): 1.02651672570818D+000 Math.sinh(9.00000E-01): 1.02652E+00. MathL.sinh(9.00000000000000D-001): 1.02651672570818D+000
Math.sinh(1.00000E+00): 1.17520E+00. MathL.sinh(1.00000000000000D+000): 1.17520119364380D+000 Math.sinh(1.00000E+00): 1.17520E+00. MathL.sinh(1.00000000000000D+000): 1.17520119364380D+000