Appendix A Critical Floating-Point Values

Table A-1 contains the hexadecimal and decimal boundary values used in DPML calculations and exception checking.

Table A-1 Hexadecimal and Decimal Boundary Values

Data
Type  Value for: max_float

F     Hexadecimal: FFFF7FFF

G     Hexadecimal: FFFFFFFFFFFF7FFF

S     Hexadecimal: 7F7FFFFF

T     Hexadecimal: 7FEFFFFFFFFFFFFF

X     Hexadecimal: 7FFEFFFFFFFFFFFFFFFFFFFFFFFFFFFF



F     Decimal: 1.701411e38

G     Decimal: 8.988465674311579e307

S     Decimal: 3.402823e38

T     Decimal: 1.797693134862316e308

X     Decimal: 1.189731495357231765085759326628007016196477e4932


Data
Type  Value for: min_float

F     Hexadecimal: 00000080

G     Hexadecimal: 0000000000000010

S     Hexadecimal: 00000001

T     Hexadecimal: 0000000000000001

X     Hexadecimal: 00000000000000000000000000000001



F     Decimal: 2.9387359e-39

G     Decimal: 5.562684646268003e-309

S     Decimal: 1.4012985e-45

T     Decimal: 4.940656458412465e-324

X     Decimal: 6.4751751194380251109244389582276465524996e-4966


Data
Type  Value for: ln(max_float)

F     Hexadecimal: 0F3443B0

G     Hexadecimal: 7B616E3A28B740A6

S     Hexadecimal: 42B17218

T     Hexadecimal: 40862E42FEFA39EF

X     Hexadecimal: 400C62E42FEFA39EF35793C7673007E6



F     Decimal: 88.029692

G     Decimal: 709.0895657128241

S     Decimal: 88.7228391

T     Decimal: 709.7827128933840

X     Decimal: 11356.5234062941439494919310779707648912527


Data
Type  Value for: ln(min_float)

F     Hexadecimal: 7218C3B1

G     Hexadecimal: 39EFFEFA2E42C0A6

S     Hexadecimal: C2CE8ED0

T     Hexadecimal: C0874385446D71C3

X     Hexadecimal: C00C6546282207802C89D24D65E96274



F     Decimal: -88.72284

G     Decimal: -709.7827128933840

S     Decimal: -103.2789

T     Decimal: -744.4400719213813

X     Decimal: -11432.7695961557379335278266113311643138373


Data
Type  Value for: ln(2 * max_float)

F     Hexadecimal: 721843B1

G     Hexadecimal: 39EFFEFA2E4240A6

S     Hexadecimal: 42B2D4FC

T     Hexadecimal: 408633CE8FB9F87E

X     Hexadecimal: 400C62E9BB80635D81D36125B64DA4A6



F     Decimal: 88.72284

G     Decimal: 709.7827128933840

S     Decimal: 89.41599

T     Decimal: 710.4758600739439

X     Decimal: 11357.2165534747038948013483100922230678208


Data
Type  Value for: (180/pi) * min_float

F     Hexadecimal: 2EE10365

G     Hexadecimal: C1F81A63A5DC006C

S     Hexadecimal: 00000039

T     Hexadecimal: 0000000000000039

X     Hexadecimal: 00000000000000000000000000000039



F     Decimal: 1.683772e-37

G     Decimal: 3.187183529933798e-307

S     Decimal: 8.028849e-44

T     Decimal: 2.830787630910868e-322

X     Decimal: 3.71000205951917569316937757202433432154392e-4964


Data
Type  Value for: lgamma_max_float

F     Hexadecimal: 50F97CC6

G     Hexadecimal: F55FC5015ABD7F67

S     Hexadecimal: 7BC650F9

T     Hexadecimal: 7F475ABDC501F55F

X     Hexadecimal: 7FF171AA9917FFFBD7EA44AE6D203DF6



F     Decimal: 2.0594342e36

G     Decimal: 1.2812545499066958e305

S     Decimal: 2.0594342e36

T     Decimal: 1.2812545499066958e305

X     Decimal: 1.0485738685148938358098967157129705040168e4928