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Hyperbolic functions and exponential function
Posted: Mon Nov 12, 2007 10:52 pm
by Psychophanta
Code: Select all
Macro Sinh(x)
((Pow(2,x#/Log(2))-Pow(2,-x#/Log(2)))/2)
EndMacro
Macro Cosh(x)
((Pow(2,x#/Log(2))+Pow(2,-x#/Log(2)))/2)
EndMacro
Macro Tanh(x)
(Sinh(x#)/Cosh(x#))
EndMacro
Macro Cotanh(x)
(Cosh(x#)/Sinh(x#))
EndMacro
Macro Sech(x)
(1/Cosh(x#))
EndMacro
Macro Cosech(x)
(1/Sinh(x#))
EndMacro
Macro exp(x)
(Pow(2,x#/Log(2)))
EndMacro
EDIT: BTW, there looks like AMD bets for maths better performaces for their opterons:
http://developer.amd.com/acml.jsp
Posted: Tue Nov 13, 2007 3:15 pm
by hardfalcon
Give me an Opteron and I'll test that out for you...
Posted: Fri Nov 16, 2007 1:34 am
by chris319
Any chance of these making it into the core language, along with Exp10()? All of the math has been figured out.
Posted: Fri Nov 16, 2007 3:16 am
by kenmo
Nice, I just noticed last week that PB doesn't have a native Exp() command... Thanks.
Posted: Fri Nov 16, 2007 9:37 am
by srod
That's a nice way of calculating Exp(x).
Posted: Fri Nov 16, 2007 10:07 am
by Helle
Look at the precision of exp(x):
- Float exp(10) = 22026.466796875
- Double exp(10) = 22026.465189555718
- Really exp(10) = 22026.4657948067165169579...
For more precision see:
http://www.mdcc-fun.de/k.helbing/HBC/
This is a fun project; many things are to do, the code is dirty (strings)...
But: Have fun
!
Gruss
Helle
Re: Hyperbolic functions and exponential function
Posted: Fri Nov 16, 2007 1:34 pm
by lionel_om
Psychophanta wrote:Replace .f by .d if wanted.
Why don't you have create Macro. By this way, we have not to change the variables types.
Lio
Re: Hyperbolic functions and exponential function
Posted: Fri Nov 16, 2007 3:25 pm
by Psychophanta
lionel_om wrote:Psychophanta wrote:Replace .f by .d if wanted.
Why don't you have create Macro. By this way, we have not to change the variables types.
Lio
Very right!!
Modified at first post
EDIT:
Helle wrote:Look at the precision of exp(x):
- Float exp(10) = 22026.466796875
- Double exp(10) = 22026.465189555718
- Really exp(10) = 22026.4657948067165169579...
For more precision see:
http://www.mdcc-fun.de/k.helbing/HBC/
This is a fun project; many things are to do, the code is dirty (strings)...
But: Have fun
!
Gruss
Helle
wow!! nice calculator. The best i've seen, and in PB is awesome.
However, my functions are faster
, even not with that precision. :roll: