## StrD and Rounding

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Cyllceaux
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### StrD and Rounding

Code: Select all

``````Define val1.d=ValD("83.23195000000001")
Define val2.d=ValD("83.23195")

Debug StrD(val1,4) ; 83.2320
Debug StrD(val2,4) ; 83.2319

Debug FormatNumber(val1,4) ; 83.2320
Debug FormatNumber(val2,4) ; 83.2319
``````
both should rounding up
Last edited by Cyllceaux on Tue Feb 20, 2024 3:21 pm, edited 1 time in total.
STARGÅTE
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### Re: StrD and Rounding

Cyllceaux wrote: Tue Feb 20, 2024 3:05 pm both should rounding up
No, they shouldn't. No bug!
The number created by ValD("83.23195") is 83.2319499999999980, because 83.23195 cannot be represented in as binary number.
Rounding here at the fourth digit gives 2319.

Code: Select all

``````Define val1.d=ValD("83.23195000000001")
Define val2.d=ValD("83.23195")

Debug StrD(val1,16) ; 83.2319500000000120
Debug StrD(val2,16) ; 83.2319499999999980

Debug StrD(val1,4) ; 83.2320
Debug StrD(val2,4) ; 83.2319``````
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Cyllceaux
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### Re: StrD and Rounding

Sooo....

How Can I make them round up... I mean a mathematic round?
I cant use the pb function "round", cause it hat no decimal places.

So... maybe no bug, but a missing feature?

And... 0.049 should still rounding up. 49 -> 5 and 5 is rounding up
STARGÅTE
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### Re: StrD and Rounding

The "problem" is that your number 83.23195 do not exist in the computer system, just in you mind.
At the moment you enter this number, the number is already "clipped" to 83.231949999999998, because it is the nearest number to 83.23195 which can be represented by a computer (for 64 bit floats).

The only chance is, to perform the rounding you wish in the string representation.
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Fred
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### Re: StrD and Rounding

One trick to round up is to add 0.5 so it might also work for lower decimals (but I can't warranty it):

Code: Select all

``````Define val1.d=ValD("83.23195000000001")
Define val2.d=ValD("83.23195")

Debug StrD(val1+0.00005,4) ; 83.2320
Debug StrD(val2+0.00005,4) ; 83.2319

Debug FormatNumber(val1+0.00005,4) ; 83.2320
Debug FormatNumber(val2+0.00005,4) ; 83.2319``````
Cyllceaux
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### Re: StrD and Rounding

Maybe StrD and FormaNumber should get a rounding Flag.

The numbers are from a customer project to calculate various liquids. This can be quite dangerous in chemistry and biology. We just came across it by chance.
The numbers are absorbance values of a skin sample via a MALDI mass spectrometer. They are read in as strings. This is the top data. Evaluations are then carried out.

This Workaround workes, but it is still a workaround.
DarkDragon
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### Re: StrD and Rounding

Cyllceaux wrote: Tue Feb 20, 2024 3:20 pm And... 0.049 should still rounding up. 49 -> 5 and 5 is rounding up
Wrong. You don't apply rounding recursively from the least significant to most significant digit.
bye,
Daniel
skywalk
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### Re: StrD and Rounding

This is a problem of scale.
You should use fixed point math for picoliters(e-12) and milliliters(e-3), etc.
The nice thing about standards is there are so many to choose from. ~ Andrew Tanenbaum
STARGÅTE
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### Re: StrD and Rounding

Cyllceaux wrote: Tue Feb 20, 2024 3:48 pm Maybe StrD and FormaNumber should get a rounding Flag.
What kind of flag do you mean?

In principle StrD works correct. If you have a number like 83.03125, this number is exact, also in binary format.
Therefore StrD(Val, 4) gives correctly 83.0313 (rounding up).

Code: Select all

``````Define Val.d = 83.03125

Debug StrD(Val, 4)``````
In programming language it is not always possible to perform "correct math".
Here an illustrative examples. Let be Val.d = 0.4 and then perform 3*Val - 0.8
You might think, 3*0.4-0.8 = 1.2-0.8 = 0.4, so performing this again and again should always result in 0.4.
But this isn't the case:

Code: Select all

``````Define Val.d = 0.4

For n = 1 To 35
Debug StrD(Val)
Val = 3*Val - 0.8  ; 3*0.4 - 0.8 = 1.2 - 0.8 = 0.4
Next
``````
The calculation drifts away, because 0.4 as well as 0.8 cannot be represented in binary format and the error potentiates each time.

Therefore skywalk is right, and precise calculations should be performed in a different unit.
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skywalk
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### Re: StrD and Rounding

Interesting example though I have not seen runaway as high as that with my typical floating point math.
I do get burned when doing lazy trigonometry on small shapes on a canvasgadget.
Scaling really saves the day.
Simple scaling applied to STARGATE's example:

Code: Select all

``````#ML_SF = 10000
Define.i i
Define.d v   = 0.4
Define.d vx  = 0.8
Define.q vi  = 0.4 * #ML_SF
Define.q vxi = 0.8 * #ML_SF
Debug "-- doubles --"
For i = 1 To 32
Debug Str(i) + ", " + StrD(v)
v = 3*v - vx     ; 3*0.4 - 0.8 = 1.2 - 0.8 = 0.4
Next i
Debug StrD(v)
Debug "-- scaled --"
For i = 1 To 32
Debug Str(i) + ", " + StrD(vi)
vi = 3*vi - vxi  ; 3*0.4 - 0.8 = 1.2 - 0.8 = 0.4
Next i
Debug StrD(vi/#ML_SF)``````
The nice thing about standards is there are so many to choose from. ~ Andrew Tanenbaum
jacdelad
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### Re: StrD and Rounding

@Cyllceaux: How about using a Quad and move the comma?
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Cyllceaux
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### Re: StrD and Rounding

My problem is... the "old" systems (Delphi, python and java) don't have problems with double. OK... java has the same problem, but there I can change to BigDecimal and this works. But I don't want to use java.

So I think I will create a Module for doing this.
@jacelad: I thought about it and I will try something
@skywalk and STARGATE: thx for the clearing. My problem is, the old systems have no problems with converting and Math-Rounding. And the new Software has the have the same results. So yeah, I will try to build something.
STARGÅTE
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### Re: StrD and Rounding

Cyllceaux wrote: Wed Feb 21, 2024 12:16 pm My problem is... the "old" systems (Delphi, python and java) don't have problems with double.
[...]
@skywalk and STARGATE: thx for the clearing. My problem is, the old systems have no problems with converting and Math-Rounding. And the new Software has the have the same results. So yeah, I will try to build something.
They haven't?
The math of a computer is universal. All languages use the same number system, when they use IEEE doubles.
Here the same "issue" in Python:

Code: Select all

``````val = 83.23195
print(val)
print(format(val, ".4f"))
print(round(val, 4))``````
83.23195
83.2319
83.2319
Also the Pure Basic community has published some includes and modules for math with fixed-point-numbers or for currency values.
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Cyllceaux
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### Re: StrD and Rounding

I don't know how they do this. I'm the new one to replace these systems
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### Re: StrD and Rounding

STARGÅTE wrote: Tue Feb 20, 2024 9:09 pm

Code: Select all

``````Define Val.d = 0.4

For n = 1 To 35
Debug StrD(Val)
Val = 3*Val - 0.8  ; 3*0.4 - 0.8 = 1.2 - 0.8 = 0.4
Next
``````
The calculation drifts away, because 0.4 as well as 0.8 cannot be represented in binary format and the error potentiates each time.
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