decimal round wrong calculation - mysql

I have the sample following numbers which are stored in an mysql db in the decimal(10,2) format
1499.3927125506 - 1499.39 -> this is how it saved into the database
384.41295546559 - 384.41
278.74493927126 - 278.74
537.44939271255 - 537.45
The actual total before saving into the database is 1700, however after the saving the total becomes 1699.99
How can I make the total 1700 NOT 1699.99?

With numbers like that, you should use DOUBLE, not DECIMAL(.., ..).
(Do not use DOUBLE(.., ..); that will just add to your problems.)

You will need to change your MySQL datatype to match the precision of your data if you want to avoid rounding errors. In your presented data, you will need precision (total digits) of 14 with a scale (digits after decimal) of 10 which would be DECIMAL(14,10) to sum perfectly to 1700.

Related

When to use float vs decimal

I'm building this API, and the database will store values that represent one of the following:
percentage
average
rate
I honestly have no idea how to represent something that the range is between 0 and 100% in numbers. Should it be
0.00 - 1.00
0.00 - 100.00
any other alternative that I don't know
Is there a clear choice for that? A global way of representing on databases something that goes from 0 to 100% percent? Going further, what's the correct that type for it, float or decimal?
Thank you.
I'll take the opposite stance.
FLOAT is for approximate numbers, such as percentages, averages, etc. You should do formatting as you display the values, either in app code or using the FORMAT() function of MySQL.
Don't ever test float_value = 1.3; there are many reasons why that will fail.
DECIMAL should be used for monetary values. DECIMAL avoids a second rounding when a value needs to be rounded to dollars/cents/euros/etc. Accountants don't like fractions of cents.
MySQL's implementation of DECIMAL allows 65 significant digits; FLOAT gives about 7 and DOUBLE about 16. 7 is usually more than enough for sensors and scientific computations.
As for "percentage" -- Sometimes I have used TINYINT UNSIGNED when I want to consume only 1 byte of storage and don't need much precision; sometimes I have used FLOAT (4 bytes). There is no datatype tuned specifically for percentage. (Note also, that DECIMAL(2,0) cannot hold the value 100, so technically you would need DECIMAL(3,0).)
Or sometimes I have used a FLOAT that held a value between 0 and 1. But then I would need to make sure to multiply by 100 before displaying the "percentage".
More
All three of "percentage, average, rate" smell like floats, so that would be my first choice.
One criterion for deciding on datatype... How many copies of the value will exist?
If you have a billion-row table with a column for a percentage, consider that TINYINT would take 1 byte (1GB total), but FLOAT would take 4 bytes (4GB total). OTOH, most applications do not have that many rows, so this may not be relevant.
As a 'general' rule, "exact" values should use some form of INT or DECIMAL. Inexact things (scientific calculations, square roots, division, etc) should use FLOAT (or DOUBLE).
Furthermore, the formatting of the output should usually be left to the application front end. That is, even though an "average" may compute to "14.6666666...", the display should show something like "14.7"; this is friendlier to humans. Meanwhile, you have the underlying value to later decide that "15" or "14.667" is preferable output formatting.
The range "0.00 - 100.00" could be done either with FLOAT and use output formatting or with DECIMAL(5,2) (3 bytes) with the pre-determination that you will always want the indicated precision.
I would generally recommend against using float. Floating point numbers do represent numbers in base-2, which causes some (exact) numbers to be round-up in operations or comparisons, because they just cannot be accurately stored in base-2. This may lead to suprising behaviors.
Consider the following example:
create table t (num float);
insert into t values(1.3);
select * from t;
| num |
| --: |
| 1.3 |
select * from t where num = 1.3;
| num |
| --: |
Base-2 comparison of number 1.3 fails. This is tricky.
In comparison, decimal provide an accurate representation of finite numbers within their range. If you change float to decimal(2, 1) in the above example, you do get the expected results.
I recommend using decimal(5,2) if you're going to store it in the same way you'll display it since decimal is for preserving the exact precision. (See https://dev.mysql.com/doc/refman/8.0/en/fixed-point-types.html)
Because floating-point values are approximate and not stored as exact values, attempts to treat them as exact in comparisons may lead to problems. They are also subject to platform or implementation dependencies.
(https://dev.mysql.com/doc/refman/8.0/en/floating-point-types.html)
A floating-point value as written in an SQL statement may not be the same as the value represented internally.
For DECIMAL columns, MySQL performs operations with a precision of 65 decimal digits, which should solve most common inaccuracy problems.
https://dev.mysql.com/doc/refman/8.0/en/problems-with-float.html
Decimal :
In case of financial applications it is better to use Decimal types because it gives you a high level of accuracy and easy to avoid rounding errors
Double :
Double Types are probably the most normally used data type for real values, except handling money.
Float :
It is used mostly in graphic libraries because very high demands for processing powers, also used situations that can endure rounding errors.
Reference: http://net-informations.com/q/faq/float.html
Difference between float and decimal are the precision. Decimal can 100% accurately represent any number within the precision of the decimal format, whereas Float, cannot accurately represent all numbers.
Use Decimal for e.g. financial related value and use float for e.g. graphical related value
mysql> create table numbers (a decimal(10,2), b float);
mysql> insert into numbers values (100, 100);
mysql> select #a := (a/3), #b := (b/3), #a * 3, #b * 3 from numbers \G
*********************************************************************
#a := (a/3): 33.333333333
#b := (b/3): 33.333333333333
#a + #a + #a: 99.999999999000000000000000000000
#b + #b + #b: 100
The decimal did exactly what's supposed to do on this cases, it
truncated the rest, thus losing the 1/3 part.
So for sums, the decimal is better, but for divisions, the float is
better, up to some point, of course. I mean, using DECIMAL will not give
you "fail-proof arithmetic" in any means.
I hope this will help.
In tsql:
Float, 0.0 store as 0 and it dont require to define after decimal point digit, e.g. you dont need to write Float(4,2).
Decimal, 0.0 store as 0.0 and it has option to define like decimal(4,2), I would suggest 0.00-1.00, by doing this you can calculate value of that percent without multiply by 100, and if you report then set data type of that column as percent as MS Excel and other platform view like 0.5 -> 50%.

problems handling significant digits in mysql converting float to double

I am inserting data from one table into another in a MariaDB database, where the column in the first table is FLOAT, and in the second it's DOUBLE. The data can have values of any size, precision and decimal places.
Here is what happens to the values when I do a straight-forward copy:
INSERT INTO data2 (value) SELECT value FROM data1
The values are given random extra significant figures:
FLOAT in data1 DOUBLE in data2
-0.000000000000454747 -0.0000000000004547473508864641
-122.319 -122.31932830810547
14864199700 14864220160
CAST(value AS DECIMAL(65,30)) generates exactly the same values as col 2 above, except I see trailing zeroes.
Yet when I just do
UPDATE data2 SET value = 14867199700 WHERE id = 133025046;
the DOUBLE value is accepted.
Do I have to export all the value to an SQL script and re-import them? Isn't there a better way?
Despite hours trying to experimenting with the issue, I'm not much closer to a solution, despite its limited nature. I can see this is problem that besets all technologies, not just MariaDB or databases, so I have probably just missed the answer somewhere. Stackoverflow is desperately trying to guide to a solution with new suggestion features I hadn't seen before, but unfortunately they are no help, like the other suggested answers.
Your test case is flawed. You are feeding in decimal digits, and not testing just the transfer of FLOAT to DOUBLE.
UPDATE tbl SET double_col = float_col will always copy exactly the same value. This because the DOUBLE representation is a superset of the FLOAT representation (53 vs 24 bits of precision; etc).
Literal, with decimal places: UPDATE tbl SET double_col = 123.456 will mangle the number because of rounding from decimal to DOUBLE. Ditto for float_col. Furthermore, the mangled results will be different!
Hole number literal: UPDATE tbl SET double_col = 14867199700 will be stored exactly. But if you put that same literal into a FLOAT, it will be rounded to 24 bits, so it cannot be stored exactly. You lose exactness at about 7 significant digits for FLOAT and about 16 for DOUBLE. The literal in this example has 9 significant digits (after ignoring trailing zeros).
That's just a sampling of the nightmares you can get into.
You must consider FLOAT and DOUBLE to be approximate. You should never compare for equality; you don't know what might have messed with the last bit of the value.
Also, you should not try to guess when MySQL will perform expressions in DECIMAL instead of DOUBLE.
And, keep in mind that division is usually imprecise due to rounding to some number of bits or decimals.
The "mantissa" of 14864199700 is
1.10111010111111001101100 (binary of FLOAT : 24 bits including 'hidden' leading bit)
1.1011101011111100110110000000101000000000000000000000 (binary of DOUBLE)
^ ^ (lost in FLOAT)
Each of those is multiplied by the same power of 2. The DOUBLE gets exactly 14864199700. The FLOAT lost the bits pointed to.
You can play around with such at https://gregstoll.dyndns.org/~gregstoll/floattohex/
Believe it or not, things used to be worse. People would be billed for $0.00 -- due to rounding errors. Or results of what should have been 1+1 showed as 1.99999999.

Data Type for storing high precision decimals in MySQL

Similar to this question, I have a CSV of currency rates which up to 9 decimal places accuracy.
For example : 0.558659218 , 4470.011076 , 7.02E-05, 0.000641138, 20832.46989
Which data type should I use for the column ?
I tried FLOAT , DOUBLE and DECIMAL(11,11), they produce one of the following warnings:
Out of range value for column 'column_name' at row X
Value truncated for column 'column_name' at row X
when I use SHOW WARNINGS command.
FYI, The SQL statement is as follow (but I guess it is not related):
LOAD DATA LOCAL INFILE 'currency.csv' INTO TABLE the_currency FIELDS TERMINATED BY ',' LINES TERMINATED BY '\n' (currency_code, currency_buyin, currency_buyout);
Sample data of the CSV is as follow:
PHP,41.46218559,0.024118362
PKR,95.71731228,0.010447431
PLN,3.2056255,0.311951599
PYG,4470.011076,0.000223713
QAR,3.641148462,0.274638623
RON,3.524472347,0.283730415
RSD,87.59544136,0.011416119
RUB,31.41607934,0.031830834
RWF,626.1686594,0.001597014
SAR,3.750383024,0.266639432
SBD,7.130814403,0.140236436
SCR,13.08102784,0.076446592
SDG,4.412494807,0.226629162
SEK,6.683528257,0.149621571
SGD,1.221878378,0.81841206
SHP,0.623503208,1.603840987
SLL,4349.905174,0.00022989
SOS,1615.486542,0.000619009
SPL,0.166666667,6
SRD,3.274628066,0.305378193
STD,18949.99968,5.28E-05
SVC,8.75,0.114285714
MySQL version: 5.5.34-0ubuntu0.12.04.1 and I'm working in console command.
You need DECIMAL(22,11) if you want 11 digits before as well as after the decimal place. DECIMAL(11,11) doesn't have any storage for digits before the decimal place, and is scarcely even valid at all.
For storing decimal or currency values, DECIMAL or NUMERIC (largely equivalent) are the way to go. Conversion rates are conceptually a little bit different -- since occasionally, they could be variable by much wider factors -- but DECIMAL could be a reasonable place to start, since at least it gives you accurate decimal math results.
The alternative would be DOUBLE (FLOAT does not have very good precision), which would allow conversion rates between hyper-inflated currencies to be stored; however, mixing float-point scaling into 'decimal' math requires a well-defined rounding strategy on output.
Decimal is what you need. The parameters are length then decimal places. Decimal(length,decimal place)
Example decimal(4,2) = max value is 99.99
Decimal(6,2) = max value is 9999.99
Hope this helps.

Best data type to store money values in MySQL

I want to store many records in a MySQL database. All of them contains money values. But I don't know how many digits will be inserted for each one.
Which data type do I have to use for this purpose?
VARCHAR or INT (or other numeric data types)?
Since money needs an exact representation don't use data types that are only approximate like float. You can use a fixed-point numeric data type for that like
decimal(15,2)
15 is the precision (total length of value including decimal places)
2 is the number of digits after decimal point
See MySQL Numeric Types:
These types are used when it is important to preserve exact precision, for example with monetary data.
You can use DECIMAL or NUMERIC both are same
The DECIMAL and NUMERIC types store exact numeric data values. These types are used when it is important to preserve exact precision, for example with monetary data. In MySQL, NUMERIC is implemented as DECIMAL, so the following remarks about DECIMAL apply equally to NUMERIC. : MySQL
i.e. DECIMAL(10,2)
Good read
I prefer to use BIGINT, and store the values in by multiply with 100, so that it will become integer.
For e.g., to represent a currency value of 93.49, the value shall be stored as 9349, while displaying the value we can divide by 100 and display. This will occupy less storage space.
Caution:
Mostly we don't perform currency * currency multiplication, in case if we are doing it then divide the result with 100 and store, so that it returns to proper precision.
It depends on your need.
Using DECIMAL(10,2) usually is enough but if you need a little bit more precise values you can set DECIMAL(10,4).
If you work with big values replace 10 with 19.
If your application needs to handle money values up to a trillion then this should work: 13,2
If you need to comply with GAAP (Generally Accepted Accounting Principles) then use: 13,4
Usually you should sum your money values at 13,4 before rounding of the output to 13,2.
At the time this question was asked nobody thought about Bitcoin price. In the case of BTC, it is probably insufficient to use DECIMAL(15,2). If the Bitcoin will rise to $100,000 or more, we will need at least DECIMAL(18,9) to support cryptocurrencies in our apps.
DECIMAL(18,9) takes 12 bytes of space in MySQL (4 bytes per 9 digits).
We use double.
*gasp*
Why?
Because it can represent any 15 digit number with no constraints on where the decimal point is. All for a measly 8 bytes!
So it can represent:
0.123456789012345
123456789012345.0
...and anything in between.
This is useful because we're dealing with global currencies, and double can store the various numbers of decimal places we'll likely encounter.
A single double field can represent 999,999,999,999,999s in Japanese yens, 9,999,999,999,999.99s in US dollars and even 9,999,999.99999999s in bitcoins
If you try doing the same with decimal, you need decimal(30, 15) which costs 14 bytes.
Caveats
Of course, using double isn't without caveats.
However, it's not loss of accuracy as some tend to point out. Even though double itself may not be internally exact to the base 10 system, we can make it exact by rounding the value we pull from the database to its significant decimal places. If needed that is. (e.g. If it's going to be outputted, and base 10 representation is required.)
The caveats are, any time we perform arithmetic with it, we need to normalize the result (by rounding it to its significant decimal places) before:
Performing comparisons on it.
Writing it back to the database.
Another kind of caveat is, unlike decimal(m, d) where the database will prevent programs from inserting a number with more than m digits, no such validations exists with double. A program could insert a user inputted value of 20 digits and it'll end up being silently recorded as an inaccurate amount.
If GAAP Compliance is required or you need 4 decimal places:
DECIMAL(13, 4)
Which supports a max value of:
$999,999,999.9999
Otherwise, if 2 decimal places is enough:
DECIMAL(13,2)
src: https://rietta.com/blog/best-data-types-for-currencymoney-in/
Indeed this relies on the programmer's preferences. I personally use: numeric(15,4) to conform to the Generally Accepted Accounting Principles (GAAP).
Try using
Decimal(19,4)
this usually works with every other DB as well
Storing money as BIGINT multiplied by 100 or more with the reason to use less storage space makes no sense in all "normal" situations.
To stay aligned with GAAP it is sufficient to store currencies in DECIMAL(13,4)
MySQL manual reads that it needs 4 bytes per 9 digits to store DECIMAL.
https://dev.mysql.com/doc/refman/8.0/en/precision-math-decimal-characteristics.html
DECIMAL(13,4) represents 9 digits + 4 fraction digits (decimal places) => 4 + 2 bytes = 6 bytes
compare to 8 bytes required to store BIGINT.
There are 2 valid options:
use integer amount of currency minor units (e.g. cents)
represent amount as decimal value of the currency
In both cases you should use decimal data type to have enough significant digits. The difference can be in precision:
even for integer amount of minor units it's better to have extra precisions for accumulators (account for accumulating 10% fees from 1-cent operations)
different currencies have different number of decimals, cryptocurrencies have up to 18 decimals
The number of decimals can change over time due to inflation
Source and more caveats and facts.
Multiplies 10000 and stores as BIGINT, like "Currency" in Visual Basic and Office. See https://msdn.microsoft.com/en-us/library/office/gg264338.aspx

MySQL - Value of 1 in DECIMAL(2, 2) is coming out as 0.99

I am storing monetary values, and I read that FLOAT has internal rounding problems (although I can't say I ever noticed any problems) and that it is better to use DECIMAL.
So I have been using DECIMAL but when I try to set the value to 1 it is stored as 0.99. I will be using that value in JavaScript at some point, and I know that my JS calculations will be wrong because it is 0.99 not 1.00.
Why is it doing that and should I just use FLOAT?
You need DECIMAL(4, 2) by the looks of things. DECIMAL(2, 2) only allows a range of -0.99 to 0.99
The precision represents the number of significant digits that are stored for values, and the scale represents the number of digits that can be stored following the decimal point. so in your case you have not defined the column to allow any integer part at all.