| 1 | Student: Rick van der Zwet - 0433373
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| 2 |
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| 3 | > Question 1: Estimate the space to store 10^10 float numbers, using the
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| 4 | > following cases, take in count to minimize the storage costs, while
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| 5 | > preserving the full number accuracy.
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| 6 |
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| 7 | I take a float to be single precision (called float in C language) as
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| 8 | the definition of float. This occupied 32 bits (4 bytes), and has got
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| 9 | a significand precision of 24 bits (7 decimal digits)
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| 10 | source: http://en.wikipedia.org/wiki/IEEE_754-1985
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| 11 | To store integers of max 10^10, there is a need of a 64 bit integer
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| 12 | (also called long)
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| 13 | source: http://en.wikipedia.org/wiki/Integer_%28computer_science%29
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| 14 |
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| 15 | > a) We store the float numbers together with their integer index as
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| 16 | > characters in a flat CSV file.
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| 17 |
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| 18 | Each line will look like: <index>,<float><newline>. The max numbers
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| 19 | of characters of <index> will be 11, <float> will take up 7 and 1 extra
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| 20 | as delimiter. Extra on every line will be 2, due to the delimiters. So 1
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| 21 | line will contain 11 + 8 + 2 = 21 characters. In total 10^10 * 21. If
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| 22 | you choose to use the line number as index number you will only need 8
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| 23 | +1 * 10^10 characters, which is roughly (1 char = 4 bytes) 36 * 10^10
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| 24 |
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| 25 | > b) We store the numbers together with their index in a MySQL database.
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| 26 | > Make your choice between FLOAT, DOUBLE types for the numbers and
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| 27 | > SIGNED/UNSIGNED TINYINT indeces.
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| 28 |
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| 29 | UNSIGNED is the best choice as we are not dealing with negative
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| 30 | numbers, the index is by default set in a mysql table as it it used to
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| 31 | refer to the data. A FLOAT takes up 4 bytes a DOUBLE 8 bytes. So roughly
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| 32 | in total it takes up (8 + 1) * 10^10 bytes. You could enlarge your FLOAT
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| 33 | to gain more persision, or make it general to make sure you will only
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| 34 | start loose presition after 53 digits.
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| 35 | source: http://dev.mysql.com/doc/refman/5.0/en/numeric-types.html
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| 36 | source: http://dev.mysql.com/doc/refman/5.0/en/storage-requirements.html
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| 37 |
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| 38 | > c) We store the numbers in a binary format of your own together with
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| 39 | > indeces.
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| 40 |
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| 41 | After storing all numbers in just the simplest format as posible,
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| 42 | float numbers next after eachother with a delimiter in between,would
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| 43 | make it most effient.
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| 44 |
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| 45 |
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| 46 | > Question 2: Giving the following cases, make some rough estimations the
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| 47 | > time necessary to compute 10^10 association tests.
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| 48 |
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| 49 | Results in days,years are rounded.
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| 50 | Case | each test in sec | Total/sec | Total/days | Total/years
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| 51 | --------|---------------------|-----------|------------|------------
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| 52 | a) | 1 | 10^10 | 115.740 | 317
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| 53 | b) | 0.1 | 10^9 | 11.574 | 32
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| 54 | c) | 0.01 | 10^8 | 1.157 | 3
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| 55 | d) | 0.001 | 10^7 | 116 | 0
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| 56 |
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| 57 | > Question 3: Create a user-space envirionment for the free scientific
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| 58 | > computation envirionment R.
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| 59 |
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| 60 | The shell script attached will create the envirionment. Commented parts
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| 61 | shows what's currently going on. I have had a create help of the
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| 62 | README.txt and INSTALL.txt which came with the software packages
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| 63 |
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| 64 |
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