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Inspired from a real problem; we were looking at this table and said "Hey, now that's a good codegolf problem."

The KOOS Jr. scores converts from a raw number to a percentile score given this table:

Raw summed score Interval score (0-28) (0 to 100 scale) 0 100.000 1 91.975 2 84.600 3 79.914 4 76.332 5 73.342 6 70.704 7 68.284 8 65.994 9 63.776 10 61.583 11 59.381 12 57.140 13 54.840 14 52.465 15 50.012 16 47.487 17 44.905 18 42.281 19 39.625 20 36.931 21 34.174 22 31.307 23 28.251 24 24.875 25 20.941 26 15.939 27 8.291 28 0.000

Provide a program, function, expression, or source file generator* that given the input raw number returns the interval score number. You may accept your input as a string or number and may produce your output as a string or number. Trailing zeros after the decimal point may be included or omitted. You may not however use scaled integers: 1 must really return 91.975 not 91975.

*source file generator must output a valid source file for some language you specify; just outputting the table is not allowed.

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  • \$\begingroup\$ Note that for some languages, outputting to a file is not possible. I would recommend removing this restriction. \$\endgroup\$ Commented Jul 15, 2017 at 1:56
  • \$\begingroup\$ @HyperNeutrino: 1) It's not a restriction - see the or clause; 2) if they output the source file to stdout that's what I expect anyway. \$\endgroup\$ Commented Jul 15, 2017 at 1:57
  • \$\begingroup\$ Oh well I should go to sleep then. I must be blind. :P \$\endgroup\$ Commented Jul 15, 2017 at 1:58
  • 1
    \$\begingroup\$ " I used to be an adventurer like you. Then I took an arrow in the knee." Score: 0.000. \$\endgroup\$ Commented Jul 15, 2017 at 10:55

7 Answers 7

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3
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05AB1E, 59 bytes

•G‚Œιã¶&‡Vc–QΩ`ååI~(Ìö{3.ùSÿ{Ćι¯TærÆcï`₃āÀ}ªHÕ¶η•4ô.¥R3°/Iè

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Explanation

•G‚Œιã¶&‡Vc–QΩååI~(Ìö{3.ùSÿ{Ćι¯TærÆcï₃āÀ}ªHÕ¶η• is a compressed version of the input constructed by:

  • multiplying each element in the input by 1000
  • reversing the resulting list
  • calculating deltas
  • joining to a single base-10 number
  • compressing to base-255

The rest of the code is then:

4ô # split in pieces of 4 .¥ # undelta R # reverse 3°/ # divide each by 1000 Iè # index into list with input
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  • 1
    \$\begingroup\$ Clever trick with the same-length-4 stuff! \$\endgroup\$ Commented Jul 15, 2017 at 13:49
  • \$\begingroup\$ A wild Undelta appears! \$\endgroup\$ Commented Jul 17, 2017 at 21:12
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PHP, 152 bytes

<?=intval(substr("255s1yyv1ta01pnu1mwc1kla1ik01gos1ex61d7k1bin19th183816bc14hd12l810n30ynd0wmh0ukp0shv0qda0o5n0lsr0j6z0g5p0car06eb0",$argn*4,4),36)/1e3;

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1
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Python 2, 166 160 139 bytes

lambda n:sum(int('6533222222211111111111222356EWU1LC74210ZYWTRQPOPRV1BRMO6BGYASWNLUSWQ55ZW96XMM8A2I6VX'[i::28],36)for i in range(28-n))/1e3

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Edit: golf 6 bytes from glaring redundancy of 2's...; also saved 21 bytes by switch to base 36 (thanks ovs!) and using 1e3 instead of 1000.

The string is an encoded list of the 28 4-digit deltas.

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1
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Python 3, 133 bytes

lambda k:sum(int('5ukygji75mxo64d3f5vstve68rdiq42l8nof8cs35qyb5bdtzihbhk086m8nel1nx3kqxvn',36)//8292**i%8292for i in range(28-k))/1e3

It uses packed differences, and sums them. To pack efficiently, rather than using binary, it's packed in a number that's effectively base 8292, and that number is embedded in the code as a base 36 literal.

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1
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Stax, 59 bytes

â¬∟╧↓┘╟╤éJ{súÇaz░«╝╬°╢=♦Γ┘=▐▬[è2Ü←`‼frl¢£≤kpOy‼5¶^≡%#ßî↕V0Å

Run and debug it

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0
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Mathematica, 196 bytes

(100-Accumulate[{0}~Join~IntegerDigits@9753332322223223323323344578])[[#+1]].{0,975,6,914,332,342,704,284,994,776,583,381,14,84,465,"012",487,905,281,625,931,174,307,251,875,941,939,291,0}[[#+1]]&
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0
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Python 3, 147 146 bytes

-1 byte thanks to @JörgHülsermann

lambda k:sum((int('9CU7OK2L6V5W6E8QYM3YL0TRGZIJ6Y14N43TRVCAXF6C58HP69ZC4536JNILBUC45C5S8G4DIT0J',36)&2**(14*-~i)-1)>>i*14for i in range(28-k))/1e3

Try it online!

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1
  • \$\begingroup\$ 1e3 instead of 1000 \$\endgroup\$ Commented Jul 15, 2017 at 14:33

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