Price fraction
From Rosetta Code
You are encouraged to solve this task according to the task description, using any language you may know.
A friend of mine runs a pharmacy. He has a specialised function in his Dispensary application which receives a decimal value of currency and replaces it to a standard value. This value is regulated by a government department.
Task: Given a floating point value between 0.00 and 1.00, rescale according to the following table:
>= 0.00 < 0.06 := 0.10 >= 0.06 < 0.11 := 0.18 >= 0.11 < 0.16 := 0.26 >= 0.16 < 0.21 := 0.32 >= 0.21 < 0.26 := 0.38 >= 0.26 < 0.31 := 0.44 >= 0.31 < 0.36 := 0.50 >= 0.36 < 0.41 := 0.54 >= 0.41 < 0.46 := 0.58 >= 0.46 < 0.51 := 0.62 >= 0.51 < 0.56 := 0.66 >= 0.56 < 0.61 := 0.70 >= 0.61 < 0.66 := 0.74 >= 0.66 < 0.71 := 0.78 >= 0.71 < 0.76 := 0.82 >= 0.76 < 0.81 := 0.86 >= 0.81 < 0.86 := 0.90 >= 0.86 < 0.91 := 0.94 >= 0.91 < 0.96 := 0.98 >= 0.96 < 1.01 := 1.00
[edit] Ada
type Price is delta 0.01 digits 3 range 0.0..1.0;
function Scale (Value : Price) return Price is
X : constant array (1..19) of Price :=
( 0.06, 0.11, 0.16, 0.21, 0.26, 0.31, 0.36, 0.41, 0.46, 0.51,
0.56, 0.61, 0.66, 0.71, 0.76, 0.81, 0.86, 0.91, 0.96
);
Y : constant array (1..20) of Price :=
( 0.10, 0.18, 0.26, 0.32, 0.38, 0.44, 0.50, 0.54, 0.58, 0.62,
0.66, 0.70, 0.74, 0.78, 0.82, 0.86, 0.90, 0.94, 0.98, 1.0
);
Low : Natural := X'First;
High : Natural := X'Last;
Middle : Natural;
begin
loop
Middle := (Low + High) / 2;
if Value = X (Middle) then
return Y (Middle + 1);
elsif Value < X (Middle) then
if Low = Middle then
return Y (Low);
end if;
High := Middle - 1;
else
if High = Middle then
return Y (High + 1);
end if;
Low := Middle + 1;
end if;
end loop;
end Scale;
The solution uses fixed point type to prevent rounding and representation issues. With the above declarations a full coverage test:
with Ada.Text_IO; use Ada.Text_IO;
procedure Test_Price_Fraction is
-- Put the declarations here
Value : Price := Price'First;
begin
loop
Put_Line (Price'Image (Value) & "->" & Price'Image (Scale (Value)));
exit when Value = Price'Last;
Value := Price'Succ (Value);
end loop;
end Test_Price_Fraction;
Sample output:
0.00-> 0.10 0.01-> 0.10 0.02-> 0.10 0.03-> 0.10 0.04-> 0.10 0.05-> 0.10 0.06-> 0.18 0.07-> 0.18 0.08-> 0.18 0.09-> 0.18 0.10-> 0.18 0.11-> 0.26 0.12-> 0.26 0.13-> 0.26 0.14-> 0.26 0.15-> 0.26 0.16-> 0.32 0.17-> 0.32 0.18-> 0.32 0.19-> 0.32 0.20-> 0.32 0.21-> 0.38 0.22-> 0.38 0.23-> 0.38 0.24-> 0.38 0.25-> 0.38 0.26-> 0.44 0.27-> 0.44 0.28-> 0.44 0.29-> 0.44 0.30-> 0.44 0.31-> 0.50 0.32-> 0.50 0.33-> 0.50 0.34-> 0.50 0.35-> 0.50 0.36-> 0.54 0.37-> 0.54 0.38-> 0.54 0.39-> 0.54 0.40-> 0.54 0.41-> 0.58 0.42-> 0.58 0.43-> 0.58 0.44-> 0.58 0.45-> 0.58 0.46-> 0.62 0.47-> 0.62 0.48-> 0.62 0.49-> 0.62 0.50-> 0.62 0.51-> 0.66 0.52-> 0.66 0.53-> 0.66 0.54-> 0.66 0.55-> 0.66 0.56-> 0.70 0.57-> 0.70 0.58-> 0.70 0.59-> 0.70 0.60-> 0.70 0.61-> 0.74 0.62-> 0.74 0.63-> 0.74 0.64-> 0.74 0.65-> 0.74 0.66-> 0.78 0.67-> 0.78 0.68-> 0.78 0.69-> 0.78 0.70-> 0.78 0.71-> 0.82 0.72-> 0.82 0.73-> 0.82 0.74-> 0.82 0.75-> 0.82 0.76-> 0.86 0.77-> 0.86 0.78-> 0.86 0.79-> 0.86 0.80-> 0.86 0.81-> 0.90 0.82-> 0.90 0.83-> 0.90 0.84-> 0.90 0.85-> 0.90 0.86-> 0.94 0.87-> 0.94 0.88-> 0.94 0.89-> 0.94 0.90-> 0.94 0.91-> 0.98 0.92-> 0.98 0.93-> 0.98 0.94-> 0.98 0.95-> 0.98 0.96-> 1.00 0.97-> 1.00 0.98-> 1.00 0.99-> 1.00 1.00-> 1.00
[edit] AutoHotkey
; Submitted by MasterFocus --- http://tiny.cc/iTunis
Loop
{
InputBox, OutputVar, Price Fraction Example, Insert the value to be rounded.`n* [ 0 < value < 1 ]`n* Press ESC or Cancel to exit, , 200, 150
If ErrorLevel
Break
MsgBox % "Input: " OutputVar "`nResult: " PriceFraction( OutputVar )
}
;-----------------------------------------
PriceFraction( p_Input )
{
If p_Input is not float ; returns 0 if input is not a float
Return 0
If ( ( p_Input <= 0 ) OR ( p_Input >= 1 ) ) ; returns 0 is input is out of range
Return 0
; declaring the table (arbitrary delimiters in use are '§' and '|')
l_List := "0.06|0.10§0.11|0.18§0.16|0.26§0.21|0.32§0.26|0.38§0.31|0.44§0.36|0.50§0.41|0.54§0.46|0.58§0.51|0.62§0.56|0.66§0.61|0.70§0.66|0.74§0.71|0.78§0.76|0.82§0.81|0.86§0.86|0.90§0.91|0.94§0.96|0.98§1.01|1.00"
Loop, Parse, l_List, § ; retrieves each field (delimited by '§')
{
StringSplit, l_Array, A_LoopField, | ; splits current field (using delimiter '|')
If ( p_Input <= l_Array1 )
Return l_Array2 ; returns the second value if input <= first value
}
Return 0 ; returns 0, indicating failure (shouldn't be reached though)
}
[edit] ALGOL 68
- note: This specimen retains the original C coding style.main:
(
# Just get a random price between 0 and 1 #
# srand(time(NIL)); #
REAL price := random;
REAL tops := 0.06;
REAL std val := 0.10;
# Conditionals are a little odd here "(price-0.001 < tops AND
price+0.001 > tops)" is to check if they are equal. Stupid
C floats, right? :) #
WHILE ( price>tops OR (price-0.001 < tops AND price+0.001 > tops) ) AND tops<=1.01
DO
tops+:=0.05;
IF std val < 0.26 THEN
std val +:= 0.08
ELIF std val < 0.50 THEN
std val +:= 0.06
ELSE
std val +:= 0.04
FI;
IF std val > 0.98 THEN
std val := 1.0
FI
OD;
printf(($"Value : "z.2dl,"Converted to standard : "z.2dl$, price, std val))
)
Sample Output:
Value : 0.38 Converted to standard : 0.54
[edit] AWK
BEGIN {
O = ".06 .11 .16 .21 .26 .31 .36 .41 .46 .51 .56 .61 .66 .71 .76 .81 .86 .91 .96 1.01"
N = ".10 .18 .26 .32 .38 .44 .50 .54 .58 .62 .66 .70 .74 .78 .82 .86 .90 .94 .98 1.00"
fields = split(O,Oarr," ") # original values
split(N,Narr," ") # replacement values
for (i=-.01; i<=1.02; i+=.01) { # test
printf("%5.2f = %4.2f\n",i,lookup(i))
}
}
function lookup(n, i) {
if (n < 0 || n > 1.01) {
return(0) # when input is out of range
}
for (i=1; i<=fields; i++) {
# +10 is used because .11 returned .18 instead of .26
# under AWK95, GAWK, and MAWK; Thompson Automation's TAWK worked correctly
if (n+10 < Oarr[i]+10) {
return(Narr[i])
}
}
}
[edit] BASIC
This could also be done by building an array, but I felt that this was simpler.
DECLARE FUNCTION PriceFraction! (price AS SINGLE)
RANDOMIZE TIMER
DIM x AS SINGLE
x = RND
PRINT x, PriceFraction(x)
FUNCTION PriceFraction! (price AS SINGLE)
'returns price unchanged if invalid value
SELECT CASE price
CASE IS < 0!
PriceFraction! = price
CASE IS < .06
PriceFraction! = .1
CASE IS < .11
PriceFraction! = .18
CASE IS < .16
PriceFraction! = .26
CASE IS < .21
PriceFraction! = .32
CASE IS < .26
PriceFraction! = .38
CASE IS < .31
PriceFraction! = .44
CASE IS < .36
PriceFraction! = .5
CASE IS < .41
PriceFraction! = .54
CASE IS < .46
PriceFraction! = .58
CASE IS < .51
PriceFraction! = .62
CASE IS < .56
PriceFraction! = .66
CASE IS < .61
PriceFraction! = .7
CASE IS < .66
PriceFraction! = .74
CASE IS < .71
PriceFraction! = .78
CASE IS < .76
PriceFraction! = .82
CASE IS < .81
PriceFraction! = .86
CASE IS < .86
PriceFraction! = .9
CASE IS < .91
PriceFraction! = .94
CASE IS < .96
PriceFraction! = .98
CASE IS < 1.01
PriceFraction! = 1!
CASE ELSE
PriceFraction! = price
END SELECT
END FUNCTION
Sample outputs (run 5 times):
.7388727 .82 .8593103 .9 .826687 .9 .3444635 .5 .0491907 .1
[edit] BBC BASIC
PRINT FNpricefraction(0.5)
END
DEF FNpricefraction(p)
IF p < 0.06 THEN = 0.10
IF p < 0.11 THEN = 0.18
IF p < 0.16 THEN = 0.26
IF p < 0.21 THEN = 0.32
IF p < 0.26 THEN = 0.38
IF p < 0.31 THEN = 0.44
IF p < 0.36 THEN = 0.50
IF p < 0.41 THEN = 0.54
IF p < 0.46 THEN = 0.58
IF p < 0.51 THEN = 0.62
IF p < 0.56 THEN = 0.66
IF p < 0.61 THEN = 0.70
IF p < 0.66 THEN = 0.74
IF p < 0.71 THEN = 0.78
IF p < 0.76 THEN = 0.82
IF p < 0.81 THEN = 0.86
IF p < 0.86 THEN = 0.90
IF p < 0.91 THEN = 0.94
IF p < 0.96 THEN = 0.98
= 1.00
[edit] Bracmat
Bracmat has no native support for floating point variables nor for the fixed point values in the conversion table. Instead this solution just applies a string comparison.
( ( convert
=
. ("0.06"."0.10")
("0.11"."0.18")
("0.16"."0.26")
("0.21"."0.32")
("0.26"."0.38")
("0.31"."0.44")
("0.36"."0.50")
("0.41"."0.54")
("0.46"."0.58")
("0.51"."0.62")
("0.56"."0.66")
("0.61"."0.70")
("0.66"."0.74")
("0.71"."0.78")
("0.76"."0.82")
("0.81"."0.86")
("0.86"."0.90")
("0.91"."0.94")
("0.96"."0.98")
("1.01"."1.00")
: ? (>!arg.?arg) ?
& !arg
| "invalid input"
)
& -1:?n
& whl
' ( !n+1:?n:<103
& ( @(!n:? [<2)&str$("0.0" !n):?a
| @(!n:? [<3)&str$("0." !n):?a
| @(!n:?ones [-3 ?decimals)
& str$(!ones "." !decimals):?a
)
& out$(!a "-->" convert$!a)
)
)
Output:
0.00 --> 0.10 0.01 --> 0.10 0.02 --> 0.10 0.03 --> 0.10 0.04 --> 0.10 0.05 --> 0.10 0.06 --> 0.18 0.07 --> 0.18 0.08 --> 0.18 0.09 --> 0.18 0.10 --> 0.18 0.11 --> 0.26 0.12 --> 0.26 0.13 --> 0.26 0.14 --> 0.26 0.15 --> 0.26 0.16 --> 0.32 0.17 --> 0.32 ... 0.85 --> 0.90 0.86 --> 0.94 0.87 --> 0.94 0.88 --> 0.94 0.89 --> 0.94 0.90 --> 0.94 0.91 --> 0.98 0.92 --> 0.98 0.93 --> 0.98 0.94 --> 0.98 0.95 --> 0.98 0.96 --> 1.00 0.97 --> 1.00 0.98 --> 1.00 0.99 --> 1.00 1.00 --> 1.00 1.01 --> invalid input 1.02 --> invalid input
[edit] C
#include<stdio.h>
double table[][2] = {
{0.06, 0.10}, {0.11, 0.18}, {0.16, 0.26}, {0.21, 0.32},
{0.26, 0.38}, {0.31, 0.44}, {0.36, 0.50}, {0.41, 0.54},
{0.46, 0.58}, {0.51, 0.62}, {0.56, 0.66}, {0.61, 0.70},
{0.66, 0.74}, {0.71, 0.78}, {0.76, 0.82}, {0.81, 0.86},
{0.86, 0.90}, {0.91, 0.94}, {0.96, 0.98}, {1.01, 1.00},
{-1, 0}, /* guarding element */
};
double price_fix(double x)
{
int i;
for (i = 0; table[i][0] > 0; i++)
if (x < table[i][0]) return table[i][1];
abort(); /* what else to do? */
}
int main()
{
int i;
for (i = 0; i <= 100; i++)
printf("%.2f %.2f\n", i / 100., price_fix(i / 100.));
return 0;
}
[edit] C#
namespace ConsoleApplication1
{
class Program
{
static void Main(string[] args)
{
for (int x = 0; x < 10; x++)
{
Console.WriteLine("In: {0:0.00}, Out: {1:0.00}", ((double)x) / 10, SpecialRound(((double)x) / 10));
}
Console.WriteLine();
for (int x = 0; x < 10; x++)
{
Console.WriteLine("In: {0:0.00}, Out: {1:0.00}", ((double)x) / 10 + 0.05, SpecialRound(((double)x) / 10 + 0.05));
}
Console.WriteLine();
Console.WriteLine("In: {0:0.00}, Out: {1:0.00}", 1.01, SpecialRound(1.01));
Console.Read();
}
private static double SpecialRound(double inValue)
{
if (inValue > 1) return 1;
double[] Splitters = new double[] {
0.00 , 0.06 , 0.11 , 0.16 , 0.21 ,
0.26 , 0.31 , 0.36 , 0.41 , 0.46 ,
0.51 , 0.56 , 0.61 , 0.66 , 0.71 ,
0.76 , 0.81 , 0.86 , 0.91 , 0.96 };
double[] replacements = new double[] {
0.10 , 0.18 , 0.26 , 0.32 , 0.38 ,
0.44 , 0.50 , 0.54 , 0.58 , 0.62 ,
0.66 , 0.70 , 0.74 , 0.78 , 0.82 ,
0.86 , 0.90 , 0.94 , 0.98 , 1.00 };
for (int x = 0; x < Splitters.Length - 1; x++)
{
if (inValue >= Splitters[x] &&
inValue < Splitters[x + 1])
{
return replacements[x];
}
}
return inValue;
}
}
}
[edit] C++
#include <iostream>
#include <cmath>
int main( ) {
double froms[ ] = { 0.00 , 0.06 , 0.11 , 0.16 , 0.21 , 0.26 ,
0.31 , 0.36 , 0.41 , 0.46 , 0.51 , 0.56 , 0.61 , 0.66 ,
0.71 , 0.76 , 0.81 , 0.86 , 0.91 , 0.96 } ;
double tos[ ] = { 0.06 , 0.11 , 0.16 , 0.21 , 0.26 , 0.31 ,
0.36 , 0.41 , 0.46 , 0.51 , 0.56 , 0.61 , 0.66 , 0.71 ,
0.76 , 0.81 , 0.86 , 0.91 , 0.96 , 1.01 } ;
double replacements [] = { 0.10 , 0.18 , 0.26 , 0.32 , 0.38 ,
0.44 , 0.50 , 0.54 , 0.58 , 0.62 , 0.66 , 0.70 , 0.74 ,
0.78 , 0.82 , 0.86 , 0.90 , 0.94 , 0.98 , 1.00 } ;
double number = 0.1 ;
std::cout << "Enter a fractional number between 0 and 1 ( 0 to end )!\n" ;
std::cin >> number ;
while ( number != 0 ) {
if ( number < 0 || number > 1 ) {
std::cerr << "Error! Only positive values between 0 and 1 are allowed!\n" ;
return 1 ;
}
int n = 0 ;
while ( ! ( number >= froms[ n ] && number < tos[ n ] ) )
n++ ;
std::cout << "-->" << replacements[ n ] << '\n' ;
std::cout << "Enter a fractional number ( 0 to end )!\n" ;
std::cin >> number ;
}
return 0 ;
}
Sample output: Enter a fractional number between 0 and 1 ( 0 to end )! 0.7 -->0.78 Enter a fractional number ( 0 to end )! 0.32 -->0.5 Enter a fractional number ( 0 to end )! 0.12 -->0.26 Enter a fractional number ( 0 to end )! 0
[edit] Clipper
FUNCTION PriceFraction( npQuantDispensed )
LOCAL aPriceFraction := { {0,.06,.1},;
{.06,.11,.18}, ;
{.11,.16,.26}, ;
{.16,.21,.32}, ;
{.21,.26,.38}, ;
{.26,.31,.44}, ;
{.31,.36,.5}, ;
{.36,.41,.54}, ;
{.41,.46,.58}, ;
{.46,.51,.62}, ;
{.51,.56,.66}, ;
{.56,.61,.7}, ;
{.61,.66,.74}, ;
{.66,.71,.78}, ;
{.71,.76,.82}, ;
{.76,.81,.86}, ;
{.81,.86,.9}, ;
{.86,.91,.94}, ;
{.91,.96,.98} }
LOCAL nResult
LOCAL nScan
IF npQuantDispensed = 0
nResult = 0
ELSEIF npQuantDispensed >= .96
nResult = 1
ELSE
nScan := ASCAN( aPriceFraction, ;
{ |aItem| npQuantDispensed >= aItem[ 1 ] .AND.;
npQuantDispensed < aItem[ 2 ] } )
nResult := aPriceFraction[ nScan ][ 3 ]
END IF
RETURN nResult
The function above crashes with an array access bound error if the value passed is negative. Also, the spec. indicates that 0.00 should be replaced with standard value 0.10, not 0. The following is a more concise solution:
Procedure Main()
Local i
For i := -0.02 to 1.02 STEP 0.03
? i, "->", PriceFraction(i), i+0.02, "->", PriceFraction(i+0.02)
Next
Return
Static Function PriceFraction( nValue )
Local nResult
Local n
// Function is only defined for values 0 to 1.00
// Return NIL for anything else
// Table of values {V1, V2} = {Threshhold, Standard value}
#define TV_THRESHHOLD 1
#define TV_STD_VALUE 2
Local aTable := { {0, NIL },;
{0.06, 0.10},;
{0.11, 0.18},;
{0.16, 0.26},;
{0.21, 0.32},;
{0.26, 0.38},;
{0.31, 0.44},;
{0.36, 0.50},;
{0.41, 0.54},;
{0.46, 0.58},;
{0.51, 0.62},;
{0.56, 0.66},;
{0.61, 0.70},;
{0.66, 0.74},;
{0.71, 0.78},;
{0.76, 0.82},;
{0.81, 0.86},;
{0.86, 0.90},;
{0.91, 0.94},;
{0.96, 0.98},;
{1.01, 1.00} }
n := AScan( aTable, {|x| nValue < x[TV_THRESHHOLD] })
If n > 0
nResult := aTable[n][TV_STD_VALUE]
Else
nResult := NIL
Endif
Return nResult
Output:
-0.02 -> NIL 0.00 -> 0.10
0.01 -> 0.10 0.03 -> 0.10
0.04 -> 0.10 0.06 -> 0.18
0.07 -> 0.18 0.09 -> 0.18
0.10 -> 0.18 0.12 -> 0.26
0.13 -> 0.26 0.15 -> 0.26
0.16 -> 0.32 0.18 -> 0.32
0.19 -> 0.32 0.21 -> 0.38
0.22 -> 0.38 0.24 -> 0.38
0.25 -> 0.38 0.27 -> 0.44
0.28 -> 0.44 0.30 -> 0.44
0.31 -> 0.50 0.33 -> 0.50
0.34 -> 0.50 0.36 -> 0.54
0.37 -> 0.54 0.39 -> 0.54
0.40 -> 0.54 0.42 -> 0.58
0.43 -> 0.58 0.45 -> 0.58
0.46 -> 0.62 0.48 -> 0.62
0.49 -> 0.62 0.51 -> 0.66
0.52 -> 0.66 0.54 -> 0.66
0.55 -> 0.66 0.57 -> 0.70
0.58 -> 0.70 0.60 -> 0.70
0.61 -> 0.74 0.63 -> 0.74
0.64 -> 0.74 0.66 -> 0.78
0.67 -> 0.78 0.69 -> 0.78
0.70 -> 0.78 0.72 -> 0.82
0.73 -> 0.82 0.75 -> 0.82
0.76 -> 0.86 0.78 -> 0.86
0.79 -> 0.86 0.81 -> 0.90
0.82 -> 0.90 0.84 -> 0.90
0.85 -> 0.90 0.87 -> 0.94
0.88 -> 0.94 0.90 -> 0.94
0.91 -> 0.98 0.93 -> 0.98
0.94 -> 0.98 0.96 -> 1.00
0.97 -> 1.00 0.99 -> 1.00
1.00 -> 1.00 1.02 -> NIL
[edit] D
import std.stdio, std.range;
double priceRounder(in double price) pure nothrow
in {
assert(price >= 0 && price <= 1.0);
} body {
static immutable cin = [.06, .11, .16, .21, .26, .31, .36, .41,
.46, .51, .56, .61, .66, .71, .76, .81,
.86, .91, .96, 1.01],
cout = [.10, .18, .26, .32, .38, .44, .50, .54,
.58, .62, .66, .70, .74, .78, .82, .86,
.90, .94, .98, 1.00];
return cout[cin.assumeSorted.lowerBound(price).length];
}
void main() {
foreach (const price; [0.7388727, 0.8593103, 0.826687, 0.3444635])
price.priceRounder.writeln;
}
- Output:
0.82 0.9 0.9 0.5
[edit] Erlang
priceFraction(N) when N < 0 orelse N > 1 ->
erlang:error('Values must be between 0 and 1.');
priceFraction(N) when N < 0.06 -> 0.10;
priceFraction(N) when N < 0.11 -> 0.18;
priceFraction(N) when N < 0.16 -> 0.26;
priceFraction(N) when N < 0.21 -> 0.32;
priceFraction(N) when N < 0.26 -> 0.38;
priceFraction(N) when N < 0.31 -> 0.44;
priceFraction(N) when N < 0.36 -> 0.50;
priceFraction(N) when N < 0.41 -> 0.54;
priceFraction(N) when N < 0.46 -> 0.58;
priceFraction(N) when N < 0.51 -> 0.62;
priceFraction(N) when N < 0.56 -> 0.66;
priceFraction(N) when N < 0.61 -> 0.70;
priceFraction(N) when N < 0.66 -> 0.74;
priceFraction(N) when N < 0.71 -> 0.78;
priceFraction(N) when N < 0.76 -> 0.82;
priceFraction(N) when N < 0.81 -> 0.86;
priceFraction(N) when N < 0.86 -> 0.90;
priceFraction(N) when N < 0.91 -> 0.94;
priceFraction(N) when N < 0.96 -> 0.98;
priceFraction(N) -> 1.00.
[edit] Euphoria
constant table = {
{0.06, 0.10}, {0.11, 0.18}, {0.16, 0.26}, {0.21, 0.32},
{0.26, 0.38}, {0.31, 0.44}, {0.36, 0.50}, {0.41, 0.54},
{0.46, 0.58}, {0.51, 0.62}, {0.56, 0.66}, {0.61, 0.70},
{0.66, 0.74}, {0.71, 0.78}, {0.76, 0.82}, {0.81, 0.86},
{0.86, 0.90}, {0.91, 0.94}, {0.96, 0.98}, {1.01, 1.00}
}
function price_fix(atom x)
for i = 1 to length(table) do
if x < table[i][1] then
return table[i][2]
end if
end for
return -1
end function
for i = 0 to 99 do
printf(1, "%.2f %.2f\n", { i/100, price_fix(i/100) })
end for
[edit] Fantom
class Defn // to hold the three numbers from a 'row' in the table
{
Float low
Float high
Float value
new make (Float low, Float high, Float value)
{
this.low = low
this.high = high
this.value = value
}
}
class PriceConverter
{
Defn[] defns := [,]
new make (Str table) // process given table and store numbers from each row in a defn
{
table.split('\n').each |Str line|
{
data := line.split
defns.add (Defn(Float.fromStr(data[1]), Float.fromStr(data[3]), Float.fromStr(data[5])))
}
}
public Float convert (Float price) // convert by looking through list of defns
{
Float result := price
defns.each |Defn defn|
{
if (price >= defn.low && price < defn.high)
result = defn.value
}
return result
}
}
class Main
{
public static Void main ()
{
table := ">= 0.00 < 0.06 := 0.10
>= 0.06 < 0.11 := 0.18
>= 0.11 < 0.16 := 0.26
>= 0.16 < 0.21 := 0.32
>= 0.21 < 0.26 := 0.38
>= 0.26 < 0.31 := 0.44
>= 0.31 < 0.36 := 0.50
>= 0.36 < 0.41 := 0.54
>= 0.41 < 0.46 := 0.58
>= 0.46 < 0.51 := 0.62
>= 0.51 < 0.56 := 0.66
>= 0.56 < 0.61 := 0.70
>= 0.61 < 0.66 := 0.74
>= 0.66 < 0.71 := 0.78
>= 0.71 < 0.76 := 0.82
>= 0.76 < 0.81 := 0.86
>= 0.81 < 0.86 := 0.90
>= 0.86 < 0.91 := 0.94
>= 0.91 < 0.96 := 0.98
>= 0.96 < 1.01 := 1.00"
converter := PriceConverter (table)
10.times // simple test with random values
{
price := (0..100).random.toFloat / 100
echo ("$price -> ${converter.convert (price)}")
}
}
}
[edit] Forth
A floating-point version wouldn't be hard -- four words would change ( , @ @ cell+ -to- f, f@ f@ float+ ), EVALUATE would be replaced with a small word that forced a floating-point interpretation, and the return stack would not be used in ROUND -- but it would be strikingly unusual. See this page's discussion.
: as begin parse-word dup while evaluate , repeat 2drop ;
create bounds as 96 91 86 81 76 71 66 61 56 51 46 41 36 31 26 21 16 11 6 0
create official as 100 98 94 90 86 82 78 74 70 66 62 58 54 50 44 38 32 26 18 10
: official@ ( a-bounds -- +n )
\ (a+n) - a + b = (a+n) + (b - a) = (b+n)
[ official bounds - ] literal + @ ;
: round ( n-cents -- n-cents' )
>r bounds begin dup @ r@ > while cell+ repeat
r> drop official@ ;
[edit] Fortran
program price_fraction
implicit none
integer, parameter :: i_max = 10
integer :: i
real, dimension (20), parameter :: in = &
& (/0.00, 0.06, 0.11, 0.16, 0.21, 0.26, 0.31, 0.36, 0.41, 0.46, &
& 0.51, 0.56, 0.61, 0.66, 0.71, 0.76, 0.81, 0.86, 0.91, 0.96/)
real, dimension (20), parameter :: out = &
& (/0.10, 0.18, 0.26, 0.32, 0.38, 0.44, 0.50, 0.54, 0.58, 0.62, &
& 0.66, 0.70, 0.74, 0.78, 0.82, 0.86, 0.90, 0.94, 0.98, 1.00/)
real :: r
do i = 1, i_max
call random_number (r)
write (*, '(f8.6, 1x, f4.2)') r, out (maxloc (in, r >= in))
end do
end program price_fraction
Sample output:
0.997560 1.00
0.566825 0.70
0.965915 1.00
0.747928 0.82
0.367391 0.54
0.480637 0.62
0.073754 0.18
0.005355 0.10
0.347081 0.50
0.342244 0.50
[edit] Go
func pf(v float64) float64 {
switch {
case v < .06: return .10
case v < .11: return .18
case v < .16: return .26
case v < .21: return .32
case v < .26: return .38
case v < .31: return .44
case v < .36: return .50
case v < .41: return .54
case v < .46: return .58
case v < .51: return .62
case v < .56: return .66
case v < .61: return .70
case v < .66: return .74
case v < .71: return .78
case v < .76: return .82
case v < .81: return .86
case v < .86: return .90
case v < .91: return .94
case v < .96: return .98
}
return 1
}
[edit] Groovy
def priceFraction(value) {
assert value >= 0.0 && value <= 1.0
def priceMappings = [(0.06): 0.10, (0.11): 0.18, (0.16): 0.26, (0.21): 0.32, (0.26): 0.38,
(0.31): 0.44, (0.36): 0.50, (0.41): 0.54, (0.46): 0.58, (0.51): 0.62,
(0.56): 0.66, (0.61): 0.70, (0.66): 0.74, (0.71): 0.78, (0.76): 0.82,
(0.81): 0.86, (0.86): 0.90, (0.91): 0.94, (0.96): 0.98]
for (price in priceMappings.keySet()) {
if (value < price) return priceMappings[price]
}
1.00
}
for (def v = 0.00; v <= 1.00; v += 0.01) {
println "$v --> ${priceFraction(v)}"
}
Output:
0.00 --> 0.10 0.01 --> 0.10 0.02 --> 0.10 0.03 --> 0.10 0.04 --> 0.10 0.05 --> 0.10 0.06 --> 0.18 0.07 --> 0.18 0.08 --> 0.18 0.09 --> 0.18 0.10 --> 0.18 0.11 --> 0.26 0.12 --> 0.26 0.13 --> 0.26 0.14 --> 0.26 0.15 --> 0.26 0.16 --> 0.32 0.17 --> 0.32 0.18 --> 0.32 0.19 --> 0.32 0.20 --> 0.32 0.21 --> 0.38 0.22 --> 0.38 0.23 --> 0.38 0.24 --> 0.38 0.25 --> 0.38 0.26 --> 0.44 0.27 --> 0.44 0.28 --> 0.44 0.29 --> 0.44 0.30 --> 0.44 0.31 --> 0.50 0.32 --> 0.50 0.33 --> 0.50 0.34 --> 0.50 0.35 --> 0.50 0.36 --> 0.54 0.37 --> 0.54 0.38 --> 0.54 0.39 --> 0.54 0.40 --> 0.54 0.41 --> 0.58 0.42 --> 0.58 0.43 --> 0.58 0.44 --> 0.58 0.45 --> 0.58 0.46 --> 0.62 0.47 --> 0.62 0.48 --> 0.62 0.49 --> 0.62 0.50 --> 0.62 0.51 --> 0.66 0.52 --> 0.66 0.53 --> 0.66 0.54 --> 0.66 0.55 --> 0.66 0.56 --> 0.70 0.57 --> 0.70 0.58 --> 0.70 0.59 --> 0.70 0.60 --> 0.70 0.61 --> 0.74 0.62 --> 0.74 0.63 --> 0.74 0.64 --> 0.74 0.65 --> 0.74 0.66 --> 0.78 0.67 --> 0.78 0.68 --> 0.78 0.69 --> 0.78 0.70 --> 0.78 0.71 --> 0.82 0.72 --> 0.82 0.73 --> 0.82 0.74 --> 0.82 0.75 --> 0.82 0.76 --> 0.86 0.77 --> 0.86 0.78 --> 0.86 0.79 --> 0.86 0.80 --> 0.86 0.81 --> 0.90 0.82 --> 0.90 0.83 --> 0.90 0.84 --> 0.90 0.85 --> 0.90 0.86 --> 0.94 0.87 --> 0.94 0.88 --> 0.94 0.89 --> 0.94 0.90 --> 0.94 0.91 --> 0.98 0.92 --> 0.98 0.93 --> 0.98 0.94 --> 0.98 0.95 --> 0.98 0.96 --> 1.00 0.97 --> 1.00 0.98 --> 1.00 0.99 --> 1.00 1.00 --> 1.00
[edit] Haskell
price_fraction nAlternative :
| n < 0 || n > 1 = error "Values must be between 0 and 1."
| n < 0.06 = 0.10
| n < 0.11 = 0.18
| n < 0.16 = 0.26
| n < 0.21 = 0.32
| n < 0.26 = 0.38
| n < 0.31 = 0.44
| n < 0.36 = 0.50
| n < 0.41 = 0.54
| n < 0.46 = 0.58
| n < 0.51 = 0.62
| n < 0.56 = 0.66
| n < 0.61 = 0.70
| n < 0.66 = 0.74
| n < 0.71 = 0.78
| n < 0.76 = 0.82
| n < 0.81 = 0.86
| n < 0.86 = 0.90
| n < 0.91 = 0.94
| n < 0.96 = 0.98
| otherwise = 1.00
table = [
(0.06, 0.10), (0.11, 0.18), (0.16, 0.26), (0.21, 0.32), (0.26, 0.38),
(0.31, 0.44), (0.36, 0.50), (0.41, 0.54), (0.46, 0.58), (0.51, 0.62),
(0.56, 0.66), (0.61, 0.70), (0.66, 0.74), (0.71, 0.78), (0.76, 0.82),
(0.81, 0.86), (0.86, 0.90), (0.91, 0.94), (0.96, 0.98), (1.01, 1.00),
]
price_fraction n
| n < 0 || n > 1 = error "Values must be between 0 and 1."
| otherwise = snd $ head $ dropWhile ((<= n) . fst) table
[edit] HicEst
DIMENSION upperbound(20), rescaleTo(20), temp(20)
upperbound = (.06,.11,.16,.21,.26,.31,.36,.41,.46,.51,.56,.61,.66,.71,.76,.81,.86,.91,.96,1.01)
rescaleTo = (.10,.18,.26,.32,.38,.44,.50,.54,.58,.62,.66,.70,.74,.78,.82,.86,.90,.94,.98,1.00)
DO test = 1, 10
value = RAN(0.5, 0.5)
temp = value > upperbound
PriceFraction = rescaleTo( INDEX(temp, 0) )
WRITE(Format="F8.6, F6.2") value, PriceFraction
ENDDO
0.589230 0.70 0.017623 0.10 0.314343 0.50 0.553303 0.66 0.676283 0.78 0.016883 0.10 0.265656 0.44 0.460880 0.62 0.837450 0.90 0.228953 0.38
[edit] Icon and Unicon
record Bounds(low,high,new)
# rescale given value according to a list of bounds
procedure rescale (i, bounds)
every bound := !bounds do
if bound.low <= i < bound.high
then return bound.new
return fail # could not find i in bounds
end
procedure main ()
bounds := [
Bounds(0.00, 0.06, 0.10),
Bounds(0.06, 0.11, 0.18),
Bounds(0.11, 0.16, 0.26),
Bounds(0.16, 0.21, 0.32),
Bounds(0.21, 0.26, 0.38),
Bounds(0.26, 0.31, 0.44),
Bounds(0.31, 0.36, 0.50),
Bounds(0.36, 0.41, 0.54),
Bounds(0.41, 0.46, 0.58),
Bounds(0.46, 0.51, 0.62),
Bounds(0.51, 0.56, 0.66),
Bounds(0.56, 0.61, 0.70),
Bounds(0.61, 0.66, 0.74),
Bounds(0.66, 0.71, 0.78),
Bounds(0.71, 0.76, 0.82),
Bounds(0.76, 0.81, 0.86),
Bounds(0.81, 0.86, 0.90),
Bounds(0.86, 0.91, 0.94),
Bounds(0.91, 0.96, 0.98),
Bounds(0.96, 1.01, 1.00)
]
# test the procedure
every i := 0.00 to 1.00 by 0.1 do {
write (i || " rescaled is " || rescale(i, bounds))
}
end
Output:
0.0 rescaled is 0.1 0.1 rescaled is 0.18 0.2 rescaled is 0.32 0.3 rescaled is 0.44 0.4 rescaled is 0.54 0.5 rescaled is 0.62 0.6 rescaled is 0.7 0.7 rescaled is 0.78 0.8 rescaled is 0.86 0.9 rescaled is 0.94 1.0 rescaled is 1.0
[edit] Inform 7
Inform doesn't have native floating-point support; this version uses fixed point numbers with two decimal places.
Home is a room.
Price is a kind of value. 0.99 specifies a price.
Table of Price Standardization
upper bound replacement
0.06 0.10
0.11 0.18
0.16 0.26
0.21 0.32
0.26 0.38
0.31 0.44
0.36 0.50
0.41 0.54
0.46 0.58
0.51 0.62
0.56 0.66
0.61 0.70
0.66 0.74
0.71 0.78
0.76 0.82
0.81 0.86
0.86 0.90
0.91 0.94
0.96 0.98
1.01 1.00
To decide which price is the standardized value of (P - price):
repeat with N running from 1 to the number of rows in the Table of Price Standardization:
choose row N in the Table of Price Standardization;
if P is less than the upper bound entry, decide on the replacement entry.
When play begins:
repeat with N running from 1 to 5:
let P be a random price between 0.00 and 1.00;
say "[P] -> [standardized value of P].";
end the story.
[edit] J
Solution:
le =: -0.96 0.91 0.86 0.81 0.76 0.71 0.66 0.61 0.56 0.51 0.46 0.41 0.36 0.31 0.26 0.21 0.16 0.11 0.06 0.0
out =: 1.00 0.98 0.94 0.90 0.86 0.82 0.78 0.74 0.70 0.66 0.62 0.58 0.54 0.50 0.44 0.38 0.32 0.26 0.18 0.1
priceFraction =: out {~ le I. -
Example:
priceFraction 0.34 0.070145 0.06 0.05 0.50214 0.56 1 0.99 0
0.5 0.18 0.18 0.1 0.62 0.7 1 1 0.1
This implementation performs a binary search on the boundary values, and then uses the resulting index to select from the result values.
To prevent J's binary search from doing the wrong thing for values equal to a boundary, both the boundary values and the search value are negated.
[edit] Java
import java.util.Random;
public class Main {
private static float priceFraction(float f) {
if (0.00f <= f && f < 0.06f) return 0.10f;
else if (f < 0.11f) return 0.18f;
else if (f < 0.16f) return 0.26f;
else if (f < 0.21f) return 0.32f;
else if (f < 0.26f) return 0.38f;
else if (f < 0.31f) return 0.44f;
else if (f < 0.36f) return 0.50f;
else if (f < 0.41f) return 0.54f;
else if (f < 0.46f) return 0.58f;
else if (f < 0.51f) return 0.62f;
else if (f < 0.56f) return 0.66f;
else if (f < 0.61f) return 0.70f;
else if (f < 0.66f) return 0.74f;
else if (f < 0.71f) return 0.78f;
else if (f < 0.76f) return 0.82f;
else if (f < 0.81f) return 0.86f;
else if (f < 0.86f) return 0.90f;
else if (f < 0.91f) return 0.94f;
else if (f < 0.96f) return 0.98f;
else if (f < 1.01f) return 1.00f;
else throw new IllegalArgumentException();
}
public static void main(String[] args) {
Random rnd = new Random();
for (int i = 0; i < 5; i++) {
float f = rnd.nextFloat();
System.out.format("%8.6f -> %4.2f%n", f, priceFraction(f));
}
}
}
Output:
0.149969 -> 0.26 0.310605 -> 0.50 0.616683 -> 0.74 0.194047 -> 0.32 0.724852 -> 0.82
[edit] JavaScript
In the task definition, the first step is 0.06, the rest are 0.05 so a re-factoring can subtract 0.01 from the value and divide by 0.05 to get the step.
Working with decimal numbers in JavaScript has issues, e.g. 0.06 - 0.01 = 0.049999999999999996 due to using IEEE 754 double precision numbers that can't accurately represent all decimals. So values are multiplied by 100 and integer arithmetic is used.
Note that multiplying a string by a number produces a number, the bitwise OR (|) truncates floating point numbers to integer, making it a concise replacement for Math.floor.
Passing a value outside the range 0 <= x < 1.01 will return undefined.
function getScaleFactor(v) {
var values = ['0.10','0.18','0.26','0.32','0.38','0.44','0.50','0.54',
'0.58','0.62','0.66','0.70','0.74','0.78','0.82','0.86',
'0.90','0.94','0.98','1.00'];
return values[(v * 100 - 1) / 5 | 0];
}
[edit] K
Translation of the J solution:
le:- 0.96 0.91 0.86 0.81 0.76 0.71 0.66 0.61 0.56 0.51 0.46 0.41 0.36 0.31 0.26 0.21 0.16 0.11 0.06 0.0
out: 1.00 0.98 0.94 0.90 0.86 0.82 0.78 0.74 0.70 0.66 0.62 0.58 0.54 0.50 0.44 0.38 0.32 0.26 0.18 0.1
pf:{out@_bin[le;-x]}'
Output
pf 0.6094701 0.5003597 0.8512954 0.08951883 0.6868076
0.7 0.62 0.9 0.18 0.78
[edit] Liberty BASIC
dim DR(38) 'decimal range
dim PF(38) 'corresponding price fraction
range$="0.06 0.11 0.16 0.21 0.26 0.31 0.36 0.41 0.46 0.51 0.56 0.61 0.66 0.71 0.76 0.81 0.86 0.91 0.96 0.01"
frac$="0.10 0.18 0.26 0.32 0.38 0.44 0.50 0.54 0.58 0.62 0.66 0.70 0.74 0.78 0.82 0.86 0.90 0.94 0.98 1.00"
for i = 1 to 38
DR(i)=val(word$(range$,i))
PF(i)=val(word$(frac$,i))
next
for i = 0 to .99 step 0.03
print i;" -> ";PriceFraction(i)
next
end
Function PriceFraction(n)
PriceFraction=n 'return original if outside test bounds
for i = 1 to 38
if n<=DR(i) then
PriceFraction=PF(i)
exit for
end if
next
end function
[edit] Mathematica
PriceFraction[x_]:=Piecewise[{{.1, 0 <= x < 0.06}, {.18, x < .11}, {.26,x < 0.16},
{.32, x < .21}, {.38, x < .26}, {.44, x < 0.31}, {.5, x < .36},
{.54, x < .41}, {.58, x < .46}, {.62, x < .51}, {.66, x < .56},
{.70, x < .61}, {.74, x < .66}, {.78, x < .71}, {.82, x < .76},
{.86, x < .81}, {.90, x < .86}, {.94, x < .91}, {.98, x < .96}}, 1]
[edit] MATLAB / Octave
function y = rescale(x)
L = [0,.06:.05:1.02];
V = [.1,.18,.26,.32,.38,.44,.50,.54,.58,.62,.66,.70,.74,.78,.82,.86,.9,.94,.98,1];
y = x;
for k=1:numel(x);
y(k) = V(sum(L<=x(k)));
end;
end;
t=0:0.001:1;
plot(t,rescale(t));
[edit] Mercury
:- module price.
:- interface.
:- import_module int.
:- type price == int.
:- func standard(price) = price.
:- implementation.
:- import_module require, list.
standard(P) = SP :-
require(P >= 0, "P must be positive"),
Cents = P `mod` 100,
P + adjust(Cents) = SP.
:- func adjust(int) = int.
adjust(Cents) = adjust(Cents, rules).
:- func adjust(int, list(price_rule)) = int.
adjust(_, []) = unexpected("price", "adjust/2", "exhausted rules").
adjust(N, [rule(Low, High, To)|T]) = R :-
( N >= Low, N < High -> To - N = R ; adjust(N, T) = R ).
:- type price_rule ---> rule(int, int, int).
:- func rules = list(price_rule).
rules = [rule(00, 06, 10),
rule(06, 11, 18),
rule(11, 16, 26),
rule(16, 21, 32),
rule(21, 26, 38),
rule(26, 31, 44),
rule(31, 36, 50),
rule(36, 41, 54),
rule(41, 46, 58),
rule(46, 51, 62),
rule(51, 56, 66),
rule(56, 61, 70),
rule(61, 66, 74),
rule(66, 71, 78),
rule(71, 76, 82),
rule(76, 81, 86),
rule(81, 86, 90),
rule(86, 91, 94),
rule(91, 96, 98),
rule(96, 101, 100)].
A build system might turn the text of the table into the definition of a hundred-element array of adjustments. In that case,
adjust(Cents) = array.lookup(price_table, Cents).
[edit] MUMPS
PRICFRAC(X)Output:
;Outputs a specified value dependent upon the input value
;The non-inclusive upper limits are encoded in the PFMAX string, and the values
;to convert to are encoded in the PFRES string.
NEW PFMAX,PFRES,I,RESULT
SET PFMAX=".06^.11^.16^.21^.26^.31^.36^.41^.46^.51^.56^.61^.66^.71^.76^.81^.86^.91^.96^1.01"
SET PFRES=".10^.18^.26^.32^.38^.44^.50^.54^.58^.62^.66^.70^.74^.78^.82^.86^.90^.94^.98^1.00"
Q:(X<0)!(X>1.01) ""
FOR I=1:1:$LENGTH(PFMAX,"^") Q:($DATA(RESULT)'=0) SET:X<$P(PFMAX,"^",I) RESULT=$P(PFRES,"^",I)
KILL PFMAX,PFRES,I
QUIT RESULT
USER>W $$PRICFRAC^ROSETTA(.04) .10 USER>W $$PRICFRAC^ROSETTA(.06) .18 USER>W $$PRICFRAC^ROSETTA(.40) .54 USER>W $$PRICFRAC^ROSETTA(1.40) USER>W $$PRICFRAC^ROSETTA(.81) .90
[edit] OCaml
let price_fraction v =
if v < 0.0 || v >= 1.01 then
invalid_arg "price_fraction";
let rec aux = function
| (x,r)::tl ->
if v < x then r
else aux tl
| [] -> assert false
in
aux [
0.06, 0.10; 0.11, 0.18; 0.16, 0.26; 0.21, 0.32; 0.26, 0.38;
0.31, 0.44; 0.36, 0.50; 0.41, 0.54; 0.46, 0.58; 0.51, 0.62;
0.56, 0.66; 0.61, 0.70; 0.66, 0.74; 0.71, 0.78; 0.76, 0.82;
0.81, 0.86; 0.86, 0.90; 0.91, 0.94; 0.96, 0.98; 1.01, 1.00;
]
let () =
let ok_tests = [
(0.3793, 0.54);
(0.4425, 0.58);
(0.0746, 0.18);
(0.6918, 0.78);
(0.2993, 0.44);
(0.5486, 0.66);
(0.7848, 0.86);
(0.9383, 0.98);
(0.2292, 0.38);
] in
Printf.printf " input res ok\n";
List.iter (fun (v,ok) ->
let r = price_fraction v in
Printf.printf " %6g %g %b\n" v r (r = ok);
) ok_tests;
;;
[edit] Oz
Using a for-loop with return and a default value for values >= 1.01. For out-of-range input, a "failed value" is returned, i.e. a value that throws an exception when it is accessed.
fun {PriceFraction X}
OutOfRange = {Value.failed outOfRange(X)}
in
for Limit#Result in
[0.00#OutOfRange
0.06#0.10 0.11#0.18 0.16#0.26 0.21#0.32 0.26#0.38 0.31#0.44 0.36#0.5
0.41#0.54 0.46#0.58 0.51#0.62 0.56#0.66 0.61#0.70 0.66#0.74 0.71#0.78
0.76#0.82 0.81#0.86 0.86#0.90 0.91#0.94 0.96#0.98 1.01#1.00
]
return:Return
default:OutOfRange
do
if X < Limit then {Return Result} end
end
end
[edit] PARI/GP
priceLookup=[6,11,16,21,26,31,41,46,51,56,61,66,71,76,81,86,91,96,101];
priceReplace=[10,18,26,32,38,44,50,54,58,62,66,70,74,78,82,86,90,94,98,100];
pf(x)={
x*=100;
for(i=1,19,
if(x<priceLookup[i], return(priceReplace[i]))
);
"nasal demons"
};
[edit] Pascal
Program PriceFraction(output);
const
limit: array [1..20] of real =
(0.06, 0.11, 0.16, 0.21, 0.26, 0.31, 0.36, 0.41, 0.46, 0.51,
0.56, 0.61, 0.66, 0.71, 0.76, 0.81, 0.86, 0.91, 0.96, 1.01);
price: array [1..20] of real =
(0.10, 0.18, 0.26, 0.32, 0.38, 0.44, 0.50, 0.54, 0.58, 0.62,
0.66, 0.70, 0.74, 0.78, 0.81, 0.86, 0.90, 0.94, 0.98, 1.00);
var
cost: real;
i, j: integer;
begin
randomize;
for i := 1 to 10 do
begin
cost := random;
j := high(limit);
while cost < limit[j] do
dec(j);
writeln (cost:6:4, ' -> ', price[j+1]:4:2);
end;
end.
Output:
% ./PriceFraction 0.8145 -> 0.90 0.6347 -> 0.74 0.0464 -> 0.10 0.9603 -> 1.00 0.3629 -> 0.54 0.5074 -> 0.62 0.4516 -> 0.58 0.2340 -> 0.38 0.4142 -> 0.58 0.8327 -> 0.90
[edit] Perl
my @table = map [ /([\d\.]+)/g ], split "\n", <<'TBL';
>= 0.00 < 0.06 := 0.10
>= 0.06 < 0.11 := 0.18
>= 0.11 < 0.16 := 0.26
>= 0.16 < 0.21 := 0.32
>= 0.21 < 0.26 := 0.38
>= 0.26 < 0.31 := 0.44
>= 0.31 < 0.36 := 0.50
>= 0.36 < 0.41 := 0.54
>= 0.41 < 0.46 := 0.58
>= 0.46 < 0.51 := 0.62
>= 0.51 < 0.56 := 0.66
>= 0.56 < 0.61 := 0.70
>= 0.61 < 0.66 := 0.74
>= 0.66 < 0.71 := 0.78
>= 0.71 < 0.76 := 0.82
>= 0.76 < 0.81 := 0.86
>= 0.81 < 0.86 := 0.90
>= 0.86 < 0.91 := 0.94
>= 0.91 < 0.96 := 0.98
>= 0.96 < 1.01 := 1.00
TBL
sub convert {
my $money = shift;
for (@table) {
return $_->[2] if $_->[0] <= $money and $_->[1] > $money
}
die "Can't find currency conversion for $money. Counterfeit?"
}
# try it out
for (1 .. 10) {
my $m = rand(1);
printf "%.3f -> %g\n", $m, convert($m);
}
[edit] Perl 6
my $table = "
>= 0.00 < 0.06 := 0.10
>= 0.06 < 0.11 := 0.18
>= 0.11 < 0.16 := 0.26
>= 0.16 < 0.21 := 0.32
>= 0.21 < 0.26 := 0.38
>= 0.26 < 0.31 := 0.44
>= 0.31 < 0.36 := 0.50
>= 0.36 < 0.41 := 0.54
>= 0.41 < 0.46 := 0.58
>= 0.46 < 0.51 := 0.62
>= 0.51 < 0.56 := 0.66
>= 0.56 < 0.61 := 0.70
>= 0.61 < 0.66 := 0.74
>= 0.66 < 0.71 := 0.78
>= 0.71 < 0.76 := 0.82
>= 0.76 < 0.81 := 0.86
>= 0.81 < 0.86 := 0.90
>= 0.86 < 0.91 := 0.94
>= 0.91 < 0.96 := 0.98
>= 0.96 < 1.01 := 1.00
";
my $value = 0.44;
say price($value);
sub price($value)
{
for $table.lines -> $line {
$line ~~ / '>=' \s+ (\S+) \s+ '<' \s+ (\S+) \s+ ':=' \s+ (\S+)/;
return $2 if $0 <= $value < $1;
}
fail "Out of range";
}
Perhaps a better approach is just to build an array of 101 entries. Memory is cheap, and array lookup is blazing fast, especially important if used in a loop as below. Moreover, in Perl 6 we don't have to worry about floating point misrepresentations of decimals because decimal fractions are stored as rationals.
my @price = map *.value,
( 0 ..^ 6 X=> 0.10),
( 6 ..^ 11 X=> 0.18),
(11 ..^ 16 X=> 0.26),
(16 ..^ 21 X=> 0.32),
(21 ..^ 26 X=> 0.38),
(26 ..^ 31 X=> 0.44),
(31 ..^ 36 X=> 0.50),
(36 ..^ 41 X=> 0.54),
(41 ..^ 46 X=> 0.58),
(46 ..^ 51 X=> 0.62),
(51 ..^ 56 X=> 0.66),
(56 ..^ 61 X=> 0.70),
(61 ..^ 66 X=> 0.74),
(66 ..^ 71 X=> 0.78),
(71 ..^ 76 X=> 0.82),
(76 ..^ 81 X=> 0.86),
(81 ..^ 86 X=> 0.90),
(86 ..^ 91 X=> 0.94),
(91 ..^ 96 X=> 0.98),
(96 ..^101 X=> 1.00),
;
while prompt("value: ") -> $value {
say @price[ $value * 100 ] // note "Out of range";
}
Yet another approach is to use the conditional operator to encode the table. This allows each endpoint to be written once, avoiding duplication.
sub price_fraction ( Num $n where { $^n >= 0 and $^n <= 1 } ) {
( $n < 0.06 ) ?? 0.10
!! ( $n < 0.11 ) ?? 0.18
!! ( $n < 0.16 ) ?? 0.26
!! ( $n < 0.21 ) ?? 0.32
!! ( $n < 0.26 ) ?? 0.38
!! ( $n < 0.31 ) ?? 0.44
!! ( $n < 0.36 ) ?? 0.50
!! ( $n < 0.41 ) ?? 0.54
!! ( $n < 0.46 ) ?? 0.58
!! ( $n < 0.51 ) ?? 0.62
!! ( $n < 0.56 ) ?? 0.66
!! ( $n < 0.61 ) ?? 0.70
!! ( $n < 0.66 ) ?? 0.74
!! ( $n < 0.71 ) ?? 0.78
!! ( $n < 0.76 ) ?? 0.82
!! ( $n < 0.81 ) ?? 0.86
!! ( $n < 0.86 ) ?? 0.90
!! ( $n < 0.91 ) ?? 0.94
!! ( $n < 0.96 ) ?? 0.98
!! 1.00
;
}
while prompt("value: ") -> $value {
last if $value ~~ /exit|quit/;
say price_fraction(+$value);
}
[edit] PicoLisp
(scl 2)
(de price (Pr)
(format
(cdr
(rank Pr
(quote
(0.00 . 0.10)
(0.06 . 0.18)
(0.11 . 0.26)
(0.16 . 0.32)
(0.21 . 0.38)
(0.26 . 0.44)
(0.31 . 0.50)
(0.36 . 0.54)
(0.41 . 0.58)
(0.46 . 0.62)
(0.51 . 0.66)
(0.56 . 0.70)
(0.61 . 0.74)
(0.66 . 0.78)
(0.71 . 0.82)
(0.76 . 0.86)
(0.81 . 0.90)
(0.86 . 0.94)
(0.91 . 0.98)
(0.96 . 1.00) ) ) )
*Scl ) )
(for N (0.3793 0.4425 0.0746 0.6918 0.2993 0.5486 0.7848 0.9383 0.2292)
(prinl (price N)) )
Output:
0.54 0.58 0.18 0.78 0.44 0.66 0.86 0.98 0.38
[edit] PL/I
[edit] version 1
declare t(20) fixed decimal (3,2) static initial (
.06, .11, .16, .21, .26, .31, .36, .41, .46, .51,
.56, .61, .66, .71, .76, .81, .86, .91, .96, 1.01);
declare r(20) fixed decimal (3,2) static initial (
.10, .18, .26, .32, .38, .44, .50, .54, .58, .62,
.66, .70, .74, .78, .82, .86, .90, .94, .98, 1);
declare x float, d fixed decimal (3,2);
declare i fixed binary;
loop:
do i = 1 to 20;
if x < t(i) then
do; d = r(i); leave loop; end;
end;
[edit] version 2
cpt: Proc Options(main);
Dcl x Dec Fixed(4,2);
Do x=0 To 1 By 0.01;
Put Edit(x,' -> ',cp(x))(Skip,f(4,2),a,f(4,2));
End;
cp: Proc(p) Returns(Dec Fixed(4,2));
Dcl r(20) Dec Fixed(4,2) static init(
.10, .18, .26, .32, .38, .44, .50, .54, .58, .62,
.66, .70, .74, .78, .82, .86, .90, .94, .98, 1);
Dcl p Dec Fixed(4,2);
Dcl i Bin Fixed;
i=trunc((100*p-1)/5)+1;
Return(r(i));
End;
End;
[edit] PureBasic
Procedure.f PriceFraction(price.f)
;returns price unchanged if value is invalid
Protected fraction
Select price * 100
Case 0 To 5
fraction = 10
Case 06 To 10
fraction = 18
Case 11 To 15
fraction = 26
Case 16 To 20
fraction = 32
Case 21 To 25
fraction = 38
Case 26 To 30
fraction = 44
Case 31 To 35
fraction = 5
Case 36 To 40
fraction = 54
Case 41 To 45
fraction = 58
Case 46 To 50
fraction = 62
Case 51 To 55
fraction = 66
Case 56 To 60
fraction = 7
Case 61 To 65
fraction = 74
Case 66 To 70
fraction = 78
Case 71 To 75
fraction = 82
Case 76 To 80
fraction = 86
Case 81 To 85
fraction = 9
Case 86 To 90
fraction = 94
Case 91 To 95
fraction = 98
Case 96 To 100
fraction = 100
Default
ProcedureReturn price
EndSelect
ProcedureReturn fraction / 100
EndProcedure
If OpenConsole()
Define x.f, i
For i = 1 To 10
x = Random(10000)/10000
PrintN(StrF(x, 4) + " -> " + StrF(PriceFraction(x), 2))
Next
Print(#CRLF$ + #CRLF$ + "Press ENTER to exit")
Input()
CloseConsole()
EndIf
Sample output:
0.3793 -> 0.54 0.4425 -> 0.58 0.0746 -> 0.18 0.6918 -> 0.78 0.2993 -> 0.44 0.5486 -> 0.66 0.7848 -> 0.86 0.9383 -> 0.98 0.2292 -> 0.38 0.9560 -> 1.00
[edit] Python
Using the bisect standard module to reduce the comparisons with members of the cin array.
>>> import bisect
>>> _cin = [.06, .11, .16, .21, .26, .31, .36, .41, .46, .51, .56, .61, .66, .71, .76, .81, .86, .91, .96, 1.01]
>>> _cout = [.10, .18, .26, .32, .38, .44, .50, .54, .58, .62, .66, .70, .74, .78, .82, .86, .90, .94, .98, 1.00]
>>> def pricerounder(pricein):
return _cout[ bisect.bisect_right(_cin, pricein) ]
When dealing with money it is good to think about possible loss of precision. If we change the units to be integer cents we could use the following exact routine:
>>> import bisect
>>> _cin = [ 6, 11, 16, 21, 26, 31, 36, 41, 46, 51, 56, 61, 66, 71, 76, 81, 86, 91, 96, 101]
>>> _cout = [10, 18, 26, 32, 38, 44, 50, 54, 58, 62, 66, 70, 74, 78, 82, 86, 90, 94, 98, 100]
>>> def centsrounder(centsin):
return _cout[ bisect.bisect_right(_cin, centsin) ]
Other options are to use the fractions or decimals modules for calculating money to a known precision.
Bisection library code
- The
bisectPython standard library function uses the following code that improves on a simple linear scan through a sorted list: def bisect_right(a, x, lo=0, hi=None):
"""Return the index where to insert item x in list a, assuming a is sorted.
The return value i is such that all e in a[:i] have e <= x, and all e in
a[i:] have e > x. So if x already appears in the list, a.insert(x) will
insert just after the rightmost x already there.
Optional args lo (default 0) and hi (default len(a)) bound the
slice of a to be searched.
"""
if lo < 0:
raise ValueError('lo must be non-negative')
if hi is None:
hi = len(a)
while lo < hi:
mid = (lo+hi)//2
if x < a[mid]: hi = mid
else: lo = mid+1
return lo
[edit] R
price_fraction <- function(x)
{
stopifnot(all(x >= 0 & x <= 1))
breaks <- seq(0.06, 1.01, 0.05)
values <- c(.1, .18, .26, .32, .38, .44, .5, .54, .58, .62, .66, .7, .74, .78, .82, .86, .9, .94, .98, 1)
indices <- sapply(x, function(x) which(x < breaks)[1])
values[indices]
}
#Example usage:
price_fraction(c(0, .01, 0.06, 0.25, 1)) # 0.10 0.10 0.18 0.38 1.00
You can extract the contents of the table as follows:
dfr <- read.table(tc <- textConnection(
">= 0.00 < 0.06 := 0.10
>= 0.06 < 0.11 := 0.18
>= 0.11 < 0.16 := 0.26
>= 0.16 < 0.21 := 0.32
>= 0.21 < 0.26 := 0.38
>= 0.26 < 0.31 := 0.44
>= 0.31 < 0.36 := 0.50
>= 0.36 < 0.41 := 0.54
>= 0.41 < 0.46 := 0.58
>= 0.46 < 0.51 := 0.62
>= 0.51 < 0.56 := 0.66
>= 0.56 < 0.61 := 0.70
>= 0.61 < 0.66 := 0.74
>= 0.66 < 0.71 := 0.78
>= 0.71 < 0.76 := 0.82
>= 0.76 < 0.81 := 0.86
>= 0.81 < 0.86 := 0.90
>= 0.86 < 0.91 := 0.94
>= 0.91 < 0.96 := 0.98
>= 0.96 < 1.01 := 1.00")); close(tc)
breaks <- dfr$V4
values <- dfr$V6
[edit] Racket
#lang racket
(define table
'([0 #f]
[0.06 0.10] [0.11 0.18] [0.16 0.26] [0.21 0.32] [0.26 0.38] [0.31 0.44]
[0.36 0.50] [0.41 0.54] [0.46 0.58] [0.51 0.62] [0.56 0.66] [0.61 0.70]
[0.66 0.74] [0.71 0.78] [0.76 0.82] [0.81 0.86] [0.86 0.90] [0.91 0.94]
[0.96 0.98] [1.01 1.00])
;; returns #f for negatives or values >= 1.01
(define (convert x) (for/or ([c table]) (and (< x (car c)) (cadr c))))
[edit] Raven
define getScaleFactor use $v
[ 0.1 0.18 0.26 0.32 0.38 0.44 0.50 0.54 0.58 0.62 0.66 0.70 0.74 0.78 0.82 0.86 0.90 0.94 0.98 1.0 ] as $vals
$v 100 * 1 - 5 / 20 min 0 max 1 prefer dup $v "val: %g indx: %d\n" print $vals swap get
0 100 9 range each
100.0 / dup getScaleFactor swap "%.2g -> %.2g\n" print
- Output:
0 -> 0.1 0.09 -> 0.18 0.18 -> 0.32 0.27 -> 0.44 0.36 -> 0.54 0.45 -> 0.58 0.54 -> 0.66 0.63 -> 0.74 0.72 -> 0.82 0.81 -> 0.9 0.9 -> 0.94 0.99 -> 1
[edit] REXX
[edit] version 1
/*REXX program to rescale a (decimal fraction) price (0.99 ──► 1.00).*/
pad=' ' /*for inserting spaces into msg. */
do j=0 to 1 by .01; if j==0 then j=0.00 /*special case.*/
say pad 'original price ──►' j pad adjPrice(j) " ◄── adjusted price"
end /*j*/
exit /*stick a fork in it, we're done.*/
/*──────────────────────────────────ADJPRICE subroutine─────────────────*/
adjPrice: procedure; parse arg ?
select
when ?<0.06 then ?=0.10
when ?<0.11 then ?=0.18
when ?<0.16 then ?=0.26
when ?<0.21 then ?=0.32
when ?<0.26 then ?=0.38
when ?<0.31 then ?=0.44
when ?<0.36 then ?=0.50
when ?<0.41 then ?=0.54
when ?<0.46 then ?=0.58
when ?<0.51 then ?=0.62
when ?<0.56 then ?=0.66
when ?<0.61 then ?=0.70
when ?<0.66 then ?=0.74
when ?<0.71 then ?=0.78
when ?<0.76 then ?=0.82
when ?<0.81 then ?=0.86
when ?<0.86 then ?=0.90
when ?<0.91 then ?=0.94
when ?<0.96 then ?=0.98
when ?<1.01 then ?=1.00
otherwise nop
end /*select*/
return ?
output
original price ──► 0.00 0.10 ◄── adjusted price
original price ──► 0.01 0.10 ◄── adjusted price
original price ──► 0.02 0.10 ◄── adjusted price
original price ──► 0.03 0.10 ◄── adjusted price
original price ──► 0.04 0.10 ◄── adjusted price
original price ──► 0.05 0.10 ◄── adjusted price
original price ──► 0.06 0.18 ◄── adjusted price
original price ──► 0.07 0.18 ◄── adjusted price
original price ──► 0.08 0.18 ◄── adjusted price
original price ──► 0.09 0.18 ◄── adjusted price
original price ──► 0.10 0.18 ◄── adjusted price
original price ──► 0.11 0.26 ◄── adjusted price
original price ──► 0.12 0.26 ◄── adjusted price
original price ──► 0.13 0.26 ◄── adjusted price
original price ──► 0.14 0.26 ◄── adjusted price
original price ──► 0.15 0.26 ◄── adjusted price
original price ──► 0.16 0.32 ◄── adjusted price
original price ──► 0.17 0.32 ◄── adjusted price
original price ──► 0.18 0.32 ◄── adjusted price
original price ──► 0.19 0.32 ◄── adjusted price
original price ──► 0.20 0.32 ◄── adjusted price
original price ──► 0.21 0.38 ◄── adjusted price
original price ──► 0.22 0.38 ◄── adjusted price
original price ──► 0.23 0.38 ◄── adjusted price
original price ──► 0.24 0.38 ◄── adjusted price
original price ──► 0.25 0.38 ◄── adjusted price
original price ──► 0.26 0.44 ◄── adjusted price
original price ──► 0.27 0.44 ◄── adjusted price
original price ──► 0.28 0.44 ◄── adjusted price
original price ──► 0.29 0.44 ◄── adjusted price
original price ──► 0.30 0.44 ◄── adjusted price
original price ──► 0.31 0.50 ◄── adjusted price
original price ──► 0.32 0.50 ◄── adjusted price
original price ──► 0.33 0.50 ◄── adjusted price
original price ──► 0.34 0.50 ◄── adjusted price
original price ──► 0.35 0.50 ◄── adjusted price
original price ──► 0.36 0.54 ◄── adjusted price
original price ──► 0.37 0.54 ◄── adjusted price
original price ──► 0.38 0.54 ◄── adjusted price
original price ──► 0.39 0.54 ◄── adjusted price
original price ──► 0.40 0.54 ◄── adjusted price
original price ──► 0.41 0.58 ◄── adjusted price
original price ──► 0.42 0.58 ◄── adjusted price
original price ──► 0.43 0.58 ◄── adjusted price
original price ──► 0.44 0.58 ◄── adjusted price
original price ──► 0.45 0.58 ◄── adjusted price
original price ──► 0.46 0.62 ◄── adjusted price
original price ──► 0.47 0.62 ◄── adjusted price
original price ──► 0.48 0.62 ◄── adjusted price
original price ──► 0.49 0.62 ◄── adjusted price
original price ──► 0.50 0.62 ◄── adjusted price
original price ──► 0.51 0.66 ◄── adjusted price
original price ──► 0.52 0.66 ◄── adjusted price
original price ──► 0.53 0.66 ◄── adjusted price
original price ──► 0.54 0.66 ◄── adjusted price
original price ──► 0.55 0.66 ◄── adjusted price
original price ──► 0.56 0.70 ◄── adjusted price
original price ──► 0.57 0.70 ◄── adjusted price
original price ──► 0.58 0.70 ◄── adjusted price
original price ──► 0.59 0.70 ◄── adjusted price
original price ──► 0.60 0.70 ◄── adjusted price
original price ──► 0.61 0.74 ◄── adjusted price
original price ──► 0.62 0.74 ◄── adjusted price
original price ──► 0.63 0.74 ◄── adjusted price
original price ──► 0.64 0.74 ◄── adjusted price
original price ──► 0.65 0.74 ◄── adjusted price
original price ──► 0.66 0.78 ◄── adjusted price
original price ──► 0.67 0.78 ◄── adjusted price
original price ──► 0.68 0.78 ◄── adjusted price
original price ──► 0.69 0.78 ◄── adjusted price
original price ──► 0.70 0.78 ◄── adjusted price
original price ──► 0.71 0.82 ◄── adjusted price
original price ──► 0.72 0.82 ◄── adjusted price
original price ──► 0.73 0.82 ◄── adjusted price
original price ──► 0.74 0.82 ◄── adjusted price
original price ──► 0.75 0.82 ◄── adjusted price
original price ──► 0.76 0.86 ◄── adjusted price
original price ──► 0.77 0.86 ◄── adjusted price
original price ──► 0.78 0.86 ◄── adjusted price
original price ──► 0.79 0.86 ◄── adjusted price
original price ──► 0.80 0.86 ◄── adjusted price
original price ──► 0.81 0.90 ◄── adjusted price
original price ──► 0.82 0.90 ◄── adjusted price
original price ──► 0.83 0.90 ◄── adjusted price
original price ──► 0.84 0.90 ◄── adjusted price
original price ──► 0.85 0.90 ◄── adjusted price
original price ──► 0.86 0.94 ◄── adjusted price
original price ──► 0.87 0.94 ◄── adjusted price
original price ──► 0.88 0.94 ◄── adjusted price
original price ──► 0.89 0.94 ◄── adjusted price
original price ──► 0.90 0.94 ◄── adjusted price
original price ──► 0.91 0.98 ◄── adjusted price
original price ──► 0.92 0.98 ◄── adjusted price
original price ──► 0.93 0.98 ◄── adjusted price
original price ──► 0.94 0.98 ◄── adjusted price
original price ──► 0.95 0.98 ◄── adjusted price
original price ──► 0.96 1.00 ◄── adjusted price
original price ──► 0.97 1.00 ◄── adjusted price
original price ──► 0.98 1.00 ◄── adjusted price
original price ──► 0.99 1.00 ◄── adjusted price
original price ──► 1.00 1.00 ◄── adjusted price
[edit] version 2
/* REXX ***************************************************************
* Inspired by some other solutions tested with version 1 (above)
* 20.04.2013 Walter Pachl
**********************************************************************/
Do x=0 To 1 By 0.01
old=adjprice(x)
new=adjprice2(x)
If old<>new Then tag='??'
else tag=''
Say x old new tag
End
Exit
adjprice2: Procedure
rl='0.10 0.18 0.26 0.32 0.38 0.44 0.50 0.54 0.58 0.62',
'0.66 0.70 0.74 0.78 0.82 0.86 0.90 0.94 0.98 1.00'
Do i=1 To 20
Parse Var rl r.i rl
End
Parse Arg p
i=((100*p-1)%5+1)
Return r.i
[edit] Ruby
A simple function with hardcoded values.
def rescale_price_fraction(value)
raise ArgumentError, "value=#{value}, must have: 0 <= value < 1.01" if value < 0 || value >= 1.01
if value < 0.06 then 0.10
elsif value < 0.11 then 0.18
elsif value < 0.16 then 0.26
elsif value < 0.21 then 0.32
elsif value < 0.26 then 0.38
elsif value < 0.31 then 0.44
elsif value < 0.36 then 0.50
elsif value < 0.41 then 0.54
elsif value < 0.46 then 0.58
elsif value < 0.51 then 0.62
elsif value < 0.56 then 0.66
elsif value < 0.61 then 0.70
elsif value < 0.66 then 0.74
elsif value < 0.71 then 0.78
elsif value < 0.76 then 0.82
elsif value < 0.81 then 0.86
elsif value < 0.86 then 0.90
elsif value < 0.91 then 0.94
elsif value < 0.96 then 0.98
elsif value < 1.01 then 1.00
end
end
Or, where we can cut and paste the textual table in one place
for theString#lines method.
For Ruby 1.8.6, use String#each_line
class Price
ConversionTable = <<-END_OF_TABLE
>= 0.00 < 0.06 := 0.10
>= 0.06 < 0.11 := 0.18
>= 0.11 < 0.16 := 0.26
>= 0.16 < 0.21 := 0.32
>= 0.21 < 0.26 := 0.38
>= 0.26 < 0.31 := 0.44
>= 0.31 < 0.36 := 0.50
>= 0.36 < 0.41 := 0.54
>= 0.41 < 0.46 := 0.58
>= 0.46 < 0.51 := 0.62
>= 0.51 < 0.56 := 0.66
>= 0.56 < 0.61 := 0.70
>= 0.61 < 0.66 := 0.74
>= 0.66 < 0.71 := 0.78
>= 0.71 < 0.76 := 0.82
>= 0.76 < 0.81 := 0.86
>= 0.81 < 0.86 := 0.90
>= 0.86 < 0.91 := 0.94
>= 0.91 < 0.96 := 0.98
>= 0.96 < 1.01 := 1.00
END_OF_TABLE
RE = %r{ ([<>=]+) \s* (\d\.\d\d) \s* ([<>=]+) \s* (\d\.\d\d) \D+ (\d\.\d\d) }x
# extract the comparison operators and numbers from the table
CONVERSION_TABLE = ConversionTable.lines.inject([]) do |table, line|
m = line.match(RE)
if not m.nil? and m.length == 6
table << [m[1], m[2].to_f, m[3], m[4].to_f, m[5].to_f]
end
table
end
MIN_COMP, MIN = CONVERSION_TABLE[0][0..1]
MAX_COMP, MAX = CONVERSION_TABLE[-1][2..3]
def initialize(value)
if (not value.send(MIN_COMP, MIN)) or (not value.send(MAX_COMP, MAX))
raise ArgumentError, "value=#{value}, must have: #{MIN} #{MIN_COMP} value #{MAX_COMP} #{MAX}"
end
@standard_value = CONVERSION_TABLE.find do |comp1, lower, comp2, upper, standard|
value.send(comp1, lower) and value.send(comp2, upper)
end.last
end
attr_reader :standard_value
end
And a test suite
require 'test/unit'
class PriceFractionTests < Test::Unit::TestCase
@@ok_tests = [
[0.3793, 0.54],
[0.4425, 0.58],
[0.0746, 0.18],
[0.6918, 0.78],
[0.2993, 0.44],
[0.5486, 0.66],
[0.7848, 0.86],
[0.9383, 0.98],
[0.2292, 0.38],
]
@@bad_tests = [1.02, -3]
def test_ok
@@ok_tests.each do |val, exp|
assert_equal(exp, rescale_price_fraction(val))
assert_equal(exp, Price.new(val).standard_value)
end
@@bad_tests.each do |val|
assert_raise(ArgumentError) {rescale_price_fraction(val)}
assert_raise(ArgumentError) {Price.new(val).standard_value}
end
end
end
output
Loaded suite price_fraction Started . Finished in 0.001000 seconds. 1 tests, 22 assertions, 0 failures, 0 errors, 0 skips
[edit] Run BASIC
data .06, .1,.11,.18,.16,.26,.21,.32,.26,.38,.31,.44,.36,.50,.41,.54,.46,.58,.51,.62
data .56,.66,.61,.70,.66,.74,.71,.78,.76,.82,.81,.86,.86,.90,.91,.94,.96,.98
dim od(100)
dim nd(100)
for i = 1 to 19
read oldDec
read newDec
j = j + 1
for j = j to oldDec * 100
nd(j) = newDec
next j
next i
[loop]
input "Gimme a number";numb
decm = val(using("##",(numb mod 1) * 100))
print numb;" -->";nd(decm)
goto [loop]
Gimme a number?12.676 12.676 -->0.78 Gimme a number?4.876 4.876 -->0.94 Gimme a number?34.12 34.12 -->0.26
[edit] Scala
def priceFraction(x:Double)=x match {
case n if n>=0 && n<0.06 => 0.10
case n if n<0.11 => 0.18
case n if n<0.36 => ((((n*100).toInt-11)/5)*6+26)/100.toDouble
case n if n<0.96 => ((((n*100).toInt-31)/5)*4+50)/100.toDouble
case _ => 1.00
}
def testPriceFraction()=
for(n <- 0.00 to (1.00, 0.01)) println("%.2f %.2f".format(n, priceFraction(n)))
Output
0,00 0,10 0,01 0,10 0,02 0,10 0,03 0,10 0,04 0,10 0,05 0,10 0,06 0,18 ... 0,25 0,38 0,26 0,44 0,27 0,44 0,28 0,44 0,29 0,44 0,30 0,44 0,31 0,50 0,32 0,50 0,33 0,50 0,34 0,50 0,35 0,50 0,36 0,54 0,37 0,54 ... 0,88 0,94 0,89 0,94 0,90 0,94 0,91 0,98 0,92 0,98 0,93 0,98 0,94 0,98 0,95 0,98 0,96 1,00 0,97 1,00 0,98 1,00 0,99 1,00 1,00 1,00
[edit] Seed7
$ include "seed7_05.s7i";
include "float.s7i";
const func float: computePrice (in float: x) is func
result
var float: price is 0.0;
begin
if x >= 0.0 and x < 0.06 then
price := 0.10;
elsif x < 0.11 then
price := 0.18;
elsif x < 0.36 then
price := flt(((trunc(x * 100.0) - 11) div 5) * 6 + 26) / 100.0;
elsif x < 0.96 then
price := flt(((trunc(x * 100.0) - 31) div 5) * 4 + 50) / 100.0;
else
price := 1.0;
end if;
end func;
const proc: main is func
local
var integer: i is 0;
begin
for i range 0 to 100 do
writeln(flt(i) / 100.0 digits 2 <& " " <& computePrice(flt(i) / 100.0) digits 2);
end for;
end func;
The following variant of computePrice works with a table and raises RANGE_ERROR when x < 0.0 or x >= 1.01 holds:
const array array float: table is [] (
[] (0.06, 0.10), [] (0.11, 0.18), [] (0.16, 0.26), [] (0.21, 0.32), [] (0.26, 0.38),
[] (0.31, 0.44), [] (0.36, 0.50), [] (0.41, 0.54), [] (0.46, 0.58), [] (0.51, 0.62),
[] (0.56, 0.66), [] (0.61, 0.70), [] (0.66, 0.74), [] (0.71, 0.78), [] (0.76, 0.82),
[] (0.81, 0.86), [] (0.86, 0.90), [] (0.91, 0.94), [] (0.96, 0.98), [] (1.01, 1.00));
const func float: computePrice (in float: x) is func
result
var float: price is 0.0;
local
var integer: index is 1;
begin
if x >= 0.0 then
while x >= table[index][1] do
incr(index);
end while;
price := table[index][2];
else
raise RANGE_ERROR;
end if;
end func;
[edit] Smalltalk
"Table driven rescale"
Object subclass: PriceRescale [
|table|
PriceRescale class >> new: theTable [
^ self basicNew initialize: theTable
]
initialize: theTable [
table := theTable asOrderedCollection.
^self
]
rescale: aPrice [ |v1 v2|
1 to: (table size - 1) do: [:i|
v1 := table at: i.
v2 := table at: (i+1).
((aPrice >= (v1 x)) & (aPrice < (v2 x)))
ifTrue: [ ^ v1 y ]
].
(aPrice < ((v1:=(table first)) x)) ifTrue: [ ^ v1 y ].
(aPrice >= ((v1:=(table last)) x)) ifTrue: [ ^ v1 y ]
]
].
|pr|
pr := PriceRescale
new: { 0.00@0.10 .
0.06@0.18 .
0.11@0.26 .
0.16@0.32 .
0.21@0.38 .
0.26@0.44 .
0.31@0.50 .
0.36@0.54 .
0.41@0.58 .
0.46@0.62 .
0.51@0.66 .
0.56@0.70 .
0.61@0.74 .
0.66@0.78 .
0.71@0.82 .
0.76@0.86 .
0.81@0.90 .
0.86@0.94 .
0.91@0.98 .
0.96@1.00 .
1.01@1.00
}.
"get a price"
(pr rescale: ( (Random between: 0 and: 100)/100 )) displayNl.
[edit] Tcl
Structured as two functions, one to parse the input data as described in the problem into a form which Tcl can work with easily, and the other to perform the mapping.
# Used once to turn the table into a "nice" form
proc parseTable table {
set map {}
set LINE_RE {^ *>= *([0-9.]+) *< *([0-9.]+) *:= *([0-9.]+) *$}
foreach line [split $table \n] {
if {[string trim $line] eq ""} continue
if {[regexp $LINE_RE $line -> min max target]} {
lappend map $min $max $target
} else {
error "invalid table format: $line"
}
}
return $map
}
# How to apply the "nice" table to a particular value
proc priceFraction {map value} {
foreach {minimum maximum target} $map {
if {$value >= $minimum && $value < $maximum} {return $target}
}
# Failed to map; return the input
return $value
}
How it is used:
# Make the mapping
set inputTable {
>= 0.00 < 0.06 := 0.10
>= 0.06 < 0.11 := 0.18
>= 0.11 < 0.16 := 0.26
>= 0.16 < 0.21 := 0.32
>= 0.21 < 0.26 := 0.38
>= 0.26 < 0.31 := 0.44
>= 0.31 < 0.36 := 0.50
>= 0.36 < 0.41 := 0.54
>= 0.41 < 0.46 := 0.58
>= 0.46 < 0.51 := 0.62
>= 0.51 < 0.56 := 0.66
>= 0.56 < 0.61 := 0.70
>= 0.61 < 0.66 := 0.74
>= 0.66 < 0.71 := 0.78
>= 0.71 < 0.76 := 0.82
>= 0.76 < 0.81 := 0.86
>= 0.81 < 0.86 := 0.90
>= 0.86 < 0.91 := 0.94
>= 0.91 < 0.96 := 0.98
>= 0.96 < 1.01 := 1.00
}
set map [parseTable $inputTable]
# Apply the mapping to some inputs (from the Oz example)
foreach example {.7388727 .8593103 .826687 .3444635 .0491907} {
puts "$example -> [priceFraction $map $example]"
}
Output:
.7388727 -> 0.82 .8593103 -> 0.90 .826687 -> 0.90 .3444635 -> 0.50 .0491907 -> 0.10
[edit] Ursala
#import flo
le = <0.06,.11,.16,.21,.26,.31,.36,.41,.46,.51,.56,.61,.66,.71,.76,.81,.86,.91,.96,1.01>
out = <0.10,.18,.26,.32,.38,.44,.50,.54,.58,.62,.66,.70,.74,.78,.82,.86,.90,.94,.98,1.>
price_fraction = fleq@rlPlX*|rhr\~&p(le,out)
main points:
-
~&p(le,out)zips the pair of listsleandoutinto a list of pairs - A function of the form
f\yapplied to an argumentxevaluates tof(x,y) - A function of the form
f*|applied to a pair(x,y)whereyis a list, makes a list of pairs withxon the left of each item and an item ofyon the right. Then it appliesfto each pair, makes a list of the right sides of those for whichfreturned true, and makes a separate list of the right sides of those for whichfreturned false. - The suffix
rhrafter the*|operator extracts the right side of the head of the right list from the result. - The operand to the
*|operator,fleq@rlPlXis the less-or-equal predicate on floating point numbers, composed with the function~&rlPlXwhich transforms a triple(u,(v,w))to(v,u)
test program:
#cast %eL
test = price_fraction* <0.34,0.070145,0.06,0.05,0.50214,0.56,1.,0.99,0.>
output:
< 5.000000e-01, 1.800000e-01, 1.800000e-01, 1.000000e-01, 6.200000e-01, 7.000000e-01, 1.000000e+00, 1.000000e+00, 1.000000e-01>
[edit] XPL0
include c:\cxpl\codes; \intrinsic 'code' declarations
func real Price(V); \Convert to standard value
real V;
[V:= V + 0.001; \avoids possible rounding error i.e. 0.059999999
case of
V < 0.06: ret 0.10;
V < 0.11: ret 0.18;
V < 0.16: ret 0.26;
V < 0.21: ret 0.32;
V < 0.26: ret 0.38;
V < 0.31: ret 0.44;
V < 0.36: ret 0.50;
V < 0.41: ret 0.54;
V < 0.46: ret 0.58;
V < 0.51: ret 0.62;
V < 0.56: ret 0.66;
V < 0.61: ret 0.70;
V < 0.66: ret 0.74;
V < 0.71: ret 0.78;
V < 0.76: ret 0.82;
V < 0.81: ret 0.86;
V < 0.86: ret 0.90;
V < 0.91: ret 0.94;
V < 0.96: ret 0.98
other ret 1.00;
];
[Format(1,2);
RlOut(0, Price(0.0599)); CrLf(0);
RlOut(0, Price(0.10)); CrLf(0);
RlOut(0, Price(1.0)); CrLf(0);
]
Output:
0.18 0.18 1.00
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