Price fraction
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 specialized 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
Ada
<lang 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; </lang> The solution uses fixed point type to prevent rounding and representation issues. With the above declarations a full coverage test: <lang Ada> 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; </lang>
- 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
ALGOL 68
- note: This specimen retains the original C coding style.
<lang algol68>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))
)</lang>
- Output:
Value : 0.38 Converted to standard : 0.54
AutoHotkey
<lang 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)
}</lang>
AWK
<lang 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])
}
}
} </lang>
BASIC
This could also be done by building an array, but I felt that this was simpler.
<lang qbasic>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</lang>
- Output:
(run 5 times)
.7388727 .82 .8593103 .9 .826687 .9 .3444635 .5 .0491907 .1
Commodore BASIC
We'll use a couple of arrays for translation. Should work for several other 8-bit BASICs after converting the screen control codes.
<lang gwbasic>1 rem price fraction 2 rem rosetta code 10 data 0.06,0.1,0.11,0.18,0.16,0.26,0.21,0.32,0.26,0.38,0.31,0.44,0.36,0.5 20 data 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 30 data 0.76,0.82,0.81,0.86,0.86,0.90,0.91,0.94,0.96,0.98,1.01,1.0 35 rem up=user price, th=threshold, pr=price, np=new price 40 dim th(20),pr(20):th(0)=0:pr(0)=0 45 for i=1 to 20:read th(i),pr(i):next 50 print chr$(147);chr$(14);"Price Fraction":print 60 print "What is the value to calculate (between 0.0 and 1.0)";:input up 65 if up<0 or up>1.0 then goto 60 70 gosub 500 80 print:print "You entered";up;chr$(157);", the new value is";np 90 print:print "Again (Y/N)? "; 95 get k$:if k$<>"y" and k$<>"n" then 95 100 print k$ 110 if k$="y" then goto 50 115 end 500 for i=0 to 20 510 if up<th(i) then np=pr(i):return 520 next i 530 np=1:return </lang>
- Output:
Price Fraction What is the value to calculate (between 0.0 and 1.0)? 0.83344 You entered .83344, the new value is .9 Again (Y/N)? Y
Price Fraction What is the value to calculate (between 0.0 and 1.0)? 0.05889 You entered .05889, the new value is .1 Again (Y/N)? Y
Price Fraction What is the value to calculate (between 0.0 and 1.0)? 0.36 You entered .36, the new value is .54 Again (Y/N)? N ready.
BBC BASIC
<lang bbcbasic> PRINT FNpricefraction(0.5)
END
DEF FNpricefraction(p)
IF p < 0.06 THEN = 0.10
IF p < 0.11 THEN = 0.18
IF p < 0.16 THEN = 0.26
IF p < 0.21 THEN = 0.32
IF p < 0.26 THEN = 0.38
IF p < 0.31 THEN = 0.44
IF p < 0.36 THEN = 0.50
IF p < 0.41 THEN = 0.54
IF p < 0.46 THEN = 0.58
IF p < 0.51 THEN = 0.62
IF p < 0.56 THEN = 0.66
IF p < 0.61 THEN = 0.70
IF p < 0.66 THEN = 0.74
IF p < 0.71 THEN = 0.78
IF p < 0.76 THEN = 0.82
IF p < 0.81 THEN = 0.86
IF p < 0.86 THEN = 0.90
IF p < 0.91 THEN = 0.94
IF p < 0.96 THEN = 0.98
= 1.00</lang>
Bracmat
Bracmat has no native support for floating point variables nor for the fixed point values in the conversion table. Instead this solution just applies a string comparison. <lang bracmat>( ( convert
=
. ("0.06"."0.10")
("0.11"."0.18")
("0.16"."0.26")
("0.21"."0.32")
("0.26"."0.38")
("0.31"."0.44")
("0.36"."0.50")
("0.41"."0.54")
("0.46"."0.58")
("0.51"."0.62")
("0.56"."0.66")
("0.61"."0.70")
("0.66"."0.74")
("0.71"."0.78")
("0.76"."0.82")
("0.81"."0.86")
("0.86"."0.90")
("0.91"."0.94")
("0.96"."0.98")
("1.01"."1.00")
: ? (>!arg.?arg) ?
& !arg
| "invalid input"
)
& -1:?n & whl
' ( !n+1:?n:<103
& ( @(!n:? [<2)&str$("0.0" !n):?a
| @(!n:? [<3)&str$("0." !n):?a
| @(!n:?ones [-3 ?decimals)
& str$(!ones "." !decimals):?a
)
& out$(!a "-->" convert$!a)
)
)</lang>
- 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
C
<lang 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; }</lang>
C#
<lang csharp>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;
}
}
}</lang>
C++
<lang cpp>#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 ;
} </lang>
- 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
Clipper
<lang dbase>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</lang>
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:
<lang Clipper>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</lang>
- 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
Clojure
<lang clojure>(def values [10 18 26 32 38 44 50 54 58 62 66 70 74 78 82 86 90 94 98 100])
(defn price [v]
(format "%.2f" (double (/ (values (int (/ (- (* v 100) 1) 5))) 100))))</lang>
- Output:
user=> (price 0.50) "0.62" user=> (let [k (map #(double (/ % 100)) (range 101))] (sort (zipmap k (map #(price %) k)))) ([0.0 "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"] [0.1 "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"] [0.2 "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"] [0.3 "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"] [0.4 "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"] [0.5 "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"] [0.6 "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"] [0.7 "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"] [0.8 "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"] [0.9 "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"] [1.0 "1.00"])
Common Lisp
<lang lisp>(defun scale (value)
(cond ((minusp value) (error "invalid value: ~A" value))
((< value 0.06) 0.10)
((< value 0.11) 0.18)
((< value 0.16) 0.26)
((< value 0.21) 0.32)
((< value 0.26) 0.38)
((< value 0.31) 0.44)
((< value 0.36) 0.50)
((< value 0.41) 0.54)
((< value 0.46) 0.58)
((< value 0.51) 0.62)
((< value 0.56) 0.66)
((< value 0.61) 0.70)
((< value 0.66) 0.74)
((< value 0.71) 0.78)
((< value 0.76) 0.82)
((< value 0.81) 0.86)
((< value 0.86) 0.90)
((< value 0.91) 0.94)
((< value 0.96) 0.98)
((< value 1.01) 1.00)
(t (error "invalid value: ~A" value))))</lang>
D
<lang 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;
}</lang>
- Output:
0.82 0.9 0.9 0.5
Eiffel
<lang Eiffel> class APPLICATION
create make
feature
make --Tests the price_adjusted feature. local i: REAL do create price_fraction.initialize from i := 5 until i = 100 loop io.put_string ("Given: ") io.put_real (i / 100) io.put_string ("%TAdjusted:") io.put_real (price_fraction.adjusted_price (i / 100)) io.new_line i := i + 5 end end
price_fraction: PRICE_FRACTION
end </lang> <lang Eiffel> class PRICE_FRACTION
create initialize
feature
initialize -- Initializes limit and price to the given values. do limit := <<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 := <<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>> end
adjusted_price (n: REAL): REAL -- Adjusted price according to the given price values. local i: INTEGER found: BOOLEAN do from i := 1 until i > limit.count or found loop if n <= limit [i] then Result := (price [i]) found := True end i := i + 1 end end
feature {NONE}
limit: ARRAY [REAL]
price: ARRAY [REAL]
end </lang>
- Output:
Given: 0.05 Adjusted:0.1 Given: 0.1 Adjusted:0.18 Given: 0.15 Adjusted:0.26 Given: 0.2 Adjusted:0.32 Given: 0.25 Adjusted:0.38 Given: 0.3 Adjusted:0.44 Given: 0.35 Adjusted:0.5 Given: 0.4 Adjusted:0.54 Given: 0.45 Adjusted:0.58 Given: 0.5 Adjusted:0.62 Given: 0.55 Adjusted:0.66 Given: 0.6 Adjusted:0.7 Given: 0.65 Adjusted:0.74 Given: 0.7 Adjusted:0.78 Given: 0.75 Adjusted:0.81 Given: 0.8 Adjusted:0.86 Given: 0.85 Adjusted:0.9 Given: 0.9 Adjusted:0.94 Given: 0.95 Adjusted:0.98
Elixir
<lang elixir>defmodule Price do
@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} ]
def fraction(value) when value in 0..1 do
{_, standard_value} = Enum.find(@table, fn {upper_limit, _} -> value < upper_limit end)
standard_value
end
end
val = for i <- 0..100, do: i/100 Enum.each(val, fn x ->
:io.format "~5.2f ->~5.2f~n", [x, Price.fraction(x)]
end)</lang>
- 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 ... 0.95 -> 0.98 0.96 -> 1.00 0.97 -> 1.00 0.98 -> 1.00 0.99 -> 1.00 1.00 -> 1.00
Erlang
<lang 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.</lang>
Euphoria
<lang 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</lang>
F#
Inspired by Python's bisect solution. Using decimal (System.Decimal) to avoid number representation problems with floats. <lang fsharp>let cin = [ 0.06m .. 0.05m ..1.01m ] let cout = [0.1m; 0.18m] @ [0.26m .. 0.06m .. 0.44m] @ [0.50m .. 0.04m .. 0.98m] @ [1.m]
let priceadjuster p =
let rec bisect lo hi =
if lo < hi then
let mid = (lo+hi)/2.
let left = p < cin.[int mid]
bisect (if left then lo else mid+1.) (if left then mid else hi)
else lo
if p < 0.m || 1.m < p then p else cout.[int (bisect 0. (float cin.Length))]
[ 0.m .. 0.01m .. 1.m ] |> Seq.ofList |> Seq.iter (fun p -> printfn "%.2f -> %.2f" p (priceadjuster p))</lang>
- Output:
The same as shown by Ada as of 2013-11-03T17:42Z (apart from whitespace formatting)
Factor
<lang factor>CONSTANT: dispensary-data { { 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 ) dispensary-data [ first over >= ] find 2nip second ;
{ 0 0.5 0.65 0.66 1 } [ price-fraction ] map</lang>
- Output:
{ 0.1 0.62 0.74 0.74 1.0 }
Fantom
<lang 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)}")
}
}
} </lang>
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.
<lang forth>: 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@ ;</lang>
Fortran
<lang 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</lang>
- Output:
<lang>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</lang>
FreeBASIC
<lang freebasic>' FB 1.050.0 Win64
Function rescale(price As Double) As Double
If price < 0.00 OrElse price > 1.00 Then Return price Select Case price Case Is < 0.06 : Return 0.10 Case Is < 0.11 : Return 0.18 Case Is < 0.16 : Return 0.26 Case Is < 0.21 : Return 0.32 Case Is < 0.26 : Return 0.38 Case Is < 0.31 : Return 0.44 Case Is < 0.36 : Return 0.50 Case Is < 0.41 : Return 0.54 Case Is < 0.46 : Return 0.58 Case Is < 0.51 : Return 0.62 Case Is < 0.56 : Return 0.66 Case Is < 0.61 : Return 0.70 Case Is < 0.66 : Return 0.74 Case Is < 0.71 : Return 0.78 Case Is < 0.76 : Return 0.82 Case Is < 0.81 : Return 0.86 Case Is < 0.86 : Return 0.90 Case Is < 0.91 : Return 0.94 Case Is < 0.96 : Return 0.98 End Select Return 1.00
End Function
For i As Integer = 1 To 100
Dim d As Double = i/100.0 Print Using "#.##"; d; Print " -> "; Print Using "#.##"; rescale(d); Print " "; If i Mod 5 = 0 Then Print
Next
Print Print "Press any key to quit" Sleep</lang>
- Output:
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
Gambas
Click this link to run this code <lang gambas>Public Sub Main() Dim byValue As Byte[] = [10, 18, 26, 32, 38, 44, 50, 54, 58, 62, 66, 70, 74, 78, 82, 86, 90, 94, 98, 100] Dim byLimit As Byte[] = [6, 11, 16, 21, 26, 31, 36, 41, 46, 51, 56, 61, 66, 71, 76, 81, 86, 91, 96] Dim byCount, byCheck As Byte
For byCount = 0 To 100
For byCheck = 0 To byLimit.Max If byCount < byLimit[byCheck] Then Break Next Print Format(byCount / 100, "0.00") & " = " & Format(byValue[byCheck] / 100, "0.00") & gb.Tab; If byCount Mod 5 = 0 Then Print
Next
End </lang> 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
Go
<lang go>package main
import "fmt"
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
}
func main() {
tests := []float64{0.3793, 0.4425, 0.0746, 0.6918, 0.2993,
0.5486, 0.7848, 0.9383, 0.2292, 0.9760}
for _, v := range tests {
fmt.Printf("%0.4f -> %0.2f\n", v, pf(v))
}
}</lang>
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 0.9760 -> 1.00
Groovy
<lang 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)}"
}</lang>
- 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
Haskell
<lang haskell>price_fraction n
| 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</lang>
Alternative
:
<lang haskell>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</lang>
HicEst
<lang 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</lang>
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
Icon and Unicon
<lang Icon> 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 </lang>
- 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
Inform 7
Inform doesn't have native floating-point support; this version uses fixed point numbers with two decimal places.
<lang inform7>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.</lang>
J
Solution: <lang j>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. -</lang>
Example: <lang j> 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</lang>
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.
Java
<lang 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)); } } }</lang>
- Output:
0.149969 -> 0.26 0.310605 -> 0.50 0.616683 -> 0.74 0.194047 -> 0.32 0.724852 -> 0.82
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.
<lang javascript>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];
}</lang>
jq
The solution given here is based on the JavaScript solution. <lang jq>def getScaleFactor:
["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"] as $values | $values[ (. * 100 - 1) / 5 | floor ] ;</lang>
The full coverage test as given in the Ada example: <lang jq>def test:
(range(0;10) | "0.0\(.) -> \( 0.01 * . | getScaleFactor)"), (range(10;100) | "0.\(.) -> \( 0.01 * . | getScaleFactor)");
test</lang> Run the test, showing the first few lines of output:
$ jq -n -r -f Price_fraction.jq 0.00 -> 1.00 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 ...
Julia
This solution is somewhat straightforward but does highlight a couple of Julia features. The interval cut-offs and values are exactly represented by rational numbers. The interval to which an input value belongs is identified by applying the findfirst (true value) function to an element-wise comparison (.<) of this value to the cut-off array.
<lang Julia>
const PFCUT = [6:5:101]//100
const PFVAL = [10:8:26, 32:6:50, 54:4:98, 100]//100
function pricefraction{T<:FloatingPoint}(a::T)
zero(T) <= a || error("a = ", a, ", but it must be >= 0.")
a <= one(T) || error("a = ", a, ", but it must be <= 1.")
convert(T, PFVAL[findfirst(a .< PFCUT)])
end
test = [0.:0.05:1., 0.51, 0.56, 0.61, rand(), rand(), rand(), rand()]
println("Testing the price fraction function") for t in test
println(@sprintf " %.4f -> %.4f" t pricefraction(t))
end </lang>
- Output:
Testing the price fraction function
0.0000 -> 0.1000
0.0500 -> 0.1000
0.1000 -> 0.1800
0.1500 -> 0.2600
0.2000 -> 0.3200
0.2500 -> 0.3800
0.3000 -> 0.4400
0.3500 -> 0.5000
0.4000 -> 0.5400
0.4500 -> 0.5800
0.5000 -> 0.6200
0.5500 -> 0.6600
0.6000 -> 0.7000
0.6500 -> 0.7400
0.7000 -> 0.7800
0.7500 -> 0.8200
0.8000 -> 0.8600
0.8500 -> 0.9000
0.9000 -> 0.9400
0.9500 -> 0.9800
1.0000 -> 1.0000
0.5100 -> 0.6600
0.5600 -> 0.7000
0.6100 -> 0.7400
0.5603 -> 0.7000
0.9812 -> 1.0000
0.5127 -> 0.6600
0.4821 -> 0.6200
K
Translation of the J solution:
<lang K> 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]}' </lang>
- Output:
pf 0.6094701 0.5003597 0.8512954 0.08951883 0.6868076 0.7 0.62 0.9 0.18 0.78
Kotlin
<lang scala>// version 1.0.6
fun rescale(price: Double): Double =
when {
price < 0.06 -> 0.10
price < 0.11 -> 0.18
price < 0.16 -> 0.26
price < 0.21 -> 0.32
price < 0.26 -> 0.38
price < 0.31 -> 0.44
price < 0.36 -> 0.50
price < 0.41 -> 0.54
price < 0.46 -> 0.58
price < 0.51 -> 0.62
price < 0.56 -> 0.66
price < 0.61 -> 0.70
price < 0.66 -> 0.74
price < 0.71 -> 0.78
price < 0.76 -> 0.82
price < 0.81 -> 0.86
price < 0.86 -> 0.90
price < 0.91 -> 0.94
price < 0.96 -> 0.98
else -> 1.00
}
fun main(args: Array<String>) {
var d: Double
for (i in 1..100) {
d = i / 100.0
print(String.format("%4.2f -> %4.2f ", d, rescale(d)))
if (i % 5 == 0) println()
}
}</lang>
- Output:
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
langur
Langur uses decimal floating point.
<lang langur># using an implied parameter .f ... val .pricefrac = f given .f {
case >= 0.00, < 0.06: 0.10 case >= 0.06, < 0.11: 0.18 case >= 0.11, < 0.16: 0.26 case >= 0.16, < 0.21: 0.32 case >= 0.21, < 0.26: 0.38 case >= 0.26, < 0.31: 0.44 case >= 0.31, < 0.36: 0.50 case >= 0.36, < 0.41: 0.54 case >= 0.41, < 0.46: 0.58 case >= 0.46, < 0.51: 0.62 case >= 0.51, < 0.56: 0.66 case >= 0.56, < 0.61: 0.70 case >= 0.61, < 0.66: 0.74 case >= 0.66, < 0.71: 0.78 case >= 0.71, < 0.76: 0.82 case >= 0.76, < 0.81: 0.86 case >= 0.81, < 0.86: 0.90 case >= 0.86, < 0.91: 0.94 case >= 0.91, < 0.96: 0.98 case >= 0.96, <= 1.00: 1.00 default: throw "bad data"
# The default operator between test cases is "and". # That is, writing "case" without a logical operator is the same as writing "case and". # To make a given case act as a switch case does in other languages, use "case or".
}
writeln .pricefrac(0.17) writeln .pricefrac(0.71)</lang>
- Output:
0.32 0.82
Liberty BASIC
<lang lb> 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
</lang>
Lua
<lang lua>scaleTable = {
{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 rescale (price)
if price < 0 or price > 1 then return "Out of range!" end
for k, v in pairs(scaleTable) do
if price < v[1] then return v[2] end
end
end
math.randomseed(os.time()) for i = 1, 5 do
rnd = math.random()
print("Random value:", rnd)
print("Adjusted price:", rescale(rnd))
print()
end</lang>
- Output:
Random value: 0.61946413522022 Adjusted price: 0.74 Random value: 0.81141947958698 Adjusted price: 0.9 Random value: 0.55691473099814 Adjusted price: 0.66 Random value: 0.19704311677601 Adjusted price: 0.32 Random value: 0.36528313938816 Adjusted price: 0.54
Maple
<lang maple>priceFraction := proc(price) local values, standard, newPrice, i; values := [0, 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]; standard := [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 to numelems(standard) do if price >= values[i] and price < values[i+1] then newPrice := standard[i]; end if; end do; printf("%f --> %.2f\n", price, newPrice); end proc:
randomize(): for i to 5 do priceFraction (rand(0.0..1.0)()); end do;</lang>
- Output:
0.524386 --> 0.66 0.887957 --> 0.94 0.670196 --> 0.78 0.875601 --> 0.94 0.540447 --> 0.66
Mathematica
<lang 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]</lang>
MATLAB / Octave
<lang Matlab> 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)); </lang>
Mercury
<lang 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)].</lang>
A build system might turn the text of the table into the definition of a hundred-element array of adjustments. In that case,
<lang Mercury>adjust(Cents) = array.lookup(price_table, Cents).</lang>
MUMPS
<lang MUMPS>PRICFRAC(X)
;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</lang>
- Output:
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
NetRexx
<lang NetRexx>/* NetRexx */ options replace format comments java crossref symbols nobinary
runSample(arg) return
-- ----------------------------------------------------------------------------- method runSample(arg) public static
parse arg in_val . if in_val \= then test_vals = [in_val] else test_vals = getTestData()
say 'Input Adjustment' loop tv = 0 to test_vals.length - 1 in_val = test_vals[tv] adjust = priceFraction(in_val) say in_val.format(null, 2).right(5) adjust.format(null, 2).right(10) end tv
return
-- ----------------------------------------------------------------------------- method priceFraction(in_val) public static
out_val = -1
limit_table = getLimitTable()
limit_table_K = limit_table.length
loop p1 = 0 to limit_table_K - 1
pair = limit_table[p1]
hi_limit = pair[0]
adjustmt = pair[1]
if in_val < hi_limit then do
out_val = adjustmt
leave p1
end
end p1
if out_val = -1 then signal IllegalArgumentException('Input' in_val 'is outside of acceptable range.')
return out_val
-- ----------------------------------------------------------------------------- method getLimitTable() public static returns Rexx[,]
limit_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] - ] return limit_table
-- ----------------------------------------------------------------------------- method getTestData() private static returns Rexx[]
test_vals = Rexx[5] rng = Random(1024) loop tv = 0 to test_vals.length - 1 test_vals[tv] = rng.nextFloat() end tv return test_vals
</lang>
- Output:
Input Adjustment 0.64 0.74 0.32 0.50 0.85 0.90 0.93 0.98 0.62 0.74
Nim
<lang nim>import strutils, math
const
pricemap: array[0 .. 19, int] = [10,18,26,32,38,44,50,54,58,62,66,70,74,78,82,86,90,94,98,100]
- outputs an int (=>float*100)
proc floatToPrice100(f: float): int =
# indx: 0.1-0.05->0, 0.06-0.10->1, 0.11-0.15->2, .....
var valu: int = toInt(f*100)
if valu == 0:
result = 10
else:
dec(valu)
# inc indx every 5 of valu, so value of 1..100 translates to indx of 0..19
var indx: int = 2*int(valu/10)+int((valu%%10)/5)
result = pricemap[indx]
- str representation of an int (that is a representation of a float price)
proc price100ToStr(p: int): string =
if p < 10:
result = "0.0" & $p
if p < 100:
result = "0." & $p
else:
result = "1.00"
randomize() var i: int = 0
for x in 0 .. 10:
i = random(101)
echo("Price for ", i.price100ToStr(), ", is: ", float(i/100).floatToPrice100().price100ToStr())</lang>
- Output:
A random output something like:
Price for 0.73, is: 0.82 Price for 0.29, is: 0.44 Price for 0.25, is: 0.38 Price for 0.52, is: 0.66 Price for 0.66, is: 0.78 Price for 0.23, is: 0.38 Price for 0.62, is: 0.74 Price for 0.26, is: 0.44 Price for 0.70, is: 0.78 Price for 0.69, is: 0.78 Price for 0.39, is: 0.54
Objeck
<lang objeck>class PriceFraction {
function : Main(args : String[]) ~ Nil {
for(i := 0; i < 5; i++;) {
f := Float->Random();
r := SpecialRound(f);
"{$f} -> {$r}"->PrintLine();
};
}
function : SpecialRound(inValue : Float) ~ Float {
if (inValue > 1) {
return 1;
};
splitters := [
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 ];
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 ];
for(x := 0; x < splitters->Size() - 1; x+=1;) {
if (inValue >= splitters[x] & inValue < splitters[x + 1]) {
return replacements[x];
};
};
return inValue; }
}</lang>
- Output:
0.317901 -> 0.5 0.691109 -> 0.78 0.790891 -> 0.86 0.269922 -> 0.44 0.690891 -> 0.78
OCaml
<lang 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;
]</lang>
<lang ocaml>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;
- </lang>
Oforth
<lang oforth>[.06, .11, .16, .21, .26, .31, .36, .41, .46, .51, .56, .61, .66, .71, .76, .81, .86, .91, .96, 1.01] const: IN [.10, .18, .26, .32, .38, .44, .50, .54, .58, .62, .66, .70, .74, .78, .82, .86, .90, .94, .98, 1.00] const: OUT
- priceFraction(f)
| i |
IN size loop: i [ f IN at(i) < ifTrue: [ OUT at(i) return ] ] null ;</lang>
- Output:
>[0.7388727, 0.8593103, 0.826687, 0.3444635] map(#priceFraction) . [0.82, 0.9, 0.9, 0.5] ok
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.
<lang oz>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</lang>
PARI/GP
<lang parigp>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"
};</lang>
Pascal
<lang 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.</lang>
- 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
Perl
<lang 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);
} </lang>
Phix
<lang Phix>constant TBL=split(""" >= 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""",'\n')
sequence limits = {0},
prices = {-1}
atom lt,price for i=1 to length(TBL) do
Template:?,lt,price = scanf(TBL[i],">= %.2f < %.2f := %.2f") limits = append(limits,lt) prices = append(prices,price)
end for
function price_fix(atom p)
for i=1 to length(limits) do
if p<limits[i] then
return prices[i]
end if
end for
return -1
end function
for i=-1 to 101 do
printf(1, "%5.2f %5.2f\n", {i/100,price_fix(i/100)})
end for</lang>
Phixmonti
<lang Phixmonti>include ..\Utilitys.pmt
( ( 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 ) )
def price_fix
var p
len for
get
3 get swap 1 get swap 2 get nip
p swap < swap p swap >=
and if
exitfor
else
drop
endif
endfor
enddef
( 0.00 1.01 0.01 ) for
dup print 9 tochar print price_fix print nl
endfor </lang>
PicoLisp
<lang 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)) )</lang>
- Output:
0.54 0.58 0.18 0.78 0.44 0.66 0.86 0.98 0.38
PL/I
version 1
<lang PL/I>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;</lang>
version 2
<lang PL/I>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;</lang>
PowerShell
<lang PowerShell> function Convert-PriceFraction {
[CmdletBinding()]
[OutputType([double])]
Param
(
[Parameter(Mandatory=$true,
ValueFromPipeline=$true,
ValueFromPipelineByPropertyName=$true,
Position=0)]
[ValidateScript({$_ -ge 0.0 -and $_ -le 1.0})]
[double]
$InputObject
)
Process
{
foreach ($fraction in $InputObject)
{
switch ($fraction)
{
{$_ -lt 0.06} {0.10; break}
{$_ -lt 0.11} {0.18; break}
{$_ -lt 0.16} {0.26; break}
{$_ -lt 0.21} {0.32; break}
{$_ -lt 0.26} {0.38; break}
{$_ -lt 0.31} {0.44; break}
{$_ -lt 0.36} {0.50; break}
{$_ -lt 0.41} {0.54; break}
{$_ -lt 0.46} {0.58; break}
{$_ -lt 0.51} {0.62; break}
{$_ -lt 0.56} {0.66; break}
{$_ -lt 0.61} {0.70; break}
{$_ -lt 0.66} {0.74; break}
{$_ -lt 0.71} {0.78; break}
{$_ -lt 0.76} {0.82; break}
{$_ -lt 0.81} {0.86; break}
{$_ -lt 0.86} {0.90; break}
{$_ -lt 0.91} {0.94; break}
{$_ -lt 0.96} {0.98; break}
Default {1.00}
}
}
}
} </lang> <lang PowerShell> .7388727, .8593103, .826687, .3444635, .0491907 | Convert-PriceFraction | ForEach-Object {"{0:C}" -f $_} </lang>
- Output:
$0.82 $0.90 $0.90 $0.50 $0.10
PureBasic
<lang PureBasic>Procedure.f PriceFraction(price.f)
;returns price unchanged if value is invalid
Protected fraction
Select price * 100
Case 0 To 5
fraction = 10
Case 06 To 10
fraction = 18
Case 11 To 15
fraction = 26
Case 16 To 20
fraction = 32
Case 21 To 25
fraction = 38
Case 26 To 30
fraction = 44
Case 31 To 35
fraction = 5
Case 36 To 40
fraction = 54
Case 41 To 45
fraction = 58
Case 46 To 50
fraction = 62
Case 51 To 55
fraction = 66
Case 56 To 60
fraction = 7
Case 61 To 65
fraction = 74
Case 66 To 70
fraction = 78
Case 71 To 75
fraction = 82
Case 76 To 80
fraction = 86
Case 81 To 85
fraction = 9
Case 86 To 90
fraction = 94
Case 91 To 95
fraction = 98
Case 96 To 100
fraction = 100
Default
ProcedureReturn price
EndSelect
ProcedureReturn fraction / 100
EndProcedure
If OpenConsole()
Define x.f, i For i = 1 To 10 x = Random(10000)/10000 PrintN(StrF(x, 4) + " -> " + StrF(PriceFraction(x), 2)) Next Print(#CRLF$ + #CRLF$ + "Press ENTER to exit") Input() CloseConsole()
EndIf</lang>
- 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
Python
Using the bisect standard module to reduce the comparisons with members of the cin array.
<lang python>>>> 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) ]</lang>
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: <lang python>>>> 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) ]</lang> 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: - <lang python>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</lang>
R
<lang 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 </lang>
You can extract the contents of the table as follows:
<lang r> 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 </lang>
Racket
<lang 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)))) </lang>
Raku
(formerly Perl 6)
Simple solution, doing a linear search.
Note that in Raku we don't have to worry about floating-point misrepresentations of decimals, because decimal fractions are stored as rationals.
<lang perl6>sub price-fraction ($n where 0..1) {
when $n < 0.06 { 0.10 }
when $n < 0.11 { 0.18 }
when $n < 0.16 { 0.26 }
when $n < 0.21 { 0.32 }
when $n < 0.26 { 0.38 }
when $n < 0.31 { 0.44 }
when $n < 0.36 { 0.50 }
when $n < 0.41 { 0.54 }
when $n < 0.46 { 0.58 }
when $n < 0.51 { 0.62 }
when $n < 0.56 { 0.66 }
when $n < 0.61 { 0.70 }
when $n < 0.66 { 0.74 }
when $n < 0.71 { 0.78 }
when $n < 0.76 { 0.82 }
when $n < 0.81 { 0.86 }
when $n < 0.86 { 0.90 }
when $n < 0.91 { 0.94 }
when $n < 0.96 { 0.98 }
default { 1.00 }
}
while prompt("value: ") -> $value {
say price-fraction(+$value);
}</lang>
If we expect to rescale many prices, a better approach would be to build a look-up array of 101 entries. Memory is cheap, and array indexing is blazing fast.
<lang perl6>my @price = map *.value, flat
( 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] // "Out of range";
}</lang>
We can also build this same look-up array by parsing the table as formatted in the task description:
<lang perl6>my $table = q:to/END/; >= 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
my @price;
for $table.lines {
/:s '>=' (\S+) '<' (\S+) ':=' (\S+)/; @price[$0*100 ..^ $1*100] »=» +$2;
}
while prompt("value: ") -> $value {
say @price[$value * 100] // "Out of range";
}</lang>
Raven
<lang 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</lang>
- 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
REXX
version 1
<lang rexx>/*REXX program re─scales a (decimal fraction) price (in the range of: 0¢ ──► $1). */ pad= ' ' /*for inserting spaces into a message. */
do j=0 to 1 by .01 /*process the prices from 0¢ to ≤ $1 */
if j==0 then j= 0.00 /*handle the special case of zero cents*/
say pad 'original price ──►' j pad adjPrice(j) " ◄── adjusted price"
end /*j*/
exit 0 /*stick a fork in it, we're all done. */ /*──────────────────────────────────────────────────────────────────────────────────────*/ adjPrice: procedure; parse arg ? /*a table is used to facilitate changes*/
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 ?</lang>
- 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
version 2
<lang rexx>/* REXX ***************************************************************
- Inspired by some other solutions tested with version 1 (above)
- 20.04.2013 Walter Pachl
- 03.11.2013 -"- move r. computation (once is enough)
- /
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
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 Expose r.
i=((100*arg(1)-1)%5+1) Return r.i</lang>
Ring
<lang ring> see pricefraction(0.5)
func pricefraction n
if n < 0.06 return 0.10 ok
if n < 0.11 return 0.18 ok
if n < 0.16 return 0.26 ok
if n < 0.21 return 0.32 ok
if n < 0.26 return 0.38 ok
if n < 0.31 return 0.44 ok
if n < 0.36 return 0.50 ok
if n < 0.41 return 0.54 ok
if n < 0.46 return 0.58 ok
if n < 0.51 return 0.62 ok
if n < 0.56 return 0.66 ok
if n < 0.61 return 0.70 ok
if n < 0.66 return 0.74 ok
if n < 0.71 return 0.78 ok
if n < 0.76 return 0.82 ok
if n < 0.81 return 0.86 ok
if n < 0.86 return 0.90 ok
if n < 0.91 return 0.94 ok
if n < 0.96 return 0.98 ok
return 1
</lang>
Ruby
A simple function with hardcoded values. <lang ruby>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</lang>
Or, where we can cut and paste the textual table in one place
for the String#lines method.
For Ruby 1.8.6, use String#each_line
<lang ruby>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</lang>
And a test suite <lang ruby>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</lang>
- Output:
Loaded suite price_fraction Started . Finished in 0.001000 seconds. 1 tests, 22 assertions, 0 failures, 0 errors, 0 skips
Run BASIC
<lang runbasic>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]</lang>
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
Rust
<lang rust>fn fix_price(num: f64) -> f64 {
match num {
0.96...1.00 => 1.00,
0.91...0.96 => 0.98,
0.86...0.91 => 0.94,
0.81...0.86 => 0.90,
0.76...0.81 => 0.86,
0.71...0.76 => 0.82,
0.66...0.71 => 0.78,
0.61...0.66 => 0.74,
0.56...0.61 => 0.70,
0.51...0.56 => 0.66,
0.46...0.51 => 0.62,
0.41...0.46 => 0.58,
0.36...0.41 => 0.54,
0.31...0.36 => 0.50,
0.26...0.31 => 0.44,
0.21...0.26 => 0.38,
0.16...0.21 => 0.32,
0.11...0.16 => 0.26,
0.06...0.11 => 0.18,
0.00...0.06 => 0.10,
// panics on invalid value
_ => unreachable!(),
}
}
fn main() {
let mut n: f64 = 0.04;
while n <= 1.00 {
println!("{:.2} => {}", n, fix_price(n));
n += 0.04;
}
}
// and a unit test to check that we haven't forgotten a branch, use 'cargo test' to execute test. // // typically this could be included in the match as those check for exhaustiveness already // by explicitly listing all remaining ranges / values instead of a catch-all underscore (_) // but f64::NaN, f64::INFINITY and f64::NEG_INFINITY can't be matched like this
- [test]
fn exhaustiveness_check() {
let mut input_price = 0.;
while input_price <= 1. {
fix_price(input_price);
input_price += 0.01;
}
}</lang>
- Output:
0.04 => 0.1 0.09 => 0.18 0.14 => 0.26 0.19 => 0.32 0.24 => 0.38 0.29 => 0.44 0.34 => 0.5 0.39 => 0.54 0.44 => 0.58 0.49 => 0.62 0.54 => 0.66 0.59 => 0.7 0.64 => 0.74 0.69 => 0.78 0.74 => 0.82 0.79 => 0.86 0.84 => 0.9 0.89 => 0.94 0.94 => 0.98 0.99 => 1
Output of unit test:
running 1 test test exhaustiveness_check ... ok test result: ok. 1 passed; 0 failed; 0 ignored; 0 measured
Scala
<lang 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)))</lang>
- 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
Seed7
<lang 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;</lang>
The following variant of computePrice works with a table and raises RANGE_ERROR when x < 0.0 or x >= 1.01 holds: <lang seed7>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;</lang>
Sidef
<lang ruby>var table = <<'EOT'.lines.map { .words.grep{.is_numeric}.map{.to_n} } >= 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 EOT
func price(money) {
table.each { |row|
(row[0] <= money) ->
&& (row[1] > money) ->
&& return row[2];
}
die "Out of range";
}
for n in %n(0.3793 0.4425 0.0746 0.6918 0.2993 0.5486 0.7848 0.9383 0.2292) {
say price(n);
}</lang>
- Output:
0.54 0.58 0.18 0.78 0.44 0.66 0.86 0.98 0.38
Smalltalk
<lang 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.</lang>
Swift
<lang swift>let ranges = [
(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)
]
func adjustDouble(_ val: Double, accordingTo ranges: [(Range<Double>, Double)]) -> Double? {
return ranges.first(where: { $0.0.contains(val) })?.1
}
for val in stride(from: 0.0, through: 1, by: 0.01) {
let strFmt = { String(format: "%.2f", $0) }
print("\(strFmt(val)) -> \(strFmt(adjustDouble(val, accordingTo: ranges) ?? val))")
}</lang>
- 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
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. <lang tcl># 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
}</lang> How it is used: <lang tcl># 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]"
}</lang>
- Output:
.7388727 -> 0.82 .8593103 -> 0.90 .826687 -> 0.90 .3444635 -> 0.50 .0491907 -> 0.10
Ursala
<lang 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)</lang> 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: <lang Ursala>#cast %eL
test = price_fraction* <0.34,0.070145,0.06,0.05,0.50214,0.56,1.,0.99,0.> </lang>
- 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>
VBA
<lang vb> Option Explicit
Sub Main() Dim test, i As Long
test = Array(0.34, 0.070145, 0.06, 0.05, 0.50214, 0.56, 1#, 0.99, 0#, 0.7388727)
For i = 0 To UBound(test)
Debug.Print test(i) & " := " & Price_Fraction(CSng(test(i)))
Next i
End Sub
Private Function Price_Fraction(n As Single) As Single Dim Vin, Vout, i As Long
Vin = Array(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)
Vout = Array(0.1, 0.18, 0.26, 0.32, 0.38, 0.44, 0.5, 0.54, 0.58, 0.62, 0.66, 0.7, 0.74, 0.78, 0.82, 0.86, 0.9, 0.94, 0.98, 1#)
For i = 0 To UBound(Vin)
If n < Vin(i) Then Price_Fraction = Vout(i): Exit For
Next i
End Function</lang>
- Output:
0.34 := 0.5 0.070145 := 0.18 0.06 := 0.18 0.05 := 0.1 0.50214 := 0.62 0.56 := 0.7 1 := 1 0.99 := 1 0 := 0.1 0.7388727 := 0.82
VBScript
<lang vb> Function pf(p)
If p < 0.06 Then
pf = 0.10
ElseIf p < 0.11 Then
pf = 0.18
ElseIf p < 0.16 Then
pf = 0.26
ElseIf p < 0.21 Then
pf = 0.32
ElseIf p < 0.26 Then
pf = 0.38
ElseIf p < 0.31 Then
pf = 0.44
ElseIf p < 0.36 Then
pf = 0.50
ElseIf p < 0.41 Then
pf = 0.54
ElseIf p < 0.46 Then
pf = 0.58
ElseIf p < 0.51 Then
pf = 0.62
ElseIf p < 0.56 Then
pf = 0.66
ElseIf p < 0.61 Then
pf = 0.70
ElseIf p < 0.66 Then
pf = 0.74
ElseIf p < 0.71 Then
pf = 0.78
ElseIf p < 0.76 Then
pf = 0.82
ElseIf p < 0.81 Then
pf = 0.86
ElseIf p < 0.86 Then
pf = 0.90
ElseIf p < 0.91 Then
pf = 0.94
ElseIf p < 0.96 Then
pf = 0.98
Else
pf = 1.00
End If
End Function
WScript.Echo pf(0.7388727) WScript.Echo pf(0.8593103) WScript.Echo pf(0.826687) WScript.Echo pf(0.3444635) </lang>
- Output:
0.82 0.9 0.9 0.5
XPL0
<lang 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); ]</lang>
- Output:
0.18 0.18 1.00
zkl
<lang zkl>fcn convert(price){ // float --> float
// < -->, increments of 0.05 but tables are easier to update var vert=T( T(0.06, 0.10), T(0.11, 0.18), T(0.16, 0.26),
T(0.21, 0.32), T(0.26, 0.38), T(0.31, 0.44), T(0.36, 0.50), T(0.41, 0.54), T(0.46, 0.58), T(0.51, 0.62), T(0.56, 0.66), T(0.61, 0.70), T(0.66, 0.74), T(0.71, 0.78), T(0.76, 0.82), T(0.81, 0.86), T(0.86, 0.90), T(0.91, 0.94), T(0.96, 0.98), T(1.01, 1.00), );
vert.filter1('wrap([(a,_)]){ price<a })[1]
}</lang> <lang zkl>fcn convert2(price){ // shifting the fractional part to the integer portion
var vert=T(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);
vert[(price*100-1)/005];
}</lang> <lang zkl>T(0.7388727, 0.8593103, 0.826687, 0.3444635, 0.0491907).apply(convert) .println(); T(0.7388727, 0.8593103, 0.826687, 0.3444635, 0.0491907).apply(convert2).println();</lang>
- Output:
L(0.82,0.9,0.9,0.5,0.1) L(0.82,0.9,0.9,0.5,0.1)
- Programming Tasks
- Financial operations
- Ada
- ALGOL 68
- AutoHotkey
- AWK
- BASIC
- Commodore BASIC
- BBC BASIC
- Bracmat
- C
- C sharp
- C++
- Clipper
- Clojure
- Common Lisp
- D
- Eiffel
- Elixir
- Erlang
- Euphoria
- F Sharp
- Factor
- Fantom
- Forth
- Fortran
- FreeBASIC
- Gambas
- Go
- Groovy
- Haskell
- HicEst
- Icon
- Unicon
- Inform 7
- J
- Java
- JavaScript
- Jq
- Julia
- K
- Kotlin
- Langur
- Liberty BASIC
- Lua
- Maple
- Mathematica
- MATLAB
- Octave
- Mercury
- MUMPS
- NetRexx
- Nim
- Objeck
- OCaml
- Oforth
- Oz
- PARI/GP
- Pascal
- Perl
- Phix
- Phixmonti
- PicoLisp
- PL/I
- PowerShell
- PureBasic
- Python
- R
- Racket
- Raku
- Raven
- REXX
- Ring
- Ruby
- Run BASIC
- Rust
- Scala
- Seed7
- Sidef
- Smalltalk
- Swift
- Tcl
- Ursala
- VBA
- VBScript
- XPL0
- Zkl