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---
from: http://rosettacode.org/wiki/Functional_coverage_tree

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Functional coverage is a measure of how much a particular function of a system
has been verified as correct. It is used heavily in tracking the completeness
of the verification of complex System on Chip (SoC) integrated circuits, where
it can also be used to track how well the functional ''requirements'' of the
system have been verified.
This task uses a sub-set of the calculations sometimes used in tracking
functional coverage but uses a more familiar(?) scenario.
;Task Description:
The head of the clean-up crews for "The Men in a very dark shade of grey when
viewed at night" has been tasked with managing the cleansing of two properties
after an incident involving aliens.
She arranges the task hierarchically with a manager for the crews working on
each house who return with a breakdown of how they will report on progress in
each house.
The overall hierarchy of (sub)tasks is as follows,
<pre>cleaning
house1
bedrooms
bathrooms
bathroom1
bathroom2
outside lavatory
attic
kitchen
living rooms
lounge
dining room
conservatory
playroom
basement
garage
garden
house2
upstairs
bedrooms
suite 1
suite 2
bedroom 3
bedroom 4
bathroom
toilet
attics
groundfloor
kitchen
living rooms
lounge
dining room
conservatory
playroom
wet room & toilet
garage
garden
hot tub suite
basement
cellars
wine cellar
cinema</pre>
The head of cleanup knows that her managers will report fractional completion of leaf tasks (tasks with no child tasks of their own), and she knows that she will want to modify the weight of values of completion as she sees fit.
Some time into the cleaning, and some coverage reports have come in and she thinks see needs to weight the big house2 60-40 with respect to coverage from house1 She prefers a tabular view of her data where missing weights are assumed to be 1.0 and missing coverage 0.0.
<pre>NAME_HIERARCHY |WEIGHT |COVERAGE |
cleaning | | |
house1 |40 | |
bedrooms | |0.25 |
bathrooms | | |
bathroom1 | |0.5 |
bathroom2 | | |
outside_lavatory | |1 |
attic | |0.75 |
kitchen | |0.1 |
living_rooms | | |
lounge | | |
dining_room | | |
conservatory | | |
playroom | |1 |
basement | | |
garage | | |
garden | |0.8 |
house2 |60 | |
upstairs | | |
bedrooms | | |
suite_1 | | |
suite_2 | | |
bedroom_3 | | |
bedroom_4 | | |
bathroom | | |
toilet | | |
attics | |0.6 |
groundfloor | | |
kitchen | | |
living_rooms | | |
lounge | | |
dining_room | | |
conservatory | | |
playroom | | |
wet_room_&_toilet | | |
garage | | |
garden | |0.9 |
hot_tub_suite | |1 |
basement | | |
cellars | |1 |
wine_cellar | |1 |
cinema | |0.75 |</pre>
;Calculation:
The coverage of a node in the tree is calculated as the [[wp:Weighted arithmetic mean|weighted average]] of the coverage of its children evaluated bottom-upwards in the tree.
'''The task is to''' calculate the overall coverage of the cleaning task and display the coverage at all levels of the hierarchy on this page, in a manner that visually shows the hierarchy, weights and coverage of all nodes.
;Extra Credit:
After calculating the coverage for all nodes, one can also calculate the additional/delta top level coverage that would occur if any (sub)task were to be fully covered from its current fractional coverage. This is done by multiplying the extra coverage that could be gained <math>1-coverage</math> for any node, by the product of the `powers` of its parent nodes from the top down to the node.<br>
The power of a direct child of any parent is given by the power of the parent multiplied by the weight of the child divided by the sum of the weights of all the direct children.
The pseudo code would be:
method delta_calculation(this, power):
sum_of_weights = sum(node.weight for node in children)
this.delta = (1 - this.coverage) * power
for node in self.children:
node.delta_calculation(power * node.weight / sum_of_weights)
return this.delta
Followed by a call to:
top.delta_calculation(power=1)
<br>
'''Note:''' to aid in getting the data into your program you might want to use an alternative, more functional description of the starting data given on the discussion page.

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package main
import "fmt"
type FCNode struct {
name string
weight int
coverage float64
children []*FCNode
parent *FCNode
}
func newFCN(name string, weight int, coverage float64) *FCNode {
return &FCNode{name, weight, coverage, nil, nil}
}
func (n *FCNode) addChildren(nodes []*FCNode) {
for _, node := range nodes {
node.parent = n
n.children = append(n.children, node)
}
n.updateCoverage()
}
func (n *FCNode) setCoverage(value float64) {
if n.coverage != value {
n.coverage = value
// update any parent's coverage
if n.parent != nil {
n.parent.updateCoverage()
}
}
}
func (n *FCNode) updateCoverage() {
v1 := 0.0
v2 := 0
for _, node := range n.children {
v1 += float64(node.weight) * node.coverage
v2 += node.weight
}
n.setCoverage(v1 / float64(v2))
}
func (n *FCNode) show(level int) {
indent := level * 4
nl := len(n.name) + indent
fmt.Printf("%*s%*s %3d | %8.6f |\n", nl, n.name, 32-nl, "|", n.weight, n.coverage)
if len(n.children) == 0 {
return
}
for _, child := range n.children {
child.show(level + 1)
}
}
var houses = []*FCNode{
newFCN("house1", 40, 0),
newFCN("house2", 60, 0),
}
var house1 = []*FCNode{
newFCN("bedrooms", 1, 0.25),
newFCN("bathrooms", 1, 0),
newFCN("attic", 1, 0.75),
newFCN("kitchen", 1, 0.1),
newFCN("living_rooms", 1, 0),
newFCN("basement", 1, 0),
newFCN("garage", 1, 0),
newFCN("garden", 1, 0.8),
}
var house2 = []*FCNode{
newFCN("upstairs", 1, 0),
newFCN("groundfloor", 1, 0),
newFCN("basement", 1, 0),
}
var h1Bathrooms = []*FCNode{
newFCN("bathroom1", 1, 0.5),
newFCN("bathroom2", 1, 0),
newFCN("outside_lavatory", 1, 1),
}
var h1LivingRooms = []*FCNode{
newFCN("lounge", 1, 0),
newFCN("dining_room", 1, 0),
newFCN("conservatory", 1, 0),
newFCN("playroom", 1, 1),
}
var h2Upstairs = []*FCNode{
newFCN("bedrooms", 1, 0),
newFCN("bathroom", 1, 0),
newFCN("toilet", 1, 0),
newFCN("attics", 1, 0.6),
}
var h2Groundfloor = []*FCNode{
newFCN("kitchen", 1, 0),
newFCN("living_rooms", 1, 0),
newFCN("wet_room_&_toilet", 1, 0),
newFCN("garage", 1, 0),
newFCN("garden", 1, 0.9),
newFCN("hot_tub_suite", 1, 1),
}
var h2Basement = []*FCNode{
newFCN("cellars", 1, 1),
newFCN("wine_cellar", 1, 1),
newFCN("cinema", 1, 0.75),
}
var h2UpstairsBedrooms = []*FCNode{
newFCN("suite_1", 1, 0),
newFCN("suite_2", 1, 0),
newFCN("bedroom_3", 1, 0),
newFCN("bedroom_4", 1, 0),
}
var h2GroundfloorLivingRooms = []*FCNode{
newFCN("lounge", 1, 0),
newFCN("dining_room", 1, 0),
newFCN("conservatory", 1, 0),
newFCN("playroom", 1, 0),
}
func main() {
cleaning := newFCN("cleaning", 1, 0)
house1[1].addChildren(h1Bathrooms)
house1[4].addChildren(h1LivingRooms)
houses[0].addChildren(house1)
h2Upstairs[0].addChildren(h2UpstairsBedrooms)
house2[0].addChildren(h2Upstairs)
h2Groundfloor[1].addChildren(h2GroundfloorLivingRooms)
house2[1].addChildren(h2Groundfloor)
house2[2].addChildren(h2Basement)
houses[1].addChildren(house2)
cleaning.addChildren(houses)
topCoverage := cleaning.coverage
fmt.Printf("TOP COVERAGE = %8.6f\n\n", topCoverage)
fmt.Println("NAME HIERARCHY | WEIGHT | COVERAGE |")
cleaning.show(0)
h2Basement[2].setCoverage(1) // change Cinema node coverage to 1
diff := cleaning.coverage - topCoverage
fmt.Println("\nIf the coverage of the Cinema node were increased from 0.75 to 1")
fmt.Print("the top level coverage would increase by ")
fmt.Printf("%8.6f to %8.6f\n", diff, topCoverage+diff)
h2Basement[2].setCoverage(0.75) // restore to original value if required
}

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{-# LANGUAGE OverloadedStrings #-}
import Data.Bifunctor (first)
import Data.Bool (bool)
import Data.Char (isSpace)
import qualified Data.Text as T
import qualified Data.Text.IO as T
import qualified Data.Text.Read as T
import Data.Tree (Forest, Tree (..), foldTree)
import Numeric (showFFloat)
import System.Directory (doesFileExist)
----------------- FUNCTIONAL COVERAGE TREE ---------------
data Coverage = Coverage
{ name :: T.Text,
weight :: Float,
coverage :: Float,
share :: Float
}
deriving (Show)
--------------------------- TEST -------------------------
fp = "./coverageOutline.txt"
main :: IO ()
main =
doesFileExist fp
>>= bool
(print $ "File not found: " <> fp)
(T.readFile fp >>= T.putStrLn . updatedCoverageOutline)
----------------- UPDATED COVERAGE OUTLINE ---------------
updatedCoverageOutline :: T.Text -> T.Text
updatedCoverageOutline s =
let delimiter = "|"
indentedLines = T.lines s
columnNames =
init $
tokenizeWith
delimiter
( head indentedLines
)
in T.unlines
[ tabulation
delimiter
(columnNames <> ["SHARE OF RESIDUE"]),
indentedLinesFromTree
" "
(showCoverage delimiter)
$ withResidueShares 1.0 $
foldTree
weightedCoverage
(parseTreeFromOutline delimiter indentedLines)
]
------ WEIGHTED COVERAGE AND SHARES OF REMAINING WORK ----
weightedCoverage ::
Coverage ->
Forest Coverage ->
Tree Coverage
weightedCoverage x xs =
let cws = ((,) . coverage <*> weight) . rootLabel <$> xs
totalWeight = foldr ((+) . snd) 0 cws
in Node
( x
{ coverage =
foldr
(\(c, w) a -> (c * w) + a)
(coverage x)
cws
/ bool 1 totalWeight (0 < totalWeight)
}
)
xs
withResidueShares :: Float -> Tree Coverage -> Tree Coverage
withResidueShares shareOfTotal tree =
let go fraction node =
let forest = subForest node
weights = weight . rootLabel <$> forest
weightTotal = sum weights
nodeRoot = rootLabel node
in Node
( nodeRoot
{ share =
fraction
* (1 - coverage nodeRoot)
}
)
( zipWith
go
((fraction *) . (/ weightTotal) <$> weights)
forest
)
in go shareOfTotal tree
---------------------- OUTLINE PARSE ---------------------
parseTreeFromOutline :: T.Text -> [T.Text] -> Tree Coverage
parseTreeFromOutline delimiter indentedLines =
partialRecord . tokenizeWith delimiter
<$> head
( forestFromLineIndents $
indentLevelsFromLines $ tail indentedLines
)
forestFromLineIndents :: [(Int, T.Text)] -> [Tree T.Text]
forestFromLineIndents pairs =
let go [] = []
go ((n, s) : xs) =
let (firstTreeLines, rest) = span ((n <) . fst) xs
in Node s (go firstTreeLines) : go rest
in go pairs
indentLevelsFromLines :: [T.Text] -> [(Int, T.Text)]
indentLevelsFromLines xs =
let pairs = T.span isSpace <$> xs
indentUnit =
foldr
( \x a ->
let w = (T.length . fst) x
in bool a w (w < a && 0 < w)
)
(maxBound :: Int)
pairs
in first (flip div indentUnit . T.length) <$> pairs
partialRecord :: [T.Text] -> Coverage
partialRecord xs =
let [name, weightText, coverageText] =
take
3
(xs <> repeat "")
in Coverage
{ name = name,
weight = defaultOrRead 1.0 weightText,
coverage = defaultOrRead 0.0 coverageText,
share = 0.0
}
defaultOrRead :: Float -> T.Text -> Float
defaultOrRead n txt = either (const n) fst $ T.rational txt
tokenizeWith :: T.Text -> T.Text -> [T.Text]
tokenizeWith delimiter = fmap T.strip . T.splitOn delimiter
-------- SERIALISATION OF TREE TO TABULATED OUTLINE ------
indentedLinesFromTree ::
T.Text ->
(T.Text -> a -> T.Text) ->
Tree a ->
T.Text
indentedLinesFromTree tab showRoot tree =
let go indent node =
showRoot indent (rootLabel node) :
(subForest node >>= go (T.append tab indent))
in T.unlines $ go "" tree
showCoverage :: T.Text -> T.Text -> Coverage -> T.Text
showCoverage delimiter indent x =
tabulation
delimiter
( [T.append indent (name x), T.pack (showN 0 (weight x))]
<> (T.pack . showN 4 <$> ([coverage, share] <*> [x]))
)
tabulation :: T.Text -> [T.Text] -> T.Text
tabulation delimiter =
T.intercalate (T.append delimiter " ")
. zipWith (`T.justifyLeft` ' ') [31, 9, 9, 9]
justifyRight :: Int -> a -> [a] -> [a]
justifyRight n c = (drop . length) <*> (replicate n c <>)
showN :: Int -> Float -> String
showN p n = justifyRight 7 ' ' (showFFloat (Just p) n "")

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raw=: 0 :0
NAME_HIERARCHY |WEIGHT |COVERAGE |
cleaning | | |
house1 |40 | |
bedrooms | |0.25 |
bathrooms | | |
bathroom1 | |0.5 |
bathroom2 | | |
outside_lavatory | |1 |
attic | |0.75 |
kitchen | |0.1 |
living_rooms | | |
lounge | | |
dining_room | | |
conservatory | | |
playroom | |1 |
basement | | |
garage | | |
garden | |0.8 |
house2 |60 | |
upstairs | | |
bedrooms | | |
suite_1 | | |
suite_2 | | |
bedroom_3 | | |
bedroom_4 | | |
bathroom | | |
toilet | | |
attics | |0.6 |
groundfloor | | |
kitchen | | |
living_rooms | | |
lounge | | |
dining_room | | |
conservatory | | |
playroom | | |
wet_room_&_toilet | | |
garage | | |
garden | |0.9 |
hot_tub_suite | |1 |
basement | | |
cellars | |1 |
wine_cellar | |1 |
cinema | |0.75 |
)

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labels=: {.<;._2;._2 raw
'hier wspec cspec'=:|:}.<;._2;._2 raw
level=: (%+./) (0 i.~' '&=)"1 hier
weight=: (+ 0=]) ,".wspec
coverage=: ,".cspec

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merge=: ;@(({.@[,(+}.)~)&.> [: +/\1,_1}.#@>)
unrooted=: ([: merge <@(_1,$:@}.);.1)^:(0<#)
parent=: unrooted level
parent_cover=: (] (1}.~.parent)}~ 1}. * %&(parent +//. ]) [)^:_

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1 1 }._1 }.":labels,each ":each hier;(,.weight);,.weight parent_cover coverage
NAME_HIERARCHY │WEIGHT │COVERAGE │
cleaning │ 1 │0.409167 │
house1 │40 │ 0.33125 │
bedrooms │ 1 │ 0.25 │
bathrooms │ 1 │ 0.5 │
bathroom1 │ 1 │ 0.5 │
bathroom2 │ 1 │ 0 │
outside_lavatory │ 1 │ 1 │
attic │ 1 │ 0.75 │
kitchen │ 1 │ 0.1 │
living_rooms │ 1 │ 0.25 │
lounge │ 1 │ 0 │
dining_room │ 1 │ 0 │
conservatory │ 1 │ 0 │
playroom │ 1 │ 1 │
basement │ 1 │ 0 │
garage │ 1 │ 0 │
garden │ 1 │ 0.8 │
house2 │60 │0.461111 │
upstairs │ 1 │ 0.15 │
bedrooms │ 1 │ 0 │
suite_1 │ 1 │ 0 │
suite_2 │ 1 │ 0 │
bedroom_3 │ 1 │ 0 │
bedroom_4 │ 1 │ 0 │
bathroom │ 1 │ 0 │
toilet │ 1 │ 0 │
attics │ 1 │ 0.6 │
groundfloor │ 1 │0.316667 │
kitchen │ 1 │ 0 │
living_rooms │ 1 │ 0 │
lounge │ 1 │ 0 │
dining_room │ 1 │ 0 │
conservatory │ 1 │ 0 │
playroom │ 1 │ 0 │
wet_room_&_toilet │ 1 │ 0 │
garage │ 1 │ 0 │
garden │ 1 │ 0.9 │
hot_tub_suite │ 1 │ 1 │
basement │ 1 │0.916667 │
cellars │ 1 │ 1 │
wine_cellar │ 1 │ 1 │
cinema │ 1 │ 0.75 │

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trace=: (~.@,each (0 >. parent)&{)^:_ i.#parent
power=: */@:{&(parent (] % (i.~ ~.)@[ { +//.) weight)@> trace
power*1-weight parent_cover coverage
0.590833 0.2675 0.0375 0.025 0.00833333 0.0166667 0 0.0125 0.045 0.0375 0.0125 0.0125 0.0125 0 0.05 0.05 0.01 0.323333 0.17 0.05 0.0125 0.0125 0.0125 0.0125 0.05 0.05 0.02 0.136667 0.0333333 0.0333333 0.00833333 0.00833333 0.00833333 0.00833333 0.0333333 0.0333333 0.00333333 0 0.0166667 0 0 0.0166667

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import java.util.ArrayList;
import java.util.Arrays;
import java.util.List;
public final class FunctionalCoverageTree {
public static void main(String[] aArgs) {
FCNode cleaning = new FCNode("Cleaning", 1, 0.0);
List<FCNode> houses = Arrays.asList(
new FCNode("House_1", 40, 0.0),
new FCNode("House_2", 60, 0.0) );
cleaning.addChildren(houses);
List<FCNode> house_1 = Arrays.asList(
new FCNode("Bedrooms", 1, 0.25),
new FCNode("Bathrooms", 1, 0.0),
new FCNode("Attic", 1, 0.75),
new FCNode("Kitchen", 1, 0.1),
new FCNode("Living_rooms", 1, 0.0),
new FCNode("Basement", 1, 0.0),
new FCNode("Garage", 1, 0.0),
new FCNode("Garden",1, 0.8) );
houses.get(0).addChildren(house_1);
List<FCNode> bathrooms_house_1 = Arrays.asList(
new FCNode("Bathroom_1", 1, 0.5),
new FCNode("Bathroom_2", 1, 0.0),
new FCNode("Outside_lavatory", 1, 1.0) );
house_1.get(1).addChildren(bathrooms_house_1);
List<FCNode> living_rooms_house_1 = Arrays.asList(
new FCNode("lounge", 1, 0.0),
new FCNode("Dining_room", 1, 0.0),
new FCNode("Conservatory", 1, 0.0),
new FCNode("Playroom", 1, 1.0) );
house_1.get(4).addChildren(living_rooms_house_1);
List<FCNode> house_2 = Arrays.asList(
new FCNode("Upstairs", 1, 0.15),
new FCNode("Ground_floor", 1, 0.316667),
new FCNode("Basement", 1, 0.916667));
houses.get(1).addChildren(house_2);
List<FCNode> upstairs = Arrays.asList(
new FCNode("Bedrooms", 1, 0.0),
new FCNode("Bathroom", 1, 0.0),
new FCNode("Toilet", 1, 0.0),
new FCNode("Attics", 1, 0.6) );
house_2.get(0).addChildren(upstairs);
List<FCNode> ground_floor = Arrays.asList(
new FCNode("Kitchen", 1, 0.0),
new FCNode("Living_rooms", 1, 0.0),
new FCNode("Wet_room_&_toilet", 1, 0.0),
new FCNode("Garage", 1, 0.0),
new FCNode("Garden", 1, 0.9),
new FCNode("Hot_tub_suite", 1, 1.0) );
house_2.get(1).addChildren(ground_floor);
List<FCNode> basement = Arrays.asList(
new FCNode("Cellars", 1, 1.0),
new FCNode("Wine_cellar", 1, 1.0),
new FCNode("Cinema", 1, 0.75) );
house_2.get(2).addChildren(basement);
List<FCNode> bedrooms = Arrays.asList(
new FCNode("Suite_1", 1, 0.0),
new FCNode("Suite_2", 1, 0.0),
new FCNode("Bedroom_3",1, 0.0),
new FCNode("Bedroom_4",1, 0.0) );
upstairs.get(0).addChildren(bedrooms);
List<FCNode> living_rooms_house_2 = Arrays.asList(
new FCNode("lounge", 1, 0.0),
new FCNode("Dining_room", 1, 0.0),
new FCNode("Conservatory", 1, 0.0),
new FCNode("Playroom", 1, 0.0) );
ground_floor.get(1).addChildren(living_rooms_house_2);
final double overallCoverage = cleaning.getCoverage();
System.out.println("OVERALL COVERAGE = " + String.format("%.6f", overallCoverage) + System.lineSeparator());
System.out.println("NAME HIERARCHY | WEIGHT | COVERAGE |" );
System.out.println("--------------------------------|--------|----------|");
cleaning.display();
System.out.println();
basement.get(2).setCoverage(1.0); // Change House_2 Cinema node coverage to 1.0
final double updatedCoverage = cleaning.getCoverage();
final double difference = updatedCoverage - overallCoverage;
System.out.println("If the coverage of the House_2 Cinema node were increased from 0.75 to 1.0");
System.out.print("the overall coverage would increase by ");
System.out.println(String.format("%.6f%s%.6f", difference, " to ", updatedCoverage));;
basement.get(2).setCoverage(0.75); // Restore to House_2 Cinema node coverage to its original value
}
}
final class FCNode {
public FCNode(String aName, int aWeight, double aCoverage) {
name = aName;
weight = aWeight;
coverage = aCoverage;
}
public void addChildren(List<FCNode> aNodes) {
for ( FCNode node : aNodes ) {
node.parent = this;
children.add(node);
updateCoverage();
}
}
public double getCoverage() {
return coverage;
}
public void setCoverage(double aCoverage) {
if ( coverage != aCoverage ) {
coverage = aCoverage;
if ( parent != null ) {
parent.updateCoverage();
}
}
}
public void display() {
display(0);
}
private void updateCoverage() {
double value1 = 0.0;
int value2 = 0;
for ( FCNode node : children ) {
value1 += node.weight * node.coverage;
value2 += node.weight;
}
setCoverage(value1 / value2);
}
private void display(int aLevel) {
final String initial = " ".repeat(4 * aLevel) + name;
final String padding = " ".repeat(NAME_FIELD_WIDTH - initial.length());
System.out.print(initial + padding + "|");
System.out.print(" " + String.format("%3d", weight) + " |");
System.out.println(" " + String.format("%.6f", coverage) + " |");
for ( FCNode child : children ) {
child.display(aLevel + 1);
}
}
private String name;
private int weight;
private double coverage;
private FCNode parent;
private List<FCNode> children = new ArrayList<FCNode>();
private static final int NAME_FIELD_WIDTH = 32;
}

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(() => {
'use strict';
// updatedCoverageOutline :: String -> String
const updatedCoverageOutline = outlineText => {
const
delimiter = '|',
indentedLines = indentLevelsFromLines(lines(outlineText)),
columns = init(tokenizeWith(delimiter)(snd(indentedLines[0])));
// SERIALISATION OF UPDATED PARSE TREE (TO NEW OUTLINE TEXT)
return tabulation(delimiter)(
columns.concat('SHARE OF RESIDUE\n')
) + unlines(
indentedLinesFromTree(
showCoverage(delimiter))(' ')(
// TWO TRAVERSAL COMPUTATIONS
withResidueShares(1.0)(
foldTree(weightedCoverage)(
// PARSE TREE (FROM OUTLINE TEXT)
fmapTree(compose(
partialRecord, tokenizeWith(delimiter)
))(fst(
forestFromLineIndents(tail(indentedLines))
))
)
))
);
};
// TEST -----------------------------------------------
// main :: IO ()
const main = () =>
console.log(
// strOutline is included as literal text
// at the foot of this code listing.
updatedCoverageOutline(strOutline)
);
// COVERAGE AND SHARES OF RESIDUE ---------------------
// weightedCoverage :: Dict -> Forest Dict -> Tree Dict
const weightedCoverage = x => xs => {
const
cws = map(compose(
fanArrow(x => x.coverage)(x => x.weight),
root
))(xs),
totalWeight = cws.reduce((a, tpl) => a + snd(tpl), 0);
return Node(
insertDict('coverage')(
cws.reduce((a, tpl) => {
const [c, w] = Array.from(tpl);
return a + (c * w);
}, x.coverage) / (
0 < totalWeight ? totalWeight : 1
)
)(x)
)(xs);
};
// withResidueShares :: Float -> Tree Dict -> Tree Dict
const withResidueShares = shareOfTotal => tree => {
const go = fraction => node => {
const
nodeRoot = node.root,
forest = node.nest,
weights = forest.map(x => x.root.weight),
weightTotal = sum(weights);
return Node(
insertDict('share')(
fraction * (1 - nodeRoot.coverage)
)(nodeRoot)
)(
zipWith(go)(
weights.map(w => fraction * (w / weightTotal))
)(forest)
);
};
return go(shareOfTotal)(tree);
};
// OUTLINE PARSED TO TREE -----------------------------
// forestFromLineIndents :: [(Int, String)] -> [Tree String]
const forestFromLineIndents = tuples => {
const go = xs =>
0 < xs.length ? (() => {
const [n, s] = Array.from(xs[0]);
// Lines indented under this line,
// tupled with all the rest.
const [firstTreeLines, rest] = Array.from(
span(x => n < x[0])(xs.slice(1))
);
// This first tree, and then the rest.
return [Node(s)(go(firstTreeLines))]
.concat(go(rest));
})() : [];
return go(tuples);
};
// indentLevelsFromLines :: [String] -> [(Int, String)]
const indentLevelsFromLines = xs => {
const
indentTextPairs = xs.map(compose(
firstArrow(length), span(isSpace)
)),
indentUnit = minimum(indentTextPairs.flatMap(pair => {
const w = fst(pair);
return 0 < w ? [w] : [];
}));
return indentTextPairs.map(
firstArrow(flip(div)(indentUnit))
);
};
// partialRecord :: [String] -> Dict
const partialRecord = xs => {
const [name, weightText, coverageText] = take(3)(
xs.concat(['', '', ''])
);
return {
name: name || '?',
weight: parseFloat(weightText) || 1.0,
coverage: parseFloat(coverageText) || 0.0,
share: 0.0
};
};
// tokenizeWith :: String -> String -> [String]
const tokenizeWith = delimiter =>
// A sequence of trimmed tokens obtained by
// splitting s on the supplied delimiter.
s => s.split(delimiter).map(x => x.trim());
// TREE SERIALIZED TO OUTLINE -------------------------
// indentedLinesFromTree :: (String -> a -> String) ->
// String -> Tree a -> [String]
const indentedLinesFromTree = showRoot =>
strTab => tree => {
const go = indent =>
node => [showRoot(indent)(node.root)]
.concat(node.nest.flatMap(go(strTab + indent)));
return go('')(tree);
};
// showN :: Int -> Float -> String
const showN = p =>
n => justifyRight(7)(' ')(n.toFixed(p));
// showCoverage :: String -> String -> Dict -> String
const showCoverage = delimiter =>
indent => x => tabulation(delimiter)(
[indent + x.name, showN(0)(x.weight)]
.concat([x.coverage, x.share].map(showN(4)))
);
// tabulation :: String -> [String] -> String
const tabulation = delimiter =>
// Up to 4 tokens drawn from the argument list,
// as a single string with fixed left-justified
// white-space widths, between delimiters.
compose(
intercalate(delimiter + ' '),
zipWith(flip(justifyLeft)(' '))([31, 9, 9, 9])
);
// GENERIC AND REUSABLE FUNCTIONS ---------------------
// Node :: a -> [Tree a] -> Tree a
const Node = v => xs => ({
type: 'Node',
root: v, // any type of value (consistent across tree)
nest: xs || []
});
// Tuple (,) :: a -> b -> (a, b)
const Tuple = a => b => ({
type: 'Tuple',
'0': a,
'1': b,
length: 2
});
// compose (<<<) :: (b -> c) -> (a -> b) -> a -> c
const compose = (...fs) =>
x => fs.reduceRight((a, f) => f(a), x);
// concat :: [[a]] -> [a]
// concat :: [String] -> String
const concat = xs =>
0 < xs.length ? (() => {
const unit = 'string' !== typeof xs[0] ? (
[]
) : '';
return unit.concat.apply(unit, xs);
})() : [];
// div :: Int -> Int -> Int
const div = x => y => Math.floor(x / y);
// either :: (a -> c) -> (b -> c) -> Either a b -> c
const either = fl => fr => e =>
'Either' === e.type ? (
undefined !== e.Left ? (
fl(e.Left)
) : fr(e.Right)
) : undefined;
// Compose a function from a simple value to a tuple of
// the separate outputs of two different functions
// fanArrow (&&&) :: (a -> b) -> (a -> c) -> (a -> (b, c))
const fanArrow = f => g => x => Tuple(f(x))(
g(x)
);
// Lift a simple function to one which applies to a tuple,
// transforming only the first item of the tuple
// firstArrow :: (a -> b) -> ((a, c) -> (b, c))
const firstArrow = f => xy => Tuple(f(xy[0]))(
xy[1]
);
// flip :: (a -> b -> c) -> b -> a -> c
const flip = f =>
1 < f.length ? (
(a, b) => f(b, a)
) : (x => y => f(y)(x));
// fmapTree :: (a -> b) -> Tree a -> Tree b
const fmapTree = f => tree => {
const go = node => Node(f(node.root))(
node.nest.map(go)
);
return go(tree);
};
// foldTree :: (a -> [b] -> b) -> Tree a -> b
const foldTree = f => tree => {
const go = node => f(node.root)(
node.nest.map(go)
);
return go(tree);
};
// foldl1 :: (a -> a -> a) -> [a] -> a
const foldl1 = f => xs =>
1 < xs.length ? xs.slice(1)
.reduce(uncurry(f), xs[0]) : xs[0];
// fst :: (a, b) -> a
const fst = tpl => tpl[0];
// init :: [a] -> [a]
const init = xs =>
0 < xs.length ? (
xs.slice(0, -1)
) : undefined;
// insertDict :: String -> a -> Dict -> Dict
const insertDict = k => v => dct =>
Object.assign({}, dct, {
[k]: v
});
// intercalate :: [a] -> [[a]] -> [a]
// intercalate :: String -> [String] -> String
const intercalate = sep =>
xs => xs.join(sep);
// isSpace :: Char -> Bool
const isSpace = c => /\s/.test(c);
// justifyLeft :: Int -> Char -> String -> String
const justifyLeft = n => cFiller => s =>
n > s.length ? (
s.padEnd(n, cFiller)
) : s;
// justifyRight :: Int -> Char -> String -> String
const justifyRight = n => cFiller => s =>
n > s.length ? (
s.padStart(n, cFiller)
) : s;
// length :: [a] -> Int
const length = xs =>
(Array.isArray(xs) || 'string' === typeof xs) ? (
xs.length
) : Infinity;
// lines :: String -> [String]
const lines = s => s.split(/[\r\n]/);
// map :: (a -> b) -> [a] -> [b]
const map = f => xs =>
(Array.isArray(xs) ? (
xs
) : xs.split('')).map(f);
// minimum :: Ord a => [a] -> a
const minimum = xs =>
0 < xs.length ? (
foldl1(a => x => x < a ? x : a)(xs)
) : undefined;
// root :: Tree a -> a
const root = tree => tree.root;
// showLog :: a -> IO ()
const showLog = (...args) =>
console.log(
args
.map(JSON.stringify)
.join(' -> ')
);
// snd :: (a, b) -> b
const snd = tpl => tpl[1];
// span :: (a -> Bool) -> [a] -> ([a], [a])
const span = p => xs => {
const iLast = xs.length - 1;
return splitAt(
until(i => iLast < i || !p(xs[i]))(
succ
)(0)
)(xs);
};
// splitAt :: Int -> [a] -> ([a], [a])
const splitAt = n => xs =>
Tuple(xs.slice(0, n))(
xs.slice(n)
);
// succ :: Enum a => a -> a
const succ = x =>
1 + x;
// sum :: [Num] -> Num
const sum = xs =>
xs.reduce((a, x) => a + x, 0);
// tail :: [a] -> [a]
const tail = xs =>
0 < xs.length ? xs.slice(1) : [];
// take :: Int -> [a] -> [a]
// take :: Int -> String -> String
const take = n => xs =>
'GeneratorFunction' !== xs.constructor.constructor.name ? (
xs.slice(0, n)
) : [].concat.apply([], Array.from({
length: n
}, () => {
const x = xs.next();
return x.done ? [] : [x.value];
}));
// uncurry :: (a -> b -> c) -> ((a, b) -> c)
const uncurry = f =>
(x, y) => f(x)(y);
// unlines :: [String] -> String
const unlines = xs => xs.join('\n');
// until :: (a -> Bool) -> (a -> a) -> a -> a
const until = p => f => x => {
let v = x;
while (!p(v)) v = f(v);
return v;
};
// zipWith :: (a -> b -> c) -> [a] -> [b] -> [c]
const zipWith = f => xs => ys =>
xs.slice(
0, Math.min(xs.length, ys.length)
).map((x, i) => f(x)(ys[i]));
// SOURCE OUTLINE -----------------------------------------
const strOutline = `NAME_HIERARCHY |WEIGHT |COVERAGE |
cleaning | | |
house1 |40 | |
bedrooms | |0.25 |
bathrooms | | |
bathroom1 | |0.5 |
bathroom2 | | |
outside_lavatory | |1 |
attic | |0.75 |
kitchen | |0.1 |
living_rooms | | |
lounge | | |
dining_room | | |
conservatory | | |
playroom | |1 |
basement | | |
garage | | |
garden | |0.8 |
house2 |60 | |
upstairs | | |
bedrooms | | |
suite_1 | | |
suite_2 | | |
bedroom_3 | | |
bedroom_4 | | |
bathroom | | |
toilet | | |
attics | |0.6 |
groundfloor | | |
kitchen | | |
living_rooms | | |
lounge | | |
dining_room | | |
conservatory | | |
playroom | | |
wet_room_&_toilet | | |
garage | | |
garden | |0.9 |
hot_tub_suite | |1 |
basement | | |
cellars | |1 |
wine_cellar | |1 |
cinema | |0.75 |`;
// MAIN ---
return main();
})();

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using CSV, DataFrames, Formatting
function updatecoverage(dfname, outputname)
df = CSV.read(dfname)
dchild = Dict{Int, Vector{Int}}([i => Int[] for i in 0:maximum(df[!, 1])])
for row in eachrow(df)
push!(dchild[row[3]], row[1])
end
function coverage(t)
return dchild[t] == [] ? df[t, :COVERAGE] * df[t, :WEIGHT] :
sum(coverage, dchild[t]) / sum(x -> df[x, :WEIGHT], dchild[t]) * df[t, :WEIGHT]
end
df[!, :COVERAGE] .= coverage.(df.NUMBER)
function possibleincrease(t)
if !isempty(dchild[t])
return 0.0
else
newcoverage = deepcopy(df.COVERAGE)
newcoverage[t] = 1.0
oldcoverage = newcoverage[1]
function potentialcoverage(t)
return dchild[t] == [] ? newcoverage[t] * df[t, :WEIGHT] :
sum(potentialcoverage, dchild[t]) / sum(x -> df[x, :WEIGHT],
dchild[t]) * df[t, :WEIGHT]
end
newcoverage .= potentialcoverage.(df[!, 1])
return newcoverage[1] - oldcoverage
end
end
df.POTENTIAL = possibleincrease.(df[!, 1])
CSV.write(outputname, df)
end
function displaycoveragedb(dfname)
df = CSV.read(dfname)
indentlevel(t) = (i = 0; while (j = df[t, 3]) != 0 i += 1; t = j end; i)
indent1 = [indentlevel(i) for i in df.NUMBER]
maxindent = maximum(indent1)
indent2 = maxindent .- indent1
showpot = size(df)[2] == 6
println("INDEX NAME_HIERARCHY WEIGHT COVERAGE (POTENTIAL INCREASE)")
for (i, row) in enumerate(eachrow(df))
println(rpad(row[1], 7), " "^indent1[i], rpad(row[2], 20), " "^indent2[i],
rpad(row[4], 8), rpad(format(row[5]), 12), showpot && row[6] != 0 ? format(row[6]) : "")
end
end
const dbname = "coverage.csv"
const newdbname = "coverageupdated.csv"
println("Input data:")
displaycoveragedb(dbname)
updatecoverage(dbname, newdbname)
println("\nUpdated data:")
displaycoveragedb(newdbname)

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// version 1.2.10
class FCNode(val name: String, val weight: Int = 1, coverage: Double = 0.0) {
var coverage = coverage
set(value) {
if (field != value) {
field = value
// update any parent's coverage
if (parent != null) parent!!.updateCoverage()
}
}
val children = mutableListOf<FCNode>()
var parent: FCNode? = null
fun addChildren(nodes: List<FCNode>) {
children.addAll(nodes)
nodes.forEach { it.parent = this }
updateCoverage()
}
private fun updateCoverage() {
val v1 = children.sumByDouble { it.weight * it.coverage }
val v2 = children.sumBy { it.weight }
coverage = v1 / v2
}
fun show(level: Int = 0) {
val indent = level * 4
val nl = name.length + indent
print(name.padStart(nl))
print("|".padStart(32 - nl))
print(" %3d |".format(weight))
println(" %8.6f |".format(coverage))
if (children.size == 0) return
for (child in children) child.show(level + 1)
}
}
val houses = listOf(
FCNode("house1", 40),
FCNode("house2", 60)
)
val house1 = listOf(
FCNode("bedrooms", 1, 0.25),
FCNode("bathrooms"),
FCNode("attic", 1, 0.75),
FCNode("kitchen", 1, 0.1),
FCNode("living_rooms"),
FCNode("basement"),
FCNode("garage"),
FCNode("garden", 1, 0.8)
)
val house2 = listOf(
FCNode("upstairs"),
FCNode("groundfloor"),
FCNode("basement")
)
val h1Bathrooms = listOf(
FCNode("bathroom1", 1, 0.5),
FCNode("bathroom2"),
FCNode("outside_lavatory", 1, 1.0)
)
val h1LivingRooms = listOf(
FCNode("lounge"),
FCNode("dining_room"),
FCNode("conservatory"),
FCNode("playroom", 1, 1.0)
)
val h2Upstairs = listOf(
FCNode("bedrooms"),
FCNode("bathroom"),
FCNode("toilet"),
FCNode("attics", 1, 0.6)
)
val h2Groundfloor = listOf(
FCNode("kitchen"),
FCNode("living_rooms"),
FCNode("wet_room_&_toilet"),
FCNode("garage"),
FCNode("garden", 1, 0.9),
FCNode("hot_tub_suite", 1, 1.0)
)
val h2Basement = listOf(
FCNode("cellars", 1, 1.0),
FCNode("wine_cellar", 1, 1.0),
FCNode("cinema", 1, 0.75)
)
val h2UpstairsBedrooms = listOf(
FCNode("suite_1"),
FCNode("suite_2"),
FCNode("bedroom_3"),
FCNode("bedroom_4")
)
val h2GroundfloorLivingRooms = listOf(
FCNode("lounge"),
FCNode("dining_room"),
FCNode("conservatory"),
FCNode("playroom")
)
fun main(args: Array<String>) {
val cleaning = FCNode("cleaning")
house1[1].addChildren(h1Bathrooms)
house1[4].addChildren(h1LivingRooms)
houses[0].addChildren(house1)
h2Upstairs[0].addChildren(h2UpstairsBedrooms)
house2[0].addChildren(h2Upstairs)
h2Groundfloor[1].addChildren(h2GroundfloorLivingRooms)
house2[1].addChildren(h2Groundfloor)
house2[2].addChildren(h2Basement)
houses[1].addChildren(house2)
cleaning.addChildren(houses)
val topCoverage = cleaning.coverage
println("TOP COVERAGE = ${"%8.6f".format(topCoverage)}\n")
println("NAME HIERARCHY | WEIGHT | COVERAGE |")
cleaning.show()
h2Basement[2].coverage = 1.0 // change Cinema node coverage to 1.0
val diff = cleaning.coverage - topCoverage
println("\nIf the coverage of the Cinema node were increased from 0.75 to 1.0")
print("the top level coverage would increase by ")
println("${"%8.6f".format(diff)} to ${"%8.6f".format(topCoverage + diff)}")
h2Basement[2].coverage = 0.75 // restore to original value if required
}

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-- DATA:
local function node(name, weight, coverage, children)
return { name=name, weight=weight or 1.0, coverage=coverage or 0.0, sumofweights=0, delta=0, children=children }
end
local root =
node("cleaning", nil, nil, {
node("house1", 40, nil, {
node("bedrooms", nil, 0.25),
node("bathrooms", nil, nil, {
node("bathroom1", nil, 0.5),
node("bathroom2"),
node("outside_lavatory", nil, 1)
}),
node("attic", nil, 0.75),
node("kitchen", nil, 0.1),
node("living_rooms", nil, nil, {
node("lounge"),
node("dining_room"),
node("conservatory"),
node("playroom",nil,1)
}),
node("basement"),
node("garage"),
node("garden", nil, 0.8)
}),
node("house2", 60, nil, {
node("upstairs", nil, nil, {
node("bedrooms", nil, nil, {
node("suite_1"),
node("suite_2"),
node("bedroom_3"),
node("bedroom_4")
}),
node("bathroom"),
node("toilet"),
node("attics", nil, 0.6)
}),
node("groundfloor", nil, nil, {
node("kitchen"),
node("living_rooms", nil, nil, {
node("lounge"),
node("dining_room"),
node("conservatory"),
node("playroom")
}),
node("wet_room_&_toilet"),
node("garage"),
node("garden", nil, 0.9),
node("hot_tub_suite", nil, 1)
}),
node("basement", nil, nil, {
node("cellars", nil, 1),
node("wine_cellar", nil, 1),
node("cinema", nil, 0.75)
})
})
})
-- TASK:
local function calccover(node)
if (node.children) then
local cnt, sum = 0, 0
for _,child in ipairs(node.children) do
local ccnt, csum = calccover(child)
cnt, sum = cnt+ccnt, sum+csum
end
node.coverage = sum/cnt
node.sumofweights = cnt -- just as prep for extra credit
end
return node.weight, node.coverage * node.weight
end
calccover(root)
-- EXTRA CREDIT:
local function calcdelta(node, power)
node.delta = (1.0 - node.coverage) * power
if (node.children) then
for _,child in ipairs(node.children) do
calcdelta(child, power * child.weight / node.sumofweights)
end
end
end
calcdelta(root,1)
-- OUTPUT:
local function printnode(node, space)
print(string.format("%-32s| %3.f | %8.6f | %8.6f |", string.rep(" ",space)..node.name, node.weight, node.coverage, node.delta))
if node.children then
for _,child in ipairs(node.children) do printnode(child,space+4) end
end
end
print("NAME_HIERARCHY |WEIGHT |COVERAGE |DELTA |")
printnode(root,0)

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import strformat, strutils
type
FCNode = ref object
name: string
weight: int
coverage: float
children: seq[FCNode]
parent: FCNode
func newFCNode(name: string; weight: int; coverage: float): FCNode =
FCNode(name: name, weight: weight, coverage: coverage)
# Forward reference.
func updateCoverage(n: FCNode)
func addChildren(n: FCNode; nodes: openArray[FCNode]) =
for node in nodes:
node.parent = n
n.children = @nodes
n.updateCoverage()
func setCoverage(n: FCNode; value: float) =
if n.coverage != value:
n.coverage = value
# Update any parent's coverage.
if not n.parent.isNil:
n.parent.updateCoverage()
func updateCoverage(n: FCNode) =
var v1 = 0.0
var v2 = 0
for node in n.children:
v1 += node.weight.toFloat * node.coverage
v2 += node.weight
n.setCoverage(v1 / v2.toFloat)
proc show(n: FCNode; level: int) =
let indent = level * 4
let nl = n.name.len + indent
const Sep = "|"
echo &"{n.name.align(nl)}{Sep.align(32-nl)} {n.weight:>3d} | {n.coverage:8.6f} |"
for child in n.children:
child.show(level + 1)
#———————————————————————————————————————————————————————————————————————————————————————————————————
let houses = [newFCNode("house1", 40, 0), newFCNode("house2", 60, 0)]
let house1 = [
newFCNode("bedrooms", 1, 0.25),
newFCNode("bathrooms", 1, 0),
newFCNode("attic", 1, 0.75),
newFCNode("kitchen", 1, 0.1),
newFCNode("living_rooms", 1, 0),
newFCNode("basement", 1, 0),
newFCNode("garage", 1, 0),
newFCNode("garden", 1, 0.8)]
let house2 = [
newFCNode("upstairs", 1, 0),
newFCNode("groundfloor", 1, 0),
newFCNode("basement", 1, 0)]
let h1Bathrooms = [
newFCNode("bathroom1", 1, 0.5),
newFCNode("bathroom2", 1, 0),
newFCNode("outside_lavatory", 1, 1)]
let h1LivingRooms = [
newFCNode("lounge", 1, 0),
newFCNode("dining_room", 1, 0),
newFCNode("conservatory", 1, 0),
newFCNode("playroom", 1, 1)]
let h2Upstairs = [
newFCNode("bedrooms", 1, 0),
newFCNode("bathroom", 1, 0),
newFCNode("toilet", 1, 0),
newFCNode("attics", 1, 0.6)]
let h2Groundfloor = [
newFCNode("kitchen", 1, 0),
newFCNode("living_rooms", 1, 0),
newFCNode("wet_room_&_toilet", 1, 0),
newFCNode("garage", 1, 0),
newFCNode("garden", 1, 0.9),
newFCNode("hot_tub_suite", 1, 1)]
let h2Basement = [
newFCNode("cellars", 1, 1),
newFCNode("wine_cellar", 1, 1),
newFCNode("cinema", 1, 0.75)]
let h2UpstairsBedrooms = [
newFCNode("suite_1", 1, 0),
newFCNode("suite_2", 1, 0),
newFCNode("bedroom_3", 1, 0),
newFCNode("bedroom_4", 1, 0)]
let h2GroundfloorLivingRooms = [
newFCNode("lounge", 1, 0),
newFCNode("dining_room", 1, 0),
newFCNode("conservatory", 1, 0),
newFCNode("playroom", 1, 0)]
let cleaning = newFCNode("cleaning", 1, 0)
house1[1].addChildren(h1Bathrooms)
house1[4].addChildren(h1LivingRooms)
houses[0].addChildren(house1)
h2Upstairs[0].addChildren(h2UpstairsBedrooms)
house2[0].addChildren(h2Upstairs)
h2Groundfloor[1].addChildren(h2GroundfloorLivingRooms)
house2[1].addChildren(h2Groundfloor)
house2[2].addChildren(h2Basement)
houses[1].addChildren(house2)
cleaning.addChildren(houses)
let topCoverage = cleaning.coverage
echo &"TOP COVERAGE = {topCoverage:8.6f}\n"
echo "NAME HIERARCHY | WEIGHT | COVERAGE |"
cleaning.show(0)
h2Basement[2].setCoverage(1) # Change Cinema node coverage to 1.
let diff = cleaning.coverage - topCoverage
echo "\nIf the coverage of the Cinema node were increased from 0.75 to 1"
echo &"the top level coverage would increase by {diff:8.6f} to {topCoverage + diff:8.6f}"
h2Basement[2].setCoverage(0.75) # Restore to original value if required.

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use strict;
use warnings;
sub walktree {
my @parts;
while( $_[0] =~ /(?<head> (\s*) \N+\n ) # split off one level as 'head' (or terminal 'leaf')
(?<body> (?:\2 \s\N+\n)*)/gx ) { # next sub-level is 'body' (defined by extra depth of indentation)
my($head, $body) = ($+{head}, $+{body});
$head =~ /^.*? \| # ignore name
(\S*) \s* \| # save weight
(\S*) /x; # save coverage
my $weight = sprintf '%-8s', $1 || 1;
my $coverage = sprintf '%-10s', $2 || 0;
my($w, $wsum) = (0, 0);
$head .= $_->[0],
$w += $_->[1],
$wsum += $_->[1] * $_->[2]
for walktree( $body );
$coverage = sprintf '%-10.2g', $wsum/$w unless $w == 0;
push @parts, [ $head =~ s/\|.*/|$weight|$coverage|/r, $weight, $coverage ];
}
return @parts;
}
print $_->[0] for walktree( join '', <DATA> );
__DATA__
NAME_HIERARCHY |WEIGHT |COVERAGE |
cleaning | | |
house1 |40 | |
bedrooms | |0.25 |
bathrooms | | |
bathroom1 | |0.5 |
bathroom2 | | |
outside_lavatory | |1 |
attic | |0.75 |
kitchen | |0.1 |
living_rooms | | |
lounge | | |
dining_room | | |
conservatory | | |
playroom | |1 |
basement | | |
garage | | |
garden | |0.8 |
house2 |60 | |
upstairs | | |
bedrooms | | |
suite_1 | | |
suite_2 | | |
bedroom_3 | | |
bedroom_4 | | |
bathroom | | |
toilet | | |
attics | |0.6 |
groundfloor | | |
kitchen | | |
living_rooms | | |
lounge | | |
dining_room | | |
conservatory | | |
playroom | | |
wet_room_&_toilet | | |
garage | | |
garden | |0.9 |
hot_tub_suite | |1 |
basement | | |
cellars | |1 |
wine_cellar | |1 |
cinema | |0.75 |

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@ -0,0 +1,113 @@
(phixonline)-->
<span style="color: #000080;font-style:italic;">--
-- demo\rosetta\Functional_coverage_tree.exw
-- =========================================
--</span>
<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span>
<span style="color: #008080;">constant</span> <span style="color: #000000;">data</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">"""
NAME_HIERARCHY | WEIGHT | COVERAGE |
cleaning | | |
house1 |40 | |
bedrooms | |0.25 |
bathrooms | | |
bathroom1 | |0.5 |
bathroom2 | | |
outside_lavatory | |1 |
attic | |0.75 |
kitchen | |0.1 |
living_rooms | | |
lounge | | |
dining_room | | |
conservatory | | |
playroom | |1 |
basement | | |
garage | | |
garden | |0.8 |
house2 |60 | |
upstairs | | |
bedrooms | | |
suite_1 | | |
suite_2 | | |
bedroom_3 | | |
bedroom_4 | | |
bathroom | | |
toilet | | |
attics | |0.6 |
groundfloor | | |
kitchen | | |
living_rooms | | |
lounge | | |
dining_room | | |
conservatory | | |
playroom | | |
wet_room_&_toilet | | |
garage | | |
garden | |0.9 |
hot_tub_suite | |1 |
basement | | |
cellars | |1 |
wine_cellar | |1 |
cinema | |0.75 |
"""</span>
<span style="color: #004080;">sequence</span> <span style="color: #000000;">lines</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">split</span><span style="color: #0000FF;">(</span><span style="color: #000000;">data</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"\n"</span><span style="color: #0000FF;">),</span>
<span style="color: #000000;">pi</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{},</span> <span style="color: #000080;font-style:italic;">-- indents (to locate parents)</span>
<span style="color: #000000;">pdx</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{},</span> <span style="color: #000080;font-style:italic;">-- indexes for ""</span>
<span style="color: #000000;">children</span>
<span style="color: #004080;">string</span> <span style="color: #000000;">desc</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">weights</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">covers</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">parent</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">child</span>
<span style="color: #004080;">atom</span> <span style="color: #000000;">weight</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">coverage</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">childw</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
<span style="color: #008080;">enum</span> <span style="color: #000000;">DESC</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">WEIGHT</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">COVERAGE</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">PARENT</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">CHILDREN</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">CHILDW</span>
<span style="color: #000000;">lines</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">&=</span> <span style="color: #008000;">" SHARE OF RESIDUE"</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">2</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">lines</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
<span style="color: #000080;font-style:italic;">-- decode text to useable data, link up parents & children</span>
<span style="color: #0000FF;">{</span><span style="color: #000000;">desc</span><span style="color: #0000FF;">,</span><span style="color: #000000;">weights</span><span style="color: #0000FF;">,</span><span style="color: #000000;">covers</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">split</span><span style="color: #0000FF;">(</span><span style="color: #000000;">lines</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">],</span><span style="color: #008000;">"|"</span><span style="color: #0000FF;">)</span>
<span style="color: #000080;font-style:italic;">-- (nb this assumes /totally/ consistent indenting)</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">indent</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">desc</span><span style="color: #0000FF;">)-</span><span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">trim_head</span><span style="color: #0000FF;">(</span><span style="color: #000000;">desc</span><span style="color: #0000FF;">)),</span>
<span style="color: #000000;">k</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">find</span><span style="color: #0000FF;">(</span><span style="color: #000000;">indent</span><span style="color: #0000FF;">,</span><span style="color: #000000;">pi</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">k</span><span style="color: #0000FF;">=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">pi</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">append</span><span style="color: #0000FF;">(</span><span style="color: #000000;">pi</span><span style="color: #0000FF;">,</span><span style="color: #000000;">indent</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">pdx</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">append</span><span style="color: #0000FF;">(</span><span style="color: #000000;">pdx</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">k</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">pi</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #000000;">pdx</span><span style="color: #0000FF;">[</span><span style="color: #000000;">k</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">i</span>
<span style="color: #000000;">parent</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">k</span><span style="color: #0000FF;">></span><span style="color: #000000;">1</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">parent</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">pdx</span><span style="color: #0000FF;">[</span><span style="color: #000000;">k</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]</span>
<span style="color: #000080;font-style:italic;">-- lines[parent][CHILDREN] &= i</span>
<span style="color: #000000;">lines</span><span style="color: #0000FF;">[</span><span style="color: #000000;">parent</span><span style="color: #0000FF;">][</span><span style="color: #000000;">CHILDREN</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">deep_copy</span><span style="color: #0000FF;">(</span><span style="color: #000000;">lines</span><span style="color: #0000FF;">[</span><span style="color: #000000;">parent</span><span style="color: #0000FF;">][</span><span style="color: #000000;">CHILDREN</span><span style="color: #0000FF;">])</span> <span style="color: #0000FF;">&</span> <span style="color: #000000;">i</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #000000;">children</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{}</span>
<span style="color: #000000;">weight</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">to_number</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">trim</span><span style="color: #0000FF;">(</span><span style="color: #000000;">weights</span><span style="color: #0000FF;">),</span><span style="color: #000000;">1</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">coverage</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">to_number</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">trim</span><span style="color: #0000FF;">(</span><span style="color: #000000;">covers</span><span style="color: #0000FF;">),</span><span style="color: #000000;">0</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">lines</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">desc</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">weight</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">coverage</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">parent</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">children</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">childw</span><span style="color: #0000FF;">}</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">lines</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">to</span> <span style="color: #000000;">2</span> <span style="color: #008080;">by</span> <span style="color: #0000FF;">-</span><span style="color: #000000;">1</span> <span style="color: #008080;">do</span>
<span style="color: #000080;font-style:italic;">-- calculate the parent coverages, and save child weight sums</span>
<span style="color: #000000;">children</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">lines</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">][</span><span style="color: #000000;">CHILDREN</span><span style="color: #0000FF;">]</span>
<span style="color: #008080;">if</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">children</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">coverage</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
<span style="color: #000000;">childw</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">c</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">children</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
<span style="color: #000000;">child</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">children</span><span style="color: #0000FF;">[</span><span style="color: #000000;">c</span><span style="color: #0000FF;">]</span>
<span style="color: #004080;">atom</span> <span style="color: #000000;">w</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">lines</span><span style="color: #0000FF;">[</span><span style="color: #000000;">child</span><span style="color: #0000FF;">][</span><span style="color: #000000;">WEIGHT</span><span style="color: #0000FF;">]</span>
<span style="color: #000000;">coverage</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">lines</span><span style="color: #0000FF;">[</span><span style="color: #000000;">child</span><span style="color: #0000FF;">][</span><span style="color: #000000;">COVERAGE</span><span style="color: #0000FF;">]*</span><span style="color: #000000;">w</span>
<span style="color: #000000;">childw</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">w</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #000000;">lines</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">][</span><span style="color: #000000;">COVERAGE</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">coverage</span><span style="color: #0000FF;">/</span><span style="color: #000000;">childw</span>
<span style="color: #000000;">lines</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">][</span><span style="color: #000000;">CHILDW</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">childw</span> <span style="color: #000080;font-style:italic;">-- (save for next loop)</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">lines</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">to</span> <span style="color: #000000;">2</span> <span style="color: #008080;">by</span> <span style="color: #0000FF;">-</span><span style="color: #000000;">1</span> <span style="color: #008080;">do</span>
<span style="color: #000080;font-style:italic;">-- calculate the share of residue, and format lines</span>
<span style="color: #000000;">child</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">i</span>
<span style="color: #0000FF;">{</span><span style="color: #000000;">desc</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">weight</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">coverage</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">parent</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">lines</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]</span>
<span style="color: #004080;">atom</span> <span style="color: #000000;">residue</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">1</span><span style="color: #0000FF;">-</span><span style="color: #000000;">coverage</span>
<span style="color: #008080;">while</span> <span style="color: #000000;">parent</span> <span style="color: #008080;">do</span>
<span style="color: #000000;">residue</span> <span style="color: #0000FF;">*=</span> <span style="color: #000000;">lines</span><span style="color: #0000FF;">[</span><span style="color: #000000;">child</span><span style="color: #0000FF;">][</span><span style="color: #000000;">WEIGHT</span><span style="color: #0000FF;">]/</span><span style="color: #000000;">lines</span><span style="color: #0000FF;">[</span><span style="color: #000000;">parent</span><span style="color: #0000FF;">][</span><span style="color: #000000;">CHILDW</span><span style="color: #0000FF;">]</span>
<span style="color: #0000FF;">{</span><span style="color: #000000;">child</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">parent</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">parent</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">lines</span><span style="color: #0000FF;">[</span><span style="color: #000000;">parent</span><span style="color: #0000FF;">][</span><span style="color: #000000;">PARENT</span><span style="color: #0000FF;">]}</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">while</span>
<span style="color: #000000;">lines</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">sprintf</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"%-32s| %6d | %-8g | %g"</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">desc</span><span style="color: #0000FF;">,</span><span style="color: #000000;">weight</span><span style="color: #0000FF;">,</span><span style="color: #000000;">coverage</span><span style="color: #0000FF;">,</span><span style="color: #000000;">residue</span><span style="color: #0000FF;">})</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #7060A8;">puts</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">join</span><span style="color: #0000FF;">(</span><span style="color: #000000;">lines</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"\n"</span><span style="color: #0000FF;">)&</span><span style="color: #008000;">"\n"</span><span style="color: #0000FF;">)</span>
<span style="color: #0000FF;">{}</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">wait_key</span><span style="color: #0000FF;">()</span>
<!--

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@ -0,0 +1,153 @@
from itertools import zip_longest
fc2 = '''\
cleaning,,
house1,40,
bedrooms,,.25
bathrooms,,
bathroom1,,.5
bathroom2,,
outside_lavatory,,1
attic,,.75
kitchen,,.1
living_rooms,,
lounge,,
dining_room,,
conservatory,,
playroom,,1
basement,,
garage,,
garden,,.8
house2,60,
upstairs,,
bedrooms,,
suite_1,,
suite_2,,
bedroom_3,,
bedroom_4,,
bathroom,,
toilet,,
attics,,.6
groundfloor,,
kitchen,,
living_rooms,,
lounge,,
dining_room,,
conservatory,,
playroom,,
wet_room_&_toilet,,
garage,,
garden,,.9
hot_tub_suite,,1
basement,,
cellars,,1
wine_cellar,,1
cinema,,.75
'''
NAME, WT, COV = 0, 1, 2
def right_type(txt):
try:
return float(txt)
except ValueError:
return txt
def commas_to_list(the_list, lines, start_indent=0):
'''
Output format is a nest of lists and tuples
lists are for coverage leaves without children items in the list are name, weight, coverage
tuples are 2-tuples for nodes with children. The first element is a list representing the
name, weight, coverage of the node (some to be calculated); the second element is a list of
child elements which may be 2-tuples or lists as above.
the_list is modified in-place
lines must be a generator of successive lines of input like fc2
'''
for n, line in lines:
indent = 0
while line.startswith(' ' * (4 * indent)):
indent += 1
indent -= 1
fields = [right_type(f) for f in line.strip().split(',')]
if indent == start_indent:
the_list.append(fields)
elif indent > start_indent:
lst = [fields]
sub = commas_to_list(lst, lines, indent)
the_list[-1] = (the_list[-1], lst)
if sub not in (None, ['']) :
the_list.append(sub)
else:
return fields if fields else None
return None
def pptreefields(lst, indent=0, widths=['%-32s', '%-8g', '%-10g']):
'''
Pretty prints the format described from function commas_to_list as a table with
names in the first column suitably indented and all columns having a fixed
minimum column width.
'''
lhs = ' ' * (4 * indent)
for item in lst:
if type(item) != tuple:
name, *rest = item
print(widths[0] % (lhs + name), end='|')
for width, item in zip_longest(widths[1:len(rest)], rest, fillvalue=widths[-1]):
if type(item) == str:
width = width[:-1] + 's'
print(width % item, end='|')
print()
else:
item, children = item
name, *rest = item
print(widths[0] % (lhs + name), end='|')
for width, item in zip_longest(widths[1:len(rest)], rest, fillvalue=widths[-1]):
if type(item) == str:
width = width[:-1] + 's'
print(width % item, end='|')
print()
pptreefields(children, indent+1)
def default_field(node_list):
node_list[WT] = node_list[WT] if node_list[WT] else 1.0
node_list[COV] = node_list[COV] if node_list[COV] else 0.0
def depth_first(tree, visitor=default_field):
for item in tree:
if type(item) == tuple:
item, children = item
depth_first(children, visitor)
visitor(item)
def covercalc(tree):
'''
Depth first weighted average of coverage
'''
sum_covwt, sum_wt = 0, 0
for item in tree:
if type(item) == tuple:
item, children = item
item[COV] = covercalc(children)
sum_wt += item[WT]
sum_covwt += item[COV] * item[WT]
cov = sum_covwt / sum_wt
return cov
if __name__ == '__main__':
lstc = []
commas_to_list(lstc, ((n, ln) for n, ln in enumerate(fc2.split('\n'))))
#pp(lstc, width=1, indent=4, compact=1)
#print('\n\nEXPANDED DEFAULTS\n')
depth_first(lstc)
#pptreefields(['NAME_HIERARCHY WEIGHT COVERAGE'.split()] + lstc)
print('\n\nTOP COVERAGE = %f\n' % covercalc(lstc))
depth_first(lstc)
pptreefields(['NAME_HIERARCHY WEIGHT COVERAGE'.split()] + lstc)

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# -*- coding: utf-8 -*-
SPACES = 4
class Node:
path2node = {}
def add_node(self, pathname, wt, cov):
path2node = self.path2node
path, name = pathname.strip().rsplit('/', 1)
node = Node(name, wt, cov)
path2node[pathname] = node
path2node[path].child.append(node) # Link the tree
def __init__(self, name="", wt=1, cov=0.0, child=None):
if child is None:
child = []
self.name, self.wt, self.cov, self.child = name, wt, cov, child
self.delta = None
self.sum_wt = wt
if name == "":
# designate the top of the tree
self.path2node[name] = self
def __repr__(self, indent=0):
name, wt, cov, delta, child = (self.name, self.wt, self.cov,
self.delta, self.child)
lhs = ' ' * (SPACES * indent) + "Node(%r," % name
txt = '%-40s wt=%2g, cov=%-8.5g, delta=%-10s, child=[' \
% (lhs, wt, cov, ('n/a' if delta is None else '%-10.7f' % delta))
if not child:
txt += (']),\n')
else:
txt += ('\n')
for c in child:
txt += c.__repr__(indent + 1)
txt += (' ' * (SPACES * indent) + "]),\n")
return txt
def covercalc(self):
'''
Depth first weighted average of coverage
'''
child = self.child
if not child:
return self.cov
sum_covwt, sum_wt = 0, 0
for node in child:
nwt = node.wt
ncov = node.covercalc()
sum_wt += nwt
sum_covwt += ncov * nwt
cov = sum_covwt / sum_wt
self.sum_wt = sum_wt
self.cov = cov
return cov
def deltacalc(self, power=1.0):
'''
Top down distribution of weighted residuals
'''
sum_wt = self.sum_wt
self.delta = delta = (1 - self.cov) * power
for node in self.child:
node.deltacalc(power * node.wt / sum_wt)
return delta
def isclose(a, b, rel_tol=1e-9, abs_tol=1e-9):
return abs(a-b) <= max( rel_tol * max(abs(a), abs(b)), abs_tol )
if __name__ == '__main__':
top = Node() # Add placeholder for top of tree
add_node = top.add_node
add_node('/cleaning', 1, 0)
add_node('/cleaning/house1', 40, 0)
add_node('/cleaning/house1/bedrooms', 1, 0.25)
add_node('/cleaning/house1/bathrooms', 1, 0)
add_node('/cleaning/house1/bathrooms/bathroom1', 1, 0.5)
add_node('/cleaning/house1/bathrooms/bathroom2', 1, 0)
add_node('/cleaning/house1/bathrooms/outside_lavatory', 1, 1)
add_node('/cleaning/house1/attic', 1, 0.75)
add_node('/cleaning/house1/kitchen', 1, 0.1)
add_node('/cleaning/house1/living_rooms', 1, 0)
add_node('/cleaning/house1/living_rooms/lounge', 1, 0)
add_node('/cleaning/house1/living_rooms/dining_room', 1, 0)
add_node('/cleaning/house1/living_rooms/conservatory', 1, 0)
add_node('/cleaning/house1/living_rooms/playroom', 1, 1)
add_node('/cleaning/house1/basement', 1, 0)
add_node('/cleaning/house1/garage', 1, 0)
add_node('/cleaning/house1/garden', 1, 0.8)
add_node('/cleaning/house2', 60, 0)
add_node('/cleaning/house2/upstairs', 1, 0)
add_node('/cleaning/house2/upstairs/bedrooms', 1, 0)
add_node('/cleaning/house2/upstairs/bedrooms/suite_1', 1, 0)
add_node('/cleaning/house2/upstairs/bedrooms/suite_2', 1, 0)
add_node('/cleaning/house2/upstairs/bedrooms/bedroom_3', 1, 0)
add_node('/cleaning/house2/upstairs/bedrooms/bedroom_4', 1, 0)
add_node('/cleaning/house2/upstairs/bathroom', 1, 0)
add_node('/cleaning/house2/upstairs/toilet', 1, 0)
add_node('/cleaning/house2/upstairs/attics', 1, 0.6)
add_node('/cleaning/house2/groundfloor', 1, 0)
add_node('/cleaning/house2/groundfloor/kitchen', 1, 0)
add_node('/cleaning/house2/groundfloor/living_rooms', 1, 0)
add_node('/cleaning/house2/groundfloor/living_rooms/lounge', 1, 0)
add_node('/cleaning/house2/groundfloor/living_rooms/dining_room', 1, 0)
add_node('/cleaning/house2/groundfloor/living_rooms/conservatory', 1, 0)
add_node('/cleaning/house2/groundfloor/living_rooms/playroom', 1, 0)
add_node('/cleaning/house2/groundfloor/wet_room_&_toilet', 1, 0)
add_node('/cleaning/house2/groundfloor/garage', 1, 0)
add_node('/cleaning/house2/groundfloor/garden', 1, 0.9)
add_node('/cleaning/house2/groundfloor/hot_tub_suite', 1, 1)
add_node('/cleaning/house2/basement', 1, 0)
add_node('/cleaning/house2/basement/cellars', 1, 1)
add_node('/cleaning/house2/basement/wine_cellar', 1, 1)
add_node('/cleaning/house2/basement/cinema', 1, 0.75)
top = top.child[0] # Remove artificial top
cover = top.covercalc()
delta = top.deltacalc()
print('TOP COVERAGE = %g\n' % cover)
print(top)
assert isclose((delta + cover), 1.0), "Top level delta + coverage should " \
"equal 1 instead of (%f + %f)" % (delta, cover)

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'''Functional coverage tree'''
from itertools import chain, product
from functools import reduce
# main :: IO ()
def main():
'''Tabular outline serialisation of a parse tree
decorated with computations of:
1. Weighted coverage of each tree node.
2. Each node's share of the total project's
remaining work.
'''
columnWidths = [31, 9, 9, 9]
delimiter = '|'
reportLines = REPORT.splitlines()
columnTitles = init(columnNames(delimiter)(reportLines[0]))
# ------ SERIALISATION OF DECORATED PARSE TREE -------
print(titleLine(delimiter)(columnWidths)(
columnTitles + ['share of residue']
))
print(indentedLinesFromTree(' ', tabulation(columnWidths))(
# -------- TWO COMPUTATIONS BY TRAVERSAL ---------
withResidueShares(1.0)(
foldTree(weightedCoverage)(
# --- TREE FROM PARSE OF OUTLINE TEXT ----
fmapTree(
recordFromKeysDefaultsDelimiterAndLine(
columnTitles
)(
[str, float, float])([
'?', 1.0, 0.0
])(delimiter)
)(
forestFromIndentLevels(
indentLevelsFromLines(
reportLines[1:]
)
)[0]
)
)
)
))
# ---- WEIGHTED COVERAGE, AND SHARE OF TOTAL RESIDUE -----
# weightedCoverage :: Tree Dict ->
# [Tree Dict] -> Tree Dict
def weightedCoverage(x):
'''The weighted coverage of a tree node,
as a function of the weighted averages
of its children.
'''
def go(xs):
cws = [
(r['coverage'], r['weight']) for r
in [root(x) for x in xs]
]
totalWeight = reduce(lambda a, x: a + x[1], cws, 0)
return Node(dict(
x, **{
'coverage': round(reduce(
lambda a, cw: a + (cw[0] * cw[1]),
cws, x['coverage']
) / (totalWeight if 0 < totalWeight else 1), 5)
}
))(xs)
return go
# withResidueShares :: Float -> Tree Dict -> Tree Dict
def withResidueShares(shareOfTotal):
'''A Tree of dictionaries additionally decorated with each
node's proportion of the total project's outstanding work.
'''
def go(fraction, node):
[nodeRoot, nodeNest] = ap([root, nest])([node])
weights = [root(x)['weight'] for x in nodeNest]
siblingsTotal = sum(weights)
return Node(
insertDict('residual_share')(
round(fraction * (1 - nodeRoot['coverage']), 5)
)(nodeRoot)
)(
map(
go,
[fraction * (w / siblingsTotal) for w in weights],
nodeNest
)
)
return lambda tree: go(shareOfTotal, tree)
# ------------------ OUTLINE TABULATION ------------------
# tabulation :: [Int] -> String -> Dict -> String
def tabulation(columnWidths):
'''Indented string representation of a node
in a functional coverage tree.
'''
return lambda indent, dct: '| '.join(map(
lambda k, w: (
(indent if 10 < w else '') + str(dct.get(k, ''))
).ljust(w, ' '),
dct.keys(),
columnWidths
))
# titleLine :: String -> [Int] -> [String] -> String
def titleLine(delimiter):
'''A string consisting of a spaced and delimited
series of upper-case column titles.
'''
return lambda columnWidths: lambda ks: (
delimiter + ' '
).join(map(
lambda k, w: k.ljust(w, ' '),
[k.upper() for k in ks],
columnWidths
))
# ------------ GENERIC AND REUSABLE FUNCTIONS ------------
# Node :: a -> [Tree a] -> Tree a
def Node(v):
'''Constructor for a Tree node which connects a
value of some kind to a list of zero or
more child trees.
'''
return lambda xs: {'type': 'Tree', 'root': v, 'nest': xs}
# ap (<*>) :: [(a -> b)] -> [a] -> [b]
def ap(fs):
'''The application of each of a list of functions,
to each of a list of values.
'''
def go(xs):
return [
f(x) for (f, x)
in product(fs, xs)
]
return go
# columnNames :: String -> String -> [String]
def columnNames(delimiter):
'''A list of lower-case keys derived from
a header line and a delimiter character.
'''
return compose(
fmapList(compose(toLower, strip)),
splitOn(delimiter)
)
# compose :: ((a -> a), ...) -> (a -> a)
def compose(*fs):
'''Composition, from right to left,
of a series of functions.
'''
return lambda x: reduce(
lambda a, f: f(a),
fs[::-1], x
)
# concatMap :: (a -> [b]) -> [a] -> [b]
def concatMap(f):
'''A concatenated list over which a function has been mapped.
The list monad can be derived by using a function f which
wraps its output in a list,
(using an empty list to represent computational failure).
'''
def go(xs):
return chain.from_iterable(map(f, xs))
return go
# div :: Int -> Int -> Int
def div(x):
'''Integer division.'''
return lambda y: x // y
# first :: (a -> b) -> ((a, c) -> (b, c))
def first(f):
'''A simple function lifted to a function over a tuple,
with f applied only the first of two values.
'''
return lambda xy: (f(xy[0]), xy[1])
# flip :: (a -> b -> c) -> b -> a -> c
def flip(f):
'''The (curried or uncurried) function f with its
arguments reversed.
'''
return lambda a: lambda b: f(b)(a)
# fmapList :: (a -> b) -> [a] -> [b]
def fmapList(f):
'''fmap over a list.
f lifted to a function over a list.
'''
return lambda xs: [f(x) for x in xs]
# fmapTree :: (a -> b) -> Tree a -> Tree b
def fmapTree(f):
'''A new tree holding the results of
an application of f to each root in
the existing tree.
'''
def go(x):
return Node(
f(x['root'])
)([go(v) for v in x['nest']])
return go
# foldTree :: (a -> [b] -> b) -> Tree a -> b
def foldTree(f):
'''The catamorphism on trees. A summary
value defined by a depth-first fold.
'''
def go(node):
return f(root(node))([
go(x) for x in nest(node)
])
return go
# forestFromIndentLevels :: [(Int, a)] -> [Tree a]
def forestFromIndentLevels(tuples):
'''A list of trees derived from a list of values paired
with integers giving their levels of indentation.
'''
def go(xs):
if xs:
intIndent, v = xs[0]
firstTreeLines, rest = span(
lambda x: intIndent < x[0]
)(xs[1:])
return [Node(v)(go(firstTreeLines))] + go(rest)
else:
return []
return go(tuples)
# fst :: (a, b) -> a
def fst(tpl):
'''First member of a pair.'''
return tpl[0]
# indentLevelsFromLines :: [String] -> [(Int, String)]
def indentLevelsFromLines(xs):
'''Each input line stripped of leading
white space, and tupled with a preceding integer
giving its level of indentation from 0 upwards.
'''
indentTextPairs = list(map(
compose(first(len), span(isSpace)),
xs
))
indentUnit = min(concatMap(
lambda x: [x[0]] if x[0] else []
)(indentTextPairs))
return list(map(
first(flip(div)(indentUnit)),
indentTextPairs
))
# indentedLinesFromTree :: String -> (String -> a -> String) ->
# [Tree a] -> String
def indentedLinesFromTree(strTab, f):
'''An indented line rendering of a tree, in which
the function f stringifies a root value.
'''
def go(indent):
return lambda node: [f(indent, node['root'])] + list(
concatMap(
go(strTab + indent)
)(node['nest'])
)
return lambda tree: '\n'.join(go('')(tree))
# init :: [a] -> [a]
def init(xs):
'''A list containing all the elements
of xs except the last.
'''
return xs[:-1]
# insertDict :: String -> a -> Dict -> Dict
def insertDict(k):
'''A new dictionary updated with a (k, v) pair.'''
def go(v, dct):
return dict(dct, **{k: v})
return lambda v: lambda dct: go(v, dct)
# isSpace :: Char -> Bool
# isSpace :: String -> Bool
def isSpace(s):
'''True if s is not empty, and
contains only white space.
'''
return s.isspace()
# lt (<) :: Ord a => a -> a -> Bool
def lt(x):
'''True if x < y.'''
return lambda y: (x < y)
# nest :: Tree a -> [Tree a]
def nest(t):
'''Accessor function for children of tree node.'''
return t['nest'] if 'nest' in t else None
# recordFromKeysDefaultsAndLine :: String ->
# { name :: String, weight :: Float, completion :: Float }
def recordFromKeysDefaultsDelimiterAndLine(columnTitles):
'''A dictionary of key-value pairs, derived from a
delimited string, together with ordered lists of
key-names, types, default values, and a delimiter.
'''
return lambda ts: lambda vs: lambda delim: lambda s: dict(
map(
lambda k, t, v, x: (k, t(x) if x else v),
columnTitles, ts, vs,
map(strip, splitOn(delim)(s))
)
)
# root :: Tree a -> a
def root(t):
'''Accessor function for data of tree node.'''
return t['root'] if 'root' in t else None
# strip :: String -> String
def strip(s):
'''A copy of s without any leading or trailling
white space.
'''
return s.strip()
# span :: (a -> Bool) -> [a] -> ([a], [a])
def span(p):
'''The longest (possibly empty) prefix of xs
that contains only elements satisfying p,
tupled with the remainder of xs.
span p xs is equivalent to (takeWhile p xs, dropWhile p xs).
'''
def match(ab):
b = ab[1]
return not b or not p(b[0])
def f(ab):
a, b = ab
return a + [b[0]], b[1:]
def go(xs):
return until(match)(f)(([], xs))
return go
# splitOn :: String -> String -> [String]
def splitOn(pat):
'''A list of the strings delimited by
instances of a given pattern in s.
'''
return lambda xs: (
xs.split(pat) if isinstance(xs, str) else None
)
# toLower :: String -> String
def toLower(s):
'''String in lower case.'''
return s.lower()
# until :: (a -> Bool) -> (a -> a) -> a -> a
def until(p):
'''The result of repeatedly applying f until p holds.
The initial seed value is x.
'''
def go(f):
def g(x):
v = x
while not p(v):
v = f(v)
return v
return g
return go
# MAIN ----------------------------------------------------
if __name__ == '__main__':
REPORT = '''NAME_HIERARCHY |WEIGHT |COVERAGE |
cleaning | | |
house1 |40 | |
bedrooms | |0.25 |
bathrooms | | |
bathroom1 | |0.5 |
bathroom2 | | |
outside_lavatory | |1 |
attic | |0.75 |
kitchen | |0.1 |
living_rooms | | |
lounge | | |
dining_room | | |
conservatory | | |
playroom | |1 |
basement | | |
garage | | |
garden | |0.8 |
house2 |60 | |
upstairs | | |
bedrooms | | |
suite_1 | | |
suite_2 | | |
bedroom_3 | | |
bedroom_4 | | |
bathroom | | |
toilet | | |
attics | |0.6 |
groundfloor | | |
kitchen | | |
living_rooms | | |
lounge | | |
dining_room | | |
conservatory | | |
playroom | | |
wet_room_&_toilet | | |
garage | | |
garden | |0.9 |
hot_tub_suite | |1 |
basement | | |
cellars | |1 |
wine_cellar | |1 |
cinema | |0.75 |'''
main()

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#lang racket/base
(require racket/list racket/string racket/match racket/format racket/file)
(struct Coverage (name weight coverage weighted-coverage children) #:transparent #:mutable)
;; -| read/parse |------------------------------------------------------------------------------------
(define (build-hierarchies parsed-lines)
(define inr
(match-lambda
['() (values null null)]
[`((,head-indent . ,C) ,tail-lines ...)
(define child? (match-lambda [(cons i _) #:when (> i head-indent) #t] [_ #f]))
(define-values (chlds rels) (splitf-at tail-lines child?))
(define-values (rels-tree rels-rem) (inr rels))
(values (cons (struct-copy Coverage C (children (build-hierarchies chlds))) rels-tree)
rels-rem)]))
(define-values (hierarchies remaining-lines) (inr parsed-lines))
hierarchies)
(define report-line->indent.c/e-line
(match-lambda
[(regexp #px"^( *)([^ ]*) *\\| *([^ ]*) *\\| *([^ ]*) *\\|$"
(list _
(app string-length indent-length)
name
(or (and (not "") (app string->number wght)) (app (λ (x) 1) wght))
(or (and (not "") (app string->number cvrg)) (app (λ (x) 0) cvrg))))
(cons indent-length (Coverage name wght cvrg 0 #f))]))
(define (report->indent.c/e-list rprt)
(map report-line->indent.c/e-line (drop (string-split rprt "\n") 1)))
;; -| evaluate |--------------------------------------------------------------------------------------
(define find-wght-cvrg
(match-lambda
[(and e (Coverage _ w c _ '())) (struct-copy Coverage e (weighted-coverage (* w c)))]
[(and e (Coverage _ _ _ _ `(,(app find-wght-cvrg (and cdn+ (Coverage _ c-ws _ c-w/cs _))) ...)))
(define chld-wghtd-avg (for/sum ((w (in-list c-ws)) (w/c (in-list c-w/cs))) (* w w/c)))
(struct-copy Coverage e (weighted-coverage (/ chld-wghtd-avg (apply + c-ws))) (children cdn+))]))
;; -| printing |--------------------------------------------------------------------------------------
(define max-description-length
(match-lambda
[(Coverage (app string-length name-length) _ _ _
(list (app max-description-length children-lengths) ...))
(apply max name-length (map add1 children-lengths))]))
(define (~a/right w x)
(~a x #:width w #:align 'right))
(define (~a/decimal n dec-dgts)
(~a/right (+ dec-dgts 3) (if (zero? n) "" (real->decimal-string n dec-dgts))))
(define (print-coverage-tree tree)
(define mdl (max-description-length tree))
(printf "| ~a |WEIGT| COVER |WGHTD CVRG|~%" (~a "NAME" #:width mdl #:align 'center))
(let inr ((depth 0) (tree tree))
(unless (null? tree)
(match tree
[(Coverage name w c w/c chlds)
(printf "| ~a | ~a | ~a | ~a |~%"
(~a (string-append (make-string depth #\space) name) #:width mdl)
(~a/right 3 w) (~a/decimal c 2) (~a/decimal w/c 5))
(for ((c chlds)) (inr (add1 depth) c))]))))
;; ---------------------------------------------------------------------------------------------------
(module+ main
;; data/functional-coverage.txt contains a verbatim copy of
;; the table in the task's description
(for-each
(compose print-coverage-tree find-wght-cvrg)
(build-hierarchies (report->indent.c/e-list (file->string "data/functional-coverage.txt")))))

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Internal server error - Forgejo: Beyond coding. We Forge.

500

Internal server error

Forgejo version: 11.0.14+gitea-1.22.0

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sub walktree ($data) {
my (@parts, $cnt);
while ($data ~~ m:nth(++$cnt)/$<head>=[(\s*) \N+\n ] # split off one level as 'head' (or terminal 'leaf')
$<body>=[[$0 \s+ \N+\n]*]/ ) { # next sub-level is 'body' (defined by extra depth of indentation)
my ($head, $body) = ($<head>, $<body>);
$head ~~ /'|' $<weight>=[\S*] \s* '|' $<coverage>=[\S*]/; # save values of weight and coverage (if any) for later
my ($w, $wsum) = (0, 0);
$head ~= .[0],
$w += .[1],
$wsum += .[1] * .[2]
for walktree $body;
my $weight = (~$<weight> or 1).fmt('%-8s');
my $coverage = $w == 0
?? (~$<coverage> or 0).fmt('%-10s')
!! ($wsum/$w) .fmt('%-10.2g');
@parts.push: [$head.subst(/'|' \N+/, "|$weight|$coverage|"), $weight, $coverage ];
}
return @parts;
}
(say .[0] for walktree $_) given