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# Bowling
Score a bowling game.
Bowling is a game where players roll a heavy ball to knock down pins
arranged in a triangle. Write code to keep track of the score
of a game of bowling.
## Scoring Bowling
The game consists of 10 frames. A frame is composed of one or two ball
throws with 10 pins standing at frame initialization. There are three
cases for the tabulation of a frame.
* An open frame is where a score of less than 10 is recorded for the
frame. In this case the score for the frame is the number of pins
knocked down.
* A spare is where all ten pins are knocked down by the second
throw. The total value of a spare is 10 plus the number of pins
knocked down in their next throw.
* A strike is where all ten pins are knocked down by the first
throw. The total value of a strike is 10 plus the number of pins
knocked down in the next two throws. If a strike is immediately
followed by a second strike, then the value of the first strike
cannot be determined until the ball is thrown one more time.
Here is a three frame example:
| Frame 1 | Frame 2 | Frame 3 |
| :-------------: |:-------------:| :---------------------:|
| X (strike) | 5/ (spare) | 9 0 (open frame) |
Frame 1 is (10 + 5 + 5) = 20
Frame 2 is (5 + 5 + 9) = 19
Frame 3 is (9 + 0) = 9
This means the current running total is 48.
The tenth frame in the game is a special case. If someone throws a
strike or a spare then they get a fill ball. Fill balls exist to
calculate the total of the 10th frame. Scoring a strike or spare on
the fill ball does not give the player more fill balls. The total
value of the 10th frame is the total number of pins knocked down.
For a tenth frame of X1/ (strike and a spare), the total value is 20.
For a tenth frame of XXX (three strikes), the total value is 30.
## Requirements
Write code to keep track of the score of a game of bowling. It should
support two operations:
* `roll(pins : int)` is called each time the player rolls a ball. The
argument is the number of pins knocked down.
* `score() : int` is called only at the very end of the game. It
returns the total score for that game.
Run the tests with:
```bash
bats bowling_test.sh
```
After the first test(s) pass, continue by commenting out or removing the
`[[ $BATS_RUN_SKIPPED == true ]] || skip`
annotations prepending other tests.
To run all tests, including the ones with `skip` annotations, run:
```bash
BATS_RUN_SKIPPED=true bats bowling_test.sh
```
## Source
The Bowling Game Kata at but UncleBob [http://butunclebob.com/ArticleS.UncleBob.TheBowlingGameKata](http://butunclebob.com/ArticleS.UncleBob.TheBowlingGameKata)
## External utilities
`Bash` is a language to write "scripts" -- programs that can call
external tools, such as
[`sed`](https://www.gnu.org/software/sed/),
[`awk`](https://www.gnu.org/software/gawk/),
[`date`](https://www.gnu.org/software/coreutils/manual/html_node/date-invocation.html)
and even programs written in other programming languages,
like [`Python`](https://www.python.org/).
This track does not restrict the usage of these utilities, and as long
as your solution is portable between systems and does not require
installation of third party applications, feel free to use them to solve
the exercise.
For an extra challenge, if you would like to have a better understanding
of the language, try to re-implement the solution in pure `Bash`,
without using any external tools. Note that there are some types of
problems that bash cannot solve, such as performing floating point
arithmetic and manipulating dates: for those, you must call out to an
external tool.
## Submitting Incomplete Solutions
It's possible to submit an incomplete solution so you can see how others
have completed the exercise.

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#!/usr/bin/env bash
#
# V1: initial version
shopt -s extglob
# set to mask to enable logs. 0: none, 255: all
(( debug=2#00000000 ))
(( debug=2#00001111 ))
# $1: log level (mask), then strings to display.
debug () {
(( debug & $1 )) && shift && echo Line ${BASH_LINENO[0]}: "${@}" >&2
}
die () {
echo "${@}" >&2
exit 1
}
usage() {
die "usage: bowling.sh r1-20 [r21 [r22]]"
}
# pincount > 10. $1: frame
highroll() {
die Frame "Frame $1: Pin count exceeds pins on the lane."
}
# pincount > 10. $1: frame
negativeroll() {
die Frame "Frame $1: Negative roll is invalid."
}
# args test: 10 rolls mandatory
#(($# < 20)) && usage
rolls=($@)
debug 1 rolls=${rolls[@]}
((score = 0)) # total score
((tempscore = 0)) # tmp score (for spare/strike)
declare -a frames # frames scores
declare -a opened # spare:2, strike:1
((frame=-1)) # current frame
((curroll=1)) # roll in frame: 1:1st, 2:2nd
((i=0))
for ((roll=0; roll<$#; ++roll)); do
debug 2 loop roll="$roll"
(( ! roll % 2 && frame++ ))
exit 0
(( score=${rolls[$i]} ))
#(( score < 0 )) && || score > 10)) && echo 1
#if ((!roll % 2)); then # first roll in frame
((framescore=0)) # current frame score
for j in 0 1; do
(( roll = ${rolls[$i]} ))
((roll < 0)) && die Frame $((curframe+1)): Negative roll is invalid.
(( framescore += roll ))
((framescore == 10)) && ((opened[$curframe] = j+1))
(( i++ ))
done
debug 2 curframe=$curframe score=$framescore
#if ((roll))
((framescore > 10)) && wrongroll $curframe $curroll $framescore
frame[$curframe]=$framescore
((curroll = -curroll))
done
# emacs/vim settings.
# Local Variables:
# sh-basic-offset: 4
# indent-tabs-mode: nil
# comment-column: 50
# fill-column: 80
# End:
# vim: set tabstop=4 expandtab: