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# Instructions append | ||
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For this exercise, scalene triangles are instead defined as those where only two sides are equal. Equilateral and isosceles triangles are still defined as above. |
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# Instructions | ||
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Determine if a triangle is equilateral, isosceles, or scalene. | ||
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An _equilateral_ triangle has all three sides the same length. | ||
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An _isosceles_ triangle has at least two sides the same length. | ||
(It is sometimes specified as having exactly two sides the same length, but for the purposes of this exercise we'll say at least two.) | ||
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A _scalene_ triangle has all sides of different lengths. | ||
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## Note | ||
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For a shape to be a triangle at all, all sides have to be of length > 0, and the sum of the lengths of any two sides must be greater than or equal to the length of the third side. | ||
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In equations: | ||
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Let `a`, `b`, and `c` be sides of the triangle. | ||
Then all three of the following expressions must be true: | ||
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```text | ||
a + b ≥ c | ||
b + c ≥ a | ||
a + c ≥ b | ||
``` | ||
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See [Triangle Inequality][triangle-inequality] | ||
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[triangle-inequality]: https://en.wikipedia.org/wiki/Triangle_inequality |
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## -*- conf -*- | ||
.rebar3 | ||
_build/ | ||
ebin/ | ||
erl_crash.dump | ||
rebar3.crashdump | ||
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tmp | ||
bin/configlet | ||
bin/configlet.exe | ||
CHECKLIST |
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{ | ||
"authors": [ | ||
"BNAndras" | ||
], | ||
"files": { | ||
"solution": [ | ||
"src/triangle.lfe" | ||
], | ||
"test": [ | ||
"test/triangle-tests.lfe" | ||
], | ||
"example": [ | ||
".meta/example.lfe" | ||
] | ||
}, | ||
"blurb": "Determine if a triangle is equilateral, isosceles, or scalene.", | ||
"source": "The Ruby Koans triangle project, parts 1 & 2", | ||
"source_url": "https://web.archive.org/web/20220831105330/http://rubykoans.com" | ||
} |
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(defmodule triangle | ||
(export (kind 3))) | ||
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(defun kind | ||
((A B C) (when (and (=< A 0) | ||
(=< B 0) | ||
(=< C 0))) | ||
'false) | ||
((A B C) (when (or (>= C (+ A B)) | ||
(>= B (+ A C)) | ||
(>= A (+ B C)))) | ||
'false) | ||
((A A A) | ||
'equilateral) | ||
((A A _) | ||
'isosceles) | ||
((A _ A) | ||
'isosceles) | ||
((_ A A) | ||
'isosceles) | ||
((_ _ _) | ||
'scalene)) |
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# This is an auto-generated file. | ||
# | ||
# Regenerating this file via `configlet sync` will: | ||
# - Recreate every `description` key/value pair | ||
# - Recreate every `reimplements` key/value pair, where they exist in problem-specifications | ||
# - Remove any `include = true` key/value pair (an omitted `include` key implies inclusion) | ||
# - Preserve any other key/value pair | ||
# | ||
# As user-added comments (using the # character) will be removed when this file | ||
# is regenerated, comments can be added via a `comment` key. | ||
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[8b2c43ac-7257-43f9-b552-7631a91988af] | ||
description = "equilateral triangle -> all sides are equal" | ||
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[33eb6f87-0498-4ccf-9573-7f8c3ce92b7b] | ||
description = "equilateral triangle -> any side is unequal" | ||
include = false | ||
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[c6585b7d-a8c0-4ad8-8a34-e21d36f7ad87] | ||
description = "equilateral triangle -> no sides are equal" | ||
include = false | ||
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[16e8ceb0-eadb-46d1-b892-c50327479251] | ||
description = "equilateral triangle -> all zero sides is not a triangle" | ||
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[3022f537-b8e5-4cc1-8f12-fd775827a00c] | ||
description = "equilateral triangle -> sides may be floats" | ||
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[cbc612dc-d75a-4c1c-87fc-e2d5edd70b71] | ||
description = "isosceles triangle -> last two sides are equal" | ||
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[e388ce93-f25e-4daf-b977-4b7ede992217] | ||
description = "isosceles triangle -> first two sides are equal" | ||
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[d2080b79-4523-4c3f-9d42-2da6e81ab30f] | ||
description = "isosceles triangle -> first and last sides are equal" | ||
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[8d71e185-2bd7-4841-b7e1-71689a5491d8] | ||
description = "isosceles triangle -> equilateral triangles are also isosceles" | ||
include = false | ||
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[840ed5f8-366f-43c5-ac69-8f05e6f10bbb] | ||
description = "isosceles triangle -> no sides are equal" | ||
include = false | ||
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[2eba0cfb-6c65-4c40-8146-30b608905eae] | ||
description = "isosceles triangle -> first triangle inequality violation" | ||
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[278469cb-ac6b-41f0-81d4-66d9b828f8ac] | ||
description = "isosceles triangle -> second triangle inequality violation" | ||
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[90efb0c7-72bb-4514-b320-3a3892e278ff] | ||
description = "isosceles triangle -> third triangle inequality violation" | ||
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[adb4ee20-532f-43dc-8d31-e9271b7ef2bc] | ||
description = "isosceles triangle -> sides may be floats" | ||
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[e8b5f09c-ec2e-47c1-abec-f35095733afb] | ||
description = "scalene triangle -> no sides are equal" | ||
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[2510001f-b44d-4d18-9872-2303e7977dc1] | ||
description = "scalene triangle -> all sides are equal" | ||
include = false | ||
|
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[c6e15a92-90d9-4fb3-90a2-eef64f8d3e1e] | ||
description = "scalene triangle -> first and second sides are equal" | ||
include = false | ||
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[3da23a91-a166-419a-9abf-baf4868fd985] | ||
description = "scalene triangle -> first and third sides are equal" | ||
include = false | ||
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[b6a75d98-1fef-4c42-8e9a-9db854ba0a4d] | ||
description = "scalene triangle -> second and third sides are equal" | ||
include = false | ||
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[70ad5154-0033-48b7-af2c-b8d739cd9fdc] | ||
description = "scalene triangle -> may not violate triangle inequality" | ||
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[26d9d59d-f8f1-40d3-ad58-ae4d54123d7d] | ||
description = "scalene triangle -> sides may be floats" |
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ERL := $(shell which erl) | ||
REBAR3 := $(shell which rebar3) | ||
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null := | ||
space := $(null) # | ||
comma := , | ||
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ifeq ($(ERL),) | ||
$(error Can't find Erlang executable 'erl') | ||
else ifeq ($(REBAR3),) | ||
$(error Can't find rebar3) | ||
endif | ||
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compile: ; $(REBAR3) compile | ||
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clean: ; $(REBAR3) clean | ||
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.PHONY: test | ||
test: | ||
$(REBAR3) eunit \ | ||
-m $(subst $(space),$(comma),$(basename $(notdir $(wildcard test/*.lfe)))) |
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{plugins, [{rebar3_lfe, "0.4.3"}]}. | ||
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{provider_hooks, [{post, [{compile, {lfe, compile}}]}]}. | ||
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{deps, [{lfe, "2.1.1"}]}. | ||
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{profiles, | ||
[{test, | ||
[{eunit_compile_opts, [{src_dirs, ["src", "test"]}]}, | ||
{deps, | ||
[{ltest, "0.13.3"}]}]}]}. |
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{"1.2.0", | ||
[{<<"lfe">>,{pkg,<<"lfe">>,<<"2.1.1">>},0}]}. | ||
[ | ||
{pkg_hash,[ | ||
{<<"lfe">>, <<"4A888B26172D198DC7A5AFEB897E8248AF7D56E1638D9C8249AAF933AE811B96">>}]}, | ||
{pkg_hash_ext,[ | ||
{<<"lfe">>, <<"C484D3B655D40DED58BC41B17B22F173711C681BF36063A234A9BAA9506947E1">>}]} | ||
]. |
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%% -*- erlang -*- | ||
{application, 'triangle', | ||
[{description, ""}, | ||
{vsn, "0.0.1"}, | ||
{modules, | ||
['triangle']}, | ||
{registered, []}, | ||
{applications, | ||
[kernel, stdlib]}, | ||
{included_applications, []}, | ||
{env, []}]}. |
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(defmodule triangle | ||
(export (kind 3))) | ||
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; Please implement the kind function. |
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(defmodule triangle-tests | ||
(behaviour ltest-unit) | ||
(export all)) | ||
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(include-lib "ltest/include/ltest-macros.lfe") | ||
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(deftest equilateral-triangle-all-sides-are-equal | ||
(is-equal (triangle:kind 2 2 2) 'equilateral)) | ||
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(deftest equilateral-triangle-all-zero-sides-is-not-a-triangle | ||
(is-not (triangle:kind 0 0 0))) | ||
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(deftest equilateral-triangle-sides-may-be-floats | ||
(is-equal (triangle:kind 0.5 0.5 0.5) 'equilateral)) | ||
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(deftest isosceles-triangle-last-two-sides-are-equal | ||
(is-equal (triangle:kind 3 4 4) 'isosceles)) | ||
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(deftest isosceles-triangle-first-two-sides-are-equal | ||
(is-equal (triangle:kind 4 4 3) 'isosceles)) | ||
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(deftest isosceles-triangle-first-and-last-sides-are-equal | ||
(is-equal (triangle:kind 4 3 4) 'isosceles)) | ||
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(deftest isosceles-first-triangle-inequality | ||
(is-not (triangle:kind 1 2 3))) | ||
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(deftest isosceles-second-triangle-inequality | ||
(is-not (triangle:kind 1 3 1))) | ||
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(deftest isosceles-third-triangle-inequality | ||
(is-not (triangle:kind 3 1 1))) | ||
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(deftest isosceles-may-be-floats | ||
(is-equal (triangle:kind 0.5 0.4 0.5) 'isosceles)) | ||
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(deftest scalene-no-sides-are-equal | ||
(is-equal (triangle:kind 5 4 6) 'scalene)) | ||
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(deftest scalene-may-not-violate-triangle-inequality | ||
(is-not (triangle:kind 7 3 2))) | ||
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(deftest scalene-may-be-floats | ||
(is-equal (triangle:kind 0.5 0.4 0.6) 'scalene)) |