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Add prism (#631)
* Add `prism` * lowercase tested property
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config.json

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"math"
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]
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},
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{
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"slug": "prism",
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"name": "Prism",
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"uuid": "bd71935a-a63a-4be3-b0ec-982240515b59",
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"practices": [],
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"prerequisites": [],
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"difficulty": 4
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},
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{
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"slug": "robot-name",
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"name": "Robot Name",

exercises/practice/prism/.busted

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return {
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default = {
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ROOT = { '.' }
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}
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}
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# Instructions
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Before activating the laser array, you must predict the exact order in which crystals will be hit, identified by their sample IDs.
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## Example Test Case
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Consider this crystal array configuration:
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```json
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{
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"start": { "x": 0, "y": 0, "angle": 0 },
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"prisms": [
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{ "id": 3, "x": 30, "y": 10, "angle": 45 },
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{ "id": 1, "x": 10, "y": 10, "angle": -90 },
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{ "id": 2, "x": 10, "y": 0, "angle": 90 },
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{ "id": 4, "x": 20, "y": 0, "angle": 0 }
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]
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}
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```
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## What's Happening
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The laser starts at the origin `(0, 0)` and fires horizontally to the right at angle 0°.
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Here's the step-by-step beam path:
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**Step 1**: The beam travels along the x-axis (y = 0) and first encounters **Crystal #2** at position `(10, 0)`.
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This crystal has a refraction angle of 90°, which means it bends the beam perpendicular to its current path.
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The beam, originally traveling at 0°, is now redirected to 90° (straight up).
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**Step 2**: The beam now travels vertically upward from position `(10, 0)` and strikes **Crystal #1** at position `(10, 10)`.
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This crystal has a refraction angle of -90°, bending the beam by -90° relative to its current direction.
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The beam was traveling at 90°, so after refraction it's now at 0° (90° + (-90°) = 0°), traveling horizontally to the right again.
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**Step 3**: From position `(10, 10)`, the beam travels horizontally and encounters **Crystal #3** at position `(30, 10)`.
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This crystal refracts the beam by 45°, changing its direction to 45°.
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The beam continues into empty space beyond the array.
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# Introduction
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You're a researcher at **PRISM** (Precariously Redirected Illumination Safety Management), working with a precision laser calibration system that tests experimental crystal prisms.
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These crystals are being developed for next-generation optical computers, and each one has unique refractive properties based on its molecular structure.
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The lab's laser system can damage crystals if they receive unexpected illumination, so precise path prediction is critical.
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{
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"authors": [
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"BNAndras"
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],
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"files": {
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"solution": [
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"prism.lua"
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],
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"test": [
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"prism_spec.lua"
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],
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"example": [
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".meta/example.lua"
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]
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},
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"blurb": "Calculate the path of a laser through reflective prisms.",
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"source": "FraSanga",
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"source_url": "https://github.com/exercism/problem-specifications/pull/2625"
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}
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local function find_sequence(start, prisms)
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local x, y, angle = start.x, start.y, start.angle
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local sequence = {}
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while true do
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local rad = angle * math.pi / 180
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local dirX = math.cos(rad)
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local dirY = math.sin(rad)
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local nearest = nil
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local nearestDist = math.huge
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for _, prism in ipairs(prisms) do
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local dx = prism.x - x
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local dy = prism.y - y
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local dist = dx * dirX + dy * dirY
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-- ignore prisms behind or at the start
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if dist > 1e-6 then
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local crossSq = (dx - dist * dirX) ^ 2 + (dy - dist * dirY) ^ 2
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-- Bail if outside relative tolerance (more wiggle room for further prisms)
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if crossSq < 1e-6 * math.max(1, dist * dist) then
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if dist < nearestDist then
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nearestDist = dist
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nearest = prism
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end
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end
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end
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end
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if not nearest then
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break
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end
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table.insert(sequence, nearest.id)
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x = nearest.x
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y = nearest.y
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angle = (angle + nearest.angle) % 360
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end
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return sequence
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end
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return { find_sequence = find_sequence }
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return {
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module_name = 'prism',
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generate_test = function(case)
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local lines = {}
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local function snake_case(str)
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local s = str:gsub('%u', function(c)
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return '_' .. c:lower()
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end)
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if s:sub(1, 1) == '_' then
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s = s:sub(2)
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end
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return s
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end
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table.insert(lines,
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string.format("local start = { x = %s, y = %s, angle = %s }", case.input.start.x, case.input.start.y,
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case.input.start.angle))
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if #case.input.prisms == 0 then
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table.insert(lines, "local prisms = {}")
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else
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table.insert(lines, "local prisms = {")
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for _, prism in ipairs(case.input.prisms) do
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table.insert(lines, string.format(" { id = %s, x = %s, y = %s, angle = %s },", prism.id, prism.x, prism.y,
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prism.angle))
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end
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table.insert(lines, "}")
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end
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local expected = ""
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if #case.expected.sequence == 0 then
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expected = "{}"
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else
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expected = string.format("{ %s }", table.concat(case.expected.sequence, ", "))
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end
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table.insert(lines, string.format("local expected = %s", expected))
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table.insert(lines, string.format("local result = prism.%s(start, prisms)", snake_case(case.property)))
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table.insert(lines, "assert.are.same(expected, result)")
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return table.concat(lines, "\n")
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end
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}
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# This is an auto-generated file.
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#
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# Regenerating this file via `configlet sync` will:
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# - Recreate every `description` key/value pair
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# - Recreate every `reimplements` key/value pair, where they exist in problem-specifications
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# - Remove any `include = true` key/value pair (an omitted `include` key implies inclusion)
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# - Preserve any other key/value pair
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#
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# As user-added comments (using the # character) will be removed when this file
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# is regenerated, comments can be added via a `comment` key.
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[ec65d3b3-f7bf-4015-8156-0609c141c4c4]
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description = "zero prisms"
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[ec0ca17c-0c5f-44fb-89ba-b76395bdaf1c]
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description = "one prism one hit"
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[0db955f2-0a27-4c82-ba67-197bd6202069]
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description = "one prism zero hits"
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[8d92485b-ebc0-4ee9-9b88-cdddb16b52da]
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description = "going up zero hits"
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[78295b3c-7438-492d-8010-9c63f5c223d7]
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description = "going down zero hits"
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[acc723ea-597b-4a50-8d1b-b980fe867d4c]
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description = "going left zero hits"
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[3f19b9df-9eaa-4f18-a2db-76132f466d17]
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description = "negative angle"
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[96dacffb-d821-4cdf-aed8-f152ce063195]
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description = "large angle"
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[513a7caa-957f-4c5d-9820-076842de113c]
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description = "upward refraction two hits"
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[d452b7c7-9761-4ea9-81a9-2de1d73eb9ef]
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description = "downward refraction two hits"
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[be1a2167-bf4c-4834-acc9-e4d68e1a0203]
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description = "same prism twice"
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[df5a60dd-7c7d-4937-ac4f-c832dae79e2e]
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description = "simple path"
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[8d9a3cc8-e846-4a3b-a137-4bfc4aa70bd1]
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description = "multiple prisms floating point precision"
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[e077fc91-4e4a-46b3-a0f5-0ba00321da56]
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description = "complex path with multiple prisms floating point precision"

exercises/practice/prism/prism.lua

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local function find_sequence(start, prisms)
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end
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return { find_sequence = find_sequence }

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