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10 changes: 10 additions & 0 deletions config.json
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Expand Up @@ -799,6 +799,16 @@
],
"difficulty": 4
},
{
"slug": "prism",
"name": "Prism",
"uuid": "1fca8759-0236-493c-a4ef-2807cb33fd2b",
"practices": [],
"prerequisites": [
"lists"
],
"difficulty": 4
},
{
"slug": "proverb",
"name": "Proverb",
Expand Down
38 changes: 38 additions & 0 deletions exercises/practice/prism/.docs/instructions.md
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# Instructions

Before activating the laser array, you must predict the exact order in which crystals will be hit, identified by their sample IDs.

## Example Test Case

Consider this crystal array configuration:

```json
{
"start": { "x": 0, "y": 0, "angle": 0 },
"prisms": [
{ "id": 1, "x": 10, "y": 10, "angle": -90 },
{ "id": 2, "x": 10, "y": 0, "angle": 90 },
{ "id": 3, "x": 30, "y": 10, "angle": 45 },
{ "id": 4, "x": 20, "y": 0, "angle": 0 }
]
}
```

## What's Happening

The laser starts at the origin `(0, 0)` and fires horizontally to the right at angle 0°.
Here's the step-by-step beam path:

**Step 1**: The beam travels along the x-axis (y = 0) and first encounters **Crystal #2** at position `(10, 0)`.
This crystal has a refraction angle of 90°, which means it bends the beam perpendicular to its current path.
The beam, originally traveling at 0°, is now redirected to 90° (straight up).

**Step 2**: The beam now travels vertically upward from position `(10, 0)` and strikes **Crystal #1** at position `(10, 10)`.
This crystal has a refraction angle of -90°, bending the beam by -90° relative to its current direction.
The beam was traveling at 90°, so after refraction it's now at 0° (90° + (-90°) = 0°), traveling horizontally to the right again.

**Step 3**: From position `(10, 10)`, the beam travels horizontally and encounters **Crystal #3** at position `(30, 10)`.
This crystal refracts the beam by 45°, changing its direction to 45°.
The beam continues into empty space beyond the array.

!["A graph showing the path of a laser beam refracted through three prisms."](https://assets.exercism.org/images/exercises/prism/laser_path-light.svg)
5 changes: 5 additions & 0 deletions exercises/practice/prism/.docs/introduction.md
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# Introduction

You're a researcher at **PRISM** (Precariously Redirected Illumination Safety Management), working with a precision laser calibration system that tests experimental crystal prisms.
These crystals are being developed for next-generation optical computers, and each one has unique refractive properties based on its molecular structure.
The lab's laser system can damage crystals if they receive unexpected illumination, so precise path prediction is critical.
19 changes: 19 additions & 0 deletions exercises/practice/prism/.meta/config.json
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{
"authors": [
"kahgoh"
],
"files": {
"solution": [
"src/main/java/Prism.java"
],
"test": [
"src/test/java/PrismTest.java"
],
"example": [
".meta/src/reference/java/Prism.java"
]
},
"blurb": "Calculate the path of a laser through refractive prisms.",
"source": "FraSanga",
"source_url": "https://github.com/exercism/problem-specifications/pull/2625"
}
88 changes: 88 additions & 0 deletions exercises/practice/prism/.meta/src/reference/java/Prism.java
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import java.util.*;
import java.util.function.Predicate;

public class Prism {

public record LaserInfo(double x, double y, double angle, Integer prismId) {
public LaserInfo(double x, double y, double angle) {
this(x, y, angle, null);
}
}

public record PrismInfo(int id, double x, double y, double angle) {
}

private static final int DECIMAL_PLACES = 3;

private static final double ROUND_FACTOR = Math.pow(10, DECIMAL_PLACES);

public static List<Integer> findSequence(LaserInfo laser, List<PrismInfo> prisms) {
LaserInfo last = laser;
Optional<PrismInfo> lastPrism = Optional.empty();
List<Integer> sequence = new ArrayList<>();

do {
lastPrism = prisms.stream().filter(new TouchesPrism(last)).min(new CompareDistance(last));
if (lastPrism.isPresent()) {
PrismInfo nextPrism = lastPrism.get();
sequence.add(nextPrism.id);
last = new LaserInfo(nextPrism.x, nextPrism.y,
normalizeDegrees(nextPrism.angle + last.angle), nextPrism.id);
}
} while (lastPrism.isPresent());
return sequence;
}

private static double normalizeDegrees(double degrees) {
if (degrees < 0) {
return (degrees % 360) + 360;
}
return degrees % 360;
}

private static class CompareDistance implements Comparator<PrismInfo> {
private final LaserInfo laser;

public CompareDistance(LaserInfo laser) {
this.laser = laser;
}

@Override
public int compare(PrismInfo o1, PrismInfo o2) {
final double d1 = Math.hypot(o1.x - laser.x, o1.y - laser.y);
final double d2 = Math.hypot(o2.x - laser.x, o2.y - laser.y);
return Double.compare(d1, d2);
}
}

private static class TouchesPrism implements Predicate<PrismInfo> {
private final LaserInfo laser;
private final double sinAngle;
private final double cosAngle;

public TouchesPrism(LaserInfo laser) {
this.laser = laser;

double angleRadians = Math.toRadians(laser.angle);
this.sinAngle = Math.sin(angleRadians);
this.cosAngle = Math.cos(angleRadians);
}

@Override
public boolean test(PrismInfo prism) {
if (laser.prismId != null && laser.prismId == prism.id) {
return false;
}

double dx = prism.x - laser.x;
double dy = prism.y - laser.y;
double hyp = Math.hypot(dx, dy);

return isClose(hyp * cosAngle, dx) && isClose(hyp * sinAngle, dy);
}
}

private static boolean isClose(double a, double b) {
return Math.abs(Math.round(a * ROUND_FACTOR - b * ROUND_FACTOR)) <= 1;
}
}
52 changes: 52 additions & 0 deletions exercises/practice/prism/.meta/tests.toml
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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.

[ec65d3b3-f7bf-4015-8156-0609c141c4c4]
description = "zero prisms"

[ec0ca17c-0c5f-44fb-89ba-b76395bdaf1c]
description = "one prism one hit"

[0db955f2-0a27-4c82-ba67-197bd6202069]
description = "one prism zero hits"

[8d92485b-ebc0-4ee9-9b88-cdddb16b52da]
description = "going up zero hits"

[78295b3c-7438-492d-8010-9c63f5c223d7]
description = "going down zero hits"

[acc723ea-597b-4a50-8d1b-b980fe867d4c]
description = "going left zero hits"

[3f19b9df-9eaa-4f18-a2db-76132f466d17]
description = "negative angle"

[96dacffb-d821-4cdf-aed8-f152ce063195]
description = "large angle"

[513a7caa-957f-4c5d-9820-076842de113c]
description = "upward refraction two hits"

[d452b7c7-9761-4ea9-81a9-2de1d73eb9ef]
description = "downward refraction two hits"

[be1a2167-bf4c-4834-acc9-e4d68e1a0203]
description = "same prism twice"

[df5a60dd-7c7d-4937-ac4f-c832dae79e2e]
description = "simple path"

[8d9a3cc8-e846-4a3b-a137-4bfc4aa70bd1]
description = "multiple prisms floating point precision"

[e077fc91-4e4a-46b3-a0f5-0ba00321da56]
description = "complex path with multiple prisms floating point precision"
25 changes: 25 additions & 0 deletions exercises/practice/prism/build.gradle
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plugins {
id "java"
}

repositories {
mavenCentral()
}

dependencies {
testImplementation platform("org.junit:junit-bom:5.10.0")
testImplementation "org.junit.jupiter:junit-jupiter"
testImplementation "org.assertj:assertj-core:3.25.1"

testRuntimeOnly "org.junit.platform:junit-platform-launcher"
}

test {
useJUnitPlatform()

testLogging {
exceptionFormat = "full"
showStandardStreams = true
events = ["passed", "failed", "skipped"]
}
}
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distributionBase=GRADLE_USER_HOME
distributionPath=wrapper/dists
distributionUrl=https\://services.gradle.org/distributions/gradle-9.3.1-bin.zip
validateDistributionUrl=true
zipStoreBase=GRADLE_USER_HOME
zipStorePath=wrapper/dists
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