diff --git a/Dockerfile b/Dockerfile new file mode 100644 index 0000000000000000000000000000000000000000..86cddb5ae35dd6a4e4b7f08081940e3529b192b7 --- /dev/null +++ b/Dockerfile @@ -0,0 +1,26 @@ +# Use Node 22 as the base image +FROM node:22-alpine + +# Set the working directory inside the container +WORKDIR /app + +# Copy package.json and package-lock.json (if you have one) +COPY package*.json ./ + +# Install dependencies +RUN npm install + +# Copy the rest of the application code +COPY . . + +# Expose the port your React app runs on +EXPOSE 7860 + +# Change ownership of /app to the node user +RUN chown -R node:node /app + +# Switch to the node user +USER node + +# Command to run the application +CMD ["npm", "run", "dev"] \ No newline at end of file diff --git a/apphosting.yaml b/apphosting.yaml new file mode 100644 index 0000000000000000000000000000000000000000..a55af7b17b5de7a862199a1ce104aa8bf7144b46 --- /dev/null +++ b/apphosting.yaml @@ -0,0 +1,7 @@ +# Settings to manage and configure a Firebase App Hosting backend. +# https://firebase.google.com/docs/app-hosting/configure + +runConfig: + # Increase this value if you'd like to automatically spin up + # more instances in response to increased traffic. + maxInstances: 1 diff --git a/components.json b/components.json new file mode 100644 index 0000000000000000000000000000000000000000..d710b4962fea5ca5d29be6dd542f4de1d6a903d9 --- /dev/null +++ b/components.json @@ -0,0 +1,21 @@ +{ + "$schema": "https://ui.shadcn.com/schema.json", + "style": "default", + "rsc": true, + "tsx": true, + "tailwind": { + "config": "tailwind.config.ts", + "css": "src/app/globals.css", + "baseColor": "neutral", + "cssVariables": true, + "prefix": "" + }, + "aliases": { + "components": "@/components", + "utils": "@/lib/utils", + "ui": "@/components/ui", + "lib": "@/lib", + "hooks": "@/hooks" + }, + "iconLibrary": "lucide" +} \ No newline at end of file diff --git a/docs/blueprint.md b/docs/blueprint.md new file mode 100644 index 0000000000000000000000000000000000000000..7f6691df6c7c3cc960d6cedb985dbeb7cc944181 --- /dev/null +++ b/docs/blueprint.md @@ -0,0 +1,19 @@ +# **App Name**: Lagrange Leap + +## Core Features: + +- Data Input: User input for data points (x, y) for interpolation. +- Specify Interpolation Point: Allows the user to define the point at which they wish to estimate a function's value using interpolation. +- Interpolation Calculation: Calculation of Lagrange interpolation polynomial and interpolated value. +- Result Display: Display the calculated interpolated value at the specified point. +- Polynomial Display: Displaying the Lagrange polynomial so the user can inspect the computation + +## Style Guidelines: + +- Primary color: Deep blue (#3F51B5) to convey a sense of mathematical precision and reliability. +- Background color: Light gray (#F0F2F5), offering a neutral backdrop that ensures readability and focuses user attention on the data and results. +- Accent color: Vibrant orange (#FF9800), drawing attention to important interactive elements and results. +- Body and headline font: 'Inter' sans-serif font, lending the interface a clean and modern feel for improved readability. Suitable for both headlines and body text. +- Simple, geometric icons to represent data points and functions. +- Clear, structured layout with distinct sections for input, calculation, and results. +- Subtle transitions for displaying results and highlighting interactions. \ No newline at end of file diff --git a/next-env.d.ts b/next-env.d.ts new file mode 100644 index 0000000000000000000000000000000000000000..1b3be0840f3f6a2bc663b53f4b17d05d2d924df6 --- /dev/null +++ b/next-env.d.ts @@ -0,0 +1,5 @@ +/// +/// + +// NOTE: This file should not be edited +// see https://nextjs.org/docs/app/api-reference/config/typescript for more information. diff --git a/next.config.ts b/next.config.ts new file mode 100644 index 0000000000000000000000000000000000000000..9d8de362bbe1cd2da3e71af087a3cdf789e718e1 --- /dev/null +++ b/next.config.ts @@ -0,0 +1,23 @@ +import type {NextConfig} from 'next'; + +const nextConfig: NextConfig = { + /* config options here */ + typescript: { + ignoreBuildErrors: true, + }, + eslint: { + ignoreDuringBuilds: true, + }, + images: { + remotePatterns: [ + { + protocol: 'https', + hostname: 'placehold.co', + port: '', + pathname: '/**', + }, + ], + }, +}; + +export default nextConfig; diff --git a/package-lock.json b/package-lock.json new file mode 100644 index 0000000000000000000000000000000000000000..da62c5329243ef8efd32258c1460de305f05e1ec --- /dev/null +++ b/package-lock.json @@ -0,0 +1,10162 @@ +{ + "name": "nextn", + "version": "0.1.0", + "lockfileVersion": 3, + "requires": true, + "packages": { + "": { + "name": "nextn", + "version": "0.1.0", + "dependencies": { + "@genkit-ai/googleai": "^1.8.0", + "@genkit-ai/next": "^1.8.0", + "@hookform/resolvers": "^4.1.3", + "@radix-ui/react-accordion": "^1.2.3", + "@radix-ui/react-alert-dialog": "^1.1.6", + "@radix-ui/react-avatar": "^1.1.3", + "@radix-ui/react-checkbox": "^1.1.4", + "@radix-ui/react-dialog": "^1.1.6", + "@radix-ui/react-dropdown-menu": "^2.1.6", + "@radix-ui/react-label": "^2.1.2", + 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} + }, + "node_modules/zod-to-json-schema": { + "version": "3.24.5", + "resolved": "https://registry.npmjs.org/zod-to-json-schema/-/zod-to-json-schema-3.24.5.tgz", + "integrity": "sha512-/AuWwMP+YqiPbsJx5D6TfgRTc4kTLjsh5SOcd4bLsfUg2RcEXrFMJl1DGgdHy2aCfsIA/cr/1JM0xcB2GZji8g==", + "license": "ISC", + "peerDependencies": { + "zod": "^3.24.1" + } + } + } +} diff --git a/package.json b/package.json new file mode 100644 index 0000000000000000000000000000000000000000..914649d4b222ba833e53c8b87c0f763cffdfcb97 --- /dev/null +++ b/package.json @@ -0,0 +1,65 @@ +{ + "name": "nextn", + "version": "0.1.0", + "private": true, + "scripts": { + "dev": "next dev --turbopack -p 9002", + "genkit:dev": "genkit start -- tsx src/ai/dev.ts", + "genkit:watch": "genkit start -- tsx --watch src/ai/dev.ts", + "build": "next build", + "start": "next start", + "lint": "next lint", + "typecheck": "tsc --noEmit" + }, + "dependencies": { + "@genkit-ai/googleai": "^1.8.0", + "@genkit-ai/next": "^1.8.0", + "@hookform/resolvers": "^4.1.3", + "@radix-ui/react-accordion": "^1.2.3", + "@radix-ui/react-alert-dialog": "^1.1.6", + "@radix-ui/react-avatar": "^1.1.3", + "@radix-ui/react-checkbox": "^1.1.4", + "@radix-ui/react-dialog": "^1.1.6", + "@radix-ui/react-dropdown-menu": "^2.1.6", + "@radix-ui/react-label": "^2.1.2", + "@radix-ui/react-menubar": "^1.1.6", + "@radix-ui/react-popover": "^1.1.6", + "@radix-ui/react-progress": "^1.1.2", + "@radix-ui/react-radio-group": "^1.2.3", + "@radix-ui/react-scroll-area": "^1.2.3", + "@radix-ui/react-select": "^2.1.6", + "@radix-ui/react-separator": "^1.1.2", + "@radix-ui/react-slider": "^1.2.3", + "@radix-ui/react-slot": "^1.1.2", + "@radix-ui/react-switch": "^1.1.3", + "@radix-ui/react-tabs": "^1.1.3", + "@radix-ui/react-toast": "^1.2.6", + "@radix-ui/react-tooltip": "^1.1.8", + "class-variance-authority": "^0.7.1", + "clsx": "^2.1.1", + "date-fns": "^3.6.0", + "dotenv": "^16.5.0", + "firebase": "^11.8.1", + "genkit": "^1.8.0", + "lucide-react": "^0.475.0", + "next": "15.3.3", + "patch-package": "^8.0.0", + "react": "^18.3.1", + "react-day-picker": "^8.10.1", + "react-dom": "^18.3.1", + "react-hook-form": "^7.54.2", + "recharts": "^2.15.1", + "tailwind-merge": "^3.0.1", + "tailwindcss-animate": "^1.0.7", + "zod": "^3.24.2" + }, + "devDependencies": { + "@types/node": "^20", + "@types/react": "^18", + "@types/react-dom": "^18", + "genkit-cli": "^1.8.0", + "postcss": "^8", + "tailwindcss": "^3.4.1", + "typescript": "^5" + } +} diff --git a/postcss.config.mjs b/postcss.config.mjs new file mode 100644 index 0000000000000000000000000000000000000000..1a69fd2a450afc3bf47e08b22c149190df0ffdb4 --- /dev/null +++ b/postcss.config.mjs @@ -0,0 +1,8 @@ +/** @type {import('postcss-load-config').Config} */ +const config = { + plugins: { + tailwindcss: {}, + }, +}; + +export default config; diff --git a/src/ai/dev.ts b/src/ai/dev.ts new file mode 100644 index 0000000000000000000000000000000000000000..51e556a0578e9c4b333b9ccbc31db856e0b10aff --- /dev/null +++ b/src/ai/dev.ts @@ -0,0 +1 @@ +// Flows will be imported for their side effects in this file. diff --git a/src/ai/genkit.ts b/src/ai/genkit.ts new file mode 100644 index 0000000000000000000000000000000000000000..cbf2594c61b52c9ecc244898faf647c3910772f9 --- /dev/null +++ b/src/ai/genkit.ts @@ -0,0 +1,7 @@ +import {genkit} from 'genkit'; +import {googleAI} from '@genkit-ai/googleai'; + +export const ai = genkit({ + plugins: [googleAI()], + model: 'googleai/gemini-2.0-flash', +}); diff --git a/src/app/actions.ts b/src/app/actions.ts new file mode 100644 index 0000000000000000000000000000000000000000..fcd7fcf6cd74d6320bf5ae37b46786e56c6bfde0 --- /dev/null +++ b/src/app/actions.ts @@ -0,0 +1,183 @@ + +"use server"; + +import type { DataPoint } from "@/lib/schemas"; + +export interface CalculationStep { + termIndex: number; + yValue: number; + basisNumeratorSymbolic: string; + basisDenominatorSymbolic: string; + basisDenominatorValue: number; + basisPolynomialSymbolic: string; + basisNumeratorAtXValues: string; + basisNumeratorAtXProduct: number; + basisPolynomialValueAtX: number; + termSymbolic: string; + termValueAtX: number; +} + +interface LagrangeResult { + interpolatedValue: number | null; + polynomialTermsDisplay: string[]; + calculationSteps: CalculationStep[]; + plotData?: Array<{ x: number; original?: number; interpolated?: number; target?: number }>; + error?: string; + interpolationPoint?: number; +} + +function evaluateLagrangePolynomialAtPoint(xEval: number, dataPoints: DataPoint[]): number { + let sum = 0; + const n = dataPoints.length; + if (n === 0) return NaN; // Should not happen with validation + + for (let j = 0; j < n; j++) { + let basisProduct = 1; + if (n === 1) { // If only one point, L_0(x) = 1, P(x) = y_0 + basisProduct = 1; + } else { + for (let k = 0; k < n; k++) { + if (j === k) continue; + if (dataPoints[j].x - dataPoints[k].x === 0) return NaN; // Avoid division by zero, though schema should prevent duplicate x + basisProduct *= (xEval - dataPoints[k].x) / (dataPoints[j].x - dataPoints[k].x); + } + } + sum += dataPoints[j].y * basisProduct; + } + return sum; +} + +export async function calculateLagrangeInterpolation( + dataPoints: DataPoint[], + interpolationX: number +): Promise { + if (dataPoints.length < 1) { // Allow 1 point for P(x)=y0 + return { interpolatedValue: null, polynomialTermsDisplay: [], calculationSteps:[], error: "At least one data point is required." }; + } + + const xValues = dataPoints.map(p => p.x); + if (new Set(xValues).size !== xValues.length) { + return { interpolatedValue: null, polynomialTermsDisplay: [], calculationSteps: [], error: "All X values in data points must be unique." }; + } + + let lagrangeSum = 0; + const polynomialTermsDisplay: string[] = []; + const calculationSteps: CalculationStep[] = []; + const n = dataPoints.length; + + for (let j = 0; j < n; j++) { + const currentStep: Partial = { termIndex: j, yValue: dataPoints[j].y }; + + let basisNumeratorSym = ""; + let basisDenominatorSym = ""; + let basisDenominatorNum = 1; + + let basisNumeratorAtXEvalStrings: string[] = []; + let basisNumeratorAtXProd = 1; + + if (n === 1) { // P(x) = y_0, so L_0(x) = 1 + basisNumeratorSym = "1"; + basisDenominatorSym = "1"; + basisDenominatorNum = 1; + basisNumeratorAtXProd = 1; + basisNumeratorAtXEvalStrings.push("1"); + } else { + for (let k = 0; k < n; k++) { + if (j === k) continue; + basisNumeratorSym += `(x - ${dataPoints[k].x.toString()})`; + basisDenominatorSym += `(${dataPoints[j].x.toString()} - ${dataPoints[k].x.toString()})`; + basisDenominatorNum *= (dataPoints[j].x - dataPoints[k].x); + + basisNumeratorAtXEvalStrings.push(`(${interpolationX.toString()} - ${dataPoints[k].x.toString()})`); + basisNumeratorAtXProd *= (interpolationX - dataPoints[k].x); + } + } + + currentStep.basisNumeratorSymbolic = basisNumeratorSym || "1"; + currentStep.basisDenominatorSymbolic = basisDenominatorSym || "1"; // Denominator isn't really symbolic in L_j(x) display typically + + if (basisDenominatorNum === 0) { + return { interpolatedValue: null, polynomialTermsDisplay: [], calculationSteps: [], error: "Division by zero in basis polynomial. X values might be too close or identical." }; + } + currentStep.basisDenominatorValue = basisDenominatorNum; + + currentStep.basisPolynomialSymbolic = `(${currentStep.basisNumeratorSymbolic}) / ${currentStep.basisDenominatorValue.toFixed(6)}`; + + currentStep.basisNumeratorAtXValues = basisNumeratorAtXEvalStrings.join('*') || "1"; + currentStep.basisNumeratorAtXProduct = basisNumeratorAtXProd; + currentStep.basisPolynomialValueAtX = basisNumeratorAtXProd / basisDenominatorNum; + + const termCoefficientForDisplay = dataPoints[j].y / (n === 1 ? 1 : basisDenominatorNum); + let singleTermDisplay = `${dataPoints[j].y.toFixed(4)}`; + if (n > 1) { // Only add multiplier if more than one point + if (basisDenominatorNum !== 1 || basisNumeratorSym !== "1") { // avoid " * 1 / 1" + singleTermDisplay = `${termCoefficientForDisplay.toFixed(4)}`; + if (basisNumeratorSym && basisNumeratorSym !== "1") { + singleTermDisplay += ` * ${basisNumeratorSym}`; + } + } + } + polynomialTermsDisplay.push(singleTermDisplay); + + currentStep.termSymbolic = `${dataPoints[j].y.toFixed(4)} * ${currentStep.basisPolynomialSymbolic}`; + if (n === 1) currentStep.termSymbolic = `${dataPoints[j].y.toFixed(4)}`; // For y_0 + + currentStep.termValueAtX = dataPoints[j].y * currentStep.basisPolynomialValueAtX; + + calculationSteps.push(currentStep as CalculationStep); + lagrangeSum += currentStep.termValueAtX; + } + + if (isNaN(lagrangeSum)) { + return { interpolatedValue: null, polynomialTermsDisplay: [], calculationSteps, error: "Calculation resulted in NaN. Check input values." }; + } + + const plotData: Array<{ x: number; original?: number; interpolated?: number; target?: number }> = []; + if (dataPoints.length > 0) { + const xS = dataPoints.map(p => p.x); + const minX = Math.min(...xS); + const maxX = Math.max(...xS); + const range = maxX - minX; + + const plotPadding = range === 0 ? 1 : range * 0.2; // Ensure some padding for single point or narrow range + const plotStart = minX - plotPadding; + const plotEnd = maxX + plotPadding; + const numPlotPoints = 100; + + for (let i = 0; i <= numPlotPoints; i++) { + const currentX = plotStart + (i * (plotEnd - plotStart)) / numPlotPoints; + const interpolatedVal = evaluateLagrangePolynomialAtPoint(currentX, dataPoints); + if (!isNaN(interpolatedVal)) { + plotData.push({ x: currentX, interpolated: interpolatedVal }); + } + } + + dataPoints.forEach(dp => { + const existingPoint = plotData.find(p => Math.abs(p.x - dp.x) < 1e-9); // Check for float equality + if (existingPoint) { + existingPoint.original = dp.y; + } else { + plotData.push({ x: dp.x, original: dp.y, interpolated: evaluateLagrangePolynomialAtPoint(dp.x, dataPoints) }); + } + }); + + // Ensure the specific interpolationX point is included for the curve and target highlighting + const specificInterpolatedValue = evaluateLagrangePolynomialAtPoint(interpolationX, dataPoints); + if(!isNaN(specificInterpolatedValue)) { + const targetPointEntry = plotData.find(p => Math.abs(p.x - interpolationX) < 1e-9); + if (targetPointEntry) { + targetPointEntry.interpolated = specificInterpolatedValue; // Ensure curve passes through it + targetPointEntry.target = lagrangeSum; // lagrangeSum is P(interpolationX) + } else { + plotData.push({ x: interpolationX, interpolated: specificInterpolatedValue, target: lagrangeSum }); + } + } + + + plotData.sort((a, b) => a.x - b.x); + } + + return { interpolatedValue: lagrangeSum, polynomialTermsDisplay, calculationSteps, plotData, interpolationPoint: interpolationX }; +} + + \ No newline at end of file diff --git a/src/app/favicon.ico b/src/app/favicon.ico new file mode 100644 index 0000000000000000000000000000000000000000..9621e46d3413d55917e344b844a6605e8d9359ac Binary files /dev/null and b/src/app/favicon.ico differ diff --git a/src/app/globals.css b/src/app/globals.css new file mode 100644 index 0000000000000000000000000000000000000000..164fbbaab760274c287e825a1f7b4c745ce4ba8a --- /dev/null +++ b/src/app/globals.css @@ -0,0 +1,98 @@ + +@tailwind base; +@tailwind components; +@tailwind utilities; + +body { + font-family: 'Inter', sans-serif; +} + +@layer base { + :root { + --background: 218 27% 94.3%; /* Light Gray #F0F2F5 */ + --foreground: 220 10% 20%; /* Dark Gray for text */ + --card: 0 0% 100%; /* White */ + --card-foreground: 220 10% 20%; + --popover: 0 0% 100%; + --popover-foreground: 220 10% 20%; + --primary: 231 48% 48%; /* Deep Blue #3F51B5 */ + --primary-foreground: 0 0% 98%; /* White */ + --secondary: 218 25% 90%; /* Slightly darker than main bg */ + --secondary-foreground: 220 10% 20%; + --muted: 218 20% 92%; /* Lighter version of bg */ + --muted-foreground: 218 15% 60%; /* Lighter text */ + --accent: 36 100% 50%; /* Vibrant Orange #FF9800 */ + --accent-foreground: 220 10% 15%; /* Dark text on accent */ + --destructive: 0 84.2% 60.2%; + --destructive-foreground: 0 0% 98%; + --border: 218 11% 85.1%; /* Gray border */ + --input: 0 0% 100%; /* White for input background */ + --input-border: 218 11% 85.1%; /* Match border for input borders */ + --ring: 36 100% 50%; /* Accent color for focus rings */ + --chart-1: 12 76% 61%; + --chart-2: 173 58% 39%; + --chart-3: 197 37% 24%; + --chart-4: 43 74% 66%; + --chart-5: 27 87% 67%; + --radius: 0.5rem; + --sidebar-background: 218 27% 96%; /* Similar to main background or slightly adjusted */ + --sidebar-foreground: 231 48% 30%; /* Darker blue or primary text color */ + --sidebar-primary: 231 48% 48%; /* Primary color */ + --sidebar-primary-foreground: 0 0% 98%; /* White */ + --sidebar-accent: 36 100% 50%; /* Accent color */ + --sidebar-accent-foreground: 220 10% 15%; /* Dark text on accent */ + --sidebar-border: 218 11% 85.1%; /* Border */ + --sidebar-ring: 36 100% 50%; /* Accent for ring */ + } + .dark { + --background: 220 13% 18%; /* Dark Gray #262B33 */ + --foreground: 210 17% 82%; /* Light Gray #CAD0D8 */ + --card: 220 13% 22%; /* #303640 */ + --card-foreground: 210 17% 82%; + --popover: 220 13% 22%; + --popover-foreground: 210 17% 82%; + --primary: 231 48% 60%; /* Lighter Deep Blue */ + --primary-foreground: 0 0% 98%; + --secondary: 220 13% 25%; /* Darker shade for secondary elements */ + --secondary-foreground: 210 17% 82%; + --muted: 220 13% 22%; /* Similar to card */ + --muted-foreground: 210 15% 55%; /* Lighter muted text */ + --accent: 36 100% 55%; /* Brighter Vibrant Orange */ + --accent-foreground: 36 100% 10%; /* Very dark for text on accent */ + --destructive: 0 62.8% 30.6%; + --destructive-foreground: 0 0% 98%; + --border: 220 13% 28%; /* #3F4652 */ + --input: 220 13% 22%; /* Dark input background */ + --input-border: 220 13% 28%; /* Match border for input borders */ + --ring: 36 100% 55%; /* Accent for ring */ + --chart-1: 220 70% 50%; + --chart-2: 160 60% 45%; + --chart-3: 30 80% 55%; + --chart-4: 280 65% 60%; + --chart-5: 340 75% 55%; + --sidebar-background: 220 13% 15%; /* Darker for sidebar */ + --sidebar-foreground: 210 17% 82%; /* Light text */ + --sidebar-primary: 231 48% 60%; /* Primary color */ + --sidebar-primary-foreground: 0 0% 98%; /* White */ + --sidebar-accent: 36 100% 55%; /* Accent color */ + --sidebar-accent-foreground: 36 100% 10%; /* Dark text on accent */ + --sidebar-border: 220 13% 28%; /* Border */ + --sidebar-ring: 36 100% 55%; /* Accent for ring */ + } +} + +@layer base { + * { + @apply border-border; + } + body { + @apply bg-background text-foreground; + font-family: 'Inter', sans-serif; /* Ensure Inter is the default */ + } + /* Apply input border color globally */ + input, textarea, select { + @apply border-input-border; + } +} + + \ No newline at end of file diff --git a/src/app/layout.tsx b/src/app/layout.tsx new file mode 100644 index 0000000000000000000000000000000000000000..b94d9b71adbdd571db9e7794b06fb6f35e22c5de --- /dev/null +++ b/src/app/layout.tsx @@ -0,0 +1,28 @@ +import type {Metadata} from 'next'; +import './globals.css'; +import { Toaster } from "@/components/ui/toaster"; + +export const metadata: Metadata = { + title: 'Lagrange Leap', + description: 'Lagrange Interpolation Solver', +}; + +export default function RootLayout({ + children, +}: Readonly<{ + children: React.ReactNode; +}>) { + return ( + + + + + + + + {children} + + + + ); +} diff --git a/src/app/page.tsx b/src/app/page.tsx new file mode 100644 index 0000000000000000000000000000000000000000..f317aa0023451df79c62b5e950e0a36e8afa5549 --- /dev/null +++ b/src/app/page.tsx @@ -0,0 +1,22 @@ +import { LagrangeSolver } from "@/components/lagrange-solver"; + +export default function Home() { + return ( +
+
+
+

+ Lagrange Leap +

+

+ A Simple Lagrange Interpolation Solver +

+
+ +
+

© {new Date().getFullYear()} Lagrange Leap. All rights reserved.

+
+
+
+ ); +} diff --git a/src/components/lagrange-solver.tsx b/src/components/lagrange-solver.tsx new file mode 100644 index 0000000000000000000000000000000000000000..9e3c6586bb95a66a294c4052a65b9bf98d9d69b6 --- /dev/null +++ b/src/components/lagrange-solver.tsx @@ -0,0 +1,469 @@ + +"use client"; + +import * as React from "react"; +import { useForm, useFieldArray } from "react-hook-form"; +import { zodResolver } from "@hookform/resolvers/zod"; +import { LagrangeFormSchema, type LagrangeFormValues, type DataPoint } from "@/lib/schemas"; +import { Button } from "@/components/ui/button"; +import { Input } from "@/components/ui/input"; +import { Card, CardContent, CardDescription, CardFooter, CardHeader, CardTitle } from "@/components/ui/card"; +import { Form, FormControl, FormField, FormItem, FormLabel, FormMessage } from "@/components/ui/form"; +import { Alert, AlertDescription, AlertTitle } from "@/components/ui/alert"; +import { PlusCircle, MinusCircle, Calculator, Sigma, Target, AlertTriangle, ListChecks, FunctionSquare, Spline } from "lucide-react"; +import { calculateLagrangeInterpolation, type CalculationStep } from "@/app/actions"; +import { useToast } from "@/hooks/use-toast"; +import { Accordion, AccordionContent, AccordionItem, AccordionTrigger } from "@/components/ui/accordion"; +import { + ChartContainer, + ChartTooltip, + ChartTooltipContent, + ChartLegend, + ChartLegendContent, +} from "@/components/ui/chart"; +import { LineChart as RechartsLineChart, Line, XAxis, YAxis, CartesianGrid, Tooltip as RechartsTooltip, Legend as RechartsLegend, Scatter, ReferenceDot, Label as RechartsLabel, ReferenceLine } from "recharts"; +import { cn } from "@/lib/utils"; + +// Helper component to render fractions +const SymbolicFraction: React.FC<{ numerator: string | React.ReactNode; denominator: string | React.ReactNode; className?: string }> = ({ numerator, denominator, className }) => { + return ( +
+ {numerator} +
+ {denominator} +
+ ); +}; + + +export function LagrangeSolver() { + const { toast } = useToast(); + const [isLoading, setIsLoading] = React.useState(false); + const [result, setResult] = React.useState<{ + interpolatedValue: number | null; + polynomialTermsDisplay: string[]; + calculationSteps: CalculationStep[]; + plotData?: Array<{ x: number; original?: number; interpolated?: number; target?: number }>; + interpolationPoint?: number; + } | null>(null); + const [error, setError] = React.useState(null); + + const form = useForm({ + resolver: zodResolver(LagrangeFormSchema), + defaultValues: { + dataPoints: [{ x: "", y: "" }, { x: "", y: "" }], + interpolationX: "", + }, + }); + + const { fields, append, remove } = useFieldArray({ + control: form.control, + name: "dataPoints", + }); + + const onSubmit = async (values: LagrangeFormValues) => { + setIsLoading(true); + setResult(null); + setError(null); + + const numericDataPoints: DataPoint[] = values.dataPoints.map(dp => ({ + x: parseFloat(dp.x), + y: parseFloat(dp.y), + })); + const numericInterpolationX = parseFloat(values.interpolationX); + + try { + const response = await calculateLagrangeInterpolation(numericDataPoints, numericInterpolationX); + if (response.error) { + setError(response.error); + toast({ + title: "Calculation Error", + description: response.error, + variant: "destructive", + }); + } else { + setResult(response); + } + } catch (e) { + const errorMessage = e instanceof Error ? e.message : "An unknown error occurred."; + setError(errorMessage); + toast({ + title: "Unhandled Error", + description: errorMessage, + variant: "destructive", + }); + } finally { + setIsLoading(false); + } + }; + + const chartConfig = { + original: { label: "Original Data", color: "hsl(var(--primary))" }, + interpolated: { label: "Lagrange Polynomial", color: "hsl(var(--accent))" }, + target: { label: `Interpolated L(${result?.interpolationPoint})`, color: "hsl(var(--destructive))" }, + }; + + return ( +
+ + + + + + Data Points (x, y) + + Enter the known data points. At least one point is required. X values must be unique. + + + {fields.map((field, index) => ( +
+ ( + + X{index} + + + + + + )} + /> + ( + + Y{index} + + + + + + )} + /> + {fields.length > 1 && ( + + )} +
+ ))} + {form.formState.errors.dataPoints && typeof form.formState.errors.dataPoints.message === 'string' && ( +

{form.formState.errors.dataPoints.message}

+ )} + {form.formState.errors.dataPoints?.root?.message && ( +

{form.formState.errors.dataPoints.root.message}

+ )} + + + + + + + + + + + Interpolation Point (X) + + Specify the X value at which to estimate the function. + + + ( + + X value for interpolation + + + + + + )} + /> + + + + + + {isLoading && ( +
+

Calculating, please wait...

+
+ )} + + {error && !isLoading && ( + + + Error + {error} + + )} + + {result && !isLoading && !error && ( + <> + + + + + Results Summary + + + +
+

Interpolated Value:

+

+ L({result.interpolationPoint?.toString()}) =  + {result.interpolatedValue?.toFixed(6)} +

+
+
+

Lagrange Polynomial L(x):

+

+ The polynomial is formed by summing these terms: +

+
+ 

+                      {result.polynomialTermsDisplay.map((term, index) => (
+                        
+                          {term}
+                          {index < result.polynomialTermsDisplay.length - 1 ? " + " : ""}
+                        
+                      ))}
+
+
+
+ + + + {result.calculationSteps && result.calculationSteps.length > 0 && ( + + + + + Step-by-Step Calculation + + + + + {result.calculationSteps.map((step, index) => ( + + + Term {index + 1}: Contribution of y{step.termIndex} = {step.yValue.toFixed(4)} + + + {/* Section 1: Basis Polynomial Definition */} +
+

Basis Polynomial L{step.termIndex}(x)

+

+ General form: L{step.termIndex}(x) = ∏k≠{step.termIndex} + + (x - xk) / (x{step.termIndex} - xk) + +

+
+ Actual L{step.termIndex}(x) =  + +
+
+ =  + +
+
+ + {/* Section 2: Evaluation */} +
+

Evaluating L{step.termIndex}(x) at x = {result.interpolationPoint?.toString()}

+
+ L{step.termIndex}({result.interpolationPoint?.toString()}) =  + +
+
+ =  + +  = {step.basisPolynomialValueAtX.toFixed(6)} +
+
+ + {/* Section 3: Term Contribution */} +
+

Term Contribution: y{step.termIndex} · L{step.termIndex}({result.interpolationPoint?.toString()})

+ { form.getValues("dataPoints").length > 1 && (step.basisNumeratorSymbolic !== "1" || step.basisDenominatorSymbolic !== "1" || step.basisDenominatorValue !== 1.0) && +
+ Symbolic Term{step.termIndex} =  + {step.yValue.toFixed(4)} · ({step.basisNumeratorSymbolic || "1"}) + } + denominator={step.basisDenominatorValue.toFixed(6)} + /> +
+ } + { (form.getValues("dataPoints").length === 1 || (step.basisNumeratorSymbolic === "1" && step.basisDenominatorSymbolic ==="1" && step.basisDenominatorValue === 1.0)) && +

+ Symbolic Term{step.termIndex} = {step.yValue.toFixed(4)} +

+ } + +

+ Numerical Term{step.termIndex} = {step.yValue.toFixed(4)} · {step.basisPolynomialValueAtX.toFixed(6)} +

+

+ = {step.termValueAtX.toFixed(6)} +

+
+ + + ))} + +
+

Sum of Term Contributions (Final Interpolated Value):

+

{/* Removed font-code */} + L({result.interpolationPoint?.toString()}) = {result.calculationSteps.map(s => s.termValueAtX.toFixed(6)).join(" + ")} = {result.interpolatedValue?.toFixed(6)} +

+
+ + + )} + + {result.plotData && result.plotData.length > 0 && ( + + + + + Interpolation Plot + + + + + + + typeof tick === 'number' ? tick.toFixed(2) : tick} + stroke="hsl(var(--muted-foreground))" + /> + typeof tick === 'number' ? tick.toFixed(2) : tick} + stroke="hsl(var(--muted-foreground))" + /> + { + if (props.payload?.target !== undefined && name === 'target') return [`L(${props.payload.x.toFixed(2)}) = ${props.payload.target.toFixed(4)}`, null]; + if (name === 'original') return [value.toFixed(4), 'Original Point']; + if (name === 'interpolated') return [value.toFixed(4), 'Polynomial P(x)']; + return [value, name]; + }} + />} + cursor={{ stroke: "hsl(var(--accent))", strokeDasharray: '3 3' }} + wrapperStyle={{ outline: 'none', border: '1px solid hsl(var(--border))', borderRadius: 'var(--radius)', boxShadow: 'var(--shadow-md)'}} + /> + } wrapperStyle={{paddingTop: '20px'}} /> + + + {result.interpolationPoint !== undefined && result.interpolatedValue !== null && ( + + + + )} + {result.interpolationPoint !== undefined && result.interpolatedValue !== null && ( + <> + + + + + + + + )} + + + + + )} + + )} +
+ + ); +} + + \ No newline at end of file diff --git a/src/components/ui/accordion.tsx b/src/components/ui/accordion.tsx new file mode 100644 index 0000000000000000000000000000000000000000..24c788c2c44cb058812cdbb97d071439a87af5f0 --- /dev/null +++ b/src/components/ui/accordion.tsx @@ -0,0 +1,58 @@ +"use client" + +import * as React from "react" +import * as AccordionPrimitive from "@radix-ui/react-accordion" +import { ChevronDown } from "lucide-react" + +import { cn } from "@/lib/utils" + +const Accordion = AccordionPrimitive.Root + +const AccordionItem = React.forwardRef< + React.ElementRef, + React.ComponentPropsWithoutRef +>(({ className, ...props }, ref) => ( + +)) +AccordionItem.displayName = "AccordionItem" + +const AccordionTrigger = React.forwardRef< + React.ElementRef, + React.ComponentPropsWithoutRef +>(({ className, children, ...props }, ref) => ( + + svg]:rotate-180", + className + )} + {...props} + > + {children} + + + +)) +AccordionTrigger.displayName = AccordionPrimitive.Trigger.displayName + +const AccordionContent = React.forwardRef< + React.ElementRef, + React.ComponentPropsWithoutRef +>(({ className, children, ...props }, ref) => ( + +
{children}
+ +)) + +AccordionContent.displayName = AccordionPrimitive.Content.displayName + +export { Accordion, AccordionItem, AccordionTrigger, AccordionContent } diff --git a/src/components/ui/alert-dialog.tsx b/src/components/ui/alert-dialog.tsx new file mode 100644 index 0000000000000000000000000000000000000000..25e7b474464c9849cef836f5c863be0f38bdaac3 --- /dev/null +++ b/src/components/ui/alert-dialog.tsx @@ -0,0 +1,141 @@ +"use client" + +import * as React from "react" +import * as AlertDialogPrimitive from "@radix-ui/react-alert-dialog" + +import { cn } from "@/lib/utils" +import { buttonVariants } from "@/components/ui/button" + +const AlertDialog = AlertDialogPrimitive.Root + +const AlertDialogTrigger = AlertDialogPrimitive.Trigger + +const AlertDialogPortal = AlertDialogPrimitive.Portal + +const AlertDialogOverlay = React.forwardRef< + React.ElementRef, + React.ComponentPropsWithoutRef +>(({ className, ...props }, ref) => ( + +)) +AlertDialogOverlay.displayName = AlertDialogPrimitive.Overlay.displayName + +const AlertDialogContent = React.forwardRef< + React.ElementRef, + React.ComponentPropsWithoutRef +>(({ className, ...props }, ref) => ( + + + + +)) +AlertDialogContent.displayName = AlertDialogPrimitive.Content.displayName + +const AlertDialogHeader = ({ + className, + ...props +}: React.HTMLAttributes) => ( +
+) +AlertDialogHeader.displayName = "AlertDialogHeader" + +const AlertDialogFooter = ({ + className, + ...props +}: React.HTMLAttributes) => ( +
+) +AlertDialogFooter.displayName = "AlertDialogFooter" + +const AlertDialogTitle = React.forwardRef< + React.ElementRef, + React.ComponentPropsWithoutRef +>(({ className, ...props }, ref) => ( + +)) +AlertDialogTitle.displayName = AlertDialogPrimitive.Title.displayName + +const AlertDialogDescription = React.forwardRef< + React.ElementRef, + React.ComponentPropsWithoutRef +>(({ className, ...props }, ref) => ( + +)) +AlertDialogDescription.displayName = + AlertDialogPrimitive.Description.displayName + +const AlertDialogAction = React.forwardRef< + React.ElementRef, + React.ComponentPropsWithoutRef +>(({ className, ...props }, ref) => ( + +)) +AlertDialogAction.displayName = AlertDialogPrimitive.Action.displayName + +const AlertDialogCancel = React.forwardRef< + React.ElementRef, + React.ComponentPropsWithoutRef +>(({ className, ...props }, ref) => ( + +)) +AlertDialogCancel.displayName = AlertDialogPrimitive.Cancel.displayName + +export { + AlertDialog, + AlertDialogPortal, + AlertDialogOverlay, + AlertDialogTrigger, + AlertDialogContent, + AlertDialogHeader, + AlertDialogFooter, + AlertDialogTitle, + AlertDialogDescription, + AlertDialogAction, + AlertDialogCancel, +} diff --git a/src/components/ui/alert.tsx b/src/components/ui/alert.tsx new file mode 100644 index 0000000000000000000000000000000000000000..41fa7e0561a3fdb5f986c1213a35e563de740e96 --- /dev/null +++ b/src/components/ui/alert.tsx @@ -0,0 +1,59 @@ +import * as React from "react" +import { cva, type VariantProps } from "class-variance-authority" + +import { cn } from "@/lib/utils" + +const alertVariants = cva( + "relative w-full rounded-lg border p-4 [&>svg~*]:pl-7 [&>svg+div]:translate-y-[-3px] [&>svg]:absolute [&>svg]:left-4 [&>svg]:top-4 [&>svg]:text-foreground", + { + variants: { + variant: { + default: "bg-background text-foreground", + destructive: + "border-destructive/50 text-destructive dark:border-destructive [&>svg]:text-destructive", + }, + }, + defaultVariants: { + variant: "default", + }, + } +) + +const Alert = React.forwardRef< + HTMLDivElement, + React.HTMLAttributes & VariantProps +>(({ className, variant, ...props }, ref) => ( +
+)) +Alert.displayName = "Alert" + +const AlertTitle = React.forwardRef< + HTMLParagraphElement, + React.HTMLAttributes +>(({ className, ...props }, ref) => ( +
+)) +AlertTitle.displayName = "AlertTitle" + +const AlertDescription = React.forwardRef< + HTMLParagraphElement, + React.HTMLAttributes +>(({ className, ...props }, ref) => ( +
+)) +AlertDescription.displayName = "AlertDescription" + +export { Alert, AlertTitle, AlertDescription } diff --git a/src/components/ui/avatar.tsx b/src/components/ui/avatar.tsx new file mode 100644 index 0000000000000000000000000000000000000000..51e507ba9d08bcdbb1fb630498f1cbdf2bf50093 --- /dev/null +++ b/src/components/ui/avatar.tsx @@ -0,0 +1,50 @@ +"use client" + +import * as React from "react" +import * as AvatarPrimitive from "@radix-ui/react-avatar" + +import { cn } from "@/lib/utils" + +const Avatar = React.forwardRef< + React.ElementRef, + React.ComponentPropsWithoutRef +>(({ className, ...props }, ref) => ( + +)) +Avatar.displayName = AvatarPrimitive.Root.displayName + +const AvatarImage = React.forwardRef< + React.ElementRef, + React.ComponentPropsWithoutRef +>(({ className, ...props }, ref) => ( + +)) +AvatarImage.displayName = AvatarPrimitive.Image.displayName + +const AvatarFallback = React.forwardRef< + React.ElementRef, + React.ComponentPropsWithoutRef +>(({ className, ...props }, ref) => ( + +)) +AvatarFallback.displayName = AvatarPrimitive.Fallback.displayName + +export { Avatar, AvatarImage, AvatarFallback } diff --git a/src/components/ui/badge.tsx b/src/components/ui/badge.tsx new file mode 100644 index 0000000000000000000000000000000000000000..f000e3ef5176395b067dfc3f3e1256a80c450015 --- /dev/null +++ b/src/components/ui/badge.tsx @@ -0,0 +1,36 @@ +import * as React from "react" +import { cva, type VariantProps } from "class-variance-authority" + +import { cn } from "@/lib/utils" + +const badgeVariants = cva( + "inline-flex items-center rounded-full border px-2.5 py-0.5 text-xs font-semibold transition-colors focus:outline-none focus:ring-2 focus:ring-ring focus:ring-offset-2", + { + variants: { + variant: { + default: + "border-transparent bg-primary text-primary-foreground hover:bg-primary/80", + secondary: + "border-transparent bg-secondary text-secondary-foreground hover:bg-secondary/80", + destructive: + "border-transparent bg-destructive text-destructive-foreground hover:bg-destructive/80", + outline: "text-foreground", + }, + }, + defaultVariants: { + variant: "default", + }, + } +) + +export interface BadgeProps + extends React.HTMLAttributes, + VariantProps {} + +function Badge({ className, variant, ...props }: BadgeProps) { + return ( +
+ ) +} + +export { Badge, badgeVariants } diff --git a/src/components/ui/button.tsx b/src/components/ui/button.tsx new file mode 100644 index 0000000000000000000000000000000000000000..36496a28727a3643b4212a14225d4f6cbd50bda5 --- /dev/null +++ b/src/components/ui/button.tsx @@ -0,0 +1,56 @@ +import * as React from "react" +import { Slot } from "@radix-ui/react-slot" +import { cva, type VariantProps } from "class-variance-authority" + +import { cn } from "@/lib/utils" + +const buttonVariants = cva( + "inline-flex items-center justify-center gap-2 whitespace-nowrap rounded-md text-sm font-medium ring-offset-background transition-colors focus-visible:outline-none focus-visible:ring-2 focus-visible:ring-ring focus-visible:ring-offset-2 disabled:pointer-events-none disabled:opacity-50 [&_svg]:pointer-events-none [&_svg]:size-4 [&_svg]:shrink-0", + { + variants: { + variant: { + default: "bg-primary text-primary-foreground hover:bg-primary/90", + destructive: + "bg-destructive text-destructive-foreground hover:bg-destructive/90", + outline: + "border border-input bg-background hover:bg-accent hover:text-accent-foreground", + secondary: + "bg-secondary text-secondary-foreground hover:bg-secondary/80", + ghost: "hover:bg-accent hover:text-accent-foreground", + link: "text-primary underline-offset-4 hover:underline", + }, + size: { + default: "h-10 px-4 py-2", + sm: "h-9 rounded-md px-3", + lg: "h-11 rounded-md px-8", + icon: "h-10 w-10", + }, + }, + defaultVariants: { + variant: "default", + size: "default", + }, + } +) + +export interface ButtonProps + extends React.ButtonHTMLAttributes, + VariantProps { + asChild?: boolean +} + +const Button = React.forwardRef( + ({ className, variant, size, asChild = false, ...props }, ref) => { + const Comp = asChild ? Slot : "button" + return ( + + ) + } +) +Button.displayName = "Button" + +export { Button, buttonVariants } diff --git a/src/components/ui/calendar.tsx b/src/components/ui/calendar.tsx new file mode 100644 index 0000000000000000000000000000000000000000..3cd65cc72b030bce2f3da20bb94c4cf745091f55 --- /dev/null +++ b/src/components/ui/calendar.tsx @@ -0,0 +1,70 @@ +"use client" + +import * as React from "react" +import { ChevronLeft, ChevronRight } from "lucide-react" +import { DayPicker } from "react-day-picker" + +import { cn } from "@/lib/utils" +import { buttonVariants } from "@/components/ui/button" + +export type CalendarProps = React.ComponentProps + +function Calendar({ + className, + classNames, + showOutsideDays = true, + ...props +}: CalendarProps) { + return ( + ( + + ), + IconRight: ({ className, ...props }) => ( + + ), + }} + {...props} + /> + ) +} +Calendar.displayName = "Calendar" + +export { Calendar } diff --git a/src/components/ui/card.tsx b/src/components/ui/card.tsx new file mode 100644 index 0000000000000000000000000000000000000000..f62edea578d50058bef5e6bcc178b88d145564e9 --- /dev/null +++ b/src/components/ui/card.tsx @@ -0,0 +1,79 @@ +import * as React from "react" + +import { cn } from "@/lib/utils" + +const Card = React.forwardRef< + HTMLDivElement, + React.HTMLAttributes +>(({ className, ...props }, ref) => ( +
+)) +Card.displayName = "Card" + +const CardHeader = React.forwardRef< + HTMLDivElement, + React.HTMLAttributes +>(({ className, ...props }, ref) => ( +
+)) +CardHeader.displayName = "CardHeader" + +const CardTitle = React.forwardRef< + HTMLDivElement, + React.HTMLAttributes +>(({ className, ...props }, ref) => ( +
+)) +CardTitle.displayName = "CardTitle" + +const CardDescription = React.forwardRef< + HTMLDivElement, + React.HTMLAttributes +>(({ className, ...props }, ref) => ( +
+)) +CardDescription.displayName = "CardDescription" + +const CardContent = React.forwardRef< + HTMLDivElement, + React.HTMLAttributes +>(({ className, ...props }, ref) => ( +
+)) +CardContent.displayName = "CardContent" + +const CardFooter = React.forwardRef< + HTMLDivElement, + React.HTMLAttributes +>(({ className, ...props }, ref) => ( +
+)) +CardFooter.displayName = "CardFooter" + +export { Card, CardHeader, CardFooter, CardTitle, CardDescription, CardContent } diff --git a/src/components/ui/chart.tsx b/src/components/ui/chart.tsx new file mode 100644 index 0000000000000000000000000000000000000000..32dc873f363cb707ab3cd8d37e14e03771f095d2 --- /dev/null +++ b/src/components/ui/chart.tsx @@ -0,0 +1,365 @@ +"use client" + +import * as React from "react" +import * as RechartsPrimitive from "recharts" + +import { cn } from "@/lib/utils" + +// Format: { THEME_NAME: CSS_SELECTOR } +const THEMES = { light: "", dark: ".dark" } as const + +export type ChartConfig = { + [k in string]: { + label?: React.ReactNode + icon?: React.ComponentType + } & ( + | { color?: string; theme?: never } + | { color?: never; theme: Record } + ) +} + +type ChartContextProps = { + config: ChartConfig +} + +const ChartContext = React.createContext(null) + +function useChart() { + const context = React.useContext(ChartContext) + + if (!context) { + throw new Error("useChart must be used within a ") + } + + return context +} + +const ChartContainer = React.forwardRef< + HTMLDivElement, + React.ComponentProps<"div"> & { + config: ChartConfig + children: React.ComponentProps< + typeof RechartsPrimitive.ResponsiveContainer + >["children"] + } +>(({ id, className, children, config, ...props }, ref) => { + const uniqueId = React.useId() + const chartId = `chart-${id || uniqueId.replace(/:/g, "")}` + + return ( + +
+ + + {children} + +
+ + ) +}) +ChartContainer.displayName = "Chart" + +const ChartStyle = ({ id, config }: { id: string; config: ChartConfig }) => { + const colorConfig = Object.entries(config).filter( + ([, config]) => config.theme || config.color + ) + + if (!colorConfig.length) { + return null + } + + return ( +