mirror of
https://github.com/ggml-org/llama.cpp.git
synced 2026-07-23 11:10:55 -05:00
feat(ui): add symbolic math support to JS sandbox via nerdamer (#25948)
* feat(ui): add symbolic math support to JS sandbox via nerdamer Preload nerdamer (with decimal.js) in the sandboxed worker, exposing the `nerdamer` global for symbolic computation: simplify, expand, factor, diff, integrate, solve, laplace, ilt, limit, partfrac, gcd/lcm, roots, coefficients, and more. Mirrors the math.js integration pattern from the feature/sandbox-symbolic-math branch, but uses nerdamer for a lighter, more focused symbolic math engine. * Update sandbox-harness.ts * docs(ui): update sandbox tool description with detailed nerdamer usage guide * Clarify nerdamer usage in sandbox tool description Updated the description of the sandbox tool to clarify usage of nerdamer. * ui: build nerdamer sandbox prelude from vendored source Replace the vendored all.min.js with the readable nerdamer-prime source and its two bundled deps (big-integer, decimal.js), licenses included. A vite plugin bundles and minifies them at build time with the upstream esbuild flags, exposed as virtual:nerdamer and imported lazily on first sandbox use. The vendors package.json pins commonjs so the project level type: module does not break esbuild format detection. The harness gains a CSP removing network egress from the worker, and browser tests cover the prelude, exact arithmetic, the fetch block and the timeout. Upstream snapshot: together-science/nerdamer-prime@1936145 * feat(ui): make symbolic math (nerdamer) a user-toggleable setting - Add SYMBOLIC_MATH_ENABLED setting key and registry entry (checkbox, default false) - Convert SANDBOX_TOOL_DEFINITION to buildSandboxToolDefinition(includeSymbolicMath) so the tool description includes/excludes nerdamer API docs dynamically - Cache sandbox harness per variant ('nerdamer' / 'plain') for instant toggle - Deprecate SANDBOX_TOOL_DEFINITION constant alias for backward compatibility - Update tools store to pass symbolic math config into tool definition * docs(ui): tell LLM to list nerdamer functions first, do not guess * test(ui): enable symbolic math in sandbox tests via settingsStore config * style(ui): fix formatting for tools.svelte.ts --------- Co-authored-by: Pascal <admin@serveurperso.com>
This commit is contained in:
rankaiyx
4
tools/ui/.gitignore
vendored
4
tools/ui/.gitignore
vendored
@@ -36,3 +36,7 @@ static/favicon*
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*storybook.log
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storybook-static
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*.code-workspace
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# Vitest browser mode failure artifacts
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.vitest-attachments/
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tests/**/__screenshots__/
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@@ -16,3 +16,6 @@ build/
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/build/
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/.svelte-kit/
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test-results
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# Vendored third party sources, kept byte identical to upstream
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src/lib/vendors/
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@@ -59,7 +59,8 @@ export default ts.config(
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'.svelte-kit/**',
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'test-results/**',
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'.storybook/**/*',
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'src/lib/services/sandbox-worker.js'
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'src/lib/services/sandbox-worker.js',
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'src/lib/vendors/**'
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]
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},
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storybook.configs['flat/recommended']
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49
tools/ui/scripts/vite-plugin-nerdamer.ts
Normal file
49
tools/ui/scripts/vite-plugin-nerdamer.ts
Normal file
@@ -0,0 +1,49 @@
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import { build } from 'esbuild';
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import { dirname, resolve } from 'path';
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import { fileURLToPath } from 'url';
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import type { Plugin } from 'vite';
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const __dirname = dirname(fileURLToPath(import.meta.url));
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const VENDORS_DIR = resolve(__dirname, '../src/lib/vendors');
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const VIRTUAL_ID = 'virtual:nerdamer';
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const RESOLVED_ID = '\0' + VIRTUAL_ID;
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/**
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* Bundle the vendored nerdamer-prime source into a minified IIFE string,
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* exposed as the `virtual:nerdamer` module. Flags mirror the upstream
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* build (esbuild --bundle --minify --format=iife --global-name=nerdamer),
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* so only human readable source lives in the repo and minification is a
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* build artifact. Vendored under src/lib/vendors/, upstream snapshot:
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* https://github.com/together-science/nerdamer-prime/commit/1936145f8af306ec0d883b9bfd7730aedd175c24
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*/
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export function nerdamerPlugin(): Plugin {
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let bundled: string | null = null;
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return {
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name: 'llamacpp:nerdamer',
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resolveId(id) {
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return id === VIRTUAL_ID ? RESOLVED_ID : undefined;
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},
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async load(id) {
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if (id !== RESOLVED_ID) return undefined;
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if (bundled === null) {
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const result = await build({
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entryPoints: [resolve(VENDORS_DIR, 'nerdamer-prime/all.js')],
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bundle: true,
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minify: true,
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format: 'iife',
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globalName: 'nerdamer',
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alias: {
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'big-integer': resolve(VENDORS_DIR, 'big-integer/BigInteger.js'),
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'decimal.js': resolve(VENDORS_DIR, 'decimal.js/decimal.js')
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},
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write: false,
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logLevel: 'silent'
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});
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bundled = result.outputFiles[0].text;
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}
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return `export default ${JSON.stringify(bundled)};`;
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}
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};
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}
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@@ -13,27 +13,44 @@ export const SANDBOX_EMPTY_OUTPUT = '(no output)';
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export const SANDBOX_TRUNCATION_NOTICE = '[output truncated]';
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export const SANDBOX_TOOL_DEFINITION: OpenAIToolDefinition = {
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type: ToolCallType.FUNCTION,
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function: {
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name: SANDBOX_TOOL_NAME,
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description:
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'Execute JavaScript in a sandboxed browser worker (no DOM, no page access). ' +
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'Top level await is supported. Use console.log to print intermediate values; ' +
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'a top level return statement is captured as the result.',
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parameters: {
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type: JsonSchemaType.OBJECT,
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properties: {
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code: {
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type: JsonSchemaType.STRING,
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description: 'JavaScript source to execute'
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const NERDAMER_DESCRIPTION = `
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Symbolic/numeric math via \`nerdamer\` (pre-loaded, do not require, use it directly).
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nerdamer('diff(sin(x)/x,x)') or nerdamer.diff('sin(x)/x','x') → Expression; convert with .toString()/.text()/.toTeX(), or .evaluate() (→ still Expression, then .toString()).
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nerdamer(expr,{x:2}) substitutes only; chain .evaluate() or pass 'numer' for numeric result.
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solve(expr,var)→Symbol[]; solveEquations([eq1,..])→[[var,val],..] pairs.
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Functions: simplify/expand/factor(expr), diff(expr,var[,n]), integrate(expr,var), defint(expr,from,to,var), limit(expr,var,to), laplace(expr,t,s), ilt(expr,s,t), gcd/lcm(a,b), roots/coeffs/partfrac(expr,var), pfactor(n), numer/decimals/erf(expr), product/sum(expr,var,from,to), mean/median/stdev/variance(...vals).
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Object.keys(nerdamer).filter(k=>typeof nerdamer[k]==='function') lists all available functions. If you need a function not documented above, list them first — do not guess function names.`;
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/**
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* Build the sandbox tool definition. When `includeSymbolicMath` is true,
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* the description includes nerdamer API documentation; otherwise it
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* describes a plain JavaScript sandbox.
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*/
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export function buildSandboxToolDefinition(includeSymbolicMath: boolean): OpenAIToolDefinition {
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return {
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type: ToolCallType.FUNCTION,
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function: {
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name: SANDBOX_TOOL_NAME,
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description: includeSymbolicMath
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? `Execute JS in a sandboxed browser worker (no DOM/page access). Top-level await ok; console.log for intermediates; top-level return is captured as result.${NERDAMER_DESCRIPTION}`
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: 'Execute JS in a sandboxed browser worker (no DOM/page access). Top-level await ok; console.log for intermediates; top-level return is captured as result.',
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parameters: {
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type: JsonSchemaType.OBJECT,
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properties: {
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code: {
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type: JsonSchemaType.STRING,
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description: 'JavaScript source to execute'
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},
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timeout_ms: {
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type: JsonSchemaType.NUMBER,
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description: `Execution timeout in milliseconds, default ${SANDBOX_TIMEOUT_MS_DEFAULT}, max ${SANDBOX_TIMEOUT_MS_MAX}`
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}
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},
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timeout_ms: {
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type: JsonSchemaType.NUMBER,
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description: `Execution timeout in milliseconds, default ${SANDBOX_TIMEOUT_MS_DEFAULT}, max ${SANDBOX_TIMEOUT_MS_MAX}`
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}
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},
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required: ['code']
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required: ['code']
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}
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}
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}
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};
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};
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}
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/** @deprecated Use {@link buildSandboxToolDefinition} instead. Kept for backward compatibility. */
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export const SANDBOX_TOOL_DEFINITION = buildSandboxToolDefinition(true);
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@@ -67,6 +67,7 @@ export const SETTINGS_KEYS = {
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EXCLUDE_REASONING_FROM_CONTEXT: 'excludeReasoningFromContext',
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SHOW_RAW_OUTPUT_SWITCH: 'showRawOutputSwitch',
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JS_SANDBOX_ENABLED: 'jsSandboxEnabled',
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SYMBOLIC_MATH_ENABLED: 'symbolicMathEnabled',
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// PY_INTERPRETER_ENABLED: 'pyInterpreterEnabled',
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CUSTOM_JSON: 'customJson',
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CUSTOM_CSS: 'customCss'
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@@ -724,6 +724,15 @@ const SETTINGS_REGISTRY: Record<string, SettingsSectionEntry> = {
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paramType: SyncableParameterType.BOOLEAN
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}
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},
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{
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key: SETTINGS_KEYS.SYMBOLIC_MATH_ENABLED,
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label: 'Symbolic math (nerdamer)',
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help: 'Pre-load nerdamer in the sandbox for symbolic computation: simplify, diff, integrate, solve, and more. Requires "JavaScript sandbox tool" to be enabled.',
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defaultValue: false,
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type: SettingsFieldType.CHECKBOX,
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section: SETTINGS_SECTION_SLUGS.DEVELOPER,
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dependsOn: SETTINGS_KEYS.JS_SANDBOX_ENABLED
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},
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{
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key: SETTINGS_KEYS.CUSTOM_JSON,
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label: 'Custom JSON',
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@@ -276,7 +276,7 @@ export { MCPService } from './mcp.service';
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* - **toolsStore**: Exposes the tool definition when the sandbox is enabled
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* - **agenticStore**: Dispatches ToolSource.FRONTEND calls here
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*
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* @see SANDBOX_TOOL_DEFINITION in constants/sandbox.ts - tool schema sent to the LLM
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* @see buildSandboxToolDefinition in constants/sandbox.ts - tool schema sent to the LLM
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* @see agenticStore in stores/agentic.svelte.ts - tool dispatch
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*/
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export { SandboxService } from './sandbox.service';
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@@ -1,14 +1,25 @@
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import { NEWLINE } from '$lib/constants';
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import WORKER_SHIM from './sandbox-worker.js?raw';
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/**
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* CSP for the harness document, inherited by the blob worker. connect-src
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* falls back to default-src, removing network egress for model and vendored
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* code. 'unsafe-eval' is required by the worker's AsyncFunction constructor,
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* 'unsafe-inline' by the inline script below, worker-src by the blob worker.
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*/
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const HARNESS_CSP = `default-src 'none'; script-src 'unsafe-inline' 'unsafe-eval'; worker-src blob:`;
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/**
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* Harness loaded as srcdoc into a sandboxed iframe (allow-scripts only).
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* The opaque origin is the security boundary: no access to the app origin,
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* its storage or its API. The harness spawns a worker so model code never
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* runs on a main thread, which makes the parent timeout enforceable by
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* removing the iframe.
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* removing the iframe. The prelude runs in the worker before the shim,
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* exposing globals such as `nerdamer` to model code.
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*/
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export const SANDBOX_HARNESS_HTML = `<!doctype html><script>
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const SHIM = ${JSON.stringify(WORKER_SHIM)};
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export function buildSandboxHarness(preludeJs: string): string {
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return `<!doctype html><meta http-equiv="Content-Security-Policy" content="${HARNESS_CSP}"><script>
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const SHIM = ${JSON.stringify(preludeJs + NEWLINE + WORKER_SHIM)};
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addEventListener('message', (event) => {
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const respond = (payload) => parent.postMessage(payload, '*');
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let worker;
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@@ -23,3 +34,4 @@ addEventListener('message', (event) => {
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worker.postMessage({ code: event.data.code });
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});
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</script>`;
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}
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@@ -21,7 +21,9 @@ self.onmessage = async (event) => {
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const reply = { logs, result: null, error: null };
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try {
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const AsyncFunction = Object.getPrototypeOf(async function () {}).constructor;
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const value = await new AsyncFunction(event.data.code)();
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// The prelude bundled ahead of this shim defines self.nerdamer,
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// passed into the execution scope as the `nerdamer` parameter.
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const value = await new AsyncFunction('nerdamer', event.data.code)(self.nerdamer);
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if (value !== undefined) reply.result = fmt(value);
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} catch (err) {
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reply.error = err instanceof Error ? err.stack || err.message : String(err);
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@@ -7,9 +7,32 @@ import {
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SANDBOX_TOOL_NAME,
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SANDBOX_TRUNCATION_NOTICE
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} from '$lib/constants';
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import { SANDBOX_HARNESS_HTML } from './sandbox-harness';
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import { buildSandboxHarness } from './sandbox-harness';
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import { config } from '$lib/stores/settings.svelte';
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import type { ToolExecutionResult } from '$lib/types';
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/** Cached harnesses keyed by whether nerdamer is included. */
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const harnessCache: Record<string, string> = {};
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/**
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* Build the sandbox harness. When symbolic math is enabled, loads the
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* nerdamer prelude lazily; otherwise builds a plain harness with an empty
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* prelude. Cached per variant so toggling the setting is instant.
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*/
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async function getHarness(): Promise<string> {
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const enabled = !!config().symbolicMathEnabled;
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const key = enabled ? 'nerdamer' : 'plain';
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if (!harnessCache[key]) {
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if (enabled) {
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const { default: nerdamerJs } = await import('virtual:nerdamer');
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harnessCache[key] = buildSandboxHarness(nerdamerJs);
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} else {
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harnessCache[key] = buildSandboxHarness('');
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}
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}
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return harnessCache[key];
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||||
}
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|
||||
interface SandboxReply {
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logs?: unknown;
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result?: unknown;
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@@ -45,20 +68,22 @@ export class SandboxService {
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* timeout or abort. Removing the iframe terminates the worker
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* at the browser level, so runaway code cannot outlive it.
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*/
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static executeTool(
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static async executeTool(
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toolName: string,
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params: Record<string, unknown>,
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signal?: AbortSignal
|
||||
): Promise<ToolExecutionResult> {
|
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if (toolName !== SANDBOX_TOOL_NAME) {
|
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return Promise.resolve({ content: `Unknown frontend tool: ${toolName}`, isError: true });
|
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return { content: `Unknown frontend tool: ${toolName}`, isError: true };
|
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}
|
||||
|
||||
const code = typeof params.code === 'string' ? params.code : '';
|
||||
if (!code) {
|
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return Promise.resolve({ content: 'Missing required parameter: code', isError: true });
|
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return { content: 'Missing required parameter: code', isError: true };
|
||||
}
|
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|
||||
const harness = await getHarness();
|
||||
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const requested = Number(params.timeout_ms);
|
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const timeoutMs =
|
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Number.isFinite(requested) && requested > 0
|
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@@ -69,7 +94,7 @@ export class SandboxService {
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const iframe = document.createElement('iframe');
|
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iframe.setAttribute('sandbox', 'allow-scripts');
|
||||
iframe.style.display = 'none';
|
||||
iframe.srcdoc = SANDBOX_HARNESS_HTML;
|
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iframe.srcdoc = harness;
|
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|
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let settled = false;
|
||||
|
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|
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@@ -5,7 +5,7 @@ import { HealthCheckStatus, JsonSchemaType, ToolCallType, ToolSource } from '$li
|
||||
import { config } from '$lib/stores/settings.svelte';
|
||||
import {
|
||||
DISABLED_TOOL_KEYS_LOCALSTORAGE_KEY,
|
||||
SANDBOX_TOOL_DEFINITION,
|
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buildSandboxToolDefinition,
|
||||
TOOL_GROUP_LABELS,
|
||||
TOOL_SERVER_LABELS
|
||||
} from '$lib/constants';
|
||||
@@ -143,7 +143,9 @@ class ToolsStore {
|
||||
}
|
||||
|
||||
get frontendTools(): OpenAIToolDefinition[] {
|
||||
return config().jsSandboxEnabled ? [SANDBOX_TOOL_DEFINITION] : [];
|
||||
return config().jsSandboxEnabled
|
||||
? [buildSandboxToolDefinition(!!config().symbolicMathEnabled)]
|
||||
: [];
|
||||
}
|
||||
|
||||
get customTools(): OpenAIToolDefinition[] {
|
||||
|
||||
1453
tools/ui/src/lib/vendors/big-integer/BigInteger.js
vendored
Normal file
1453
tools/ui/src/lib/vendors/big-integer/BigInteger.js
vendored
Normal file
File diff suppressed because it is too large
Load Diff
24
tools/ui/src/lib/vendors/big-integer/LICENSE
vendored
Normal file
24
tools/ui/src/lib/vendors/big-integer/LICENSE
vendored
Normal file
@@ -0,0 +1,24 @@
|
||||
This is free and unencumbered software released into the public domain.
|
||||
|
||||
Anyone is free to copy, modify, publish, use, compile, sell, or
|
||||
distribute this software, either in source code form or as a compiled
|
||||
binary, for any purpose, commercial or non-commercial, and by any
|
||||
means.
|
||||
|
||||
In jurisdictions that recognize copyright laws, the author or authors
|
||||
of this software dedicate any and all copyright interest in the
|
||||
software to the public domain. We make this dedication for the benefit
|
||||
of the public at large and to the detriment of our heirs and
|
||||
successors. We intend this dedication to be an overt act of
|
||||
relinquishment in perpetuity of all present and future rights to this
|
||||
software under copyright law.
|
||||
|
||||
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
|
||||
EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
|
||||
MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
|
||||
IN NO EVENT SHALL THE AUTHORS BE LIABLE FOR ANY CLAIM, DAMAGES OR
|
||||
OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE,
|
||||
ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
|
||||
OTHER DEALINGS IN THE SOFTWARE.
|
||||
|
||||
For more information, please refer to <http://unlicense.org>
|
||||
23
tools/ui/src/lib/vendors/decimal.js/LICENCE.md
vendored
Normal file
23
tools/ui/src/lib/vendors/decimal.js/LICENCE.md
vendored
Normal file
@@ -0,0 +1,23 @@
|
||||
The MIT Licence.
|
||||
|
||||
Copyright (c) 2025 Michael Mclaughlin
|
||||
|
||||
Permission is hereby granted, free of charge, to any person obtaining
|
||||
a copy of this software and associated documentation files (the
|
||||
'Software'), to deal in the Software without restriction, including
|
||||
without limitation the rights to use, copy, modify, merge, publish,
|
||||
distribute, sublicense, and/or sell copies of the Software, and to
|
||||
permit persons to whom the Software is furnished to do so, subject to
|
||||
the following conditions:
|
||||
|
||||
The above copyright notice and this permission notice shall be
|
||||
included in all copies or substantial portions of the Software.
|
||||
|
||||
THE SOFTWARE IS PROVIDED 'AS IS', WITHOUT WARRANTY OF ANY KIND,
|
||||
EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
|
||||
MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
|
||||
IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY
|
||||
CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
|
||||
TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
|
||||
SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
|
||||
|
||||
4951
tools/ui/src/lib/vendors/decimal.js/decimal.js
vendored
Normal file
4951
tools/ui/src/lib/vendors/decimal.js/decimal.js
vendored
Normal file
File diff suppressed because it is too large
Load Diff
6213
tools/ui/src/lib/vendors/nerdamer-prime/Algebra.js
vendored
Normal file
6213
tools/ui/src/lib/vendors/nerdamer-prime/Algebra.js
vendored
Normal file
File diff suppressed because it is too large
Load Diff
3487
tools/ui/src/lib/vendors/nerdamer-prime/Calculus.js
vendored
Normal file
3487
tools/ui/src/lib/vendors/nerdamer-prime/Calculus.js
vendored
Normal file
File diff suppressed because it is too large
Load Diff
926
tools/ui/src/lib/vendors/nerdamer-prime/Extra.js
vendored
Normal file
926
tools/ui/src/lib/vendors/nerdamer-prime/Extra.js
vendored
Normal file
@@ -0,0 +1,926 @@
|
||||
/*
|
||||
* Author : Martin Donk
|
||||
* Website : http://www.nerdamer.com
|
||||
* Email : martin.r.donk@gmail.com
|
||||
* License : MIT
|
||||
* Source : https://github.com/jiggzson/nerdamer
|
||||
*/
|
||||
|
||||
// Type imports for JSDoc ======================================================
|
||||
// These typedefs provide type aliases for the interfaces defined in index.d.ts.
|
||||
// They enable proper type checking when working with the classes defined in this file.
|
||||
//
|
||||
// Usage patterns:
|
||||
// - For return types: @returns {NerdamerSymbolType}
|
||||
// - For parameters: @param {NerdamerSymbolType} symbol
|
||||
// - For variable declarations: /** @type {NerdamerSymbolType} */
|
||||
//
|
||||
// Note: When casting local class instances to interface types, use the pattern:
|
||||
// /** @type {InterfaceType} */ (/** @type {unknown} */ (localInstance))
|
||||
// This is needed because TypeScript sees local classes and interfaces as separate types.
|
||||
|
||||
/**
|
||||
* Core type aliases from index.d.ts
|
||||
*
|
||||
* @typedef {import('./index').NerdamerCore.NerdamerSymbol} NerdamerSymbolType
|
||||
*
|
||||
* @typedef {import('./index').NerdamerCore.Frac} FracType
|
||||
*
|
||||
* @typedef {import('./index').NerdamerCore.Vector} VectorType
|
||||
*
|
||||
* @typedef {import('./index').NerdamerCore.Matrix} MatrixType
|
||||
*
|
||||
* @typedef {import('./index').NerdamerCore.Parser} ParserType
|
||||
*
|
||||
* @typedef {import('./index').NerdamerCore.Settings} SettingsType
|
||||
*
|
||||
* @typedef {import('./index').NerdamerExpression} ExpressionType
|
||||
*
|
||||
* @typedef {typeof import('./index')} NerdamerType
|
||||
*
|
||||
* @typedef {import('./index').NerdamerCore.Utils} UtilsInterface
|
||||
*
|
||||
* @typedef {import('./index').NerdamerCore.Math2} Math2Interface
|
||||
*
|
||||
* @typedef {import('./index').NerdamerCore.Core} CoreType
|
||||
*
|
||||
* @typedef {import('./index').ExpressionParam} ExpressionParam
|
||||
*
|
||||
* @typedef {import('./index').ArithmeticOperand} ArithmeticOperand
|
||||
*
|
||||
* @typedef {import('./index').NerdamerCore.AlgebraModule} AlgebraModuleType
|
||||
*
|
||||
* @typedef {import('./index').NerdamerCore.PartFracSubModule} PartFracSubModuleType
|
||||
*
|
||||
* @typedef {import('./index').NerdamerCore.CalculusModule} CalculusModuleType
|
||||
*
|
||||
* @typedef {import('./index').NerdamerCore.ExtraModule} ExtraModuleType
|
||||
*
|
||||
* @typedef {import('./index').NerdamerCore.LaPlaceSubModule} LaPlaceSubModuleType
|
||||
*
|
||||
* @typedef {import('./index').NerdamerCore.StatisticsSubModule} StatisticsSubModuleType
|
||||
*
|
||||
* @typedef {import('./index').NerdamerCore.UnitsSubModule} UnitsSubModuleType
|
||||
*
|
||||
* @typedef {import('./index').NerdamerCore.DecomposeResultObject} DecomposeResultType
|
||||
*/
|
||||
|
||||
// Check if nerdamer exists globally (browser) or needs to be required (Node.js)
|
||||
let nerdamer = typeof globalThis !== 'undefined' && globalThis.nerdamer ? globalThis.nerdamer : undefined;
|
||||
if (typeof module !== 'undefined' && nerdamer === undefined) {
|
||||
nerdamer = require('./nerdamer.core.js');
|
||||
require('./Calculus');
|
||||
require('./Algebra');
|
||||
}
|
||||
|
||||
/** @returns {ExtraModuleType} */
|
||||
(function initExtraModule() {
|
||||
/** @type {CoreType} */
|
||||
const core = nerdamer.getCore();
|
||||
/** @type {ParserType} */
|
||||
const _ = core.PARSER;
|
||||
const {
|
||||
NerdamerSymbol,
|
||||
Vector: _Vector,
|
||||
/** @type {AlgebraModuleType} */
|
||||
Algebra,
|
||||
/** @type {CalculusModuleType} */
|
||||
Calculus,
|
||||
} = core;
|
||||
const { format, isVector, isArray, isSymbol } = core.Utils;
|
||||
const { S, EX: _EX, CP, PL, CB, FN } = core.groups;
|
||||
core.Settings.Laplace_integration_depth = 40;
|
||||
|
||||
/**
|
||||
* Check if a symbol's power is itself a symbol with group S or CB
|
||||
*
|
||||
* @param {NerdamerSymbolType} sym
|
||||
* @returns {boolean}
|
||||
*/
|
||||
function hasPowerGroupSOrCB(sym) {
|
||||
return isSymbol(sym.power) && (sym.power.group === S || sym.power.group === CB);
|
||||
}
|
||||
|
||||
/**
|
||||
* Finds a function by name within this symbol's tree.
|
||||
*
|
||||
* @this {NerdamerSymbolType}
|
||||
* @param {string} fname The function name to search for
|
||||
* @returns {NerdamerSymbolType | undefined} The found function symbol clone, or undefined if not found
|
||||
*/
|
||||
NerdamerSymbol.prototype.findFunction = function findFunction(fname) {
|
||||
// This is what we're looking for
|
||||
if (this.group === FN && this.fname === fname) {
|
||||
return this.clone();
|
||||
}
|
||||
let found;
|
||||
if (this.symbols) {
|
||||
for (const x in this.symbols) {
|
||||
if (!Object.hasOwn(this.symbols, x)) {
|
||||
continue;
|
||||
}
|
||||
found = this.symbols[x].findFunction(fname);
|
||||
if (found) {
|
||||
break;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
return found;
|
||||
};
|
||||
|
||||
/** @type {ExtraModuleType} */
|
||||
const __ = (core.Extra = {
|
||||
version: '1.4.2',
|
||||
// http://integral-table.com/downloads/LaplaceTable.pdf
|
||||
// Laplace assumes all coefficients to be positive
|
||||
LaPlace: {
|
||||
// Using: integral_0^oo f(t)*e^(-s*t) dt
|
||||
/**
|
||||
* @param {NerdamerSymbolType} symbol
|
||||
* @param {NerdamerSymbolType | string} t
|
||||
* @param {NerdamerSymbolType | string} s
|
||||
* @returns {NerdamerSymbolType}
|
||||
*/
|
||||
transform(symbol, t, s) {
|
||||
/** @type {NerdamerSymbolType} */
|
||||
symbol = symbol.clone();
|
||||
|
||||
t = t.toString();
|
||||
// First try a lookup for a speed boost
|
||||
symbol = NerdamerSymbol.unwrapSQRT(symbol, true);
|
||||
/** @type {NerdamerSymbolType} */
|
||||
let retval;
|
||||
const coeff = symbol.stripVar(t);
|
||||
const g = symbol.group;
|
||||
|
||||
symbol = /** @type {NerdamerSymbolType} */ (_.divide(symbol, coeff.clone()));
|
||||
|
||||
if (symbol.isConstant() || !symbol.contains(t, true)) {
|
||||
retval = _.parse(format('({0})/({1})', symbol, s));
|
||||
} else if (g === S && core.Utils.isInt(symbol.power)) {
|
||||
const n = String(symbol.power);
|
||||
retval = _.parse(format('factorial({0})/({1})^({0}+1)', n, s));
|
||||
} else if (symbol.group === S && symbol.power.equals(1 / 2)) {
|
||||
retval = _.parse(format('sqrt(pi)/(2*({0})^(3/2))', s));
|
||||
} else if (symbol.isComposite()) {
|
||||
retval = new NerdamerSymbol(0);
|
||||
symbol.each(x => {
|
||||
retval = /** @type {NerdamerSymbolType} */ (_.add(retval, __.LaPlace.transform(x, t, s)));
|
||||
}, true);
|
||||
} else if (symbol.isE() && hasPowerGroupSOrCB(symbol)) {
|
||||
const a = /** @type {NerdamerSymbolType} */ (symbol.power).stripVar(t);
|
||||
retval = _.parse(format('1/(({1})-({0}))', a, s));
|
||||
} else {
|
||||
const fns = ['sin', 'cos', 'sinh', 'cosh'];
|
||||
// Support for symbols in fns with arguments in the form a*t or n*t where a = symbolic and n = Number
|
||||
if (
|
||||
symbol.group === FN &&
|
||||
fns.indexOf(symbol.fname) !== -1 &&
|
||||
(symbol.args[0].group === S || symbol.args[0].group === CB)
|
||||
) {
|
||||
const a = symbol.args[0].stripVar(t);
|
||||
|
||||
switch (symbol.fname) {
|
||||
case 'sin':
|
||||
retval = _.parse(format('({0})/(({1})^2+({0})^2)', a, s));
|
||||
break;
|
||||
case 'cos':
|
||||
retval = _.parse(format('({1})/(({1})^2+({0})^2)', a, s));
|
||||
break;
|
||||
case 'sinh':
|
||||
retval = _.parse(format('({0})/(({1})^2-({0})^2)', a, s));
|
||||
break;
|
||||
case 'cosh':
|
||||
retval = _.parse(format('({1})/(({1})^2-({0})^2)', a, s));
|
||||
break;
|
||||
}
|
||||
} else {
|
||||
// Try to integrate for a solution
|
||||
// we need at least the Laplace integration depth
|
||||
const depthIsLower = core.Settings.integration_depth < core.Settings.Laplace_integration_depth;
|
||||
|
||||
let savedIntegrationDepth;
|
||||
if (depthIsLower) {
|
||||
savedIntegrationDepth = core.Settings.integration_depth; // Save the depth
|
||||
core.Settings.integration_depth = core.Settings.Laplace_integration_depth; // Transforms need a little more room
|
||||
}
|
||||
|
||||
core.Utils.block(
|
||||
'PARSE2NUMBER',
|
||||
() => {
|
||||
const u = t;
|
||||
const sym = symbol.sub(t, u);
|
||||
const integrationExpr = _.parse(`e^(-${s}*${u})*${sym}`);
|
||||
retval = Calculus.integrate(integrationExpr, u);
|
||||
if (retval.hasIntegral?.()) {
|
||||
retval = _.symfunction('laplace', [symbol, _.parse(String(t)), _.parse(String(s))]);
|
||||
return;
|
||||
}
|
||||
// _.error('Unable to compute transform');
|
||||
retval = retval.sub(t, 0);
|
||||
retval = /** @type {NerdamerSymbolType} */ (
|
||||
_.expand(_.multiply(retval, new NerdamerSymbol(-1)))
|
||||
);
|
||||
retval = retval.sub(u, t);
|
||||
},
|
||||
false
|
||||
);
|
||||
|
||||
retval = /** @type {NerdamerSymbolType} */ (
|
||||
core.Utils.block('PARSE2NUMBER', () => _.parse(retval), true)
|
||||
);
|
||||
|
||||
if (depthIsLower) // Put the integration depth as it was
|
||||
{
|
||||
core.Settings.integration_depth = savedIntegrationDepth;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
return /** @type {NerdamerSymbolType} */ (_.multiply(retval, coeff));
|
||||
},
|
||||
/**
|
||||
* @param {NerdamerSymbolType} symbol
|
||||
* @param {NerdamerSymbolType | string} s_
|
||||
* @param {NerdamerSymbolType | string} t
|
||||
* @returns {NerdamerSymbolType}
|
||||
*/
|
||||
inverse(symbol, s_, t) {
|
||||
const inputSymbol = symbol.clone();
|
||||
return core.Utils.block(
|
||||
'POSITIVE_MULTIPLIERS',
|
||||
() => {
|
||||
/** @type {NerdamerSymbolType | undefined} */
|
||||
let retval;
|
||||
// Expand and get partial fractions
|
||||
if (symbol.group === CB) {
|
||||
symbol = /** @type {NerdamerSymbolType} */ (
|
||||
/** @type {PartFracSubModuleType} */ (Algebra.PartFrac).partfrac(
|
||||
/** @type {NerdamerSymbolType} */ (_.expand(symbol)),
|
||||
s_
|
||||
)
|
||||
);
|
||||
}
|
||||
|
||||
if (symbol.group === S || symbol.group === CB || symbol.isComposite()) {
|
||||
/** @type {number | FracType} */
|
||||
let p;
|
||||
/** @type {FracType} */
|
||||
let denP;
|
||||
/** @type {NerdamerSymbolType} */
|
||||
let a;
|
||||
/** @type {NerdamerSymbolType | string} */
|
||||
let b;
|
||||
/** @type {NerdamerSymbolType} */
|
||||
let d;
|
||||
/** @type {string} */
|
||||
let exp;
|
||||
/** @type {DecomposeResultType} */
|
||||
let f2;
|
||||
/** @type {string | number} */
|
||||
let fact;
|
||||
// Remove the multiplier
|
||||
const m = symbol.multiplier.clone();
|
||||
symbol.toUnitMultiplier();
|
||||
// Get the numerator and denominator
|
||||
let num = symbol.getNum();
|
||||
const den = symbol.getDenom().toUnitMultiplier();
|
||||
|
||||
// TODO: Make it so factor doesn't destroy pi
|
||||
// num = core.Algebra.Factor.factor(symbol.getNum());
|
||||
// den = core.Algebra.Factor.factor(symbol.getDenom().invert(null, true));
|
||||
|
||||
if (den.group === CP || den.group === PL) {
|
||||
denP = /** @type {FracType} */ (den.power.clone());
|
||||
den.toLinear();
|
||||
} else {
|
||||
denP = new core.Frac(1);
|
||||
}
|
||||
|
||||
// Convert s to a string
|
||||
const s = s_.toString();
|
||||
// Split up the denominator if in the form ax+b
|
||||
/** @type {DecomposeResultType} */
|
||||
const f = core.Utils.decompose_fn(den, s, true);
|
||||
// Move the multiplier to the numerator
|
||||
/** @type {DecomposeResultType} */
|
||||
const _fe = core.Utils.decompose_fn(
|
||||
/** @type {NerdamerSymbolType} */ (_.expand(num.clone())),
|
||||
s,
|
||||
true
|
||||
);
|
||||
num.multiplier = num.multiplier.multiply(m);
|
||||
|
||||
const finalize = function () {
|
||||
// Put back the numerator
|
||||
retval = /** @type {NerdamerSymbolType} */ (_.multiply(retval, num));
|
||||
retval.multiplier = retval.multiplier.multiply(symbol.multiplier);
|
||||
// Put back a
|
||||
retval = /** @type {NerdamerSymbolType} */ (_.divide(retval, f.a));
|
||||
};
|
||||
|
||||
// Store the parts in variables for easy recognition
|
||||
// check if in the form t^n where n = integer
|
||||
if (
|
||||
(den.group === S || den.group === CB) &&
|
||||
f.x.value === s &&
|
||||
f.b.equals(0) &&
|
||||
core.Utils.isInt(f.x.power)
|
||||
) {
|
||||
p = /** @type {number} */ (/** @type {unknown} */ (f.x.power)) - 1;
|
||||
fact = core.Math2.factorial(p);
|
||||
// N!/s^(n-1)
|
||||
retval = /** @type {NerdamerSymbolType} */ (
|
||||
_.divide(_.pow(_.parse(String(t)), new NerdamerSymbol(p)), new NerdamerSymbol(fact))
|
||||
);
|
||||
// Wrap it up
|
||||
finalize();
|
||||
} else if (den.group === CP && denP.equals(1)) {
|
||||
if (f.x.group === core.groups.PL && Algebra.degree(den).equals(2)) {
|
||||
// Possibly in the form 1/(s^2+2*s+1)
|
||||
// Try factoring to get it in a more familiar form{
|
||||
// Apply inverse of F(s-a)
|
||||
/**
|
||||
* @type {{
|
||||
* f: NerdamerSymbolType;
|
||||
* a: NerdamerSymbolType;
|
||||
* h: NerdamerSymbolType;
|
||||
* c?: NerdamerSymbolType;
|
||||
* }}
|
||||
*/
|
||||
const completed = Algebra.sqComplete(den, s);
|
||||
const u = core.Utils.getU(den);
|
||||
// Get a for the function above
|
||||
a = core.Utils.decompose_fn(completed.a, s, true).b;
|
||||
const tf = __.LaPlace.inverse(
|
||||
_.parse(`1/((${u})^2+(${completed.c}))`),
|
||||
u,
|
||||
String(t)
|
||||
);
|
||||
retval = /** @type {NerdamerSymbolType} */ (
|
||||
_.multiply(tf, _.parse(`(${m})*e^(-(${a})*(${t}))`))
|
||||
);
|
||||
// A/(b*s-c) -> ae^(-bt)
|
||||
} else if (f.x.isLinear() && !num.contains(s)) {
|
||||
t = /** @type {NerdamerSymbolType | string} */ (
|
||||
_.divide(_.parse(String(t)), f.a.clone())
|
||||
);
|
||||
|
||||
// Don't add factorial of one or zero
|
||||
p = /** @type {number} */ (/** @type {unknown} */ (denP)) - 1;
|
||||
fact = p === 0 || p === 1 ? '1' : `(${denP}-1)!`;
|
||||
retval = _.parse(
|
||||
format(
|
||||
'(({0})^({3}-1)*e^(-(({2})*({0}))/({1})))/(({4})*({1})^({3}))',
|
||||
t,
|
||||
f.a,
|
||||
f.b,
|
||||
denP,
|
||||
fact
|
||||
)
|
||||
);
|
||||
// Wrap it up
|
||||
finalize();
|
||||
} else if (f.x.group === S && f.x.power.equals(2)) {
|
||||
if (num.contains(s)) {
|
||||
// A*s/(b*s^2+c^2)
|
||||
a = new NerdamerSymbol(1);
|
||||
if (num.group === CB) {
|
||||
/** @type {NerdamerSymbolType} */
|
||||
let newNum = new NerdamerSymbol(1);
|
||||
num.each(x => {
|
||||
if (x.contains(s)) {
|
||||
newNum = /** @type {NerdamerSymbolType} */ (_.multiply(newNum, x));
|
||||
} else {
|
||||
a = /** @type {NerdamerSymbolType} */ (_.multiply(a, x));
|
||||
}
|
||||
});
|
||||
num = newNum;
|
||||
}
|
||||
|
||||
// We need more information about the denominator to decide
|
||||
f2 = core.Utils.decompose_fn(num, s, true);
|
||||
const fn1 = f2.a;
|
||||
const fn2 = f2.b;
|
||||
const aHasSin = fn1.containsFunction('sin');
|
||||
const aHasCos = fn1.containsFunction('cos');
|
||||
const bHasCos = fn2.containsFunction('cos');
|
||||
const bHasSin = fn2.containsFunction('sin');
|
||||
if (
|
||||
f2.x.value === s &&
|
||||
f2.x.isLinear() &&
|
||||
!((aHasSin && bHasCos) || aHasCos || bHasSin)
|
||||
) {
|
||||
retval = _.parse(
|
||||
format(
|
||||
'(({1})*cos((sqrt(({2})*({3}))*({0}))/({2})))/({2})',
|
||||
t,
|
||||
f2.a,
|
||||
f.a,
|
||||
f.b
|
||||
)
|
||||
);
|
||||
} else if (aHasSin && bHasCos) {
|
||||
const sin = /** @type {NerdamerSymbolType} */ (fn1.findFunction?.('sin'));
|
||||
const cos = /** @type {NerdamerSymbolType} */ (fn2.findFunction?.('cos'));
|
||||
// Who has the s?
|
||||
if (sin?.args?.[0].equals(cos?.args?.[0]) && !sin?.args?.[0].contains(s)) {
|
||||
b = /** @type {NerdamerSymbolType} */ (
|
||||
_.divide(fn2, cos.toUnitMultiplier())
|
||||
).toString();
|
||||
const c = sin.args[0].toString();
|
||||
d = f.b;
|
||||
const e = _.divide(fn1, sin.toUnitMultiplier());
|
||||
exp =
|
||||
'(({1})*({2})*cos({3})*sin(sqrt({4})*({0})))/sqrt({4})+({1})*sin({3})*({5})*cos(sqrt({4})*({0}))';
|
||||
retval = _.parse(format(exp, t, a, b, c, d, e));
|
||||
}
|
||||
}
|
||||
} else {
|
||||
retval = _.parse(
|
||||
format(
|
||||
'(({1})*sin((sqrt(({2})*({3}))*({0}))/({2})))/sqrt(({2})*({3}))',
|
||||
t,
|
||||
num,
|
||||
f.a,
|
||||
f.b
|
||||
)
|
||||
);
|
||||
}
|
||||
}
|
||||
} else if (
|
||||
/** @type {FracType} */ (f.x.power).num &&
|
||||
/** @type {FracType} */ (f.x.power).num.equals(3) &&
|
||||
/** @type {FracType} */ (f.x.power).den.equals(2) &&
|
||||
num.contains('sqrt(pi)') &&
|
||||
!num.contains(s) &&
|
||||
num.isLinear()
|
||||
) {
|
||||
b = /** @type {NerdamerSymbolType} */ (_.divide(num.clone(), _.parse('sqrt(pi)')));
|
||||
retval = _.parse(format('(2*({2})*sqrt({0}))/({1})', t, f.a, b, num));
|
||||
} else if (denP.equals(2) && f.x.power.equals(2)) {
|
||||
if (num.contains(s)) {
|
||||
// Decompose the numerator to check value of s
|
||||
f2 = core.Utils.decompose_fn(
|
||||
/** @type {NerdamerSymbolType} */ (_.expand(num.clone())),
|
||||
s,
|
||||
true
|
||||
);
|
||||
if (f2.x.isComposite()) {
|
||||
/** @type {DecomposeResultType[]} */
|
||||
const sTerms = [];
|
||||
// First collect the factors e.g. (a)(bx)(cx^2+d)
|
||||
/** @type {DecomposeResultType[]} */
|
||||
const symbols = /** @type {DecomposeResultType[]} */ (
|
||||
num
|
||||
.collectSymbols(x => {
|
||||
x = NerdamerSymbol.unwrapPARENS(x);
|
||||
/** @type {DecomposeResultType} */
|
||||
const decomp = core.Utils.decompose_fn(x, s, true);
|
||||
decomp.symbol = x;
|
||||
return decomp;
|
||||
})
|
||||
// Then sort them by power hightest to lowest
|
||||
.sort((x1, x2) => {
|
||||
const p1 =
|
||||
/** @type {DecomposeResultType} */ (x1).x.value === s
|
||||
? /** @type {number} */ (
|
||||
/** @type {unknown} */ (
|
||||
/** @type {DecomposeResultType} */ (x1).x.power
|
||||
)
|
||||
)
|
||||
: 0;
|
||||
const p2 =
|
||||
/** @type {DecomposeResultType} */ (x2).x.value === s
|
||||
? /** @type {number} */ (
|
||||
/** @type {unknown} */ (
|
||||
/** @type {DecomposeResultType} */ (x2).x.power
|
||||
)
|
||||
)
|
||||
: 0;
|
||||
return p2 - p1;
|
||||
})
|
||||
);
|
||||
a = new NerdamerSymbol(-1);
|
||||
// Grab only the ones which have s
|
||||
for (let i = 0; i < symbols.length; i++) {
|
||||
const fc = symbols[i];
|
||||
if (fc.x.value === s) {
|
||||
sTerms.push(fc);
|
||||
} else {
|
||||
a = /** @type {NerdamerSymbolType} */ (_.multiply(a, fc.symbol));
|
||||
}
|
||||
}
|
||||
// The following 2 assumptions are made
|
||||
// 1. since the numerator was factored above then each s_term has a unique power
|
||||
// 2. because the terms are sorted by descending powers then the first item
|
||||
// has the highest power
|
||||
// We can now check for the next type s(s^2-a^2)/(s^2+a^2)^2
|
||||
if (
|
||||
sTerms[0].x.power.equals(2) &&
|
||||
sTerms[1].x.power.equals(1) &&
|
||||
sTerms[1].b.equals(0) &&
|
||||
!sTerms[0].b.equals(0)
|
||||
) {
|
||||
b = sTerms[0].a.negate();
|
||||
exp =
|
||||
'-(({1})*({2})*({5})*({0})*sin((sqrt(({4})*({5}))*({0}))/({4})))/' +
|
||||
'(2*({4})^2*sqrt(({4})*({5})))-(({1})*({3})*({0})*sin((sqrt(({4})*({5}))*({0}))/({4})))' +
|
||||
'/(2*({4})*sqrt(({4})*({5})))+(({1})*({2})*cos((sqrt(({4})*({5}))*({0}))/({4})))/({4})^2';
|
||||
retval = _.parse(format(exp, t, a, b, sTerms[0].b, f.a, f.b));
|
||||
}
|
||||
} else if (f2.x.isLinear()) {
|
||||
a = /** @type {NerdamerSymbolType} */ (_.divide(f2.a, new NerdamerSymbol(2)));
|
||||
exp =
|
||||
'(({1})*({0})*sin((sqrt(({2})*({3}))*({0}))/({2})))/(({2})*sqrt(({2})*({3})))';
|
||||
retval = _.parse(format(exp, t, a, f.a, f.b));
|
||||
} else if (f2.x.power.equals(2)) {
|
||||
if (f2.b.equals(0)) {
|
||||
a = /** @type {NerdamerSymbolType} */ (
|
||||
_.divide(f2.a, new NerdamerSymbol(2))
|
||||
);
|
||||
exp =
|
||||
'(({1})*sin((sqrt(({2})*({3}))*({0}))/({2})))/(({2})*sqrt(({2})*({3})))+(({1})*({0})*cos((sqrt(({2})*({3}))*({0}))/({2})))/({2})^2';
|
||||
retval = _.parse(format(exp, t, a, f.a, f.b));
|
||||
} else {
|
||||
a = /** @type {NerdamerSymbolType} */ (
|
||||
_.divide(f2.a, new NerdamerSymbol(2))
|
||||
);
|
||||
d = f2.b.negate();
|
||||
exp =
|
||||
'-((({2})*({4})-2*({1})*({3}))*sin((sqrt(({2})*({3}))*({0}))/({2})))/(2*({2})*({3})*sqrt(({2})*({3})))+' +
|
||||
'(({4})*({0})*cos((sqrt(({2})*({3}))*({0}))/({2})))/(2*({2})*({3}))+(({1})*({0})*cos((sqrt(({2})*({3}))*({0}))/({2})))/({2})^2';
|
||||
retval = _.parse(format(exp, t, a, f.a, f.b, d));
|
||||
}
|
||||
}
|
||||
} else {
|
||||
a = /** @type {NerdamerSymbolType} */ (_.divide(num, new NerdamerSymbol(2)));
|
||||
exp =
|
||||
'(({1})*sin((sqrt(({2})*({3}))*({0}))/({2})))/(({3})*sqrt(({2})*({3})))-(({1})*({0})*cos((sqrt(({2})*({3}))*({0}))/({2})))/(({2})*({3}))';
|
||||
retval = _.parse(format(exp, t, a, f.a, f.b));
|
||||
}
|
||||
} else if (symbol.isComposite()) {
|
||||
// 1/(s+1)^2
|
||||
if (denP.equals(2) && f.x.group === S) {
|
||||
retval = _.parse(`(${m})*(${t})*e^(-(${f.b})*(${t}))`);
|
||||
} else {
|
||||
retval = new NerdamerSymbol(0);
|
||||
|
||||
symbol = /** @type {NerdamerSymbolType} */ (
|
||||
/** @type {PartFracSubModuleType} */ (Algebra.PartFrac).partfrac(
|
||||
/** @type {NerdamerSymbolType} */ (_.expand(symbol)),
|
||||
s_
|
||||
)
|
||||
);
|
||||
|
||||
symbol.each(x => {
|
||||
retval = /** @type {NerdamerSymbolType} */ (
|
||||
_.add(retval, __.LaPlace.inverse(x, s_, t))
|
||||
);
|
||||
}, true);
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
retval ||= _.symfunction('ilt', [inputSymbol, _.parse(String(s_)), _.parse(String(t))]);
|
||||
|
||||
return /** @type {NerdamerSymbolType} */ (retval);
|
||||
},
|
||||
true
|
||||
);
|
||||
},
|
||||
},
|
||||
Statistics: {
|
||||
/**
|
||||
* @param {NerdamerSymbolType[]} arr
|
||||
* @returns {Record<string, number>}
|
||||
*/
|
||||
frequencyMap(arr) {
|
||||
/** @type {Record<string, number>} */
|
||||
const map = {};
|
||||
// Get the frequency map
|
||||
for (let i = 0, l = arr.length; i < l; i++) {
|
||||
const e = arr[i];
|
||||
const key = e.toString();
|
||||
map[key] ||= 0; // Default it to zero
|
||||
map[key]++; // Increment
|
||||
}
|
||||
return map;
|
||||
},
|
||||
/**
|
||||
* @param {NerdamerSymbolType[]} arr
|
||||
* @returns {NerdamerSymbolType[]}
|
||||
*/
|
||||
sort(arr) {
|
||||
return arr.sort((a, b) => {
|
||||
if (!a.isConstant() || !b.isConstant()) {
|
||||
_.error('Unable to sort! All values must be numeric');
|
||||
}
|
||||
return /** @type {number} */ (/** @type {unknown} */ (a.multiplier.subtract(b.multiplier)));
|
||||
});
|
||||
},
|
||||
/**
|
||||
* @param {NerdamerSymbolType[]} arr
|
||||
* @returns {NerdamerSymbolType}
|
||||
*/
|
||||
count(arr) {
|
||||
return new NerdamerSymbol(arr.length);
|
||||
},
|
||||
/**
|
||||
* @param {NerdamerSymbolType[]} arr
|
||||
* @param {NerdamerSymbolType} [x_]
|
||||
* @returns {NerdamerSymbolType}
|
||||
*/
|
||||
sum(arr, x_) {
|
||||
/** @type {NerdamerSymbolType} */
|
||||
let sum = new NerdamerSymbol(0);
|
||||
for (let i = 0, l = arr.length; i < l; i++) {
|
||||
const xi = arr[i].clone();
|
||||
if (x_) {
|
||||
sum = /** @type {NerdamerSymbolType} */ (
|
||||
_.add(_.pow(_.subtract(xi, x_.clone()), new NerdamerSymbol(2)), sum)
|
||||
);
|
||||
} else {
|
||||
sum = /** @type {NerdamerSymbolType} */ (_.add(xi, sum));
|
||||
}
|
||||
}
|
||||
|
||||
return sum;
|
||||
},
|
||||
/**
|
||||
* @param {...NerdamerSymbolType} args
|
||||
* @returns {NerdamerSymbolType}
|
||||
*/
|
||||
mean(...args) {
|
||||
// Handle arrays
|
||||
if (isVector(args[0])) {
|
||||
return __.Statistics.mean(.../** @type {NerdamerSymbolType[]} */ (args[0].elements));
|
||||
}
|
||||
return /** @type {NerdamerSymbolType} */ (_.divide(__.Statistics.sum(args), __.Statistics.count(args)));
|
||||
},
|
||||
/**
|
||||
* @param {...NerdamerSymbolType} args
|
||||
* @returns {NerdamerSymbolType}
|
||||
*/
|
||||
median(...args) {
|
||||
/** @type {NerdamerSymbolType} */
|
||||
let retval;
|
||||
// Handle arrays
|
||||
if (isVector(args[0])) {
|
||||
return __.Statistics.median(.../** @type {NerdamerSymbolType[]} */ (args[0].elements));
|
||||
}
|
||||
try {
|
||||
const sorted = __.Statistics.sort(args);
|
||||
const l = args.length;
|
||||
if (core.Utils.even(l)) {
|
||||
const mid = l / 2;
|
||||
retval = __.Statistics.mean(sorted[mid - 1], sorted[mid]);
|
||||
} else {
|
||||
retval = sorted[Math.floor(l / 2)];
|
||||
}
|
||||
} catch (e) {
|
||||
if (/** @type {Error} */ (e).message === 'timeout') {
|
||||
throw e;
|
||||
}
|
||||
retval = _.symfunction('median', args);
|
||||
}
|
||||
return retval;
|
||||
},
|
||||
/**
|
||||
* @param {...NerdamerSymbolType} args
|
||||
* @returns {NerdamerSymbolType}
|
||||
*/
|
||||
mode(...args) {
|
||||
/** @type {NerdamerSymbolType} */
|
||||
let retval;
|
||||
// Handle arrays
|
||||
if (isVector(args[0])) {
|
||||
return __.Statistics.mode(.../** @type {NerdamerSymbolType[]} */ (args[0].elements));
|
||||
}
|
||||
|
||||
const map = __.Statistics.frequencyMap(args);
|
||||
|
||||
// The mode of 1 item is that item as per issue #310 (verified by Happypig375).
|
||||
if (core.Utils.keys(map).length === 1) {
|
||||
retval = args[0];
|
||||
} else {
|
||||
// Invert by arraning them according to their frequency
|
||||
/** @type {Record<number, string | string[]>} */
|
||||
const inverse = {};
|
||||
for (const x in map) {
|
||||
if (!Object.hasOwn(map, x)) {
|
||||
continue;
|
||||
}
|
||||
const freq = map[x];
|
||||
// Check if it's in the inverse already
|
||||
if (freq in inverse) {
|
||||
const e = inverse[freq];
|
||||
// If it's already an array then just add it
|
||||
if (isArray(e)) {
|
||||
e.push(x);
|
||||
}
|
||||
// Convert it to and array
|
||||
else {
|
||||
inverse[freq] = [x, /** @type {string} */ (inverse[freq])];
|
||||
}
|
||||
} else {
|
||||
inverse[freq] = x;
|
||||
}
|
||||
}
|
||||
// The keys now represent the maxes. We want the max of those keys
|
||||
const keyNums = core.Utils.keys(inverse).map(k => Number(k));
|
||||
const maxKey = Math.max.apply(null, keyNums);
|
||||
const max = inverse[maxKey];
|
||||
// Check it's an array. If it is then map over the results and convert
|
||||
// them to NerdamerSymbol
|
||||
if (isArray(max)) {
|
||||
retval = _.symfunction(
|
||||
'mode',
|
||||
max.sort().map(v => _.parse(v))
|
||||
);
|
||||
} else {
|
||||
retval = _.parse(/** @type {string} */ (max));
|
||||
}
|
||||
}
|
||||
|
||||
return retval;
|
||||
},
|
||||
/**
|
||||
* @param {NerdamerSymbolType} k
|
||||
* @param {NerdamerSymbolType[]} args
|
||||
* @returns {NerdamerSymbolType}
|
||||
*/
|
||||
gVariance(k, args) {
|
||||
const x_ = __.Statistics.mean(...args);
|
||||
const sum = __.Statistics.sum(args, x_);
|
||||
return /** @type {NerdamerSymbolType} */ (_.multiply(k, sum));
|
||||
},
|
||||
/**
|
||||
* @param {...NerdamerSymbolType} args
|
||||
* @returns {NerdamerSymbolType}
|
||||
*/
|
||||
variance(...args) {
|
||||
// Handle arrays
|
||||
if (isVector(args[0])) {
|
||||
return __.Statistics.variance(.../** @type {NerdamerSymbolType[]} */ (args[0].elements));
|
||||
}
|
||||
const k = /** @type {NerdamerSymbolType} */ (
|
||||
_.divide(new NerdamerSymbol(1), __.Statistics.count(args))
|
||||
);
|
||||
return __.Statistics.gVariance(k, args);
|
||||
},
|
||||
/**
|
||||
* @param {...NerdamerSymbolType} args
|
||||
* @returns {NerdamerSymbolType}
|
||||
*/
|
||||
sampleVariance(...args) {
|
||||
// Handle arrays
|
||||
if (isVector(args[0])) {
|
||||
return __.Statistics.sampleVariance(.../** @type {NerdamerSymbolType[]} */ (args[0].elements));
|
||||
}
|
||||
|
||||
const k = /** @type {NerdamerSymbolType} */ (
|
||||
_.divide(new NerdamerSymbol(1), _.subtract(__.Statistics.count(args), new NerdamerSymbol(1)))
|
||||
);
|
||||
return __.Statistics.gVariance(k, args);
|
||||
},
|
||||
/**
|
||||
* @param {...NerdamerSymbolType} args
|
||||
* @returns {NerdamerSymbolType}
|
||||
*/
|
||||
standardDeviation(...args) {
|
||||
// Handle arrays
|
||||
if (isVector(args[0])) {
|
||||
return __.Statistics.standardDeviation(.../** @type {NerdamerSymbolType[]} */ (args[0].elements));
|
||||
}
|
||||
return /** @type {NerdamerSymbolType} */ (
|
||||
_.pow(__.Statistics.variance(...args), new NerdamerSymbol(1 / 2))
|
||||
);
|
||||
},
|
||||
/**
|
||||
* @param {...NerdamerSymbolType} args
|
||||
* @returns {NerdamerSymbolType}
|
||||
*/
|
||||
sampleStandardDeviation(...args) {
|
||||
// Handle arrays
|
||||
if (isVector(args[0])) {
|
||||
return __.Statistics.sampleStandardDeviation(
|
||||
.../** @type {NerdamerSymbolType[]} */ (args[0].elements)
|
||||
);
|
||||
}
|
||||
return /** @type {NerdamerSymbolType} */ (
|
||||
_.pow(__.Statistics.sampleVariance(...args), new NerdamerSymbol(1 / 2))
|
||||
);
|
||||
},
|
||||
/**
|
||||
* @param {NerdamerSymbolType} x
|
||||
* @param {NerdamerSymbolType} mean
|
||||
* @param {NerdamerSymbolType} stdev
|
||||
* @returns {NerdamerSymbolType}
|
||||
*/
|
||||
zScore(x, mean, stdev) {
|
||||
return /** @type {NerdamerSymbolType} */ (_.divide(_.subtract(x, mean), stdev));
|
||||
},
|
||||
},
|
||||
Units: {
|
||||
table: {
|
||||
foot: '12 inch',
|
||||
meter: '100 cm',
|
||||
decimeter: '10 cm',
|
||||
},
|
||||
},
|
||||
});
|
||||
|
||||
nerdamer.register([
|
||||
{
|
||||
name: 'laplace',
|
||||
visible: true,
|
||||
numargs: 3,
|
||||
build() {
|
||||
return __.LaPlace.transform;
|
||||
},
|
||||
},
|
||||
{
|
||||
name: 'ilt',
|
||||
visible: true,
|
||||
numargs: 3,
|
||||
build() {
|
||||
return __.LaPlace.inverse;
|
||||
},
|
||||
},
|
||||
// Statistical
|
||||
{
|
||||
name: 'mean',
|
||||
visible: true,
|
||||
numargs: -1,
|
||||
build() {
|
||||
return __.Statistics.mean;
|
||||
},
|
||||
},
|
||||
{
|
||||
name: 'median',
|
||||
visible: true,
|
||||
numargs: -1,
|
||||
build() {
|
||||
return __.Statistics.median;
|
||||
},
|
||||
},
|
||||
{
|
||||
name: 'mode',
|
||||
visible: true,
|
||||
numargs: -1,
|
||||
build() {
|
||||
return __.Statistics.mode;
|
||||
},
|
||||
},
|
||||
{
|
||||
name: 'smpvar',
|
||||
visible: true,
|
||||
numargs: -1,
|
||||
build() {
|
||||
return __.Statistics.sampleVariance;
|
||||
},
|
||||
},
|
||||
{
|
||||
name: 'variance',
|
||||
visible: true,
|
||||
numargs: -1,
|
||||
build() {
|
||||
return __.Statistics.variance;
|
||||
},
|
||||
},
|
||||
{
|
||||
name: 'smpstdev',
|
||||
visible: true,
|
||||
numargs: -1,
|
||||
build() {
|
||||
return __.Statistics.sampleStandardDeviation;
|
||||
},
|
||||
},
|
||||
{
|
||||
name: 'stdev',
|
||||
visible: true,
|
||||
numargs: -1,
|
||||
build() {
|
||||
return __.Statistics.standardDeviation;
|
||||
},
|
||||
},
|
||||
{
|
||||
name: 'zscore',
|
||||
visible: true,
|
||||
numargs: 3,
|
||||
build() {
|
||||
return __.Statistics.zScore;
|
||||
},
|
||||
},
|
||||
]);
|
||||
|
||||
// Link registered functions externally
|
||||
nerdamer.updateAPI();
|
||||
})();
|
||||
|
||||
// Added for all.min.js
|
||||
if (typeof module !== 'undefined') {
|
||||
module.exports = nerdamer;
|
||||
}
|
||||
21
tools/ui/src/lib/vendors/nerdamer-prime/LICENSE
vendored
Normal file
21
tools/ui/src/lib/vendors/nerdamer-prime/LICENSE
vendored
Normal file
@@ -0,0 +1,21 @@
|
||||
MIT License
|
||||
|
||||
Copyright (c) 2023 together-science
|
||||
|
||||
Permission is hereby granted, free of charge, to any person obtaining a copy
|
||||
of this software and associated documentation files (the "Software"), to deal
|
||||
in the Software without restriction, including without limitation the rights
|
||||
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
|
||||
copies of the Software, and to permit persons to whom the Software is
|
||||
furnished to do so, subject to the following conditions:
|
||||
|
||||
The above copyright notice and this permission notice shall be included in all
|
||||
copies or substantial portions of the Software.
|
||||
|
||||
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
|
||||
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
|
||||
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
|
||||
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
|
||||
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
|
||||
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
|
||||
SOFTWARE.
|
||||
2370
tools/ui/src/lib/vendors/nerdamer-prime/Solve.js
vendored
Normal file
2370
tools/ui/src/lib/vendors/nerdamer-prime/Solve.js
vendored
Normal file
File diff suppressed because it is too large
Load Diff
16
tools/ui/src/lib/vendors/nerdamer-prime/all.js
vendored
Normal file
16
tools/ui/src/lib/vendors/nerdamer-prime/all.js
vendored
Normal file
@@ -0,0 +1,16 @@
|
||||
/*
|
||||
* Author : Martin Donk
|
||||
* Website : http://www.nerdamer.com
|
||||
* Email : martin.r.donk@gmail.com
|
||||
* Source : https://github.com/jiggzson/nerdamer
|
||||
* Can be used to load all add-ons with one require
|
||||
*/
|
||||
|
||||
const nerdamer = require('./nerdamer.core.js');
|
||||
require('./Algebra.js');
|
||||
require('./Calculus.js');
|
||||
require('./Solve.js');
|
||||
require('./Extra.js');
|
||||
|
||||
// Export nerdamer
|
||||
module.exports = nerdamer;
|
||||
261
tools/ui/src/lib/vendors/nerdamer-prime/constants.js
vendored
Normal file
261
tools/ui/src/lib/vendors/nerdamer-prime/constants.js
vendored
Normal file
@@ -0,0 +1,261 @@
|
||||
/*
|
||||
* Mathematical constants for nerdamer
|
||||
* This file contains precomputed values and mathematical constants
|
||||
* used throughout the library.
|
||||
*/
|
||||
|
||||
/**
|
||||
* Container of pregenerated prime numbers up to 2083 This array is used as a cache and can be extended at runtime by
|
||||
* functions like generatePrimes()
|
||||
*/
|
||||
const PRIMES = [
|
||||
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109,
|
||||
113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239,
|
||||
241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379,
|
||||
383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521,
|
||||
523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661,
|
||||
673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827,
|
||||
829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991,
|
||||
997, 1009, 1013, 1019, 1021, 1031, 1033, 1039, 1049, 1051, 1061, 1063, 1069, 1087, 1091, 1093, 1097, 1103, 1109,
|
||||
1117, 1123, 1129, 1151, 1153, 1163, 1171, 1181, 1187, 1193, 1201, 1213, 1217, 1223, 1229, 1231, 1237, 1249, 1259,
|
||||
1277, 1279, 1283, 1289, 1291, 1297, 1301, 1303, 1307, 1319, 1321, 1327, 1361, 1367, 1373, 1381, 1399, 1409, 1423,
|
||||
1427, 1429, 1433, 1439, 1447, 1451, 1453, 1459, 1471, 1481, 1483, 1487, 1489, 1493, 1499, 1511, 1523, 1531, 1543,
|
||||
1549, 1553, 1559, 1567, 1571, 1579, 1583, 1597, 1601, 1607, 1609, 1613, 1619, 1621, 1627, 1637, 1657, 1663, 1667,
|
||||
1669, 1693, 1697, 1699, 1709, 1721, 1723, 1733, 1741, 1747, 1753, 1759, 1777, 1783, 1787, 1789, 1801, 1811, 1823,
|
||||
1831, 1847, 1861, 1867, 1871, 1873, 1877, 1879, 1889, 1901, 1907, 1913, 1931, 1933, 1949, 1951, 1973, 1979, 1987,
|
||||
1993, 1997, 1999, 2003, 2011, 2017, 2027, 2029, 2039, 2053, 2063, 2069, 2081, 2083,
|
||||
];
|
||||
|
||||
/** Set representation of PRIMES for O(1) lookup This object is used as a cache and can be extended at runtime */
|
||||
/** @type {Record<number, boolean>} */
|
||||
const PRIMES_SET = {};
|
||||
for (const p of PRIMES) {
|
||||
PRIMES_SET[p] = true;
|
||||
}
|
||||
|
||||
/** High precision value of Pi (200 decimal places) Used for high-precision calculations */
|
||||
const LONG_PI =
|
||||
'3.14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706798214' +
|
||||
'808651328230664709384460955058223172535940812848111745028410270193852110555964462294895493038196';
|
||||
|
||||
/** High precision value of Euler's number e (200 decimal places) Used for high-precision calculations */
|
||||
const LONG_E =
|
||||
'2.718281828459045235360287471352662497757247093699959574966967627724076630353547594571382178525166427427466' +
|
||||
'39193200305992181741359662904357290033429526059563073813232862794349076323382988075319525101901';
|
||||
|
||||
/**
|
||||
* Precomputed high-precision fraction values for the bigLog function. These are used for arbitrary-precision logarithm
|
||||
* calculations. Each entry is a string representation of a high-precision rational number.
|
||||
*/
|
||||
const BIG_LOG_CACHE = [
|
||||
'-253631954333118718762629409109262279926288908775918712466601196032/39970093576053625963957478139049824030906352922262642968060706375',
|
||||
'0',
|
||||
'24553090145869607172412918483124184864289170814122579923404694986469653261608528681589949629750677407356463601998534945057511664951799678336/35422621391945757431676178435630229283255250779216421054188228659061954317501699707236864189383591478024245495110561124597124995986978302375',
|
||||
'369017335340917140706044240090243368728616279239227943871048759140274862131699550043150713059889196223917527172547/335894053932612728969975338549993764554481173661218585876475837409922537622385232776657791604345125227005476864000',
|
||||
'24606853025626737903121303930100462245506322607985779603220820323211395607931699126390918477501325805513849611930008427268176602460462988972957593458726734897129954728102144/17750092415977639787139561330326170936321452137635322313122938207611787444311735251389066106937796085669460151963285086542745859461943369606018450213014148175716400146484375',
|
||||
'399073568781976806715759409052286641738926636328983929439450824555613704676637191564699164303012247386095942144825603522401740680808466858044/247958349743620302021733249049411604982786755454514947379317600613433680222511897950658049325685140346169718465773927872179874971908848116625',
|
||||
'1468102989495846944084741146947295378041808701256909016224309866143294556551407470861354311593351276612463858816796714569499021375899793849136855085849133702029337910502448189055357182595424959360/819363879309286303497217527375463120404739098260200279520788950777458900438307356738082930586032462601215802636320993648007907724899611296693997216938989854861043298494990214825163523387600982777',
|
||||
'5896704855274661767824574093605344871722790278354431422729640950821239030785642943033153793245906863203822369276271050164634206965056233097479117980782641839669/3030306850569309344013726745100070601277982132543905537366562638553198167007159067544789592089960911065181606283478843359856123992707598685058297067179343872000',
|
||||
'76631772943534985713873427262830314617912556928476573358548256872141516989538374761909611879922349479420014771499018155447198112155515453671128814488139633810493264352294560043912066253026059140653027326566801398784/36852092933388988649396042883218509607503204211148493545892849595498822817623842579026942621098851631842754395231561679671400197056377380063233740202370686144673585955581403046886083948450136247134308381940165804875',
|
||||
'3159076083816399509754948610929467278257473888282947311280653574634802580912280940686954763313882823327077171624015737719617373932318151594325834524000275847475866299387913048/1437757485694188822758304467756419845842037623148461107362957994816554782989250555362514354661961482939226272309026092009962414616417412938087494467254146002233028411865234375',
|
||||
'22266067259907364984531611601870291368272674573653403965630628996687370994139884833897773468149149664829922302484782423514167405397665098388400450149078982462318781750661005833037235183394221496186539779712428265837926417581952/9670030144664428565128962309657100138096047028794689249320859276197340398920725569428532293373676415359965773460364494998334259893079003125373872108770534788283842907318071170285038777091588292539102269617376180390982915567375',
|
||||
'14604654564989239958569331443385369522850975185358647132770022716433280072271007767111036877803328768910274400515590151934676819262085211828028638417329558229123989556376108454497813055/6090614019162516693013973409650613208227889078878781039105047015752493519149314227721984436973374032279421344818329285207124280297611253861173835238379831004010748379874393292231671808',
|
||||
'1901241885407696031217292877862925220917660047127261026827869027159993239567933534052663335498281439239753018507182016153657409777749792228538380379703411298411623469292891476969894084838876001545818141543890273256985768690847587711270930688/765116019778838839812655402103512685695769161212360553099732689795578904762091216998790589926057819838537805856579109910198553330075924857419395160755642371550113347465300208422126945265887065434116781678702741657275181694851670325469434625',
|
||||
'139459806786604751793737926146840623607010208216289543036026206208962059593900745886202214788747453279179283344350478734275973878932538430194363355795823581315329311220701640235653288975569812161436/54371368534412517053056101353618694718215711767266376573138772968257303578467926450212293233332401067673270853953399269852376592855992724934941173346260129257754416412476202526978443681584633116375',
|
||||
'1045669091124493070709683241190022970908640501171378776604126771144008324358233819560649021940145166254659028524319517244711645162132513416238958170819347361185944945680269442845829390112062101255500836072082817820950448463314034677353723256969344/396228259004446234921310936915931611736815598535963504660076315228798989932959459406702091180060429080345146735173591749448509810270759531977278642135591672189002006272326131885315743181289970885337574780897529347356567086535505950450897216796875',
|
||||
'9912919238915437302006264477931031611447467070103973106567538528951878797932559935860738745374437522819124347510590800370471910492338584284092534264608801221235029062881964101996762011296996851893455828946521/3660537472668264151218961634689665210933936249986285290553357254224360417386515311493310199319523687171757653216994741150377508234317025158302057758196429623723072084157928224798322861732880034847243894784000',
|
||||
'9263710175433181746575186369318246002919895649622127410824041370079225200282403368319370743363303164313395723904510539050157032684710468364067204876434546848634842333436957245275217583248805993142227630297924119330553308466662488683624783307023014909360640/3341177182697517248552428837661919299725031035849865632511882688786226888137634168024976033652753689210700218163621739078534353578510364301481093730054725078138658805025014615651043313990684347632166030359086885561104034510990826655289288319840595753002771',
|
||||
'5116082230713622171832327542439052727465114322479570603905499496221224653983960598946033081212909066917137546065542953865612718836914393275681318667667521726785633638189373998191090501201427906618075889744489190209584/1805752553736060443820406101277706970767657006346276183748749630179442318063568286372320188433843729960294965366346522303898609655762491623098453269916163621089005711823488749297418113474056676109581110715068124438875',
|
||||
'246569125619713282434448566970352231845414317018379160824176638351574938993535464763890962336882760882398479702237564384291290459961036068916857265499633061660562532011248501476114401629839742058389195725393702000011860799793778295606988057303225493814005789533570432/85307063020836305797178273029353623060860009152114361453434032434699636078115114412588719432277441055049132559782203988387794711585368296817222565434951256788867244687081233632650953850383220864394261763844194948389861147622944651546912394593164406926489862036343375',
|
||||
'133672026303452911046163998480860917119290576658330909785707604886881155606725822685088929236266583416708668502760907677019598002175122453170574729028452721476464728566191464897928696630979863154661704374206171469014225143/45398130975270785045482567762871405072140548998125471025451666500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000',
|
||||
'6041693953360002800224091673336562508913199995987479264605216252220579740134601435770085920869376641180763419907442721705887169884230643795126568815123647603047739799302562095542459344811429882053086550900803768964612193941424128649976704727183797495759082741166938351872/2016766992122395667828553277997478570503475626107286343497917705446132017125079612756035254750822860815515899557855166824523851779156336235294914777307802256439645525835223691751931866188957324792276149549076500784191791380803500156776088683900346065830066370370083309875',
|
||||
'705868391597244582764749229356331441978820024796066870551110486625729826111158236686696326058778874201639006234449557592353247542995871491078308187261304930042019640830629526023972693107193897009168955674240659026247094657679060/231848642748474339277532000336338632910990823562381469441716922006107433404523316252618490265927265734670539384485699132080062215196462178933963957679882342083893417545858074378754089719547920901917516016346211301054206383643383',
|
||||
'101832160604157943093944673541651013907278188571533075311673249923948856034633446617630054761681006062910980371900782781226979391765818325065031889334563981235894369036439929651260587335544056975715076598739977065390678221999918899003881778449092038750712969437519295878491018112/32944277910571666002449086492515464541550138004002141571670657643770713783329063548790202120805341989608877739811787937782240802963962520261844114327432160788193314874913687387269408387417806176202979244637915812905426565263196954203487934225589622864145960079736633434831996625',
|
||||
'10655703119271468913597640479490594180964700448340778168715956712130636958373270202484276402718566314881119559090842449610957974112230306343486091910217340665146602598568991520563987490686996746558858366002301982443029430290679385551/3398412687366638541233365137084722368200311117891192348532156645374786104142009695796409107380345795998400850838706661851176885183144928701608654514812261697598380070746520197171576610572921007069104300695592751543563472456384512000',
|
||||
'1903039332876763837419920240543738799531131775028971323439870868730321221615515008394327723508670975623498588291298064320786970626232668956372004004897872810230178526101184611242511193415796638694370503100219710864543168952682617801833318493436174387568067811938490953495819438108686336/598806534367503338307287246320963280558134937382149405305466709787179429317914803617527827862441615350396864359976273212272586892074799651088317544101755361439294687323233086696182687664637422796995789967075271448560870681210580691574924544896656175563265378514188341796398162841796875',
|
||||
'525573915563826130963525826191411949262846916750432019596028344808298471293378917508549164993368392834023782480702893643486699787870059946429810070222126260200026332874480239090370088123833491499400991181659445914352500247596757005142623368/163278727324937389095822405034435687776345799835442022795533783889356344755225815267819508608559076191292900367982490827396869405536484846115955581043091229202052407483776587687967125885665493681707461345895999542381476164157058393971431375',
|
||||
'9263815657177858787273494705338516861045771674838057329170239610953039987023429736752079544014780707408666628475997291124805562998227296677616204140605356257712022384368492575381355563976330347792504605666631512343447560301417325154003481040250148561839861837778597346623630046623751094400/2843321709948499955095590862256744532227698001408929142548057792217790532624003190447363578048562448168721539177458065482170148482375585867230123873178100117094533143052886527452665480614620123764036974180917207421482431983407742154634391264619615289225747664532332469783301704643254076601',
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||||
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'228506238533410805238253122961471637501498406104430046727793420497895852412513560203475440156216063574654372726194215013407325207763369075250819386897086702757125418327084312933061738392406321003231853349865003322697360659712771167066453430309997639548320673279964210730701373707765051246595806673865646607841876463608039111252607452843372970797479959213447237540830563469297144446069689149549515457318899981763489792/44418759813188470246596822974281932219088697005123285598909329328419879212164564561558656547678211265529803086702843380128457744445765859393426675396393053094588240457569380155526179040891009717323059641035189017918495485630657360525410506453554255734005459614858972904374739673834145083512160883402151636664208253116362089211658645312778404886460203600762546810897889629330022309705583438699250109493732452392578125',
|
||||
'2396110297187570506257836426251930521245117960980667897194680897478996322590925380310917400763581787981992131769075961259393685331523600287377841990678117113566991100720996059187144934569703045966210306282348527729533806882408323961336166190162075154579344185244957673138372347997134388801085788353482276257401005734929059700346687783400772331280644647089520646562669857652648/465370154262863030800729180763091967573522779260407615567563274096037297593764955820626213827962697601334935773802201919483657310282236100250543992334865461800976838791035335861420892967699843608855185710753433852279737724446294443337363478679601049432404435672469098850676302728116369979460222148206944323730586138087862719386327396334468302608499235112520318322763857676375',
|
||||
'1188272888075247520453568790651819187486389546755745961952033150576243575862120569399808467067800830890874391487822723879717525264875722720416173276963170672622214121308038530968291758445510982186014289745026439477197148445087614813262170975056866881909056450023324743409114115141145340480846088869807540798073417035168139476153897066325127540609756310068558610112731607522096096821938163134080426356894899245575410494080/230586762395914863625709048789913840511134004337945700368117795195769576856434588144361459740833007125516905017415184787078710001969815416281381427387949263792200577791644278234661952852149216540491852757174842146376788280677956350901082838474705227642420261641783722891948710833898248566893322144435457967452449965772543077421407816225704952270697016152452032506898311260979594550143344971416786595888053149375287120733',
|
||||
'1072184299258468249004114536023934869518152618369895613271618698908405514630154819453979477077738526673716264830106745031385951736108376866253955319711026042389282009348594845497252059906901748860111986811345742998968284077119165082435598381810306691078037018432766116865792677955520465319184311529667642995217214507658693259694586107847099911341219913576038605872218680562047/207882129535607118520818565811162643811811563516006836924341123976848022970024793004700710992938987476728640943834012473687892481059618823520721737479364352887178017866425027953255856440099446112508663603319745066750522936408781591578321031173620445865113295407603090322283539974563690157418931060565698315406021569491751612761888641141446406531645379264720684248398299136000',
|
||||
'158094023904374464057702010126993231151433474361820266584020400101533651587072432728050776506672527718975042616651177034635188178967462982926261516748842073587981953038445977514446838733557926696939591069712397947055261777416704028506441173540338327591514650398349069348381309688677335132100441905603664282735310299686268721634369502296867409514777359935022301425165750780988231639828675424239931533849896744198012747670272/30626384366513923671063955469537776291182594080083494737341604579575446319190916924682809546024369330706012653799783122328775875399363759308193432327358837772825609356553955350401725689682838701996446404559005896479618311357573203081153855961484398360670837599853294627153740224543175497655414585918231215639906924313779933211774291565425360415684556655021031131349317390382320286092667852173815259422737956767922154798375',
|
||||
'12216278924286401897470540169822542417611356797676160128176706721343511598951866107858729405615631246003458062949723290192242594609994613705183460814797527214549142043573863947658832694800184691222426521703728394203722420336773310908687071670107794543022567943478843065246011544888390757810534211554666736239506503613750756246364621509359804902243487113673014588325806249988332/2364584127734680580481708368927921125934330000162935118371174269642831409084634375654239735054363928748162229294829526339927907778510530444646754603322373712788147193691037688552857183116332292048731726305451516954679277320777955342295564000586923227775208580772868590742136150431152495718132142742153643081187691849828217592954519485869135930755646768375299870967864990234375',
|
||||
'578939195017447864385837341975558679292903716580114421030538728778491606282153588930983966100514147976321305616196463174070345884292672842497715966933722088536619333912687108737657068701352918582656105418491672377271304970407730786932913490869797471081081431072836814581099271832696990064828717287258860166842791984158634684078346453202928137987930328826212011774670396356151265781053547412633310327737900786639842674288716416/111966291649651600701875186827360807558960817589719096407887999108024557254221008849510152469119211567152616745769256123968832250104006560061907741567034087109512483357851919402017950812795426393415409198268246337542639470834168040295134130657073201020340432236723824670803498949071870597039309004562024033656488150406105175401372709011082725359382691270659245312133919518760328422827067578306005644825927050994860723405473375',
|
||||
'8041514821545833865350873212853873042112343327573364523948780030849543753072688526717886590013028227714585965095216381829914996539132359247488639692828639170075726301411777307168737667077730792892326979446426349813642680537699905651125068091362135055902152994216233622733424128982011248923051410141033146604688083721413402395290842738021365861670415833356403364696759583009635/1553937833499559104910551811592138833189892464446761247731330672284191313590708439680460540329836344767557599746234213006493842842879398684745864919973051635127080738612248150108793397855113122368507483429209127035263504194847798809612278864438287815470711036548695032421148125849669175729331459149833945183228413961985381338162155596008680906676498435954178226973272371625984',
|
||||
'12059659399309169167301353842123191409306995788633965680414620302285606896146667751472818541537183787935352700725982053536032930866708413010971856856768384974849695774437178790890015242323873769697407411558706626105140596160049735605389301414460825674631122462760014451298494875244754354054447697502521388381253293175367558014453865905104467382184997528879171136492277222127399012368677604910497789360212571238146627048080568400384/2328494054002703067219004484782931471919751585969487160602269605916676223315055450845942763690581877771159615428854802721943114463834992106300185328876910271612375509166975628540839858771078495267566008071532876816826751069408153323840515037497664871689085370699991860738368371510578076683395101062439493831773194498579620513073693022191702398601471237166387045790480861932005012807234071429628725981935147069738988682858417182625',
|
||||
'683009426705008850682549700382901603742691705123356866338951397347368059105140826655486518416578697931244347554322654428162554903861783227680935341690740579867651545205562690172425016836559678937794312287639193745517811234257062356826622207475918293015140472942579713388671782202262396642735640315948612572908444501108579457520714632371056288874351015666995549139003946314085696/131769214246522869780429817236150406548549044658474416909806179734873399109656411633488099249198882165279745627038984487365589625562901914030850178330133080409420340227179447548044572594184601425691821617928130423410997853384425373999967759499571890326740433081063424903098252502791477854302204200941376983295622430177445507316706609802292121282957519571162158620971952084486375',
|
||||
'1418116259749091420309271913909337143756589314597557128553117870573928055109322864794169592355058370891251425125187770724828108988587888087023982451205475980371440423992838481547236638456717520835668859093413956339261802305597694403381021863258753441889536361061407579332570493634254542013337999844407181346815549594836374497512447969751514466481466717590255369810506813543577735080228718660747940956248427356785784199073569408/273368882980516556922532339653303822104510203916024760371844491705599093435133738774975538364241630079468712981056336655766117378160822393876348755370711942273876284944422610974149712212944211513462921649872232656449940987552227525504529710373144228818606127541937831103642415534318303187393593236209298242574677293352798419428712873685798636474667204083938875672934235816396371477146089168375198141802684403955936431884765625',
|
||||
'546411077581845999248238069684194831621691193366466972898628141511422317954477211865167402284211971296286346492698354214043840080181702652132835681239302798339667835439189275457116051279366194551632712819028177402221815140045210690908631767786711675029194359998826252332434573121740830827417293557234891406021102083555472155479148332697839972702631641910213821827820374586459319/105246945889799140338072754365901705544530661781295362563214285953881890233987516230568663143342952799036341701952267011236663118111226623815975847494372076420199418712941018288738590264475520229651370015377608638075866459684692488079223686296541020897904588347083045723167762682959422858996673894180805702299907478685374065593161226849447131100462022089783265346597553176576000',
|
||||
'2398330640958841474772606439916070050977544535580605737383995160447105736276950196885906408317628083110923322157113892928963237845914017845444295040924101784423382681801754191301860383927129006953354739240926643562987838836997453985855576402628166875869041032631651591871962852884189548538272285387092843044669499688035134181859376665409767886188304314888753894905317929877238322615838524354191263502347881033855441181420399360/461588070868590122892265681879734295007029130965626060552783760068897000195207878227714842617470320231527222074701444349530952699708435668339712860464533455345665068841333232359698449088497137068713309811942968433868609329301082001752617420002377892756821532220676085014874112083615054550278903960627185675459015343606391094523511117705747842645927349130302549554534056269331809016770715819934970200483161548527932617036185253',
|
||||
'6041015879424725383006424536130409209607854044642113747266098198777011981328765528361630516108680392500990580908509403483891763219659726090675140672989657743882183951954294745396417829943469201306594018454995862321821016087416840247422350906412007336103086620396467456181771583200365740253389107968122850063607085957109965406634738740996318415514360956028575560979203447735121436/1161752799109428422288020947061281540989708937450568100764830251908850596717606701047413407636907934320789870175907792017513896999208892282137299070761467096211814586909598705615312819596495636017728313513520193786266452836805291464826226833593878504804389728477191170027729963773716267868284479768397603444919008915279522376004326398403851684761808785381609370767169521034383625',
|
||||
'13240077436443988749179508462267267187169441948722358165090554769250505713747934643200804819418670147225695324432684266924694524337920816452346599774452681831320005286326986675907899608537972384924882996757503264622991355949039882526389342174307168805166215838138277557052303430492669193939212362638263582899713198716541723383138016564027766560215944409353427176135895982596327685665844815618402881202645610620284792793420780517248/2544223084468158291883698813309541801455311468982232546872485444308211415529998472787377800559884210837213042932180479090277285630234238711851480232520137856848809986631784843528381778520727465146661792797924458540957133423665746229799675650290296217658444899605236550972043549278128087645211909479009099766619355677984218929672461506691980442071860591767266913041147587815452007726513853820116629482732060593116624596368806566625',
|
||||
'1953999166296955830935495158735359200362904181792947794529339487489730042568305997099959302322956898299616194932283060554261566410988618045107398092345476532371402134206635235570281738377188438407703089325315446371127042537576093536896282955524842632708645655481028161471313608974238110718242273935956977555610147714316158486553633871312187084618154014921190595222799283957140353/375191165084882521037046014569185165885459082629136124177286500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000',
|
||||
];
|
||||
|
||||
if (typeof module !== 'undefined') {
|
||||
module.exports = {
|
||||
PRIMES,
|
||||
PRIMES_SET,
|
||||
LONG_PI,
|
||||
LONG_E,
|
||||
BIG_LOG_CACHE,
|
||||
};
|
||||
}
|
||||
17838
tools/ui/src/lib/vendors/nerdamer-prime/nerdamer.core.js
vendored
Normal file
17838
tools/ui/src/lib/vendors/nerdamer-prime/nerdamer.core.js
vendored
Normal file
File diff suppressed because it is too large
Load Diff
3
tools/ui/src/lib/vendors/package.json
vendored
Normal file
3
tools/ui/src/lib/vendors/package.json
vendored
Normal file
@@ -0,0 +1,3 @@
|
||||
{
|
||||
"type": "commonjs"
|
||||
}
|
||||
4
tools/ui/src/virtual-nerdamer.d.ts
vendored
Normal file
4
tools/ui/src/virtual-nerdamer.d.ts
vendored
Normal file
@@ -0,0 +1,4 @@
|
||||
declare module 'virtual:nerdamer' {
|
||||
const code: string;
|
||||
export default code;
|
||||
}
|
||||
59
tools/ui/tests/client/sandbox.service.svelte.test.ts
Normal file
59
tools/ui/tests/client/sandbox.service.svelte.test.ts
Normal file
@@ -0,0 +1,59 @@
|
||||
import { beforeEach, describe, expect, it } from 'vitest';
|
||||
import { SandboxService } from '$lib/services/sandbox.service';
|
||||
import { SANDBOX_TOOL_NAME } from '$lib/constants';
|
||||
|
||||
const run = (code: string, timeoutMs?: number) =>
|
||||
SandboxService.executeTool(SANDBOX_TOOL_NAME, {
|
||||
code,
|
||||
...(timeoutMs !== undefined ? { timeout_ms: timeoutMs } : {})
|
||||
});
|
||||
|
||||
describe('sandbox service', () => {
|
||||
beforeEach(async () => {
|
||||
const { settingsStore } = await import('$lib/stores/settings.svelte');
|
||||
settingsStore.config = {
|
||||
...settingsStore.config,
|
||||
symbolicMathEnabled: true
|
||||
};
|
||||
});
|
||||
|
||||
it('executes plain JavaScript', async () => {
|
||||
const reply = await run('return 1 + 1;');
|
||||
expect(reply.isError).toBe(false);
|
||||
expect(reply.content).toContain('=> 2');
|
||||
});
|
||||
|
||||
it('exposes nerdamer for symbolic computation', async () => {
|
||||
const reply = await run("return nerdamer.diff('sin(x)/x', 'x').toString();");
|
||||
expect(reply.isError).toBe(false);
|
||||
expect(reply.content).toContain('cos(x)');
|
||||
});
|
||||
|
||||
it('computes exact rational arithmetic', async () => {
|
||||
const reply = await run("return nerdamer('1/3 + 1/6').toString();");
|
||||
expect(reply.isError).toBe(false);
|
||||
expect(reply.content).toContain('=> 1/2');
|
||||
});
|
||||
|
||||
it('proves a polynomial identity symbolically', async () => {
|
||||
const reply = await run(
|
||||
"return nerdamer('expand((1+x*y)^3 - (1 + 3*x*y + 3*x^2*y^2 + x^3*y^3))').toString();"
|
||||
);
|
||||
expect(reply.isError).toBe(false);
|
||||
expect(reply.content).toContain('=> 0');
|
||||
});
|
||||
|
||||
it('blocks network egress in the worker via CSP', async () => {
|
||||
const reply = await run(
|
||||
"try { await fetch('https://example.com/'); return 'leaked'; } catch { return 'blocked'; }"
|
||||
);
|
||||
expect(reply.isError).toBe(false);
|
||||
expect(reply.content).toContain('=> blocked');
|
||||
});
|
||||
|
||||
it('enforces the timeout on runaway code', async () => {
|
||||
const reply = await run('while (true) {}', 500);
|
||||
expect(reply.isError).toBe(true);
|
||||
expect(reply.content).toContain('timed out');
|
||||
});
|
||||
});
|
||||
@@ -25,7 +25,7 @@
|
||||
".storybook/**/*.ts",
|
||||
".storybook/**/*.svelte"
|
||||
],
|
||||
"exclude": ["src/lib/services/sandbox-worker.js"]
|
||||
"exclude": ["src/lib/services/sandbox-worker.js", "src/lib/vendors/**"]
|
||||
// Path aliases are handled by https://svelte.dev/docs/kit/configuration#alias
|
||||
// except $lib which is handled by https://svelte.dev/docs/kit/configuration#files
|
||||
//
|
||||
|
||||
@@ -9,6 +9,7 @@ import { storybookTest } from '@storybook/addon-vitest/vitest-plugin';
|
||||
import { splashScreenPlugin } from './scripts/vite-plugin-splash-screen';
|
||||
import { buildInfoPlugin } from './scripts/vite-plugin-build-info';
|
||||
import { relativizeBasePlugin } from './scripts/vite-plugin-relativize-base';
|
||||
import { nerdamerPlugin } from './scripts/vite-plugin-nerdamer';
|
||||
import { playwright } from '@vitest/browser-playwright';
|
||||
import { SVELTEKIT_PWA_OPTIONS } from './src/lib/constants/pwa';
|
||||
|
||||
@@ -46,6 +47,7 @@ export default defineConfig({
|
||||
SvelteKitPWA(SVELTEKIT_PWA_OPTIONS),
|
||||
splashScreenPlugin(),
|
||||
buildInfoPlugin(),
|
||||
nerdamerPlugin(),
|
||||
relativizeBasePlugin()
|
||||
],
|
||||
|
||||
|
||||
Reference in New Issue
Block a user