Exact integer-grid polyline simplification
Simplify a supplied integer polyline with exact point-to-segment Ramer–Douglas–Peucker decisions, original retained indexes and per-final-segment squared vertex-deviation witnesses.
data-assurance · Operation ID: polyline-simplify
Choose this operation when
- Reducing original-vertex polylines for previews or vector exports
- Requiring exact inclusive tolerance decisions and earliest-index distance ties
- Checking original removed vertices against their final enclosing segments
Outside this profile
- Minimum-vertex optimization, topology or area preservation
- Curve smoothing, map matching or global geometry equivalence
- General Hausdorff certificates, geodesic distances or coordinate conversion
- Fetching sources, changing external state or executing supplied data
Exact release references
Static JSON contract · Markdown reference · Fixed example response
Complete input schema
{
"$schema": "https://json-schema.org/draft/2020-12/schema",
"type": "object",
"properties": {
"points": {
"minItems": 2,
"maxItems": 256,
"type": "array",
"items": {
"type": "array",
"prefixItems": [
{
"type": "string",
"maxLength": 14,
"pattern": "^(?:0|-?[1-9]\\d{0,12})$"
},
{
"type": "string",
"maxLength": 14,
"pattern": "^(?:0|-?[1-9]\\d{0,12})$"
}
],
"items": false,
"minItems": 2,
"maxItems": 2
}
},
"tolerance": {
"type": "string",
"maxLength": 13,
"pattern": "^(?:0|[1-9]\\d{0,12})$"
}
},
"required": [
"points",
"tolerance"
],
"additionalProperties": false
}
Complete output-envelope schema
{
"type": "object",
"required": [
"operation",
"version",
"result",
"provenance"
],
"properties": {
"operation": {
"const": "polyline-simplify",
"type": "string"
},
"version": {
"const": "0.29.0",
"type": "string"
},
"result": {
"$schema": "https://json-schema.org/draft/2020-12/schema",
"type": "object",
"properties": {
"profile": {
"type": "string",
"const": "exact-integer-rdp-polyline-v1"
},
"coordinateModel": {
"type": "string",
"const": "caller-integer-grid"
},
"indexes": {
"minItems": 2,
"maxItems": 256,
"type": "array",
"items": {
"type": "integer",
"minimum": 0,
"maximum": 255
}
},
"points": {
"minItems": 2,
"maxItems": 256,
"type": "array",
"items": {
"type": "array",
"prefixItems": [
{
"type": "string",
"maxLength": 14,
"pattern": "^(?:0|-?[1-9]\\d{0,12})$"
},
{
"type": "string",
"maxLength": 14,
"pattern": "^(?:0|-?[1-9]\\d{0,12})$"
}
],
"items": false,
"minItems": 2,
"maxItems": 2
}
},
"segments": {
"minItems": 1,
"maxItems": 255,
"type": "array",
"items": {
"type": "object",
"properties": {
"startIndex": {
"type": "integer",
"minimum": 0,
"maximum": 255
},
"endIndex": {
"type": "integer",
"minimum": 0,
"maximum": 255
},
"maxSquaredDeviation": {
"type": "object",
"properties": {
"numerator": {
"type": "string",
"maxLength": 102,
"pattern": "^(?:0|-?[1-9]\\d{0,100})$"
},
"denominator": {
"type": "string",
"maxLength": 101,
"pattern": "^[1-9]\\d{0,100}$"
}
},
"required": [
"numerator",
"denominator"
],
"additionalProperties": false
},
"witnessIndex": {
"anyOf": [
{
"type": "integer",
"minimum": 0,
"maximum": 255
},
{
"type": "null"
}
]
}
},
"required": [
"startIndex",
"endIndex",
"maxSquaredDeviation",
"witnessIndex"
],
"additionalProperties": false
}
}
},
"required": [
"profile",
"coordinateModel",
"indexes",
"points",
"segments"
],
"additionalProperties": false
},
"provenance": {
"type": "object",
"required": [
"inputSha256",
"outputSha256",
"deterministic",
"externalRequests"
],
"properties": {
"inputSha256": {
"type": "string",
"pattern": "^[a-f0-9]{64}$"
},
"outputSha256": {
"type": "string",
"pattern": "^[a-f0-9]{64}$"
},
"deterministic": {
"const": true
},
"externalRequests": {
"const": 0
}
}
}
},
"additionalProperties": false
}
Fixed example
One accepted fixed example, not a custom-input trial. No operation runs when this static page is requested.
Example input
{
"points": [
[
"0",
"0"
],
[
"1",
"1"
],
[
"2",
"0"
],
[
"3",
"0"
]
],
"tolerance": "1"
}
Example response
{
"operation": "polyline-simplify",
"version": "0.29.0",
"result": {
"profile": "exact-integer-rdp-polyline-v1",
"coordinateModel": "caller-integer-grid",
"indexes": [
0,
3
],
"points": [
[
"0",
"0"
],
[
"3",
"0"
]
],
"segments": [
{
"startIndex": 0,
"endIndex": 3,
"maxSquaredDeviation": {
"numerator": "1",
"denominator": "1"
},
"witnessIndex": 1
}
]
},
"provenance": {
"inputSha256": "e80ee76754de76df6f80c9527775670d590b6da264147352c147e5db9a10f837",
"outputSha256": "4204e80b58e4bc7f9d81f32ece7c6a8e16aea1ee8babcce554c1b8d1481457f6",
"deterministic": true,
"externalRequests": 0
}
}
Bounds and precision
JavaScript IEEE-754 numbers; use strings for large integer IDs/exact decimals where the schema accepts strings. No lossless numeric parsing.
{
"global": {
"requestBytes": 131072,
"responseBytes": 524288,
"jsonDepth": 32,
"jsonNodes": 20000,
"requestsPerMinute": 60,
"paidAttemptsPerMinute": 20,
"idempotencyHours": 24
},
"operation": {
"inputBytes": 100000,
"outputBytes": 300000,
"jsonNodes": 10000,
"depth": 20,
"profile": "exact-integer-rdp-polyline-v1",
"points": 256,
"absoluteCoordinate": "1000000000000",
"tolerance": "2000000000000",
"distanceTests": 35000,
"worstRdpInteriorTests": 32385,
"maximumCertificateTests": 254
}
}
Complete schemas, descriptions and cross-field validation may impose additional limits.
Proposed price and protocol definitions
{
"unit": "one successful operation call",
"proposedNominalUsd": "0.005",
"sixDecimalTokenBaseUnits": "5000",
"subscription": false,
"includesPayerWalletOrNetworkFees": false,
"liveQuoteVerified": false,
"condition": "Actual SDK challenge is authoritative only within the caller's explicit authorization; configured six-decimal token peg is an operator assertion, not a conversion guarantee."
}
Protocol definitions: x402, mpp. MPP uses Tempo charge. Paid MCP execution is unsupported. All runtime readiness is not evaluated in this build.
API path templates, not endpoints on this documentation host
{
"x402": "/v1/x402/polyline-simplify",
"mpp": "/v1/mpp/polyline-simplify"
}
Required headers
{
"Content-Type": "application/json",
"Idempotency-Key": "random 16–128 character operation identifier"
}
Actual SDK challenge amount, asset, network, recipient and wallet costs must pass independent authorization. Preserve identical key, body, protocol and credential on retries; on PAYMENT_UNCERTAIN stop and reconcile.
Execution profile and provider conditions
{
"deterministic": true,
"externalRequests": 0,
"maxExternalRequests": 0,
"resultSnapshotPersisted": false,
"fixedExampleIsIllustrativeSnapshot": false,
"requiresPayment": true,
"supportsMcpExecution": false
}
Deterministic supplied-input operation with no external requests or stored request/result bodies. Payment infrastructure retains payment metadata and hashes.
Failure handling
- HTTP 400: Malformed JSON, missing/invalid idempotency key, or payment identifier mismatch Correct the request before payment
- HTTP 402: Payment challenge or rejected payment Use official protocol SDK; inspect payment outcome before another payment
- HTTP 409: Idempotency conflict, duplicate proof, or PAYMENT_UNCERTAIN Keep original key, body, and proof; reconcile uncertainty with operator; never blindly repay
- HTTP 413: Input or generated output too large Reduce input; no payment attempted for validation failure
- HTTP 415: Unsupported media type or compression Send uncompressed application/json
- HTTP 422: Schema or service-specific semantic validation failure Correct input using returned error code; no payment attempted
- HTTP 429: Request/payment-attempt rate exceeded Wait for rate limit window; preserve existing payment identity
- HTTP 503: Payment configuration/provider/state unavailable, or live DNS preparation failed before settlement Check readiness; DNS preparation failures may retry the identical key/body/credential only; uncertainty requires reconciliation
Declared requirements
Before any paid call, refresh the live operation contract and POST the complete bounded budgeted plan to the separate API's /preflight. Unknown requirements block selection; compatible preflight is not permission to spend.