HALOWERKDatenvertragswerk
exact bezier subdivision audit
Subdivide one planar Bezier curve with2..6integercontrolpoints[-20,20] at explicit rational t0..1 numerator0..denominator<=8. Return normalizedparameter,every intermediate deCasteljau triangle coordinate,and complete same-degree left/right child controlpolygons oriented from original start to split and split to original end. Every coordinate is an exact reduced signed-numerator/positive-denominator decimal-string pair;split point included. Endpoints t0/1,coincident controls and nonreduced.
POST https://datenvertrag.halowerk.com/v1/exact-bezier-subdivision-auditEingaben
| Feld | Typ | Pflicht | Beschreibung |
|---|---|---|---|
| control_points | Siehe Schema | Ja | |
| t | object | Ja | |
| claimed_value | Siehe Schema | Ja |
Vollständiges Eingabeschema anzeigen
{
"type": "object",
"properties": {
"control_points": {
"anyOf": [
{
"type": "array",
"maxItems": 6,
"items": {
"type": "array",
"maxItems": 2,
"items": {
"type": "integer",
"minimum": -20,
"maximum": 20
},
"minItems": 2
},
"minItems": 2
},
{
"type": "null"
}
]
},
"t": {
"type": "object",
"properties": {
"num": {
"type": "integer",
"minimum": 0,
"maximum": 8
},
"den": {
"type": "integer",
"minimum": 1,
"maximum": 8
}
},
"required": [
"num",
"den"
],
"additionalProperties": false
},
"claimed_value": {
"anyOf": [
{
"type": "object",
"properties": {
"degree": {
"type": "integer",
"minimum": 1,
"maximum": 5
},
"parameter": {
"type": "object",
"properties": {
"num": {
"type": "string",
"pattern": "^(0|-?[1-9][0-9]{0,15})$"
},
"den": {
"type": "string",
"pattern": "^[1-9][0-9]{0,15}$"
}
},
"required": [
"num",
"den"
],
"additionalProperties": false
},
"triangle": {
"type": "array",
"maxItems": 6,
"items": {
"type": "array",
"maxItems": 6,
"items": {
"type": "array",
"maxItems": 2,
"items": {
"type": "object",
"properties": {
"num": {
"type": "string",
"pattern": "^(0|-?[1-9][0-9]{0,15})$"
},
"den": {
"type": "string",
"pattern": "^[1-9][0-9]{0,15}$"
}
},
"required": [
"num",
"den"
],
"additionalProperties": false
},
"minItems": 2
}
}
},
"left_control": {
"type": "array",
"maxItems": 6,
"items": {
"type": "array",
"maxItems": 2,
"items": {
"type": "object",
"properties": {
"num": {
"type": "string",
"pattern": "^(0|-?[1-9][0-9]{0,15})$"
},
"den": {
"type": "string",
"pattern": "^[1-9][0-9]{0,15}$"
}
},
"required": [
"num",
"den"
],
"additionalProperties": false
},
"minItems": 2
}
},
"right_control": {
"type": "array",
"maxItems": 6,
"items": {
"type": "array",
"maxItems": 2,
"items": {
"type": "object",
"properties": {
"num": {
"type": "string",
"pattern": "^(0|-?[1-9][0-9]{0,15})$"
},
"den": {
"type": "string",
"pattern": "^[1-9][0-9]{0,15}$"
}
},
"required": [
"num",
"den"
],
"additionalProperties": false
},
"minItems": 2
}
},
"split_point": {
"type": "array",
"maxItems": 2,
"items": {
"type": "object",
"properties": {
"num": {
"type": "string",
"pattern": "^(0|-?[1-9][0-9]{0,15})$"
},
"den": {
"type": "string",
"pattern": "^[1-9][0-9]{0,15}$"
}
},
"required": [
"num",
"den"
],
"additionalProperties": false
},
"minItems": 2
}
},
"required": [
"degree",
"parameter",
"triangle",
"left_control",
"right_control",
"split_point"
],
"additionalProperties": false
},
{
"type": "null"
}
]
}
},
"required": [
"control_points",
"t",
"claimed_value"
],
"additionalProperties": false
}Veröffentlichtes Eingabebeispiel
{
"control_points": [
[
0,
0
],
[
4,
8
],
[
10,
0
]
],
"t": {
"num": 1,
"den": 2
},
"claimed_value": {
"degree": 2,
"parameter": {
"num": "1",
"den": "2"
},
"triangle": [
[
[
{
"num": "0",
"den": "1"
},
{
"num": "0",
"den": "1"
}
],
[
{
"num": "4",
"den": "1"
},
{
"num": "8",
"den": "1"
}
],
[
{
"num": "10",
"den": "1"
},
{
"num": "0",
"den": "1"
}
]
],
[
[
{
"num": "2",
"den": "1"
},
{
"num": "4",
"den": "1"
}
],
[
{
"num": "7",
"den": "1"
},
{
"num": "4",
"den": "1"
}
]
],
[
[
{
"num": "9",
"den": "2"
},
{
"num": "4",
"den": "1"
}
]
]
],
"left_control": [
[
{
"num": "0",
"den": "1"
},
{
"num": "0",
"den": "1"
}
],
[
{
"num": "2",
"den": "1"
},
{
"num": "4",
"den": "1"
}
],
[
{
"num": "9",
"den": "2"
},
{
"num": "4",
"den": "1"
}
]
],
"right_control": [
[
{
"num": "9",
"den": "2"
},
{
"num": "4",
"den": "1"
}
],
[
{
"num": "7",
"den": "1"
},
{
"num": "4",
"den": "1"
}
],
[
{
"num": "10",
"den": "1"
},
{
"num": "0",
"den": "1"
}
]
],
"split_point": [
{
"num": "9",
"den": "2"
},
{
"num": "4",
"den": "1"
}
]
}
}Ergebnis & Dokumentation
Maschinenlesbare Dokumentation dieses Hubs
Quelle dieser Seite: der veröffentlichte HALOWERK-Katalog. Stand: 2026-11-07, 02:42 UTC.
Weitere Endpunkte dieses Hubs
- Datenvertragswerk0,003 USDC
adjacency cospectral graph family
POSThttps://datenvertrag.halowerk.com/v1/adjacency-cospectral-graph-familyGiven n1..5 and a monic degree-n integer polynomial det(xI-A), return EVERY labelled simple undirected graph on vertices0..n-1 having exactly that adjacency characteristic polynomial over integers. Coefficients are descending degree order,
- Datenvertragswerk0,003 USDC
adjacent swap permutation tour
POSThttps://datenvertrag.halowerk.com/v1/adjacent-swap-permutation-tourFor 0 to 5 labels starting at zero, construct the whole Steinhaus-Johnson-Trotter permutation tour from identity. Each transition swaps the largest mobile value with its adjacent smaller neighbor, then reverses directions of greater values.
- Datenvertragswerk0,003 USDC
aligned record cut audit
POSThttps://datenvertrag.halowerk.com/v1/aligned-record-cut-auditA stream-runtime fixture maintainer checks which record IDs belong to a supplied aligned checkpoint cut and which same-channel post-barrier records must stay buffered until all input barriers arrive. One aligned local checkpoint;record iden