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stdlib-point-at-infinity - Stdlib Point-at-Infinity Handling

Handle point-at-infinity in stdlib circuit types for serialization, public inputs, and cycle_group/biggroup code

Tags

Updated: 2026-03-22

Capabilities

Typical Inputs

Typical Outputs

What this skill does

  • serialize point coordinates
  • set public inputs
  • check infinity status
  • compare points
  • assert point equality
  • validate on-curve points
  • detect canonical infinity
  • canonicalize infinity points
  • perform complete addition
  • construct group elements

Inputs

  • group element coordinates
  • infinity flag
  • circuit builder
  • field elements
  • public inputs
  • transcript data
  • affine element

Outputs

  • serialized field elements
  • canonical point coordinates
  • circuit constraints
  • infinity status
  • comparison result
  • validation assertion

Requirements

  • stdlib circuit types
  • bn254 or Grumpkin field
  • circuit builder support

Source

  • Spec: SKILL.md
elliptic-curve
circuit
stdlib
serialization
infinity
bn254
grumpkin
serialize point coordinates
set public inputs
check infinity status
compare points
group element coordinates
infinity flag
circuit builder
serialized field elements
canonical point coordinates
circuit constraints