Urbit
  • Introduction
  • Development

    • Getting Started
    • Environment Setup
    • Grants Program
    • Project Repositories
    • Precepts
    • System Overview

      • Arvo
      • Hoon
      • Nock
      • Vere
      • Azimuth
      • Cryptography
      • Arvo

        • Overview
        • Ames

          • Overview
          • Cryptography
          • API Reference
          • Scry Reference
          • Data Types
          • Behn

            • Overview
            • API Reference
            • Scry Reference
            • Examples
            • Clay

              • Overview
              • Architecture
              • Using Clay
              • Data Types
              • Scry Reference
              • API Reference
              • Examples
              • Marks

                • Overview
                • Writing Marks
                • Using Marks
                • Examples
              • Dill

                • Overview
                • API Reference
                • Scry Reference
                • Data Types
                • Eyre

                  • Overview
                  • External API Reference
                  • Internal API Reference
                  • Scry Reference
                  • Data Types
                  • Guide
                  • Ford

                    • Overview
                    • Gall

                      • Overview
                      • API Reference
                      • Data Types
                      • Iris

                        • Overview
                        • API Reference
                        • Data Types
                        • Example
                        • Jael

                          • Overview
                          • API Reference
                          • Scry Reference
                          • Data Types
                          • Examples
                          • Concepts

                            • Scries
                            • Subscriptions
                            • Tutorials

                              • Move Trace
                              • Reference

                                • Cryptography
                                • Filesystem Hierarchy
                              • Userspace

                                • Overview
                                • HTTP API Guide
                                • Gall Guide

                                  • Introduction
                                  • 1. Arvo
                                  • 2. The Agent Core
                                  • 3. Imports and Aliases
                                  • 4. Lifecycle
                                  • 5. Cards
                                  • 6. Pokes
                                  • 7. Structures and Marks
                                  • 8. Subscriptions
                                  • 9. Vanes
                                  • 10. Scries
                                  • 11. Failure
                                  • 12. Next Steps
                                  • Appendix: Types
                                  • Full-Stack Walkthrough

                                    • 1. Introduction
                                    • 2. Types
                                    • 3. Agent
                                    • 4. JSON
                                    • 5. Marks
                                    • 6. Eyre
                                    • 7. React app setup
                                    • 8. React app logic
                                    • 9. Desk and glob
                                    • 10. Summary
                                    • Graph Store

                                      • Graph Store Overview
                                      • Data Structure Overview
                                      • Validator Walkthrough
                                      • Sample Application: Library
                                      • Graph Store - Reference
                                      • Advanced Info
                                      • Threads

                                        • Overview
                                        • HTTP API
                                        • Reference
                                        • Basics

                                          • Fundamentals
                                          • Bind
                                          • Input
                                          • Output
                                          • Summary
                                          • Gall

                                            • Start Thread
                                            • Take Result
                                            • Take Facts
                                            • Stop Thread
                                            • Poke Thread
                                            • Examples

                                              • Fetch JSON
                                              • Child Thread
                                              • Main-loop
                                              • Poke Agent
                                              • Scry
                                              • Take Fact
                                            • Distribution

                                              • Overview
                                              • Guide
                                              • Docket File
                                              • Glob
                                              • Dojo Tools
                                            • Hoon

                                              • Overview
                                              • Hoon School

                                                • 1.1 Introduction
                                                • 1.1.1 Walkthrough: List of Numbers
                                                • 1.2 Nouns
                                                • 1.3 Hoon Syntax
                                                • 1.3.1 Walkthrough: Conditionals
                                                • 1.4 Gates (Hoon Functions)
                                                • 1.4.1 Walkthrough: Recursion
                                                • 1.5 Lists
                                                • 1.5.1 Walkthrough: Fibonacci Sequence
                                                • 1.6 The Subject and Its Legs
                                                • 1.6.1 Walkthrough: Ackermann Function
                                                • 1.7 Arms and Cores
                                                • 1.7.1 Walkthrough: Caesar Cipher
                                                • 1.8 Doors
                                                • 1.8.1 Bank Account
                                                • 1.9 Generators
                                                • 2.1 Atoms, Auras, and Simple Cell Types
                                                • 2.2 Type Checking and Type Inference
                                                • 2.3 Structures and Complex Types
                                                • 2.3.1 Walkthrough: Libraries
                                                • 2.3.2 Molds
                                                • 2.4 Standard Library: Trees, Sets, and Maps
                                                • 2.5 Type Polymorphism
                                                • 2.5.1 Walkthrough: Iron Polymorphism and Wet Polymorphism
                                                • 2.5.2 Walkthrough: Lead Polymorphism
                                                • 2.6 Behn
                                                • 2.7 Gall
                                                • 2.7.1 Gall Walkthrough: Egg Timer
                                                • Guides

                                                  • CLI apps
                                                  • Parsing
                                                  • JSON
                                                  • Strings
                                                  • Sail (HTML)
                                                  • Writing Aqua Tests
                                                  • Reference

                                                    • Cheat Sheet
                                                    • Irregular forms
                                                    • Hoon Errors
                                                    • Hoon Style Guide
                                                    • Basic Types
                                                    • Advanced Types
                                                    • Auras
                                                    • Runes

                                                      • Atoms and strings
                                                      • Nock . ('dot')
                                                      • Wild ! ('zap')
                                                      • Change Subject = ('tis')
                                                      • Conditionals ? ('wut')
                                                      • Cores | ('bar')
                                                      • Arms + ('lus')
                                                      • Cells : ('col')
                                                      • Calls % ('cen')
                                                      • Casts ^ ('ket')
                                                      • Structures $ ('buc')
                                                      • Make ; ('mic')
                                                      • Hints ~ ('sig')
                                                      • Imports / ('fas')
                                                      • Terminators -- and ==
                                                      • Limbs and wings

                                                        • Limbs
                                                        • Wings
                                                        • Standard library

                                                          • Table of Contents
                                                          • 1a: Basic Arithmetic
                                                          • 1b: Tree Addressing
                                                          • 1c: Molds and Mold-Builders
                                                          • 2a: Unit Logic
                                                          • 2b: List Logic
                                                          • 2c: Bit Arithmetic
                                                          • 2d: Bit Logic
                                                          • 2e: Insecure Hashing
                                                          • 2f: Noun Ordering
                                                          • 2g: Unsigned Powers
                                                          • 2h: Set Logic
                                                          • 2i: Map Logic
                                                          • 2j: Jar and Jug Logic
                                                          • 2k: Queue Logic
                                                          • 2l: Container from Container
                                                          • 2m: Container from Noun
                                                          • 2n: Functional Hacks
                                                          • 2o: Normalizing Containers
                                                          • 2p: Serialization
                                                          • 2q: Molds and Mold-Builders
                                                          • 3a: Modular and Signed Ints
                                                          • 3b: Floating Point
                                                          • 3c: Urbit Time
                                                          • 3d: SHA Hash Family
                                                          • 3e: AES encryption (Removed)
                                                          • 3f: Scrambling
                                                          • 3g: Molds and Mold-Builders
                                                          • 4a: Exotic Bases
                                                          • 4b: Text Processing
                                                          • 4c: Tank Printer
                                                          • 4d: Parsing (Tracing)
                                                          • 4e: Parsing (Combinators)
                                                          • 4f: Parsing (Rule-Builders)
                                                          • 4g: Parsing (Outside Caller)
                                                          • 4h: Parsing (ASCII Glyphs)
                                                          • 4i: Parsing (Useful Idioms)
                                                          • 4j: Parsing (Bases and Base Digits)
                                                          • 4k: Atom Printing
                                                          • 4l: Atom Parsing
                                                          • 4m: Formatting Functions
                                                          • 4n: Virtualization
                                                          • 4o: Molds
                                                          • 5a: Compiler Utilities
                                                          • 5b: Macro Expansion
                                                          • 5c: Compiler Backend & Prettyprinter
                                                          • 5d: Parser
                                                          • 5e: Molds and mold builders
                                                          • 5f: Profiling support
                                                          • Zuse

                                                            • Table of Contents
                                                            • 2d(1-5): To JSON, Wains
                                                            • 2d(6): From JSON
                                                            • 2d(7): From JSON (unit)
                                                            • 2e(2-3): Print & Parse JSON
                                                        • Nock

                                                          • Nock Definition
                                                          • Explanation
                                                          • Example
                                                          • Implementations
                                                          • Vere

                                                            • C Runtime System
                                                            • Land of Nouns
                                                            • API overview by prefix
                                                            • C in Urbit
                                                            • Writing Jets
                                                            • Cryptography
                                                            • Azimuth

                                                              • Overview
                                                              • Urbit HD Wallet
                                                              • Azimuth Data Flow
                                                              • Azimuth.eth
                                                              • Ecliptic.eth
                                                              • Advanced Azimuth Tools
                                                              • Life and Rift
                                                              • Layer 2

                                                                • Layer 2 Overview
                                                                • Layer 2 Actions
                                                                • Transaction Format
                                                                • Rollers
                                                                • Roller HTTP RPC-API
                                                                • Custom Roller Tutorial
                                                              • Glossary

                                                                • Ames
                                                                • Aqua
                                                                • Arm
                                                                • Arvo
                                                                • Atom
                                                                • Azimuth
                                                                • Battery
                                                                • Behn
                                                                • Bridge
                                                                • Censures
                                                                • Ceremony
                                                                • chat
                                                                • Claims
                                                                • Clay
                                                                • Comet
                                                                • Core
                                                                • Delegated Sending
                                                                • Desk
                                                                • Dill
                                                                • Document Proposal
                                                                • Dojo
                                                                • Door
                                                                • Ecliptic
                                                                • Event Log
                                                                • Eyre
                                                                • Ford
                                                                • Galaxy
                                                                • Gall
                                                                • Gate
                                                                • HD Wallet
                                                                • Hoon
                                                                • Invite Tree
                                                                • Iris
                                                                • Jael
                                                                • Jaque
                                                                • Keyfile
                                                                • Landscape
                                                                • Mark
                                                                • Moon
                                                                • Nock
                                                                • Noun
                                                                • OTA Updates
                                                                • Payload
                                                                • pH
                                                                • Pier
                                                                • Pill
                                                                • Planet
                                                                • Proxies
                                                                • Replay
                                                                • Factory Reset
                                                                • Naive rollups
                                                                • Sail/Udon
                                                                • Senate
                                                                • Ship
                                                                • ship.arvo.network
                                                                • Star
                                                                • |sync
                                                                • Trap
                                                                • Upgrade Proposal
                                                                • Vane
                                                                • Vere
                                                                • Voting
                                                                • Wallet-Generator
                                                                Urbit
                                                                • Introduction
                                                                • Development

                                                                  • Getting Started
                                                                  • Environment Setup
                                                                  • Grants Program
                                                                  • Project Repositories
                                                                  • Precepts
                                                                  • System Overview

                                                                    • Arvo
                                                                    • Hoon
                                                                    • Nock
                                                                    • Vere
                                                                    • Azimuth
                                                                    • Cryptography
                                                                    • Arvo

                                                                      • Overview
                                                                      • Ames

                                                                        • Overview
                                                                        • Cryptography
                                                                        • API Reference
                                                                        • Scry Reference
                                                                        • Data Types
                                                                        • Behn

                                                                          • Overview
                                                                          • API Reference
                                                                          • Scry Reference
                                                                          • Examples
                                                                          • Clay

                                                                            • Overview
                                                                            • Architecture
                                                                            • Using Clay
                                                                            • Data Types
                                                                            • Scry Reference
                                                                            • API Reference
                                                                            • Examples
                                                                            • Marks

                                                                              • Overview
                                                                              • Writing Marks
                                                                              • Using Marks
                                                                              • Examples
                                                                            • Dill

                                                                              • Overview
                                                                              • API Reference
                                                                              • Scry Reference
                                                                              • Data Types
                                                                              • Eyre

                                                                                • Overview
                                                                                • External API Reference
                                                                                • Internal API Reference
                                                                                • Scry Reference
                                                                                • Data Types
                                                                                • Guide
                                                                                • Ford

                                                                                  • Overview
                                                                                  • Gall

                                                                                    • Overview
                                                                                    • API Reference
                                                                                    • Data Types
                                                                                    • Iris

                                                                                      • Overview
                                                                                      • API Reference
                                                                                      • Data Types
                                                                                      • Example
                                                                                      • Jael

                                                                                        • Overview
                                                                                        • API Reference
                                                                                        • Scry Reference
                                                                                        • Data Types
                                                                                        • Examples
                                                                                        • Concepts

                                                                                          • Scries
                                                                                          • Subscriptions
                                                                                          • Tutorials

                                                                                            • Move Trace
                                                                                            • Reference

                                                                                              • Cryptography
                                                                                              • Filesystem Hierarchy
                                                                                            • Userspace

                                                                                              • Overview
                                                                                              • HTTP API Guide
                                                                                              • Gall Guide

                                                                                                • Introduction
                                                                                                • 1. Arvo
                                                                                                • 2. The Agent Core
                                                                                                • 3. Imports and Aliases
                                                                                                • 4. Lifecycle
                                                                                                • 5. Cards
                                                                                                • 6. Pokes
                                                                                                • 7. Structures and Marks
                                                                                                • 8. Subscriptions
                                                                                                • 9. Vanes
                                                                                                • 10. Scries
                                                                                                • 11. Failure
                                                                                                • 12. Next Steps
                                                                                                • Appendix: Types
                                                                                                • Full-Stack Walkthrough

                                                                                                  • 1. Introduction
                                                                                                  • 2. Types
                                                                                                  • 3. Agent
                                                                                                  • 4. JSON
                                                                                                  • 5. Marks
                                                                                                  • 6. Eyre
                                                                                                  • 7. React app setup
                                                                                                  • 8. React app logic
                                                                                                  • 9. Desk and glob
                                                                                                  • 10. Summary
                                                                                                  • Graph Store

                                                                                                    • Graph Store Overview
                                                                                                    • Data Structure Overview
                                                                                                    • Validator Walkthrough
                                                                                                    • Sample Application: Library
                                                                                                    • Graph Store - Reference
                                                                                                    • Advanced Info
                                                                                                    • Threads

                                                                                                      • Overview
                                                                                                      • HTTP API
                                                                                                      • Reference
                                                                                                      • Basics

                                                                                                        • Fundamentals
                                                                                                        • Bind
                                                                                                        • Input
                                                                                                        • Output
                                                                                                        • Summary
                                                                                                        • Gall

                                                                                                          • Start Thread
                                                                                                          • Take Result
                                                                                                          • Take Facts
                                                                                                          • Stop Thread
                                                                                                          • Poke Thread
                                                                                                          • Examples

                                                                                                            • Fetch JSON
                                                                                                            • Child Thread
                                                                                                            • Main-loop
                                                                                                            • Poke Agent
                                                                                                            • Scry
                                                                                                            • Take Fact
                                                                                                          • Distribution

                                                                                                            • Overview
                                                                                                            • Guide
                                                                                                            • Docket File
                                                                                                            • Glob
                                                                                                            • Dojo Tools
                                                                                                          • Hoon

                                                                                                            • Overview
                                                                                                            • Hoon School

                                                                                                              • 1.1 Introduction
                                                                                                              • 1.1.1 Walkthrough: List of Numbers
                                                                                                              • 1.2 Nouns
                                                                                                              • 1.3 Hoon Syntax
                                                                                                              • 1.3.1 Walkthrough: Conditionals
                                                                                                              • 1.4 Gates (Hoon Functions)
                                                                                                              • 1.4.1 Walkthrough: Recursion
                                                                                                              • 1.5 Lists
                                                                                                              • 1.5.1 Walkthrough: Fibonacci Sequence
                                                                                                              • 1.6 The Subject and Its Legs
                                                                                                              • 1.6.1 Walkthrough: Ackermann Function
                                                                                                              • 1.7 Arms and Cores
                                                                                                              • 1.7.1 Walkthrough: Caesar Cipher
                                                                                                              • 1.8 Doors
                                                                                                              • 1.8.1 Bank Account
                                                                                                              • 1.9 Generators
                                                                                                              • 2.1 Atoms, Auras, and Simple Cell Types
                                                                                                              • 2.2 Type Checking and Type Inference
                                                                                                              • 2.3 Structures and Complex Types
                                                                                                              • 2.3.1 Walkthrough: Libraries
                                                                                                              • 2.3.2 Molds
                                                                                                              • 2.4 Standard Library: Trees, Sets, and Maps
                                                                                                              • 2.5 Type Polymorphism
                                                                                                              • 2.5.1 Walkthrough: Iron Polymorphism and Wet Polymorphism
                                                                                                              • 2.5.2 Walkthrough: Lead Polymorphism
                                                                                                              • 2.6 Behn
                                                                                                              • 2.7 Gall
                                                                                                              • 2.7.1 Gall Walkthrough: Egg Timer
                                                                                                              • Guides

                                                                                                                • CLI apps
                                                                                                                • Parsing
                                                                                                                • JSON
                                                                                                                • Strings
                                                                                                                • Sail (HTML)
                                                                                                                • Writing Aqua Tests
                                                                                                                • Reference

                                                                                                                  • Cheat Sheet
                                                                                                                  • Irregular forms
                                                                                                                  • Hoon Errors
                                                                                                                  • Hoon Style Guide
                                                                                                                  • Basic Types
                                                                                                                  • Advanced Types
                                                                                                                  • Auras
                                                                                                                  • Runes

                                                                                                                    • Atoms and strings
                                                                                                                    • Nock . ('dot')
                                                                                                                    • Wild ! ('zap')
                                                                                                                    • Change Subject = ('tis')
                                                                                                                    • Conditionals ? ('wut')
                                                                                                                    • Cores | ('bar')
                                                                                                                    • Arms + ('lus')
                                                                                                                    • Cells : ('col')
                                                                                                                    • Calls % ('cen')
                                                                                                                    • Casts ^ ('ket')
                                                                                                                    • Structures $ ('buc')
                                                                                                                    • Make ; ('mic')
                                                                                                                    • Hints ~ ('sig')
                                                                                                                    • Imports / ('fas')
                                                                                                                    • Terminators -- and ==
                                                                                                                    • Limbs and wings

                                                                                                                      • Limbs
                                                                                                                      • Wings
                                                                                                                      • Standard library

                                                                                                                        • Table of Contents
                                                                                                                        • 1a: Basic Arithmetic
                                                                                                                        • 1b: Tree Addressing
                                                                                                                        • 1c: Molds and Mold-Builders
                                                                                                                        • 2a: Unit Logic
                                                                                                                        • 2b: List Logic
                                                                                                                        • 2c: Bit Arithmetic
                                                                                                                        • 2d: Bit Logic
                                                                                                                        • 2e: Insecure Hashing
                                                                                                                        • 2f: Noun Ordering
                                                                                                                        • 2g: Unsigned Powers
                                                                                                                        • 2h: Set Logic
                                                                                                                        • 2i: Map Logic
                                                                                                                        • 2j: Jar and Jug Logic
                                                                                                                        • 2k: Queue Logic
                                                                                                                        • 2l: Container from Container
                                                                                                                        • 2m: Container from Noun
                                                                                                                        • 2n: Functional Hacks
                                                                                                                        • 2o: Normalizing Containers
                                                                                                                        • 2p: Serialization
                                                                                                                        • 2q: Molds and Mold-Builders
                                                                                                                        • 3a: Modular and Signed Ints
                                                                                                                        • 3b: Floating Point
                                                                                                                        • 3c: Urbit Time
                                                                                                                        • 3d: SHA Hash Family
                                                                                                                        • 3e: AES encryption (Removed)
                                                                                                                        • 3f: Scrambling
                                                                                                                        • 3g: Molds and Mold-Builders
                                                                                                                        • 4a: Exotic Bases
                                                                                                                        • 4b: Text Processing
                                                                                                                        • 4c: Tank Printer
                                                                                                                        • 4d: Parsing (Tracing)
                                                                                                                        • 4e: Parsing (Combinators)
                                                                                                                        • 4f: Parsing (Rule-Builders)
                                                                                                                        • 4g: Parsing (Outside Caller)
                                                                                                                        • 4h: Parsing (ASCII Glyphs)
                                                                                                                        • 4i: Parsing (Useful Idioms)
                                                                                                                        • 4j: Parsing (Bases and Base Digits)
                                                                                                                        • 4k: Atom Printing
                                                                                                                        • 4l: Atom Parsing
                                                                                                                        • 4m: Formatting Functions
                                                                                                                        • 4n: Virtualization
                                                                                                                        • 4o: Molds
                                                                                                                        • 5a: Compiler Utilities
                                                                                                                        • 5b: Macro Expansion
                                                                                                                        • 5c: Compiler Backend & Prettyprinter
                                                                                                                        • 5d: Parser
                                                                                                                        • 5e: Molds and mold builders
                                                                                                                        • 5f: Profiling support
                                                                                                                        • Zuse

                                                                                                                          • Table of Contents
                                                                                                                          • 2d(1-5): To JSON, Wains
                                                                                                                          • 2d(6): From JSON
                                                                                                                          • 2d(7): From JSON (unit)
                                                                                                                          • 2e(2-3): Print & Parse JSON
                                                                                                                      • Nock

                                                                                                                        • Nock Definition
                                                                                                                        • Explanation
                                                                                                                        • Example
                                                                                                                        • Implementations
                                                                                                                        • Vere

                                                                                                                          • C Runtime System
                                                                                                                          • Land of Nouns
                                                                                                                          • API overview by prefix
                                                                                                                          • C in Urbit
                                                                                                                          • Writing Jets
                                                                                                                          • Cryptography
                                                                                                                          • Azimuth

                                                                                                                            • Overview
                                                                                                                            • Urbit HD Wallet
                                                                                                                            • Azimuth Data Flow
                                                                                                                            • Azimuth.eth
                                                                                                                            • Ecliptic.eth
                                                                                                                            • Advanced Azimuth Tools
                                                                                                                            • Life and Rift
                                                                                                                            • Layer 2

                                                                                                                              • Layer 2 Overview
                                                                                                                              • Layer 2 Actions
                                                                                                                              • Transaction Format
                                                                                                                              • Rollers
                                                                                                                              • Roller HTTP RPC-API
                                                                                                                              • Custom Roller Tutorial
                                                                                                                            • Glossary

                                                                                                                              • Ames
                                                                                                                              • Aqua
                                                                                                                              • Arm
                                                                                                                              • Arvo
                                                                                                                              • Atom
                                                                                                                              • Azimuth
                                                                                                                              • Battery
                                                                                                                              • Behn
                                                                                                                              • Bridge
                                                                                                                              • Censures
                                                                                                                              • Ceremony
                                                                                                                              • chat
                                                                                                                              • Claims
                                                                                                                              • Clay
                                                                                                                              • Comet
                                                                                                                              • Core
                                                                                                                              • Delegated Sending
                                                                                                                              • Desk
                                                                                                                              • Dill
                                                                                                                              • Document Proposal
                                                                                                                              • Dojo
                                                                                                                              • Door
                                                                                                                              • Ecliptic
                                                                                                                              • Event Log
                                                                                                                              • Eyre
                                                                                                                              • Ford
                                                                                                                              • Galaxy
                                                                                                                              • Gall
                                                                                                                              • Gate
                                                                                                                              • HD Wallet
                                                                                                                              • Hoon
                                                                                                                              • Invite Tree
                                                                                                                              • Iris
                                                                                                                              • Jael
                                                                                                                              • Jaque
                                                                                                                              • Keyfile
                                                                                                                              • Landscape
                                                                                                                              • Mark
                                                                                                                              • Moon
                                                                                                                              • Nock
                                                                                                                              • Noun
                                                                                                                              • OTA Updates
                                                                                                                              • Payload
                                                                                                                              • pH
                                                                                                                              • Pier
                                                                                                                              • Pill
                                                                                                                              • Planet
                                                                                                                              • Proxies
                                                                                                                              • Replay
                                                                                                                              • Factory Reset
                                                                                                                              • Naive rollups
                                                                                                                              • Sail/Udon
                                                                                                                              • Senate
                                                                                                                              • Ship
                                                                                                                              • ship.arvo.network
                                                                                                                              • Star
                                                                                                                              • |sync
                                                                                                                              • Trap
                                                                                                                              • Upgrade Proposal
                                                                                                                              • Vane
                                                                                                                              • Vere
                                                                                                                              • Voting
                                                                                                                              • Wallet-Generator
                                                                                                                              Urbit/Documentation/Hoon/Reference/Standard library

                                                                                                                              5a: Compiler Utilities

                                                                                                                              These functions are used internally by the compiler. They should not be used directly and are only listed here for completeness.

                                                                                                                              ++musk

                                                                                                                              Nock with block set

                                                                                                                              Source

                                                                                                                              This function is extremely large, please refer to hoon.hoon for the source.


                                                                                                                              ++bool

                                                                                                                              Make loobean

                                                                                                                              Source

                                                                                                                              ++  bool  `type`(fork [%atom %f `0] [%atom %f `1] ~)
                                                                                                                              

                                                                                                                              ++cell

                                                                                                                              Make %cell type

                                                                                                                              Source

                                                                                                                              ++  cell
                                                                                                                                ~/  %cell
                                                                                                                                |=  [hed=type tal=type]
                                                                                                                                ^-  type
                                                                                                                                ?:(=(%void hed) %void ?:(=(%void tal) %void [%cell hed tal]))
                                                                                                                              

                                                                                                                              ++core

                                                                                                                              Make %core type

                                                                                                                              Source

                                                                                                                              ++  core
                                                                                                                                ~/  %core
                                                                                                                                |=  [pac=type con=coil]
                                                                                                                                ^-  type
                                                                                                                                ?:(=(%void pac) %void [%core pac con])
                                                                                                                              

                                                                                                                              ++hint

                                                                                                                              Make %hint type

                                                                                                                              Source

                                                                                                                              ++  hint
                                                                                                                                |=  [p=(pair type note) q=type]
                                                                                                                                ^-  type
                                                                                                                                ?:  =(%void q)  %void
                                                                                                                                ?:  =(%noun q)  %noun
                                                                                                                                [%hint p q]
                                                                                                                              

                                                                                                                              ++face

                                                                                                                              Make %face type

                                                                                                                              Source

                                                                                                                              ++  face
                                                                                                                                ~/  %face
                                                                                                                                |=  [giz=$@(term tune) der=type]
                                                                                                                                ^-  type
                                                                                                                                ?:  =(%void der)
                                                                                                                                  %void
                                                                                                                                [%face giz der]
                                                                                                                              

                                                                                                                              ++fork

                                                                                                                              Make %fork type

                                                                                                                              Source

                                                                                                                              ++  fork
                                                                                                                                ~/  %fork
                                                                                                                                |=  yed=(list type)
                                                                                                                                =|  lez=(set type)
                                                                                                                                |-  ^-  type
                                                                                                                                ?~  yed
                                                                                                                                  ?~  lez  %void
                                                                                                                                  ?:  ?=([* ~ ~] lez)  n.lez
                                                                                                                                  [%fork lez]
                                                                                                                                %=    $
                                                                                                                                    yed  t.yed
                                                                                                                                    lez
                                                                                                                                  ?:  =(%void i.yed)  lez
                                                                                                                                  ?:  ?=([%fork *] i.yed)  (~(uni in lez) p.i.yed)
                                                                                                                                  (~(put in lez) i.yed)
                                                                                                                                ==
                                                                                                                              

                                                                                                                              ++cove

                                                                                                                              Extract [0 *] axis

                                                                                                                              Source

                                                                                                                              ++  cove
                                                                                                                                |=  nug=nock
                                                                                                                                ?-    nug
                                                                                                                                    [%0 *]   p.nug
                                                                                                                                    [%11 *]  $(nug q.nug)
                                                                                                                                    *        ~_(leaf+"cove" !!)
                                                                                                                                ==
                                                                                                                              

                                                                                                                              ++comb

                                                                                                                              Combine two formulas

                                                                                                                              Source

                                                                                                                              ++  comb
                                                                                                                                ~/  %comb
                                                                                                                                |=  [mal=nock buz=nock]
                                                                                                                                ^-  nock
                                                                                                                                ?:  ?&(?=([%0 *] mal) !=(0 p.mal))
                                                                                                                                  ?:  ?&(?=([%0 *] buz) !=(0 p.buz))
                                                                                                                                    [%0 (peg p.mal p.buz)]
                                                                                                                                  ?:  ?=([%2 [%0 *] [%0 *]] buz)
                                                                                                                                    [%2 [%0 (peg p.mal p.p.buz)] [%0 (peg p.mal p.q.buz)]]
                                                                                                                                  [%7 mal buz]
                                                                                                                                ?:  ?=([^ [%0 %1]] mal)
                                                                                                                                  [%8 p.mal buz]
                                                                                                                                ?:  =([%0 %1] buz)
                                                                                                                                  mal
                                                                                                                                [%7 mal buz]
                                                                                                                              

                                                                                                                              ++cond

                                                                                                                              ?: compile

                                                                                                                              Source

                                                                                                                              ++  cond
                                                                                                                                ~/  %cond
                                                                                                                                |=  [pex=nock yom=nock woq=nock]
                                                                                                                                ^-  nock
                                                                                                                                ?-  pex
                                                                                                                                  [%1 %0]  yom
                                                                                                                                  [%1 %1]  woq
                                                                                                                                  *        [%6 pex yom woq]
                                                                                                                                ==
                                                                                                                              

                                                                                                                              ++cons

                                                                                                                              Make formula cell

                                                                                                                              Source

                                                                                                                              ++  cons
                                                                                                                                ~/  %cons
                                                                                                                                |=  [vur=nock sed=nock]
                                                                                                                                ^-  nock
                                                                                                                                ::  this optimization can remove crashes which are essential
                                                                                                                                ::
                                                                                                                                ::  ?:  ?=([[%0 *] [%0 *]] +<)
                                                                                                                                ::  ?:  ?&(=(+(p.vur) p.sed) =((div p.vur 2) (div p.sed 2)))
                                                                                                                                ::    [%0 (div p.vur 2)]
                                                                                                                                ::  [vur sed]
                                                                                                                                ?:  ?=([[%1 *] [%1 *]] +<)
                                                                                                                                  [%1 p.vur p.sed]
                                                                                                                                [vur sed]
                                                                                                                              

                                                                                                                              ++fitz

                                                                                                                              Aura compatibility

                                                                                                                              Source

                                                                                                                              ++  fitz
                                                                                                                                ~/  %fitz
                                                                                                                                |=  [yaz=term wix=term]
                                                                                                                                =+  ^=  fiz
                                                                                                                                    |=  mot=@ta  ^-  [p=@ q=@ta]
                                                                                                                                    =+  len=(met 3 mot)
                                                                                                                                    ?:  =(0 len)
                                                                                                                                      [0 %$]
                                                                                                                                    =+  tyl=(rsh [3 (dec len)] mot)
                                                                                                                                    ?:  &((gte tyl 'A') (lte tyl 'Z'))
                                                                                                                                      [(sub tyl 64) (end [3 (dec len)] mot)]
                                                                                                                                    [0 mot]
                                                                                                                                =+  [yoz=(fiz yaz) wux=(fiz wix)]
                                                                                                                                ?&  ?|  =(0 p.yoz)
                                                                                                                                        =(0 p.wux)
                                                                                                                                        &(!=(0 p.wux) (lte p.wux p.yoz))
                                                                                                                                    ==
                                                                                                                                    |-  ?|  =(%$ p.yoz)
                                                                                                                                            =(%$ p.wux)
                                                                                                                                            ?&  =((end 3 p.yoz) (end 3 p.wux))
                                                                                                                                                $(p.yoz (rsh 3 p.yoz), p.wux (rsh 3 p.wux))
                                                                                                                                            ==
                                                                                                                                        ==
                                                                                                                                ==
                                                                                                                              

                                                                                                                              ++flan

                                                                                                                              Loobean &

                                                                                                                              Source

                                                                                                                              ++  flan
                                                                                                                                ~/  %flan
                                                                                                                                |=  [bos=nock nif=nock]
                                                                                                                                ^-  nock
                                                                                                                                ?:  =(bos nif)  bos
                                                                                                                                ?:  =([%0 0] bos)  nif
                                                                                                                                ?:  =([%0 0] nif)  bos
                                                                                                                                ?-    bos
                                                                                                                                    [%1 %1]   bos
                                                                                                                                    [%1 %0]   nif
                                                                                                                                    *
                                                                                                                                  ?-    nif
                                                                                                                                      [%1 %1]   nif
                                                                                                                                      [%1 %0]   bos
                                                                                                                                      *       [%6 bos nif [%1 1]]
                                                                                                                                  ==
                                                                                                                                ==
                                                                                                                              

                                                                                                                              ++flip

                                                                                                                              Loobean negation

                                                                                                                              Source

                                                                                                                              ++  flip
                                                                                                                                ~/  %flip
                                                                                                                                |=  dyr=nock
                                                                                                                                ?:  =([%0 0] dyr)  dyr
                                                                                                                                [%6 dyr [%1 1] [%1 0]]
                                                                                                                              

                                                                                                                              ++flor

                                                                                                                              Loobean |

                                                                                                                              Source

                                                                                                                              ++  flor
                                                                                                                                ~/  %flor
                                                                                                                                |=  [bos=nock nif=nock]
                                                                                                                                ^-  nock
                                                                                                                                ?:  =(bos nif)  bos
                                                                                                                                ?:  =([%0 0] bos)  nif
                                                                                                                                ?:  =([%0 0] nif)  bos
                                                                                                                                ?-  bos
                                                                                                                                    [%1 %1]   nif
                                                                                                                                    [%1 %0]   bos
                                                                                                                                    *
                                                                                                                                  ?-  nif
                                                                                                                                      [%1 %1]   bos
                                                                                                                                      [%1 %0]   nif
                                                                                                                                      *         [%6 bos [%1 0] nif]
                                                                                                                                  ==
                                                                                                                                ==
                                                                                                                              

                                                                                                                              ++hike

                                                                                                                              Compiler utility

                                                                                                                              Source

                                                                                                                              ++  hike
                                                                                                                                ~/  %hike
                                                                                                                                |=  [a=axis pac=(list (pair axis nock))]
                                                                                                                                |^  =/  rel=(map axis nock)  (roll pac insert)
                                                                                                                                    =/  ord=(list axis)      (sort ~(tap in ~(key by rel)) gth)
                                                                                                                                    |-  ^-  nock
                                                                                                                                    ?~  ord
                                                                                                                                      [%0 a]
                                                                                                                                    =/  b=axis  i.ord
                                                                                                                                    =/  c=nock  (~(got by rel) b)
                                                                                                                                    =/  d=nock  $(ord t.ord)
                                                                                                                                    [%10 [b c] d]
                                                                                                                                ::
                                                                                                                                ++  contains
                                                                                                                                  |=  [container=axis contained=axis]
                                                                                                                                  ^-  ?
                                                                                                                                  =/  big=@    (met 0 container)
                                                                                                                                  =/  small=@  (met 0 contained)
                                                                                                                                  ?:  (lte small big)  |
                                                                                                                                  =/  dif=@  (sub small big)
                                                                                                                                  =(container (rsh [0 dif] contained))
                                                                                                                                ::
                                                                                                                                ++  parent
                                                                                                                                  |=  a=axis
                                                                                                                                  `axis`(rsh 0 a)
                                                                                                                                ::
                                                                                                                                ++  sibling
                                                                                                                                  |=  a=axis
                                                                                                                                  ^-  axis
                                                                                                                                  ?~  (mod a 2)
                                                                                                                                    +(a)
                                                                                                                                  (dec a)
                                                                                                                                ::
                                                                                                                                ++  insert
                                                                                                                                  |=  [e=[axe=axis fol=nock] n=(map axis nock)]
                                                                                                                                  ^-  (map axis nock)
                                                                                                                                  ?:  =/  a=axis  axe.e
                                                                                                                                      |-  ^-  ?
                                                                                                                                      ?:  =(1 a)  |
                                                                                                                                      ?:  (~(has by n) a)
                                                                                                                                        &
                                                                                                                                      $(a (parent a))
                                                                                                                                    ::  parent already in
                                                                                                                                    n
                                                                                                                                  =.  n
                                                                                                                                    ::  remove children
                                                                                                                                    %+  roll  ~(tap by n)
                                                                                                                                    |=  [[axe=axis fol=nock] m=_n]
                                                                                                                                    ?.  (contains axe.e axe)  m
                                                                                                                                    (~(del by m) axe)
                                                                                                                                  =/  sib  (sibling axe.e)
                                                                                                                                  =/  un   (~(get by n) sib)
                                                                                                                                  ?~  un   (~(put by n) axe.e fol.e)
                                                                                                                                  ::  replace sibling with parent
                                                                                                                                  %=  $
                                                                                                                                    n  (~(del by n) sib)
                                                                                                                                    e  :-  (parent sib)
                                                                                                                                       ?:  (gth sib axe.e)
                                                                                                                                         (cons fol.e u.un)
                                                                                                                                       (cons u.un fol.e)
                                                                                                                                  ==
                                                                                                                                --
                                                                                                                              

                                                                                                                              ++jock

                                                                                                                              Compiler utility

                                                                                                                              Source

                                                                                                                              ++  jock
                                                                                                                                |=  rad=?
                                                                                                                                |=  lot=coin  ^-  hoon
                                                                                                                                ?-    -.lot
                                                                                                                                    ~
                                                                                                                                  ?:(rad [%rock p.lot] [%sand p.lot])
                                                                                                                                ::
                                                                                                                                    %blob
                                                                                                                                  ?:  rad
                                                                                                                                    [%rock %$ p.lot]
                                                                                                                                  ?@(p.lot [%sand %$ p.lot] [$(p.lot -.p.lot) $(p.lot +.p.lot)])
                                                                                                                                ::
                                                                                                                                    %many
                                                                                                                                  [%cltr (turn p.lot |=(a=coin ^$(lot a)))]
                                                                                                                                ==
                                                                                                                              

                                                                                                                              ++look

                                                                                                                              Compiler utility

                                                                                                                              Source

                                                                                                                              ++  look
                                                                                                                                ~/  %look
                                                                                                                                |=  [cog=term dab=(map term hoon)]
                                                                                                                                =+  axe=1
                                                                                                                                |-  ^-  (unit [p=axis q=hoon])
                                                                                                                                ?-  dab
                                                                                                                                    ~  ~
                                                                                                                                ::
                                                                                                                                    [* ~ ~]
                                                                                                                                  ?:(=(cog p.n.dab) [~ axe q.n.dab] ~)
                                                                                                                                ::
                                                                                                                                    [* ~ *]
                                                                                                                                  ?:  =(cog p.n.dab)
                                                                                                                                    [~ (peg axe 2) q.n.dab]
                                                                                                                                  ?:  (gor cog p.n.dab)
                                                                                                                                    ~
                                                                                                                                  $(axe (peg axe 3), dab r.dab)
                                                                                                                                ::
                                                                                                                                    [* * ~]
                                                                                                                                  ?:  =(cog p.n.dab)
                                                                                                                                    [~ (peg axe 2) q.n.dab]
                                                                                                                                  ?:  (gor cog p.n.dab)
                                                                                                                                    $(axe (peg axe 3), dab l.dab)
                                                                                                                                  ~
                                                                                                                                ::
                                                                                                                                    [* * *]
                                                                                                                                  ?:  =(cog p.n.dab)
                                                                                                                                    [~ (peg axe 2) q.n.dab]
                                                                                                                                  ?:  (gor cog p.n.dab)
                                                                                                                                    $(axe (peg axe 6), dab l.dab)
                                                                                                                                  $(axe (peg axe 7), dab r.dab)
                                                                                                                                ==
                                                                                                                              

                                                                                                                              ++loot

                                                                                                                              Compiler utility

                                                                                                                              Source

                                                                                                                              ++  loot
                                                                                                                                ~/  %loot
                                                                                                                                |=  [cog=term dom=(map term tome)]
                                                                                                                                =+  axe=1
                                                                                                                                |-  ^-  (unit [p=axis q=hoon])
                                                                                                                                ?-  dom
                                                                                                                                    ~  ~
                                                                                                                                ::
                                                                                                                                    [* ~ ~]
                                                                                                                                  %+  bind  (look cog q.q.n.dom)
                                                                                                                                  |=((pair axis hoon) [(peg axe p) q])
                                                                                                                                ::
                                                                                                                                    [* ~ *]
                                                                                                                                  =+  yep=(look cog q.q.n.dom)
                                                                                                                                  ?^  yep
                                                                                                                                    [~ (peg (peg axe 2) p.u.yep) q.u.yep]
                                                                                                                                  $(axe (peg axe 3), dom r.dom)
                                                                                                                                ::
                                                                                                                                    [* * ~]
                                                                                                                                  =+  yep=(look cog q.q.n.dom)
                                                                                                                                  ?^  yep
                                                                                                                                    [~ (peg (peg axe 2) p.u.yep) q.u.yep]
                                                                                                                                  $(axe (peg axe 3), dom l.dom)
                                                                                                                                ::
                                                                                                                                    [* * *]
                                                                                                                                  =+  yep=(look cog q.q.n.dom)
                                                                                                                                  ?^  yep
                                                                                                                                    [~ (peg (peg axe 2) p.u.yep) q.u.yep]
                                                                                                                                  =+  pey=$(axe (peg axe 6), dom l.dom)
                                                                                                                                  ?^  pey  pey
                                                                                                                                  $(axe (peg axe 7), dom r.dom)
                                                                                                                                ==
                                                                                                                              

                                                                                                                              <-

                                                                                                                              4o: Molds

                                                                                                                              5b: Macro Expansion

                                                                                                                              ->

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