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

                                                                                                                              4k: Atom Printing

                                                                                                                              ++co

                                                                                                                              Literal rendering engine

                                                                                                                              ++co contains three parts:

                                                                                                                              • A door that contains arms that operate on the sample coin lot.
                                                                                                                              • A core of rendering idioms.
                                                                                                                              • A core of additional formatting functions used internally.

                                                                                                                              Accepts

                                                                                                                              lot is a coin.

                                                                                                                              Source

                                                                                                                              The arm begins with the door:

                                                                                                                              ++  co
                                                                                                                                !:
                                                                                                                                ~%  %co  ..co  ~
                                                                                                                                =<  |_  lot=coin
                                                                                                                              

                                                                                                                              Then after that the rendering idiom core begins with:

                                                                                                                              =|  rep=tape
                                                                                                                              =<  |%
                                                                                                                              

                                                                                                                              And finally the third core:

                                                                                                                              |%
                                                                                                                              

                                                                                                                              ++rear:co

                                                                                                                              Prepend & render as tape

                                                                                                                              Renders a coin lot as a tape prepended to the sample tape rom.

                                                                                                                              Accepts

                                                                                                                              lot is a coin, and is the sample of ++co.

                                                                                                                              rom is a tape.

                                                                                                                              Produces

                                                                                                                              A tape.

                                                                                                                              Source

                                                                                                                              ++  rear  |=(rom=tape rend(rep rom))
                                                                                                                              

                                                                                                                              Examples

                                                                                                                              > (~(rear co %$ %ux 200) "--ha")
                                                                                                                              "0xc8--ha"

                                                                                                                              ++rent:co

                                                                                                                              Render as knot

                                                                                                                              Renders a coin lot as a knot.

                                                                                                                              Accepts

                                                                                                                              lot is a coin, and is the sample of ++co.

                                                                                                                              Produces

                                                                                                                              A knot.

                                                                                                                              Source

                                                                                                                              ++  rent  ~+  `@ta`(rap 3 rend)
                                                                                                                              

                                                                                                                              Examples

                                                                                                                              > ~(rent co %$ %ux 200)
                                                                                                                              ~.0xc8
                                                                                                                              
                                                                                                                              > `@t`~(rent co %$ %ux 200)
                                                                                                                              '0xc8'

                                                                                                                              ++rend:co

                                                                                                                              Render as tape

                                                                                                                              Renders a coin lot as a tape.

                                                                                                                              Accepts

                                                                                                                              lot is a coin, and is the sample of ++co.

                                                                                                                              Produces

                                                                                                                              A tape.

                                                                                                                              Source

                                                                                                                              ++  rend
                                                                                                                                ^-  tape
                                                                                                                                ~+
                                                                                                                                ?:  ?=(%blob -.lot)
                                                                                                                                  ['~' '0' ((v-co 1) (jam p.lot))]
                                                                                                                                ?:  ?=(%many -.lot)
                                                                                                                                  :-  '.'
                                                                                                                                  |-  ^-  tape
                                                                                                                                  ?~   p.lot
                                                                                                                                    ['_' '_' rep]
                                                                                                                                  ['_' (weld (trip (wack rent(lot i.p.lot))) $(p.lot t.p.lot))]
                                                                                                                                =+  [yed=(end 3 p.p.lot) hay=(cut 3 [1 1] p.p.lot)]
                                                                                                                                |-  ^-  tape
                                                                                                                                ?+    yed  (z-co q.p.lot)
                                                                                                                                    %c   ['~' '-' (weld (rip 3 (wood (tuft q.p.lot))) rep)]
                                                                                                                                    %d
                                                                                                                                  ?+    hay  (z-co q.p.lot)
                                                                                                                                      %a
                                                                                                                                    =+  yod=(yore q.p.lot)
                                                                                                                                    =?  rep  ?=(^ f.t.yod)  ['.' (s-co f.t.yod)]
                                                                                                                                    =?  rep  !&(?=(~ f) =(0 h) =(0 m) =(0 s)):t.yod
                                                                                                                                      =.  rep  ['.' (y-co s.t.yod)]
                                                                                                                                      =.  rep  ['.' (y-co m.t.yod)]
                                                                                                                                      ['.' '.' (y-co h.t.yod)]
                                                                                                                                    =.  rep  ['.' (a-co d.t.yod)]
                                                                                                                                    =.  rep  ['.' (a-co m.yod)]
                                                                                                                                    =?  rep  !a.yod  ['-' rep]
                                                                                                                                    ['~' (a-co y.yod)]
                                                                                                                                  ::
                                                                                                                                      %r
                                                                                                                                    =+  yug=(yell q.p.lot)
                                                                                                                                    =?  rep  ?=(^ f.yug)  ['.' (s-co f.yug)]
                                                                                                                                    :-  '~'
                                                                                                                                    ?:  &(=(0 d.yug) =(0 m.yug) =(0 h.yug) =(0 s.yug))
                                                                                                                                      ['s' '0' rep]
                                                                                                                                    =?  rep  !=(0 s.yug)  ['.' 's' (a-co s.yug)]
                                                                                                                                    =?  rep  !=(0 m.yug)  ['.' 'm' (a-co m.yug)]
                                                                                                                                    =?  rep  !=(0 h.yug)  ['.' 'h' (a-co h.yug)]
                                                                                                                                    =?  rep  !=(0 d.yug)  ['.' 'd' (a-co d.yug)]
                                                                                                                                    +.rep
                                                                                                                                  ==
                                                                                                                                ::
                                                                                                                                    %f
                                                                                                                                  ?:  =(& q.p.lot)
                                                                                                                                    ['.' 'y' rep]
                                                                                                                                  ?:(=(| q.p.lot) ['.' 'n' rep] (z-co q.p.lot))
                                                                                                                                ::
                                                                                                                                    %n   ['~' rep]
                                                                                                                                    %i
                                                                                                                                  ?+  hay  (z-co q.p.lot)
                                                                                                                                    %f  ((ro-co [3 10 4] |=(a=@ ~(d ne a))) q.p.lot)
                                                                                                                                    %s  ((ro-co [4 16 8] |=(a=@ ~(x ne a))) q.p.lot)
                                                                                                                                  ==
                                                                                                                                ::
                                                                                                                                    %p
                                                                                                                                  =+  sxz=(fein:ob q.p.lot)
                                                                                                                                  =+  dyx=(met 3 sxz)
                                                                                                                                  :-  '~'
                                                                                                                                  ?:  (lte dyx 1)
                                                                                                                                    (weld (trip (tod:po sxz)) rep)
                                                                                                                                  =+  dyy=(met 4 sxz)
                                                                                                                                  =|  imp=@ud
                                                                                                                                  |-  ^-  tape
                                                                                                                                  ?:  =(imp dyy)
                                                                                                                                    rep
                                                                                                                                  %=  $
                                                                                                                                    imp  +(imp)
                                                                                                                                    rep  =/  log  (cut 4 [imp 1] sxz)
                                                                                                                                         ;:  weld
                                                                                                                                           (trip (tos:po (rsh 3 log)))
                                                                                                                                           (trip (tod:po (end 3 log)))
                                                                                                                                           ?:(=((mod imp 4) 0) ?:(=(imp 0) "" "--") "-")
                                                                                                                                           rep
                                                                                                                                  ==     ==
                                                                                                                                ::
                                                                                                                                    %q
                                                                                                                                  :+  '.'  '~'
                                                                                                                                  =;  res=(pair ? tape)
                                                                                                                                    (weld q.res rep)
                                                                                                                                  %+  roll
                                                                                                                                    =*  val  q.p.lot
                                                                                                                                    ?:(=(0 val) ~[0] (rip 3 val))
                                                                                                                                  |=  [q=@ s=? r=tape]
                                                                                                                                  :-  !s
                                                                                                                                  %+  weld
                                                                                                                                   (trip (?:(s tod:po tos:po) q))
                                                                                                                                  ?.(&(s !=(r "")) r ['-' r])
                                                                                                                                ::
                                                                                                                                    %r
                                                                                                                                  ?+  hay  (z-co q.p.lot)
                                                                                                                                    %d  ['.' '~' (r-co (rlyd q.p.lot))]
                                                                                                                                    %h  ['.' '~' '~' (r-co (rlyh q.p.lot))]
                                                                                                                                    %q  ['.' '~' '~' '~' (r-co (rlyq q.p.lot))]
                                                                                                                                    %s  ['.' (r-co (rlys q.p.lot))]
                                                                                                                                  ==
                                                                                                                                ::
                                                                                                                                    %u
                                                                                                                                  ?:  ?=(%c hay)
                                                                                                                                    %+  welp  ['0' 'c' (reap (pad:fa q.p.lot) '1')]
                                                                                                                                    (c-co (enc:fa q.p.lot))
                                                                                                                                  ::
                                                                                                                                  =;  gam=(pair tape tape)
                                                                                                                                    (weld p.gam ?:(=(0 q.p.lot) `tape`['0' ~] q.gam))
                                                                                                                                  ?+  hay  [~ ((ox-co [10 3] |=(a=@ ~(d ne a))) q.p.lot)]
                                                                                                                                    %b  [['0' 'b' ~] ((ox-co [2 4] |=(a=@ ~(d ne a))) q.p.lot)]
                                                                                                                                    %i  [['0' 'i' ~] ((d-co 1) q.p.lot)]
                                                                                                                                    %x  [['0' 'x' ~] ((ox-co [16 4] |=(a=@ ~(x ne a))) q.p.lot)]
                                                                                                                                    %v  [['0' 'v' ~] ((ox-co [32 5] |=(a=@ ~(x ne a))) q.p.lot)]
                                                                                                                                    %w  [['0' 'w' ~] ((ox-co [64 5] |=(a=@ ~(w ne a))) q.p.lot)]
                                                                                                                                  ==
                                                                                                                                ::
                                                                                                                                    %s
                                                                                                                                  %+  weld
                                                                                                                                    ?:((syn:si q.p.lot) "--" "-")
                                                                                                                                  $(yed 'u', q.p.lot (abs:si q.p.lot))
                                                                                                                                ::
                                                                                                                                    %t
                                                                                                                                  ?:  =('a' hay)
                                                                                                                                    ?:  =('s' (cut 3 [2 1] p.p.lot))
                                                                                                                                      (weld (rip 3 q.p.lot) rep)
                                                                                                                                    ['~' '.' (weld (rip 3 q.p.lot) rep)]
                                                                                                                                  ['~' '~' (weld (rip 3 (wood q.p.lot)) rep)]
                                                                                                                                ==
                                                                                                                              

                                                                                                                              Examples

                                                                                                                              > ~(rend co %$ %ux 200)
                                                                                                                              "0xc8"
                                                                                                                              
                                                                                                                              > ~(rend co %many ~[[%$ ux+200] [%$ p+40]])
                                                                                                                              "._0xc8_~~tem__"
                                                                                                                              
                                                                                                                              > ~(rend co %$ %p 32.819)
                                                                                                                              "~lasmev"
                                                                                                                              
                                                                                                                              > ~(rend co %$ %ux 18)
                                                                                                                              "0x12"
                                                                                                                              
                                                                                                                              > ~(rend co [%$ p=[p=%if q=0x7f00.0001]])
                                                                                                                              ".127.0.0.1"
                                                                                                                              
                                                                                                                              > ~(rend co %many ~[[%$ %ud 20] [%$ %uw 133] [%$ %tas 'sam']])
                                                                                                                              "._20_0w25_sam__"
                                                                                                                              
                                                                                                                              > ~(rend co %blob [1 1])
                                                                                                                              "~0ph"

                                                                                                                              ++a-co:co

                                                                                                                              Render decimal

                                                                                                                              Render dat as a decimal integer without separators.

                                                                                                                              Accepts

                                                                                                                              dat is an atom.

                                                                                                                              Produces

                                                                                                                              A tape

                                                                                                                              Source

                                                                                                                              ++  a-co  |=(dat=@ ((d-co 1) dat))
                                                                                                                              

                                                                                                                              Examples

                                                                                                                              > (a-co:co 123.456.789)
                                                                                                                              "123456789"

                                                                                                                              ++c-co:co

                                                                                                                              Render base58check

                                                                                                                              Renders the given atom as a base58check tape.

                                                                                                                              Accepts

                                                                                                                              An atom.

                                                                                                                              Produces

                                                                                                                              A tape.

                                                                                                                              Source

                                                                                                                              ++  c-co  (em-co [58 1] |=([? b=@ c=tape] [~(c ne b) c]))
                                                                                                                              

                                                                                                                              Examples

                                                                                                                              > (enc:fa 0xdead.beef)
                                                                                                                              0xdead.beef.938b.8b0c
                                                                                                                              
                                                                                                                              > (c-co:co 0xdead.beef.938b.8b0c)
                                                                                                                              "eFGDJSVvRHd"

                                                                                                                              ++d-co:co

                                                                                                                              Render decimal with min length

                                                                                                                              Render hol as a decimal integer without separators and with a minimum length of min. If hol has less than min digits, leading zeros will be added to make up the difference.

                                                                                                                              Accepts

                                                                                                                              min is an atom.

                                                                                                                              hol is an atom.

                                                                                                                              Produces

                                                                                                                              A tape.

                                                                                                                              Source

                                                                                                                              ++  d-co  |=(min=@ (em-co [10 min] |=([? b=@ c=tape] [~(d ne b) c])))
                                                                                                                              

                                                                                                                              Examples

                                                                                                                              > ((d-co:co 1) 123.456)
                                                                                                                              "123456"
                                                                                                                              
                                                                                                                              > ((d-co:co 9) 123.456)
                                                                                                                              "000123456"

                                                                                                                              ++r-co:co

                                                                                                                              Render floating point

                                                                                                                              Render decimal float a as a tape.

                                                                                                                              Accepts

                                                                                                                              a is a ++dn.

                                                                                                                              Produces

                                                                                                                              A tape.

                                                                                                                              Source

                                                                                                                              ++  r-co
                                                                                                                                |=  a=dn
                                                                                                                                ?:  ?=([%i *] a)  (weld ?:(s.a "inf" "-inf") rep)
                                                                                                                                ?:  ?=([%n *] a)  (weld "nan" rep)
                                                                                                                                =;  rep  ?:(s.a rep ['-' rep])
                                                                                                                                =/  f  ((d-co 1) a.a)
                                                                                                                                =^  e  e.a
                                                                                                                                  =/  e=@s  (sun:si (lent f))
                                                                                                                                  =/  sci  :(sum:si e.a e -1)
                                                                                                                                  ?:  (syn:si (dif:si e.a --3))  [--1 sci]  :: 12000 -> 12e3 e>+2
                                                                                                                                  ?:  !(syn:si (dif:si sci -2))  [--1 sci]  :: 0.001 -> 1e-3 e<-2
                                                                                                                                  [(sum:si sci --1) --0] :: 1.234e2 -> '.'@3 -> 123 .4
                                                                                                                                =?  rep  !=(--0 e.a)
                                                                                                                                  :(weld ?:((syn:si e.a) "e" "e-") ((d-co 1) (abs:si e.a)))
                                                                                                                                (weld (ed-co e f) rep)
                                                                                                                              

                                                                                                                              Examples

                                                                                                                              > `tape`(r-co:co (rlys .3.14))
                                                                                                                              "3.14"
                                                                                                                              
                                                                                                                              > `tape`(r-co:co (rlys .1.681557e-39))
                                                                                                                              "1.681557e-39"

                                                                                                                              ++s-co:co

                                                                                                                              Render hex list

                                                                                                                              Render esc, a list of atoms, as hex with a dot before each value. Values less than two bytes in length will be padded with zeros.

                                                                                                                              Accepts

                                                                                                                              esc is a (list @).

                                                                                                                              Produces

                                                                                                                              A tape.

                                                                                                                              Source

                                                                                                                              ++  s-co
                                                                                                                                |=  esc=(list @)  ^-  tape
                                                                                                                                ?~  esc  rep
                                                                                                                                ['.' =>(.(rep $(esc t.esc)) ((x-co 4) i.esc))]
                                                                                                                              

                                                                                                                              Examples

                                                                                                                              > `tape`(s-co:co ~[0xdead 0xbeef 0xcafe])
                                                                                                                              ".dead.beef.cafe"
                                                                                                                              
                                                                                                                              > `tape`(s-co:co ~[0xa 0xb 0xc])
                                                                                                                              ".000a.000b.000c"
                                                                                                                              
                                                                                                                              > `tape`(s-co:co ~[0xdead.beef])
                                                                                                                              ".deadbeef"

                                                                                                                              ++v-co:co

                                                                                                                              Render base-32 with minimum length

                                                                                                                              Render hol as base-32 with a minimum length of min. If hol is shorter than min it will be padded with zeros.

                                                                                                                              Accepts

                                                                                                                              min is a @ud.

                                                                                                                              hol is an atom.

                                                                                                                              Produces

                                                                                                                              A tape.

                                                                                                                              Source

                                                                                                                              ++  v-co  |=(min=@ (em-co [32 min] |=([? b=@ c=tape] [~(v ne b) c])))
                                                                                                                              

                                                                                                                              Examples

                                                                                                                              > `tape`((v-co:co 1) 0v2l7.eiug3.0mbd9)
                                                                                                                              "2l7eiug30mbd9"
                                                                                                                              
                                                                                                                              > `tape`((v-co:co 20) 0v2l7.eiug3.0mbd9)
                                                                                                                              "00000002l7eiug30mbd9"

                                                                                                                              ++w-co:co

                                                                                                                              Render base-64 with minimum length

                                                                                                                              Render hol as base-64 with a minimum length of min. If hol is horter than min it will be padded with zeros.

                                                                                                                              Accepts

                                                                                                                              min is a @ud.

                                                                                                                              hol is an atom.

                                                                                                                              Produces

                                                                                                                              A tape.

                                                                                                                              Source

                                                                                                                              ++  w-co  |=(min=@ (em-co [64 min] |=([? b=@ c=tape] [~(w ne b) c])))
                                                                                                                              

                                                                                                                              Examples

                                                                                                                              > `tape`((w-co:co 1) 0w2.OtBSR.pPVeT)
                                                                                                                              "2OtBSRpPVeT"
                                                                                                                              
                                                                                                                              > `tape`((w-co:co 20) 0w2.OtBSR.pPVeT)
                                                                                                                              "0000000002OtBSRpPVeT"

                                                                                                                              ++x-co:co

                                                                                                                              Render hex with minimum length

                                                                                                                              Render hol as hex with a minimum length of min. If hol is horter than min it will be padded with zeros.

                                                                                                                              Accepts

                                                                                                                              min is a @ud.

                                                                                                                              hol is an atom.

                                                                                                                              Produces

                                                                                                                              A tape.

                                                                                                                              Source

                                                                                                                              ++  x-co  |=(min=@ (em-co [16 min] |=([? b=@ c=tape] [~(x ne b) c])))
                                                                                                                              

                                                                                                                              Examples

                                                                                                                              > `tape`((x-co:co 1) 0xdead.beef)
                                                                                                                              "deadbeef"
                                                                                                                              
                                                                                                                              > `tape`((x-co:co 20) 0xdead.beef)
                                                                                                                              "000000000000deadbeef"

                                                                                                                              ++y-co:co

                                                                                                                              Render decimal with at least two digits

                                                                                                                              Render dat as a decimal with a minimum of two digits. If dat is less than two digits it will be padded with zeros.

                                                                                                                              Accepts

                                                                                                                              dat is an atom.

                                                                                                                              Produces

                                                                                                                              A tape.

                                                                                                                              Source

                                                                                                                              ++  y-co  |=(dat=@ ((d-co 2) dat))
                                                                                                                              

                                                                                                                              Examples

                                                                                                                              > (y-co:co 0)
                                                                                                                              "00"
                                                                                                                              
                                                                                                                              > (y-co:co 1)
                                                                                                                              "01"
                                                                                                                              
                                                                                                                              > (y-co:co 123)
                                                                                                                              "123"
                                                                                                                              
                                                                                                                              > (y-co:co 123.456)
                                                                                                                              "123456"

                                                                                                                              ++z-co:co

                                                                                                                              Render '0x'-prefixed hex

                                                                                                                              Render dat as hex with a 0x prefix.

                                                                                                                              Accepts

                                                                                                                              dat is an atom.

                                                                                                                              Produces

                                                                                                                              A tape.

                                                                                                                              Source

                                                                                                                              ++  z-co  |=(dat=@ `tape`['0' 'x' ((x-co 1) dat)])
                                                                                                                              

                                                                                                                              Examples

                                                                                                                              > (z-co:co 123)
                                                                                                                              "0x7b"
                                                                                                                              
                                                                                                                              > (z-co:co 0xdead.beef)
                                                                                                                              "0xdeadbeef"
                                                                                                                              
                                                                                                                              > (z-co:co 0)
                                                                                                                              "0x0"

                                                                                                                              ++em-co:co

                                                                                                                              Render in numeric base

                                                                                                                              In base bas, format min digits of hol with par. This is used internally by other rendering functions.

                                                                                                                              • hol is processed least-significant digit first.
                                                                                                                              • All available digits in hol will be processed, but min digits can exceed the number available in hol
                                                                                                                              • par handles all accumulated output on each call, and can edit it, prepend or append digits, etc.
                                                                                                                              • Until hol is exhausted, par's sample is [| digit output], subsequently, it's [& 0 output].

                                                                                                                              Accepts

                                                                                                                              [bas=@ min=@], where bas is the numeric base and min is the minimum length.

                                                                                                                              par is a gate of $-([? @ tape] tape).

                                                                                                                              hol is an atom.

                                                                                                                              Produces

                                                                                                                              A tape.

                                                                                                                              Source

                                                                                                                              ++  em-co
                                                                                                                                |=  [[bas=@ min=@] par=$-([? @ tape] tape)]
                                                                                                                                |=  hol=@
                                                                                                                                ^-  tape
                                                                                                                                ?:  &(=(0 hol) =(0 min))
                                                                                                                                  rep
                                                                                                                                =/  [dar=@ rad=@]  (dvr hol bas)
                                                                                                                                %=  $
                                                                                                                                  min  ?:(=(0 min) 0 (dec min))
                                                                                                                                  hol  dar
                                                                                                                                  rep  (par =(0 dar) rad rep)
                                                                                                                                ==
                                                                                                                              

                                                                                                                              Examples

                                                                                                                              > ((em-co:co [16 10] |=([? b=@ c=tape] [~(x ne b) c])) 0xbeef)
                                                                                                                              "000000beef"

                                                                                                                              ++ed-co:co

                                                                                                                              Format with decimal place

                                                                                                                              Format int by specifying its size with exp, which may be negative. This is used internally by other rendering functions.

                                                                                                                              Accepts

                                                                                                                              exp is a @s.

                                                                                                                              int is a tape.

                                                                                                                              Produces

                                                                                                                              A tape.

                                                                                                                              Source

                                                                                                                              ++  ed-co
                                                                                                                                |=  [exp=@s int=tape]  ^-  tape
                                                                                                                                =/  [pos=? dig=@u]  [=(--1 (cmp:si exp --0)) (abs:si exp)]
                                                                                                                                ?.  pos
                                                                                                                                  (into (weld (reap +(dig) '0') int) 1 '.')
                                                                                                                                =/  len  (lent int)
                                                                                                                                ?:  (lth dig len)  (into int dig '.')
                                                                                                                                (weld int (reap (sub dig len) '0'))
                                                                                                                              

                                                                                                                              Examples

                                                                                                                              > (ed-co:co --3 "100")
                                                                                                                              "100"
                                                                                                                              
                                                                                                                              > (ed-co:co --5 "100")
                                                                                                                              "10000"
                                                                                                                              
                                                                                                                              > (ed-co:co -1 "100")
                                                                                                                              "0.0100"
                                                                                                                              
                                                                                                                              > (ed-co:co -5 "100")
                                                                                                                              "0.00000100"

                                                                                                                              ++ox-co:co

                                                                                                                              Format dot-separated digits in numeric base

                                                                                                                              In base bas, format each digit of hol with gate dug, with '.' separators every gop digits. This is used internally by other rendering functions.

                                                                                                                              • hol is processed least-significant digit first.
                                                                                                                              • dug handles individual digits, output is prepended.
                                                                                                                              • Every segment but the last is zero-padded to gop.

                                                                                                                              Accepts

                                                                                                                              [bas=@ gop=@] where bas is the numeric base and gop is dot separator frequency.

                                                                                                                              dug is a gate of $-(@ @).

                                                                                                                              hol is an atom.

                                                                                                                              Produces

                                                                                                                              A tape.

                                                                                                                              Source

                                                                                                                              ++  ox-co
                                                                                                                                |=  [[bas=@ gop=@] dug=$-(@ @)]
                                                                                                                                %+  em-co
                                                                                                                                  [(pow bas gop) 0]
                                                                                                                                |=  [top=? seg=@ res=tape]
                                                                                                                                %+  weld
                                                                                                                                  ?:(top ~ `tape`['.' ~])
                                                                                                                                %.  seg
                                                                                                                                %+  em-co(rep res)
                                                                                                                                  [bas ?:(top 0 gop)]
                                                                                                                                |=([? b=@ c=tape] [(dug b) c])
                                                                                                                              

                                                                                                                              Examples

                                                                                                                              > ((ox-co:co [2 4] |=(a=@ ~(d ne a))) 0b1011.1101)
                                                                                                                              "1011.1101"
                                                                                                                              
                                                                                                                              > ((ox-co:co [2 1] |=(a=@ ~(d ne a))) 0b1011.1101)
                                                                                                                              "1.0.1.1.1.1.0.1"
                                                                                                                              
                                                                                                                              > ((ox-co:co [2 100] |=(a=@ ~(d ne a))) 0b1011.1101)
                                                                                                                              "10111101"

                                                                                                                              ++ro-co:co

                                                                                                                              Format dot-prefixed bloqs in numeric base

                                                                                                                              In base bas, for buz bloqs 0 to dop, format at least one digit of hol, prefixed with .. This is used internally for @i address rendering functions.

                                                                                                                              Accepts

                                                                                                                              [buz=@ bas=@ dop=@] where buz is the bloq size, bas is the numeric base, and dop is the number of bloqs.

                                                                                                                              dug is a gate of $-(@ @).

                                                                                                                              hol is an atom.

                                                                                                                              Produces

                                                                                                                              A tape.

                                                                                                                              Source

                                                                                                                              ++  ro-co
                                                                                                                                |=  [[buz=@ bas=@ dop=@] dug=$-(@ @)]
                                                                                                                                |=  hol=@
                                                                                                                                ^-  tape
                                                                                                                                ?:  =(0 dop)
                                                                                                                                  rep
                                                                                                                                :-  '.'
                                                                                                                                =/  pod  (dec dop)
                                                                                                                                %.  (cut buz [pod 1] hol)
                                                                                                                                %+  em-co(rep $(dop pod))
                                                                                                                                  [bas 1]
                                                                                                                                |=([? b=@ c=tape] [(dug b) c])
                                                                                                                              

                                                                                                                              Examples

                                                                                                                              > ((ro-co:co [3 10 4] |=(a=@ ~(d ne a))) .127.0.0.1)
                                                                                                                              ".127.0.0.1"

                                                                                                                              <-

                                                                                                                              4j: Parsing (Bases and Base Digits)

                                                                                                                              4l: Atom Parsing

                                                                                                                              ->

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