The Julia Language The Julia Project November 10, 2020 Contents Contents i I Manual 1 1 Julia 1.5 Documentation 3 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Sanitizer (MSAN) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1290 V Julia v1.5 Release Notes 1291 97 New language features 1293 98 Language changes 1295 99 Compiler/Runtime improvements 1313 108Tooling Improvements 1315 Part I Manual 1 Chapter 1 Julia 1.5 Documentation Welcome to the documentation for Julia 1.5. Please read the release notes to see what has changed since the last

The Julia Language The Julia Project September 24, 2020 Contents Contents i I Manual 1 1 Julia 1.5 Documentation 3 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Sanitizer (MSAN) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1290 V Julia v1.5 Release Notes 1291 97 New language features 1293 98 Language changes 1295 99 Compiler/Runtime improvements 1313 108Tooling Improvements 1315 Part I Manual 1 Chapter 1 Julia 1.5 Documentation Welcome to the documentation for Julia 1.5. Please read the release notes to see what has changed since the last

The Julia Language The Julia Project August 27, 2020 Contents Contents i I Manual 1 1 Julia 1.5 Documentation 3 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Sanitizer (MSAN) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1290 V Julia v1.5 Release Notes 1291 97 New language features 1293 98 Language changes 1295 99 Compiler/Runtime improvements 1313 108Tooling Improvements 1315 Part I Manual 1 Chapter 1 Julia 1.5 Documentation Welcome to the documentation for Julia 1.5. Please read the release notes to see what has changed since the last

The Julia Language The Julia Project August 3, 2020 Contents Contents i I Manual 1 1 Julia 1.5 Documentation 3 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Sanitizer (MSAN) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1290 V Julia v1.5 Release Notes 1291 97 New language features 1293 98 Language changes 1295 99 Compiler/Runtime improvements 1313 108Tooling Improvements 1315 Part I Manual 1 Chapter 1 Julia 1.5 Documentation Welcome to the documentation for Julia 1.5. Please read the release notes to see what has changed since the last

Contents i I Home 1 1 Julia 1.5-DEV Documentation 3 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 II Julia v1.5 Release Notes 5 2 New language . . . . . . . . . . . . . 1320 Part I Home 1 Chapter 1 Julia 1.5-DEV Documentation Welcome to the documentation for Julia 1.5-DEV. Work in progress! This documentation is for an unreleased, in-development written in Julia itself, including primitive operations like integer arithmetic 3 4 CHAPTER 1. JULIA 1.5-DEV DOCUMENTATION • A rich language of types for constructing and describing objects, that can also

Float32 julia> 2.5f-4 0.00025f0 Values can be converted to Float32 easily: julia> x = Float32(-1.5) -1.5f0 julia> typeof(x) Float32 Hexadecimal floating-point literals are also valid, but only as Float64 cleaner:CHAPTER 4. INTEGERS AND FLOATING-POINT NUMBERS 24 julia> x = 3 3 julia> 2x^2 - 3x + 1 10 julia> 1.5x^2 - .5x + 1 13.0 It also makes writing exponential functions more elegant: julia> 2^2x 64 The with the equivalent E form. • The 32-bit floating-point literal expression 1.5f22 could be interpreted as the numeric literal 1.5 multiplied by the variable f22. In all cases the ambiguity is resolved

Float32 julia> 2.5f-4 0.00025f0 Values can be converted to Float32 easily: julia> x = Float32(-1.5) -1.5f0 julia> typeof(x) Float32 Hexadecimal floating-point literals are also valid, but only as Float64 julia> x = 3 3 julia> 2x^2 - 3x + 1CHAPTER 4. INTEGERS AND FLOATING-POINT NUMBERS 24 10 julia> 1.5x^2 - .5x + 1 13.0 It also makes writing exponential functions more elegant: julia> 2^2x 64 The with the equivalent E form. • The 32-bit floating-point literal expression 1.5f22 could be interpreted as the numeric literal 1.5 multiplied by the variable f22. In all cases the ambiguity is resolved

AND FLOATING-POINT NUMBERS 21 Values can be converted to Float32 easily: julia> x = Float32(-1.5) -1.5f0 julia> typeof(x) Float32 Hexadecimal floating-point literals are also valid, but only as Float64 makes writing polynomial expressions much cleaner: julia> x = 3 3 julia> 2x^2 - 3x + 1 10 julia> 1.5x^2 - .5x + 1 13.0 It also makes writing exponential functions more elegant: julia> 2^2x 64 The with the equivalent E form. • The 32-bit floating-point literal expression 1.5f22 could be interpreted as the numeric literal 1.5 multiplied by the variable f22. In all cases the ambiguity is resolved

AND FLOATING-POINT NUMBERS 21 Values can be converted to Float32 easily: julia> x = Float32(-1.5) -1.5f0 julia> typeof(x) Float32 Hexadecimal floating-point literals are also valid, but only as Float64 makes writing polynomial expressions much cleaner: julia> x = 3 3 julia> 2x^2 - 3x + 1 10 julia> 1.5x^2 - .5x + 1 13.0 It also makes writing exponential functions more elegant: julia> 2^2x 64 The with the equivalent E form. • The 32-bit floating-point literal expression 1.5f22 could be interpreted as the numeric literal 1.5 multiplied by the variable f22.CHAPTER 5. INTEGERS AND FLOATING-POINT NUMBERS

AND FLOATING-POINT NUMBERS 21 Values can be converted to Float32 easily: julia> x = Float32(-1.5) -1.5f0 julia> typeof(x) Float32 Hexadecimal floating-point literals are also valid, but only as Float64 makes writing polynomial expressions much cleaner: julia> x = 3 3 julia> 2x^2 - 3x + 1 10 julia> 1.5x^2 - .5x + 1 13.0 It also makes writing exponential functions more elegant: julia> 2^2x 64 The with the equivalent E form. • The 32-bit floating-point literal expression 1.5f22 could be interpreted as the numeric literal 1.5 multiplied by the variable f22.CHAPTER 5. INTEGERS AND FLOATING-POINT NUMBERS