1.0 julia> 1. 1.0 julia> 0.5 0.5 julia> .5 0.5 julia> -1.23 -1.23 julia> 1e10 1.0e10 julia> 2.5e-4 0.00025 The above results are all Float64 values. Literal Float32 values can be entered by wri�ng 5f0 0.5f0 julia> typeof(ans) Float32 36 CHAPTER 11. INTEGERS AND FLOATING-POINT NUMBERS julia> 2.5f-4 0.00025f0 Values can be converted to Float32 easily: julia> Float32(-1.5) -1.5f0 julia> typeof(ans) 2im) 2 + 0im julia> (-3 + 2im) - (5 - 1im) -8 + 3im julia> (-1 + 2im)^2 -3 - 4im julia> (-1 + 2im)^2.5 2.729624464784009 - 6.9606644595719im julia> (-1 + 2im)^(1 + 1im) -0.27910381075826657 + 0.08708053414102428im

1.0 julia> 1. 1.0 julia> 0.5 0.5 julia> .5 0.5 julia> -1.23 -1.23 julia> 1e10 1.0e10 julia> 2.5e-4 0.00025 The above results are all Float64 values. Literal Float32 values can be entered by wri�ng 5f0 0.5f0 julia> typeof(ans) Float32 38 CHAPTER 12. INTEGERS AND FLOATING-POINT NUMBERS julia> 2.5f-4 0.00025f0 Values can be converted to Float32 easily: julia> Float32(-1.5) -1.5f0 julia> typeof(ans) 2im) 2 + 0im julia> (-3 + 2im) - (5 - 1im) -8 + 3im julia> (-1 + 2im)^2 -3 - 4im julia> (-1 + 2im)^2.5 2.729624464784009 - 6.9606644595719im julia> (-1 + 2im)^(1 + 1im) -0.27910381075826657 + 0.08708053414102428im

1.0 julia> 1. 1.0 julia> 0.5 0.5 julia> .5 0.5 julia> -1.23 -1.23 julia> 1e10 1.0e10 julia> 2.5e-4 0.00025 The above results are all Float64 values. Literal Float32 values can be entered by wri�ng 5f0 0.5f0 julia> typeof(ans) Float32 36 CHAPTER 11. INTEGERS AND FLOATING-POINT NUMBERS julia> 2.5f-4 0.00025f0 Values can be converted to Float32 easily: julia> Float32(-1.5) -1.5f0 julia> typeof(ans) 2im) 2 + 0im julia> (-3 + 2im) - (5 - 1im) -8 + 3im julia> (-1 + 2im)^2 -3 - 4im julia> (-1 + 2im)^2.5 2.729624464784009 - 6.9606644595719im julia> (-1 + 2im)^(1 + 1im) -0.27910381075826657 + 0.08708053414102428im

1.0 julia> 1. 1.0 julia> 0.5 0.5 julia> .5 0.5 julia> -1.23 -1.23 julia> 1e10 1.0e10 julia> 2.5e-4 0.00025 The above results are all Float64 values. Literal Float32 values can be entered by wri�ng 5f0 0.5f0 julia> typeof(ans) Float32 36 CHAPTER 11. INTEGERS AND FLOATING-POINT NUMBERS julia> 2.5f-4 0.00025f0 Values can be converted to Float32 easily: julia> Float32(-1.5) -1.5f0 julia> typeof(ans) 2im) 2 + 0im julia> (-3 + 2im) - (5 - 1im) -8 + 3im julia> (-1 + 2im)^2 -3 - 4im julia> (-1 + 2im)^2.5 2.729624464784009 - 6.9606644595719im julia> (-1 + 2im)^(1 + 1im) -0.27910381075826657 + 0.08708053414102428im

julia> 2.5e-4 0.00025 The above results are all Float64 values. Literal Float32 values can be entered by writing an f in place of e: julia> 0.5f0 0.5f0 julia> typeof(ans) Float32 julia> 2.5f-4 0 2 + 0im julia> (-3 + 2im) - (5 - 1im) -8 + 3im julia> (-1 + 2im)^2 -3 - 4im julia> (-1 + 2im)^2.5 2.729624464784009 - 6.9606644595719im julia> (-1 + 2im)^(1 + 1im) -0.27910381075826657 + 0.08708053414102428im julia> (2 + 3im) - 1 1 + 3im julia> (1 + 2im) + 0.5 1.5 + 2.0im julia> (2 + 3im) - 0.5im 2.0 + 2.5im julia> 0.75(1 + 2im) 0.75 + 1.5im julia> (2 + 3im) / 2 1.0 + 1.5im julia> (1 - 3im) / (2 + 2im)

julia> 2.5e-4 0.00025 The above results are all Float64 values. Literal Float32 values can be entered by writing an f in place of e: julia> 0.5f0 0.5f0 julia> typeof(ans) Float32 julia> 2.5f-4 0 2 + 0im julia> (-3 + 2im) - (5 - 1im) -8 + 3im julia> (-1 + 2im)^2 -3 - 4im julia> (-1 + 2im)^2.5 2.729624464784009 - 6.9606644595719im julia> (-1 + 2im)^(1 + 1im) -0.27910381075826657 + 0.08708053414102428im julia> (2 + 3im) - 1 1 + 3im julia> (1 + 2im) + 0.5 1.5 + 2.0im julia> (2 + 3im) - 0.5im 2.0 + 2.5im julia> 0.75(1 + 2im) 0.75 + 1.5im julia> (2 + 3im) / 2 1.0 + 1.5im julia> (1 - 3im) / (2 + 2im)

julia> 2.5e-4 0.00025 The above results are all Float64 values. Literal Float32 values can be entered by writing an f in place of e: julia> 0.5f0 0.5f0 julia> typeof(ans) Float32 julia> 2.5f-4 0 2 + 0im julia> (-3 + 2im) - (5 - 1im) -8 + 3im julia> (-1 + 2im)^2 -3 - 4im julia> (-1 + 2im)^2.5 2.729624464784009 - 6.9606644595719im julia> (-1 + 2im)^(1 + 1im) -0.27910381075826657 + 0.08708053414102428im julia> (2 + 3im) - 1 1 + 3im julia> (1 + 2im) + 0.5 1.5 + 2.0im julia> (2 + 3im) - 0.5im 2.0 + 2.5im julia> 0.75(1 + 2im) 0.75 + 1.5im julia> (2 + 3im) / 2 1.0 + 1.5im julia> (1 - 3im) / (2 + 2im)

show_error_hints from their showerror method. (#35094) • Support for Unicode 13.0.0 (via utf8proc 2.5) (#35282). • The compiler optimization level can now be set per-module using the experimental macro julia> 2.5e-4 0.00025 The above results are all Float64 values. Literal Float32 values can be entered by writing an f in place of e: julia> 0.5f0 0.5f0 julia> typeof(ans) Float32 julia> 2.5f-4 0 2 + 0im julia> (-3 + 2im) - (5 - 1im) -8 + 3im julia> (-1 + 2im)^2 -3 - 4im julia> (-1 + 2im)^2.5 2.729624464784009 - 6.9606644595719im julia> (-1 + 2im)^(1 + 1im) -0.27910381075826657 + 0.08708053414102428im

julia> 2.5e-4 0.00025 The above results are all Float64 values. Literal Float32 values can be entered by writing an f in place of e: julia> 0.5f0 0.5f0 julia> typeof(ans) Float32 julia> 2.5f-4 0 2 + 0im julia> (-3 + 2im) - (5 - 1im) -8 + 3im julia> (-1 + 2im)^2 -3 - 4im julia> (-1 + 2im)^2.5 2.729624464784009 - 6.9606644595719im julia> (-1 + 2im)^(1 + 1im) -0.27910381075826657 + 0.08708053414102428im julia> (2 + 3im) - 1 1 + 3im julia> (1 + 2im) + 0.5 1.5 + 2.0im julia> (2 + 3im) - 0.5im 2.0 + 2.5im julia> 0.75(1 + 2im) 0.75 + 1.5im julia> (2 + 3im) / 2 1.0 + 1.5im julia> (1 - 3im) / (2 + 2im)

julia> 2.5e-4 0.00025 The above results are all Float64 values. Literal Float32 values can be entered by writing an f in place of e: julia> 0.5f0 0.5f0 julia> typeof(ans) Float32 julia> 2.5f-4 0 2 + 0im julia> (-3 + 2im) - (5 - 1im) -8 + 3im julia> (-1 + 2im)^2 -3 - 4im julia> (-1 + 2im)^2.5 2.729624464784009 - 6.9606644595719im julia> (-1 + 2im)^(1 + 1im) -0.27910381075826657 + 0.08708053414102428im julia> (2 + 3im) - 1 1 + 3im julia> (1 + 2im) + 0.5 1.5 + 2.0im julia> (2 + 3im) - 0.5im 2.0 + 2.5im julia> 0.75(1 + 2im) 0.75 + 1.5im julia> (2 + 3im) / 2 1.0 + 1.5im julia> (1 - 3im) / (2 + 2im)