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Fix and test Float16 Rational comparison

bugfixThis change fixes an existing bugThis change fixes an existing bug

equalityIssues relating to equality relations: ==, ===, isequalIssues relating to equality relations: ==, ===, isequal

float16

rationalsThe Rational type and values thereofThe Rational type and values thereof

Status: Open (in progress).

JuliaLang/julianumber 58217

#58217 In JuliaLang/julia;

· LilithHafner opened on Apr 24, 2025

Slightly inaccurate emulated fma on Float16

float16

Status: Open.

Bug

#57784 In JuliaLang/julia;

· giordano opened on Mar 15, 2025

Wrong <code>Core.Intrinsics.have_fma(Float16)</code> test

float16

Status: Open.

#57783 In JuliaLang/julia;

· giordano opened on Mar 15, 2025

<code>rounding(::Type{Float16})</code>

float16

Status: Open.

#55926 In JuliaLang/julia;

· nsajko opened on Sep 29, 2024

<code>rationalize</code> incorrect for <code>Float16</code> input

bugIndicates an unexpected problem or unintended behaviorIndicates an unexpected problem or unintended behavior

float16

Status: Open.

#49848 In JuliaLang/julia;

· nsajko opened on May 16, 2023

Improve floating-point Euclidean division for Float16 and Float32

bugfixThis change fixes an existing bugThis change fixes an existing bug

float16

mathsMathematical functionsMathematical functions

Status: Open (in progress).

JuliaLang/julianumber 49637

#49637 In JuliaLang/julia;

· simonbyrne opened on May 4, 2023

Incorrect results from floating-point division (<code>fld</code>, <code>cld</code>, <code>div</code>)

bugIndicates an unexpected problem or unintended behaviorIndicates an unexpected problem or unintended behavior

correctness bug ⚠Bugs that are likely to lead to incorrect results in user code without throwingBugs that are likely to lead to incorrect results in user code without throwing

float16

mathsMathematical functionsMathematical functions

Status: Open.

Bug

#49450 In JuliaLang/julia;

· yurivish opened on Apr 21, 2023

Float64 to Float16 conversion is slow

float16

performanceMust go fasterMust go faster

Status: Open.

#41161 In JuliaLang/julia;

· JeffBezanson opened on Jun 9, 2021

Addition of <code>Float16</code> is wrong on armv7l

bugIndicates an unexpected problem or unintended behaviorIndicates an unexpected problem or unintended behavior

correctness bug ⚠Bugs that are likely to lead to incorrect results in user code without throwingBugs that are likely to lead to incorrect results in user code without throwing

float16

system:32-bitAffects only 32-bit systemsAffects only 32-bit systems

system:armARMv7 and AArch64ARMv7 and AArch64

Status: Open.

Bug

#41064 In JuliaLang/julia;

· giordano opened on Jun 2, 2021

Conversion from Float64 to Float16 not always rounded to nearest

float16

Status: Open.

#40315 In JuliaLang/julia;

· goualard-f opened on Apr 2, 2021