From 499f9ea7f73485c9f152a86a18b920199c9c985b Mon Sep 17 00:00:00 2001 From: Perry Kivolowitz Date: Thu, 14 Jul 2022 10:20:07 -0500 Subject: [PATCH] making room in floats for lots of sub chapters - added some language about using half precision floats --- .gitignore | 1 + README.md | 10 +++++++-- section_1/float/half.md | 43 +++++++++++++++++++++++++++++++++++++ section_1/float/regs.png | Bin 0 -> 200067 bytes section_1/float/working.md | 41 ++++++++++++++++++++--------------- 5 files changed, 76 insertions(+), 19 deletions(-) create mode 100644 section_1/float/half.md create mode 100644 section_1/float/regs.png diff --git a/.gitignore b/.gitignore index c9d52ea..7690da9 100644 --- a/.gitignore +++ b/.gitignore @@ -2,6 +2,7 @@ *.d temp +.DS_* # Compiled Object files *.slo diff --git a/README.md b/README.md index c8611a8..1848e21 100644 --- a/README.md +++ b/README.md @@ -66,8 +66,14 @@ the 64 bit ARM Instruction Set Architecture (ISA). | 9 | [Casting](./section_1/casting/README.md) | | 10 | Floating Point | | .... a | [.... What Are Floating Point Numbers?](./section_1/float/what.md) -| .... b | [.... Working with Floats](./section_1/float/working.md) - +| .... b | [.... Registers (simplified)](./section_1/float/working.md) +| .... c | [.... Literals](./section_1/float/) +| .... d | [.... `fmov`](./section_1/float/) +| .... e | [.... Conversion To / From Integers](./section_1/float/) +| .... f | [.... Rounding](./section_1/float/) +| .... g | [.... Four Basic Operations](./section_1/float/) +| .... h | [.... Selected Additional Operations](./section_1/float/) +| .... z | [.... Half Precision Floats](./section_1/float/half.md) ## Section 2 - Bit Manipulation diff --git a/section_1/float/half.md b/section_1/float/half.md new file mode 100644 index 0000000..cc857b2 --- /dev/null +++ b/section_1/float/half.md @@ -0,0 +1,43 @@ +# Section 1 / Half Precision Floats + +TL;DR - don't use these in C and C++ without being willing to wade +through a great deal of muck. In assembly language, it is more +straight forward. + +## Half Precision Formats in C and C++ + +Support for half precision (16 bit) floating point values does exist but +there is no complete agreement on how different compilers support them. +Indeed, there are not one but two competing half precision formats out +there. These are the IEEE and GOOGLE types. Further still, many open +source developers have created their own implementations with +potentially clashing naming conventions. + +Finally, as of this writing, there is a performance penalty to using +half precision floating point values from C and C++ for ordinary math. +See below: + +```c++ +__fp16 Foo(__fp16 g, __fp16 f) { + return g + f; +} +``` + +compiles to: + +```asm + fcvt s1, h1 + fcvt s0, h0 + fadd s0, s0, s1 + fcvt h0, s0 + ret +``` + +On the other hand, if you are willing to use *intrinsics* and one of +the SIMD instruction sets offered by ARM, then knock yourself out. Be +aware that doing so ties your code to the ARM processor in ways which +you might regret. + +## Half Precision in Assembly Language + +more to come diff --git a/section_1/float/regs.png b/section_1/float/regs.png new file mode 100644 index 0000000000000000000000000000000000000000..8ac725e94a8735c520ab2e80e6e8cc47753720a5 GIT binary patch literal 200067 zcmZs?bx@m6*!PRIcyX6d9Euj#6ff=$O^XyLuEkT_-HQZ@wWU~bO>rx(#oaAvfRMcW zp69&hk25DTJG-;ld-hJ|O7^-w-|roxqoqQKM~jDshDNCRR#6WP4c!F|4T~G+`O}P@ ze#X-T)(Zy(1sz8P6$Mu(R}X!+57xFSwl20F4%T`q@@Qz{2?>Ul_VkA2vbimFuUN;z zX3EM^Um!)&>z(u_!x#6Fwsp?SJZVn#a>+x-EBOxWLR*Lu2QFE1IpVJG>uKvK^Dd5; zpDIq`c)!)_e8URkgiqY76ird#9<>P7wWT#Xc8o0F?dF{Y@2z^CuHq**^O$F@vSIMh zR`KpkZ`KX$_V!A8bp=fj22Jq3O3dKSU`MCh>V__!oH6yU&fhfMqU?^UbX3rzS0WaE zi4QYx+M*#T`hHt}!IFCz#GSW-;^F)mkL+EF z#@=JOF~h?4JYPzb7WrPu#XO=kBwF!Ri)Fea>;c@UwBp#i6sDb2ClExwhS_|R#qE)~ z5k(9!++OyIuI6*7>mx?lwm9IzSkNrn+9N#hV6wf|h5_yL`(8hOicS7`RX&qrN4ys1 z>)jF`}(+a`V>s-?A{)XgY95k0cn|iw;~w!<%<0KVk%( 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