docs for float

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Ondřej Hruška 4 years ago
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      README.md

@ -169,7 +169,8 @@ This document uses the following notation for arguments:
- `NUM` - literal values
- unsigned `123`
- signed `-123`
- float `-45.6789`
- float `-45.6789`. For now, you must use literals with a period to enter float literals, integers will not be converted to
float when used in floating point instructions!
- hex `0xabcd`, `#abcd`
- binary `0b0101`
- character `'a'`, `'🐁'`. Supports unicode and C-style escapes. Use `\\` for a literal backslash.
@ -428,6 +429,17 @@ Many instructions have two forms:
(mod Wr Rd Rd'divider)
(mod RW Rd'divider)
; Get abs value
(abs Wr Rd)
(abs RW)
; Get signum
(sgn Wr Rd)
(sgn RW)
; Power - e.g. (pow r0 2 8) is 256
(pow Wr Rd Rd'pow)
; Swap the 32-bit halves of a value
; 0x01234567_89abcdef -> 0x89abcdef_01234567
(sw32 Wr Rd)
@ -515,6 +527,119 @@ Many instructions have two forms:
(del @Rd)
```
### Floating Point Arithmetics
The arithmetics module has support for floating point values. There are some gotchas though:
- Floating point is simply the binary representation of it in an unsigned integer register.
I thought of adding special float registers for this, but then you can't easily pass floats
to subroutines, push them on a stack etc. Not worth it.
- To enter a float literal, always use the notation with a decimal point. It should support minus and scientific notation too.
- There are special instructions dedicated to working with floats. The regular integer instructions
will happily work with their binary forms, but that's absolutely not what you want.
```
(itf r0 1.0) ; NO!!! it is already float, what are you doing
(ld r0 1.0) ; okay
(itf r0 1) ; also okay
(fmul r0 2) ; NO!!!!!!!!!!!!! 2 is not float
(mul r0 2.0) ; ALSO NO!!!!!!!!!!!!! mul is not a float instruction!
(fmul r0 2.0) ; good
```
You have to be a bit careful, that's all.
Here's an abridged summary of the floating point submodule:
(most of these support the shorthand version too - `RW` in place of `Wr Rd`)
```
; IntToFloat
(itf Wr Rd)
; FloatToInt (round)
(fti Wr Rd)
; FloatToInt (ceil)
(ftic Wr Rd)
; FloatToInt (floor)
(ftif Wr Rd)
; FloatTest - nan->invalid, infinities->overflow, positive, negative, zero
(ftst Rd)
; FloatCompare
(fcmp Rd Rd)
; FloatRangeTest
(fcmpr Rd Rd'min Rd'max)
; FloatRng
(frng Wr Rd'min Rd'max)
; --- Basic float arith ---
; FloatAdd
(fadd Wr Rd Rd)
; FloatSub
(fsub Wr Rd Rd)
; FloatMul
(fmul Wr Rd Rd)
; FloatPow
(fpow Wr Rd Rd'pow)
; FloatRoot
(froot Wr Rd Rd'root)
; FloatHyp
(fhyp Wr Rd Rd)
; FloatDiv
(fdiv Wr Wr'rem Rd'a Rd'div)
; FloatMod
(fmod Wr Rd'a Rd'div)
; FloatAbs
(fabs Wr Rd)
; FloatSgn
(fsgn Wr Rd)
; --- Basic trig ---
; FloatSin
(fsin Wr Rd)
; FloatAsin
(fasin Wr Rd)
; FloatCos
(fcos Wr Rd)
; FloatAcos
(facos Wr Rd)
; FloatTan
(ftan Wr Rd)
; FloatAtan
(fatan Wr Rd)
; FloatAtan2
(fatan2 Wr Rd'y Rd'x)
; FloatCot
(fcot Wr Rd)
; FloatAcot
(facot Wr Rd)
; --- Hyperbolic trig ---
; FloatHypSin
(fsinh Wr Rd)
; FloatHypAsin
(fasinh Wr Rd)
; FloatHypCos
(fcosh Wr Rd)
; FloatHypAcos
(facosh Wr Rd)
; FloatHypTan
(ftanh Wr Rd)
; FloatHypAtan
(fatanh Wr Rd)
; FloatHypCot
(fcoth Wr Rd)
; FloatHypAcot
(facoth Wr Rd)
```
Wow, thats a lot. I didn't test many of these yet. There may be bugs.
## Buffers Module
This module defines dynamic size integer buffers.

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