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build: move e2e dependencies into e2e/go.mod

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Several packages are only used while running the e2e suite. These
packages are less important to update, as the they can not influence the
final executable that is part of the Ceph-CSI container-image.

By moving these dependencies out of the main Ceph-CSI go.mod, it is
easier to identify if a reported CVE affects Ceph-CSI, or only the
testing (like most of the Kubernetes CVEs).

Signed-off-by: Niels de Vos <ndevos@ibm.com>
This commit is contained in:
Niels de Vos
2025-03-04 08:57:28 +01:00
committed by mergify[bot]
parent 15da101b1b
commit bec6090996
8047 changed files with 1407827 additions and 3453 deletions
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language: go
go:
- 1.11.x
env:
- GO111MODULE=on
script:
- go test -short -coverprofile=coverage.txt -covermode=count ./...
after_success:
- bash <(curl -s https://codecov.io/bash)

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MIT License
Copyright (c) 2019 Montgomery Edwards⁴⁴⁸ and Faye Amacker
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.

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# Float16 (Binary16) in Go/Golang
[![Build Status](https://travis-ci.org/x448/float16.svg?branch=master)](https://travis-ci.org/x448/float16)
[![codecov](https://codecov.io/gh/x448/float16/branch/master/graph/badge.svg?v=4)](https://codecov.io/gh/x448/float16)
[![Go Report Card](https://goreportcard.com/badge/github.com/x448/float16)](https://goreportcard.com/report/github.com/x448/float16)
[![Release](https://img.shields.io/github/release/x448/float16.svg?style=flat-square)](https://github.com/x448/float16/releases)
[![License](http://img.shields.io/badge/license-mit-blue.svg?style=flat-square)](https://raw.githubusercontent.com/x448/float16/master/LICENSE)
`float16` package provides [IEEE 754 half-precision floating-point format (binary16)](https://en.wikipedia.org/wiki/Half-precision_floating-point_format) with IEEE 754 default rounding for conversions. IEEE 754-2008 refers to this 16-bit floating-point format as binary16.
IEEE 754 default rounding ("Round-to-Nearest RoundTiesToEven") is considered the most accurate and statistically unbiased estimate of the true result.
All possible 4+ billion floating-point conversions with this library are verified to be correct.
Lowercase "float16" refers to IEEE 754 binary16. And capitalized "Float16" refers to exported Go data type provided by this library.
## Features
Current features include:
* float16 to float32 conversions use lossless conversion.
* float32 to float16 conversions use IEEE 754-2008 "Round-to-Nearest RoundTiesToEven".
* conversions using pure Go take about 2.65 ns/op on a desktop amd64.
* unit tests provide 100% code coverage and check all possible 4+ billion conversions.
* other functions include: IsInf(), IsNaN(), IsNormal(), PrecisionFromfloat32(), String(), etc.
* all functions in this library use zero allocs except String().
## Status
This library is used by [fxamacker/cbor](https://github.com/fxamacker/cbor) and is ready for production use on supported platforms. The version number < 1.0 indicates more functions and options are planned but not yet published.
Current status:
* core API is done and breaking API changes are unlikely.
* 100% of unit tests pass:
* short mode (`go test -short`) tests around 65765 conversions in 0.005s.
* normal mode (`go test`) tests all possible 4+ billion conversions in about 95s.
* 100% code coverage with both short mode and normal mode.
* tested on amd64 but it should work on all little-endian platforms supported by Go.
Roadmap:
* add functions for fast batch conversions leveraging SIMD when supported by hardware.
* speed up unit test when verifying all possible 4+ billion conversions.
* test on additional platforms.
## Float16 to Float32 Conversion
Conversions from float16 to float32 are lossless conversions. All 65536 possible float16 to float32 conversions (in pure Go) are confirmed to be correct.
Unit tests take a fraction of a second to check all 65536 expected values for float16 to float32 conversions.
## Float32 to Float16 Conversion
Conversions from float32 to float16 use IEEE 754 default rounding ("Round-to-Nearest RoundTiesToEven"). All 4294967296 possible float32 to float16 conversions (in pure Go) are confirmed to be correct.
Unit tests in normal mode take about 1-2 minutes to check all 4+ billion float32 input values and results for Fromfloat32(), FromNaN32ps(), and PrecisionFromfloat32().
Unit tests in short mode use a small subset (around 229 float32 inputs) and finish in under 0.01 second while still reaching 100% code coverage.
## Usage
Install with `go get github.com/x448/float16`.
```
// Convert float32 to float16
pi := float32(math.Pi)
pi16 := float16.Fromfloat32(pi)
// Convert float16 to float32
pi32 := pi16.Float32()
// PrecisionFromfloat32() is faster than the overhead of calling a function.
// This example only converts if there's no data loss and input is not a subnormal.
if float16.PrecisionFromfloat32(pi) == float16.PrecisionExact {
pi16 := float16.Fromfloat32(pi)
}
```
## Float16 Type and API
Float16 (capitalized) is a Go type with uint16 as the underlying state. There are 6 exported functions and 9 exported methods.
```
package float16 // import "github.com/x448/float16"
// Exported types and consts
type Float16 uint16
const ErrInvalidNaNValue = float16Error("float16: invalid NaN value, expected IEEE 754 NaN")
// Exported functions
Fromfloat32(f32 float32) Float16 // Float16 number converted from f32 using IEEE 754 default rounding
with identical results to AMD and Intel F16C hardware. NaN inputs
are converted with quiet bit always set on, to be like F16C.
FromNaN32ps(nan float32) (Float16, error) // Float16 NaN without modifying quiet bit.
// The "ps" suffix means "preserve signaling".
// Returns sNaN and ErrInvalidNaNValue if nan isn't a NaN.
Frombits(b16 uint16) Float16 // Float16 number corresponding to b16 (IEEE 754 binary16 rep.)
NaN() Float16 // Float16 of IEEE 754 binary16 not-a-number
Inf(sign int) Float16 // Float16 of IEEE 754 binary16 infinity according to sign
PrecisionFromfloat32(f32 float32) Precision // quickly indicates exact, ..., overflow, underflow
// (inline and < 1 ns/op)
// Exported methods
(f Float16) Float32() float32 // float32 number converted from f16 using lossless conversion
(f Float16) Bits() uint16 // the IEEE 754 binary16 representation of f
(f Float16) IsNaN() bool // true if f is not-a-number (NaN)
(f Float16) IsQuietNaN() bool // true if f is a quiet not-a-number (NaN)
(f Float16) IsInf(sign int) bool // true if f is infinite based on sign (-1=NegInf, 0=any, 1=PosInf)
(f Float16) IsFinite() bool // true if f is not infinite or NaN
(f Float16) IsNormal() bool // true if f is not zero, infinite, subnormal, or NaN.
(f Float16) Signbit() bool // true if f is negative or negative zero
(f Float16) String() string // string representation of f to satisfy fmt.Stringer interface
```
See [API](https://godoc.org/github.com/x448/float16) at godoc.org for more info.
## Benchmarks
Conversions (in pure Go) are around 2.65 ns/op for float16 -> float32 and float32 -> float16 on amd64. Speeds can vary depending on input value.
```
All functions have zero allocations except float16.String().
FromFloat32pi-2 2.59ns ± 0% // speed using Fromfloat32() to convert a float32 of math.Pi to Float16
ToFloat32pi-2 2.69ns ± 0% // speed using Float32() to convert a float16 of math.Pi to float32
Frombits-2 0.29ns ± 5% // speed using Frombits() to cast a uint16 to Float16
PrecisionFromFloat32-2 0.29ns ± 1% // speed using PrecisionFromfloat32() to check for overflows, etc.
```
## System Requirements
* Tested on Go 1.11, 1.12, and 1.13 but it should also work with older versions.
* Tested on amd64 but it should also work on all little-endian platforms supported by Go.
## Special Thanks
Special thanks to Kathryn Long (starkat99) for creating [half-rs](https://github.com/starkat99/half-rs), a very nice rust implementation of float16.
## License
Copyright (c) 2019 Montgomery Edwards⁴⁴⁸ and Faye Amacker
Licensed under [MIT License](LICENSE)

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// Copyright 2019 Montgomery Edwards⁴⁴⁸ and Faye Amacker
//
// Special thanks to Kathryn Long for her Rust implementation
// of float16 at github.com/starkat99/half-rs (MIT license)
package float16
import (
"math"
"strconv"
)
// Float16 represents IEEE 754 half-precision floating-point numbers (binary16).
type Float16 uint16
// Precision indicates whether the conversion to Float16 is
// exact, subnormal without dropped bits, inexact, underflow, or overflow.
type Precision int
const (
// PrecisionExact is for non-subnormals that don't drop bits during conversion.
// All of these can round-trip. Should always convert to float16.
PrecisionExact Precision = iota
// PrecisionUnknown is for subnormals that don't drop bits during conversion but
// not all of these can round-trip so precision is unknown without more effort.
// Only 2046 of these can round-trip and the rest cannot round-trip.
PrecisionUnknown
// PrecisionInexact is for dropped significand bits and cannot round-trip.
// Some of these are subnormals. Cannot round-trip float32->float16->float32.
PrecisionInexact
// PrecisionUnderflow is for Underflows. Cannot round-trip float32->float16->float32.
PrecisionUnderflow
// PrecisionOverflow is for Overflows. Cannot round-trip float32->float16->float32.
PrecisionOverflow
)
// PrecisionFromfloat32 returns Precision without performing
// the conversion. Conversions from both Infinity and NaN
// values will always report PrecisionExact even if NaN payload
// or NaN-Quiet-Bit is lost. This function is kept simple to
// allow inlining and run < 0.5 ns/op, to serve as a fast filter.
func PrecisionFromfloat32(f32 float32) Precision {
u32 := math.Float32bits(f32)
if u32 == 0 || u32 == 0x80000000 {
// +- zero will always be exact conversion
return PrecisionExact
}
const COEFMASK uint32 = 0x7fffff // 23 least significant bits
const EXPSHIFT uint32 = 23
const EXPBIAS uint32 = 127
const EXPMASK uint32 = uint32(0xff) << EXPSHIFT
const DROPMASK uint32 = COEFMASK >> 10
exp := int32(((u32 & EXPMASK) >> EXPSHIFT) - EXPBIAS)
coef := u32 & COEFMASK
if exp == 128 {
// +- infinity or NaN
// apps may want to do extra checks for NaN separately
return PrecisionExact
}
// https://en.wikipedia.org/wiki/Half-precision_floating-point_format says,
// "Decimals between 2^−24 (minimum positive subnormal) and 2^−14 (maximum subnormal): fixed interval 2^−24"
if exp < -24 {
return PrecisionUnderflow
}
if exp > 15 {
return PrecisionOverflow
}
if (coef & DROPMASK) != uint32(0) {
// these include subnormals and non-subnormals that dropped bits
return PrecisionInexact
}
if exp < -14 {
// Subnormals. Caller may want to test these further.
// There are 2046 subnormals that can successfully round-trip f32->f16->f32
// and 20 of those 2046 have 32-bit input coef == 0.
// RFC 7049 and 7049bis Draft 12 don't precisely define "preserves value"
// so some protocols and libraries will choose to handle subnormals differently
// when deciding to encode them to CBOR float32 vs float16.
return PrecisionUnknown
}
return PrecisionExact
}
// Frombits returns the float16 number corresponding to the IEEE 754 binary16
// representation u16, with the sign bit of u16 and the result in the same bit
// position. Frombits(Bits(x)) == x.
func Frombits(u16 uint16) Float16 {
return Float16(u16)
}
// Fromfloat32 returns a Float16 value converted from f32. Conversion uses
// IEEE default rounding (nearest int, with ties to even).
func Fromfloat32(f32 float32) Float16 {
return Float16(f32bitsToF16bits(math.Float32bits(f32)))
}
// ErrInvalidNaNValue indicates a NaN was not received.
const ErrInvalidNaNValue = float16Error("float16: invalid NaN value, expected IEEE 754 NaN")
type float16Error string
func (e float16Error) Error() string { return string(e) }
// FromNaN32ps converts nan to IEEE binary16 NaN while preserving both
// signaling and payload. Unlike Fromfloat32(), which can only return
// qNaN because it sets quiet bit = 1, this can return both sNaN and qNaN.
// If the result is infinity (sNaN with empty payload), then the
// lowest bit of payload is set to make the result a NaN.
// Returns ErrInvalidNaNValue and 0x7c01 (sNaN) if nan isn't IEEE 754 NaN.
// This function was kept simple to be able to inline.
func FromNaN32ps(nan float32) (Float16, error) {
const SNAN = Float16(uint16(0x7c01)) // signalling NaN
u32 := math.Float32bits(nan)
sign := u32 & 0x80000000
exp := u32 & 0x7f800000
coef := u32 & 0x007fffff
if (exp != 0x7f800000) || (coef == 0) {
return SNAN, ErrInvalidNaNValue
}
u16 := uint16((sign >> 16) | uint32(0x7c00) | (coef >> 13))
if (u16 & 0x03ff) == 0 {
// result became infinity, make it NaN by setting lowest bit in payload
u16 = u16 | 0x0001
}
return Float16(u16), nil
}
// NaN returns a Float16 of IEEE 754 binary16 not-a-number (NaN).
// Returned NaN value 0x7e01 has all exponent bits = 1 with the
// first and last bits = 1 in the significand. This is consistent
// with Go's 64-bit math.NaN(). Canonical CBOR in RFC 7049 uses 0x7e00.
func NaN() Float16 {
return Float16(0x7e01)
}
// Inf returns a Float16 with an infinity value with the specified sign.
// A sign >= returns positive infinity.
// A sign < 0 returns negative infinity.
func Inf(sign int) Float16 {
if sign >= 0 {
return Float16(0x7c00)
}
return Float16(0x8000 | 0x7c00)
}
// Float32 returns a float32 converted from f (Float16).
// This is a lossless conversion.
func (f Float16) Float32() float32 {
u32 := f16bitsToF32bits(uint16(f))
return math.Float32frombits(u32)
}
// Bits returns the IEEE 754 binary16 representation of f, with the sign bit
// of f and the result in the same bit position. Bits(Frombits(x)) == x.
func (f Float16) Bits() uint16 {
return uint16(f)
}
// IsNaN reports whether f is an IEEE 754 binary16 “not-a-number” value.
func (f Float16) IsNaN() bool {
return (f&0x7c00 == 0x7c00) && (f&0x03ff != 0)
}
// IsQuietNaN reports whether f is a quiet (non-signaling) IEEE 754 binary16
// “not-a-number” value.
func (f Float16) IsQuietNaN() bool {
return (f&0x7c00 == 0x7c00) && (f&0x03ff != 0) && (f&0x0200 != 0)
}
// IsInf reports whether f is an infinity (inf).
// A sign > 0 reports whether f is positive inf.
// A sign < 0 reports whether f is negative inf.
// A sign == 0 reports whether f is either inf.
func (f Float16) IsInf(sign int) bool {
return ((f == 0x7c00) && sign >= 0) ||
(f == 0xfc00 && sign <= 0)
}
// IsFinite returns true if f is neither infinite nor NaN.
func (f Float16) IsFinite() bool {
return (uint16(f) & uint16(0x7c00)) != uint16(0x7c00)
}
// IsNormal returns true if f is neither zero, infinite, subnormal, or NaN.
func (f Float16) IsNormal() bool {
exp := uint16(f) & uint16(0x7c00)
return (exp != uint16(0x7c00)) && (exp != 0)
}
// Signbit reports whether f is negative or negative zero.
func (f Float16) Signbit() bool {
return (uint16(f) & uint16(0x8000)) != 0
}
// String satisfies the fmt.Stringer interface.
func (f Float16) String() string {
return strconv.FormatFloat(float64(f.Float32()), 'f', -1, 32)
}
// f16bitsToF32bits returns uint32 (float32 bits) converted from specified uint16.
func f16bitsToF32bits(in uint16) uint32 {
// All 65536 conversions with this were confirmed to be correct
// by Montgomery Edwards⁴⁴⁸ (github.com/x448).
sign := uint32(in&0x8000) << 16 // sign for 32-bit
exp := uint32(in&0x7c00) >> 10 // exponenent for 16-bit
coef := uint32(in&0x03ff) << 13 // significand for 32-bit
if exp == 0x1f {
if coef == 0 {
// infinity
return sign | 0x7f800000 | coef
}
// NaN
return sign | 0x7fc00000 | coef
}
if exp == 0 {
if coef == 0 {
// zero
return sign
}
// normalize subnormal numbers
exp++
for coef&0x7f800000 == 0 {
coef <<= 1
exp--
}
coef &= 0x007fffff
}
return sign | ((exp + (0x7f - 0xf)) << 23) | coef
}
// f32bitsToF16bits returns uint16 (Float16 bits) converted from the specified float32.
// Conversion rounds to nearest integer with ties to even.
func f32bitsToF16bits(u32 uint32) uint16 {
// Translated from Rust to Go by Montgomery Edwards⁴⁴⁸ (github.com/x448).
// All 4294967296 conversions with this were confirmed to be correct by x448.
// Original Rust implementation is by Kathryn Long (github.com/starkat99) with MIT license.
sign := u32 & 0x80000000
exp := u32 & 0x7f800000
coef := u32 & 0x007fffff
if exp == 0x7f800000 {
// NaN or Infinity
nanBit := uint32(0)
if coef != 0 {
nanBit = uint32(0x0200)
}
return uint16((sign >> 16) | uint32(0x7c00) | nanBit | (coef >> 13))
}
halfSign := sign >> 16
unbiasedExp := int32(exp>>23) - 127
halfExp := unbiasedExp + 15
if halfExp >= 0x1f {
return uint16(halfSign | uint32(0x7c00))
}
if halfExp <= 0 {
if 14-halfExp > 24 {
return uint16(halfSign)
}
coef := coef | uint32(0x00800000)
halfCoef := coef >> uint32(14-halfExp)
roundBit := uint32(1) << uint32(13-halfExp)
if (coef&roundBit) != 0 && (coef&(3*roundBit-1)) != 0 {
halfCoef++
}
return uint16(halfSign | halfCoef)
}
uHalfExp := uint32(halfExp) << 10
halfCoef := coef >> 13
roundBit := uint32(0x00001000)
if (coef&roundBit) != 0 && (coef&(3*roundBit-1)) != 0 {
return uint16((halfSign | uHalfExp | halfCoef) + 1)
}
return uint16(halfSign | uHalfExp | halfCoef)
}