github.com/m10x/go/src@v0.0.0-20220112094212-ba61592315da/crypto/elliptic/internal/fiat/generate.go

// Copyright 2021 The Go Authors. All rights reserved.
// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file.

//go:build ignore

package main

import (
	"bytes"
	"go/format"
	"io"
	"log"
	"os"
	"os/exec"
	"text/template"
)

var curves = []struct {
	Element  string
	Prime    string
	Prefix   string
	FiatType string
	BytesLen int
}{
	{
		Element:  "P224Element",
		Prime:    "2^224 - 2^96 + 1",
		Prefix:   "p224",
		FiatType: "[4]uint64",
		BytesLen: 28,
	},
	// The 32-bit pure Go P-256 in crypto/elliptic is still faster than the
	// autogenerated code here, regrettably.
	// {
	//  Element:  "P256Element",
	//  Prime:    "2^256 - 2^224 + 2^192 + 2^96 - 1",
	//  Prefix:   "p256",
	//  FiatType: "[4]uint64",
	//  BytesLen: 32,
	// },
	{
		Element:  "P384Element",
		Prime:    "2^384 - 2^128 - 2^96 + 2^32 - 1",
		Prefix:   "p384",
		FiatType: "[6]uint64",
		BytesLen: 48,
	},
	// Note that unsaturated_solinas would be about 2x faster than
	// word_by_word_montgomery for P-521, but this curve is used rarely enough
	// that it's not worth carrying unsaturated_solinas support for it.
	{
		Element:  "P521Element",
		Prime:    "2^521 - 1",
		Prefix:   "p521",
		FiatType: "[9]uint64",
		BytesLen: 66,
	},
}

func main() {
	t := template.Must(template.New("montgomery").Parse(tmplWrapper))

	tmplAddchainFile, err := os.CreateTemp("", "addchain-template")
	if err != nil {
		log.Fatal(err)
	}
	defer os.Remove(tmplAddchainFile.Name())
	if _, err := io.WriteString(tmplAddchainFile, tmplAddchain); err != nil {
		log.Fatal(err)
	}
	if err := tmplAddchainFile.Close(); err != nil {
		log.Fatal(err)
	}

	for _, c := range curves {
		log.Printf("Generating %s.go...", c.Prefix)
		f, err := os.Create(c.Prefix + ".go")
		if err != nil {
			log.Fatal(err)
		}
		if err := t.Execute(f, c); err != nil {
			log.Fatal(err)
		}
		if err := f.Close(); err != nil {
			log.Fatal(err)
		}

		log.Printf("Generating %s_fiat64.go...", c.Prefix)
		cmd := exec.Command("docker", "run", "--rm", "--entrypoint", "word_by_word_montgomery",
			"fiat-crypto:v0.0.9", "--lang", "Go", "--no-wide-int", "--cmovznz-by-mul",
			"--relax-primitive-carry-to-bitwidth", "32,64", "--internal-static",
			"--public-function-case", "camelCase", "--public-type-case", "camelCase",
			"--private-function-case", "camelCase", "--private-type-case", "camelCase",
			"--doc-text-before-function-name", "", "--doc-newline-before-package-declaration",
			"--doc-prepend-header", "Code generated by Fiat Cryptography. DO NOT EDIT.",
			"--package-name", "fiat", "--no-prefix-fiat", c.Prefix, "64", c.Prime,
			"mul", "square", "add", "sub", "one", "from_montgomery", "to_montgomery",
			"selectznz", "to_bytes", "from_bytes")
		cmd.Stderr = os.Stderr
		out, err := cmd.Output()
		if err != nil {
			log.Fatal(err)
		}
		out, err = format.Source(out)
		if err != nil {
			log.Fatal(err)
		}
		if err := os.WriteFile(c.Prefix+"_fiat64.go", out, 0644); err != nil {
			log.Fatal(err)
		}

		log.Printf("Generating %s_invert.go...", c.Prefix)
		f, err = os.CreateTemp("", "addchain-"+c.Prefix)
		if err != nil {
			log.Fatal(err)
		}
		defer os.Remove(f.Name())
		cmd = exec.Command("addchain", "search", c.Prime+" - 2")
		cmd.Stderr = os.Stderr
		cmd.Stdout = f
		if err := cmd.Run(); err != nil {
			log.Fatal(err)
		}
		if err := f.Close(); err != nil {
			log.Fatal(err)
		}
		cmd = exec.Command("addchain", "gen", "-tmpl", tmplAddchainFile.Name(), f.Name())
		cmd.Stderr = os.Stderr
		out, err = cmd.Output()
		if err != nil {
			log.Fatal(err)
		}
		out = bytes.Replace(out, []byte("Element"), []byte(c.Element), -1)
		out, err = format.Source(out)
		if err != nil {
			log.Fatal(err)
		}
		if err := os.WriteFile(c.Prefix+"_invert.go", out, 0644); err != nil {
			log.Fatal(err)
		}
	}
}

const tmplWrapper = `// Copyright 2021 The Go Authors. All rights reserved.
// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file.

// Code generated by generate.go. DO NOT EDIT.

package fiat

import (
	"crypto/subtle"
	"errors"
)

// {{ .Element }} is an integer modulo {{ .Prime }}.
//
// The zero value is a valid zero element.
type {{ .Element }} struct {
	// Values are represented internally always in the Montgomery domain, and
	// converted in Bytes and SetBytes.
	x {{ .Prefix }}MontgomeryDomainFieldElement
}

const {{ .Prefix }}ElementLen = {{ .BytesLen }}

type {{ .Prefix }}UntypedFieldElement = {{ .FiatType }}

// One sets e = 1, and returns e.
func (e *{{ .Element }}) One() *{{ .Element }} {
	{{ .Prefix }}SetOne(&e.x)
	return e
}

// Equal returns 1 if e == t, and zero otherwise.
func (e *{{ .Element }}) Equal(t *{{ .Element }}) int {
	eBytes := e.Bytes()
	tBytes := t.Bytes()
	return subtle.ConstantTimeCompare(eBytes, tBytes)
}

var {{ .Prefix }}ZeroEncoding = new({{ .Element }}).Bytes()

// IsZero returns 1 if e == 0, and zero otherwise.
func (e *{{ .Element }}) IsZero() int {
	eBytes := e.Bytes()
	return subtle.ConstantTimeCompare(eBytes, {{ .Prefix }}ZeroEncoding)
}

// Set sets e = t, and returns e.
func (e *{{ .Element }}) Set(t *{{ .Element }}) *{{ .Element }} {
	e.x = t.x
	return e
}

// Bytes returns the {{ .BytesLen }}-byte big-endian encoding of e.
func (e *{{ .Element }}) Bytes() []byte {
	// This function is outlined to make the allocations inline in the caller
	// rather than happen on the heap.
	var out [{{ .Prefix }}ElementLen]byte
	return e.bytes(&out)
}

func (e *{{ .Element }}) bytes(out *[{{ .Prefix }}ElementLen]byte) []byte {
	var tmp {{ .Prefix }}NonMontgomeryDomainFieldElement
	{{ .Prefix }}FromMontgomery(&tmp, &e.x)
	{{ .Prefix }}ToBytes(out, (*{{ .Prefix }}UntypedFieldElement)(&tmp))
	{{ .Prefix }}InvertEndianness(out[:])
	return out[:]
}

// {{ .Prefix }}MinusOneEncoding is the encoding of -1 mod p, so p - 1, the
// highest canonical encoding. It is used by SetBytes to check for non-canonical
// encodings such as p + k, 2p + k, etc.
var {{ .Prefix }}MinusOneEncoding = new({{ .Element }}).Sub(
	new({{ .Element }}), new({{ .Element }}).One()).Bytes()

// SetBytes sets e = v, where v is a big-endian {{ .BytesLen }}-byte encoding, and returns e.
// If v is not {{ .BytesLen }} bytes or it encodes a value higher than {{ .Prime }},
// SetBytes returns nil and an error, and e is unchanged.
func (e *{{ .Element }}) SetBytes(v []byte) (*{{ .Element }}, error) {
	if len(v) != {{ .Prefix }}ElementLen {
		return nil, errors.New("invalid {{ .Element }} encoding")
	}
	for i := range v {
		if v[i] < {{ .Prefix }}MinusOneEncoding[i] {
			break
		}
		if v[i] > {{ .Prefix }}MinusOneEncoding[i] {
			return nil, errors.New("invalid {{ .Element }} encoding")
		}
	}
	var in [{{ .Prefix }}ElementLen]byte
	copy(in[:], v)
	{{ .Prefix }}InvertEndianness(in[:])
	var tmp {{ .Prefix }}NonMontgomeryDomainFieldElement
	{{ .Prefix }}FromBytes((*{{ .Prefix }}UntypedFieldElement)(&tmp), &in)
	{{ .Prefix }}ToMontgomery(&e.x, &tmp)
	return e, nil
}

// Add sets e = t1 + t2, and returns e.
func (e *{{ .Element }}) Add(t1, t2 *{{ .Element }}) *{{ .Element }} {
	{{ .Prefix }}Add(&e.x, &t1.x, &t2.x)
	return e
}

// Sub sets e = t1 - t2, and returns e.
func (e *{{ .Element }}) Sub(t1, t2 *{{ .Element }}) *{{ .Element }} {
	{{ .Prefix }}Sub(&e.x, &t1.x, &t2.x)
	return e
}

// Mul sets e = t1 * t2, and returns e.
func (e *{{ .Element }}) Mul(t1, t2 *{{ .Element }}) *{{ .Element }} {
	{{ .Prefix }}Mul(&e.x, &t1.x, &t2.x)
	return e
}

// Square sets e = t * t, and returns e.
func (e *{{ .Element }}) Square(t *{{ .Element }}) *{{ .Element }} {
	{{ .Prefix }}Square(&e.x, &t.x)
	return e
}

// Select sets v to a if cond == 1, and to b if cond == 0.
func (v *{{ .Element }}) Select(a, b *{{ .Element }}, cond int) *{{ .Element }} {
	{{ .Prefix }}Selectznz((*{{ .Prefix }}UntypedFieldElement)(&v.x), {{ .Prefix }}Uint1(cond),
		(*{{ .Prefix }}UntypedFieldElement)(&b.x), (*{{ .Prefix }}UntypedFieldElement)(&a.x))
	return v
}

func {{ .Prefix }}InvertEndianness(v []byte) {
	for i := 0; i < len(v)/2; i++ {
		v[i], v[len(v)-1-i] = v[len(v)-1-i], v[i]
	}
}
`

const tmplAddchain = `// Copyright 2021 The Go Authors. All rights reserved.
// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file.

// Code generated by {{ .Meta.Name }}. DO NOT EDIT.

package fiat

// Invert sets e = 1/x, and returns e.
//
// If x == 0, Invert returns e = 0.
func (e *Element) Invert(x *Element) *Element {
	// Inversion is implemented as exponentiation with exponent p − 2.
	// The sequence of {{ .Ops.Adds }} multiplications and {{ .Ops.Doubles }} squarings is derived from the
	// following addition chain generated with {{ .Meta.Module }} {{ .Meta.ReleaseTag }}.
	//
	{{- range lines (format .Script) }}
	//	{{ . }}
	{{- end }}
	//

	var z = new(Element).Set(e)
	{{- range .Program.Temporaries }}
	var {{ . }} = new(Element)
	{{- end }}
	{{ range $i := .Program.Instructions -}}
	{{- with add $i.Op }}
	{{ $i.Output }}.Mul({{ .X }}, {{ .Y }})
	{{- end -}}

	{{- with double $i.Op }}
	{{ $i.Output }}.Square({{ .X }})
	{{- end -}}

	{{- with shift $i.Op -}}
	{{- $first := 0 -}}
	{{- if ne $i.Output.Identifier .X.Identifier }}
	{{ $i.Output }}.Square({{ .X }})
	{{- $first = 1 -}}
	{{- end }}
	for s := {{ $first }}; s < {{ .S }}; s++ {
		{{ $i.Output }}.Square({{ $i.Output }})
	}
	{{- end -}}
	{{- end }}

	return e.Set(z)
}
`