Add erasure coding and decoding using Intel Storage Acceleration library

- move contrib/erasure --> contrib/isal
 - bring in low level 'isal' package for Go for exposing C functions
 - Implement Erasure 'encoding'
   Supports - Reed Solomon Codes, Cauchy Codes
 - Implement Erasure 'decoding'
   Supports - Reed Solomon Codes, Cauchy Codes
 - Renames Minios -> Minio at all the references
This commit is contained in:
Harshavardhana 2014-11-05 03:09:40 -08:00
parent cbce7fd66f
commit 1e7515a7df
85 changed files with 839 additions and 5 deletions

1
.gitignore vendored
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@ -1,2 +1,3 @@
**/*.swp **/*.swp
/cover/ /cover/
*~

9
NOTICE
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@ -4,8 +4,7 @@ Copyright 2014 Minio, Inc.
This product includes software developed at Minio, Inc. This product includes software developed at Minio, Inc.
(http://minio.io/). (http://minio.io/).
The Minio project contains unmodified subcomponents under the contrib The Minio project contains unmodified/modified subcomponents too with
folder with separate copyright notices and license terms. Your use of separate copyright notices and license terms. Your use of the source
the source code for the these subcomponents is subject to the terms code for the these subcomponents is subject to the terms and conditions
and conditions of the following licenses. of the following licenses.

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erasure/Makefile Normal file
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all: build test
.PHONY: all
test: cauchy vandermonde
cauchy:
@go test -test.run="TestCauchy*"
vandermonde:
@go test -test.run="TestVanderMonde*"
isal/isal-l.so:
@$(MAKE) --quiet -C isal
build: isal/isal-l.so
@go build

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erasure/cauchy_test.go Normal file
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/*
* Mini Object Storage, (C) 2014 Minio, Inc.
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
package erasure
import (
"bytes"
"testing"
)
func TestCachyEncode(t *testing.T) {
ep, _ := ValidateParams(10, 5, 8, CAUCHY)
p := NewEncoder(ep)
data := make([]byte, 1000)
chunks, length := p.Encode(data)
t.Logf("chunks length: %d;\nlength: %d\n", len(chunks), length)
if length != len(data) {
t.Fatal()
}
}
func TestCauchyDecode(t *testing.T) {
ep, _ := ValidateParams(10, 5, 8, CAUCHY)
data := []byte("Lorem Ipsum is simply dummy text of the printing and typesetting industry. Lorem Ipsum has been the industry's standard dummy text ever since the 1500s, when an unknown printer took a galley of type and scrambled it to make a type specimen book. It has survived not only five centuries, but also the leap into electronic typesetting, remaining essentially unchanged. It was popularised in the 1960s with the release of Letraset sheets containing Lorem Ipsum passages, and more recently with desktop publishing software like Aldus PageMaker including versions of Lorem Ipsum.")
p := NewEncoder(ep)
chunks, length := p.Encode(data)
t.Logf("chunks length: %d;\nlength: %d\n", len(chunks), length)
if length != len(data) {
t.Fatal()
}
chunks[0] = nil
chunks[3] = nil
chunks[5] = nil
chunks[9] = nil
chunks[13] = nil
recovered_data, err := p.Decode(chunks, length)
if err != nil {
t.Fatalf("Error: %s", err)
}
if i := bytes.Compare(recovered_data, data); i < 0 {
t.Fatalf("Error: recovered data is less than original data")
}
}

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erasure/cpufeatures.c Normal file
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/*
* Mini Object Storage, (C) 2014 Minio, Inc.
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
#include <stdio.h>
#include <stdlib.h>
static void cpuid(int cpuinfo[4] ,int infotype) {
__asm__ __volatile__ (
"cpuid":
"=a" (cpuinfo[0]),
"=b" (cpuinfo[1]),
"=c" (cpuinfo[2]),
"=d" (cpuinfo[3]) :
"a" (infotype), "c" (0)
);
}
/*
SSE41 : return true
no SSE41 : return false
*/
int has_sse41 (void) {
int info[4];
cpuid(info, 0x00000001);
return ((info[2] & ((int)1 << 19)) != 0);
}
/*
AVX : return true
no AVX : return false
*/
int has_avx (void) {
int info[4];
cpuid(info, 0x00000001);
return ((info[2] & ((int)1 << 28)) != 0);
}
/*
AVX2 : return true
no AVX2 : return false
*/
int has_avx2 (void) {
int info[4];
cpuid(info, 0x00000007);
return ((info[1] & ((int)1 << 5)) != 0);
}

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erasure/cpufeatures.h Normal file
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/*
* Mini Object Storage, (C) 2014 Minio, Inc.
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
#ifndef __CPU_H__
#define __CPU_H__
int has_sse41 (void);
int has_avx (void);
int has_avx2 (void);
#endif /* __CPU_H__ */

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erasure/ctypes.go Normal file
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/*
* Mini Object Storage, (C) 2014 Minio, Inc.
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
package erasure
import "C"
import (
"fmt"
"unsafe"
)
// Integer to Int conversion
func Int2cInt(src_err_list []int) *C.int {
SrcErrInt := int(unsafe.Sizeof(src_err_list[0]))
switch SrcErrInt {
case SizeInt:
return (*C.int)(unsafe.Pointer(&src_err_list[0]))
case SizeInt8:
Int8Array := make([]int8, len(src_err_list))
for i, v := range src_err_list {
Int8Array[i] = int8(v)
}
return (*C.int)(unsafe.Pointer(&Int8Array[0]))
case SizeInt16:
Int16Array := make([]int16, len(src_err_list))
for i, v := range src_err_list {
Int16Array[i] = int16(v)
}
return (*C.int)(unsafe.Pointer(&Int16Array[0]))
case SizeInt32:
Int32Array := make([]int32, len(src_err_list))
for i, v := range src_err_list {
Int32Array[i] = int32(v)
}
return (*C.int)(unsafe.Pointer(&Int32Array[0]))
case SizeInt64:
Int64Array := make([]int64, len(src_err_list))
for i, v := range src_err_list {
Int64Array[i] = int64(v)
}
return (*C.int)(unsafe.Pointer(&Int64Array[0]))
default:
panic(fmt.Sprintf("Unsupported: %d", SizeInt))
}
}

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erasure/decode.go Normal file
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/*
* Mini Object Storage, (C) 2014 Minio, Inc.
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
// +build linux
// amd64
package erasure
// #cgo CPPFLAGS: -Iisal/include
// #cgo LDFLAGS: isal/isa-l.so
// #include <stdlib.h>
// #include <erasure-code.h>
// #include <stdlib.h>
//
// #include "matrix_decode.h"
import "C"
import (
"errors"
"fmt"
"unsafe"
)
func (e *Encoder) Decode(chunks [][]byte, length int) ([]byte, error) {
var decode_matrix *C.uchar
var decode_tbls *C.uchar
var matrix_size C.size_t
var decode_tbls_size C.size_t
k := int(e.p.k)
n := int(e.p.n)
if len(chunks) != n {
return nil, errors.New(fmt.Sprintf("chunks length must be %d", n))
}
var chunk_size int = e.CalcChunkSize(length)
src_err_list := make([]int, n+1)
var err_count int = 0
for i := range chunks {
// Check of chunks are really null
if chunks[i] == nil || len(chunks[i]) == 0 {
src_err_list[err_count] = i
err_count++
}
}
src_err_list[err_count] = -1
err_count++
// Too many missing chunks, cannot be more than parity `m`
if err_count-1 > e.p.m {
return nil, errors.New("too many erasures requested, can't decode")
}
src_err_list_ptr := Int2cInt(src_err_list[:err_count])
for i := range chunks {
if chunks[i] == nil || len(chunks[i]) == 0 {
chunks[i] = make([]byte, chunk_size)
}
}
matrix_size = C.size_t(k * n)
decode_matrix = (*C.uchar)(unsafe.Pointer(C.malloc(matrix_size)))
defer C.free(unsafe.Pointer(decode_matrix))
decode_tbls_size = C.size_t(k * n * 32)
decode_tbls = (*C.uchar)(unsafe.Pointer(C.malloc(decode_tbls_size)))
defer C.free(unsafe.Pointer(decode_tbls))
C.gf_gen_decode_matrix(src_err_list_ptr, e.encode_matrix,
decode_matrix, e.k, e.k+e.m, C.int(err_count-1), matrix_size)
C.ec_init_tables(e.k, C.int(err_count-1), decode_matrix, decode_tbls)
e.decode_matrix = decode_matrix
e.decode_tbls = decode_tbls
pointers := make([]*byte, n)
for i := range chunks {
pointers[i] = &chunks[i][0]
}
data := (**C.uchar)(unsafe.Pointer(&pointers[:k][0]))
coding := (**C.uchar)(unsafe.Pointer(&pointers[k:][0]))
C.ec_encode_data(C.int(matrix_size), e.k, C.int(err_count-1), e.decode_tbls,
data, coding)
recovered_output := make([]byte, 0, chunk_size*k)
for i := 0; i < k; i++ {
recovered_output = append(recovered_output, chunks[i]...)
}
return recovered_output[:length], nil
}
func Decode(chunks [][]byte, ep EncoderParams, length int) (block []byte, err error) {
return GetEncoder(ep).Decode(chunks, length)
}

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erasure/encode.go Normal file
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/*
* Mini Object Storage, (C) 2014 Minio, Inc.
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
// +build linux
// amd64
package erasure
// #cgo CPPFLAGS: -Iisal/include
// #cgo LDFLAGS: isal/isa-l.so
// #include <stdlib.h>
// #include <erasure-code.h>
// #include <stdlib.h>
//
// #include "cpufeatures.h"
import "C"
import (
"errors"
"unsafe"
)
const (
VANDERMONDE = iota
CAUCHY = iota
)
const (
DEFAULT_K = 10
DEFAULT_M = 3
)
type EncoderParams struct {
k,
m,
w,
n,
technique int // cauchy or vandermonde matrix (RS)
}
type Encoder struct {
p *EncoderParams
k,
m,
w C.int
encode_matrix,
encode_tbls,
decode_matrix,
decode_tbls *C.uchar
}
// Parameter validation
func ValidateParams(k, m, w, technique int) (*EncoderParams, error) {
if k < 1 {
return nil, errors.New("k cannot be zero")
}
if m < 1 {
return nil, errors.New("m cannot be zero")
}
if k+m > 255 {
return nil, errors.New("(k + m) cannot be bigger than Galois field GF(2^8) - 1")
}
if 1<<uint(w) < k+m {
return nil, errors.New("Wordsize should be bigger than Galois field GF(2^8) - 1")
}
if w < 0 {
return nil, errors.New("Wordsize cannot be negative")
}
switch technique {
case VANDERMONDE:
break
case CAUCHY:
break
default:
return nil, errors.New("Technique can be either vandermonde or cauchy")
}
return &EncoderParams{
k: k,
m: m,
w: w,
n: k + m,
technique: technique,
}, nil
}
func NewEncoder(ep *EncoderParams) *Encoder {
var k = C.int(ep.k)
var m = C.int(ep.m)
var w = C.int(ep.w)
var n = C.int(ep.n)
var encode_matrix *C.uchar
var encode_tbls *C.uchar
var matrix_size C.size_t
var encode_tbls_size C.size_t
matrix_size = C.size_t(k * n)
encode_matrix = (*C.uchar)(unsafe.Pointer(C.malloc(matrix_size)))
defer C.free(unsafe.Pointer(encode_matrix))
encode_tbls_size = C.size_t(k * n * 32)
encode_tbls = (*C.uchar)(unsafe.Pointer(C.malloc(encode_tbls_size)))
defer C.free(unsafe.Pointer(encode_tbls))
if ep.technique == VANDERMONDE {
// Commonly used method for choosing coefficients in erasure encoding
// but does not guarantee invertable for every sub matrix. For large
// k it is possible to find cases where the decode matrix chosen from
// sources and parity not in erasure are not invertable. Users may
// want to adjust for k > 5.
// -- Intel
C.gf_gen_rs_matrix(encode_matrix, n, k)
} else if ep.technique == CAUCHY {
C.gf_gen_cauchy1_matrix(encode_matrix, n, k)
}
C.ec_init_tables(k, m, encode_matrix, encode_tbls)
return &Encoder{
p: ep,
k: k,
m: m,
w: w,
encode_matrix: encode_matrix,
encode_tbls: encode_tbls,
decode_matrix: nil,
decode_tbls: nil,
}
}
func (e *Encoder) CalcChunkSize(block_len int) int {
var alignment int = e.p.k * e.p.w
var padding = block_len % alignment
var padded_len int
if padding > 0 {
padded_len = block_len + (alignment - padding)
} else {
padded_len = block_len
}
return padded_len / e.p.k
}
func (e *Encoder) Encode(block []byte) ([][]byte, int) {
var block_len = len(block)
chunk_size := e.CalcChunkSize(block_len)
padded_len := chunk_size * e.p.k
if (padded_len - block_len) > 0 {
s := make([]byte, (padded_len - block_len))
// Expand with new padded blocks to the byte array
block = append(block, s...)
}
coded_len := chunk_size * e.p.m
c := make([]byte, coded_len)
block = append(block, c...)
// Allocate chunks
chunks := make([][]byte, e.p.n)
pointers := make([]*byte, e.p.n)
var i int
// Add data and code blocks to chunks
for i = 0; i < e.p.n; i++ {
chunks[i] = block[i*chunk_size : (i+1)*chunk_size]
pointers[i] = &chunks[i][0]
}
data := (**C.uchar)(unsafe.Pointer(&pointers[:e.p.k][0]))
coding := (**C.uchar)(unsafe.Pointer(&pointers[e.p.k:][0]))
C.ec_encode_data(C.int(chunk_size), e.k, e.m, e.encode_tbls, data,
coding)
return chunks, block_len
}
func GetEncoder(ep EncoderParams) *Encoder {
return DefaultCache.GetC(ep)
}
func Encode(data []byte, ep EncoderParams) (chunks [][]byte, length int) {
return GetEncoder(ep).Encode(data)
}

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erasure/lru.go Normal file
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/*
* Mini Object Storage, (C) 2014 Minio, Inc.
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
package erasure
import (
"github.com/golang/groupcache/lru"
"sync"
)
// thread-safe LRU cache from GroupCache
type Cache struct {
mutex sync.RWMutex
cache *lru.Cache
}
var DefaultCache *Cache = GetCache(0)
// Allocate ``Cache`` LRU
func GetCache(capacity int) *Cache {
return &Cache{
cache: lru.New(capacity),
}
}
// ``GetC()`` -- Grab encoder from LRU
func (c *Cache) GetC(ep EncoderParams) *Encoder {
if encoder, ret := c._Get(ep); ret {
return encoder
}
encoder := NewEncoder(&ep)
c._Put(ep, encoder)
return encoder
}
// ``_Get()`` -- Get key from existing LRU
func (c *Cache) _Get(ep EncoderParams) (*Encoder, bool) {
c.mutex.RLock()
defer c.mutex.RUnlock()
if encoder, ret := c.cache.Get(ep); ret {
return encoder.(*Encoder), ret
}
return nil, false
}
// ``_Put()`` -- Add key to existing LRU
func (c *Cache) _Put(ep EncoderParams, encoder *Encoder) {
c.mutex.Lock()
defer c.mutex.Unlock()
c.cache.Add(ep, encoder)
}

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erasure/matrix_decode.c Normal file
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/*
* Mini Object Storage, (C) 2014 Minio, Inc.
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
#include <stdio.h>
#include <stdlib.h>
#include <erasure-code.h>
#include "matrix_decode.h"
static int src_in_err (int r, int *src_err_list)
{
int i;
for (i = 0; src_err_list[i] != -1; i++) {
if (src_err_list[i] == r) {
return 1;
}
}
// false
return 0;
}
/*
Generate decode matrix during the decoding phase
*/
int gf_gen_decode_matrix (int *src_err_list,
unsigned char *encode_matrix,
unsigned char *decode_matrix,
int k, int n, int errs,
size_t matrix_size)
{
int i, j, r, s, l, z;
unsigned char *input_matrix = NULL;
unsigned char *inverse_matrix = NULL;
input_matrix = malloc(k * n);
if (!input_matrix) {
return -1;
}
inverse_matrix = malloc(matrix_size);
if (!inverse_matrix) {
return -1;
}
for (i = 0, r = 0; i < k; i++, r++) {
while (src_in_err(r, src_err_list))
r++;
for (j = 0; j < k; j++) {
input_matrix[k * i + j] = encode_matrix[k * r + j];
}
}
// Not all Vandermonde matrix can be inverted
if (gf_invert_matrix(input_matrix, inverse_matrix, k) < 0) {
return -1;
}
for (l = 0; l < errs; l++) {
if (src_err_list[l] < k) {
// decoding matrix elements for data chunks
for (j = 0; j < k; j++) {
decode_matrix[k * l + j] =
inverse_matrix[k *
src_err_list[l] + j];
}
} else {
int s = 0;
// decoding matrix element for coding chunks
for (i = 0; i < k; i++) {
s = 0;
for (j = 0; j < k; j++) {
s ^= gf_mul(inverse_matrix[j * k + i],
encode_matrix[k *
src_err_list[l] + j]);
}
decode_matrix[k * l + i] = s;
}
}
}
free(input_matrix);
free(inverse_matrix);
return 0;
}

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erasure/matrix_decode.h Normal file
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/*
* Mini Object Storage, (C) 2014 Minio, Inc.
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
#ifndef __MATRIX_DECODE_H__
#define __MATRIX_DECODE_H__
int gf_gen_decode_matrix (int *src_err_list,
unsigned char *encoding_matrix,
unsigned char *decode_matrix, int k, int n,
int errs, size_t matrix_size);
#endif /* __MATRIX_DECODE_H__ */

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erasure/stdint.go Normal file
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/*
* Mini Object Storage, (C) 2014 Minio, Inc.
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
package erasure
//
// int SizeInt()
// {
// return sizeof(int);
// }
import "C"
import "unsafe"
var (
// See http://golang.org/ref/spec#Numeric_types
// SizeUint8 is the byte size of a uint8.
SizeUint8 = int(unsafe.Sizeof(uint8(0)))
// SizeUint16 is the byte size of a uint16.
SizeUint16 = int(unsafe.Sizeof(uint16(0)))
// SizeUint32 is the byte size of a uint32.
SizeUint32 = int(unsafe.Sizeof(uint32(0)))
// SizeUint64 is the byte size of a uint64.
SizeUint64 = int(unsafe.Sizeof(uint64(0)))
SizeInt = int(C.SizeInt())
// SizeInt8 is the byte size of a int8.
SizeInt8 = int(unsafe.Sizeof(int8(0)))
// SizeInt16 is the byte size of a int16.
SizeInt16 = int(unsafe.Sizeof(int16(0)))
// SizeInt32 is the byte size of a int32.
SizeInt32 = int(unsafe.Sizeof(int32(0)))
// SizeInt64 is the byte size of a int64.
SizeInt64 = int(unsafe.Sizeof(int64(0)))
)

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/*
* Mini Object Storage, (C) 2014 Minio, Inc.
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
package erasure
import (
"bytes"
"testing"
)
func TestVanderMondeEncode(t *testing.T) {
ep, _ := ValidateParams(10, 5, 8, VANDERMONDE)
p := NewEncoder(ep)
data := make([]byte, 1000)
chunks, length := p.Encode(data)
t.Logf("chunks length: %d;\nlength: %d\n", len(chunks), length)
if length != len(data) {
t.Fatal()
}
}
func TestVanderMondeDecode(t *testing.T) {
ep, _ := ValidateParams(10, 5, 8, VANDERMONDE)
p := NewEncoder(ep)
data := []byte("Lorem Ipsum is simply dummy text of the printing and typesetting industry. Lorem Ipsum has been the industry's standard dummy text ever since the 1500s, when an unknown printer took a galley of type and scrambled it to make a type specimen book. It has survived not only five centuries, but also the leap into electronic typesetting, remaining essentially unchanged. It was popularised in the 1960s with the release of Letraset sheets containing Lorem Ipsum passages, and more recently with desktop publishing software like Aldus PageMaker including versions of Lorem Ipsum.")
chunks, length := p.Encode(data)
t.Logf("chunks length: %d;\nlength: %d\n", len(chunks), length)
if length != len(data) {
t.Fatal()
}
chunks[0] = nil
chunks[3] = nil
chunks[5] = nil
chunks[9] = nil
chunks[13] = nil
recovered_data, err := p.Decode(chunks, length)
if err != nil {
t.Fatalf("Error: %s", err)
}
if i := bytes.Compare(recovered_data, data); i < 0 {
t.Fatalf("Error: recovered data is less than original data")
}
}