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strassen.go
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strassen.go
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package main
import (
"bufio"
"fmt"
"io"
"io/ioutil"
"math/rand"
"os"
"strconv"
"strings"
"time"
)
type MatrixFun struct {
a [][]int
b [][]int
res [][]int
a11 [][]int
a12 [][]int
a21 [][]int
a22 [][]int
b11 [][]int
b12 [][]int
b21 [][]int
b22 [][]int
c11 [][]int
c12 [][]int
c21 [][]int
c22 [][]int
p1 [][]int
p2 [][]int
p3 [][]int
p4 [][]int
p5 [][]int
p6 [][]int
p7 [][]int
}
func main() {
custom, _ := strconv.Atoi(os.Args[1])
dimensions, _ := strconv.Atoi(os.Args[2])
inputfile := os.Args[3]
ret := BuildMatricesFromInput(dimensions, inputfile)
if custom == 1 { //run classic
_ = ClassicMatrixMult(ret.a, ret.b)
} else if custom == 2 { //run strassen
_ = StrassenMatrixMult(&ret, 16)
} else if custom == 0 { //TODO MAKE THIS RUN THE OPTIMIZED VERSION OF STRASSEN
c := ClassicMatrixMult(ret.a, ret.b)
ret.res = c
PrintSpecOutput(&ret, dimensions)
} else {
_ = StrassenMatrixMult(&ret, custom)
}
os.Remove(inputfile)
}
func BuildMatricesFromInput(dimensions int, inputfile string) MatrixFun {
rand.Seed(time.Now().Unix())
var _, err = os.Stat(inputfile)
if os.IsNotExist(err) {
var file, _ = os.Create(inputfile)
defer file.Close()
}
f, err := os.OpenFile(inputfile, os.O_APPEND|os.O_WRONLY, 0600)
if err != nil {
panic(err)
}
defer f.Close()
count := 0
for count < (2 * (dimensions * dimensions)) {
str := fmt.Sprintf("%d", Random(1, 10))
if _, err = f.WriteString(str + "\n"); err != nil {
panic(err)
}
count++
}
b, _ := ioutil.ReadFile(inputfile)
tf := string(b)
ints, _ := ReadInts(strings.NewReader(tf))
ret := BuildMatrices(dimensions, ints)
return ret
}
func PrintSpecOutput(matrix_set *MatrixFun, dimensions int) {
for i := 0; i < dimensions; i++ {
for j := 0; j < dimensions; j++ {
if i == j {
fmt.Println(matrix_set.res[i][j])
}
}
}
}
func AddMatrices(a [][]int, b [][]int) [][]int {
c := [][]int{}
count := 0
dimensions := len(a[0])
for count < dimensions {
y := make([]int, dimensions)
c = append(c, y)
count++
}
for i := 0; i < dimensions; i++ {
for j := 0; j < dimensions; j++ {
c[i][j] = a[i][j] + b[i][j]
}
}
return c
}
func SubtractMatrices(a [][]int, b [][]int) [][]int {
c := [][]int{}
count := 0
dimensions := len(a[0])
for count < dimensions {
y := make([]int, dimensions)
c = append(c, y)
count++
}
for i := 0; i < dimensions; i++ {
for j := 0; j < dimensions; j++ {
c[i][j] = a[i][j] - b[i][j]
}
}
return c
}
func StrassenMatrixMult(matrix_set *MatrixFun, transition int) MatrixFun {
dimensions := len(matrix_set.a[0])
new_dimensions := dimensions / 2
if dimensions <= transition {
return ClassicMatrixMult_K_First(matrix_set)
} else {
for i := 0; i < dimensions; i++ {
if i < new_dimensions {
matrix_set.b11 = append(matrix_set.b11, matrix_set.b[i][:new_dimensions])
matrix_set.b12 = append(matrix_set.b12, matrix_set.b[i][new_dimensions:])
matrix_set.a11 = append(matrix_set.a11, matrix_set.a[i][:new_dimensions])
matrix_set.a12 = append(matrix_set.a12, matrix_set.a[i][new_dimensions:])
} else {
matrix_set.b21 = append(matrix_set.b21, matrix_set.b[i][:new_dimensions])
matrix_set.b22 = append(matrix_set.b22, matrix_set.b[i][new_dimensions:])
matrix_set.a21 = append(matrix_set.a21, matrix_set.a[i][:new_dimensions])
matrix_set.a22 = append(matrix_set.a22, matrix_set.a[i][new_dimensions:])
}
}
matrix_set.p1 = StrassenMatrixMult(&MatrixFun{a: matrix_set.a11, b: SubtractMatrices(matrix_set.b12, matrix_set.b22)}, transition).res
matrix_set.p2 = StrassenMatrixMult(&MatrixFun{a: AddMatrices(matrix_set.a11, matrix_set.a12), b: matrix_set.b22}, transition).res
matrix_set.p3 = StrassenMatrixMult(&MatrixFun{a: AddMatrices(matrix_set.a21, matrix_set.a22), b: matrix_set.b11}, transition).res
matrix_set.p4 = StrassenMatrixMult(&MatrixFun{a: matrix_set.a22, b: SubtractMatrices(matrix_set.b21, matrix_set.b11)}, transition).res
matrix_set.p5 = StrassenMatrixMult(&MatrixFun{a: AddMatrices(matrix_set.a11, matrix_set.a22), b: AddMatrices(matrix_set.b11, matrix_set.b22)}, transition).res
matrix_set.p6 = StrassenMatrixMult(&MatrixFun{a: SubtractMatrices(matrix_set.a12, matrix_set.a22), b: AddMatrices(matrix_set.b21, matrix_set.b22)}, transition).res
matrix_set.p7 = StrassenMatrixMult(&MatrixFun{a: SubtractMatrices(matrix_set.a11, matrix_set.a21), b: AddMatrices(matrix_set.b11, matrix_set.b12)}, transition).res
matrix_set.c11 = AddMatrices(SubtractMatrices(AddMatrices(matrix_set.p5, matrix_set.p4), matrix_set.p2), matrix_set.p6)
matrix_set.c12 = AddMatrices(matrix_set.p1, matrix_set.p2)
matrix_set.c21 = AddMatrices(matrix_set.p3, matrix_set.p4)
matrix_set.c22 = SubtractMatrices(SubtractMatrices(AddMatrices(matrix_set.p5, matrix_set.p1), matrix_set.p3), matrix_set.p7)
matrix_set.res = ZeroMatrix(dimensions)
y := 0
for x := 0; x < dimensions; x++ {
if x < (dimensions / 2) {
matrix_set.res[x] = append(matrix_set.c11[x], matrix_set.c12[x]...)
} else {
matrix_set.res[x] = append(matrix_set.c21[y], matrix_set.c22[y]...)
y++
}
}
return *matrix_set
}
}
func ClassicMatrixMult_K_First(matrix_set *MatrixFun) MatrixFun {
dimensions := len(matrix_set.a)
matrix_set.res = ZeroMatrix(dimensions)
for i := 0; i < dimensions; i++ {
for k := 0; k < dimensions; k++ {
for j := 0; j < dimensions; j++ {
matrix_set.res[i][j] += (matrix_set.a[i][k] * matrix_set.b[k][j])
}
}
}
return *matrix_set
}
func ClassicMatrixMult(a [][]int, b [][]int) [][]int {
c := [][]int{}
count := 0
dimensions := len(a[0])
for count < dimensions {
y := make([]int, dimensions)
c = append(c, y)
count++
}
for i := 0; i < dimensions; i++ {
for j := 0; j < dimensions; j++ {
for k := 0; k < dimensions; k++ {
c[i][j] += (a[i][k] * b[k][j])
}
}
}
return c
}
func BuildMatrices(dimensions int, ints []int) MatrixFun {
matrix_set := MatrixFun{}
count := 0
prev := 0
next := dimensions
for count < dimensions {
y := ints[prev:next]
matrix_set.a = append(matrix_set.a, y)
prev = next
next = next + dimensions
count++
}
count = 0
for count < dimensions {
y := ints[prev:next]
matrix_set.b = append(matrix_set.b, y)
prev = next
next = next + dimensions
count++
}
count = 0
for count < dimensions {
y := make([]int, dimensions)
matrix_set.res = append(matrix_set.res, y)
prev = next
next = next + dimensions
count++
}
return matrix_set
}
func ZeroMatrix(dimensions int) [][]int {
count := 0
res := [][]int{}
for count < dimensions {
y := make([]int, dimensions)
res = append(res, y)
count++
}
return res
}
// ReadInts reads whitespace-separated ints from r. If there's an error, it
// returns the ints successfully read so far as well as the error value.
func ReadInts(r io.Reader) ([]int, error) {
scanner := bufio.NewScanner(r)
scanner.Split(bufio.ScanWords)
var result []int
for scanner.Scan() {
x, err := strconv.Atoi(scanner.Text())
if err != nil {
return result, err
}
result = append(result, x)
}
return result, scanner.Err()
}
func Random(min, max int) int {
return rand.Intn(max-min) + min
}