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Diffstat (limited to 'vendor/github.com/boombuler/barcode/utils/gfpoly.go')
-rw-r--r--vendor/github.com/boombuler/barcode/utils/gfpoly.go103
1 files changed, 103 insertions, 0 deletions
diff --git a/vendor/github.com/boombuler/barcode/utils/gfpoly.go b/vendor/github.com/boombuler/barcode/utils/gfpoly.go
new file mode 100644
index 0000000000..c56bb40b9a
--- /dev/null
+++ b/vendor/github.com/boombuler/barcode/utils/gfpoly.go
@@ -0,0 +1,103 @@
+package utils
+
+type GFPoly struct {
+ gf *GaloisField
+ Coefficients []int
+}
+
+func (gp *GFPoly) Degree() int {
+ return len(gp.Coefficients) - 1
+}
+
+func (gp *GFPoly) Zero() bool {
+ return gp.Coefficients[0] == 0
+}
+
+// GetCoefficient returns the coefficient of x ^ degree
+func (gp *GFPoly) GetCoefficient(degree int) int {
+ return gp.Coefficients[gp.Degree()-degree]
+}
+
+func (gp *GFPoly) AddOrSubstract(other *GFPoly) *GFPoly {
+ if gp.Zero() {
+ return other
+ } else if other.Zero() {
+ return gp
+ }
+ smallCoeff := gp.Coefficients
+ largeCoeff := other.Coefficients
+ if len(smallCoeff) > len(largeCoeff) {
+ largeCoeff, smallCoeff = smallCoeff, largeCoeff
+ }
+ sumDiff := make([]int, len(largeCoeff))
+ lenDiff := len(largeCoeff) - len(smallCoeff)
+ copy(sumDiff, largeCoeff[:lenDiff])
+ for i := lenDiff; i < len(largeCoeff); i++ {
+ sumDiff[i] = int(gp.gf.AddOrSub(int(smallCoeff[i-lenDiff]), int(largeCoeff[i])))
+ }
+ return NewGFPoly(gp.gf, sumDiff)
+}
+
+func (gp *GFPoly) MultByMonominal(degree int, coeff int) *GFPoly {
+ if coeff == 0 {
+ return gp.gf.Zero()
+ }
+ size := len(gp.Coefficients)
+ result := make([]int, size+degree)
+ for i := 0; i < size; i++ {
+ result[i] = int(gp.gf.Multiply(int(gp.Coefficients[i]), int(coeff)))
+ }
+ return NewGFPoly(gp.gf, result)
+}
+
+func (gp *GFPoly) Multiply(other *GFPoly) *GFPoly {
+ if gp.Zero() || other.Zero() {
+ return gp.gf.Zero()
+ }
+ aCoeff := gp.Coefficients
+ aLen := len(aCoeff)
+ bCoeff := other.Coefficients
+ bLen := len(bCoeff)
+ product := make([]int, aLen+bLen-1)
+ for i := 0; i < aLen; i++ {
+ ac := int(aCoeff[i])
+ for j := 0; j < bLen; j++ {
+ bc := int(bCoeff[j])
+ product[i+j] = int(gp.gf.AddOrSub(int(product[i+j]), gp.gf.Multiply(ac, bc)))
+ }
+ }
+ return NewGFPoly(gp.gf, product)
+}
+
+func (gp *GFPoly) Divide(other *GFPoly) (quotient *GFPoly, remainder *GFPoly) {
+ quotient = gp.gf.Zero()
+ remainder = gp
+ fld := gp.gf
+ denomLeadTerm := other.GetCoefficient(other.Degree())
+ inversDenomLeadTerm := fld.Invers(int(denomLeadTerm))
+ for remainder.Degree() >= other.Degree() && !remainder.Zero() {
+ degreeDiff := remainder.Degree() - other.Degree()
+ scale := int(fld.Multiply(int(remainder.GetCoefficient(remainder.Degree())), inversDenomLeadTerm))
+ term := other.MultByMonominal(degreeDiff, scale)
+ itQuot := NewMonominalPoly(fld, degreeDiff, scale)
+ quotient = quotient.AddOrSubstract(itQuot)
+ remainder = remainder.AddOrSubstract(term)
+ }
+ return
+}
+
+func NewMonominalPoly(field *GaloisField, degree int, coeff int) *GFPoly {
+ if coeff == 0 {
+ return field.Zero()
+ }
+ result := make([]int, degree+1)
+ result[0] = coeff
+ return NewGFPoly(field, result)
+}
+
+func NewGFPoly(field *GaloisField, coefficients []int) *GFPoly {
+ for len(coefficients) > 1 && coefficients[0] == 0 {
+ coefficients = coefficients[1:]
+ }
+ return &GFPoly{field, coefficients}
+}