/
ex_complex.go
136 lines (115 loc) · 3.49 KB
/
ex_complex.go
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package atoms
import (
"encoding/binary"
"fmt"
"hash/fnv"
"github.com/corywalker/expreduce/pkg/expreduceapi"
)
type Complex struct {
Re expreduceapi.Ex
Im expreduceapi.Ex
needsEval bool
}
func (cmplx *Complex) StringForm(p expreduceapi.ToStringParams) string {
if p.Form == "FullForm" {
return fmt.Sprintf("Complex[%v, %v]", cmplx.Re, cmplx.Im)
}
reInt, reIsInt := cmplx.Re.(*Integer)
imInt, imIsInt := cmplx.Im.(*Integer)
if reIsInt && reInt.Val.Sign() == 0 {
if imIsInt && imInt.Val.Int64() == 1 {
return "I"
}
p.PreviousHead = "System`Times"
return fmt.Sprintf("(%v*I)", cmplx.Im.StringForm(p))
}
p.PreviousHead = "System`Plus"
return fmt.Sprintf("(%v + %v*I)", cmplx.Re.StringForm(p), cmplx.Im.StringForm(p))
}
func (cmplx *Complex) IsEqual(other expreduceapi.Ex) string {
otherConv, otherIsComplex := other.(*Complex)
if !otherIsComplex {
return "EQUAL_FALSE"
}
if (cmplx.Re.IsEqual(otherConv.Re) != "EQUAL_TRUE") || (cmplx.Im.IsEqual(otherConv.Im) != "EQUAL_TRUE") {
return "EQUAL_FALSE"
}
return "EQUAL_TRUE"
}
func (cmplx *Complex) DeepCopy() expreduceapi.Ex {
return &Complex{cmplx.Re.DeepCopy(), cmplx.Im.DeepCopy(), cmplx.needsEval}
}
func (cmplx *Complex) Copy() expreduceapi.Ex {
return cmplx.DeepCopy()
}
func (cmplx *Complex) NeedsEval() bool {
return cmplx.needsEval
}
func NewComplex(r expreduceapi.Ex, i expreduceapi.Ex) *Complex {
return &Complex{r, i, true}
}
func (cmplx *Complex) Hash() uint64 {
h := fnv.New64a()
h.Write([]byte{82, 226, 223, 39, 113, 26, 149, 249})
b := make([]byte, 8)
binary.LittleEndian.PutUint64(b, cmplx.Re.Hash())
h.Write(b)
binary.LittleEndian.PutUint64(b, cmplx.Im.Hash())
h.Write(b)
return h.Sum64()
}
func (cmplx *Complex) addReal(e expreduceapi.Ex) {
a, _ := ComputeNumericPart(FoldFnAdd, E(S("Dummy"), cmplx.Re, e))
cmplx.Re = a
cmplx.needsEval = true
}
func (cmplx *Complex) addI(i *Integer) {
cmplx.addReal(i)
}
func (cmplx *Complex) addF(f *Flt) {
cmplx.addReal(f)
}
func (cmplx *Complex) addR(r *Rational) {
cmplx.addReal(r)
}
func (cmplx *Complex) addC(c *Complex) {
a, _ := ComputeNumericPart(FoldFnAdd, E(S("Dummy"), cmplx.Re, c.Re))
b, _ := ComputeNumericPart(FoldFnAdd, E(S("Dummy"), cmplx.Im, c.Im))
cmplx.Re = a
cmplx.Im = b
cmplx.needsEval = true
}
func (cmplx *Complex) mulReal(e expreduceapi.Ex) {
a, _ := ComputeNumericPart(FoldFnMul, E(S("Dummy"), cmplx.Re, e))
b, _ := ComputeNumericPart(FoldFnMul, E(S("Dummy"), cmplx.Im, e))
cmplx.Re = a
cmplx.Im = b
cmplx.needsEval = true
}
func (cmplx *Complex) mulI(i *Integer) {
cmplx.mulReal(i)
}
func (cmplx *Complex) mulF(f *Flt) {
cmplx.mulReal(f)
}
func (cmplx *Complex) mulR(r *Rational) {
cmplx.mulReal(r)
}
func (cmplx *Complex) mulC(c *Complex) {
// HoldPattern[Complex[x_, y_]*Complex[u_, v_]*rest___] -> Complex[x*u + (y*v)*(-1), x*v + y*u]*rest)
// cmplx is ugly. Need to refactor.
// Perhaps create "Calculator" utility??
// TODO(corywalker) Remove the definition that cmplx implements in code.
a, _ := ComputeNumericPart(FoldFnMul, E(S("Dummy"), cmplx.Re, c.Re))
b, _ := ComputeNumericPart(FoldFnMul, E(S("Dummy"), NewInt(-1), cmplx.Im, c.Im))
cc, _ := ComputeNumericPart(FoldFnMul, E(S("Dummy"), cmplx.Re, c.Im))
d, _ := ComputeNumericPart(FoldFnMul, E(S("Dummy"), cmplx.Im, c.Re))
e, _ := ComputeNumericPart(FoldFnAdd, E(S("Dummy"), a, b))
f, _ := ComputeNumericPart(FoldFnAdd, E(S("Dummy"), cc, d))
cmplx.Re = e
cmplx.Im = f
cmplx.needsEval = true
}
func (cmplx *Complex) SetNeedsEval(newVal bool) {
cmplx.needsEval = newVal
}