func textToCasReal(instring string, recs string) (exp Express, err error) {
//TextToCas will turn a string (eg "2*x+3") to an Express class
//var origin = instring
//fmt.Println(instring, "oi")
newstringindent := recs + " "
origin := instring
//fix stupid signs
instring = strings.Replace(instring, "-", "+-", -1)
instring = strings.Replace(instring, "++", "+", -1)
instring = strings.Replace(instring, "--", "+", -1)
instring = strings.Replace(instring, "(+-", "(-", -1)
newinstring := ""
for index, charbyte := range instring {
char := string(charbyte)
if char == "_" && index != 0 &&
strmans.StringInSlice(string(instring[index-1]), []string{"*", "/", "+", "-", "("}) == false &&
(((index >= 2 && string(instring[index-2]) == "-") || (index+1 < len(instring) && string(instring[index+1]) == "{")) == false) {
newinstring += "*"
}
newinstring += char
}
instring = newinstring
if len(strmans.StrToBracketpairs(instring)) > 0 &&
strmans.StrToBracketpairs(instring)[0][0] == 0 &&
strmans.StrToBracketpairs(instring)[0][1] == len(instring)-1 {
instring = instring[1 : len(instring)-1]
}
if string(instring[0]) == "+" || string(instring[0]) == "*" {
instring = instring[1:]
}
//fix negative numbers
if instring == "-1" { //Avoid "-1" becomes product(-1,1)
return Number("-1"), nil
}
if string(instring[0]) == "-" && len(strmans.FindCharOutsideBracket("+", instring)) == 0 {
dbg.Debug(10, recs+origin+" Becomes minusnumber")
retval, err := textToCasReal(instring[1:], newstringindent)
if err == nil {
return Product(Number("-1"), retval), nil
} else {
panic("bad input to TextToCas " + origin)
}
}
/*if string(instring[0]) == "-" &&
len(strmans.StrToBracketpairs(instring)) == 0 {
dbg.Debug(10, recs+origin+" Becomes minusnumber")
retval, err := textToCasReal(instring[1:], newstringindent)
if err == nil {
return Product(Number("-1"), retval), nil
} else {
panic("bad input to TextToCas " + origin)
}
}*/
//remove unnecessary bracket it's sorrounding the whole instring
bracketPairs := strmans.StrToBracketpairs(instring)
if len(bracketPairs) > 0 && bracketPairs[0][0] == 0 && bracketPairs[0][1] == len(instring)-1 {
instring = instring[1 : len(instring)-1]
}
bracketPairs = strmans.StrToBracketpairs(instring)
if instring == "-1" { //Avoid "-1" becomes product(-1,1)
return Number("-1"), nil
}
//parse addition
plusses := strmans.FindCharOutsideBracket("+", instring)
if len(plusses) > 0 {
dbg.Debug(10, recs+origin+" becomes ADDITION"+
fmt.Sprintf("%v", strmans.SplitStringByIndexes(instring, plusses)))
var retaddends []Express
for _, addendstring := range strmans.SplitStringByIndexes(instring, plusses) {
returnaddend, err := textToCasReal(addendstring, newstringindent)
if err != nil {
panic("bad input to TextToCas " + origin)
}
retaddends = append(retaddends, returnaddend)
}
return Addition(retaddends...), nil
}
//if it's not addition, check for product
productsigns := strmans.FindCharOutsideBracket("*", instring)
if len(productsigns) > 0 {
dbg.Debug(10, recs+origin+" becomes PRODUCT"+
fmt.Sprintf("%v", strmans.SplitStringByIndexes(instring, productsigns)))
var retfactors []Express
for _, factorstring := range strmans.SplitStringByIndexes(instring, productsigns) {
returnfactor, err := textToCasReal(factorstring, newstringindent)
if err != nil {
panic("bad input to TextToCas " + origin)
}
retfactors = append(retfactors, returnfactor)
}
return Product(retfactors...), nil
}
//if it's not a product, check for fraction
fractionsigns := strmans.FindCharOutsideBracket("/", instring)
if len(fractionsigns) > 0 {
if len(fractionsigns) > 1 {
dbg.Debug(0, "BAD FRACTION, DON'T DO STUFF LIKE 2/3/2 (BRACKETS PLEASE)")
}
dbg.Debug(10, recs+origin+" becomes FRACTION"+
fmt.Sprintf("%v", strmans.SplitStringByIndexes(instring, fractionsigns)))
retnum, err1 := textToCasReal(strmans.SplitStringByIndexes(instring, fractionsigns)[0], newstringindent)
retdenom, err2 := textToCasReal(strmans.SplitStringByIndexes(instring, fractionsigns)[1], newstringindent)
if err1 != nil || err2 != nil {
panic("bad input to TextToCas " + origin)
}
return Fraction(retnum, retdenom), nil
}
//if it's not a fraction, then it might be a power
powersigns := strmans.FindCharOutsideBracket("^", instring)
if len(powersigns) > 0 {
if len(powersigns) > 1 {
dbg.Debug(0, "BAD POWER, PLEASE USE BRACKETS")
}
dbg.Debug(10, recs+origin+" becomes POWER"+
fmt.Sprintf("%v", (strmans.SplitStringByIndexes(instring, powersigns))))
rootandexpstrings := strmans.SplitStringByIndexes(instring, powersigns)
retroot, err1 := textToCasReal(rootandexpstrings[0], newstringindent)
retexp, err2 := textToCasReal(rootandexpstrings[1], newstringindent)
if err1 != nil || err2 != nil {
panic("Bad input to TextToCas " + origin)
}
retval := Power(retroot, retexp)
retval.Forcepowerprint = true
return retval, nil
}
//no usual things to look after; check for functions
for index, charbytes := range instring {
char := string(charbytes)
if char == "(" && string(instring[index-1]) != "(" && string(instring[index-1]) != ")" {
startbracket := index
//find function string
bracketoffset := 1
var funcend int
for indexk := len(instring) - 1; indexk > -1; indexk-- {
if string(instring[indexk]) == "(" {
bracketoffset++
} else if string(instring[indexk]) == ")" {
bracketoffset--
if bracketoffset == 0 {
funcend = indexk
break
}
}
}
funcstring := instring[0:startbracket]
insidebrackets := instring[startbracket+1 : funcend]
//findcommas
escapeoffset := 0
var commaindexes []int
for index, charbytes := range insidebrackets {
char := string(charbytes)
if escapeoffset > 0 {
if char == "}" {
escapeoffset--
}
}
if char == "{" {
escapeoffset++
}
if char == "," {
commaindexes = append(commaindexes, index)
}
}
if len(commaindexes) == 0 {
switch funcstring {
case "sin":
{
dbg.Debug(10, recs+origin+" becomes sine: "+insidebrackets)
argexp, err := textToCasReal(insidebrackets, newstringindent)
if err != nil {
panic("bad input to TextToCas " + origin)
}
return Sine(argexp), nil
}
case "cos":
{
dbg.Debug(10, recs+origin+" becomes cosine: "+insidebrackets)
argexp, err := textToCasReal(insidebrackets, newstringindent)
if err != nil {
panic("bad input to TextToCas " + origin)
}
return Cosine(argexp), nil
}
case "tan":
{
dbg.Debug(10, recs+origin+" becomes tangent: "+insidebrackets)
argexp, err := textToCasReal(insidebrackets, newstringindent)
if err != nil {
panic("bad input to TextToCas " + origin)
}
return Tangent(argexp), nil
}
case "arcsin":
{
dbg.Debug(10, recs+origin+" becomes arcsine: "+insidebrackets)
argexp, err := textToCasReal(insidebrackets, newstringindent)
if err != nil {
panic("bad input to TextToCas " + origin)
}
return Arcsine(argexp), nil
}
case "arccos":
{
dbg.Debug(10, recs+origin+" becomes arccosine: "+insidebrackets)
argexp, err := textToCasReal(insidebrackets, newstringindent)
if err != nil {
panic("bad input to TextToCas " + origin)
}
return Arccosine(argexp), nil
}
case "arctan":
{
dbg.Debug(10, recs+origin+" becomes arctangent: "+insidebrackets)
argexp, err := textToCasReal(insidebrackets, newstringindent)
if err != nil {
panic("bad input to TextToCas " + origin)
}
return Arctangent(argexp), nil
}
case "ln":
{
dbg.Debug(10, recs+origin+" becomes natlogarithm: "+insidebrackets)
argexp, err := textToCasReal(insidebrackets, newstringindent)
if err != nil {
panic("bad input to TextToCas " + origin)
}
return Natlog(argexp), nil
}
case "log":
{
dbg.Debug(10, recs+origin+" becomes comlogarithm: "+insidebrackets)
argexp, err := textToCasReal(insidebrackets, newstringindent)
if err != nil {
panic("bad input to TextToCas " + origin)
}
return Comlog(argexp), nil
}
case "sqrt":
{
dbg.Debug(10, recs+origin+" becomes squareroot: "+insidebrackets)
argexp, err := textToCasReal(insidebrackets, newstringindent)
if err != nil {
panic("bad input to TextToCas " + origin)
}
return Squareroot(argexp), nil
}
default:
{
dbg.Debug(10, recs+origin+" becomes unknownfunction: "+
funcstring+"("+insidebrackets+")")
argexp, err := textToCasReal(insidebrackets, newstringindent)
if err != nil {
panic("bad input to TextToCas " + origin)
}
return Unknownfunction(funcstring, []Express{argexp}), nil
}
}
} else {
argstrings := strmans.SplitStringByIndexes(insidebrackets, commaindexes)
dbg.Debug(10, recs+origin+"becomes unknownfunction: "+
funcstring+"("+insidebrackets+")")
var retargs []Express
for _, argstr := range argstrings {
retarg, err := textToCasReal(argstr, newstringindent)
if err != nil {
panic("Bad input to TextToCas " + origin)
}
retargs = append(retargs, retarg)
}
return Unknownfunction(funcstring, retargs), nil
}
}
}
stillsignsininstring := false
bracketoffset := 0
for _, charbyte := range instring {
char := string(charbyte)
if char == "{" {
bracketoffset++
} else if char == "}" {
bracketoffset--
}
if bracketoffset == 0 &&
(char == "+" || char == "*" || char == "/" || char == "^") {
stillsignsininstring = true
break
}
}
if stillsignsininstring {
brackets := strmans.StrToBracketpairs(instring)
if string(instring[0]) == "-" &&
len(brackets) > 0 && brackets[0][0] == 1 && brackets[0][1] == len(instring)-1 {
dbg.Debug(10, recs+origin+"becomes negative "+instring[1:len(instring)-1])
partret, err := textToCasReal(instring[1:len(instring)-1], newstringindent)
if err != nil {
panic("Bad input to TextToCas: " + origin)
}
return Product(Number("-1"), partret), nil
}
panic("BAD EXPRESSION")
}
if string(instring[0]) == "-" {
dbg.Debug(10, recs+origin+" becomes negative "+instring[1:])
dbg.Debug(10, recs+" "+"-1")
partret, err := textToCasReal(instring[1:], newstringindent)
if err != nil {
panic("Bad input to TextToCas: " + origin)
}
return Product(Number("-1"), partret), nil
} else {
//NUMBER INSTANCE
dbg.Debug(10, recs+origin)
return Number(instring), nil
}
}
// Simplifies an input expression (instance) with respect to the focus
//
// Uses the Substitutiondict
func (instance Express) AlgebraicSimp(focus Express, approx bool) Express {
dbg.Debug(10, "starting simplify:"+instance.Tostring()+" "+instance.Etype)
instancecopy := instance.Makesubs()
newinstance := instancecopy
var last Express
dbg.Debug(10, "starting simplify:"+newinstance.Tostring()+" "+instance.Etype)
for {
last = newinstance
var simptry Express
var err error
newinstance = Treesimplify(newinstance)
newinstance = newinstance.Evalsimplify(approx)
dbg.Debug(10, "starting simplify:"+newinstance.Tostring()+" "+instance.Etype)
// Simplify all parts
switch newinstance.Etype {
case "Number":
return newinstance
case "Sine":
newinstance = Sine(newinstance.Arg.AlgebraicSimp(focus, approx))
case "Cosine":
newinstance = Cosine(newinstance.Arg.AlgebraicSimp(focus, approx))
case "Tangent":
newinstance = Tangent(newinstance.Arg.AlgebraicSimp(focus, approx))
case "Arcsine":
newinstance = Arcsine(newinstance.Arg.AlgebraicSimp(focus, approx))
case "Arccosine":
newinstance = Arccosine(newinstance.Arg.AlgebraicSimp(focus, approx))
case "Arctangent":
newinstance = Arctangent(newinstance.Arg.AlgebraicSimp(focus, approx))
case "Natlog":
newinstance = Natlog(newinstance.Arg.AlgebraicSimp(focus, approx))
case "Comlog":
newinstance = Comlog(newinstance.Arg.AlgebraicSimp(focus, approx))
case "Squareroot":
newinstance = Squareroot(newinstance.Arg.AlgebraicSimp(focus, approx))
case "Addition":
var newnewinstanceadds []Express
for _, addend := range *newinstance.Addends {
newnewinstanceadds = append(newnewinstanceadds,
addend.AlgebraicSimp(focus, approx))
}
newinstance = Addition(newnewinstanceadds...)
case "Product":
var newnewinstancefacs []Express
for _, fac := range *newinstance.Factors {
newnewinstancefacs = append(newnewinstancefacs,
fac.AlgebraicSimp(focus, approx))
}
newinstance = Product(newnewinstancefacs...)
case "Unknownfunction":
var newnewargs []Express
for _, arg := range *newinstance.Argarr {
newnewargs = append(newnewargs, arg.AlgebraicSimp(focus, approx))
}
newinstance = Unknownfunction(newinstance.Funcstr, newnewargs)
case "Fraction":
newinstance = Fraction(
newinstance.Numerator.AlgebraicSimp(focus, approx),
newinstance.Denominator.AlgebraicSimp(focus, approx))
case "Power":
newinstance = Power(
newinstance.Root.AlgebraicSimp(focus, approx),
newinstance.Exponent.AlgebraicSimp(focus, approx))
}
newinstance = Treesimplify(newinstance)
newinstance = newinstance.Evalsimplify(approx)
switch newinstance.Etype {
case "Number":
return newinstance
case "Addition":
simptry, err = newinstance.Antidistributive(focus)
if err == nil {
dbg.Debug(10, "Simplifying from "+newinstance.Tostring()+
" to "+simptry.Tostring()+" with the "+"Antidistributive"+
" function")
newinstance = simptry
continue
}
//simptry, err = newinstance.Associativeadd()
//if err == nil {
// newinstance = simptry
// continue
//}
case "Product":
simptry, err = newinstance.Ntimes0()
if err == nil {
dbg.Debug(10, "Simplifying from "+newinstance.Tostring()+
" to "+simptry.Tostring()+" with the "+"Ntimes0"+
" function")
newinstance = simptry
continue
}
simptry, err = newinstance.AssociativeProd()
if err == nil {
dbg.Debug(10, "Simplifying from "+newinstance.Tostring()+
" to "+simptry.Tostring()+" with the "+"AssocitaiveProd"+
" function")
newinstance = simptry
continue
}
simptry, err = newinstance.Sameroot(focus, false)
if err == nil {
dbg.Debug(10, "Simplifying from "+newinstance.Tostring()+
" to "+simptry.Tostring()+" with the "+"Sameroot"+
" function")
newinstance = simptry
continue
}
simptry, err = newinstance.Sameexponent(focus)
if err == nil {
dbg.Debug(10, "Simplifying from "+newinstance.Tostring()+
" to "+simptry.Tostring()+" with the "+"Sameexponent"+
" function")
newinstance = simptry
continue
}
simptry, err = newinstance.Distributive(focus, false)
if err == nil {
dbg.Debug(10, "Simplifying from "+newinstance.Tostring()+
" to "+simptry.Tostring()+" with the "+"Distributive"+
" function")
newinstance = simptry
continue
}
simptry, err = newinstance.Fractionasfactor()
if err == nil {
dbg.Debug(10, "Simplifying from "+newinstance.Tostring()+
" to "+simptry.Tostring()+" with the "+"Fractionasfactor"+
" function")
newinstance = simptry
continue
}
case "Fraction":
simptry, err = newinstance.Samerootofexponentfactors(focus)
if err == nil {
dbg.Debug(10, "Simplifying from "+newinstance.Tostring()+
" to "+simptry.Tostring()+" with the "+"Samerootofexponentfactor"+
" function")
newinstance = simptry
continue
}
simptry, err = newinstance.Ndiv1()
if err == nil {
dbg.Debug(10, "Simplifying from "+newinstance.Tostring()+
" to "+simptry.Tostring()+" with the "+"Ndiv1"+
" function")
newinstance = simptry
continue
}
simptry, err = newinstance.Antisameexponentfrac(focus)
if err == nil {
dbg.Debug(10, "Simplifying from "+newinstance.Tostring()+
" to "+simptry.Tostring()+" with the "+"Antisameexponentfrac"+
" function")
newinstance = simptry
continue
}
simptry, err = newinstance.Shortfract()
if err == nil {
dbg.Debug(10, "Simplifying from "+newinstance.Tostring()+
" to "+simptry.Tostring()+" with the "+"Shortfract"+
" function")
newinstance = simptry
continue
}
simptry, err = newinstance.Cancelfactors()
if err == nil {
dbg.Debug(10, "Simplifying from "+newinstance.Tostring()+
" to "+simptry.Tostring()+" with the "+"Cancelfactors"+
" function")
newinstance = simptry
continue
}
simptry, err = newinstance.Samerootofexponent(focus)
if err == nil {
dbg.Debug(10, "Simplifying from "+newinstance.Tostring()+
" to "+simptry.Tostring()+" with the "+"Samerootofexponent"+
" function")
newinstance = simptry
continue
}
simptry, err = newinstance.Movefactordownifalone()
if err == nil {
dbg.Debug(10, "Simplifying from "+newinstance.Tostring()+
" to "+simptry.Tostring()+" with the "+"Movefactordownifalone"+
" function")
newinstance = simptry
continue
}
simptry, err = newinstance.Fractionindenom()
if err == nil {
dbg.Debug(10, "Simplifying from "+newinstance.Tostring()+
" to "+simptry.Tostring()+" with the "+"Fractionindenom"+
" function")
newinstance = simptry
continue
}
simptry, err = newinstance.Fractioninnum()
if err == nil {
dbg.Debug(10, "Simplifying from "+newinstance.Tostring()+
" to "+simptry.Tostring()+" with the "+"Fractioninnum"+
" function")
newinstance = simptry
continue
}
simptry, err = newinstance.Shortenevaluables()
if err == nil {
dbg.Debug(10, "Simplifying from "+newinstance.Tostring()+
" to "+simptry.Tostring()+" with the "+"Shortenevaluables"+
" function")
newinstance = simptry
continue
}
case "Power":
simptry, err = newinstance.Ntothe0()
if err == nil {
dbg.Debug(10, "Simplifying from "+newinstance.Tostring()+
" to "+simptry.Tostring()+" with the "+"Ntothe0"+
" function")
newinstance = simptry
continue
}
simptry, err = newinstance.Ntothe1()
if err == nil {
dbg.Debug(10, "Simplifying from "+newinstance.Tostring()+
" to "+simptry.Tostring()+" with the "+"Ntothe1"+
" function")
newinstance = simptry
continue
}
simptry, err = newinstance.Sameexponentfrac(focus)
if err == nil {
dbg.Debug(10, "Simplifying from "+newinstance.Tostring()+
" to "+simptry.Tostring()+" with the "+"Sameexponentfrac"+
" function")
newinstance = simptry
continue
}
simptry, err = newinstance.Antisameroot(focus)
if err == nil {
dbg.Debug(10, "Simplifying from "+newinstance.Tostring()+
" to "+simptry.Tostring()+" with the "+"Antisameroot"+
" function")
newinstance = simptry
continue
}
simptry, err = newinstance.Antisameexponent(focus)
if err == nil {
dbg.Debug(10, "Simplifying from "+newinstance.Tostring()+
" to "+simptry.Tostring()+" with the "+"Antisameexponent"+
" function")
newinstance = simptry
continue
}
simptry, err = newinstance.Powerasroot()
if err == nil {
dbg.Debug(10, "Simplifying from "+newinstance.Tostring()+
" to "+simptry.Tostring()+" with the "+"Powerasroot"+
" function")
newinstance = simptry
continue
}
}
if Expeq(last, newinstance) {
break
}
}
return newinstance
}