Task: Balanced ternary




Go: package main

import (
    "fmt"
    "strings"
)




type bt []int8







func btString(s string) (*bt, bool) {
    s = strings.TrimLeft(s, "0")
    b := make(bt, len(s))
    for i, last := 0, len(s)-1; i < len(s); i++ {
        switch s[i] {
        case '-':
            b[last-i] = -1
        case '0':
            b[last-i] = 0
        case '+':
            b[last-i] = 1
        default:
            return nil, false
        }
    }
    return &b, true
}



func (b bt) String() string {
    if len(b) == 0 {
        return "0"
    }
    last := len(b) - 1
    r := make([]byte, len(b))
    for i, d := range b {
        r[last-i] = "-0+"[d+1]
    }
    return string(r)
}





func btInt(i int) *bt {
    if i == 0 {
        return new(bt)
    }
    var b bt
    var btDigit func(int)
    btDigit = func(digit int) {
        m := int8(i % 3)
        i /= 3
        switch m {
        case 2:
            m = -1
            i++
        case -2:
            m = 1
            i--
        }
        if i == 0 {
            b = make(bt, digit+1)
        } else {
            btDigit(digit + 1)
        }
        b[digit] = m
    }
    btDigit(0)
    return &b
}





func (b bt) Int() (r int, ok bool) {
    pt := 1
    for _, d := range b {
        dp := int(d) * pt
        neg := r < 0
        r += dp
        if neg {
            if r > dp {
                return 0, false
            }
        } else {
            if r < dp {
                return 0, false
            }
        }
        pt *= 3
    }
    return r, true
}


    
func (z *bt) Neg(b *bt) *bt {
    if z != b {
        if cap(*z) < len(*b) {
            *z = make(bt, len(*b))
        } else {
            *z = (*z)[:len(*b)]
        } 
    }
    for i, d := range *b {
        (*z)[i] = -d
    }
    return z 
}

func (z *bt) Add(a, b *bt) *bt {
    if len(*a) < len(*b) {
        a, b = b, a
    }
    r := *z
    r = r[:cap(r)]
    var carry int8 
    for i, da := range *a {
        if i == len(r) {
            n := make(bt, len(*a)+4)
            copy(n, r)
            r = n
        }
        sum := da + carry
        if i < len(*b) {
            sum += (*b)[i]
        }
        carry = sum / 3
        sum %= 3
        switch {
        case sum > 1:
            sum -= 3
            carry++
        case sum < -1:
            sum += 3
            carry--
        } 
        r[i] = sum 
    }
    last := len(*a)
    if carry != 0 {
        if len(r) == last {
            n := make(bt, last+4)
            copy(n, r)
            r = n
        }
        r[last] = carry
        *z = r[:last+1]
        return z
    }
    for {
        if last == 0 {
            *z = nil
            break
        }
        last--
        if r[last] != 0 {
            *z = r[:last+1]
            break
        }
    }
    return z
}

func (z *bt) Mul(a, b *bt) *bt {
    if len(*a) < len(*b) {
        a, b = b, a
    }
    var na bt
    for _, d := range *b {
        if d == -1 {
            na.Neg(a)
            break
        }
    }
    r := make(bt, len(*a)+len(*b))
    for i := len(*b) - 1; i >= 0; i-- {
        switch (*b)[i] {
        case 1:
            p := r[i:]
            p.Add(&p, a)
        case -1:
            p := r[i:]
            p.Add(&p, &na)
        }
    }
    i := len(r)
    for i > 0 && r[i-1] == 0 {
        i--
    }
    *z = r[:i]
    return z
}

func main() {
    a, _ := btString("+-0++0+")
    b := btInt(-436)
    c, _ := btString("+-++-")
    show("a:", a) 
    show("b:", b)
    show("c:", c)
    show("a(b-c):", a.Mul(a, b.Add(b, c.Neg(c))))
}   

func show(label string, b *bt) {
    fmt.Printf("%7s %12v ", label, b)
    if i, ok := b.Int(); ok {
        fmt.Printf("%7d\n", i)
    } else {
        fmt.Println("int overflow")
    }
}








Ada: with Ada.Finalization;

package BT is
   
   type Balanced_Ternary is private;
   
   
   function To_Balanced_Ternary (Num : Integer) return Balanced_Ternary;
   function To_Balanced_Ternary (Str : String)  return Balanced_Ternary;
   function To_Integer (Num : Balanced_Ternary)  return Integer;
   function To_string (Num : Balanced_Ternary)   return String;
     
   
   
   function "-" (Left : in Balanced_Ternary)
		return Balanced_Ternary;
   
   
   function "-" (Left, Right : in Balanced_Ternary)
		return Balanced_Ternary;
   
   
   function "+" (Left, Right : in Balanced_Ternary)
		return Balanced_Ternary;
   
   function "*" (Left, Right : in Balanced_Ternary)
		return Balanced_Ternary;

private   
   
   
   type Trit is range -1..1;
   type Trit_Array is array (Positive range <>) of Trit;
   pragma Pack(Trit_Array);
   
   type Trit_Access is access Trit_Array;
   
   type Balanced_Ternary is new Ada.Finalization.Controlled
     with record
	Ref : Trit_access;
   end record;
   
   procedure Initialize (Object : in out Balanced_Ternary);
   procedure Adjust     (Object : in out Balanced_Ternary);
   procedure Finalize   (Object : in out Balanced_Ternary);
   
end BT;