math/big: remove []byte/string conversions

This removes some of the []byte/string conversions currently
existing in the (un)marshaling methods of Int and Rat.

For Int we introduce a new function (*Int).setFromScanner() essentially
implementing the SetString method being given an io.ByteScanner instead
of a string. So we can handle the string case in (*Int).SetString with
a *strings.Reader and the []byte case in (*Int).UnmarshalText() with a
*bytes.Reader now avoiding the []byte/string conversion here.

For Rat we introduce a new function (*Rat).marshal() essentially
implementing the String method outputting []byte instead of string.
Using this new function and the same formatting rules as in
(*Rat).RatString we can implement (*Rat).MarshalText() without
the []byte/string conversion it used to have.

Change-Id: Ic5ef246c1582c428a40f214b95a16671ef0a06d9
Reviewed-on: https://go-review.googlesource.com/65950
Reviewed-by: Robert Griesemer <gri@golang.org>
Run-TryBot: Robert Griesemer <gri@golang.org>
TryBot-Result: Gobot Gobot <gobot@golang.org>
diff --git a/src/math/big/int.go b/src/math/big/int.go
index 63a750c..000eab5 100644
--- a/src/math/big/int.go
+++ b/src/math/big/int.go
@@ -390,15 +390,20 @@
 // ``0b'' or ``0B'' prefix selects base 2. Otherwise the selected base is 10.
 //
 func (z *Int) SetString(s string, base int) (*Int, bool) {
-	r := strings.NewReader(s)
+	return z.setFromScanner(strings.NewReader(s), base)
+}
+
+// setFromScanner implements SetString given an io.BytesScanner.
+// For documentation see comments of SetString.
+func (z *Int) setFromScanner(r io.ByteScanner, base int) (*Int, bool) {
 	if _, _, err := z.scan(r, base); err != nil {
 		return nil, false
 	}
-	// entire string must have been consumed
+	// entire content must have been consumed
 	if _, err := r.ReadByte(); err != io.EOF {
 		return nil, false
 	}
-	return z, true // err == io.EOF => scan consumed all of s
+	return z, true // err == io.EOF => scan consumed all content of r
 }
 
 // SetBytes interprets buf as the bytes of a big-endian unsigned
diff --git a/src/math/big/intmarsh.go b/src/math/big/intmarsh.go
index ee1e414..c1422e2 100644
--- a/src/math/big/intmarsh.go
+++ b/src/math/big/intmarsh.go
@@ -6,7 +6,10 @@
 
 package big
 
-import "fmt"
+import (
+	"bytes"
+	"fmt"
+)
 
 // Gob codec version. Permits backward-compatible changes to the encoding.
 const intGobVersion byte = 1
@@ -52,8 +55,7 @@
 
 // UnmarshalText implements the encoding.TextUnmarshaler interface.
 func (z *Int) UnmarshalText(text []byte) error {
-	// TODO(gri): get rid of the []byte/string conversion
-	if _, ok := z.SetString(string(text), 0); !ok {
+	if _, ok := z.setFromScanner(bytes.NewReader(text), 0); !ok {
 		return fmt.Errorf("math/big: cannot unmarshal %q into a *big.Int", text)
 	}
 	return nil
diff --git a/src/math/big/ratconv.go b/src/math/big/ratconv.go
index 3b43b19..7aed289 100644
--- a/src/math/big/ratconv.go
+++ b/src/math/big/ratconv.go
@@ -202,6 +202,11 @@
 
 // String returns a string representation of x in the form "a/b" (even if b == 1).
 func (x *Rat) String() string {
+	return string(x.marshal())
+}
+
+// marshal implements String returning a slice of bytes
+func (x *Rat) marshal() []byte {
 	var buf []byte
 	buf = x.a.Append(buf, 10)
 	buf = append(buf, '/')
@@ -210,7 +215,7 @@
 	} else {
 		buf = append(buf, '1')
 	}
-	return string(buf)
+	return buf
 }
 
 // RatString returns a string representation of x in the form "a/b" if b != 1,
diff --git a/src/math/big/ratmarsh.go b/src/math/big/ratmarsh.go
index b82e8d4..fbc7b60 100644
--- a/src/math/big/ratmarsh.go
+++ b/src/math/big/ratmarsh.go
@@ -59,8 +59,10 @@
 
 // MarshalText implements the encoding.TextMarshaler interface.
 func (x *Rat) MarshalText() (text []byte, err error) {
-	// TODO(gri): get rid of the []byte/string conversion
-	return []byte(x.RatString()), nil
+	if x.IsInt() {
+		return x.a.MarshalText()
+	}
+	return x.marshal(), nil
 }
 
 // UnmarshalText implements the encoding.TextUnmarshaler interface.