Leading spaces in a couple of lines instead of tabs cause those to be
misaligned (as seen on <https://golang.org/pkg/math/big/#Float.Parse>):

<<<
	number   = [ sign ] [ prefix ] mantissa [ exponent ] | infinity .
	sign     = "+" | "-" .
     prefix   = "0" ( "x" | "X" | "b" | "B" ) .
	mantissa = digits | digits "." [ digits ] | "." digits .
	exponent = ( "E" | "e" | "p" ) [ sign ] digits .
	digits   = digit { digit } .
	digit    = "0" ... "9" | "a" ... "z" | "A" ... "Z" .
     infinity = [ sign ] ( "inf" | "Inf" ) .
>>>

Replace the leading spaces with tabs so that those align well.

Change-Id: Ibba6cd53f340001bbd929067dc587feb071dc3bd
Reviewed-on: https://go-review.googlesource.com/31830
Reviewed-by: Brad Fitzpatrick <bradfitz@golang.org>

Implements Float.Scan which satisfies fmt.Scanner interface.
Also enforces docs' interface implementation claims with compile time
type assertions, that is:
+ Float always implements fmt.Formatter and fmt.Scanner
+ Int always implements fmt.Formatter and fmt.Scanner
+ Rat always implements fmt.Formatter
which will ensure that the API claims are strictly matched.

Also note that Float.Scan doesn't handle ±Inf.

Fixes #17391

Change-Id: I3d3dfbe7f602066975c7a7794fe25b4c645440ce
Reviewed-on: https://go-review.googlesource.com/30723
Reviewed-by: Robert Griesemer <gri@golang.org>

Also, document behavior explicitly for all SetString implementations.

Fixes #17001.

Change-Id: Iccc882b4bc7f8b61b6092f330e405c146a80dc98
Reviewed-on: https://go-review.googlesource.com/30472
Reviewed-by: Matthew Dempsky <mdempsky@google.com>

Change-Id: Icd06d99c42b8299fd931c7da821e1f418684d913
Reviewed-on: https://go-review.googlesource.com/19829
Reviewed-by: Brad Fitzpatrick <bradfitz@golang.org>
Run-TryBot: Brad Fitzpatrick <bradfitz@golang.org>
TryBot-Result: Gobot Gobot <gobot@golang.org>

Instead of computing the final adjustment factor as a power of 10,
it's more efficient to split 10**e into 2**e * 5**e . Powers of 2
are trivially added to the Float exponent, and powers of 5 are
smaller and thus faster to compute.

Also, use a table of uint64 values rather than float64 values for
initial power value. uint64 values appear to be faster to convert
to Floats (useful for small exponents).

Added two small benchmarks to confirm that there's no regresssion.

benchmark                         old ns/op     new ns/op     delta
BenchmarkParseFloatSmallExp-8     17543         16220         -7.54%
BenchmarkParseFloatLargeExp-8     60865         59996         -1.43%

Change-Id: I3efd7556b023316f86f334137a67fe0c6d52f8ef
Reviewed-on: https://go-review.googlesource.com/14782
Reviewed-by: Alan Donovan <adonovan@google.com>

Even though the umul/uquo functions expect two valid, finite big.Floats
arguments, SetString was calling them with possibly Inf values, which
resulted in bogus return values.

Replace umul and udiv calls with Mul and Quo calls to fix this. Also,
fix two wrong tests.

See relevant issue on issue tracker for a detailed explanation.

Fixes #11341

Change-Id: Ie35222763a57a2d712a5f5f7baec75cab8189a53
Reviewed-on: https://go-review.googlesource.com/13778
Reviewed-by: Robert Griesemer <gri@golang.org>

- (*Float).Scan conflicted with fmt.Scanner.Scan; it was also only used
  internally. Removed it, as well as the companion ScanFloat function.

- (*Float).Parse (and thus ParseFloat) can now also parse infinities.
  As a result, more code could be simplified.

- Fixed a bug in rounding (round may implicitly be called for infinite
  values). Found via existing test cases, after simplifying some code.

- Added more test cases.

Fixes issue #10938.

Change-Id: I1df97821654f034965ba8b82b272e52e6dc427f1
Reviewed-on: https://go-review.googlesource.com/10498
Reviewed-by: Alan Donovan <adonovan@google.com>

- factor out handling of sign
- rename bstring, pstring to fmtB, fmtP consistent with fmtE, fmtF
- move all float-to-string conversion functions into ftoa.go
- no functional changes

Change-Id: I5970ecb874dc9c387630b59147d90bda16a5d8e6
Reviewed-on: https://go-review.googlesource.com/10387
Reviewed-by: Alan Donovan <adonovan@google.com>

Float.Format supports the 'b' and 'p' format, both of which print
a binary ('p') exponent. The 'b' format always printed a sign ('+'
or '-') for the exponent; the 'p' format only printed a negative
sign for the exponent. This change makes the two consistent. It
also makes the 'p' format easier to read if the exponent is >= 0.

Also:
- Comments added elsewhere.

Change-Id: Ifd2e01bdafb3043345972ca22a90248d055bd29b
Reviewed-on: https://go-review.googlesource.com/10359
Reviewed-by: Alan Donovan <adonovan@google.com>

Change-Id: Ic2d9fdae43d18255c198ae62376212bdc89b75da
Reviewed-on: https://go-review.googlesource.com/8464
Reviewed-by: Alan Donovan <adonovan@google.com>