Write exact results past the range of a double (closes #16)
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An exact result outside the normal range of a double, such as 2^1200, 10^400 or 2^-1200, was refused because format wrote every result through float64. Such a result is now written from its exact value, rounded to 17 significant digits with trailing zeros dropped, through a big.Float precise enough to round as the exact value would. Results inside the range are written as before, and a power computed in float64 must still be a normal double. The tests check the written text of these results, the refusals just past the 4096-bit limit, and the time taken to write the largest and smallest numbers under it. Model: opus-5-5
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@@ -18,6 +18,7 @@ func TestReply(t *testing.T) {
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"5 * 5/2": "12.5",
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"2^10": "1024",
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"7 % 3": "1",
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"2^1200": "1.7218479456385751e+361",
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} {
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if got := bot.Reply(in); got != want {
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t.Errorf("Reply(%q) = %q, want %q", in, got, want)
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@@ -27,7 +28,7 @@ func TestReply(t *testing.T) {
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for in, want := range map[string]string{
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"hello": "I only understand arithmetic",
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"1 / 0": "I cannot divide by zero.",
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"1e400": "That needs a number too large or too small for me.",
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"1e1300": "That needs a number too large or too small for me.",
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"1e-1300": "That needs a number too large or too small for me.",
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"(-8)^0.5": "A negative number to a fractional power has no real",
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strings.Repeat("1+", calc.MaxInputLength) + "1": "That is too long for me",
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