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	Improved float serialization when -fsingle-precision-constant is used
				
					
				
			This commit is contained in:
		| @@ -5,6 +5,7 @@ HEAD | ||||
| ---- | ||||
|  | ||||
| * Disabled lazy number deserialization (issue #772) | ||||
| * Improved float serialization when `-fsingle-precision-constant` is used | ||||
|  | ||||
| > ### BREAKING CHANGES | ||||
| > | ||||
|   | ||||
| @@ -44,28 +44,46 @@ struct FloatTraits<T, 8 /*64bits*/> { | ||||
|  | ||||
|   static T positiveBinaryPowerOfTen(int index) { | ||||
|     static T factors[] = { | ||||
|         1e1, 1e2, 1e4, 1e8, 1e16, 1e32, | ||||
|         // workaround to support platforms with single precision literals | ||||
|         forge(0x4D384F03, 0xE93FF9F5), forge(0x5A827748, 0xF9301D32), | ||||
|         forge(0x75154FDD, 0x7F73BF3C)}; | ||||
|         1e1, | ||||
|         1e2, | ||||
|         1e4, | ||||
|         1e8, | ||||
|         1e16, | ||||
|         forge(0x4693B8B5, 0xB5056E17),  // 1e32 | ||||
|         forge(0x4D384F03, 0xE93FF9F5),  // 1e64 | ||||
|         forge(0x5A827748, 0xF9301D32),  // 1e128 | ||||
|         forge(0x75154FDD, 0x7F73BF3C)   // 1e256 | ||||
|     }; | ||||
|     return factors[index]; | ||||
|   } | ||||
|  | ||||
|   static T negativeBinaryPowerOfTen(int index) { | ||||
|     static T factors[] = { | ||||
|         1e-1, 1e-2, 1e-4, 1e-8, 1e-16, 1e-32, | ||||
|         // workaround to support platforms with single precision literals | ||||
|         forge(0x32A50FFD, 0x44F4A73D), forge(0x255BBA08, 0xCF8C979D), | ||||
|         forge(0x0AC80628, 0x64AC6F43)}; | ||||
|         forge(0x3FB99999, 0x9999999A),  // 1e-1 | ||||
|         forge(0x3F847AE1, 0x47AE147B),  // 1e-2 | ||||
|         forge(0x3F1A36E2, 0xEB1C432D),  // 1e-4 | ||||
|         forge(0x3E45798E, 0xE2308C3A),  // 1e-8 | ||||
|         forge(0x3C9CD2B2, 0x97D889BC),  // 1e-16 | ||||
|         forge(0x3949F623, 0xD5A8A733),  // 1e-32 | ||||
|         forge(0x32A50FFD, 0x44F4A73D),  // 1e-64 | ||||
|         forge(0x255BBA08, 0xCF8C979D),  // 1e-128 | ||||
|         forge(0x0AC80628, 0x64AC6F43)   // 1e-256 | ||||
|     }; | ||||
|     return factors[index]; | ||||
|   } | ||||
|  | ||||
|   static T negativeBinaryPowerOfTenPlusOne(int index) { | ||||
|     static T factors[] = { | ||||
|         1e0, 1e-1, 1e-3, 1e-7, 1e-15, 1e-31, | ||||
|         // workaround to support platforms with single precision literals | ||||
|         forge(0x32DA53FC, 0x9631D10D), forge(0x25915445, 0x81B7DEC2), | ||||
|         forge(0x0AFE07B2, 0x7DD78B14)}; | ||||
|         1e0, | ||||
|         forge(0x3FB99999, 0x9999999A),  // 1e-1 | ||||
|         forge(0x3F50624D, 0xD2F1A9FC),  // 1e-3 | ||||
|         forge(0x3E7AD7F2, 0x9ABCAF48),  // 1e-7 | ||||
|         forge(0x3CD203AF, 0x9EE75616),  // 1e-15 | ||||
|         forge(0x398039D6, 0x65896880),  // 1e-31 | ||||
|         forge(0x32DA53FC, 0x9631D10D),  // 1e-63 | ||||
|         forge(0x25915445, 0x81B7DEC2),  // 1e-127 | ||||
|         forge(0x0AFE07B2, 0x7DD78B14)   // 1e-255 | ||||
|     }; | ||||
|     return factors[index]; | ||||
|   } | ||||
|  | ||||
| @@ -77,6 +95,9 @@ struct FloatTraits<T, 8 /*64bits*/> { | ||||
|     return forge(0x7ff00000, 0x00000000); | ||||
|   } | ||||
|  | ||||
|   // constructs a double floating point values from its binary representation | ||||
|   // we use this function to workaround platforms with single precision literals | ||||
|   // (for example, when -fsingle-precision-constant is passed to GCC) | ||||
|   static T forge(uint32_t msb, uint32_t lsb) { | ||||
|     union { | ||||
|       uint64_t integerBits; | ||||
|   | ||||
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