Unverified50% confidenceCautionExact time
Using double to accelerate 32-bit integer division is relatively safe, whereas 64-bit integer division (maximum value approximately 9.2×10^18) exceeds the range that double can represent exactly and requires caution.
1
Sources
50%
Confidence
Long-term
Relevance
8/19/2026
First Seen
Sources
整数除法转浮点除法：反直觉的CPU性能优化技巧详解
Related Claims
UnverifiedDouble-precision floating-point (double, 64-bit) can precisely represent integers within the range of ±2^53, but still cannot cover the full range of 64-bit integer division.76% similarUnverifiedFP32 uses 32 binary bits to represent a number (1 sign bit, 8 exponent bits, 23 mantissa bits) and can accurately represent approximately 7 significant decimal digits.67% similarUnverified32位有符号整数最大值为2,147,483,64763% similarUnverifiedGrisu uses 64-bit or 128-bit integer arithmetic to simulate high-precision computation, avoiding the costly bignum operations of traditional methods, and the Grisu2 variant can cover approximately 99.5% of input cases.63% similarUnverifiedFor double-precision floating-point numbers, one ULP near the value 1.0 is approximately 2^-52 ≈ 2.22×10^-16.62% similar
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