| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2018: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2016: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Outline of Final Research Achievements |
We performed vectorization using SIMD instructions in the hierarchy of multiple-precision integer arithmetic. Specifically, we evaluated the performance by speeding up unsigned 64-bit integer division for multiple dividend and divisor using SIMD instructions. Using this method, we proposed a fast calculation method of BBP type formula that calculates a specific digit of mathematical constants. In addition, vectorization with Intel AVX-512 instruction is performed by using reduced-radix representation in multiple-precision integer multiplication. We implemented modular arithmetic to speed up rational arithmetic in a rational arithmetic programming environment.
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