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Apparatus for computing exponential and trigonometric functions
Apparatus for computing exponential and trigonometric functions
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机译:用于计算指数函数和三角函数的设备
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摘要
A 64-bit precision digital circuit for computing the exponential function and a related 64-bit precision digital circuit for computing sine and cosine, each circuit comprising a master circuit and a slave circuit. The master circuit computes the remainders {tilde over (x)}i for every “logical” iteration i using fast, low-precision circuit, thereby accumulating temporary errors. Only at the end of every 8 i's, which marks the end of a “physical” iteration, is a complete and fast correction to the accumulated errors performed. The slave circuit computes quantities called the yi's, which will eventually converge to the desired output.
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机译:用于计算指数函数的64位精度数字电路和用于计算正弦和余弦的相关64位精度数字电路,每个电路包括主电路和从电路。主电路为每个“逻辑”计算余数{sub> i Sub>。使用快速,低精度的电路进行迭代i,从而积累了临时错误。仅在每8个i结束时,这标志着“物理”结束。迭代是对执行的累积错误的完整而快速的校正。从电路计算称为y i Sub>的数量,这些数量最终将收敛到所需的输出。
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