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Intel 8087 combined CORDIC and polynomial methods for fast tangent

righto.com 41 min read Editor score 8/10

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Reverse-engineering the 8087 reveals that its tangent instruction combined CORDIC with polynomial approximation, computing tangent in 90 microseconds versus 13,000 on the 8086. It is a detailed example of how algorithm and hardware choices shape performance.

What
The Intel 8087’s FPTAN instruction combined CORDIC with a polynomial approximation to compute tangent.
How
Reverse-engineering the chip’s circuitry and microcode revealed a combination intended to deliver both high accuracy and performance.
Why it matters
The design shows how combining algorithms and specialized hardware can accelerate numerical functions.

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