On 2014/06/03 07:01:45, Yang wrote:
https://codereview.chromium.org/303753002/diff/40001/src/math.js
File src/math.js (right):

https://codereview.chromium.org/303753002/diff/40001/src/math.js#newcode262
src/math.js:262: }
On 2014/06/02 17:26:11, Raymond Toy wrote:
> As you mentioned via email, you've removed the 3rd iteration. This is really
> needed if you want to be able to reduce multiples of pi/2 accurately.

That's true. However, the reduction step is not exposed as a library function.
 From what I have seen, the third step seems to only affect y1. With a y0
really
close to y1, it does not change the result of sine or cosine. This is also why
I
was asking for a test case where removing this third step would make a
difference.

I don't understand what you mean by "y0 really close to y1".  What are you
saying?


tan(Math.PI*45/2) requires the 3rd iteration. ieee754_rem_pio2 returns
[45, -9.790984586812941e-16, -6.820314736619894e-32]

If you ignore the y1 result, we have
kernel_tan(-9.790984586812941e-16, 0e0, -1) -> 1021347742030824.2

If you include the y1 result:
kernel_tan(-9.790984586812941e-16,-6.820314736619894e-32, -1) ->
1021347742030824.1



https://codereview.chromium.org/303753002/

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