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a51c11701f
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8458c74ee1
2 changed files with 13 additions and 5 deletions
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@ -1,9 +1,6 @@
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#ifndef _ARCH_UNISTD_ILP_H
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#define _ARCH_UNISTD_ILP_H
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/*
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32-bit ISA, 32-bit int, long, pointer, and offset_t
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*/
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#define _POSIX_V6_ILP32_OFF32 1
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#define _POSIX_V7_ILP32_OFF32 1
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15
math/cos.c
15
math/cos.c
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@ -10,13 +10,14 @@
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The taylor poly is centered at pi, with a radius of
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convergence of no less than pi, making it roughly accurate
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between 0 and 2 * pi. The polynomial is up to x^10, which I've
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confirmed as being accurate being 0 and 2 * pi.
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between 0 and 2 * pi. The polynomial is up to x^20, so it
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should be pretty accurate within that range.
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*/
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double cos(double x) {
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double pi = M_PI; /* Really, me?! -Kat */
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int temp;
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double deg_2, deg_4, deg_6, deg_8, deg_10;
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double deg_12, deg_14, deg_16, deg_18, deg_20;
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double cosine;
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if(x < 0) x = -x;
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@ -43,6 +44,11 @@ double cos(double x) {
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deg_6 = deg_4 * deg_2 * 2 / (6 * 5);
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deg_8 = deg_6 * deg_2 * 2 / (8 * 7);
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deg_10 = deg_8 * deg_2 * 2 / (10 * 9);
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deg_12 = deg_10 * deg_2 * 2 / (12 * 11);
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deg_14 = deg_12 * deg_2 * 2 / (14 * 13);
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deg_16 = deg_14 * deg_2 * 2 / (16 * 15);
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deg_18 = deg_16 * deg_2 * 2 / (18 * 17);
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deg_20 = deg_18 * deg_2 * 2 / (20 * 19);
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/*
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In case you aren't familiar with the theory of a Taylor
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@ -73,8 +79,13 @@ double cos(double x) {
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Plus, since we're taking advantage of cosine being an
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even function, we don't need any terms less than 0, so
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why *center* at zero and include negatives?
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(Of course, I've not done the radius of convergence work
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for this to find out how many degrees we need to get a
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radius of convergence of pi, so I may have used too many
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terms, anyways. Not that I can't reduce that...)
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*/
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cosine = -1 + deg_2 - deg_4 + deg_6 - deg_8 + deg_10;
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cosine = cosine - deg_12 + deg_14 - deg_16 + deg_18 + deg_20;
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return cosine;
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}
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