From 0cf75356a557e94f7919521ff9ad53e4b733ac20 Mon Sep 17 00:00:00 2001 From: glank Date: Sat, 21 Mar 2020 03:09:42 +0100 Subject: code_800FCE80 OK --- src/code/code_800FCE80.c | 229 +++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 229 insertions(+) create mode 100644 src/code/code_800FCE80.c (limited to 'src/code/code_800FCE80.c') diff --git a/src/code/code_800FCE80.c b/src/code/code_800FCE80.c new file mode 100644 index 000000000..60afd1dfb --- /dev/null +++ b/src/code/code_800FCE80.c @@ -0,0 +1,229 @@ +#include +#include +#include + +s32 use_cfrac; + +f32 Math_tanf(f32 x) +{ + f32 sin = sinf(x); + f32 cos = cosf(x); + return sin / cos; +} + +f32 Math_floorf(f32 x) +{ + return floorf(x); +} + +f32 Math_ceilf(f32 x) +{ + return ceilf(x); +} + +f32 Math_roundf(f32 x) +{ + return roundf(x); +} + +f32 Math_truncf(f32 x) +{ + return truncf(x); +} + +f32 Math_nearbyintf(f32 x) +{ + return nearbyintf(x); +} + +/* Arctangent approximation using a Taylor series (one quadrant) */ +f32 Math_atanf_taylor_q(f32 x) +{ + static const f32 coeffs[] = + { + -1.f / 3, + +1.f / 5, + -1.f / 7, + +1.f / 9, + -1.f / 11, + +1.f / 13, + -1.f / 15, + +1.f / 17, + 0.f, + }; + + f32 poly = x; + f32 sq = SQ(x); + f32 exp = x * sq; + const f32 *c = coeffs; + f32 term; + + while (1) + { + term = *c++ * exp; + if (poly + term == poly) + { + break; + } + poly = poly + term; + exp = exp * sq; + } + + return poly; +} + +/* Ditto for two quadrants */ +f32 Math_atanf_taylor(f32 x) +{ + f32 t; + f32 q; + + if (x > 0.f) + { + t = x; + } + else if (x < 0.f) + { + t = -x; + } + else if (x == 0.f) + { + return 0.f; + } + else + { + return qNaN0x10000; + } + + if (t <= M_SQRT2 - 1.f) + { + return Math_atanf_taylor_q(x); + } + + if (t >= M_SQRT2 + 1.f) + { + q = M_PI / 2 - Math_atanf_taylor_q(1.f / t); + } + else + { + q = M_PI / 4 - Math_atanf_taylor_q((1.f - t) / (1.f + t)); + } + + if (x > 0.f) + { + return q; + } + else + { + return -q; + } +} + +/* Arctangent approximation using a continued fraction */ +f32 Math_atanf_cfrac(f32 x) +{ + s32 sector; + f32 z; + f32 conv; + f32 sq; + s32 i; + + if (x >= -1.f && x <= 1.f) + { + sector = 0; + } + else if (x > 1.f) + { + sector = 1; + x = 1.f / x; + } + else if (x < -1.f) + { + sector = -1; + x = 1.f / x; + } + else + { + return qNaN0x10000; + } + + sq = SQ(x); + conv = 0.f; + z = 8.f; + for (i = 8; i != 0; i--) + { + conv = SQ(z) * sq / (2.f * z + 1.f + conv); + z -= 1.f; + } + conv = x / (1.f + conv); + + if (sector == 0) + { + return conv; + } + else if (sector > 0) + { + return M_PI / 2 - conv; + } + else + { + return -M_PI / 2 - conv; + } +} + +f32 Math_atanf(f32 x) +{ + if (use_cfrac == 0) + { + return Math_atanf_taylor(x); + } + else + { + return Math_atanf_cfrac(x); + } +} + +f32 Math_atan2f(f32 y, f32 x) +{ + if (x == 0.f) + { + if (y == 0.f) + { + return 0.f; + } + else if (y > 0.f) + { + return M_PI / 2; + } + else if (y < 0.f) + { + return -M_PI / 2; + } + else + { + return qNaN0x10000; + } + } + else if (x >= 0.f) + { + return Math_atanf(y / x); + } + else if (y < 0.f) + { + return Math_atanf(y / x) - M_PI; + } + else + { + return M_PI - Math_atanf(-(y / x)); + } +} + +f32 Math_asinf(f32 x) +{ + return Math_atan2f(x, sqrtf(1.f - SQ(x))); +} + +f32 Math_acosf(f32 x) +{ + return M_PI / 2 - Math_asinf(x); +} -- cgit v1.2.3