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Unified Diff: fusl/src/math/__tanl.c

Issue 1714623002: [fusl] clang-format fusl (Closed) Base URL: git@github.com:domokit/mojo.git@master
Patch Set: headers too Created 4 years, 10 months ago
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Index: fusl/src/math/__tanl.c
diff --git a/fusl/src/math/__tanl.c b/fusl/src/math/__tanl.c
index 54abc3daf1ad126306b363151aaa8dcca5928423..c6116b05fcf7f3efb6152b699ff2f9f07b35dc2c 100644
--- a/fusl/src/math/__tanl.c
+++ b/fusl/src/math/__tanl.c
@@ -25,29 +25,30 @@
* See __cosl.c for more details about the polynomial.
*/
static const long double
-T3 = 0.333333333333333333180L, /* 0xaaaaaaaaaaaaaaa5.0p-65 */
-T5 = 0.133333333333333372290L, /* 0x88888888888893c3.0p-66 */
-T7 = 0.0539682539682504975744L, /* 0xdd0dd0dd0dc13ba2.0p-68 */
-pio4 = 0.785398163397448309628L, /* 0xc90fdaa22168c235.0p-64 */
-pio4lo = -1.25413940316708300586e-20L; /* -0xece675d1fc8f8cbb.0p-130 */
-static const double
-T9 = 0.021869488536312216, /* 0x1664f4882cc1c2.0p-58 */
-T11 = 0.0088632355256619590, /* 0x1226e355c17612.0p-59 */
-T13 = 0.0035921281113786528, /* 0x1d6d3d185d7ff8.0p-61 */
-T15 = 0.0014558334756312418, /* 0x17da354aa3f96b.0p-62 */
-T17 = 0.00059003538700862256, /* 0x13559358685b83.0p-63 */
-T19 = 0.00023907843576635544, /* 0x1f56242026b5be.0p-65 */
-T21 = 0.000097154625656538905, /* 0x1977efc26806f4.0p-66 */
-T23 = 0.000038440165747303162, /* 0x14275a09b3ceac.0p-67 */
-T25 = 0.000018082171885432524, /* 0x12f5e563e5487e.0p-68 */
-T27 = 0.0000024196006108814377, /* 0x144c0d80cc6896.0p-71 */
-T29 = 0.0000078293456938132840, /* 0x106b59141a6cb3.0p-69 */
-T31 = -0.0000032609076735050182, /* -0x1b5abef3ba4b59.0p-71 */
-T33 = 0.0000023261313142559411; /* 0x13835436c0c87f.0p-71 */
-#define RPOLY(w) (T5 + w * (T9 + w * (T13 + w * (T17 + w * (T21 + \
- w * (T25 + w * (T29 + w * T33)))))))
-#define VPOLY(w) (T7 + w * (T11 + w * (T15 + w * (T19 + w * (T23 + \
- w * (T27 + w * T31))))))
+ T3 = 0.333333333333333333180L, /* 0xaaaaaaaaaaaaaaa5.0p-65 */
+ T5 = 0.133333333333333372290L, /* 0x88888888888893c3.0p-66 */
+ T7 = 0.0539682539682504975744L, /* 0xdd0dd0dd0dc13ba2.0p-68 */
+ pio4 = 0.785398163397448309628L, /* 0xc90fdaa22168c235.0p-64 */
+ pio4lo = -1.25413940316708300586e-20L; /* -0xece675d1fc8f8cbb.0p-130 */
+static const double T9 = 0.021869488536312216, /* 0x1664f4882cc1c2.0p-58 */
+ T11 = 0.0088632355256619590, /* 0x1226e355c17612.0p-59 */
+ T13 = 0.0035921281113786528, /* 0x1d6d3d185d7ff8.0p-61 */
+ T15 = 0.0014558334756312418, /* 0x17da354aa3f96b.0p-62 */
+ T17 = 0.00059003538700862256, /* 0x13559358685b83.0p-63 */
+ T19 = 0.00023907843576635544, /* 0x1f56242026b5be.0p-65 */
+ T21 = 0.000097154625656538905, /* 0x1977efc26806f4.0p-66 */
+ T23 = 0.000038440165747303162, /* 0x14275a09b3ceac.0p-67 */
+ T25 = 0.000018082171885432524, /* 0x12f5e563e5487e.0p-68 */
+ T27 = 0.0000024196006108814377, /* 0x144c0d80cc6896.0p-71 */
+ T29 = 0.0000078293456938132840, /* 0x106b59141a6cb3.0p-69 */
+ T31 = -0.0000032609076735050182, /* -0x1b5abef3ba4b59.0p-71 */
+ T33 = 0.0000023261313142559411; /* 0x13835436c0c87f.0p-71 */
+#define RPOLY(w) \
+ (T5 + \
+ w * (T9 + \
+ w * (T13 + w * (T17 + w * (T21 + w * (T25 + w * (T29 + w * T33)))))))
+#define VPOLY(w) \
+ (T7 + w * (T11 + w * (T15 + w * (T19 + w * (T23 + w * (T27 + w * T31))))))
#elif LDBL_MANT_DIG == 113
/*
* ld128 version of __tan.c. See __tan.c for most comments.
@@ -58,86 +59,108 @@ T33 = 0.0000023261313142559411; /* 0x13835436c0c87f.0p-71 */
*
* See __cosl.c for more details about the polynomial.
*/
-static const long double
-T3 = 0x1.5555555555555555555555555553p-2L,
-T5 = 0x1.1111111111111111111111111eb5p-3L,
-T7 = 0x1.ba1ba1ba1ba1ba1ba1ba1b694cd6p-5L,
-T9 = 0x1.664f4882c10f9f32d6bbe09d8bcdp-6L,
-T11 = 0x1.226e355e6c23c8f5b4f5762322eep-7L,
-T13 = 0x1.d6d3d0e157ddfb5fed8e84e27b37p-9L,
-T15 = 0x1.7da36452b75e2b5fce9ee7c2c92ep-10L,
-T17 = 0x1.355824803674477dfcf726649efep-11L,
-T19 = 0x1.f57d7734d1656e0aceb716f614c2p-13L,
-T21 = 0x1.967e18afcb180ed942dfdc518d6cp-14L,
-T23 = 0x1.497d8eea21e95bc7e2aa79b9f2cdp-15L,
-T25 = 0x1.0b132d39f055c81be49eff7afd50p-16L,
-T27 = 0x1.b0f72d33eff7bfa2fbc1059d90b6p-18L,
-T29 = 0x1.5ef2daf21d1113df38d0fbc00267p-19L,
-T31 = 0x1.1c77d6eac0234988cdaa04c96626p-20L,
-T33 = 0x1.cd2a5a292b180e0bdd701057dfe3p-22L,
-T35 = 0x1.75c7357d0298c01a31d0a6f7d518p-23L,
-T37 = 0x1.2f3190f4718a9a520f98f50081fcp-24L,
-pio4 = 0x1.921fb54442d18469898cc51701b8p-1L,
-pio4lo = 0x1.cd129024e088a67cc74020bbea60p-116L;
+static const long double T3 = 0x1.5555555555555555555555555553p-2L,
+ T5 = 0x1.1111111111111111111111111eb5p-3L,
+ T7 = 0x1.ba1ba1ba1ba1ba1ba1ba1b694cd6p-5L,
+ T9 = 0x1.664f4882c10f9f32d6bbe09d8bcdp-6L,
+ T11 = 0x1.226e355e6c23c8f5b4f5762322eep-7L,
+ T13 = 0x1.d6d3d0e157ddfb5fed8e84e27b37p-9L,
+ T15 = 0x1.7da36452b75e2b5fce9ee7c2c92ep-10L,
+ T17 = 0x1.355824803674477dfcf726649efep-11L,
+ T19 = 0x1.f57d7734d1656e0aceb716f614c2p-13L,
+ T21 = 0x1.967e18afcb180ed942dfdc518d6cp-14L,
+ T23 = 0x1.497d8eea21e95bc7e2aa79b9f2cdp-15L,
+ T25 = 0x1.0b132d39f055c81be49eff7afd50p-16L,
+ T27 = 0x1.b0f72d33eff7bfa2fbc1059d90b6p-18L,
+ T29 = 0x1.5ef2daf21d1113df38d0fbc00267p-19L,
+ T31 = 0x1.1c77d6eac0234988cdaa04c96626p-20L,
+ T33 = 0x1.cd2a5a292b180e0bdd701057dfe3p-22L,
+ T35 = 0x1.75c7357d0298c01a31d0a6f7d518p-23L,
+ T37 = 0x1.2f3190f4718a9a520f98f50081fcp-24L,
+ pio4 = 0x1.921fb54442d18469898cc51701b8p-1L,
+ pio4lo = 0x1.cd129024e088a67cc74020bbea60p-116L;
static const double
-T39 = 0.000000028443389121318352, /* 0x1e8a7592977938.0p-78 */
-T41 = 0.000000011981013102001973, /* 0x19baa1b1223219.0p-79 */
-T43 = 0.0000000038303578044958070, /* 0x107385dfb24529.0p-80 */
-T45 = 0.0000000034664378216909893, /* 0x1dc6c702a05262.0p-81 */
-T47 = -0.0000000015090641701997785, /* -0x19ecef3569ebb6.0p-82 */
-T49 = 0.0000000029449552300483952, /* 0x194c0668da786a.0p-81 */
-T51 = -0.0000000022006995706097711, /* -0x12e763b8845268.0p-81 */
-T53 = 0.0000000015468200913196612, /* 0x1a92fc98c29554.0p-82 */
-T55 = -0.00000000061311613386849674, /* -0x151106cbc779a9.0p-83 */
-T57 = 1.4912469681508012e-10; /* 0x147edbdba6f43a.0p-85 */
-#define RPOLY(w) (T5 + w * (T9 + w * (T13 + w * (T17 + w * (T21 + \
- w * (T25 + w * (T29 + w * (T33 + w * (T37 + w * (T41 + \
- w * (T45 + w * (T49 + w * (T53 + w * T57)))))))))))))
-#define VPOLY(w) (T7 + w * (T11 + w * (T15 + w * (T19 + w * (T23 + \
- w * (T27 + w * (T31 + w * (T35 + w * (T39 + w * (T43 + \
- w * (T47 + w * (T51 + w * T55))))))))))))
+ T39 = 0.000000028443389121318352, /* 0x1e8a7592977938.0p-78 */
+ T41 = 0.000000011981013102001973, /* 0x19baa1b1223219.0p-79 */
+ T43 = 0.0000000038303578044958070, /* 0x107385dfb24529.0p-80 */
+ T45 = 0.0000000034664378216909893, /* 0x1dc6c702a05262.0p-81 */
+ T47 = -0.0000000015090641701997785, /* -0x19ecef3569ebb6.0p-82 */
+ T49 = 0.0000000029449552300483952, /* 0x194c0668da786a.0p-81 */
+ T51 = -0.0000000022006995706097711, /* -0x12e763b8845268.0p-81 */
+ T53 = 0.0000000015468200913196612, /* 0x1a92fc98c29554.0p-82 */
+ T55 = -0.00000000061311613386849674, /* -0x151106cbc779a9.0p-83 */
+ T57 = 1.4912469681508012e-10; /* 0x147edbdba6f43a.0p-85 */
+#define RPOLY(w) \
+ (T5 + \
+ w * (T9 + \
+ w * (T13 + \
+ w * (T17 + \
+ w * (T21 + \
+ w * (T25 + \
+ w * (T29 + \
+ w * (T33 + \
+ w * (T37 + \
+ w * (T41 + \
+ w * (T45 + \
+ w * (T49 + \
+ w * (T53 + \
+ w * T57)))))))))))))
+#define VPOLY(w) \
+ (T7 + \
+ w * (T11 + \
+ w * (T15 + \
+ w * (T19 + \
+ w * (T23 + \
+ w * (T27 + \
+ w * (T31 + \
+ w * (T35 + \
+ w * (T39 + \
+ w * (T43 + \
+ w * (T47 + \
+ w * (T51 + \
+ w * T55))))))))))))
#endif
long double __tanl(long double x, long double y, int odd) {
- long double z, r, v, w, s, a, t;
- int big, sign;
+ long double z, r, v, w, s, a, t;
+ int big, sign;
- big = fabsl(x) >= 0.67434;
- if (big) {
- sign = 0;
- if (x < 0) {
- sign = 1;
- x = -x;
- y = -y;
- }
- x = (pio4 - x) + (pio4lo - y);
- y = 0.0;
- }
- z = x * x;
- w = z * z;
- r = RPOLY(w);
- v = z * VPOLY(w);
- s = z * x;
- r = y + z * (s * (r + v) + y) + T3 * s;
- w = x + r;
- if (big) {
- s = 1 - 2*odd;
- v = s - 2.0 * (x + (r - w * w / (w + s)));
- return sign ? -v : v;
- }
- if (!odd)
- return w;
- /*
- * if allow error up to 2 ulp, simply return
- * -1.0 / (x+r) here
- */
- /* compute -1.0 / (x+r) accurately */
- z = w;
- z = z + 0x1p32 - 0x1p32;
- v = r - (z - x); /* z+v = r+x */
- t = a = -1.0 / w; /* a = -1.0/w */
- t = t + 0x1p32 - 0x1p32;
- s = 1.0 + t * z;
- return t + a * (s + t * v);
+ big = fabsl(x) >= 0.67434;
+ if (big) {
+ sign = 0;
+ if (x < 0) {
+ sign = 1;
+ x = -x;
+ y = -y;
+ }
+ x = (pio4 - x) + (pio4lo - y);
+ y = 0.0;
+ }
+ z = x * x;
+ w = z * z;
+ r = RPOLY(w);
+ v = z * VPOLY(w);
+ s = z * x;
+ r = y + z * (s * (r + v) + y) + T3 * s;
+ w = x + r;
+ if (big) {
+ s = 1 - 2 * odd;
+ v = s - 2.0 * (x + (r - w * w / (w + s)));
+ return sign ? -v : v;
+ }
+ if (!odd)
+ return w;
+ /*
+ * if allow error up to 2 ulp, simply return
+ * -1.0 / (x+r) here
+ */
+ /* compute -1.0 / (x+r) accurately */
+ z = w;
+ z = z + 0x1p32 - 0x1p32;
+ v = r - (z - x); /* z+v = r+x */
+ t = a = -1.0 / w; /* a = -1.0/w */
+ t = t + 0x1p32 - 0x1p32;
+ s = 1.0 + t * z;
+ return t + a * (s + t * v);
}
#endif
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