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authorDaniel Baumann <daniel.baumann@progress-linux.org>2024-04-17 13:54:38 +0000
committerDaniel Baumann <daniel.baumann@progress-linux.org>2024-04-17 13:54:38 +0000
commit8c1ab65c0f548d20b7f177bdb736daaf603340e1 (patch)
treedf55b7e75bf43f2bf500845b105afe3ac3a5157e /libc-top-half/musl/src/complex
parentInitial commit. (diff)
downloadwasi-libc-8c1ab65c0f548d20b7f177bdb736daaf603340e1.tar.xz
wasi-libc-8c1ab65c0f548d20b7f177bdb736daaf603340e1.zip
Adding upstream version 0.0~git20221206.8b7148f.upstream/0.0_git20221206.8b7148f
Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>
Diffstat (limited to 'libc-top-half/musl/src/complex')
-rw-r--r--libc-top-half/musl/src/complex/__cexp.c87
-rw-r--r--libc-top-half/musl/src/complex/__cexpf.c68
-rw-r--r--libc-top-half/musl/src/complex/cabs.c6
-rw-r--r--libc-top-half/musl/src/complex/cabsf.c6
-rw-r--r--libc-top-half/musl/src/complex/cabsl.c13
-rw-r--r--libc-top-half/musl/src/complex/cacos.c11
-rw-r--r--libc-top-half/musl/src/complex/cacosf.c11
-rw-r--r--libc-top-half/musl/src/complex/cacosh.c12
-rw-r--r--libc-top-half/musl/src/complex/cacoshf.c10
-rw-r--r--libc-top-half/musl/src/complex/cacoshl.c17
-rw-r--r--libc-top-half/musl/src/complex/cacosl.c16
-rw-r--r--libc-top-half/musl/src/complex/carg.c6
-rw-r--r--libc-top-half/musl/src/complex/cargf.c6
-rw-r--r--libc-top-half/musl/src/complex/cargl.c13
-rw-r--r--libc-top-half/musl/src/complex/casin.c17
-rw-r--r--libc-top-half/musl/src/complex/casinf.c15
-rw-r--r--libc-top-half/musl/src/complex/casinh.c9
-rw-r--r--libc-top-half/musl/src/complex/casinhf.c7
-rw-r--r--libc-top-half/musl/src/complex/casinhl.c14
-rw-r--r--libc-top-half/musl/src/complex/casinl.c21
-rw-r--r--libc-top-half/musl/src/complex/catan.c107
-rw-r--r--libc-top-half/musl/src/complex/catanf.c105
-rw-r--r--libc-top-half/musl/src/complex/catanh.c9
-rw-r--r--libc-top-half/musl/src/complex/catanhf.c7
-rw-r--r--libc-top-half/musl/src/complex/catanhl.c14
-rw-r--r--libc-top-half/musl/src/complex/catanl.c114
-rw-r--r--libc-top-half/musl/src/complex/ccos.c8
-rw-r--r--libc-top-half/musl/src/complex/ccosf.c6
-rw-r--r--libc-top-half/musl/src/complex/ccosh.c140
-rw-r--r--libc-top-half/musl/src/complex/ccoshf.c90
-rw-r--r--libc-top-half/musl/src/complex/ccoshl.c7
-rw-r--r--libc-top-half/musl/src/complex/ccosl.c13
-rw-r--r--libc-top-half/musl/src/complex/cexp.c83
-rw-r--r--libc-top-half/musl/src/complex/cexpf.c83
-rw-r--r--libc-top-half/musl/src/complex/cexpl.c7
-rw-r--r--libc-top-half/musl/src/complex/cimag.c6
-rw-r--r--libc-top-half/musl/src/complex/cimagf.c6
-rw-r--r--libc-top-half/musl/src/complex/cimagl.c6
-rw-r--r--libc-top-half/musl/src/complex/clog.c14
-rw-r--r--libc-top-half/musl/src/complex/clogf.c12
-rw-r--r--libc-top-half/musl/src/complex/clogl.c18
-rw-r--r--libc-top-half/musl/src/complex/conj.c6
-rw-r--r--libc-top-half/musl/src/complex/conjf.c6
-rw-r--r--libc-top-half/musl/src/complex/conjl.c6
-rw-r--r--libc-top-half/musl/src/complex/cpow.c8
-rw-r--r--libc-top-half/musl/src/complex/cpowf.c6
-rw-r--r--libc-top-half/musl/src/complex/cpowl.c13
-rw-r--r--libc-top-half/musl/src/complex/cproj.c8
-rw-r--r--libc-top-half/musl/src/complex/cprojf.c8
-rw-r--r--libc-top-half/musl/src/complex/cprojl.c15
-rw-r--r--libc-top-half/musl/src/complex/creal.c6
-rw-r--r--libc-top-half/musl/src/complex/crealf.c6
-rw-r--r--libc-top-half/musl/src/complex/creall.c6
-rw-r--r--libc-top-half/musl/src/complex/csin.c9
-rw-r--r--libc-top-half/musl/src/complex/csinf.c7
-rw-r--r--libc-top-half/musl/src/complex/csinh.c141
-rw-r--r--libc-top-half/musl/src/complex/csinhf.c90
-rw-r--r--libc-top-half/musl/src/complex/csinhl.c7
-rw-r--r--libc-top-half/musl/src/complex/csinl.c14
-rw-r--r--libc-top-half/musl/src/complex/csqrt.c100
-rw-r--r--libc-top-half/musl/src/complex/csqrtf.c82
-rw-r--r--libc-top-half/musl/src/complex/csqrtl.c7
-rw-r--r--libc-top-half/musl/src/complex/ctan.c9
-rw-r--r--libc-top-half/musl/src/complex/ctanf.c7
-rw-r--r--libc-top-half/musl/src/complex/ctanh.c129
-rw-r--r--libc-top-half/musl/src/complex/ctanhf.c66
-rw-r--r--libc-top-half/musl/src/complex/ctanhl.c7
-rw-r--r--libc-top-half/musl/src/complex/ctanl.c14
68 files changed, 2003 insertions, 0 deletions
diff --git a/libc-top-half/musl/src/complex/__cexp.c b/libc-top-half/musl/src/complex/__cexp.c
new file mode 100644
index 0000000..003d20a
--- /dev/null
+++ b/libc-top-half/musl/src/complex/__cexp.c
@@ -0,0 +1,87 @@
+/* origin: FreeBSD /usr/src/lib/msun/src/k_exp.c */
+/*-
+ * Copyright (c) 2011 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include "complex_impl.h"
+
+static const uint32_t k = 1799; /* constant for reduction */
+static const double kln2 = 1246.97177782734161156; /* k * ln2 */
+
+/*
+ * Compute exp(x), scaled to avoid spurious overflow. An exponent is
+ * returned separately in 'expt'.
+ *
+ * Input: ln(DBL_MAX) <= x < ln(2 * DBL_MAX / DBL_MIN_DENORM) ~= 1454.91
+ * Output: 2**1023 <= y < 2**1024
+ */
+static double __frexp_exp(double x, int *expt)
+{
+ double exp_x;
+ uint32_t hx;
+
+ /*
+ * We use exp(x) = exp(x - kln2) * 2**k, carefully chosen to
+ * minimize |exp(kln2) - 2**k|. We also scale the exponent of
+ * exp_x to MAX_EXP so that the result can be multiplied by
+ * a tiny number without losing accuracy due to denormalization.
+ */
+ exp_x = exp(x - kln2);
+ GET_HIGH_WORD(hx, exp_x);
+ *expt = (hx >> 20) - (0x3ff + 1023) + k;
+ SET_HIGH_WORD(exp_x, (hx & 0xfffff) | ((0x3ff + 1023) << 20));
+ return exp_x;
+}
+
+/*
+ * __ldexp_cexp(x, expt) compute exp(x) * 2**expt.
+ * It is intended for large arguments (real part >= ln(DBL_MAX))
+ * where care is needed to avoid overflow.
+ *
+ * The present implementation is narrowly tailored for our hyperbolic and
+ * exponential functions. We assume expt is small (0 or -1), and the caller
+ * has filtered out very large x, for which overflow would be inevitable.
+ */
+double complex __ldexp_cexp(double complex z, int expt)
+{
+ double x, y, exp_x, scale1, scale2;
+ int ex_expt, half_expt;
+
+ x = creal(z);
+ y = cimag(z);
+ exp_x = __frexp_exp(x, &ex_expt);
+ expt += ex_expt;
+
+ /*
+ * Arrange so that scale1 * scale2 == 2**expt. We use this to
+ * compensate for scalbn being horrendously slow.
+ */
+ half_expt = expt / 2;
+ INSERT_WORDS(scale1, (0x3ff + half_expt) << 20, 0);
+ half_expt = expt - half_expt;
+ INSERT_WORDS(scale2, (0x3ff + half_expt) << 20, 0);
+
+ return CMPLX(cos(y) * exp_x * scale1 * scale2, sin(y) * exp_x * scale1 * scale2);
+}
diff --git a/libc-top-half/musl/src/complex/__cexpf.c b/libc-top-half/musl/src/complex/__cexpf.c
new file mode 100644
index 0000000..ee5ff2b
--- /dev/null
+++ b/libc-top-half/musl/src/complex/__cexpf.c
@@ -0,0 +1,68 @@
+/* origin: FreeBSD /usr/src/lib/msun/src/k_expf.c */
+/*-
+ * Copyright (c) 2011 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include "complex_impl.h"
+
+static const uint32_t k = 235; /* constant for reduction */
+static const float kln2 = 162.88958740F; /* k * ln2 */
+
+/*
+ * See __cexp.c for details.
+ *
+ * Input: ln(FLT_MAX) <= x < ln(2 * FLT_MAX / FLT_MIN_DENORM) ~= 192.7
+ * Output: 2**127 <= y < 2**128
+ */
+static float __frexp_expf(float x, int *expt)
+{
+ float exp_x;
+ uint32_t hx;
+
+ exp_x = expf(x - kln2);
+ GET_FLOAT_WORD(hx, exp_x);
+ *expt = (hx >> 23) - (0x7f + 127) + k;
+ SET_FLOAT_WORD(exp_x, (hx & 0x7fffff) | ((0x7f + 127) << 23));
+ return exp_x;
+}
+
+float complex __ldexp_cexpf(float complex z, int expt)
+{
+ float x, y, exp_x, scale1, scale2;
+ int ex_expt, half_expt;
+
+ x = crealf(z);
+ y = cimagf(z);
+ exp_x = __frexp_expf(x, &ex_expt);
+ expt += ex_expt;
+
+ half_expt = expt / 2;
+ SET_FLOAT_WORD(scale1, (0x7f + half_expt) << 23);
+ half_expt = expt - half_expt;
+ SET_FLOAT_WORD(scale2, (0x7f + half_expt) << 23);
+
+ return CMPLXF(cosf(y) * exp_x * scale1 * scale2,
+ sinf(y) * exp_x * scale1 * scale2);
+}
diff --git a/libc-top-half/musl/src/complex/cabs.c b/libc-top-half/musl/src/complex/cabs.c
new file mode 100644
index 0000000..c5ad58a
--- /dev/null
+++ b/libc-top-half/musl/src/complex/cabs.c
@@ -0,0 +1,6 @@
+#include "complex_impl.h"
+
+double cabs(double complex z)
+{
+ return hypot(creal(z), cimag(z));
+}
diff --git a/libc-top-half/musl/src/complex/cabsf.c b/libc-top-half/musl/src/complex/cabsf.c
new file mode 100644
index 0000000..619f28d
--- /dev/null
+++ b/libc-top-half/musl/src/complex/cabsf.c
@@ -0,0 +1,6 @@
+#include "complex_impl.h"
+
+float cabsf(float complex z)
+{
+ return hypotf(crealf(z), cimagf(z));
+}
diff --git a/libc-top-half/musl/src/complex/cabsl.c b/libc-top-half/musl/src/complex/cabsl.c
new file mode 100644
index 0000000..d37e3f2
--- /dev/null
+++ b/libc-top-half/musl/src/complex/cabsl.c
@@ -0,0 +1,13 @@
+#include "complex_impl.h"
+
+#if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024
+long double cabsl(long double complex z)
+{
+ return cabs(z);
+}
+#else
+long double cabsl(long double complex z)
+{
+ return hypotl(creall(z), cimagl(z));
+}
+#endif
diff --git a/libc-top-half/musl/src/complex/cacos.c b/libc-top-half/musl/src/complex/cacos.c
new file mode 100644
index 0000000..c39d257
--- /dev/null
+++ b/libc-top-half/musl/src/complex/cacos.c
@@ -0,0 +1,11 @@
+#include "complex_impl.h"
+
+// FIXME: Hull et al. "Implementing the complex arcsine and arccosine functions using exception handling" 1997
+
+/* acos(z) = pi/2 - asin(z) */
+
+double complex cacos(double complex z)
+{
+ z = casin(z);
+ return CMPLX(M_PI_2 - creal(z), -cimag(z));
+}
diff --git a/libc-top-half/musl/src/complex/cacosf.c b/libc-top-half/musl/src/complex/cacosf.c
new file mode 100644
index 0000000..ed8acf0
--- /dev/null
+++ b/libc-top-half/musl/src/complex/cacosf.c
@@ -0,0 +1,11 @@
+#include "complex_impl.h"
+
+// FIXME
+
+static const float float_pi_2 = M_PI_2;
+
+float complex cacosf(float complex z)
+{
+ z = casinf(z);
+ return CMPLXF(float_pi_2 - crealf(z), -cimagf(z));
+}
diff --git a/libc-top-half/musl/src/complex/cacosh.c b/libc-top-half/musl/src/complex/cacosh.c
new file mode 100644
index 0000000..76127f7
--- /dev/null
+++ b/libc-top-half/musl/src/complex/cacosh.c
@@ -0,0 +1,12 @@
+#include "complex_impl.h"
+
+/* acosh(z) = i acos(z) */
+
+double complex cacosh(double complex z)
+{
+ int zineg = signbit(cimag(z));
+
+ z = cacos(z);
+ if (zineg) return CMPLX(cimag(z), -creal(z));
+ else return CMPLX(-cimag(z), creal(z));
+}
diff --git a/libc-top-half/musl/src/complex/cacoshf.c b/libc-top-half/musl/src/complex/cacoshf.c
new file mode 100644
index 0000000..8bd8058
--- /dev/null
+++ b/libc-top-half/musl/src/complex/cacoshf.c
@@ -0,0 +1,10 @@
+#include "complex_impl.h"
+
+float complex cacoshf(float complex z)
+{
+ int zineg = signbit(cimagf(z));
+
+ z = cacosf(z);
+ if (zineg) return CMPLXF(cimagf(z), -crealf(z));
+ else return CMPLXF(-cimagf(z), crealf(z));
+}
diff --git a/libc-top-half/musl/src/complex/cacoshl.c b/libc-top-half/musl/src/complex/cacoshl.c
new file mode 100644
index 0000000..3a284be
--- /dev/null
+++ b/libc-top-half/musl/src/complex/cacoshl.c
@@ -0,0 +1,17 @@
+#include "complex_impl.h"
+
+#if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024
+long double complex cacoshl(long double complex z)
+{
+ return cacosh(z);
+}
+#else
+long double complex cacoshl(long double complex z)
+{
+ int zineg = signbit(cimagl(z));
+
+ z = cacosl(z);
+ if (zineg) return CMPLXL(cimagl(z), -creall(z));
+ else return CMPLXL(-cimagl(z), creall(z));
+}
+#endif
diff --git a/libc-top-half/musl/src/complex/cacosl.c b/libc-top-half/musl/src/complex/cacosl.c
new file mode 100644
index 0000000..cc20dcd
--- /dev/null
+++ b/libc-top-half/musl/src/complex/cacosl.c
@@ -0,0 +1,16 @@
+#include "complex_impl.h"
+
+#if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024
+long double complex cacosl(long double complex z)
+{
+ return cacos(z);
+}
+#else
+// FIXME
+#define PI_2 1.57079632679489661923132169163975144L
+long double complex cacosl(long double complex z)
+{
+ z = casinl(z);
+ return CMPLXL(PI_2 - creall(z), -cimagl(z));
+}
+#endif
diff --git a/libc-top-half/musl/src/complex/carg.c b/libc-top-half/musl/src/complex/carg.c
new file mode 100644
index 0000000..dfe9b97
--- /dev/null
+++ b/libc-top-half/musl/src/complex/carg.c
@@ -0,0 +1,6 @@
+#include "complex_impl.h"
+
+double carg(double complex z)
+{
+ return atan2(cimag(z), creal(z));
+}
diff --git a/libc-top-half/musl/src/complex/cargf.c b/libc-top-half/musl/src/complex/cargf.c
new file mode 100644
index 0000000..9a6c19b
--- /dev/null
+++ b/libc-top-half/musl/src/complex/cargf.c
@@ -0,0 +1,6 @@
+#include "complex_impl.h"
+
+float cargf(float complex z)
+{
+ return atan2f(cimagf(z), crealf(z));
+}
diff --git a/libc-top-half/musl/src/complex/cargl.c b/libc-top-half/musl/src/complex/cargl.c
new file mode 100644
index 0000000..88f95f9
--- /dev/null
+++ b/libc-top-half/musl/src/complex/cargl.c
@@ -0,0 +1,13 @@
+#include "complex_impl.h"
+
+#if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024
+long double cargl(long double complex z)
+{
+ return carg(z);
+}
+#else
+long double cargl(long double complex z)
+{
+ return atan2l(cimagl(z), creall(z));
+}
+#endif
diff --git a/libc-top-half/musl/src/complex/casin.c b/libc-top-half/musl/src/complex/casin.c
new file mode 100644
index 0000000..3244beb
--- /dev/null
+++ b/libc-top-half/musl/src/complex/casin.c
@@ -0,0 +1,17 @@
+#include "complex_impl.h"
+
+// FIXME
+
+/* asin(z) = -i log(i z + sqrt(1 - z*z)) */
+
+double complex casin(double complex z)
+{
+ double complex w;
+ double x, y;
+
+ x = creal(z);
+ y = cimag(z);
+ w = CMPLX(1.0 - (x - y)*(x + y), -2.0*x*y);
+ double complex r = clog(CMPLX(-y, x) + csqrt(w));
+ return CMPLX(cimag(r), -creal(r));
+}
diff --git a/libc-top-half/musl/src/complex/casinf.c b/libc-top-half/musl/src/complex/casinf.c
new file mode 100644
index 0000000..2cda2f0
--- /dev/null
+++ b/libc-top-half/musl/src/complex/casinf.c
@@ -0,0 +1,15 @@
+#include "complex_impl.h"
+
+// FIXME
+
+float complex casinf(float complex z)
+{
+ float complex w;
+ float x, y;
+
+ x = crealf(z);
+ y = cimagf(z);
+ w = CMPLXF(1.0 - (x - y)*(x + y), -2.0*x*y);
+ float complex r = clogf(CMPLXF(-y, x) + csqrtf(w));
+ return CMPLXF(cimagf(r), -crealf(r));
+}
diff --git a/libc-top-half/musl/src/complex/casinh.c b/libc-top-half/musl/src/complex/casinh.c
new file mode 100644
index 0000000..50bf27c
--- /dev/null
+++ b/libc-top-half/musl/src/complex/casinh.c
@@ -0,0 +1,9 @@
+#include "complex_impl.h"
+
+/* asinh(z) = -i asin(i z) */
+
+double complex casinh(double complex z)
+{
+ z = casin(CMPLX(-cimag(z), creal(z)));
+ return CMPLX(cimag(z), -creal(z));
+}
diff --git a/libc-top-half/musl/src/complex/casinhf.c b/libc-top-half/musl/src/complex/casinhf.c
new file mode 100644
index 0000000..93d82e5
--- /dev/null
+++ b/libc-top-half/musl/src/complex/casinhf.c
@@ -0,0 +1,7 @@
+#include "complex_impl.h"
+
+float complex casinhf(float complex z)
+{
+ z = casinf(CMPLXF(-cimagf(z), crealf(z)));
+ return CMPLXF(cimagf(z), -crealf(z));
+}
diff --git a/libc-top-half/musl/src/complex/casinhl.c b/libc-top-half/musl/src/complex/casinhl.c
new file mode 100644
index 0000000..68ba3dd
--- /dev/null
+++ b/libc-top-half/musl/src/complex/casinhl.c
@@ -0,0 +1,14 @@
+#include "complex_impl.h"
+
+#if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024
+long double complex casinhl(long double complex z)
+{
+ return casinh(z);
+}
+#else
+long double complex casinhl(long double complex z)
+{
+ z = casinl(CMPLXL(-cimagl(z), creall(z)));
+ return CMPLXL(cimagl(z), -creall(z));
+}
+#endif
diff --git a/libc-top-half/musl/src/complex/casinl.c b/libc-top-half/musl/src/complex/casinl.c
new file mode 100644
index 0000000..072adc4
--- /dev/null
+++ b/libc-top-half/musl/src/complex/casinl.c
@@ -0,0 +1,21 @@
+#include "complex_impl.h"
+
+#if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024
+long double complex casinl(long double complex z)
+{
+ return casin(z);
+}
+#else
+// FIXME
+long double complex casinl(long double complex z)
+{
+ long double complex w;
+ long double x, y;
+
+ x = creall(z);
+ y = cimagl(z);
+ w = CMPLXL(1.0 - (x - y)*(x + y), -2.0*x*y);
+ long double complex r = clogl(CMPLXL(-y, x) + csqrtl(w));
+ return CMPLXL(cimagl(r), -creall(r));
+}
+#endif
diff --git a/libc-top-half/musl/src/complex/catan.c b/libc-top-half/musl/src/complex/catan.c
new file mode 100644
index 0000000..ccc2fb5
--- /dev/null
+++ b/libc-top-half/musl/src/complex/catan.c
@@ -0,0 +1,107 @@
+/* origin: OpenBSD /usr/src/lib/libm/src/s_catan.c */
+/*
+ * Copyright (c) 2008 Stephen L. Moshier <steve@moshier.net>
+ *
+ * Permission to use, copy, modify, and distribute this software for any
+ * purpose with or without fee is hereby granted, provided that the above
+ * copyright notice and this permission notice appear in all copies.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
+ * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
+ * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
+ * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+ * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
+ * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
+ * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+ */
+/*
+ * Complex circular arc tangent
+ *
+ *
+ * SYNOPSIS:
+ *
+ * double complex catan();
+ * double complex z, w;
+ *
+ * w = catan (z);
+ *
+ *
+ * DESCRIPTION:
+ *
+ * If
+ * z = x + iy,
+ *
+ * then
+ * 1 ( 2x )
+ * Re w = - arctan(-----------) + k PI
+ * 2 ( 2 2)
+ * (1 - x - y )
+ *
+ * ( 2 2)
+ * 1 (x + (y+1) )
+ * Im w = - log(------------)
+ * 4 ( 2 2)
+ * (x + (y-1) )
+ *
+ * Where k is an arbitrary integer.
+ *
+ * catan(z) = -i catanh(iz).
+ *
+ * ACCURACY:
+ *
+ * Relative error:
+ * arithmetic domain # trials peak rms
+ * DEC -10,+10 5900 1.3e-16 7.8e-18
+ * IEEE -10,+10 30000 2.3e-15 8.5e-17
+ * The check catan( ctan(z) ) = z, with |x| and |y| < PI/2,
+ * had peak relative error 1.5e-16, rms relative error
+ * 2.9e-17. See also clog().
+ */
+
+#include "complex_impl.h"
+
+#define MAXNUM 1.0e308
+
+static const double DP1 = 3.14159265160560607910E0;
+static const double DP2 = 1.98418714791870343106E-9;
+static const double DP3 = 1.14423774522196636802E-17;
+
+static double _redupi(double x)
+{
+ double t;
+ long i;
+
+ t = x/M_PI;
+ if (t >= 0.0)
+ t += 0.5;
+ else
+ t -= 0.5;
+
+ i = t; /* the multiple */
+ t = i;
+ t = ((x - t * DP1) - t * DP2) - t * DP3;
+ return t;
+}
+
+double complex catan(double complex z)
+{
+ double complex w;
+ double a, t, x, x2, y;
+
+ x = creal(z);
+ y = cimag(z);
+
+ x2 = x * x;
+ a = 1.0 - x2 - (y * y);
+
+ t = 0.5 * atan2(2.0 * x, a);
+ w = _redupi(t);
+
+ t = y - 1.0;
+ a = x2 + (t * t);
+
+ t = y + 1.0;
+ a = (x2 + t * t)/a;
+ w = CMPLX(w, 0.25 * log(a));
+ return w;
+}
diff --git a/libc-top-half/musl/src/complex/catanf.c b/libc-top-half/musl/src/complex/catanf.c
new file mode 100644
index 0000000..1d569f2
--- /dev/null
+++ b/libc-top-half/musl/src/complex/catanf.c
@@ -0,0 +1,105 @@
+/* origin: OpenBSD /usr/src/lib/libm/src/s_catanf.c */
+/*
+ * Copyright (c) 2008 Stephen L. Moshier <steve@moshier.net>
+ *
+ * Permission to use, copy, modify, and distribute this software for any
+ * purpose with or without fee is hereby granted, provided that the above
+ * copyright notice and this permission notice appear in all copies.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
+ * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
+ * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
+ * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+ * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
+ * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
+ * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+ */
+/*
+ * Complex circular arc tangent
+ *
+ *
+ * SYNOPSIS:
+ *
+ * float complex catanf();
+ * float complex z, w;
+ *
+ * w = catanf( z );
+ *
+ *
+ * DESCRIPTION:
+ *
+ * If
+ * z = x + iy,
+ *
+ * then
+ * 1 ( 2x )
+ * Re w = - arctan(-----------) + k PI
+ * 2 ( 2 2)
+ * (1 - x - y )
+ *
+ * ( 2 2)
+ * 1 (x + (y+1) )
+ * Im w = - log(------------)
+ * 4 ( 2 2)
+ * (x + (y-1) )
+ *
+ * Where k is an arbitrary integer.
+ *
+ *
+ * ACCURACY:
+ *
+ * Relative error:
+ * arithmetic domain # trials peak rms
+ * IEEE -10,+10 30000 2.3e-6 5.2e-8
+ */
+
+#include "complex_impl.h"
+
+#define MAXNUMF 1.0e38F
+
+static const double DP1 = 3.140625;
+static const double DP2 = 9.67502593994140625E-4;
+static const double DP3 = 1.509957990978376432E-7;
+
+static const float float_pi = M_PI;
+
+static float _redupif(float xx)
+{
+ float x, t;
+ long i;
+
+ x = xx;
+ t = x/float_pi;
+ if (t >= 0.0f)
+ t += 0.5f;
+ else
+ t -= 0.5f;
+
+ i = t; /* the multiple */
+ t = i;
+ t = ((x - t * DP1) - t * DP2) - t * DP3;
+ return t;
+}
+
+float complex catanf(float complex z)
+{
+ float complex w;
+ float a, t, x, x2, y;
+
+ x = crealf(z);
+ y = cimagf(z);
+
+ x2 = x * x;
+ a = 1.0f - x2 - (y * y);
+
+ t = 0.5f * atan2f(2.0f * x, a);
+ w = _redupif(t);
+
+ t = y - 1.0f;
+ a = x2 + (t * t);
+
+ t = y + 1.0f;
+ a = (x2 + (t * t))/a;
+ w = CMPLXF(w, 0.25f * logf(a));
+ return w;
+}
diff --git a/libc-top-half/musl/src/complex/catanh.c b/libc-top-half/musl/src/complex/catanh.c
new file mode 100644
index 0000000..c324c7f
--- /dev/null
+++ b/libc-top-half/musl/src/complex/catanh.c
@@ -0,0 +1,9 @@
+#include "complex_impl.h"
+
+/* atanh = -i atan(i z) */
+
+double complex catanh(double complex z)
+{
+ z = catan(CMPLX(-cimag(z), creal(z)));
+ return CMPLX(cimag(z), -creal(z));
+}
diff --git a/libc-top-half/musl/src/complex/catanhf.c b/libc-top-half/musl/src/complex/catanhf.c
new file mode 100644
index 0000000..b0505f6
--- /dev/null
+++ b/libc-top-half/musl/src/complex/catanhf.c
@@ -0,0 +1,7 @@
+#include "complex_impl.h"
+
+float complex catanhf(float complex z)
+{
+ z = catanf(CMPLXF(-cimagf(z), crealf(z)));
+ return CMPLXF(cimagf(z), -crealf(z));
+}
diff --git a/libc-top-half/musl/src/complex/catanhl.c b/libc-top-half/musl/src/complex/catanhl.c
new file mode 100644
index 0000000..6025c41
--- /dev/null
+++ b/libc-top-half/musl/src/complex/catanhl.c
@@ -0,0 +1,14 @@
+#include "complex_impl.h"
+
+#if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024
+long double complex catanhl(long double complex z)
+{
+ return catanh(z);
+}
+#else
+long double complex catanhl(long double complex z)
+{
+ z = catanl(CMPLXL(-cimagl(z), creall(z)));
+ return CMPLXL(cimagl(z), -creall(z));
+}
+#endif
diff --git a/libc-top-half/musl/src/complex/catanl.c b/libc-top-half/musl/src/complex/catanl.c
new file mode 100644
index 0000000..e62526c
--- /dev/null
+++ b/libc-top-half/musl/src/complex/catanl.c
@@ -0,0 +1,114 @@
+/* origin: OpenBSD /usr/src/lib/libm/src/s_catanl.c */
+/*
+ * Copyright (c) 2008 Stephen L. Moshier <steve@moshier.net>
+ *
+ * Permission to use, copy, modify, and distribute this software for any
+ * purpose with or without fee is hereby granted, provided that the above
+ * copyright notice and this permission notice appear in all copies.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
+ * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
+ * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
+ * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+ * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
+ * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
+ * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+ */
+/*
+ * Complex circular arc tangent
+ *
+ *
+ * SYNOPSIS:
+ *
+ * long double complex catanl();
+ * long double complex z, w;
+ *
+ * w = catanl( z );
+ *
+ *
+ * DESCRIPTION:
+ *
+ * If
+ * z = x + iy,
+ *
+ * then
+ * 1 ( 2x )
+ * Re w = - arctan(-----------) + k PI
+ * 2 ( 2 2)
+ * (1 - x - y )
+ *
+ * ( 2 2)
+ * 1 (x + (y+1) )
+ * Im w = - log(------------)
+ * 4 ( 2 2)
+ * (x + (y-1) )
+ *
+ * Where k is an arbitrary integer.
+ *
+ *
+ * ACCURACY:
+ *
+ * Relative error:
+ * arithmetic domain # trials peak rms
+ * DEC -10,+10 5900 1.3e-16 7.8e-18
+ * IEEE -10,+10 30000 2.3e-15 8.5e-17
+ * The check catan( ctan(z) ) = z, with |x| and |y| < PI/2,
+ * had peak relative error 1.5e-16, rms relative error
+ * 2.9e-17. See also clog().
+ */
+
+#include <complex.h>
+#include <float.h>
+#include "complex_impl.h"
+
+#if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024
+long double complex catanl(long double complex z)
+{
+ return catan(z);
+}
+#else
+static const long double PIL = 3.141592653589793238462643383279502884197169L;
+static const long double DP1 = 3.14159265358979323829596852490908531763125L;
+static const long double DP2 = 1.6667485837041756656403424829301998703007e-19L;
+static const long double DP3 = 1.8830410776607851167459095484560349402753e-39L;
+
+static long double redupil(long double x)
+{
+ long double t;
+ long i;
+
+ t = x / PIL;
+ if (t >= 0.0L)
+ t += 0.5L;
+ else
+ t -= 0.5L;
+
+ i = t; /* the multiple */
+ t = i;
+ t = ((x - t * DP1) - t * DP2) - t * DP3;
+ return t;
+}
+
+long double complex catanl(long double complex z)
+{
+ long double complex w;
+ long double a, t, x, x2, y;
+
+ x = creall(z);
+ y = cimagl(z);
+
+ x2 = x * x;
+ a = 1.0L - x2 - (y * y);
+
+ t = atan2l(2.0L * x, a) * 0.5L;
+ w = redupil(t);
+
+ t = y - 1.0L;
+ a = x2 + (t * t);
+
+ t = y + 1.0L;
+ a = (x2 + (t * t)) / a;
+ w = CMPLXF(w, 0.25L * logl(a));
+ return w;
+}
+#endif
diff --git a/libc-top-half/musl/src/complex/ccos.c b/libc-top-half/musl/src/complex/ccos.c
new file mode 100644
index 0000000..f32e1fa
--- /dev/null
+++ b/libc-top-half/musl/src/complex/ccos.c
@@ -0,0 +1,8 @@
+#include "complex_impl.h"
+
+/* cos(z) = cosh(i z) */
+
+double complex ccos(double complex z)
+{
+ return ccosh(CMPLX(-cimag(z), creal(z)));
+}
diff --git a/libc-top-half/musl/src/complex/ccosf.c b/libc-top-half/musl/src/complex/ccosf.c
new file mode 100644
index 0000000..490be9b
--- /dev/null
+++ b/libc-top-half/musl/src/complex/ccosf.c
@@ -0,0 +1,6 @@
+#include "complex_impl.h"
+
+float complex ccosf(float complex z)
+{
+ return ccoshf(CMPLXF(-cimagf(z), crealf(z)));
+}
diff --git a/libc-top-half/musl/src/complex/ccosh.c b/libc-top-half/musl/src/complex/ccosh.c
new file mode 100644
index 0000000..c995da7
--- /dev/null
+++ b/libc-top-half/musl/src/complex/ccosh.c
@@ -0,0 +1,140 @@
+/* origin: FreeBSD /usr/src/lib/msun/src/s_ccosh.c */
+/*-
+ * Copyright (c) 2005 Bruce D. Evans and Steven G. Kargl
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice unmodified, this list of conditions, and the following
+ * disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+/*
+ * Hyperbolic cosine of a complex argument z = x + i y.
+ *
+ * cosh(z) = cosh(x+iy)
+ * = cosh(x) cos(y) + i sinh(x) sin(y).
+ *
+ * Exceptional values are noted in the comments within the source code.
+ * These values and the return value were taken from n1124.pdf.
+ */
+
+#include "complex_impl.h"
+
+static const double huge = 0x1p1023;
+
+double complex ccosh(double complex z)
+{
+ double x, y, h;
+ int32_t hx, hy, ix, iy, lx, ly;
+
+ x = creal(z);
+ y = cimag(z);
+
+ EXTRACT_WORDS(hx, lx, x);
+ EXTRACT_WORDS(hy, ly, y);
+
+ ix = 0x7fffffff & hx;
+ iy = 0x7fffffff & hy;
+
+ /* Handle the nearly-non-exceptional cases where x and y are finite. */
+ if (ix < 0x7ff00000 && iy < 0x7ff00000) {
+ if ((iy | ly) == 0)
+ return CMPLX(cosh(x), x * y);
+ if (ix < 0x40360000) /* small x: normal case */
+ return CMPLX(cosh(x) * cos(y), sinh(x) * sin(y));
+
+ /* |x| >= 22, so cosh(x) ~= exp(|x|) */
+ if (ix < 0x40862e42) {
+ /* x < 710: exp(|x|) won't overflow */
+ h = exp(fabs(x)) * 0.5;
+ return CMPLX(h * cos(y), copysign(h, x) * sin(y));
+ } else if (ix < 0x4096bbaa) {
+ /* x < 1455: scale to avoid overflow */
+ z = __ldexp_cexp(CMPLX(fabs(x), y), -1);
+ return CMPLX(creal(z), cimag(z) * copysign(1, x));
+ } else {
+ /* x >= 1455: the result always overflows */
+ h = huge * x;
+ return CMPLX(h * h * cos(y), h * sin(y));
+ }
+ }
+
+ /*
+ * cosh(+-0 +- I Inf) = dNaN + I sign(d(+-0, dNaN))0.
+ * The sign of 0 in the result is unspecified. Choice = normally
+ * the same as dNaN. Raise the invalid floating-point exception.
+ *
+ * cosh(+-0 +- I NaN) = d(NaN) + I sign(d(+-0, NaN))0.
+ * The sign of 0 in the result is unspecified. Choice = normally
+ * the same as d(NaN).
+ */
+ if ((ix | lx) == 0 && iy >= 0x7ff00000)
+ return CMPLX(y - y, copysign(0, x * (y - y)));
+
+ /*
+ * cosh(+-Inf +- I 0) = +Inf + I (+-)(+-)0.
+ *
+ * cosh(NaN +- I 0) = d(NaN) + I sign(d(NaN, +-0))0.
+ * The sign of 0 in the result is unspecified.
+ */
+ if ((iy | ly) == 0 && ix >= 0x7ff00000) {
+ if (((hx & 0xfffff) | lx) == 0)
+ return CMPLX(x * x, copysign(0, x) * y);
+ return CMPLX(x * x, copysign(0, (x + x) * y));
+ }
+
+ /*
+ * cosh(x +- I Inf) = dNaN + I dNaN.
+ * Raise the invalid floating-point exception for finite nonzero x.
+ *
+ * cosh(x + I NaN) = d(NaN) + I d(NaN).
+ * Optionally raises the invalid floating-point exception for finite
+ * nonzero x. Choice = don't raise (except for signaling NaNs).
+ */
+ if (ix < 0x7ff00000 && iy >= 0x7ff00000)
+ return CMPLX(y - y, x * (y - y));
+
+ /*
+ * cosh(+-Inf + I NaN) = +Inf + I d(NaN).
+ *
+ * cosh(+-Inf +- I Inf) = +Inf + I dNaN.
+ * The sign of Inf in the result is unspecified. Choice = always +.
+ * Raise the invalid floating-point exception.
+ *
+ * cosh(+-Inf + I y) = +Inf cos(y) +- I Inf sin(y)
+ */
+ if (ix >= 0x7ff00000 && ((hx & 0xfffff) | lx) == 0) {
+ if (iy >= 0x7ff00000)
+ return CMPLX(x * x, x * (y - y));
+ return CMPLX((x * x) * cos(y), x * sin(y));
+ }
+
+ /*
+ * cosh(NaN + I NaN) = d(NaN) + I d(NaN).
+ *
+ * cosh(NaN +- I Inf) = d(NaN) + I d(NaN).
+ * Optionally raises the invalid floating-point exception.
+ * Choice = raise.
+ *
+ * cosh(NaN + I y) = d(NaN) + I d(NaN).
+ * Optionally raises the invalid floating-point exception for finite
+ * nonzero y. Choice = don't raise (except for signaling NaNs).
+ */
+ return CMPLX((x * x) * (y - y), (x + x) * (y - y));
+}
diff --git a/libc-top-half/musl/src/complex/ccoshf.c b/libc-top-half/musl/src/complex/ccoshf.c
new file mode 100644
index 0000000..189ce94
--- /dev/null
+++ b/libc-top-half/musl/src/complex/ccoshf.c
@@ -0,0 +1,90 @@
+/* origin: FreeBSD /usr/src/lib/msun/src/s_ccoshf.c */
+/*-
+ * Copyright (c) 2005 Bruce D. Evans and Steven G. Kargl
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice unmodified, this list of conditions, and the following
+ * disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+/*
+ * Hyperbolic cosine of a complex argument. See s_ccosh.c for details.
+ */
+
+#include "complex_impl.h"
+
+static const float huge = 0x1p127;
+
+float complex ccoshf(float complex z)
+{
+ float x, y, h;
+ int32_t hx, hy, ix, iy;
+
+ x = crealf(z);
+ y = cimagf(z);
+
+ GET_FLOAT_WORD(hx, x);
+ GET_FLOAT_WORD(hy, y);
+
+ ix = 0x7fffffff & hx;
+ iy = 0x7fffffff & hy;
+
+ if (ix < 0x7f800000 && iy < 0x7f800000) {
+ if (iy == 0)
+ return CMPLXF(coshf(x), x * y);
+ if (ix < 0x41100000) /* small x: normal case */
+ return CMPLXF(coshf(x) * cosf(y), sinhf(x) * sinf(y));
+
+ /* |x| >= 9, so cosh(x) ~= exp(|x|) */
+ if (ix < 0x42b17218) {
+ /* x < 88.7: expf(|x|) won't overflow */
+ h = expf(fabsf(x)) * 0.5f;
+ return CMPLXF(h * cosf(y), copysignf(h, x) * sinf(y));
+ } else if (ix < 0x4340b1e7) {
+ /* x < 192.7: scale to avoid overflow */
+ z = __ldexp_cexpf(CMPLXF(fabsf(x), y), -1);
+ return CMPLXF(crealf(z), cimagf(z) * copysignf(1, x));
+ } else {
+ /* x >= 192.7: the result always overflows */
+ h = huge * x;
+ return CMPLXF(h * h * cosf(y), h * sinf(y));
+ }
+ }
+
+ if (ix == 0 && iy >= 0x7f800000)
+ return CMPLXF(y - y, copysignf(0, x * (y - y)));
+
+ if (iy == 0 && ix >= 0x7f800000) {
+ if ((hx & 0x7fffff) == 0)
+ return CMPLXF(x * x, copysignf(0, x) * y);
+ return CMPLXF(x * x, copysignf(0, (x + x) * y));
+ }
+
+ if (ix < 0x7f800000 && iy >= 0x7f800000)
+ return CMPLXF(y - y, x * (y - y));
+
+ if (ix >= 0x7f800000 && (hx & 0x7fffff) == 0) {
+ if (iy >= 0x7f800000)
+ return CMPLXF(x * x, x * (y - y));
+ return CMPLXF((x * x) * cosf(y), x * sinf(y));
+ }
+
+ return CMPLXF((x * x) * (y - y), (x + x) * (y - y));
+}
diff --git a/libc-top-half/musl/src/complex/ccoshl.c b/libc-top-half/musl/src/complex/ccoshl.c
new file mode 100644
index 0000000..ffb4d8a
--- /dev/null
+++ b/libc-top-half/musl/src/complex/ccoshl.c
@@ -0,0 +1,7 @@
+#include "complex_impl.h"
+
+//FIXME
+long double complex ccoshl(long double complex z)
+{
+ return ccosh(z);
+}
diff --git a/libc-top-half/musl/src/complex/ccosl.c b/libc-top-half/musl/src/complex/ccosl.c
new file mode 100644
index 0000000..2530006
--- /dev/null
+++ b/libc-top-half/musl/src/complex/ccosl.c
@@ -0,0 +1,13 @@
+#include "complex_impl.h"
+
+#if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024
+long double complex ccosl(long double complex z)
+{
+ return ccos(z);
+}
+#else
+long double complex ccosl(long double complex z)
+{
+ return ccoshl(CMPLXL(-cimagl(z), creall(z)));
+}
+#endif
diff --git a/libc-top-half/musl/src/complex/cexp.c b/libc-top-half/musl/src/complex/cexp.c
new file mode 100644
index 0000000..7fb489b
--- /dev/null
+++ b/libc-top-half/musl/src/complex/cexp.c
@@ -0,0 +1,83 @@
+/* origin: FreeBSD /usr/src/lib/msun/src/s_cexp.c */
+/*-
+ * Copyright (c) 2011 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include "complex_impl.h"
+
+static const uint32_t
+exp_ovfl = 0x40862e42, /* high bits of MAX_EXP * ln2 ~= 710 */
+cexp_ovfl = 0x4096b8e4; /* (MAX_EXP - MIN_DENORM_EXP) * ln2 */
+
+double complex cexp(double complex z)
+{
+ double x, y, exp_x;
+ uint32_t hx, hy, lx, ly;
+
+ x = creal(z);
+ y = cimag(z);
+
+ EXTRACT_WORDS(hy, ly, y);
+ hy &= 0x7fffffff;
+
+ /* cexp(x + I 0) = exp(x) + I 0 */
+ if ((hy | ly) == 0)
+ return CMPLX(exp(x), y);
+ EXTRACT_WORDS(hx, lx, x);
+ /* cexp(0 + I y) = cos(y) + I sin(y) */
+ if (((hx & 0x7fffffff) | lx) == 0)
+ return CMPLX(cos(y), sin(y));
+
+ if (hy >= 0x7ff00000) {
+ if (lx != 0 || (hx & 0x7fffffff) != 0x7ff00000) {
+ /* cexp(finite|NaN +- I Inf|NaN) = NaN + I NaN */
+ return CMPLX(y - y, y - y);
+ } else if (hx & 0x80000000) {
+ /* cexp(-Inf +- I Inf|NaN) = 0 + I 0 */
+ return CMPLX(0.0, 0.0);
+ } else {
+ /* cexp(+Inf +- I Inf|NaN) = Inf + I NaN */
+ return CMPLX(x, y - y);
+ }
+ }
+
+ if (hx >= exp_ovfl && hx <= cexp_ovfl) {
+ /*
+ * x is between 709.7 and 1454.3, so we must scale to avoid
+ * overflow in exp(x).
+ */
+ return __ldexp_cexp(z, 0);
+ } else {
+ /*
+ * Cases covered here:
+ * - x < exp_ovfl and exp(x) won't overflow (common case)
+ * - x > cexp_ovfl, so exp(x) * s overflows for all s > 0
+ * - x = +-Inf (generated by exp())
+ * - x = NaN (spurious inexact exception from y)
+ */
+ exp_x = exp(x);
+ return CMPLX(exp_x * cos(y), exp_x * sin(y));
+ }
+}
diff --git a/libc-top-half/musl/src/complex/cexpf.c b/libc-top-half/musl/src/complex/cexpf.c
new file mode 100644
index 0000000..00d258f
--- /dev/null
+++ b/libc-top-half/musl/src/complex/cexpf.c
@@ -0,0 +1,83 @@
+/* origin: FreeBSD /usr/src/lib/msun/src/s_cexpf.c */
+/*-
+ * Copyright (c) 2011 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include "complex_impl.h"
+
+static const uint32_t
+exp_ovfl = 0x42b17218, /* MAX_EXP * ln2 ~= 88.722839355 */
+cexp_ovfl = 0x43400074; /* (MAX_EXP - MIN_DENORM_EXP) * ln2 */
+
+float complex cexpf(float complex z)
+{
+ float x, y, exp_x;
+ uint32_t hx, hy;
+
+ x = crealf(z);
+ y = cimagf(z);
+
+ GET_FLOAT_WORD(hy, y);
+ hy &= 0x7fffffff;
+
+ /* cexp(x + I 0) = exp(x) + I 0 */
+ if (hy == 0)
+ return CMPLXF(expf(x), y);
+ GET_FLOAT_WORD(hx, x);
+ /* cexp(0 + I y) = cos(y) + I sin(y) */
+ if ((hx & 0x7fffffff) == 0)
+ return CMPLXF(cosf(y), sinf(y));
+
+ if (hy >= 0x7f800000) {
+ if ((hx & 0x7fffffff) != 0x7f800000) {
+ /* cexp(finite|NaN +- I Inf|NaN) = NaN + I NaN */
+ return CMPLXF(y - y, y - y);
+ } else if (hx & 0x80000000) {
+ /* cexp(-Inf +- I Inf|NaN) = 0 + I 0 */
+ return CMPLXF(0.0, 0.0);
+ } else {
+ /* cexp(+Inf +- I Inf|NaN) = Inf + I NaN */
+ return CMPLXF(x, y - y);
+ }
+ }
+
+ if (hx >= exp_ovfl && hx <= cexp_ovfl) {
+ /*
+ * x is between 88.7 and 192, so we must scale to avoid
+ * overflow in expf(x).
+ */
+ return __ldexp_cexpf(z, 0);
+ } else {
+ /*
+ * Cases covered here:
+ * - x < exp_ovfl and exp(x) won't overflow (common case)
+ * - x > cexp_ovfl, so exp(x) * s overflows for all s > 0
+ * - x = +-Inf (generated by exp())
+ * - x = NaN (spurious inexact exception from y)
+ */
+ exp_x = expf(x);
+ return CMPLXF(exp_x * cosf(y), exp_x * sinf(y));
+ }
+}
diff --git a/libc-top-half/musl/src/complex/cexpl.c b/libc-top-half/musl/src/complex/cexpl.c
new file mode 100644
index 0000000..d4df950
--- /dev/null
+++ b/libc-top-half/musl/src/complex/cexpl.c
@@ -0,0 +1,7 @@
+#include "complex_impl.h"
+
+//FIXME
+long double complex cexpl(long double complex z)
+{
+ return cexp(z);
+}
diff --git a/libc-top-half/musl/src/complex/cimag.c b/libc-top-half/musl/src/complex/cimag.c
new file mode 100644
index 0000000..d6b0e68
--- /dev/null
+++ b/libc-top-half/musl/src/complex/cimag.c
@@ -0,0 +1,6 @@
+#include "complex_impl.h"
+
+double (cimag)(double complex z)
+{
+ return cimag(z);
+}
diff --git a/libc-top-half/musl/src/complex/cimagf.c b/libc-top-half/musl/src/complex/cimagf.c
new file mode 100644
index 0000000..b7166dc
--- /dev/null
+++ b/libc-top-half/musl/src/complex/cimagf.c
@@ -0,0 +1,6 @@
+#include "complex_impl.h"
+
+float (cimagf)(float complex z)
+{
+ return cimagf(z);
+}
diff --git a/libc-top-half/musl/src/complex/cimagl.c b/libc-top-half/musl/src/complex/cimagl.c
new file mode 100644
index 0000000..4db77f2
--- /dev/null
+++ b/libc-top-half/musl/src/complex/cimagl.c
@@ -0,0 +1,6 @@
+#include "complex_impl.h"
+
+long double (cimagl)(long double complex z)
+{
+ return cimagl(z);
+}
diff --git a/libc-top-half/musl/src/complex/clog.c b/libc-top-half/musl/src/complex/clog.c
new file mode 100644
index 0000000..b587c29
--- /dev/null
+++ b/libc-top-half/musl/src/complex/clog.c
@@ -0,0 +1,14 @@
+#include "complex_impl.h"
+
+// FIXME
+
+/* log(z) = log(|z|) + i arg(z) */
+
+double complex clog(double complex z)
+{
+ double r, phi;
+
+ r = cabs(z);
+ phi = carg(z);
+ return CMPLX(log(r), phi);
+}
diff --git a/libc-top-half/musl/src/complex/clogf.c b/libc-top-half/musl/src/complex/clogf.c
new file mode 100644
index 0000000..0389d47
--- /dev/null
+++ b/libc-top-half/musl/src/complex/clogf.c
@@ -0,0 +1,12 @@
+#include "complex_impl.h"
+
+// FIXME
+
+float complex clogf(float complex z)
+{
+ float r, phi;
+
+ r = cabsf(z);
+ phi = cargf(z);
+ return CMPLXF(logf(r), phi);
+}
diff --git a/libc-top-half/musl/src/complex/clogl.c b/libc-top-half/musl/src/complex/clogl.c
new file mode 100644
index 0000000..88e83e8
--- /dev/null
+++ b/libc-top-half/musl/src/complex/clogl.c
@@ -0,0 +1,18 @@
+#include "complex_impl.h"
+
+#if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024
+long double complex clogl(long double complex z)
+{
+ return clog(z);
+}
+#else
+// FIXME
+long double complex clogl(long double complex z)
+{
+ long double r, phi;
+
+ r = cabsl(z);
+ phi = cargl(z);
+ return CMPLXL(logl(r), phi);
+}
+#endif
diff --git a/libc-top-half/musl/src/complex/conj.c b/libc-top-half/musl/src/complex/conj.c
new file mode 100644
index 0000000..a3b19a4
--- /dev/null
+++ b/libc-top-half/musl/src/complex/conj.c
@@ -0,0 +1,6 @@
+#include "complex_impl.h"
+
+double complex conj(double complex z)
+{
+ return CMPLX(creal(z), -cimag(z));
+}
diff --git a/libc-top-half/musl/src/complex/conjf.c b/libc-top-half/musl/src/complex/conjf.c
new file mode 100644
index 0000000..b2195c8
--- /dev/null
+++ b/libc-top-half/musl/src/complex/conjf.c
@@ -0,0 +1,6 @@
+#include "complex_impl.h"
+
+float complex conjf(float complex z)
+{
+ return CMPLXF(crealf(z), -cimagf(z));
+}
diff --git a/libc-top-half/musl/src/complex/conjl.c b/libc-top-half/musl/src/complex/conjl.c
new file mode 100644
index 0000000..87a4ebe
--- /dev/null
+++ b/libc-top-half/musl/src/complex/conjl.c
@@ -0,0 +1,6 @@
+#include "complex_impl.h"
+
+long double complex conjl(long double complex z)
+{
+ return CMPLXL(creall(z), -cimagl(z));
+}
diff --git a/libc-top-half/musl/src/complex/cpow.c b/libc-top-half/musl/src/complex/cpow.c
new file mode 100644
index 0000000..1137d39
--- /dev/null
+++ b/libc-top-half/musl/src/complex/cpow.c
@@ -0,0 +1,8 @@
+#include "complex_impl.h"
+
+/* pow(z, c) = exp(c log(z)), See C99 G.6.4.1 */
+
+double complex cpow(double complex z, double complex c)
+{
+ return cexp(c * clog(z));
+}
diff --git a/libc-top-half/musl/src/complex/cpowf.c b/libc-top-half/musl/src/complex/cpowf.c
new file mode 100644
index 0000000..f3fd4b7
--- /dev/null
+++ b/libc-top-half/musl/src/complex/cpowf.c
@@ -0,0 +1,6 @@
+#include "complex_impl.h"
+
+float complex cpowf(float complex z, float complex c)
+{
+ return cexpf(c * clogf(z));
+}
diff --git a/libc-top-half/musl/src/complex/cpowl.c b/libc-top-half/musl/src/complex/cpowl.c
new file mode 100644
index 0000000..be36f04
--- /dev/null
+++ b/libc-top-half/musl/src/complex/cpowl.c
@@ -0,0 +1,13 @@
+#include "complex_impl.h"
+
+#if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024
+long double complex cpowl(long double complex z, long double complex c)
+{
+ return cpow(z, c);
+}
+#else
+long double complex cpowl(long double complex z, long double complex c)
+{
+ return cexpl(c * clogl(z));
+}
+#endif
diff --git a/libc-top-half/musl/src/complex/cproj.c b/libc-top-half/musl/src/complex/cproj.c
new file mode 100644
index 0000000..d2b8f5a
--- /dev/null
+++ b/libc-top-half/musl/src/complex/cproj.c
@@ -0,0 +1,8 @@
+#include "complex_impl.h"
+
+double complex cproj(double complex z)
+{
+ if (isinf(creal(z)) || isinf(cimag(z)))
+ return CMPLX(INFINITY, copysign(0.0, cimag(z)));
+ return z;
+}
diff --git a/libc-top-half/musl/src/complex/cprojf.c b/libc-top-half/musl/src/complex/cprojf.c
new file mode 100644
index 0000000..15a874b
--- /dev/null
+++ b/libc-top-half/musl/src/complex/cprojf.c
@@ -0,0 +1,8 @@
+#include "complex_impl.h"
+
+float complex cprojf(float complex z)
+{
+ if (isinf(crealf(z)) || isinf(cimagf(z)))
+ return CMPLXF(INFINITY, copysignf(0.0, cimagf(z)));
+ return z;
+}
diff --git a/libc-top-half/musl/src/complex/cprojl.c b/libc-top-half/musl/src/complex/cprojl.c
new file mode 100644
index 0000000..531ffa1
--- /dev/null
+++ b/libc-top-half/musl/src/complex/cprojl.c
@@ -0,0 +1,15 @@
+#include "complex_impl.h"
+
+#if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024
+long double complex cprojl(long double complex z)
+{
+ return cproj(z);
+}
+#else
+long double complex cprojl(long double complex z)
+{
+ if (isinf(creall(z)) || isinf(cimagl(z)))
+ return CMPLXL(INFINITY, copysignl(0.0, cimagl(z)));
+ return z;
+}
+#endif
diff --git a/libc-top-half/musl/src/complex/creal.c b/libc-top-half/musl/src/complex/creal.c
new file mode 100644
index 0000000..f670304
--- /dev/null
+++ b/libc-top-half/musl/src/complex/creal.c
@@ -0,0 +1,6 @@
+#include <complex.h>
+
+double (creal)(double complex z)
+{
+ return creal(z);
+}
diff --git a/libc-top-half/musl/src/complex/crealf.c b/libc-top-half/musl/src/complex/crealf.c
new file mode 100644
index 0000000..5dc3ff1
--- /dev/null
+++ b/libc-top-half/musl/src/complex/crealf.c
@@ -0,0 +1,6 @@
+#include <complex.h>
+
+float (crealf)(float complex z)
+{
+ return crealf(z);
+}
diff --git a/libc-top-half/musl/src/complex/creall.c b/libc-top-half/musl/src/complex/creall.c
new file mode 100644
index 0000000..fd9dc34
--- /dev/null
+++ b/libc-top-half/musl/src/complex/creall.c
@@ -0,0 +1,6 @@
+#include <complex.h>
+
+long double (creall)(long double complex z)
+{
+ return creall(z);
+}
diff --git a/libc-top-half/musl/src/complex/csin.c b/libc-top-half/musl/src/complex/csin.c
new file mode 100644
index 0000000..535c4bf
--- /dev/null
+++ b/libc-top-half/musl/src/complex/csin.c
@@ -0,0 +1,9 @@
+#include "complex_impl.h"
+
+/* sin(z) = -i sinh(i z) */
+
+double complex csin(double complex z)
+{
+ z = csinh(CMPLX(-cimag(z), creal(z)));
+ return CMPLX(cimag(z), -creal(z));
+}
diff --git a/libc-top-half/musl/src/complex/csinf.c b/libc-top-half/musl/src/complex/csinf.c
new file mode 100644
index 0000000..69f5164
--- /dev/null
+++ b/libc-top-half/musl/src/complex/csinf.c
@@ -0,0 +1,7 @@
+#include "complex_impl.h"
+
+float complex csinf(float complex z)
+{
+ z = csinhf(CMPLXF(-cimagf(z), crealf(z)));
+ return CMPLXF(cimagf(z), -crealf(z));
+}
diff --git a/libc-top-half/musl/src/complex/csinh.c b/libc-top-half/musl/src/complex/csinh.c
new file mode 100644
index 0000000..eda0ab5
--- /dev/null
+++ b/libc-top-half/musl/src/complex/csinh.c
@@ -0,0 +1,141 @@
+/* origin: FreeBSD /usr/src/lib/msun/src/s_csinh.c */
+/*-
+ * Copyright (c) 2005 Bruce D. Evans and Steven G. Kargl
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice unmodified, this list of conditions, and the following
+ * disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+/*
+ * Hyperbolic sine of a complex argument z = x + i y.
+ *
+ * sinh(z) = sinh(x+iy)
+ * = sinh(x) cos(y) + i cosh(x) sin(y).
+ *
+ * Exceptional values are noted in the comments within the source code.
+ * These values and the return value were taken from n1124.pdf.
+ */
+
+#include "complex_impl.h"
+
+static const double huge = 0x1p1023;
+
+double complex csinh(double complex z)
+{
+ double x, y, h;
+ int32_t hx, hy, ix, iy, lx, ly;
+
+ x = creal(z);
+ y = cimag(z);
+
+ EXTRACT_WORDS(hx, lx, x);
+ EXTRACT_WORDS(hy, ly, y);
+
+ ix = 0x7fffffff & hx;
+ iy = 0x7fffffff & hy;
+
+ /* Handle the nearly-non-exceptional cases where x and y are finite. */
+ if (ix < 0x7ff00000 && iy < 0x7ff00000) {
+ if ((iy | ly) == 0)
+ return CMPLX(sinh(x), y);
+ if (ix < 0x40360000) /* small x: normal case */
+ return CMPLX(sinh(x) * cos(y), cosh(x) * sin(y));
+
+ /* |x| >= 22, so cosh(x) ~= exp(|x|) */
+ if (ix < 0x40862e42) {
+ /* x < 710: exp(|x|) won't overflow */
+ h = exp(fabs(x)) * 0.5;
+ return CMPLX(copysign(h, x) * cos(y), h * sin(y));
+ } else if (ix < 0x4096bbaa) {
+ /* x < 1455: scale to avoid overflow */
+ z = __ldexp_cexp(CMPLX(fabs(x), y), -1);
+ return CMPLX(creal(z) * copysign(1, x), cimag(z));
+ } else {
+ /* x >= 1455: the result always overflows */
+ h = huge * x;
+ return CMPLX(h * cos(y), h * h * sin(y));
+ }
+ }
+
+ /*
+ * sinh(+-0 +- I Inf) = sign(d(+-0, dNaN))0 + I dNaN.
+ * The sign of 0 in the result is unspecified. Choice = normally
+ * the same as dNaN. Raise the invalid floating-point exception.
+ *
+ * sinh(+-0 +- I NaN) = sign(d(+-0, NaN))0 + I d(NaN).
+ * The sign of 0 in the result is unspecified. Choice = normally
+ * the same as d(NaN).
+ */
+ if ((ix | lx) == 0 && iy >= 0x7ff00000)
+ return CMPLX(copysign(0, x * (y - y)), y - y);
+
+ /*
+ * sinh(+-Inf +- I 0) = +-Inf + I +-0.
+ *
+ * sinh(NaN +- I 0) = d(NaN) + I +-0.
+ */
+ if ((iy | ly) == 0 && ix >= 0x7ff00000) {
+ if (((hx & 0xfffff) | lx) == 0)
+ return CMPLX(x, y);
+ return CMPLX(x, copysign(0, y));
+ }
+
+ /*
+ * sinh(x +- I Inf) = dNaN + I dNaN.
+ * Raise the invalid floating-point exception for finite nonzero x.
+ *
+ * sinh(x + I NaN) = d(NaN) + I d(NaN).
+ * Optionally raises the invalid floating-point exception for finite
+ * nonzero x. Choice = don't raise (except for signaling NaNs).
+ */
+ if (ix < 0x7ff00000 && iy >= 0x7ff00000)
+ return CMPLX(y - y, x * (y - y));
+
+ /*
+ * sinh(+-Inf + I NaN) = +-Inf + I d(NaN).
+ * The sign of Inf in the result is unspecified. Choice = normally
+ * the same as d(NaN).
+ *
+ * sinh(+-Inf +- I Inf) = +Inf + I dNaN.
+ * The sign of Inf in the result is unspecified. Choice = always +.
+ * Raise the invalid floating-point exception.
+ *
+ * sinh(+-Inf + I y) = +-Inf cos(y) + I Inf sin(y)
+ */
+ if (ix >= 0x7ff00000 && ((hx & 0xfffff) | lx) == 0) {
+ if (iy >= 0x7ff00000)
+ return CMPLX(x * x, x * (y - y));
+ return CMPLX(x * cos(y), INFINITY * sin(y));
+ }
+
+ /*
+ * sinh(NaN + I NaN) = d(NaN) + I d(NaN).
+ *
+ * sinh(NaN +- I Inf) = d(NaN) + I d(NaN).
+ * Optionally raises the invalid floating-point exception.
+ * Choice = raise.
+ *
+ * sinh(NaN + I y) = d(NaN) + I d(NaN).
+ * Optionally raises the invalid floating-point exception for finite
+ * nonzero y. Choice = don't raise (except for signaling NaNs).
+ */
+ return CMPLX((x * x) * (y - y), (x + x) * (y - y));
+}
diff --git a/libc-top-half/musl/src/complex/csinhf.c b/libc-top-half/musl/src/complex/csinhf.c
new file mode 100644
index 0000000..eb1d98c
--- /dev/null
+++ b/libc-top-half/musl/src/complex/csinhf.c
@@ -0,0 +1,90 @@
+/* origin: FreeBSD /usr/src/lib/msun/src/s_csinhf.c */
+/*-
+ * Copyright (c) 2005 Bruce D. Evans and Steven G. Kargl
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice unmodified, this list of conditions, and the following
+ * disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+/*
+ * Hyperbolic sine of a complex argument z. See s_csinh.c for details.
+ */
+
+#include "complex_impl.h"
+
+static const float huge = 0x1p127;
+
+float complex csinhf(float complex z)
+{
+ float x, y, h;
+ int32_t hx, hy, ix, iy;
+
+ x = crealf(z);
+ y = cimagf(z);
+
+ GET_FLOAT_WORD(hx, x);
+ GET_FLOAT_WORD(hy, y);
+
+ ix = 0x7fffffff & hx;
+ iy = 0x7fffffff & hy;
+
+ if (ix < 0x7f800000 && iy < 0x7f800000) {
+ if (iy == 0)
+ return CMPLXF(sinhf(x), y);
+ if (ix < 0x41100000) /* small x: normal case */
+ return CMPLXF(sinhf(x) * cosf(y), coshf(x) * sinf(y));
+
+ /* |x| >= 9, so cosh(x) ~= exp(|x|) */
+ if (ix < 0x42b17218) {
+ /* x < 88.7: expf(|x|) won't overflow */
+ h = expf(fabsf(x)) * 0.5f;
+ return CMPLXF(copysignf(h, x) * cosf(y), h * sinf(y));
+ } else if (ix < 0x4340b1e7) {
+ /* x < 192.7: scale to avoid overflow */
+ z = __ldexp_cexpf(CMPLXF(fabsf(x), y), -1);
+ return CMPLXF(crealf(z) * copysignf(1, x), cimagf(z));
+ } else {
+ /* x >= 192.7: the result always overflows */
+ h = huge * x;
+ return CMPLXF(h * cosf(y), h * h * sinf(y));
+ }
+ }
+
+ if (ix == 0 && iy >= 0x7f800000)
+ return CMPLXF(copysignf(0, x * (y - y)), y - y);
+
+ if (iy == 0 && ix >= 0x7f800000) {
+ if ((hx & 0x7fffff) == 0)
+ return CMPLXF(x, y);
+ return CMPLXF(x, copysignf(0, y));
+ }
+
+ if (ix < 0x7f800000 && iy >= 0x7f800000)
+ return CMPLXF(y - y, x * (y - y));
+
+ if (ix >= 0x7f800000 && (hx & 0x7fffff) == 0) {
+ if (iy >= 0x7f800000)
+ return CMPLXF(x * x, x * (y - y));
+ return CMPLXF(x * cosf(y), INFINITY * sinf(y));
+ }
+
+ return CMPLXF((x * x) * (y - y), (x + x) * (y - y));
+}
diff --git a/libc-top-half/musl/src/complex/csinhl.c b/libc-top-half/musl/src/complex/csinhl.c
new file mode 100644
index 0000000..09fd18f
--- /dev/null
+++ b/libc-top-half/musl/src/complex/csinhl.c
@@ -0,0 +1,7 @@
+#include "complex_impl.h"
+
+//FIXME
+long double complex csinhl(long double complex z)
+{
+ return csinh(z);
+}
diff --git a/libc-top-half/musl/src/complex/csinl.c b/libc-top-half/musl/src/complex/csinl.c
new file mode 100644
index 0000000..90a4eb3
--- /dev/null
+++ b/libc-top-half/musl/src/complex/csinl.c
@@ -0,0 +1,14 @@
+#include "complex_impl.h"
+
+#if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024
+long double complex csinl(long double complex z)
+{
+ return csin(z);
+}
+#else
+long double complex csinl(long double complex z)
+{
+ z = csinhl(CMPLXL(-cimagl(z), creall(z)));
+ return CMPLXL(cimagl(z), -creall(z));
+}
+#endif
diff --git a/libc-top-half/musl/src/complex/csqrt.c b/libc-top-half/musl/src/complex/csqrt.c
new file mode 100644
index 0000000..c36de00
--- /dev/null
+++ b/libc-top-half/musl/src/complex/csqrt.c
@@ -0,0 +1,100 @@
+/* origin: FreeBSD /usr/src/lib/msun/src/s_csqrt.c */
+/*-
+ * Copyright (c) 2007 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include "complex_impl.h"
+
+/*
+ * gcc doesn't implement complex multiplication or division correctly,
+ * so we need to handle infinities specially. We turn on this pragma to
+ * notify conforming c99 compilers that the fast-but-incorrect code that
+ * gcc generates is acceptable, since the special cases have already been
+ * handled.
+ */
+#pragma STDC CX_LIMITED_RANGE ON
+
+/* We risk spurious overflow for components >= DBL_MAX / (1 + sqrt(2)). */
+#define THRESH 0x1.a827999fcef32p+1022
+
+double complex csqrt(double complex z)
+{
+ double complex result;
+ double a, b;
+ double t;
+ int scale;
+
+ a = creal(z);
+ b = cimag(z);
+
+ /* Handle special cases. */
+ if (z == 0)
+ return CMPLX(0, b);
+ if (isinf(b))
+ return CMPLX(INFINITY, b);
+ if (isnan(a)) {
+ t = (b - b) / (b - b); /* raise invalid if b is not a NaN */
+ return CMPLX(a, t); /* return NaN + NaN i */
+ }
+ if (isinf(a)) {
+ /*
+ * csqrt(inf + NaN i) = inf + NaN i
+ * csqrt(inf + y i) = inf + 0 i
+ * csqrt(-inf + NaN i) = NaN +- inf i
+ * csqrt(-inf + y i) = 0 + inf i
+ */
+ if (signbit(a))
+ return CMPLX(fabs(b - b), copysign(a, b));
+ else
+ return CMPLX(a, copysign(b - b, b));
+ }
+ /*
+ * The remaining special case (b is NaN) is handled just fine by
+ * the normal code path below.
+ */
+
+ /* Scale to avoid overflow. */
+ if (fabs(a) >= THRESH || fabs(b) >= THRESH) {
+ a *= 0.25;
+ b *= 0.25;
+ scale = 1;
+ } else {
+ scale = 0;
+ }
+
+ /* Algorithm 312, CACM vol 10, Oct 1967. */
+ if (a >= 0) {
+ t = sqrt((a + hypot(a, b)) * 0.5);
+ result = CMPLX(t, b / (2 * t));
+ } else {
+ t = sqrt((-a + hypot(a, b)) * 0.5);
+ result = CMPLX(fabs(b) / (2 * t), copysign(t, b));
+ }
+
+ /* Rescale. */
+ if (scale)
+ result *= 2;
+ return result;
+}
diff --git a/libc-top-half/musl/src/complex/csqrtf.c b/libc-top-half/musl/src/complex/csqrtf.c
new file mode 100644
index 0000000..a616397
--- /dev/null
+++ b/libc-top-half/musl/src/complex/csqrtf.c
@@ -0,0 +1,82 @@
+/* origin: FreeBSD /usr/src/lib/msun/src/s_csqrtf.c */
+/*-
+ * Copyright (c) 2007 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include "complex_impl.h"
+
+/*
+ * gcc doesn't implement complex multiplication or division correctly,
+ * so we need to handle infinities specially. We turn on this pragma to
+ * notify conforming c99 compilers that the fast-but-incorrect code that
+ * gcc generates is acceptable, since the special cases have already been
+ * handled.
+ */
+#pragma STDC CX_LIMITED_RANGE ON
+
+float complex csqrtf(float complex z)
+{
+ float a = crealf(z), b = cimagf(z);
+ double t;
+
+ /* Handle special cases. */
+ if (z == 0)
+ return CMPLXF(0, b);
+ if (isinf(b))
+ return CMPLXF(INFINITY, b);
+ if (isnan(a)) {
+ t = (b - b) / (b - b); /* raise invalid if b is not a NaN */
+ return CMPLXF(a, t); /* return NaN + NaN i */
+ }
+ if (isinf(a)) {
+ /*
+ * csqrtf(inf + NaN i) = inf + NaN i
+ * csqrtf(inf + y i) = inf + 0 i
+ * csqrtf(-inf + NaN i) = NaN +- inf i
+ * csqrtf(-inf + y i) = 0 + inf i
+ */
+ if (signbit(a))
+ return CMPLXF(fabsf(b - b), copysignf(a, b));
+ else
+ return CMPLXF(a, copysignf(b - b, b));
+ }
+ /*
+ * The remaining special case (b is NaN) is handled just fine by
+ * the normal code path below.
+ */
+
+ /*
+ * We compute t in double precision to avoid overflow and to
+ * provide correct rounding in nearly all cases.
+ * This is Algorithm 312, CACM vol 10, Oct 1967.
+ */
+ if (a >= 0) {
+ t = sqrt((a + hypot(a, b)) * 0.5);
+ return CMPLXF(t, b / (2.0 * t));
+ } else {
+ t = sqrt((-a + hypot(a, b)) * 0.5);
+ return CMPLXF(fabsf(b) / (2.0 * t), copysignf(t, b));
+ }
+}
diff --git a/libc-top-half/musl/src/complex/csqrtl.c b/libc-top-half/musl/src/complex/csqrtl.c
new file mode 100644
index 0000000..2253937
--- /dev/null
+++ b/libc-top-half/musl/src/complex/csqrtl.c
@@ -0,0 +1,7 @@
+#include "complex_impl.h"
+
+//FIXME
+long double complex csqrtl(long double complex z)
+{
+ return csqrt(z);
+}
diff --git a/libc-top-half/musl/src/complex/ctan.c b/libc-top-half/musl/src/complex/ctan.c
new file mode 100644
index 0000000..918717b
--- /dev/null
+++ b/libc-top-half/musl/src/complex/ctan.c
@@ -0,0 +1,9 @@
+#include "complex_impl.h"
+
+/* tan(z) = -i tanh(i z) */
+
+double complex ctan(double complex z)
+{
+ z = ctanh(CMPLX(-cimag(z), creal(z)));
+ return CMPLX(cimag(z), -creal(z));
+}
diff --git a/libc-top-half/musl/src/complex/ctanf.c b/libc-top-half/musl/src/complex/ctanf.c
new file mode 100644
index 0000000..04c3ff1
--- /dev/null
+++ b/libc-top-half/musl/src/complex/ctanf.c
@@ -0,0 +1,7 @@
+#include "complex_impl.h"
+
+float complex ctanf(float complex z)
+{
+ z = ctanhf(CMPLXF(-cimagf(z), crealf(z)));
+ return CMPLXF(cimagf(z), -crealf(z));
+}
diff --git a/libc-top-half/musl/src/complex/ctanh.c b/libc-top-half/musl/src/complex/ctanh.c
new file mode 100644
index 0000000..54004cd
--- /dev/null
+++ b/libc-top-half/musl/src/complex/ctanh.c
@@ -0,0 +1,129 @@
+/* origin: FreeBSD /usr/src/lib/msun/src/s_ctanh.c */
+/*-
+ * Copyright (c) 2011 David Schultz
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice unmodified, this list of conditions, and the following
+ * disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+/*
+ * Hyperbolic tangent of a complex argument z = x + i y.
+ *
+ * The algorithm is from:
+ *
+ * W. Kahan. Branch Cuts for Complex Elementary Functions or Much
+ * Ado About Nothing's Sign Bit. In The State of the Art in
+ * Numerical Analysis, pp. 165 ff. Iserles and Powell, eds., 1987.
+ *
+ * Method:
+ *
+ * Let t = tan(x)
+ * beta = 1/cos^2(y)
+ * s = sinh(x)
+ * rho = cosh(x)
+ *
+ * We have:
+ *
+ * tanh(z) = sinh(z) / cosh(z)
+ *
+ * sinh(x) cos(y) + i cosh(x) sin(y)
+ * = ---------------------------------
+ * cosh(x) cos(y) + i sinh(x) sin(y)
+ *
+ * cosh(x) sinh(x) / cos^2(y) + i tan(y)
+ * = -------------------------------------
+ * 1 + sinh^2(x) / cos^2(y)
+ *
+ * beta rho s + i t
+ * = ----------------
+ * 1 + beta s^2
+ *
+ * Modifications:
+ *
+ * I omitted the original algorithm's handling of overflow in tan(x) after
+ * verifying with nearpi.c that this can't happen in IEEE single or double
+ * precision. I also handle large x differently.
+ */
+
+#include "complex_impl.h"
+
+double complex ctanh(double complex z)
+{
+ double x, y;
+ double t, beta, s, rho, denom;
+ uint32_t hx, ix, lx;
+
+ x = creal(z);
+ y = cimag(z);
+
+ EXTRACT_WORDS(hx, lx, x);
+ ix = hx & 0x7fffffff;
+
+ /*
+ * ctanh(NaN + i 0) = NaN + i 0
+ *
+ * ctanh(NaN + i y) = NaN + i NaN for y != 0
+ *
+ * The imaginary part has the sign of x*sin(2*y), but there's no
+ * special effort to get this right.
+ *
+ * ctanh(+-Inf +- i Inf) = +-1 +- 0
+ *
+ * ctanh(+-Inf + i y) = +-1 + 0 sin(2y) for y finite
+ *
+ * The imaginary part of the sign is unspecified. This special
+ * case is only needed to avoid a spurious invalid exception when
+ * y is infinite.
+ */
+ if (ix >= 0x7ff00000) {
+ if ((ix & 0xfffff) | lx) /* x is NaN */
+ return CMPLX(x, (y == 0 ? y : x * y));
+ SET_HIGH_WORD(x, hx - 0x40000000); /* x = copysign(1, x) */
+ return CMPLX(x, copysign(0, isinf(y) ? y : sin(y) * cos(y)));
+ }
+
+ /*
+ * ctanh(+-0 + i NAN) = +-0 + i NaN
+ * ctanh(+-0 +- i Inf) = +-0 + i NaN
+ * ctanh(x + i NAN) = NaN + i NaN
+ * ctanh(x +- i Inf) = NaN + i NaN
+ */
+ if (!isfinite(y))
+ return CMPLX(x ? y - y : x, y - y);
+
+ /*
+ * ctanh(+-huge + i +-y) ~= +-1 +- i 2sin(2y)/exp(2x), using the
+ * approximation sinh^2(huge) ~= exp(2*huge) / 4.
+ * We use a modified formula to avoid spurious overflow.
+ */
+ if (ix >= 0x40360000) { /* x >= 22 */
+ double exp_mx = exp(-fabs(x));
+ return CMPLX(copysign(1, x), 4 * sin(y) * cos(y) * exp_mx * exp_mx);
+ }
+
+ /* Kahan's algorithm */
+ t = tan(y);
+ beta = 1.0 + t * t; /* = 1 / cos^2(y) */
+ s = sinh(x);
+ rho = sqrt(1 + s * s); /* = cosh(x) */
+ denom = 1 + beta * s * s;
+ return CMPLX((beta * rho * s) / denom, t / denom);
+}
diff --git a/libc-top-half/musl/src/complex/ctanhf.c b/libc-top-half/musl/src/complex/ctanhf.c
new file mode 100644
index 0000000..7f422ba
--- /dev/null
+++ b/libc-top-half/musl/src/complex/ctanhf.c
@@ -0,0 +1,66 @@
+/* origin: FreeBSD /usr/src/lib/msun/src/s_ctanhf.c */
+/*-
+ * Copyright (c) 2011 David Schultz
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice unmodified, this list of conditions, and the following
+ * disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+/*
+ * Hyperbolic tangent of a complex argument z. See s_ctanh.c for details.
+ */
+
+#include "complex_impl.h"
+
+float complex ctanhf(float complex z)
+{
+ float x, y;
+ float t, beta, s, rho, denom;
+ uint32_t hx, ix;
+
+ x = crealf(z);
+ y = cimagf(z);
+
+ GET_FLOAT_WORD(hx, x);
+ ix = hx & 0x7fffffff;
+
+ if (ix >= 0x7f800000) {
+ if (ix & 0x7fffff)
+ return CMPLXF(x, (y == 0 ? y : x * y));
+ SET_FLOAT_WORD(x, hx - 0x40000000);
+ return CMPLXF(x, copysignf(0, isinf(y) ? y : sinf(y) * cosf(y)));
+ }
+
+ if (!isfinite(y))
+ return CMPLXF(ix ? y - y : x, y - y);
+
+ if (ix >= 0x41300000) { /* x >= 11 */
+ float exp_mx = expf(-fabsf(x));
+ return CMPLXF(copysignf(1, x), 4 * sinf(y) * cosf(y) * exp_mx * exp_mx);
+ }
+
+ t = tanf(y);
+ beta = 1.0 + t * t;
+ s = sinhf(x);
+ rho = sqrtf(1 + s * s);
+ denom = 1 + beta * s * s;
+ return CMPLXF((beta * rho * s) / denom, t / denom);
+}
diff --git a/libc-top-half/musl/src/complex/ctanhl.c b/libc-top-half/musl/src/complex/ctanhl.c
new file mode 100644
index 0000000..45d5862
--- /dev/null
+++ b/libc-top-half/musl/src/complex/ctanhl.c
@@ -0,0 +1,7 @@
+#include "complex_impl.h"
+
+//FIXME
+long double complex ctanhl(long double complex z)
+{
+ return ctanh(z);
+}
diff --git a/libc-top-half/musl/src/complex/ctanl.c b/libc-top-half/musl/src/complex/ctanl.c
new file mode 100644
index 0000000..4b87420
--- /dev/null
+++ b/libc-top-half/musl/src/complex/ctanl.c
@@ -0,0 +1,14 @@
+#include "complex_impl.h"
+
+#if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024
+long double complex ctanl(long double complex z)
+{
+ return ctan(z);
+}
+#else
+long double complex ctanl(long double complex z)
+{
+ z = ctanhl(CMPLXL(-cimagl(z), creall(z)));
+ return CMPLXL(cimagl(z), -creall(z));
+}
+#endif