feat: add gzip and new headers

1 files changed, 188 insertions, 0 deletions

diff --git a/lib/libm/__complex.h b/lib/libm/__complex.h
new file mode 100644
index 00000000..10b22df9
--- /dev/null
+++ b/lib/libm/__complex.h
@@ -0,0 +1,188 @@
+#ifndef __LIBC_COMPLEX_H__
+#define __LIBC_COMPLEX_H__
+
+#include <math.h>
+#include <complex.h>
+
+typedef union {
+	float complex z;
+	struct {
+		float x, y;
+	} parts;
+} float_complex;
+
+typedef union {
+	double complex z;
+	struct {
+		double x, y;
+	} parts;
+} double_complex;
+
+typedef union {
+	long double complex z;
+	struct {
+		long double x, y;
+	} parts;
+} long_double_complex;
+
+#define M_IVLN10 (4.34294481903251816668e-01)
+#define M_PIL	 (3.14159265358979323846264338327950280e+00L)
+
+#define REAL_PART(z) ((z).parts.x)
+#define IMAG_PART(z) ((z).parts.y)
+
+static const long double DP1 = 3.14159265358979323829596852490908531763125L;
+static const long double DP2 = 1.6667485837041756656403424829301998703007e-19L;
+
+#define MACHEP	1.1e-16
+#define MACHEPF 3.0e-8f
+
+#ifndef __vax__
+static const long double DP3 = 1.8830410776607851167459095484560349402753e-39L;
+#define MACHEPL 1.1e-38L
+#else
+static const long double DP3 = 0L;
+#define MACHEPL 1.1e-19L
+#endif
+
+static void cchsh(double x, double *c, double *s)
+{
+	double e, ei;
+
+	if (fabs(x) <= 0.5) {
+		*c = cosh(x);
+		*s = sinh(x);
+	} else {
+		e = exp(x);
+		ei = 0.5 / e;
+		e = 0.5 * e;
+		*s = e - ei;
+		*c = e + ei;
+	}
+}
+
+static void cchshl(long double x, long double *c, long double *s)
+{
+	long double e, ei;
+
+	if (fabsl(x) <= 0.5L) {
+		*c = coshl(x);
+		*s = sinhl(x);
+	} else {
+		e = expl(x);
+		ei = 0.5L / e;
+		e = 0.5L * e;
+		*s = e - ei;
+		*c = e + ei;
+	}
+}
+
+static void cchshf(float x, float *c, float *s)
+{
+	float e, ei;
+
+	if (fabsf(x) <= 0.5f) {
+		*c = coshf(x);
+		*s = sinhf(x);
+	} else {
+		e = expf(x);
+		ei = 0.5f / e;
+		e = 0.5f * e;
+		*s = e - ei;
+		*c = e + ei;
+	}
+}
+
+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;
+	t = i;
+	t = ((x - t * DP1) - t * DP2) - t * DP3;
+	return t;
+}
+
+static float redupif(float x)
+{
+	float t;
+	long i;
+
+	t = x / (float)M_PI;
+	if (t >= 0.0f)
+		t += 0.5f;
+	else
+		t -= 0.5f;
+
+	i = t;
+	t = i;
+	t = ((x - t * DP1) - t * DP2) - t * DP3;
+	return t;
+}
+
+static long double redupil(long double x)
+{
+	long double t;
+	long long i;
+
+	t = x / M_PIL;
+	if (t >= 0.0L)
+		t += 0.5L;
+	else
+		t -= 0.5L;
+
+	i = t;
+	t = i;
+	return ((x - t * DP1) - t * DP2) - t * DP3;
+}
+
+static long double ctansl(long double complex z)
+{
+	long double f, x, x2, y, y2, rn, t;
+	long double d;
+
+	x = fabsl(2.0L * creall(z));
+	y = fabsl(2.0L * cimagl(z));
+
+	x = redupil(x);
+
+	x = x * x;
+	y = y * y;
+	x2 = 1.0L;
+	y2 = 1.0L;
+	f = 1.0L;
+	rn = 0.0L;
+	d = 0.0L;
+	do {
+		rn += 1.0L;
+		f *= rn;
+		rn += 1.0L;
+		f *= rn;
+		x2 *= x;
+		y2 *= y;
+		t = y2 + x2;
+		t /= f;
+		d += t;
+
+		rn += 1.0L;
+		f *= rn;
+		rn += 1.0L;
+		f *= rn;
+		x2 *= x;
+		y2 *= y;
+		t = y2 - x2;
+		t /= f;
+		d += t;
+	} while (fabsl(t / d) > MACHEPL);
+
+	return d;
+}
+
+#endif