complex: add C11 CMPLX macros and replace cpack with them

include/complex.h

@@ -112,6 +112,15 @@ long double creall(long double complex);
 #define cimagf(x) __CIMAG(x, float)
 #define cimagl(x) __CIMAG(x, long double)
 
+#define __CMPLX(x, y, t) \
+	((union { _Complex t __z; t __xy[2]; }){.__xy = {(x),(y)}}.__z)
+
+#if __STDC_VERSION__ >= 201112L
+#define CMPLX(x, y) __CMPLX(x, y, double)
+#define CMPLXF(x, y) __CMPLX(x, y, float)
+#define CMPLXL(x, y) __CMPLX(x, y, long double)
+#endif
+
 #ifdef __cplusplus
 }
 #endif

src/complex/__cexp.c

@@ -83,5 +83,5 @@ double complex __ldexp_cexp(double complex z, int expt)
 	half_expt = expt - half_expt;
 	INSERT_WORDS(scale2, (0x3ff + half_expt) << 20, 0);
 
-	return cpack(cos(y) * exp_x * scale1 * scale2, sin(y) * exp_x * scale1 * scale2);
+	return CMPLX(cos(y) * exp_x * scale1 * scale2, sin(y) * exp_x * scale1 * scale2);
 }

src/complex/__cexpf.c

@@ -63,6 +63,6 @@ float complex __ldexp_cexpf(float complex z, int expt)
 	half_expt = expt - half_expt;
 	SET_FLOAT_WORD(scale2, (0x7f + half_expt) << 23);
 
-	return cpackf(cosf(y) * exp_x * scale1 * scale2,
+	return CMPLXF(cosf(y) * exp_x * scale1 * scale2,
 	  sinf(y) * exp_x * scale1 * scale2);
 }

src/complex/cacos.c

@@ -7,5 +7,5 @@
 double complex cacos(double complex z)
 {
 	z = casin(z);
-	return cpack(M_PI_2 - creal(z), -cimag(z));
+	return CMPLX(M_PI_2 - creal(z), -cimag(z));
 }

src/complex/cacosf.c

@@ -5,5 +5,5 @@
 float complex cacosf(float complex z)
 {
 	z = casinf(z);
-	return cpackf((float)M_PI_2 - crealf(z), -cimagf(z));
+	return CMPLXF((float)M_PI_2 - crealf(z), -cimagf(z));
 }

src/complex/cacosh.c

@@ -5,5 +5,5 @@
 double complex cacosh(double complex z)
 {
 	z = cacos(z);
-	return cpack(-cimag(z), creal(z));
+	return CMPLX(-cimag(z), creal(z));
 }

src/complex/cacoshf.c

@@ -3,5 +3,5 @@
 float complex cacoshf(float complex z)
 {
 	z = cacosf(z);
-	return cpackf(-cimagf(z), crealf(z));
+	return CMPLXF(-cimagf(z), crealf(z));
 }

src/complex/cacoshl.c

@@ -9,6 +9,6 @@ long double complex cacoshl(long double complex z)
 long double complex cacoshl(long double complex z)
 {
 	z = cacosl(z);
-	return cpackl(-cimagl(z), creall(z));
+	return CMPLXL(-cimagl(z), creall(z));
 }
 #endif

src/complex/cacosl.c

@@ -11,6 +11,6 @@ long double complex cacosl(long double complex z)
 long double complex cacosl(long double complex z)
 {
 	z = casinl(z);
-	return cpackl(PI_2 - creall(z), -cimagl(z));
+	return CMPLXL(PI_2 - creall(z), -cimagl(z));
 }
 #endif

src/complex/casin.c

@@ -11,6 +11,6 @@ double complex casin(double complex z)
 
 	x = creal(z);
 	y = cimag(z);
-	w = cpack(1.0 - (x - y)*(x + y), -2.0*x*y);
+	w = CMPLX(1.0 - (x - y)*(x + y), -2.0*x*y);
-	return clog(cpack(-y, x) + csqrt(w));
+	return clog(CMPLX(-y, x) + csqrt(w));
 }

src/complex/casinf.c

@@ -9,6 +9,6 @@ float complex casinf(float complex z)
 
 	x = crealf(z);
 	y = cimagf(z);
-	w = cpackf(1.0 - (x - y)*(x + y), -2.0*x*y);
+	w = CMPLXF(1.0 - (x - y)*(x + y), -2.0*x*y);
-	return clogf(cpackf(-y, x) + csqrtf(w));
+	return clogf(CMPLXF(-y, x) + csqrtf(w));
 }

src/complex/casinh.c

@@ -4,6 +4,6 @@
 
 double complex casinh(double complex z)
 {
-	z = casin(cpack(-cimag(z), creal(z)));
+	z = casin(CMPLX(-cimag(z), creal(z)));
-	return cpack(cimag(z), -creal(z));
+	return CMPLX(cimag(z), -creal(z));
 }

src/complex/casinhf.c

@@ -2,6 +2,6 @@
 
 float complex casinhf(float complex z)
 {
-	z = casinf(cpackf(-cimagf(z), crealf(z)));
+	z = casinf(CMPLXF(-cimagf(z), crealf(z)));
-	return cpackf(cimagf(z), -crealf(z));
+	return CMPLXF(cimagf(z), -crealf(z));
 }

src/complex/casinhl.c

@@ -8,7 +8,7 @@ long double complex casinhl(long double complex z)
 #else
 long double complex casinhl(long double complex z)
 {
-	z = casinl(cpackl(-cimagl(z), creall(z)));
+	z = casinl(CMPLXL(-cimagl(z), creall(z)));
-	return cpackl(cimagl(z), -creall(z));
+	return CMPLXL(cimagl(z), -creall(z));
 }
 #endif

src/complex/casinl.c

@@ -14,7 +14,7 @@ long double complex casinl(long double complex z)
 
 	x = creall(z);
 	y = cimagl(z);
-	w = cpackl(1.0 - (x - y)*(x + y), -2.0*x*y);
+	w = CMPLXL(1.0 - (x - y)*(x + y), -2.0*x*y);
-	return clogl(cpackl(-y, x) + csqrtl(w));
+	return clogl(CMPLXL(-y, x) + csqrtl(w));
 }
 #endif

src/complex/catanh.c

@@ -4,6 +4,6 @@
 
 double complex catanh(double complex z)
 {
-	z = catan(cpack(-cimag(z), creal(z)));
+	z = catan(CMPLX(-cimag(z), creal(z)));
-	return cpack(cimag(z), -creal(z));
+	return CMPLX(cimag(z), -creal(z));
 }

src/complex/catanhf.c

@@ -2,6 +2,6 @@
 
 float complex catanhf(float complex z)
 {
-	z = catanf(cpackf(-cimagf(z), crealf(z)));
+	z = catanf(CMPLXF(-cimagf(z), crealf(z)));
-	return cpackf(cimagf(z), -crealf(z));
+	return CMPLXF(cimagf(z), -crealf(z));
 }

src/complex/catanhl.c

@@ -8,7 +8,7 @@ long double complex catanhl(long double complex z)
 #else
 long double complex catanhl(long double complex z)
 {
-	z = catanl(cpackl(-cimagl(z), creall(z)));
+	z = catanl(CMPLXL(-cimagl(z), creall(z)));
-	return cpackl(cimagl(z), -creall(z));
+	return CMPLXL(cimagl(z), -creall(z));
 }
 #endif

src/complex/ccos.c

@@ -4,5 +4,5 @@
 
 double complex ccos(double complex z)
 {
-	return ccosh(cpack(-cimag(z), creal(z)));
+	return ccosh(CMPLX(-cimag(z), creal(z)));
 }

src/complex/ccosf.c

@@ -2,5 +2,5 @@
 
 float complex ccosf(float complex z)
 {
-	return ccoshf(cpackf(-cimagf(z), crealf(z)));
+	return ccoshf(CMPLXF(-cimagf(z), crealf(z)));
 }

src/complex/ccosh.c

@@ -55,23 +55,23 @@ double complex ccosh(double complex z)
 	/* Handle the nearly-non-exceptional cases where x and y are finite. */
 	if (ix < 0x7ff00000 && iy < 0x7ff00000) {
 		if ((iy | ly) == 0)
-			return cpack(cosh(x), x * y);
+			return CMPLX(cosh(x), x * y);
 		if (ix < 0x40360000)    /* small x: normal case */
-			return cpack(cosh(x) * cos(y), sinh(x) * sin(y));
+			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 cpack(h * cos(y), copysign(h, x) * sin(y));
+			return CMPLX(h * cos(y), copysign(h, x) * sin(y));
 		} else if (ix < 0x4096bbaa) {
 			/* x < 1455: scale to avoid overflow */
-			z = __ldexp_cexp(cpack(fabs(x), y), -1);
+			z = __ldexp_cexp(CMPLX(fabs(x), y), -1);
-			return cpack(creal(z), cimag(z) * copysign(1, x));
+			return CMPLX(creal(z), cimag(z) * copysign(1, x));
 		} else {
 			/* x >= 1455: the result always overflows */
 			h = huge * x;
-			return cpack(h * h * cos(y), h * sin(y));
+			return CMPLX(h * h * cos(y), h * sin(y));
 		}
 	}
 
@@ -85,7 +85,7 @@ double complex ccosh(double complex z)
 	 * the same as d(NaN).
 	 */
 	if ((ix | lx) == 0 && iy >= 0x7ff00000)
-		return cpack(y - y, copysign(0, x * (y - y)));
+		return CMPLX(y - y, copysign(0, x * (y - y)));
 
 	/*
 	 * cosh(+-Inf +- I 0) = +Inf + I (+-)(+-)0.
@@ -95,8 +95,8 @@ double complex ccosh(double complex z)
 	 */
 	if ((iy | ly) == 0 && ix >= 0x7ff00000) {
 		if (((hx & 0xfffff) | lx) == 0)
-			return cpack(x * x, copysign(0, x) * y);
+			return CMPLX(x * x, copysign(0, x) * y);
-		return cpack(x * x, copysign(0, (x + x) * y));
+		return CMPLX(x * x, copysign(0, (x + x) * y));
 	}
 
 	/*
@@ -108,7 +108,7 @@ double complex ccosh(double complex z)
 	 * nonzero x.  Choice = don't raise (except for signaling NaNs).
 	 */
 	if (ix < 0x7ff00000 && iy >= 0x7ff00000)
-		return cpack(y - y, x * (y - y));
+		return CMPLX(y - y, x * (y - y));
 
 	/*
 	 * cosh(+-Inf + I NaN)  = +Inf + I d(NaN).
@@ -121,8 +121,8 @@ double complex ccosh(double complex z)
 	 */
 	if (ix >= 0x7ff00000 && ((hx & 0xfffff) | lx) == 0) {
 		if (iy >= 0x7ff00000)
-			return cpack(x * x, x * (y - y));
+			return CMPLX(x * x, x * (y - y));
-		return cpack((x * x) * cos(y), x * sin(y));
+		return CMPLX((x * x) * cos(y), x * sin(y));
 	}
 
 	/*
@@ -136,5 +136,5 @@ double complex ccosh(double complex z)
 	 * Optionally raises the invalid floating-point exception for finite
 	 * nonzero y.  Choice = don't raise (except for signaling NaNs).
 	 */
-	return cpack((x * x) * (y - y), (x + x) * (y - y));
+	return CMPLX((x * x) * (y - y), (x + x) * (y - y));
 }

src/complex/ccoshf.c

@@ -48,43 +48,43 @@ float complex ccoshf(float complex z)
 
 	if (ix < 0x7f800000 && iy < 0x7f800000) {
 		if (iy == 0)
-			return cpackf(coshf(x), x * y);
+			return CMPLXF(coshf(x), x * y);
 		if (ix < 0x41100000)    /* small x: normal case */
-			return cpackf(coshf(x) * cosf(y), sinhf(x) * sinf(y));
+			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 cpackf(h * cosf(y), copysignf(h, x) * sinf(y));
+			return CMPLXF(h * cosf(y), copysignf(h, x) * sinf(y));
 		} else if (ix < 0x4340b1e7) {
 			/* x < 192.7: scale to avoid overflow */
-			z = __ldexp_cexpf(cpackf(fabsf(x), y), -1);
+			z = __ldexp_cexpf(CMPLXF(fabsf(x), y), -1);
-			return cpackf(crealf(z), cimagf(z) * copysignf(1, x));
+			return CMPLXF(crealf(z), cimagf(z) * copysignf(1, x));
 		} else {
 			/* x >= 192.7: the result always overflows */
 			h = huge * x;
-			return cpackf(h * h * cosf(y), h * sinf(y));
+			return CMPLXF(h * h * cosf(y), h * sinf(y));
 		}
 	}
 
 	if (ix == 0 && iy >= 0x7f800000)
-		return cpackf(y - y, copysignf(0, x * (y - y)));
+		return CMPLXF(y - y, copysignf(0, x * (y - y)));
 
 	if (iy == 0 && ix >= 0x7f800000) {
 		if ((hx & 0x7fffff) == 0)
-			return cpackf(x * x, copysignf(0, x) * y);
+			return CMPLXF(x * x, copysignf(0, x) * y);
-		return cpackf(x * x, copysignf(0, (x + x) * y));
+		return CMPLXF(x * x, copysignf(0, (x + x) * y));
 	}
 
 	if (ix < 0x7f800000 && iy >= 0x7f800000)
-		return cpackf(y - y, x * (y - y));
+		return CMPLXF(y - y, x * (y - y));
 
 	if (ix >= 0x7f800000 && (hx & 0x7fffff) == 0) {
 		if (iy >= 0x7f800000)
-			return cpackf(x * x, x * (y - y));
+			return CMPLXF(x * x, x * (y - y));
-		return cpackf((x * x) * cosf(y), x * sinf(y));
+		return CMPLXF((x * x) * cosf(y), x * sinf(y));
 	}
 
-	return cpackf((x * x) * (y - y), (x + x) * (y - y));
+	return CMPLXF((x * x) * (y - y), (x + x) * (y - y));
 }

src/complex/ccosl.c

@@ -8,6 +8,6 @@ long double complex ccosl(long double complex z)
 #else
 long double complex ccosl(long double complex z)
 {
-	return ccoshl(cpackl(-cimagl(z), creall(z)));
+	return ccoshl(CMPLXL(-cimagl(z), creall(z)));
 }
 #endif

src/complex/cexp.c

@@ -44,22 +44,22 @@ double complex cexp(double complex z)
 
 	/* cexp(x + I 0) = exp(x) + I 0 */
 	if ((hy | ly) == 0)
-		return cpack(exp(x), y);
+		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 cpack(cos(y), sin(y));
+		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 cpack(y - y, y - y);
+			return CMPLX(y - y, y - y);
 		} else if (hx & 0x80000000) {
 			/* cexp(-Inf +- I Inf|NaN) = 0 + I 0 */
-			return cpack(0.0, 0.0);
+			return CMPLX(0.0, 0.0);
 		} else {
 			/* cexp(+Inf +- I Inf|NaN) = Inf + I NaN */
-			return cpack(x, y - y);
+			return CMPLX(x, y - y);
 		}
 	}
 
@@ -78,6 +78,6 @@ double complex cexp(double complex z)
 		 *  -  x = NaN (spurious inexact exception from y)
 		 */
 		exp_x = exp(x);
-		return cpack(exp_x * cos(y), exp_x * sin(y));
+		return CMPLX(exp_x * cos(y), exp_x * sin(y));
 	}
 }

src/complex/cexpf.c

@@ -44,22 +44,22 @@ float complex cexpf(float complex z)
 
 	/* cexp(x + I 0) = exp(x) + I 0 */
 	if (hy == 0)
-		return cpackf(expf(x), y);
+		return CMPLXF(expf(x), y);
 	GET_FLOAT_WORD(hx, x);
 	/* cexp(0 + I y) = cos(y) + I sin(y) */
 	if ((hx & 0x7fffffff) == 0)
-		return cpackf(cosf(y), sinf(y));
+		return CMPLXF(cosf(y), sinf(y));
 
 	if (hy >= 0x7f800000) {
 		if ((hx & 0x7fffffff) != 0x7f800000) {
 			/* cexp(finite|NaN +- I Inf|NaN) = NaN + I NaN */
-			return cpackf(y - y, y - y);
+			return CMPLXF(y - y, y - y);
 		} else if (hx & 0x80000000) {
 			/* cexp(-Inf +- I Inf|NaN) = 0 + I 0 */
-			return cpackf(0.0, 0.0);
+			return CMPLXF(0.0, 0.0);
 		} else {
 			/* cexp(+Inf +- I Inf|NaN) = Inf + I NaN */
-			return cpackf(x, y - y);
+			return CMPLXF(x, y - y);
 		}
 	}
 
@@ -78,6 +78,6 @@ float complex cexpf(float complex z)
 		 *  -  x = NaN (spurious inexact exception from y)
 		 */
 		exp_x = expf(x);
-		return cpackf(exp_x * cosf(y), exp_x * sinf(y));
+		return CMPLXF(exp_x * cosf(y), exp_x * sinf(y));
 	}
 }

src/complex/clog.c

@@ -10,5 +10,5 @@ double complex clog(double complex z)
 
 	r = cabs(z);
 	phi = carg(z);
-	return cpack(log(r), phi);
+	return CMPLX(log(r), phi);
 }

src/complex/clogf.c

@@ -8,5 +8,5 @@ float complex clogf(float complex z)
 
 	r = cabsf(z);
 	phi = cargf(z);
-	return cpackf(logf(r), phi);
+	return CMPLXF(logf(r), phi);
 }

src/complex/clogl.c

@@ -13,6 +13,6 @@ long double complex clogl(long double complex z)
 
 	r = cabsl(z);
 	phi = cargl(z);
-	return cpackl(logl(r), phi);
+	return CMPLXL(logl(r), phi);
 }
 #endif

src/complex/conj.c

@@ -2,5 +2,5 @@
 
 double complex conj(double complex z)
 {
-	return cpack(creal(z), -cimag(z));
+	return CMPLX(creal(z), -cimag(z));
 }

src/complex/conjf.c

@@ -2,5 +2,5 @@
 
 float complex conjf(float complex z)
 {
-	return cpackf(crealf(z), -cimagf(z));
+	return CMPLXF(crealf(z), -cimagf(z));
 }

src/complex/conjl.c

@@ -2,5 +2,5 @@
 
 long double complex conjl(long double complex z)
 {
-	return cpackl(creall(z), -cimagl(z));
+	return CMPLXL(creall(z), -cimagl(z));
 }

src/complex/cproj.c

@@ -3,6 +3,6 @@
 double complex cproj(double complex z)
 {
 	if (isinf(creal(z)) || isinf(cimag(z)))
-		return cpack(INFINITY, copysign(0.0, creal(z)));
+		return CMPLX(INFINITY, copysign(0.0, creal(z)));
 	return z;
 }

src/complex/cprojf.c

@@ -3,6 +3,6 @@
 float complex cprojf(float complex z)
 {
 	if (isinf(crealf(z)) || isinf(cimagf(z)))
-		return cpackf(INFINITY, copysignf(0.0, crealf(z)));
+		return CMPLXF(INFINITY, copysignf(0.0, crealf(z)));
 	return z;
 }

src/complex/cprojl.c

@@ -9,7 +9,7 @@ long double complex cprojl(long double complex z)
 long double complex cprojl(long double complex z)
 {
 	if (isinf(creall(z)) || isinf(cimagl(z)))
-		return cpackl(INFINITY, copysignl(0.0, creall(z)));
+		return CMPLXL(INFINITY, copysignl(0.0, creall(z)));
 	return z;
 }
 #endif

src/complex/csin.c

@@ -4,6 +4,6 @@
 
 double complex csin(double complex z)
 {
-	z = csinh(cpack(-cimag(z), creal(z)));
+	z = csinh(CMPLX(-cimag(z), creal(z)));
-	return cpack(cimag(z), -creal(z));
+	return CMPLX(cimag(z), -creal(z));
 }

src/complex/csinf.c

@@ -2,6 +2,6 @@
 
 float complex csinf(float complex z)
 {
-	z = csinhf(cpackf(-cimagf(z), crealf(z)));
+	z = csinhf(CMPLXF(-cimagf(z), crealf(z)));
-	return cpackf(cimagf(z), -crealf(z));
+	return CMPLXF(cimagf(z), -crealf(z));
 }

src/complex/csinh.c

@@ -55,23 +55,23 @@ double complex csinh(double complex z)
 	/* Handle the nearly-non-exceptional cases where x and y are finite. */
 	if (ix < 0x7ff00000 && iy < 0x7ff00000) {
 		if ((iy | ly) == 0)
-			return cpack(sinh(x), y);
+			return CMPLX(sinh(x), y);
 		if (ix < 0x40360000)    /* small x: normal case */
-			return cpack(sinh(x) * cos(y), cosh(x) * sin(y));
+			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 cpack(copysign(h, x) * cos(y), h * sin(y));
+			return CMPLX(copysign(h, x) * cos(y), h * sin(y));
 		} else if (ix < 0x4096bbaa) {
 			/* x < 1455: scale to avoid overflow */
-			z = __ldexp_cexp(cpack(fabs(x), y), -1);
+			z = __ldexp_cexp(CMPLX(fabs(x), y), -1);
-			return cpack(creal(z) * copysign(1, x), cimag(z));
+			return CMPLX(creal(z) * copysign(1, x), cimag(z));
 		} else {
 			/* x >= 1455: the result always overflows */
 			h = huge * x;
-			return cpack(h * cos(y), h * h * sin(y));
+			return CMPLX(h * cos(y), h * h * sin(y));
 		}
 	}
 
@@ -85,7 +85,7 @@ double complex csinh(double complex z)
 	 * the same as d(NaN).
 	 */
 	if ((ix | lx) == 0 && iy >= 0x7ff00000)
-		return cpack(copysign(0, x * (y - y)), y - y);
+		return CMPLX(copysign(0, x * (y - y)), y - y);
 
 	/*
 	 * sinh(+-Inf +- I 0) = +-Inf + I +-0.
@@ -94,8 +94,8 @@ double complex csinh(double complex z)
 	 */
 	if ((iy | ly) == 0 && ix >= 0x7ff00000) {
 		if (((hx & 0xfffff) | lx) == 0)
-			return cpack(x, y);
+			return CMPLX(x, y);
-		return cpack(x, copysign(0, y));
+		return CMPLX(x, copysign(0, y));
 	}
 
 	/*
@@ -107,7 +107,7 @@ double complex csinh(double complex z)
 	 * nonzero x.  Choice = don't raise (except for signaling NaNs).
 	 */
 	if (ix < 0x7ff00000 && iy >= 0x7ff00000)
-		return cpack(y - y, x * (y - y));
+		return CMPLX(y - y, x * (y - y));
 
 	/*
 	 * sinh(+-Inf + I NaN)  = +-Inf + I d(NaN).
@@ -122,8 +122,8 @@ double complex csinh(double complex z)
 	 */
 	if (ix >= 0x7ff00000 && ((hx & 0xfffff) | lx) == 0) {
 		if (iy >= 0x7ff00000)
-			return cpack(x * x, x * (y - y));
+			return CMPLX(x * x, x * (y - y));
-		return cpack(x * cos(y), INFINITY * sin(y));
+		return CMPLX(x * cos(y), INFINITY * sin(y));
 	}
 
 	/*
@@ -137,5 +137,5 @@ double complex csinh(double complex z)
 	 * Optionally raises the invalid floating-point exception for finite
 	 * nonzero y.  Choice = don't raise (except for signaling NaNs).
 	 */
-	return cpack((x * x) * (y - y), (x + x) * (y - y));
+	return CMPLX((x * x) * (y - y), (x + x) * (y - y));
 }

src/complex/csinhf.c

@@ -48,43 +48,43 @@ float complex csinhf(float complex z)
 
 	if (ix < 0x7f800000 && iy < 0x7f800000) {
 		if (iy == 0)
-			return cpackf(sinhf(x), y);
+			return CMPLXF(sinhf(x), y);
 		if (ix < 0x41100000)    /* small x: normal case */
-			return cpackf(sinhf(x) * cosf(y), coshf(x) * sinf(y));
+			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 cpackf(copysignf(h, x) * cosf(y), h * sinf(y));
+			return CMPLXF(copysignf(h, x) * cosf(y), h * sinf(y));
 		} else if (ix < 0x4340b1e7) {
 			/* x < 192.7: scale to avoid overflow */
-			z = __ldexp_cexpf(cpackf(fabsf(x), y), -1);
+			z = __ldexp_cexpf(CMPLXF(fabsf(x), y), -1);
-			return cpackf(crealf(z) * copysignf(1, x), cimagf(z));
+			return CMPLXF(crealf(z) * copysignf(1, x), cimagf(z));
 		} else {
 			/* x >= 192.7: the result always overflows */
 			h = huge * x;
-			return cpackf(h * cosf(y), h * h * sinf(y));
+			return CMPLXF(h * cosf(y), h * h * sinf(y));
 		}
 	}
 
 	if (ix == 0 && iy >= 0x7f800000)
-		return cpackf(copysignf(0, x * (y - y)), y - y);
+		return CMPLXF(copysignf(0, x * (y - y)), y - y);
 
 	if (iy == 0 && ix >= 0x7f800000) {
 		if ((hx & 0x7fffff) == 0)
-			return cpackf(x, y);
+			return CMPLXF(x, y);
-		return cpackf(x, copysignf(0, y));
+		return CMPLXF(x, copysignf(0, y));
 	}
 
 	if (ix < 0x7f800000 && iy >= 0x7f800000)
-		return cpackf(y - y, x * (y - y));
+		return CMPLXF(y - y, x * (y - y));
 
 	if (ix >= 0x7f800000 && (hx & 0x7fffff) == 0) {
 		if (iy >= 0x7f800000)
-			return cpackf(x * x, x * (y - y));
+			return CMPLXF(x * x, x * (y - y));
-		return cpackf(x * cosf(y), INFINITY * sinf(y));
+		return CMPLXF(x * cosf(y), INFINITY * sinf(y));
 	}
 
-	return cpackf((x * x) * (y - y), (x + x) * (y - y));
+	return CMPLXF((x * x) * (y - y), (x + x) * (y - y));
 }

src/complex/csinl.c

@@ -8,7 +8,7 @@ long double complex csinl(long double complex z)
 #else
 long double complex csinl(long double complex z)
 {
-	z = csinhl(cpackl(-cimagl(z), creall(z)));
+	z = csinhl(CMPLXL(-cimagl(z), creall(z)));
-	return cpackl(cimagl(z), -creall(z));
+	return CMPLXL(cimagl(z), -creall(z));
 }
 #endif

src/complex/csqrt.c

@@ -51,12 +51,12 @@ double complex csqrt(double complex z)
 
 	/* Handle special cases. */
 	if (z == 0)
-		return cpack(0, b);
+		return CMPLX(0, b);
 	if (isinf(b))
-		return cpack(INFINITY, b);
+		return CMPLX(INFINITY, b);
 	if (isnan(a)) {
 		t = (b - b) / (b - b);  /* raise invalid if b is not a NaN */
-		return cpack(a, t);   /* return NaN + NaN i */
+		return CMPLX(a, t);   /* return NaN + NaN i */
 	}
 	if (isinf(a)) {
 		/*
@@ -66,9 +66,9 @@ double complex csqrt(double complex z)
 		 * csqrt(-inf + y i)   = 0   +  inf i
 		 */
 		if (signbit(a))
-			return cpack(fabs(b - b), copysign(a, b));
+			return CMPLX(fabs(b - b), copysign(a, b));
 		else
-			return cpack(a, copysign(b - b, b));
+			return CMPLX(a, copysign(b - b, b));
 	}
 	/*
 	 * The remaining special case (b is NaN) is handled just fine by
@@ -87,10 +87,10 @@ double complex csqrt(double complex z)
 	/* Algorithm 312, CACM vol 10, Oct 1967. */
 	if (a >= 0) {
 		t = sqrt((a + hypot(a, b)) * 0.5);
-		result = cpack(t, b / (2 * t));
+		result = CMPLX(t, b / (2 * t));
 	} else {
 		t = sqrt((-a + hypot(a, b)) * 0.5);
-		result = cpack(fabs(b) / (2 * t), copysign(t, b));
+		result = CMPLX(fabs(b) / (2 * t), copysign(t, b));
 	}
 
 	/* Rescale. */

src/complex/csqrtf.c

@@ -43,12 +43,12 @@ float complex csqrtf(float complex z)
 
 	/* Handle special cases. */
 	if (z == 0)
-		return cpackf(0, b);
+		return CMPLXF(0, b);
 	if (isinf(b))
-		return cpackf(INFINITY, b);
+		return CMPLXF(INFINITY, b);
 	if (isnan(a)) {
 		t = (b - b) / (b - b);  /* raise invalid if b is not a NaN */
-		return cpackf(a, t);  /* return NaN + NaN i */
+		return CMPLXF(a, t);  /* return NaN + NaN i */
 	}
 	if (isinf(a)) {
 		/*
@@ -58,9 +58,9 @@ float complex csqrtf(float complex z)
 		 * csqrtf(-inf + y i)   = 0   +  inf i
 		 */
 		if (signbit(a))
-			return cpackf(fabsf(b - b), copysignf(a, b));
+			return CMPLXF(fabsf(b - b), copysignf(a, b));
 		else
-			return cpackf(a, copysignf(b - b, b));
+			return CMPLXF(a, copysignf(b - b, b));
 	}
 	/*
 	 * The remaining special case (b is NaN) is handled just fine by
@@ -74,9 +74,9 @@ float complex csqrtf(float complex z)
 	 */
 	if (a >= 0) {
 		t = sqrt((a + hypot(a, b)) * 0.5);
-		return cpackf(t, b / (2.0 * t));
+		return CMPLXF(t, b / (2.0 * t));
 	} else {
 		t = sqrt((-a + hypot(a, b)) * 0.5);
-		return cpackf(fabsf(b) / (2.0 * t), copysignf(t, b));
+		return CMPLXF(fabsf(b) / (2.0 * t), copysignf(t, b));
 	}
 }

src/complex/ctan.c

@@ -4,6 +4,6 @@
 
 double complex ctan(double complex z)
 {
-	z = ctanh(cpack(-cimag(z), creal(z)));
+	z = ctanh(CMPLX(-cimag(z), creal(z)));
-	return cpack(cimag(z), -creal(z));
+	return CMPLX(cimag(z), -creal(z));
 }

src/complex/ctanf.c

@@ -2,6 +2,6 @@
 
 float complex ctanf(float complex z)
 {
-	z = ctanhf(cpackf(-cimagf(z), crealf(z)));
+	z = ctanhf(CMPLXF(-cimagf(z), crealf(z)));
-	return cpackf(cimagf(z), -crealf(z));
+	return CMPLXF(cimagf(z), -crealf(z));
 }

src/complex/ctanh.c

@@ -95,9 +95,9 @@ double complex ctanh(double complex z)
 	 */
 	if (ix >= 0x7ff00000) {
 		if ((ix & 0xfffff) | lx)        /* x is NaN */
-			return cpack(x, (y == 0 ? y : x * y));
+			return CMPLX(x, (y == 0 ? y : x * y));
 		SET_HIGH_WORD(x, hx - 0x40000000);      /* x = copysign(1, x) */
-		return cpack(x, copysign(0, isinf(y) ? y : sin(y) * cos(y)));
+		return CMPLX(x, copysign(0, isinf(y) ? y : sin(y) * cos(y)));
 	}
 
 	/*
@@ -105,7 +105,7 @@ double complex ctanh(double complex z)
 	 * ctanh(x +- i Inf) = NaN + i NaN
 	 */
 	if (!isfinite(y))
-		return cpack(y - y, y - y);
+		return CMPLX(y - y, y - y);
 
 	/*
 	 * ctanh(+-huge + i +-y) ~= +-1 +- i 2sin(2y)/exp(2x), using the
@@ -114,7 +114,7 @@ double complex ctanh(double complex z)
 	 */
 	if (ix >= 0x40360000) { /* x >= 22 */
 		double exp_mx = exp(-fabs(x));
-		return cpack(copysign(1, x), 4 * sin(y) * cos(y) * exp_mx * exp_mx);
+		return CMPLX(copysign(1, x), 4 * sin(y) * cos(y) * exp_mx * exp_mx);
 	}
 
 	/* Kahan's algorithm */
@@ -123,5 +123,5 @@ double complex ctanh(double complex z)
 	s = sinh(x);
 	rho = sqrt(1 + s * s);  /* = cosh(x) */
 	denom = 1 + beta * s * s;
-	return cpack((beta * rho * s) / denom, t / denom);
+	return CMPLX((beta * rho * s) / denom, t / denom);
 }

src/complex/ctanhf.c

@@ -44,17 +44,17 @@ float complex ctanhf(float complex z)
 
 	if (ix >= 0x7f800000) {
 		if (ix & 0x7fffff)
-			return cpackf(x, (y == 0 ? y : x * y));
+			return CMPLXF(x, (y == 0 ? y : x * y));
 		SET_FLOAT_WORD(x, hx - 0x40000000);
-		return cpackf(x, copysignf(0, isinf(y) ? y : sinf(y) * cosf(y)));
+		return CMPLXF(x, copysignf(0, isinf(y) ? y : sinf(y) * cosf(y)));
 	}
 
 	if (!isfinite(y))
-		return cpackf(y - y, y - y);
+		return CMPLXF(y - y, y - y);
 
 	if (ix >= 0x41300000) { /* x >= 11 */
 		float exp_mx = expf(-fabsf(x));
-		return cpackf(copysignf(1, x), 4 * sinf(y) * cosf(y) * exp_mx * exp_mx);
+		return CMPLXF(copysignf(1, x), 4 * sinf(y) * cosf(y) * exp_mx * exp_mx);
 	}
 
 	t = tanf(y);
@@ -62,5 +62,5 @@ float complex ctanhf(float complex z)
 	s = sinhf(x);
 	rho = sqrtf(1 + s * s);
 	denom = 1 + beta * s * s;
-	return cpackf((beta * rho * s) / denom, t / denom);
+	return CMPLXF((beta * rho * s) / denom, t / denom);
 }

src/complex/ctanl.c

@@ -8,7 +8,7 @@ long double complex ctanl(long double complex z)
 #else
 long double complex ctanl(long double complex z)
 {
-	z = ctanhl(cpackl(-cimagl(z), creall(z)));
+	z = ctanhl(CMPLXL(-cimagl(z), creall(z)));
-	return cpackl(cimagl(z), -creall(z));
+	return CMPLXL(cimagl(z), -creall(z));
 }
 #endif

src/internal/libm.h

@@ -170,25 +170,12 @@ long double __p1evll(long double, const long double *, int);
 #define STRICT_ASSIGN(type, lval, rval) ((lval) = (type)(rval))
 #endif
 
-
 /* complex */
 
-union dcomplex {
+#ifndef CMPLX
-	double complex z;
+#define CMPLX(x, y) __CMPLX(x, y, double)
-	double a[2];
+#define CMPLXF(x, y) __CMPLX(x, y, float)
-};
+#define CMPLXL(x, y) __CMPLX(x, y, long double)
-union fcomplex {
+#endif
-	float complex z;
-	float a[2];
-};
-union lcomplex {
-	long double complex z;
-	long double a[2];
-};
-
-/* x + y*I is not supported properly by gcc */
-#define cpack(x,y) ((union dcomplex){.a={(x),(y)}}.z)
-#define cpackf(x,y) ((union fcomplex){.a={(x),(y)}}.z)
-#define cpackl(x,y) ((union lcomplex){.a={(x),(y)}}.z)
 
 #endif