#define NULL ((void *)0)
typedef unsigned long size_t; // Customize by platform.
typedef long intptr_t;
typedef unsigned long uintptr_t;
typedef long scalar_t__; // Either arithmetic or pointer type.
/* By default, we understand bool (as a convenience). */
typedef int bool;
#define false 0
#define true 1

/* Forward declarations */

/* Type definitions */

/* Variables and functions */
double cos(double);
double sin(double);
double sqrt(double);
double along_theta(double theta, double phi, double d_obs) {
  double num, den;
  double in_theta;
  num = d_obs * cos(theta) * cos(phi);
  den = sqrt(d_obs * d_obs + 696000000.0 * 696000000.0 -
             2.0 * 696000000.0 * d_obs * sin(theta) * cos(phi));
  in_theta = num / den;
  return in_theta;
}


x86 assembly (clang, -O0):
<along_theta>:
push   %rbp
mov    %rsp,%rbp
sub    $0x60,%rsp
movsd  %xmm0,-0x8(%rbp)
movsd  %xmm1,-0x10(%rbp)
movsd  %xmm2,-0x18(%rbp)
movsd  -0x18(%rbp),%xmm0
movsd  %xmm0,-0x58(%rbp)
movsd  -0x8(%rbp),%xmm0
call   1040 <cos@plt>
movaps %xmm0,%xmm1
movsd  -0x58(%rbp),%xmm0
mulsd  %xmm1,%xmm0
movsd  %xmm0,-0x50(%rbp)
movsd  -0x10(%rbp),%xmm0
call   1040 <cos@plt>
movaps %xmm0,%xmm1
movsd  -0x50(%rbp),%xmm0
mulsd  %xmm1,%xmm0
movsd  %xmm0,-0x20(%rbp)
movsd  -0x18(%rbp),%xmm0
movsd  -0x18(%rbp),%xmm1
mulsd  %xmm1,%xmm0
movsd  0xe6b(%rip),%xmm1
addsd  %xmm1,%xmm0
movsd  %xmm0,-0x40(%rbp)
movsd  0xe52(%rip),%xmm0
mulsd  -0x18(%rbp),%xmm0
movsd  %xmm0,-0x48(%rbp)
movsd  -0x8(%rbp),%xmm0
call   1030 <sin@plt>
movaps %xmm0,%xmm1
movsd  -0x48(%rbp),%xmm0
mulsd  %xmm1,%xmm0
movsd  %xmm0,-0x38(%rbp)
movsd  -0x10(%rbp),%xmm0
call   1040 <cos@plt>
movsd  -0x40(%rbp),%xmm1
movaps %xmm0,%xmm2
movsd  -0x38(%rbp),%xmm0
movq   %xmm0,%rax
movabs $0x8000000000000000,%rcx
xor    %rcx,%rax
movq   %rax,%xmm0
mulsd  %xmm2,%xmm0
addsd  %xmm1,%xmm0
call   1050 <sqrt@plt>
movsd  %xmm0,-0x28(%rbp)
movsd  -0x20(%rbp),%xmm0
divsd  -0x28(%rbp),%xmm0
movsd  %xmm0,-0x30(%rbp)
movsd  -0x30(%rbp),%xmm0
add    $0x60,%rsp
pop    %rbp
ret

x86 assembly (clang, -O2):
<along_theta>:
sub    $0x28,%rsp
movsd  %xmm2,0x10(%rsp)
movsd  %xmm1,0x18(%rsp)
movsd  %xmm0,(%rsp)
call   1040 <cos@plt>
mulsd  0x10(%rsp),%xmm0
movsd  %xmm0,0x8(%rsp)
movsd  0x18(%rsp),%xmm0
call   1040 <cos@plt>
mulsd  0x8(%rsp),%xmm0
movsd  %xmm0,0x8(%rsp)
movsd  0x10(%rsp),%xmm0
mulsd  %xmm0,%xmm0
addsd  0xe81(%rip),%xmm0
movsd  %xmm0,0x20(%rsp)
movsd  (%rsp),%xmm0
call   1030 <sin@plt>
movsd  %xmm0,(%rsp)
movsd  0x18(%rsp),%xmm0
call   1040 <cos@plt>
movsd  0x10(%rsp),%xmm1
mulsd  0xe5b(%rip),%xmm1
mulsd  (%rsp),%xmm1
mulsd  %xmm0,%xmm1
addsd  0x20(%rsp),%xmm1
xorpd  %xmm0,%xmm0
ucomisd %xmm0,%xmm1
jb     11cf <along_theta+0x9f>
xorps  %xmm0,%xmm0
sqrtsd %xmm1,%xmm0
jmp    11d8 <along_theta+0xa8>
movapd %xmm1,%xmm0
call   1050 <sqrt@plt>
movsd  0x8(%rsp),%xmm1
divsd  %xmm0,%xmm1
movapd %xmm1,%xmm0
add    $0x28,%rsp
ret

LLVM IR (-O0):
define double @along_theta(double %0, double %1, double %2) {
%4 = alloca double
%5 = alloca double
%6 = alloca double
%7 = alloca double
%8 = alloca double
%9 = alloca double
store double %0, double* %4
store double %1, double* %5
store double %2, double* %6
%10 = load double, double* %6
%11 = load double, double* %4
%12 = call double @cos(double %11)
%13 = fmul double %10, %12
%14 = load double, double* %5
%15 = call double @cos(double %14)
%16 = fmul double %13, %15
store double %16, double* %7
%17 = load double, double* %6
%18 = load double, double* %6
%19 = call double @llvm.fmuladd.f64(double %17, double %18, double 4.844160e+17)
%20 = load double, double* %6
%21 = fmul double 1.392000e+09, %20
%22 = load double, double* %4
%23 = call double @sin(double %22)
%24 = fmul double %21, %23
%25 = load double, double* %5
%26 = call double @cos(double %25)
%27 = fneg double %24
%28 = call double @llvm.fmuladd.f64(double %27, double %26, double %19)
%29 = call double @sqrt(double %28)
store double %29, double* %8
%30 = load double, double* %7
%31 = load double, double* %8
%32 = fdiv double %30, %31
store double %32, double* %9
%33 = load double, double* %9
ret double %33
}

LLVM IR (-O2):
define double @along_theta(double %0, double %1, double %2) {
%4 = tail call double @cos(double %0)
%5 = fmul double %4, %2
%6 = tail call double @cos(double %1)
%7 = fmul double %5, %6
%8 = tail call double @llvm.fmuladd.f64(double %2, double %2, double 4.844160e+17)
%9 = tail call double @sin(double %0)
%10 = tail call double @cos(double %1)
%11 = fmul double %2, -1.392000e+09
%12 = fmul double %11, %9
%13 = tail call double @llvm.fmuladd.f64(double %12, double %10, double %8)
%14 = tail call double @sqrt(double %13)
%15 = fdiv double %7, %14
ret double %15
}