#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_north(double theta, double phi, double d_obs) {
  double num, den;
  double in_north;
  num = (-1.0 * 696000000.0 * cos(theta));
  den = sqrt(d_obs * d_obs + 696000000.0 * 696000000.0 -
             2.0 * 696000000.0 * d_obs * sin(theta) * cos(phi));
  in_north = num / den;
  return in_north;
}


x86 assembly (clang, -O0):
<along_north>:
push   %rbp
mov    %rsp,%rbp
sub    $0x50,%rsp
movsd  %xmm0,-0x8(%rbp)
movsd  %xmm1,-0x10(%rbp)
movsd  %xmm2,-0x18(%rbp)
movsd  -0x8(%rbp),%xmm0
call   1040 <cos@plt>
movaps %xmm0,%xmm1
movsd  0xeb4(%rip),%xmm0
mulsd  %xmm1,%xmm0
movsd  %xmm0,-0x20(%rbp)
movsd  -0x18(%rbp),%xmm0
movsd  -0x18(%rbp),%xmm1
mulsd  %xmm1,%xmm0
movsd  0xe8d(%rip),%xmm1
addsd  %xmm1,%xmm0
movsd  %xmm0,-0x40(%rbp)
movsd  0xe74(%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    $0x50,%rsp
pop    %rbp
ret

x86 assembly (clang, -O2):
<along_north>:
sub    $0x28,%rsp
movsd  %xmm2,0x8(%rsp)
movsd  %xmm1,0x18(%rsp)
movsd  %xmm0,(%rsp)
call   1040 <cos@plt>
mulsd  0xeae(%rip),%xmm0
movsd  %xmm0,0x20(%rsp)
movsd  0x8(%rsp),%xmm0
mulsd  %xmm0,%xmm0
addsd  0xe9e(%rip),%xmm0
movsd  %xmm0,0x10(%rsp)
movsd  (%rsp),%xmm0
call   1030 <sin@plt>
movsd  %xmm0,(%rsp)
movsd  0x18(%rsp),%xmm0
call   1040 <cos@plt>
movsd  0x8(%rsp),%xmm1
mulsd  0xe78(%rip),%xmm1
mulsd  (%rsp),%xmm1
mulsd  %xmm0,%xmm1
addsd  0x10(%rsp),%xmm1
xorpd  %xmm0,%xmm0
ucomisd %xmm0,%xmm1
jb     11ba <along_north+0x8a>
xorps  %xmm0,%xmm0
sqrtsd %xmm1,%xmm0
jmp    11c3 <along_north+0x93>
movapd %xmm1,%xmm0
call   1050 <sqrt@plt>
movsd  0x20(%rsp),%xmm1
divsd  %xmm0,%xmm1
movapd %xmm1,%xmm0
add    $0x28,%rsp
ret

LLVM IR (-O0):
define double @along_north(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* %4
%11 = call double @cos(double %10)
%12 = fmul double -6.960000e+08, %11
store double %12, double* %7
%13 = load double, double* %6
%14 = load double, double* %6
%15 = call double @llvm.fmuladd.f64(double %13, double %14, double 4.844160e+17)
%16 = load double, double* %6
%17 = fmul double 1.392000e+09, %16
%18 = load double, double* %4
%19 = call double @sin(double %18)
%20 = fmul double %17, %19
%21 = load double, double* %5
%22 = call double @cos(double %21)
%23 = fneg double %20
%24 = call double @llvm.fmuladd.f64(double %23, double %22, double %15)
%25 = call double @sqrt(double %24)
store double %25, double* %8
%26 = load double, double* %7
%27 = load double, double* %8
%28 = fdiv double %26, %27
store double %28, double* %9
%29 = load double, double* %9
ret double %29
}

LLVM IR (-O2):
define double @along_north(double %0, double %1, double %2) {
%4 = tail call double @cos(double %0)
%5 = fmul double %4, -6.960000e+08
%6 = tail call double @llvm.fmuladd.f64(double %2, double %2, double 4.844160e+17)
%7 = tail call double @sin(double %0)
%8 = tail call double @cos(double %1)
%9 = fmul double %2, -1.392000e+09
%10 = fmul double %9, %7
%11 = tail call double @llvm.fmuladd.f64(double %10, double %8, double %6)
%12 = tail call double @sqrt(double %11)
%13 = fdiv double %5, %12
ret double %13
}