#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 */
int M_PI;
int /*<<< orphan*/ derivs_three(double *, double *, double const *,
                                double const *);
double fmod(double, int);
void integrate_three_rk4(double *y, const double *params, const double *kij,
                         double *output, const double dt, const unsigned N,
                         const unsigned stride) {
  unsigned i, j, k;
  double dt2, dt6;
  double y1[3 * 1], y2[3 * 1], k1[3 * 1], k2[3 * 1], k3[3 * 1], k4[3 * 1];
  dt2 = dt / 2.;
  dt6 = dt / 6.;
  for (j = 0; j < 3; j++)
    output[j] = y[j * 1];
  for (i = 1; i < N; i++) {
    for (j = 0; j < stride; j++) {
      derivs_three(y, k1, params, kij);
      for (k = 0; k < 3 * 1; k++)
        y1[k] = y[k] + k1[k] * dt2;
      derivs_three(y1, k2, params, kij);
      for (k = 0; k < 3 * 1; k++)
        y2[k] = y[k] + k2[k] * dt2;
      derivs_three(y2, k3, params, kij);
      for (k = 0; k < 3 * 1; k++)
        y2[k] = y[k] + k3[k] * dt;
      derivs_three(y2, k4, params, kij);
      for (k = 0; k < 3 * 1; k++) {
        y[k] += dt6 * (k1[k] + 2. * (k2[k] + k3[k]) + k4[k]);
        y[k] = fmod(y[k], 2. * M_PI);
      }
    }
    for (j = 0; j < 3; j++)
      output[3 * i + j] = y[j * 1];
  }
}


x86 assembly (clang, -O0):
<integrate_three_rk4>:
push   %rbp
mov    %rsp,%rbp
sub    $0x110,%rsp
mov    %rdi,-0x8(%rbp)
mov    %rsi,-0x10(%rbp)
mov    %rdx,-0x18(%rbp)
mov    %rcx,-0x20(%rbp)
movsd  %xmm0,-0x28(%rbp)
mov    %r8d,-0x2c(%rbp)
mov    %r9d,-0x30(%rbp)
movsd  -0x28(%rbp),%xmm0
movsd  0xeb3(%rip),%xmm1
divsd  %xmm1,%xmm0
movsd  %xmm0,-0x48(%rbp)
movsd  -0x28(%rbp),%xmm0
movsd  0xe95(%rip),%xmm1
divsd  %xmm1,%xmm0
movsd  %xmm0,-0x50(%rbp)
movl   $0x0,-0x38(%rbp)
cmpl   $0x3,-0x38(%rbp)
jae    11b0 <integrate_three_rk4+0x90>
mov    -0x8(%rbp),%rax
mov    -0x38(%rbp),%ecx
shl    $0x0,%ecx
mov    %ecx,%ecx
movsd  (%rax,%rcx,8),%xmm0
mov    -0x20(%rbp),%rax
mov    -0x38(%rbp),%ecx
movsd  %xmm0,(%rax,%rcx,8)
mov    -0x38(%rbp),%eax
add    $0x1,%eax
mov    %eax,-0x38(%rbp)
jmp    117b <integrate_three_rk4+0x5b>
movl   $0x1,-0x34(%rbp)
mov    -0x34(%rbp),%eax
cmp    -0x2c(%rbp),%eax
jae    143e <integrate_three_rk4+0x31e>
movl   $0x0,-0x38(%rbp)
mov    -0x38(%rbp),%eax
cmp    -0x30(%rbp),%eax
jae    13e9 <integrate_three_rk4+0x2c9>
mov    -0x8(%rbp),%rdi
lea    -0xb0(%rbp),%rsi
mov    -0x10(%rbp),%rdx
mov    -0x18(%rbp),%rcx
call   1040 <derivs_three@plt>
movl   $0x0,-0x3c(%rbp)
cmpl   $0x3,-0x3c(%rbp)
jae    123b <integrate_three_rk4+0x11b>
mov    -0x8(%rbp),%rax
mov    -0x3c(%rbp),%ecx
movsd  (%rax,%rcx,8),%xmm1
mov    -0x3c(%rbp),%eax
movsd  -0xb0(%rbp,%rax,8),%xmm0
ff ff
movsd  -0x48(%rbp),%xmm2
mulsd  %xmm2,%xmm0
addsd  %xmm1,%xmm0
mov    -0x3c(%rbp),%eax
movsd  %xmm0,-0x70(%rbp,%rax,8)
mov    -0x3c(%rbp),%eax
add    $0x1,%eax
mov    %eax,-0x3c(%rbp)
jmp    11f5 <integrate_three_rk4+0xd5>
lea    -0x70(%rbp),%rdi
lea    -0xd0(%rbp),%rsi
mov    -0x10(%rbp),%rdx
mov    -0x18(%rbp),%rcx
call   1040 <derivs_three@plt>
movl   $0x0,-0x3c(%rbp)
cmpl   $0x3,-0x3c(%rbp)
jae    12a3 <integrate_three_rk4+0x183>
mov    -0x8(%rbp),%rax
mov    -0x3c(%rbp),%ecx
movsd  (%rax,%rcx,8),%xmm1
mov    -0x3c(%rbp),%eax
movsd  -0xd0(%rbp,%rax,8),%xmm0
ff ff
movsd  -0x48(%rbp),%xmm2
mulsd  %xmm2,%xmm0
addsd  %xmm1,%xmm0
mov    -0x3c(%rbp),%eax
movsd  %xmm0,-0x90(%rbp,%rax,8)
ff ff
mov    -0x3c(%rbp),%eax
add    $0x1,%eax
mov    %eax,-0x3c(%rbp)
jmp    125a <integrate_three_rk4+0x13a>
lea    -0x90(%rbp),%rdi
lea    -0xf0(%rbp),%rsi
mov    -0x10(%rbp),%rdx
mov    -0x18(%rbp),%rcx
call   1040 <derivs_three@plt>
movl   $0x0,-0x3c(%rbp)
cmpl   $0x3,-0x3c(%rbp)
jae    130e <integrate_three_rk4+0x1ee>
mov    -0x8(%rbp),%rax
mov    -0x3c(%rbp),%ecx
movsd  (%rax,%rcx,8),%xmm1
mov    -0x3c(%rbp),%eax
movsd  -0xf0(%rbp,%rax,8),%xmm0
ff ff
movsd  -0x28(%rbp),%xmm2
mulsd  %xmm2,%xmm0
addsd  %xmm1,%xmm0
mov    -0x3c(%rbp),%eax
movsd  %xmm0,-0x90(%rbp,%rax,8)
ff ff
mov    -0x3c(%rbp),%eax
add    $0x1,%eax
mov    %eax,-0x3c(%rbp)
jmp    12c5 <integrate_three_rk4+0x1a5>
lea    -0x90(%rbp),%rdi
lea    -0x110(%rbp),%rsi
mov    -0x10(%rbp),%rdx
mov    -0x18(%rbp),%rcx
call   1040 <derivs_three@plt>
movl   $0x0,-0x3c(%rbp)
cmpl   $0x3,-0x3c(%rbp)
jae    13d6 <integrate_three_rk4+0x2b6>
movsd  -0x50(%rbp),%xmm0
mov    -0x3c(%rbp),%eax
movsd  -0xb0(%rbp,%rax,8),%xmm1
ff ff
mov    -0x3c(%rbp),%eax
movsd  -0xd0(%rbp,%rax,8),%xmm2
ff ff
mov    -0x3c(%rbp),%eax
addsd  -0xf0(%rbp,%rax,8),%xmm2
ff ff
addsd  %xmm2,%xmm2
addsd  %xmm1,%xmm2
mov    -0x3c(%rbp),%eax
addsd  -0x110(%rbp,%rax,8),%xmm2
ff ff
mov    -0x8(%rbp),%rax
mov    -0x3c(%rbp),%ecx
movsd  (%rax,%rcx,8),%xmm1
mulsd  %xmm2,%xmm0
addsd  %xmm1,%xmm0
movsd  %xmm0,(%rax,%rcx,8)
mov    -0x8(%rbp),%rax
mov    -0x3c(%rbp),%ecx
movsd  (%rax,%rcx,8),%xmm0
mov    0x2c45(%rip),%rax
cvtsi2sdl (%rax),%xmm2
movsd  0xc59(%rip),%xmm1
mulsd  %xmm2,%xmm1
cvttsd2si %xmm1,%edi
call   1030 <fmod@plt>
mov    -0x8(%rbp),%rax
mov    -0x3c(%rbp),%ecx
movsd  %xmm0,(%rax,%rcx,8)
mov    -0x3c(%rbp),%eax
add    $0x1,%eax
mov    %eax,-0x3c(%rbp)
jmp    1330 <integrate_three_rk4+0x210>
jmp    13db <integrate_three_rk4+0x2bb>
mov    -0x38(%rbp),%eax
add    $0x1,%eax
mov    %eax,-0x38(%rbp)
jmp    11ca <integrate_three_rk4+0xaa>
movl   $0x0,-0x38(%rbp)
cmpl   $0x3,-0x38(%rbp)
jae    142b <integrate_three_rk4+0x30b>
mov    -0x8(%rbp),%rax
mov    -0x38(%rbp),%ecx
shl    $0x0,%ecx
mov    %ecx,%ecx
movsd  (%rax,%rcx,8),%xmm0
mov    -0x20(%rbp),%rax
imul   $0x3,-0x34(%rbp),%ecx
add    -0x38(%rbp),%ecx
mov    %ecx,%ecx
movsd  %xmm0,(%rax,%rcx,8)
mov    -0x38(%rbp),%eax
add    $0x1,%eax
mov    %eax,-0x38(%rbp)
jmp    13f0 <integrate_three_rk4+0x2d0>
jmp    1430 <integrate_three_rk4+0x310>
mov    -0x34(%rbp),%eax
add    $0x1,%eax
mov    %eax,-0x34(%rbp)
jmp    11b7 <integrate_three_rk4+0x97>
add    $0x110,%rsp
pop    %rbp
ret

x86 assembly (clang, -O2):
<integrate_three_rk4>:
push   %rbp
push   %r15
push   %r14
push   %r13
push   %r12
push   %rbx
sub    $0x128,%rsp
mov    %r9d,0xc(%rsp)
movaps %xmm0,0xb0(%rsp)
movsd  (%rdi),%xmm0
movsd  %xmm0,(%rcx)
movsd  0x8(%rdi),%xmm0
movsd  %xmm0,0x8(%rcx)
movsd  0x10(%rdi),%xmm0
mov    %rcx,0x80(%rsp)
movsd  %xmm0,0x10(%rcx)
cmp    $0x2,%r8d
jb     1422 <integrate_three_rk4+0x302>
mov    %rdx,%r14
mov    %rsi,%r13
mov    %rdi,%rbp
movsd  0xe83(%rip),%xmm1
movapd 0xb0(%rsp),%xmm0
movapd %xmm0,%xmm2
divsd  0xe76(%rip),%xmm2
movapd %xmm2,0x10(%rsp)
mulsd  %xmm0,%xmm1
mov    %r8d,%eax
mov    %rax,0x78(%rsp)
movapd %xmm1,0xd0(%rsp)
unpcklpd %xmm1,%xmm1
movapd %xmm1,0xc0(%rsp)
unpcklpd %xmm0,%xmm0
movapd %xmm0,0x100(%rsp)
mov    $0x1,%edx
mov    0x2e15(%rip),%rbx
jmp    122a <integrate_three_rk4+0x10a>
cs nopw 0x0(%rax,%rax,1)
nop
mov    0x88(%rsp),%rdx
lea    (%rdx,%rdx,2),%eax
movsd  0x0(%rbp),%xmm0
mov    0x80(%rsp),%rcx
movsd  %xmm0,(%rcx,%rax,8)
movsd  0x8(%rbp),%xmm0
lea    0x1(%rdx,%rdx,2),%eax
movsd  %xmm0,(%rcx,%rax,8)
movsd  0x10(%rbp),%xmm0
lea    (%rdx,%rdx,2),%eax
add    $0x2,%eax
movsd  %xmm0,(%rcx,%rax,8)
add    $0x1,%rdx
cmp    0x78(%rsp),%rdx
je     1422 <integrate_three_rk4+0x302>
mov    %rdx,0x88(%rsp)
mov    0xc(%rsp),%eax
mov    %eax,%r15d
test   %eax,%eax
je     11e0 <integrate_three_rk4+0xc0>
nopl   (%rax)
mov    %rbp,%rdi
lea    0x60(%rsp),%rsi
mov    %r13,%rdx
mov    %r14,%rcx
call   1040 <derivs_three@plt>
movupd 0x0(%rbp),%xmm0
movapd 0x60(%rsp),%xmm1
mulpd  0xc0(%rsp),%xmm1
addpd  %xmm0,%xmm1
movapd %xmm1,0x110(%rsp)
movsd  0x70(%rsp),%xmm0
mulsd  0xd0(%rsp),%xmm0
addsd  0x10(%rbp),%xmm0
movsd  %xmm0,0x120(%rsp)
lea    0x110(%rsp),%rdi
lea    0x40(%rsp),%rsi
mov    %r13,%rdx
mov    %r14,%rcx
call   1040 <derivs_three@plt>
movupd 0x0(%rbp),%xmm0
movapd 0x40(%rsp),%xmm1
mulpd  0xc0(%rsp),%xmm1
addpd  %xmm0,%xmm1
movapd %xmm1,0x90(%rsp)
movsd  0x50(%rsp),%xmm0
mulsd  0xd0(%rsp),%xmm0
addsd  0x10(%rbp),%xmm0
movsd  %xmm0,0xa0(%rsp)
mov    %r14,%r12
lea    0x90(%rsp),%r14
mov    %r14,%rdi
lea    0x20(%rsp),%rsi
mov    %r13,%rdx
mov    %r12,%rcx
call   1040 <derivs_three@plt>
movupd 0x0(%rbp),%xmm0
movapd 0x20(%rsp),%xmm1
mulpd  0x100(%rsp),%xmm1
addpd  %xmm0,%xmm1
movapd %xmm1,0x90(%rsp)
movsd  0x30(%rsp),%xmm0
mulsd  0xb0(%rsp),%xmm0
addsd  0x10(%rbp),%xmm0
movsd  %xmm0,0xa0(%rsp)
mov    %r14,%rdi
mov    %r12,%r14
lea    0xe0(%rsp),%rsi
mov    %r13,%rdx
mov    %r12,%rcx
call   1040 <derivs_three@plt>
movsd  0x40(%rsp),%xmm0
addsd  0x20(%rsp),%xmm0
addsd  %xmm0,%xmm0
addsd  0x60(%rsp),%xmm0
addsd  0xe0(%rsp),%xmm0
mulsd  0x10(%rsp),%xmm0
addsd  0x0(%rbp),%xmm0
movsd  %xmm0,0x0(%rbp)
mov    (%rbx),%edi
add    %edi,%edi
call   1030 <fmod@plt>
movsd  %xmm0,0x0(%rbp)
movsd  0x48(%rsp),%xmm0
addsd  0x28(%rsp),%xmm0
addsd  %xmm0,%xmm0
addsd  0x68(%rsp),%xmm0
addsd  0xe8(%rsp),%xmm0
mulsd  0x10(%rsp),%xmm0
addsd  0x8(%rbp),%xmm0
movsd  %xmm0,0x8(%rbp)
mov    (%rbx),%edi
add    %edi,%edi
call   1030 <fmod@plt>
movsd  %xmm0,0x8(%rbp)
movsd  0x50(%rsp),%xmm0
addsd  0x30(%rsp),%xmm0
addsd  %xmm0,%xmm0
addsd  0x70(%rsp),%xmm0
addsd  0xf0(%rsp),%xmm0
mulsd  0x10(%rsp),%xmm0
addsd  0x10(%rbp),%xmm0
movsd  %xmm0,0x10(%rbp)
mov    (%rbx),%edi
add    %edi,%edi
call   1030 <fmod@plt>
movsd  %xmm0,0x10(%rbp)
add    $0xffffffff,%r15d
jne    1240 <integrate_three_rk4+0x120>
jmp    11e0 <integrate_three_rk4+0xc0>
add    $0x128,%rsp
pop    %rbx
pop    %r12
pop    %r13
pop    %r14
pop    %r15
pop    %rbp
ret

LLVM IR (-O0):
@M_PI = global i32 0
define void @integrate_three_rk4(double* %0, double* %1, double* %2, double* %3, double %4, i32 %5, i32 %6) {
%8 = alloca double*
%9 = alloca double*
%10 = alloca double*
%11 = alloca double*
%12 = alloca double
%13 = alloca i32
%14 = alloca i32
%15 = alloca i32
%16 = alloca i32
%17 = alloca i32
%18 = alloca double
%19 = alloca double
%20 = alloca [3 x double]
%21 = alloca [3 x double]
%22 = alloca [3 x double]
%23 = alloca [3 x double]
%24 = alloca [3 x double]
%25 = alloca [3 x double]
store double* %0, double** %8
store double* %1, double** %9
store double* %2, double** %10
store double* %3, double** %11
store double %4, double* %12
store i32 %5, i32* %13
store i32 %6, i32* %14
%26 = load double, double* %12
%27 = fdiv double %26, 2.000000e+00
store double %27, double* %18
%28 = load double, double* %12
%29 = fdiv double %28, 6.000000e+00
store double %29, double* %19
store i32 0, i32* %16
br label %30
30: ; preds = %44, %7
%31 = load i32, i32* %16
%32 = icmp ult i32 %31, 3
br i1 %32, label %33, label %47
33: ; preds = %30
%34 = load double*, double** %8
%35 = load i32, i32* %16
%36 = mul i32 %35, 1
%37 = zext i32 %36 to i64
%38 = getelementptr inbounds double, double* %34, i64 %37
%39 = load double, double* %38
%40 = load double*, double** %11
%41 = load i32, i32* %16
%42 = zext i32 %41 to i64
%43 = getelementptr inbounds double, double* %40, i64 %42
store double %39, double* %43
br label %44
44: ; preds = %33
%45 = load i32, i32* %16
%46 = add i32 %45, 1
store i32 %46, i32* %16
br label %30
47: ; preds = %30
store i32 1, i32* %15
br label %48
48: ; preds = %217, %47
%49 = load i32, i32* %15
%50 = load i32, i32* %13
%51 = icmp ult i32 %49, %50
br i1 %51, label %52, label %220
52: ; preds = %48
store i32 0, i32* %16
br label %53
53: ; preds = %192, %52
%54 = load i32, i32* %16
%55 = load i32, i32* %14
%56 = icmp ult i32 %54, %55
br i1 %56, label %57, label %195
57: ; preds = %53
%58 = load double*, double** %8
%59 = getelementptr inbounds [3 x double], [3 x double]* %22, i64 0, i64 0
%60 = load double*, double** %9
%61 = load double*, double** %10
%62 = call i32 @derivs_three(double* %58, double* %59, double* %60, double* %61)
store i32 0, i32* %17
br label %63
63: ; preds = %81, %57
%64 = load i32, i32* %17
%65 = icmp ult i32 %64, 3
br i1 %65, label %66, label %84
66: ; preds = %63
%67 = load double*, double** %8
%68 = load i32, i32* %17
%69 = zext i32 %68 to i64
%70 = getelementptr inbounds double, double* %67, i64 %69
%71 = load double, double* %70
%72 = load i32, i32* %17
%73 = zext i32 %72 to i64
%74 = getelementptr inbounds [3 x double], [3 x double]* %22, i64 0, i64 %73
%75 = load double, double* %74
%76 = load double, double* %18
%77 = call double @llvm.fmuladd.f64(double %75, double %76, double %71)
%78 = load i32, i32* %17
%79 = zext i32 %78 to i64
%80 = getelementptr inbounds [3 x double], [3 x double]* %20, i64 0, i64 %79
store double %77, double* %80
br label %81
81: ; preds = %66
%82 = load i32, i32* %17
%83 = add i32 %82, 1
store i32 %83, i32* %17
br label %63
84: ; preds = %63
%85 = getelementptr inbounds [3 x double], [3 x double]* %20, i64 0, i64 0
%86 = getelementptr inbounds [3 x double], [3 x double]* %23, i64 0, i64 0
%87 = load double*, double** %9
%88 = load double*, double** %10
%89 = call i32 @derivs_three(double* %85, double* %86, double* %87, double* %88)
store i32 0, i32* %17
br label %90
90: ; preds = %108, %84
%91 = load i32, i32* %17
%92 = icmp ult i32 %91, 3
br i1 %92, label %93, label %111
93: ; preds = %90
%94 = load double*, double** %8
%95 = load i32, i32* %17
%96 = zext i32 %95 to i64
%97 = getelementptr inbounds double, double* %94, i64 %96
%98 = load double, double* %97
%99 = load i32, i32* %17
%100 = zext i32 %99 to i64
%101 = getelementptr inbounds [3 x double], [3 x double]* %23, i64 0, i64 %100
%102 = load double, double* %101
%103 = load double, double* %18
%104 = call double @llvm.fmuladd.f64(double %102, double %103, double %98)
%105 = load i32, i32* %17
%106 = zext i32 %105 to i64
%107 = getelementptr inbounds [3 x double], [3 x double]* %21, i64 0, i64 %106
store double %104, double* %107
br label %108
108: ; preds = %93
%109 = load i32, i32* %17
%110 = add i32 %109, 1
store i32 %110, i32* %17
br label %90
111: ; preds = %90
%112 = getelementptr inbounds [3 x double], [3 x double]* %21, i64 0, i64 0
%113 = getelementptr inbounds [3 x double], [3 x double]* %24, i64 0, i64 0
%114 = load double*, double** %9
%115 = load double*, double** %10
%116 = call i32 @derivs_three(double* %112, double* %113, double* %114, double* %115)
store i32 0, i32* %17
br label %117
117: ; preds = %135, %111
%118 = load i32, i32* %17
%119 = icmp ult i32 %118, 3
br i1 %119, label %120, label %138
120: ; preds = %117
%121 = load double*, double** %8
%122 = load i32, i32* %17
%123 = zext i32 %122 to i64
%124 = getelementptr inbounds double, double* %121, i64 %123
%125 = load double, double* %124
%126 = load i32, i32* %17
%127 = zext i32 %126 to i64
%128 = getelementptr inbounds [3 x double], [3 x double]* %24, i64 0, i64 %127
%129 = load double, double* %128
%130 = load double, double* %12
%131 = call double @llvm.fmuladd.f64(double %129, double %130, double %125)
%132 = load i32, i32* %17
%133 = zext i32 %132 to i64
%134 = getelementptr inbounds [3 x double], [3 x double]* %21, i64 0, i64 %133
store double %131, double* %134
br label %135
135: ; preds = %120
%136 = load i32, i32* %17
%137 = add i32 %136, 1
store i32 %137, i32* %17
br label %117
138: ; preds = %117
%139 = getelementptr inbounds [3 x double], [3 x double]* %21, i64 0, i64 0
%140 = getelementptr inbounds [3 x double], [3 x double]* %25, i64 0, i64 0
%141 = load double*, double** %9
%142 = load double*, double** %10
%143 = call i32 @derivs_three(double* %139, double* %140, double* %141, double* %142)
store i32 0, i32* %17
br label %144
144: ; preds = %188, %138
%145 = load i32, i32* %17
%146 = icmp ult i32 %145, 3
br i1 %146, label %147, label %191
147: ; preds = %144
%148 = load double, double* %19
%149 = load i32, i32* %17
%150 = zext i32 %149 to i64
%151 = getelementptr inbounds [3 x double], [3 x double]* %22, i64 0, i64 %150
%152 = load double, double* %151
%153 = load i32, i32* %17
%154 = zext i32 %153 to i64
%155 = getelementptr inbounds [3 x double], [3 x double]* %23, i64 0, i64 %154
%156 = load double, double* %155
%157 = load i32, i32* %17
%158 = zext i32 %157 to i64
%159 = getelementptr inbounds [3 x double], [3 x double]* %24, i64 0, i64 %158
%160 = load double, double* %159
%161 = fadd double %156, %160
%162 = call double @llvm.fmuladd.f64(double 2.000000e+00, double %161, double %152)
%163 = load i32, i32* %17
%164 = zext i32 %163 to i64
%165 = getelementptr inbounds [3 x double], [3 x double]* %25, i64 0, i64 %164
%166 = load double, double* %165
%167 = fadd double %162, %166
%168 = load double*, double** %8
%169 = load i32, i32* %17
%170 = zext i32 %169 to i64
%171 = getelementptr inbounds double, double* %168, i64 %170
%172 = load double, double* %171
%173 = call double @llvm.fmuladd.f64(double %148, double %167, double %172)
store double %173, double* %171
%174 = load double*, double** %8
%175 = load i32, i32* %17
%176 = zext i32 %175 to i64
%177 = getelementptr inbounds double, double* %174, i64 %176
%178 = load double, double* %177
%179 = load i32, i32* @M_PI
%180 = sitofp i32 %179 to double
%181 = fmul double 2.000000e+00, %180
%182 = fptosi double %181 to i32
%183 = call double @fmod(double %178, i32 %182)
%184 = load double*, double** %8
%185 = load i32, i32* %17
%186 = zext i32 %185 to i64
%187 = getelementptr inbounds double, double* %184, i64 %186
store double %183, double* %187
br label %188
188: ; preds = %147
%189 = load i32, i32* %17
%190 = add i32 %189, 1
store i32 %190, i32* %17
br label %144
191: ; preds = %144
br label %192
192: ; preds = %191
%193 = load i32, i32* %16
%194 = add i32 %193, 1
store i32 %194, i32* %16
br label %53
195: ; preds = %53
store i32 0, i32* %16
br label %196
196: ; preds = %213, %195
%197 = load i32, i32* %16
%198 = icmp ult i32 %197, 3
br i1 %198, label %199, label %216
199: ; preds = %196
%200 = load double*, double** %8
%201 = load i32, i32* %16
%202 = mul i32 %201, 1
%203 = zext i32 %202 to i64
%204 = getelementptr inbounds double, double* %200, i64 %203
%205 = load double, double* %204
%206 = load double*, double** %11
%207 = load i32, i32* %15
%208 = mul i32 3, %207
%209 = load i32, i32* %16
%210 = add i32 %208, %209
%211 = zext i32 %210 to i64
%212 = getelementptr inbounds double, double* %206, i64 %211
store double %205, double* %212
br label %213
213: ; preds = %199
%214 = load i32, i32* %16
%215 = add i32 %214, 1
store i32 %215, i32* %16
br label %196
216: ; preds = %196
br label %217
217: ; preds = %216
%218 = load i32, i32* %15
%219 = add i32 %218, 1
store i32 %219, i32* %15
br label %48
220: ; preds = %48
ret void
}

LLVM IR (-O2):
@M_PI = global i32 0
define void @integrate_three_rk4(double* %0, double* %1, double* %2, double* nocapture writeonly %3, double %4, i32 %5, i32 %6) {
%8 = alloca [3 x double]
%9 = alloca [3 x double]
%10 = alloca [3 x double]
%11 = alloca [3 x double]
%12 = alloca [3 x double]
%13 = alloca [3 x double]
%14 = bitcast [3 x double]* %8 to i8*
%15 = bitcast [3 x double]* %9 to i8*
%16 = bitcast [3 x double]* %10 to i8*
%17 = bitcast [3 x double]* %11 to i8*
%18 = bitcast [3 x double]* %12 to i8*
%19 = bitcast [3 x double]* %13 to i8*
%20 = fmul double %4, 5.000000e-01
%21 = load double, double* %0
store double %21, double* %3
%22 = getelementptr inbounds double, double* %0, i64 1
%23 = load double, double* %22
%24 = getelementptr inbounds double, double* %3, i64 1
store double %23, double* %24
%25 = getelementptr inbounds double, double* %0, i64 2
%26 = load double, double* %25
%27 = getelementptr inbounds double, double* %3, i64 2
store double %26, double* %27
%28 = fdiv double %4, 6.000000e+00
%29 = icmp ugt i32 %5, 1
br i1 %29, label %30, label %142
30: ; preds = %7
%31 = icmp eq i32 %6, 0
%32 = getelementptr inbounds [3 x double], [3 x double]* %10, i64 0, i64 0
%33 = getelementptr inbounds [3 x double], [3 x double]* %8, i64 0, i64 0
%34 = getelementptr inbounds [3 x double], [3 x double]* %11, i64 0, i64 0
%35 = getelementptr inbounds [3 x double], [3 x double]* %9, i64 0, i64 0
%36 = getelementptr inbounds [3 x double], [3 x double]* %12, i64 0, i64 0
%37 = getelementptr inbounds [3 x double], [3 x double]* %13, i64 0, i64 0
%38 = zext i32 %5 to i64
%39 = getelementptr inbounds [3 x double], [3 x double]* %10, i64 0, i64 1
%40 = getelementptr inbounds [3 x double], [3 x double]* %10, i64 0, i64 2
%41 = getelementptr inbounds [3 x double], [3 x double]* %8, i64 0, i64 2
%42 = getelementptr inbounds [3 x double], [3 x double]* %11, i64 0, i64 1
%43 = getelementptr inbounds [3 x double], [3 x double]* %11, i64 0, i64 2
%44 = getelementptr inbounds [3 x double], [3 x double]* %9, i64 0, i64 2
%45 = getelementptr inbounds [3 x double], [3 x double]* %12, i64 0, i64 1
%46 = getelementptr inbounds [3 x double], [3 x double]* %12, i64 0, i64 2
%47 = getelementptr inbounds [3 x double], [3 x double]* %13, i64 0, i64 1
%48 = getelementptr inbounds [3 x double], [3 x double]* %13, i64 0, i64 2
%49 = bitcast double* %0 to <2 x double>*
%50 = bitcast [3 x double]* %10 to <2 x double>*
%51 = insertelement <2 x double> poison, double %20, i64 0
%52 = shufflevector <2 x double> %51, <2 x double> poison, <2 x i32> zeroinitializer
%53 = bitcast [3 x double]* %8 to <2 x double>*
%54 = bitcast double* %0 to <2 x double>*
%55 = bitcast [3 x double]* %11 to <2 x double>*
%56 = bitcast [3 x double]* %9 to <2 x double>*
%57 = bitcast double* %0 to <2 x double>*
%58 = bitcast [3 x double]* %12 to <2 x double>*
%59 = insertelement <2 x double> poison, double %4, i64 0
%60 = shufflevector <2 x double> %59, <2 x double> poison, <2 x i32> zeroinitializer
%61 = bitcast [3 x double]* %9 to <2 x double>*
br label %62
62: ; preds = %30, %64
%63 = phi i64 [ 1, %30 ], [ %78, %64 ]
br i1 %31, label %64, label %80
64: ; preds = %80, %62
%65 = trunc i64 %63 to i32
%66 = mul i32 %65, 3
%67 = load double, double* %0
%68 = zext i32 %66 to i64
%69 = getelementptr inbounds double, double* %3, i64 %68
store double %67, double* %69
%70 = load double, double* %22
%71 = add i32 %66, 1
%72 = zext i32 %71 to i64
%73 = getelementptr inbounds double, double* %3, i64 %72
store double %70, double* %73
%74 = load double, double* %25
%75 = add i32 %66, 2
%76 = zext i32 %75 to i64
%77 = getelementptr inbounds double, double* %3, i64 %76
store double %74, double* %77
%78 = add nuw nsw i64 %63, 1
%79 = icmp eq i64 %78, %38
br i1 %79, label %142, label %62
80: ; preds = %62, %80
%81 = phi i32 [ %140, %80 ], [ 0, %62 ]
%82 = call i32 @derivs_three(double* %0, double* %32, double* %1, double* %2)
%83 = load <2 x double>, <2 x double>* %49
%84 = load <2 x double>, <2 x double>* %50
%85 = call <2 x double> @llvm.fmuladd.v2f64(<2 x double> %84, <2 x double> %52, <2 x double> %83)
store <2 x double> %85, <2 x double>* %53
%86 = load double, double* %25
%87 = load double, double* %40
%88 = call double @llvm.fmuladd.f64(double %87, double %20, double %86)
store double %88, double* %41
%89 = call i32 @derivs_three(double* %33, double* %34, double* %1, double* %2)
%90 = load <2 x double>, <2 x double>* %54
%91 = load <2 x double>, <2 x double>* %55
%92 = call <2 x double> @llvm.fmuladd.v2f64(<2 x double> %91, <2 x double> %52, <2 x double> %90)
store <2 x double> %92, <2 x double>* %56
%93 = load double, double* %25
%94 = load double, double* %43
%95 = call double @llvm.fmuladd.f64(double %94, double %20, double %93)
store double %95, double* %44
%96 = call i32 @derivs_three(double* %35, double* %36, double* %1, double* %2)
%97 = load <2 x double>, <2 x double>* %57
%98 = load <2 x double>, <2 x double>* %58
%99 = call <2 x double> @llvm.fmuladd.v2f64(<2 x double> %98, <2 x double> %60, <2 x double> %97)
store <2 x double> %99, <2 x double>* %61
%100 = load double, double* %25
%101 = load double, double* %46
%102 = call double @llvm.fmuladd.f64(double %101, double %4, double %100)
store double %102, double* %44
%103 = call i32 @derivs_three(double* %35, double* %37, double* %1, double* %2)
%104 = load double, double* %32
%105 = load double, double* %34
%106 = load double, double* %36
%107 = fadd double %105, %106
%108 = call double @llvm.fmuladd.f64(double %107, double 2.000000e+00, double %104)
%109 = load double, double* %37
%110 = fadd double %109, %108
%111 = load double, double* %0
%112 = call double @llvm.fmuladd.f64(double %28, double %110, double %111)
store double %112, double* %0
%113 = load i32, i32* @M_PI
%114 = shl i32 %113, 1
%115 = call double @fmod(double %112, i32 %114)
store double %115, double* %0
%116 = load double, double* %39
%117 = load double, double* %42
%118 = load double, double* %45
%119 = fadd double %117, %118
%120 = call double @llvm.fmuladd.f64(double %119, double 2.000000e+00, double %116)
%121 = load double, double* %47
%122 = fadd double %121, %120
%123 = load double, double* %22
%124 = call double @llvm.fmuladd.f64(double %28, double %122, double %123)
store double %124, double* %22
%125 = load i32, i32* @M_PI
%126 = shl i32 %125, 1
%127 = call double @fmod(double %124, i32 %126)
store double %127, double* %22
%128 = load double, double* %40
%129 = load double, double* %43
%130 = load double, double* %46
%131 = fadd double %129, %130
%132 = call double @llvm.fmuladd.f64(double %131, double 2.000000e+00, double %128)
%133 = load double, double* %48
%134 = fadd double %133, %132
%135 = load double, double* %25
%136 = call double @llvm.fmuladd.f64(double %28, double %134, double %135)
store double %136, double* %25
%137 = load i32, i32* @M_PI
%138 = shl i32 %137, 1
%139 = call double @fmod(double %136, i32 %138)
store double %139, double* %25
%140 = add nuw i32 %81, 1
%141 = icmp eq i32 %140, %6
br i1 %141, label %64, label %80
142: ; preds = %64, %7
ret void
}