#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 exp(double);
double fabs(double);
double sqrt(double);
double bessi0(double x) {
  double ax, ans;
  static double P[7] = {1.0,       3.5156229,   3.0899424, 1.2067492,
                        0.2659732, 0.360768e-1, 0.45813e-2};
  static double Q[9] = {0.39894228,   0.1328592e-1,  0.225319e-2,
                        -0.157565e-2, 0.916281e-2,   -0.2057706e-1,
                        0.2635537e-1, -0.1647633e-1, 0.392377e-2};
  double y;
  if ((ax = fabs(x)) < 3.75) {
    y = x / 3.75;
    y *= y;
    ans = P[0] +
          y * (P[1] +
               y * (P[2] + y * (P[3] + y * (P[4] + y * (P[5] + y * P[6])))));
  } else {
    y = 3.75 / ax;
    ans = (exp(ax) / sqrt(ax)) *
          (Q[0] +
           y * (Q[1] +
                y * (Q[2] +
                     y * (Q[3] +
                          y * (Q[4] +
                               y * (Q[5] +
                                    y * (Q[6] + y * (Q[7] + y * Q[8]))))))));
  }
  return ans;
}


x86 assembly (clang, -O0):
<bessi0>:
push   %rbp
mov    %rsp,%rbp
sub    $0x40,%rsp
movsd  %xmm0,-0x8(%rbp)
movsd  -0x8(%rbp),%xmm1
movaps 0xed7(%rip),%xmm0
pand   %xmm0,%xmm1
movsd  %xmm1,-0x10(%rbp)
movsd  0xeb6(%rip),%xmm0
ucomisd %xmm1,%xmm0
jbe    1213 <bessi0+0xf3>
movsd  -0x8(%rbp),%xmm0
movsd  0xe9f(%rip),%xmm1
divsd  %xmm1,%xmm0
movsd  %xmm0,-0x20(%rbp)
movsd  -0x20(%rbp),%xmm0
mulsd  -0x20(%rbp),%xmm0
movsd  %xmm0,-0x20(%rbp)
movsd  0x2ebf(%rip),%xmm1
movsd  -0x20(%rbp),%xmm0
movsd  0x2eba(%rip),%xmm3
movsd  -0x20(%rbp),%xmm2
movsd  0x2eb5(%rip),%xmm5
movsd  -0x20(%rbp),%xmm4
movsd  0x2eb0(%rip),%xmm7
movsd  -0x20(%rbp),%xmm6
movsd  0x2eaa(%rip),%xmm9
movsd  -0x20(%rbp),%xmm8
movsd  0x2ea3(%rip),%xmm11
movsd  -0x20(%rbp),%xmm10
movsd  0x2e9c(%rip),%xmm12
mulsd  %xmm12,%xmm10
addsd  %xmm11,%xmm10
mulsd  %xmm10,%xmm8
addsd  %xmm9,%xmm8
mulsd  %xmm8,%xmm6
addsd  %xmm7,%xmm6
mulsd  %xmm6,%xmm4
addsd  %xmm5,%xmm4
mulsd  %xmm4,%xmm2
addsd  %xmm3,%xmm2
mulsd  %xmm2,%xmm0
addsd  %xmm1,%xmm0
movsd  %xmm0,-0x18(%rbp)
jmp    1329 <bessi0+0x209>
movsd  0xde5(%rip),%xmm0
divsd  -0x10(%rbp),%xmm0
movsd  %xmm0,-0x20(%rbp)
movsd  -0x10(%rbp),%xmm0
call   1030 <exp@plt>
movsd  %xmm0,-0x38(%rbp)
movsd  -0x10(%rbp),%xmm0
call   1040 <sqrt@plt>
movaps %xmm0,%xmm1
movsd  -0x38(%rbp),%xmm0
divsd  %xmm1,%xmm0
movsd  %xmm0,-0x28(%rbp)
movsd  0x2e29(%rip),%xmm2
movsd  -0x20(%rbp),%xmm1
movsd  0x2e24(%rip),%xmm4
movsd  -0x20(%rbp),%xmm3
movsd  0x2e1f(%rip),%xmm6
movsd  -0x20(%rbp),%xmm5
movsd  0x2e19(%rip),%xmm8
movsd  -0x20(%rbp),%xmm7
movsd  0x2e13(%rip),%xmm10
movsd  -0x20(%rbp),%xmm9
movsd  0x2e0c(%rip),%xmm12
movsd  -0x20(%rbp),%xmm11
movsd  0x2e05(%rip),%xmm14
movsd  -0x20(%rbp),%xmm13
movsd  0x2dff(%rip),%xmm0
movsd  %xmm0,-0x30(%rbp)
movsd  -0x20(%rbp),%xmm15
movsd  0x2df4(%rip),%xmm0
mulsd  %xmm0,%xmm15
movsd  -0x30(%rbp),%xmm0
addsd  %xmm0,%xmm15
movsd  -0x28(%rbp),%xmm0
mulsd  %xmm15,%xmm13
addsd  %xmm14,%xmm13
mulsd  %xmm13,%xmm11
addsd  %xmm12,%xmm11
mulsd  %xmm11,%xmm9
addsd  %xmm10,%xmm9
mulsd  %xmm9,%xmm7
addsd  %xmm8,%xmm7
mulsd  %xmm7,%xmm5
addsd  %xmm6,%xmm5
mulsd  %xmm5,%xmm3
addsd  %xmm4,%xmm3
mulsd  %xmm3,%xmm1
addsd  %xmm2,%xmm1
mulsd  %xmm1,%xmm0
movsd  %xmm0,-0x18(%rbp)
movsd  -0x18(%rbp),%xmm0
add    $0x40,%rsp
pop    %rbp
ret

x86 assembly (clang, -O2):
<bessi0>:
sub    $0x18,%rsp
movapd 0xed4(%rip),%xmm2
andpd  %xmm0,%xmm2
movsd  0xed8(%rip),%xmm1
ucomisd %xmm2,%xmm1
jbe    11a3 <bessi0+0x83>
divsd  0xeca(%rip),%xmm0
mulsd  %xmm0,%xmm0
movsd  0xf0e(%rip),%xmm1
mulsd  %xmm0,%xmm1
addsd  0xf0a(%rip),%xmm1
mulsd  %xmm0,%xmm1
addsd  0xf06(%rip),%xmm1
mulsd  %xmm0,%xmm1
addsd  0xf02(%rip),%xmm1
mulsd  %xmm0,%xmm1
addsd  0xefe(%rip),%xmm1
mulsd  %xmm0,%xmm1
addsd  0xefa(%rip),%xmm1
mulsd  %xmm0,%xmm1
addsd  0xef6(%rip),%xmm1
movapd %xmm1,%xmm0
add    $0x18,%rsp
ret
divsd  %xmm2,%xmm1
movsd  %xmm1,0x10(%rsp)
movapd %xmm2,%xmm0
movapd %xmm2,(%rsp)
call   1030 <exp@plt>
movapd (%rsp),%xmm1
movapd %xmm0,%xmm3
xorpd  %xmm0,%xmm0
ucomisd %xmm0,%xmm1
jb     11d4 <bessi0+0xb4>
sqrtsd %xmm1,%xmm1
jmp    11eb <bessi0+0xcb>
movapd %xmm1,%xmm0
movsd  %xmm3,(%rsp)
call   1040 <sqrt@plt>
movsd  (%rsp),%xmm3
movapd %xmm0,%xmm1
movsd  0xe25(%rip),%xmm0
movsd  0x10(%rsp),%xmm2
mulsd  %xmm2,%xmm0
addsd  0xe1b(%rip),%xmm0
mulsd  %xmm2,%xmm0
addsd  0xe17(%rip),%xmm0
mulsd  %xmm2,%xmm0
addsd  0xe13(%rip),%xmm0
mulsd  %xmm2,%xmm0
addsd  0xe0f(%rip),%xmm0
mulsd  %xmm2,%xmm0
addsd  0xe0b(%rip),%xmm0
mulsd  %xmm2,%xmm0
addsd  0xe07(%rip),%xmm0
divsd  %xmm1,%xmm3
mulsd  %xmm2,%xmm0
addsd  0xdff(%rip),%xmm0
mulsd  %xmm2,%xmm0
addsd  0xdfb(%rip),%xmm0
mulsd  %xmm3,%xmm0
add    $0x18,%rsp
ret

LLVM IR (-O0):
@bessi0.P = internal global [7 x double] [double 1.000000e+00, double 0x400C1FFEE6248CA7, double 0x4008B833B89430A4, double 0x3FF34ED83FC7962C, double 0x3FD105B474E732AA, double 3.607680e-02, double 4.581300e-03]
@bessi0.Q = internal global [9 x double] [double 0x3FD988453365DE00, double 0x3F8B35A5FF2D9D1C, double 2.253190e-03, double -1.575650e-03, double 9.162810e-03, double 0xBF9512271EFDC716, double 0x3F9AFCE6F0E55AE3, double 0xBF90DF2BCA084C55, double 3.923770e-03]
define double @bessi0(double %0) {
%2 = alloca double
%3 = alloca double
%4 = alloca double
%5 = alloca double
store double %0, double* %2
%6 = load double, double* %2
%7 = call double @llvm.fabs.f64(double %6)
store double %7, double* %3
%8 = fcmp olt double %7, 3.750000e+00
br i1 %8, label %9, label %34
9: ; preds = %1
%10 = load double, double* %2
%11 = fdiv double %10, 3.750000e+00
store double %11, double* %5
%12 = load double, double* %5
%13 = load double, double* %5
%14 = fmul double %13, %12
store double %14, double* %5
%15 = load double, double* getelementptr inbounds ([7 x double], [7 x double]* @bessi0.P, i64 0, i64 0)
%16 = load double, double* %5
%17 = load double, double* getelementptr inbounds ([7 x double], [7 x double]* @bessi0.P, i64 0, i64 1)
%18 = load double, double* %5
%19 = load double, double* getelementptr inbounds ([7 x double], [7 x double]* @bessi0.P, i64 0, i64 2)
%20 = load double, double* %5
%21 = load double, double* getelementptr inbounds ([7 x double], [7 x double]* @bessi0.P, i64 0, i64 3)
%22 = load double, double* %5
%23 = load double, double* getelementptr inbounds ([7 x double], [7 x double]* @bessi0.P, i64 0, i64 4)
%24 = load double, double* %5
%25 = load double, double* getelementptr inbounds ([7 x double], [7 x double]* @bessi0.P, i64 0, i64 5)
%26 = load double, double* %5
%27 = load double, double* getelementptr inbounds ([7 x double], [7 x double]* @bessi0.P, i64 0, i64 6)
%28 = call double @llvm.fmuladd.f64(double %26, double %27, double %25)
%29 = call double @llvm.fmuladd.f64(double %24, double %28, double %23)
%30 = call double @llvm.fmuladd.f64(double %22, double %29, double %21)
%31 = call double @llvm.fmuladd.f64(double %20, double %30, double %19)
%32 = call double @llvm.fmuladd.f64(double %18, double %31, double %17)
%33 = call double @llvm.fmuladd.f64(double %16, double %32, double %15)
store double %33, double* %4
br label %68
34: ; preds = %1
%35 = load double, double* %3
%36 = fdiv double 3.750000e+00, %35
store double %36, double* %5
%37 = load double, double* %3
%38 = call double @exp(double %37)
%39 = load double, double* %3
%40 = call double @sqrt(double %39)
%41 = fdiv double %38, %40
%42 = load double, double* getelementptr inbounds ([9 x double], [9 x double]* @bessi0.Q, i64 0, i64 0)
%43 = load double, double* %5
%44 = load double, double* getelementptr inbounds ([9 x double], [9 x double]* @bessi0.Q, i64 0, i64 1)
%45 = load double, double* %5
%46 = load double, double* getelementptr inbounds ([9 x double], [9 x double]* @bessi0.Q, i64 0, i64 2)
%47 = load double, double* %5
%48 = load double, double* getelementptr inbounds ([9 x double], [9 x double]* @bessi0.Q, i64 0, i64 3)
%49 = load double, double* %5
%50 = load double, double* getelementptr inbounds ([9 x double], [9 x double]* @bessi0.Q, i64 0, i64 4)
%51 = load double, double* %5
%52 = load double, double* getelementptr inbounds ([9 x double], [9 x double]* @bessi0.Q, i64 0, i64 5)
%53 = load double, double* %5
%54 = load double, double* getelementptr inbounds ([9 x double], [9 x double]* @bessi0.Q, i64 0, i64 6)
%55 = load double, double* %5
%56 = load double, double* getelementptr inbounds ([9 x double], [9 x double]* @bessi0.Q, i64 0, i64 7)
%57 = load double, double* %5
%58 = load double, double* getelementptr inbounds ([9 x double], [9 x double]* @bessi0.Q, i64 0, i64 8)
%59 = call double @llvm.fmuladd.f64(double %57, double %58, double %56)
%60 = call double @llvm.fmuladd.f64(double %55, double %59, double %54)
%61 = call double @llvm.fmuladd.f64(double %53, double %60, double %52)
%62 = call double @llvm.fmuladd.f64(double %51, double %61, double %50)
%63 = call double @llvm.fmuladd.f64(double %49, double %62, double %48)
%64 = call double @llvm.fmuladd.f64(double %47, double %63, double %46)
%65 = call double @llvm.fmuladd.f64(double %45, double %64, double %44)
%66 = call double @llvm.fmuladd.f64(double %43, double %65, double %42)
%67 = fmul double %41, %66
store double %67, double* %4
br label %68
68: ; preds = %34, %9
%69 = load double, double* %4
ret double %69
}

LLVM IR (-O2):
define double @bessi0(double %0) {
%2 = tail call double @llvm.fabs.f64(double %0)
%3 = fcmp olt double %2, 3.750000e+00
br i1 %3, label %4, label %13
4: ; preds = %1
%5 = fdiv double %0, 3.750000e+00
%6 = fmul double %5, %5
%7 = tail call double @llvm.fmuladd.f64(double %6, double 4.581300e-03, double 3.607680e-02)
%8 = tail call double @llvm.fmuladd.f64(double %6, double %7, double 0x3FD105B474E732AA)
%9 = tail call double @llvm.fmuladd.f64(double %6, double %8, double 0x3FF34ED83FC7962C)
%10 = tail call double @llvm.fmuladd.f64(double %6, double %9, double 0x4008B833B89430A4)
%11 = tail call double @llvm.fmuladd.f64(double %6, double %10, double 0x400C1FFEE6248CA7)
%12 = tail call double @llvm.fmuladd.f64(double %6, double %11, double 1.000000e+00)
br label %27
13: ; preds = %1
%14 = fdiv double 3.750000e+00, %2
%15 = tail call double @exp(double %2)
%16 = tail call double @sqrt(double %2)
%17 = fdiv double %15, %16
%18 = tail call double @llvm.fmuladd.f64(double %14, double 3.923770e-03, double 0xBF90DF2BCA084C55)
%19 = tail call double @llvm.fmuladd.f64(double %14, double %18, double 0x3F9AFCE6F0E55AE3)
%20 = tail call double @llvm.fmuladd.f64(double %14, double %19, double 0xBF9512271EFDC716)
%21 = tail call double @llvm.fmuladd.f64(double %14, double %20, double 9.162810e-03)
%22 = tail call double @llvm.fmuladd.f64(double %14, double %21, double -1.575650e-03)
%23 = tail call double @llvm.fmuladd.f64(double %14, double %22, double 2.253190e-03)
%24 = tail call double @llvm.fmuladd.f64(double %14, double %23, double 0x3F8B35A5FF2D9D1C)
%25 = tail call double @llvm.fmuladd.f64(double %14, double %24, double 0x3FD988453365DE00)
%26 = fmul double %25, %17
br label %27
27: ; preds = %13, %4
%28 = phi double [ %12, %4 ], [ %26, %13 ]
ret double %28
}