user: Demonstrate the C code that generates the assembly output below:

```asm
<remez>:
  endbr64
  push   %r15
  push   %r14
  push   %r13
  push   %r12
  push   %rbp
  push   %rbx
  sub    $0x88,%rsp
  mov    %esi,0x48(%rsp)
  mov    0xc0(%rsp),%r14d
  mov    %rdi,0x50(%rsp)
  mov    %fs:0x28,%rax
  mov    %rax,0x78(%rsp)
  mov    %esi,%eax
  shr    $0x1f,%eax
  add    %esi,%eax
  and    $0x1,%esi
  sar    %eax
  mov    %esi,0x4c(%rsp)
  mov    %eax,0x3c(%rsp)
  cmp    $0x1,%r14d
  je     L103
  mov    0x3c(%rsp),%ebx
  movl   $0x0,0x74(%rsp)
  mov    $0xfffffffffffffff8,%r12
  mov    $0xffffffff,%edi
  movl   $0x0,0x38(%rsp)
  test   %edx,%edx
  jle    L151
L115:
  mov    %ebx,%eax
  pxor   %xmm2,%xmm2
  movsd  D64(%rip),%xmm1
  xor    %edi,%edi
  shl    $0x5,%eax
  xor    %esi,%esi
  cvtsi2sd %eax,%xmm2
  mov    %rcx,%rax
  nopw   0x0(%rax,%rax,1)
L50:
  movsd  0x8(%rax),%xmm0
  subsd  (%rax),%xmm0
  add    $0x1,%esi
  add    $0x10,%rax
  mulsd  %xmm2,%xmm0
  addsd  %xmm1,%xmm0
  cvttsd2si %xmm0,%r10d
  add    %r10d,%edi
  cmp    %esi,%edx
  jg     L50
  mov    0x38(%rsp),%r10d
  mov    %edi,0x74(%rsp)
  test   %r10d,%r10d
  je     L48
  movslq %edi,%r12
  shl    $0x3,%r12
  jmp    L200
  nopl   0x0(%rax,%rax,1)
L48:
  sub    $0x1,%edi
  movslq %edi,%r12
  shl    $0x3,%r12
L151:
  mov    %edi,0x74(%rsp)
  movl   $0x0,0x38(%rsp)
L200:
  mov    %r12,%rdi
  mov    %r9,0x60(%rsp)
  lea    0x1(%rbx),%r15d
  mov    %r8,0x58(%rsp)
  movslq %r15d,%r15
  mov    %rcx,0x28(%rsp)
  mov    %edx,0x20(%rsp)
  call   <malloc@plt>
  mov    %r12,%rdi
  mov    %rax,0x40(%rsp)
  call   <malloc@plt>
  mov    %r12,%rdi
  mov    %rax,%rbp
  call   <malloc@plt>
  mov    %r12,%rdi
  mov    %rax,0x8(%rsp)
  call   <malloc@plt>
  lea    0x0(,%r15,4),%rdi
  shl    $0x3,%r15
  mov    %rax,%r13
  call   <malloc@plt>
  mov    %r15,%rdi
  mov    %rax,%r12
  call   <malloc@plt>
  mov    %r15,%rdi
  mov    %rax,0x30(%rsp)
  call   <malloc@plt>
  mov    %r15,%rdi
  mov    %rax,0x10(%rsp)
  call   <malloc@plt>
  mov    %r15,%rdi
  mov    %rax,0x18(%rsp)
  call   <malloc@plt>
  sub    $0x8,%rsp
  mov    %ebx,%edi
  mov    0x40(%rsp),%ecx
  mov    %rax,%r15
  push   %rcx
  push   0x18(%rsp)
  push   %rbp
  push   0x60(%rsp)
  lea    0x9c(%rsp),%rax
  push   %rax
  mov    0x78(%rsp),%esi
  xor    %eax,%eax
  mov    0x90(%rsp),%r9
  mov    0x88(%rsp),%r8
  mov    0x58(%rsp),%rcx
  mov    0x50(%rsp),%edx
  call   <CreateDenseGrid@plt>
  mov    0xa4(%rsp),%edx
  xor    %eax,%eax
  mov    %ebx,%edi
  add    $0x30,%rsp
  mov    %r12,%rsi
  call   <InitialGuess@plt>
  cmp    $0x2,%r14d
  je     L338
L118:
  cmpl   $0x1,0x38(%rsp)
  je     L28
  mov    0x4c(%rsp),%ecx
  mov    0x74(%rsp),%r14d
  test   %ecx,%ecx
  je     L83
  test   %r14d,%r14d
  jle    L11
  movslq %r14d,%rax
  xor    %r14d,%r14d
  mov    %r13,0x20(%rsp)
  mov    0x8(%rsp),%r13
  mov    %r12,0x28(%rsp)
  mov    %r14,%r12
  mov    0x40(%rsp),%r14
  mov    %ebx,0x58(%rsp)
  mov    %rax,%rbx
  nopl   0x0(%rax)
L273:
  movsd  D19(%rip),%xmm0
  mulsd  (%r14,%r12,8),%xmm0
  call   <sin@plt>
  movsd  0x0(%rbp,%r12,8),%xmm1
  divsd  %xmm0,%xmm1
  mulsd  0x0(%r13,%r12,8),%xmm0
  movsd  %xmm0,0x0(%r13,%r12,8)
  movsd  %xmm1,0x0(%rbp,%r12,8)
  add    $0x1,%r12
  cmp    %r12,%rbx
  jne    L273
  mov    0x20(%rsp),%r13
  mov    0x28(%rsp),%r12
  mov    0x58(%rsp),%ebx
  jmp    L11
  nop
L83:
  test   %r14d,%r14d
  jle    L11
  movslq %r14d,%rax
  movsd  D37(%rip),%xmm7
  xor    %r14d,%r14d
  mov    %r13,0x28(%rsp)
  mov    %r12,0x58(%rsp)
  mov    0x8(%rsp),%r13
  mov    %r14,%r12
  mov    0x40(%rsp),%r14
  mov    %ebx,0x60(%rsp)
  mov    %rax,%rbx
  movsd  %xmm7,0x20(%rsp)
  nopl   0x0(%rax,%rax,1)
L198:
  movsd  0x20(%rsp),%xmm0
  mulsd  (%r14,%r12,8),%xmm0
  call   <sin@plt>
  movsd  0x0(%rbp,%r12,8),%xmm1
  divsd  %xmm0,%xmm1
  mulsd  0x0(%r13,%r12,8),%xmm0
  movsd  %xmm0,0x0(%r13,%r12,8)
  movsd  %xmm1,0x0(%rbp,%r12,8)
  add    $0x1,%r12
  cmp    %r12,%rbx
  jne    L198
L56:
  mov    0x28(%rsp),%r13
  mov    0x58(%rsp),%r12
  mov    0x60(%rsp),%ebx
L11:
  mov    $0x64,%r14d
  mov    %r14d,0x20(%rsp)
  mov    %r12,%r14
  mov    0x40(%rsp),%r12
  jmp    L59
  nopl   (%rax)
L183:
  subl   $0x1,0x20(%rsp)
  je     L53
L59:
  push   0x18(%rsp)
  mov    %r15,%r9
  mov    %rbp,%rcx
  mov    %r12,%rdx
  push   0x18(%rsp)
  mov    %r14,%rsi
  mov    %ebx,%edi
  xor    %eax,%eax
  mov    0x18(%rsp),%r8
  call   <CalcParms@plt>
  mov    %r13,(%rsp)
  mov    %r12,%r9
  mov    %r15,%rsi
  push   0x18(%rsp)
  mov    %ebx,%edi
  xor    %eax,%eax
  push   %rbp
  mov    0x94(%rsp),%r8d
  mov    0x38(%rsp),%rcx
  mov    0x30(%rsp),%rdx
  call   <CalcError@plt>
  mov    0x94(%rsp),%edx
  mov    %ebx,%edi
  xor    %eax,%eax
  add    $0x20,%rsp
  mov    %r14,%rsi
  mov    %r13,%rcx
  call   <Search@plt>
  xor    %eax,%eax
  mov    %r13,%rdx
  mov    %r14,%rsi
  mov    %ebx,%edi
  call   <isDone@plt>
  test   %eax,%eax
  je     L183
  mov    %r14,%r12
L64:
  push   0x18(%rsp)
  xor    %eax,%eax
  mov    %r15,%r9
  mov    %rbp,%rcx
  push   0x18(%rsp)
  mov    %r12,%rsi
  mov    %ebx,%edi
  mov    0x18(%rsp),%r8
  mov    0x50(%rsp),%rdx
  call   <CalcParms@plt>
  pop    %rax
  pop    %rdx
  cmpl   $0xffffffff,0x48(%rsp)
  jl     L21
  pxor   %xmm7,%xmm7
  mov    %rbp,0x58(%rsp)
  xor    %r14d,%r14d
  mov    0x10(%rsp),%rbp
  cvtsi2sdl 0x48(%rsp),%xmm7
  mov    %r13,0x60(%rsp)
  mov    0x4c(%rsp),%r13d
  mov    %r12,0x68(%rsp)
  mov    0x18(%rsp),%r12
  movsd  %xmm7,0x28(%rsp)
  jmp    L355
  nopw   0x0(%rax,%rax,1)
L44:
  movsd  D19(%rip),%xmm0
  test   %r13d,%r13d
  jne    L68
  movsd  D37(%rip),%xmm0
L68:
  mulsd  %xmm1,%xmm0
  movsd  %xmm1,0x20(%rsp)
  divsd  0x28(%rsp),%xmm0
  call   <sin@plt>
  movsd  0x20(%rsp),%xmm1
  movapd %xmm0,%xmm2
L159:
  divsd  0x28(%rsp),%xmm1
  mov    %r12,%rcx
  movapd %xmm1,%xmm0
  mov    %rbp,%rdx
  mov    %r15,%rsi
  mov    %ebx,%edi
  mov    $0x1,%eax
  movsd  %xmm2,0x20(%rsp)
  call   <ComputeA@plt>
  pxor   %xmm0,%xmm0
  movsd  0x20(%rsp),%xmm2
  cvtsi2sd %eax,%xmm0
  mov    0x30(%rsp),%rax
  mulsd  %xmm2,%xmm0
  movsd  %xmm0,(%rax,%r14,8)
  add    $0x1,%r14
  cmp    %r14d,0x3c(%rsp)
  jl     L124
L355:
  pxor   %xmm1,%xmm1
  cmpl   $0x1,0x38(%rsp)
  cvtsi2sd %r14d,%xmm1
  jne    L44
  mov    D6(%rip),%rax
  movq   %rax,%xmm2
  test   %r13d,%r13d
  jne    L159
  movsd  D37(%rip),%xmm0
  movsd  %xmm1,0x20(%rsp)
  mulsd  %xmm1,%xmm0
  divsd  0x28(%rsp),%xmm0
  call   <cos@plt>
  movsd  0x20(%rsp),%xmm1
  movapd %xmm0,%xmm2
  jmp    L159
  nopw   0x0(%rax,%rax,1)
L124:
  mov    0x58(%rsp),%rbp
  mov    0x60(%rsp),%r13
  mov    0x68(%rsp),%r12
L21:
  mov    0x38(%rsp),%ecx
  mov    0x50(%rsp),%rdx
  xor    %eax,%eax
  mov    0x30(%rsp),%rsi
  mov    0x48(%rsp),%edi
  call   <FreqSample@plt>
  mov    0x40(%rsp),%rdi
  call   <free@plt>
  mov    0x8(%rsp),%rdi
  call   <free@plt>
  mov    %rbp,%rdi
  call   <free@plt>
  mov    %r13,%rdi
  call   <free@plt>
  mov    %r12,%rdi
  call   <free@plt>
  mov    0x10(%rsp),%rdi
  call   <free@plt>
  mov    0x18(%rsp),%rdi
  call   <free@plt>
  mov    0x78(%rsp),%rax
  sub    %fs:0x28,%rax
  jne    L25
  add    $0x88,%rsp
  mov    %r15,%rdi
  pop    %rbx
  pop    %rbp
  pop    %r12
  pop    %r13
  pop    %r14
  pop    %r15
  jmp    1120 <free@plt>
  nopl   (%rax)
L103:
  test   %esi,%esi
  je     L139
  mov    0x3c(%rsp),%eax
  movl   $0x0,0x74(%rsp)
  movl   $0x1,0x38(%rsp)
  lea    0x1(%rax),%ebx
  test   %edx,%edx
  jg     L115
L142:
  xor    %r12d,%r12d
  jmp    L200
  nopw   0x0(%rax,%rax,1)
L28:
  mov    0x4c(%rsp),%esi
  test   %esi,%esi
  jne    L11
  movslq 0x74(%rsp),%rax
  test   %eax,%eax
  jle    L11
  xor    %r14d,%r14d
  movsd  D37(%rip),%xmm7
  mov    %r13,0x28(%rsp)
  mov    %r12,0x58(%rsp)
  mov    0x8(%rsp),%r13
  mov    %r14,%r12
  mov    0x40(%rsp),%r14
  mov    %ebx,0x60(%rsp)
  mov    %rax,%rbx
  movsd  %xmm7,0x20(%rsp)
  nopl   0x0(%rax,%rax,1)
L114:
  movsd  0x20(%rsp),%xmm0
  mulsd  (%r14,%r12,8),%xmm0
  call   <cos@plt>
  movsd  0x0(%rbp,%r12,8),%xmm1
  divsd  %xmm0,%xmm1
  mulsd  0x0(%r13,%r12,8),%xmm0
  movsd  %xmm0,0x0(%r13,%r12,8)
  movsd  %xmm1,0x0(%rbp,%r12,8)
  add    $0x1,%r12
  cmp    %r12,%rbx
  jne    L114
  jmp    L56
  nop
L338:
  movslq 0x74(%rsp),%rdx
  test   %edx,%edx
  jle    L118
  movsd  D80(%rip),%xmm1
  mov    0x40(%rsp),%rsi
  xor    %eax,%eax
  mov    0x8(%rsp),%rcx
  nopl   0x0(%rax)
L133:
  movsd  0x0(%rbp,%rax,8),%xmm0
  comisd %xmm1,%xmm0
  jbe    L156
  movsd  (%rcx,%rax,8),%xmm0
  divsd  (%rsi,%rax,8),%xmm0
  movsd  %xmm0,(%rcx,%rax,8)
L156:
  add    $0x1,%rax
  cmp    %rax,%rdx
  jne    L133
  jmp    L118
  nopl   0x0(%rax)
L139:
  movl   $0x0,0x74(%rsp)
  mov    %eax,%ebx
  movl   $0x1,0x38(%rsp)
  test   %edx,%edx
  jg     L115
  jmp    L142
  nopw   0x0(%rax,%rax,1)
L53:
  lea    D38(%rip),%rdi
  mov    %r14,%r12
  call   <puts@plt>
  jmp    L64
L25:
  call   <__stack_chk_fail@plt>
```

tool_calls: name: unpack_data
arguments: data_label: D64
type: byte[8]
name: unpack_data
arguments: data_label: D19
type: f64
name: unpack_data
arguments: data_label: D37
type: f64
name: unpack_data
arguments: data_label: D6
type: byte[8]
name: unpack_data
arguments: data_label: D80
type: f64
name: unpack_data
arguments: data_label: D38
type: string

tool: {"D64": [0x00,0x00,0x00,0x00,0x00,0x00,0xe0,0x3f]}

tool: D19: 6.283185307179586

tool: D37: 3.141592653589793

tool: {"D6": [0x00,0x00,0x00,0x00,0x00,0x00,0xf0,0x3f]}

tool: D80: 0.0001

tool: D38: Reached maximum iteration count.
Results may be bad.

assistant: ```c
void remez(double h[], int numtaps, int numband, double bands[], double des[], double weight[], int type) {
  double *Grid, *W, *D, *E;
  int i, iter, gridsize, r, *Ext;
  double *taps, c;
  double *x, *y, *ad;
  int symmetry;
  if (type == 1)
    symmetry = 1;
  else
    symmetry = 0;
  r = numtaps / 2;
  if ((numtaps % 2) && (symmetry == 1))
    r++;
  gridsize = 0;
  for (i = 0; i < numband; i++) {
    gridsize += (int)(2 * r * 16 * (bands[2 * i + 1] - bands[2 * i]) + .5);
  }
  if (symmetry == 0) {
    gridsize--;
  }
  Grid = (double *)malloc(gridsize * sizeof(double));
  D = (double *)malloc(gridsize * sizeof(double));
  W = (double *)malloc(gridsize * sizeof(double));
  E = (double *)malloc(gridsize * sizeof(double));
  Ext = (int *)malloc((r + 1) * sizeof(int));
  taps = (double *)malloc((r + 1) * sizeof(double));
  x = (double *)malloc((r + 1) * sizeof(double));
  y = (double *)malloc((r + 1) * sizeof(double));
  ad = (double *)malloc((r + 1) * sizeof(double));
  CreateDenseGrid(r, numtaps, numband, bands, des, weight, &gridsize, Grid, D, W, symmetry);
  InitialGuess(r, Ext, gridsize);
  if (type == 2) {
    for (i = 0; i < gridsize; i++) {
      if (D[i] > 0.0001)
        W[i] = W[i] / Grid[i];
    }
  }
  if (symmetry == 1) {
    if (numtaps % 2 == 0) {
      for (i = 0; i < gridsize; i++) {
        c = cos(3.1415926535897932 * Grid[i]);
        D[i] /= c;
        W[i] *= c;
      }
    }
  } else {
    if (numtaps % 2) {
      for (i = 0; i < gridsize; i++) {
        c = sin(6.2831853071795865 * Grid[i]);
        D[i] /= c;
        W[i] *= c;
      }
    } else {
      for (i = 0; i < gridsize; i++) {
        c = sin(3.1415926535897932 * Grid[i]);
        D[i] /= c;
        W[i] *= c;
      }
    }
  }
  for (iter = 0; iter < 100; iter++) {
    CalcParms(r, Ext, Grid, D, W, ad, x, y);
    CalcError(r, ad, x, y, gridsize, Grid, D, W, E);
    Search(r, Ext, gridsize, E);
    if (isDone(r, Ext, E))
      break;
  }
  if (iter == 100) {
    printf("Reached maximum iteration count.\nResults may be bad.\n");
  }
  CalcParms(r, Ext, Grid, D, W, ad, x, y);
  for (i = 0; i <= numtaps / 2; i++) {
    if (symmetry == 1) {
      if (numtaps % 2)
        c = 1;
      else
        c = cos(3.1415926535897932 * (double)i / numtaps);
    } else {
      if (numtaps % 2)
        c = sin(6.2831853071795865 * (double)i / numtaps);
      else
        c = sin(3.1415926535897932 * (double)i / numtaps);
    }
    taps[i] = ComputeA((double)i / numtaps, r, ad, x, y) * c;
  }
  FreqSample(numtaps, taps, h, symmetry);
  free(Grid);
  free(W);
  free(D);
  free(E);
  free(Ext);
  free(x);
  free(y);
  free(ad);
}
```