user: Please show me the C implementation that matches the assembly code listed below:

```asm
<trapizoidalRule2D>:
  endbr64
  push   %r15
  push   %r14
  push   %r13
  push   %r12
  push   %rbp
  push   %rbx
  sub    $0x78,%rsp
  mov    %rdi,%rbx
  movq   %xmm1,%r15
  movq   %xmm3,%r14
  mov    %esi,%ebp
  mov    %edx,%r13d
  mov    %fs:0x28,%rax
  mov    %rax,0x68(%rsp)
  xor    %eax,%eax
  movapd %xmm0,%xmm3
  subsd  %xmm0,%xmm1
  pxor   %xmm0,%xmm0
  cvtsi2sd %edx,%xmm0
  divsd  %xmm0,%xmm1
  movsd  %xmm1,0x28(%rsp)
  movq   %r14,%xmm1
  subsd  %xmm2,%xmm1
  pxor   %xmm0,%xmm0
  cvtsi2sd %esi,%xmm0
  divsd  %xmm0,%xmm1
  movsd  %xmm1,0x10(%rsp)
  movq   $0x0,0x38(%rsp)
  movq   $0x0,0x40(%rsp)
  movq   $0x0,0x48(%rsp)
  movq   $0x0,0x50(%rsp)
  movq   $0x0,0x58(%rsp)
  movsd  %xmm2,0x8(%rsp)
  movapd %xmm2,%xmm1
  movsd  %xmm3,0x20(%rsp)
  movapd %xmm3,%xmm0
  call   *%rdi
  movq   %xmm0,%r12
  movsd  0x8(%rsp),%xmm1
  movq   %r15,%xmm0
  call   *%rbx
  movq   %r12,%xmm2
  addsd  %xmm0,%xmm2
  movsd  %xmm2,0x18(%rsp)
  movq   %r14,%xmm1
  movsd  0x20(%rsp),%xmm0
  call   *%rbx
  addsd  0x18(%rsp),%xmm0
  movsd  %xmm0,0x18(%rsp)
  movq   %r14,%xmm1
  movq   %r15,%xmm0
  call   *%rbx
  addsd  0x18(%rsp),%xmm0
  movsd  %xmm0,0x30(%rsp)
  cmp    $0x1,%r13d
  jle    L39
  mov    $0x1,%r12d
L69:
  pxor   %xmm0,%xmm0
  cvtsi2sd %r12d,%xmm0
  mulsd  0x28(%rsp),%xmm0
  addsd  0x20(%rsp),%xmm0
  movsd  %xmm0,0x18(%rsp)
  movsd  0x8(%rsp),%xmm1
  call   *%rbx
  addsd  0x38(%rsp),%xmm0
  movsd  %xmm0,0x38(%rsp)
  movq   %r14,%xmm1
  movsd  0x18(%rsp),%xmm0
  call   *%rbx
  addsd  0x40(%rsp),%xmm0
  movsd  %xmm0,0x40(%rsp)
  add    $0x1,%r12d
  cmp    %r12d,%r13d
  jne    L69
L39:
  cmp    $0x1,%ebp
  jle    L107
  mov    $0x1,%r14d
L60:
  pxor   %xmm0,%xmm0
  cvtsi2sd %r14d,%xmm0
  mulsd  0x10(%rsp),%xmm0
  addsd  0x8(%rsp),%xmm0
  movq   %xmm0,%r12
  movapd %xmm0,%xmm1
  movsd  0x20(%rsp),%xmm0
  call   *%rbx
  addsd  0x48(%rsp),%xmm0
  movsd  %xmm0,0x48(%rsp)
  movq   %r12,%xmm1
  movq   %r15,%xmm0
  call   *%rbx
  addsd  0x50(%rsp),%xmm0
  movsd  %xmm0,0x50(%rsp)
  add    $0x1,%r14d
  cmp    %r14d,%ebp
  jne    L60
L107:
  lea    0x30(%rsp),%r15
  lea    0x50(%rsp),%rdx
  mov    %r15,%rax
L17:
  movsd  0x8(%rax),%xmm0
  addsd  %xmm0,%xmm0
  movsd  %xmm0,0x8(%rax)
  add    $0x8,%rax
  cmp    %rax,%rdx
  jne    L17
  mov    $0x1,%r14d
  cmp    $0x1,%r13d
  jg     L31
L56:
  movsd  D6(%rip),%xmm0
  mulsd  0x58(%rsp),%xmm0
  movsd  %xmm0,0x58(%rsp)
  lea    0x30(%r15),%rax
  pxor   %xmm1,%xmm1
L40:
  addsd  (%r15),%xmm1
  add    $0x8,%r15
  cmp    %rax,%r15
  jne    L40
  movsd  0x28(%rsp),%xmm0
  mulsd  0x10(%rsp),%xmm0
  mulsd  D14(%rip),%xmm0
  mulsd  %xmm1,%xmm0
  mov    0x68(%rsp),%rax
  sub    %fs:0x28,%rax
  jne    L82
  add    $0x78,%rsp
  pop    %rbx
  pop    %rbp
  pop    %r12
  pop    %r13
  pop    %r14
  pop    %r15
  ret
L86:
  pxor   %xmm0,%xmm0
  cvtsi2sd %r14d,%xmm0
  mulsd  0x28(%rsp),%xmm0
  addsd  0x20(%rsp),%xmm0
  movsd  %xmm0,0x18(%rsp)
  mov    $0x1,%r12d
L28:
  pxor   %xmm1,%xmm1
  cvtsi2sd %r12d,%xmm1
  mulsd  0x10(%rsp),%xmm1
  addsd  0x8(%rsp),%xmm1
  movsd  0x18(%rsp),%xmm0
  call   *%rbx
  addsd  0x58(%rsp),%xmm0
  movsd  %xmm0,0x58(%rsp)
  add    $0x1,%r12d
  cmp    %r12d,%ebp
  jne    L28
L21:
  add    $0x1,%r14d
  cmp    %r14d,%r13d
  je     L56
L31:
  cmp    $0x1,%ebp
  jg     L86
  jmp    L21
L82:
  call   <__stack_chk_fail@plt>
```

tool_calls: name: parse_data
arguments: tag: D6
type_infered: f32[2]
name: parse_data
arguments: tag: D14
type_infered: f32[2]

tool: {"D6": [0.0,2.25]}

tool: {"D14": [0.0,1.625]}

assistant: ```c
double trapizoidalRule2D(double (*f)(double, double), double a, double b, double c, double d, int n, int m) {
  int i, j;
  double sum[6], h, k, integral = 0, x, y;
  h = (b - a) / (double)m;
  k = (d - c) / (double)n;
  for (i = 0; i < 6; i++)
    sum[i] = 0;
  sum[0] = f(a, c) + f(b, c) + f(a, d) + f(b, d);
  for (i = 1; i < m; i++) {
    x = a + (i * h);
    sum[1] += f(x, c);
    sum[2] += f(x, d);
  }
  for (j = 1; j < n; j++) {
    y = c + (j * k);
    sum[3] += f(a, y);
    sum[4] += f(b, y);
  }
  for (i = 1; i < 5; i++)
    sum[i] *= 2;
  for (i = 1; i < m; i++) {
    for (j = 1; j < n; j++) {
      x = a + (i * h);
      y = c + (j * k);
      sum[5] += f(x, y);
    }
  }
  sum[5] *= 4;
  for (i = 0; i < 6; i++)
    integral += sum[i];
  integral = ((h * k) / 4) * integral;
  return integral;
}
```