```python
import sympy as sy
import numpy as np
```


```python
a, b, c, d, e, f, g, x = sy.symbols('a, b, c, d, e, f, g, x')
```


```python
sine = a*x**6 + b*x**5 + c*x**4 + d*x**3 + e*x**2 + f*x + g
```


```python
sine_d = sy.diff(sine, x)
```


```python
sine_i = sy.integrate(sine, x)
```


```python
the_system = [
    sine_i.subs(x, sy.pi / 2) - sine_i.subs(x, 0) - 1,
    sine_d.subs(x, 0) - 1,
    sine_d.subs(x, sy.pi / 2),
    sine_d.subs(x, sy.pi) + 1,
    sine.subs(x, 0),
    sine.subs(x, sy.pi/2) - 1,
    sine.subs(x, sy.pi)
]
```


```python
res = sy.solve(the_system, (a, b, c, d, e, f, g))
```


```python
for var, exp in res.items():
    print(var, exp, sy.srepr(exp))
```


```python
[x for x in dir(sy) if 'numpy' in x]
```


```python
sy.list2numpy([exp for var, exp in res.items()])
```


```python
np.array([exp for var, exp in res.items()])
```


```python
[x for x in dir(np) if 'sympy' in x]
```


```python
sine.subs(a, res[a]).subs(b, res[b]).subs(c, res[c])\
    .subs(d, res[d]).subs(e, res[e]).subs(f, res[f])\
    .subs(g, res[g]).__repr__()
```


```python
res[a]
```


```python
point = sy.geometry.Point3D(0,1,2)
```


```python
point.direction_ratio()
```


```python
import pytest
```


```python
pytest.param
```


```python
pytest.xfail
```


```python

```

08daaf2331bb63a1c3eaf51db32511799955fe03
ipynb
Jupyter Notebook
check out sympy.ipynb
sundial-pointcloud-geometry/explore
f2aca1b787a5bcc8a187fefdf5048451fca1b2e1
MIT
check out sympy.ipynb
sundial-pointcloud-geometry/explore
f2aca1b787a5bcc8a187fefdf5048451fca1b2e1
MIT
check out sympy.ipynb
sundial-pointcloud-geometry/explore
f2aca1b787a5bcc8a187fefdf5048451fca1b2e1
MIT
Qwen/Qwen-72B
1. YES
2. YES