Bug in perspective when zNear == 0

[Groovounet]

I find a bug in fucntion "perspective" which located at line 245 ~ 257 in glm/gtc/matrix_transform.inl.
When zNear = 0.0, the perspective matrix result is wrong.
because:
Result[0][0] = (2 * zNear) / (right - left)-----------------(1)
= (2* zNear) / (2.0 * tan(rad/2) * zNear aspect)--(2)
= 1.0 / (aspect * tan(rad/2))----------------(3)
Result[1][1] = (2 * zNear) / (right - left)------------------(1)
= (2 zNear) / (2.0 * tan(rad/2) * zNear )----(2)
= 1.0 / (tan(rad/2)) --------------------------(3)
your code use equation 2, when zNear = 0, it is make wrong result.
But if directly use equation 3, will reslut correct answer when zNear=0.
I don't know how to give this code into repository, so i send the modified
code in attachment.

template <typename valType> 
GLM_FUNC_QUALIFIER detail::tmat4x4<valType> perspective
(
    valType const & fovy, 
    valType const & aspect, 
    valType const & zNear, 
    valType const & zFar
)
{

ifdef GLM_FORCE_RADIANS

    valType const rad = fovy;

else

    valType const rad = glm::radians(fovy);

endif

// the bug for zNear = 0.0, because of float err accumulate
// valType range = tan(rad / valType(2)) * zNear;
// valType left = -range * aspect;
// valType right = range * aspect;
// valType bottom = -range;
// valType top = range;
// detail::tmat4x4 Result(valType(0));
// Result[0][0] = (valType(2) * zNear) / (right - left);
// Result[1][1] = (valType(2) * zNear) / (top - bottom);
// Result[2][2] = - (zFar + zNear) / (zFar - zNear);
// Result[2][3] = - valType(1);
// Result[3][2] = - (valType(2) * zFar * zNear) / (zFar - zNear);
// return Result;

    // fix the bug before
    valType tanHalfFovy = tan(rad / valType(2));
    detail::tmat4x4<valType> Result(valType(0));
    Result[0][0] = valType(1.0f) / (aspect * tanHalfFovy);
    Result[1][1] = valType(1.0f) / (tanHalfFovy);
    Result[2][2] = - (zFar + zNear) / (zFar - zNear);
    Result[2][3] = - valType(1);
    Result[3][2] = - (valType(2) * zFar * zNear) / (zFar - zNear);
    return Result;
}