first i use D3DFVF_XYZRHW, the effect is ok with D3DPT_POINTLIST, but i do not know how to arrange the vertex to draw the solid circle with D3DPT_TRIANGLELIST

then i move to D3DFVF_XYZ, i have to change the parameter of D3DXMatrixLookAtLH to suit the radius, but the drawing effect is awful

Why not with triangle fan?

D3DXVECTOR2* D3DXVec2Rotate(D3DXVECTOR2* vOut, D3DXVECTOR2* vIn, float rad, const D3DXVECTOR2* vCenter)
{
    float cr = std::cos(rad);
    float sr = std::sin(rad);

    float X = vIn->x;
    float Y = vIn->y;

    X -= vCenter->x;
    Y -= vCenter->y;

    vOut->x = X * cr - Y * sr;
    vOut->y = X * sr + Y * cr;

    vOut->x += vCenter->x;
    vOut->y += vCenter->y;

    return vOut;
}
 
...
struct VERTEX
    {
        D3DXVECTOR4 p;
    };

    static const std::size_t numPts = 20; // points cnt on circle
    std::vector<VERTEX> vVertices;
    d3d9device->SetFVF(D3DFVF_XYZRHW); // pre-tranformed vertex
    VERTEX center; // vertex in center of circle
    center.p = D3DXVECTOR4(500.0f, 400.0f, 0.0f, 1.0f); // set circle center on screen center (1000x800) / 2
    D3DXVECTOR2 ct(center.p.x, center.p.y);
    vVertices.push_back(center); // add center first beause of triangle fan "rule"
    static const float rad = 200.0f; // circle radius
    for(std::size_t i = 0; i < numPts; ++i)
    {
        float ang = (D3DX_PI * 2.0f) * ((float)i / (float)numPts);
        D3DXVECTOR2 pt(center.p.x + rad, center.p.y + rad);
        D3DXVec2Rotate(&pt, &pt, ang, &ct);
        VERTEX vert;
        vert.p = D3DXVECTOR4(pt.x, pt.y, 0.0f, 1.0f);
        vVertices.push_back(vert);
    }
    vVertices.push_back(vVertices[1]); // add first point (on circle) to close
    d3d9device->DrawPrimitiveUP( D3DPT_TRIANGLEFAN, numPts, &vVertices[0], sizeof(VERTEX) );

sinf and cosf is too slow

+1 What kauna said.

Alternative fast sin/cos

float fast_sin(float rad)
{
    static const float B = 4 / D3DX_PI;
    static const float C = -4 / (D3DX_PI * D3DX_PI);

    float y = B * rad + C * rad * std::abs(rad);
    return y;
}

float fast_cos(float rad)
{
    static const float B = 4 / D3DX_PI;
    static const float C = -4 / (D3DX_PI * D3DX_PI);

    rad += 1.57079632f;
    float y = B * rad + C * rad * std::abs(rad);
    return y;
}

http://devmaster.net/forums/topic/4648-fast-and-accurate-sinecosine/

My code above is just an example, you could precalculate most stuff at init time, no need to do that every frame.

i want to use Bresenham and D3DFVF_XYZ and D3DFILL_WIREFRAME, but no idea

Why not draw a line list then? You don't need to draw triangles in wireframe to get lines.

Cheers!

wireframe is an example

using Bresenham, the vertex is out of order, i have no idea how to arrange the vertex

using cosf and sinf according to the angle is simple, but not effecitve

What is the thing with Bresenham's algorithm? Can you make a drawing for us what you want to accomplish?

You want to draw a circle using points? That's highly inefficient (even more inefficient than using sin and cos btw).

Have you made some performance analysis which point out that sin and cos are your problem?

Best regards!

that algorithm is simple, and it works fine with D3DFVF_XYZRHW and D3DPT_POINTLIST

i want to apply it to D3DFVF_XYZ and solid circle