/* * rot.h * * FUNCTION: * rotation matrix utilities * * HISTORY: * Linas Vepstas Aug 1990 */ /* ========================================================== */ /* * The MACROS below generate and return more traditional rotation * matrices -- matrices for rotations about principal axes. */ /* ========================================================== */ #define ROTX_CS(m,cosine,sine) \ { \ /* rotation about the x-axis */ \ \ m[0][0] = 1.0; \ m[0][1] = 0.0; \ m[0][2] = 0.0; \ m[0][3] = 0.0; \ \ m[1][0] = 0.0; \ m[1][1] = (cosine); \ m[1][2] = (sine); \ m[1][3] = 0.0; \ \ m[2][0] = 0.0; \ m[2][1] = -(sine); \ m[2][2] = (cosine); \ m[2][3] = 0.0; \ \ m[3][0] = 0.0; \ m[3][1] = 0.0; \ m[3][2] = 0.0; \ m[3][3] = 1.0; \ } /* ========================================================== */ #define ROTY_CS(m,cosine,sine) \ { \ /* rotation about the y-axis */ \ \ m[0][0] = (cosine); \ m[0][1] = 0.0; \ m[0][2] = -(sine); \ m[0][3] = 0.0; \ \ m[1][0] = 0.0; \ m[1][1] = 1.0; \ m[1][2] = 0.0; \ m[1][3] = 0.0; \ \ m[2][0] = (sine); \ m[2][1] = 0.0; \ m[2][2] = (cosine); \ m[2][3] = 0.0; \ \ m[3][0] = 0.0; \ m[3][1] = 0.0; \ m[3][2] = 0.0; \ m[3][3] = 1.0; \ } /* ========================================================== */ #define ROTZ_CS(m,cosine,sine) \ { \ /* rotation about the z-axis */ \ \ m[0][0] = (cosine); \ m[0][1] = (sine); \ m[0][2] = 0.0; \ m[0][3] = 0.0; \ \ m[1][0] = -(sine); \ m[1][1] = (cosine); \ m[1][2] = 0.0; \ m[1][3] = 0.0; \ \ m[2][0] = 0.0; \ m[2][1] = 0.0; \ m[2][2] = 1.0; \ m[2][3] = 0.0; \ \ m[3][0] = 0.0; \ m[3][1] = 0.0; \ m[3][2] = 0.0; \ m[3][3] = 1.0; \ } /* ========================================================== */