# CONST[0] = {0.159155, 0.5, 6.283185, -3.141593} # CONST[1] = {rotate, _, _, _} # each instruction is only allowed to use a single unique `const` address # # instructions may use multiple `temp` addresses, so const[1] is moved to # temp[0]: # temp[0].x = VE_ADD const[1].x___ const[1].0___ # ME_SIN and ME_COS are clamped to the range -π to +π prior to the sin/cos # calculation. # # This 3-instruction sequence linearly remaps the range [-∞,+∞] to [-π,+π] temp[1].x = VE_MAD temp[0].x___ const[0].x___ const[0].y___ temp[2].x = VE_FRC temp[1].x___ temp[3].x = VE_MAD temp[2].x___ const[0].z___ const[0].w___ temp[4].x = ME_SIN temp[3].___x temp[4].y = ME_COS temp[3].___x # with sin and cos calculated, this now ordinary two-dimensional rotation: # # x = position.x * cost - position.y * sint # y = position.x * sint + position.y * cost # z = 0 # w = 1 temp[5].xy = VE_MUL input[0].yy__ temp[4].xy__ out[0].xyzw = VE_MAD input[0].xx01 temp[4].yx01 temp[5].-xy00