123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213 |
- //This file is automatically rebuilt by the Cesium build process.
- export default "/**\n\
- * @private\n\
- */\n\
- vec2 cordic(float angle)\n\
- {\n\
- // Scale the vector by the appropriate factor for the 24 iterations to follow.\n\
- vec2 vector = vec2(6.0725293500888267e-1, 0.0);\n\
- // Iteration 1\n\
- float sense = (angle < 0.0) ? -1.0 : 1.0;\n\
- // float factor = sense * 1.0; // 2^-0\n\
- mat2 rotation = mat2(1.0, sense, -sense, 1.0);\n\
- vector = rotation * vector;\n\
- angle -= sense * 7.8539816339744828e-1; // atan(2^-0)\n\
- // Iteration 2\n\
- sense = (angle < 0.0) ? -1.0 : 1.0;\n\
- float factor = sense * 5.0e-1; // 2^-1\n\
- rotation[0][1] = factor;\n\
- rotation[1][0] = -factor;\n\
- vector = rotation * vector;\n\
- angle -= sense * 4.6364760900080609e-1; // atan(2^-1)\n\
- // Iteration 3\n\
- sense = (angle < 0.0) ? -1.0 : 1.0;\n\
- factor = sense * 2.5e-1; // 2^-2\n\
- rotation[0][1] = factor;\n\
- rotation[1][0] = -factor;\n\
- vector = rotation * vector;\n\
- angle -= sense * 2.4497866312686414e-1; // atan(2^-2)\n\
- // Iteration 4\n\
- sense = (angle < 0.0) ? -1.0 : 1.0;\n\
- factor = sense * 1.25e-1; // 2^-3\n\
- rotation[0][1] = factor;\n\
- rotation[1][0] = -factor;\n\
- vector = rotation * vector;\n\
- angle -= sense * 1.2435499454676144e-1; // atan(2^-3)\n\
- // Iteration 5\n\
- sense = (angle < 0.0) ? -1.0 : 1.0;\n\
- factor = sense * 6.25e-2; // 2^-4\n\
- rotation[0][1] = factor;\n\
- rotation[1][0] = -factor;\n\
- vector = rotation * vector;\n\
- angle -= sense * 6.2418809995957350e-2; // atan(2^-4)\n\
- // Iteration 6\n\
- sense = (angle < 0.0) ? -1.0 : 1.0;\n\
- factor = sense * 3.125e-2; // 2^-5\n\
- rotation[0][1] = factor;\n\
- rotation[1][0] = -factor;\n\
- vector = rotation * vector;\n\
- angle -= sense * 3.1239833430268277e-2; // atan(2^-5)\n\
- // Iteration 7\n\
- sense = (angle < 0.0) ? -1.0 : 1.0;\n\
- factor = sense * 1.5625e-2; // 2^-6\n\
- rotation[0][1] = factor;\n\
- rotation[1][0] = -factor;\n\
- vector = rotation * vector;\n\
- angle -= sense * 1.5623728620476831e-2; // atan(2^-6)\n\
- // Iteration 8\n\
- sense = (angle < 0.0) ? -1.0 : 1.0;\n\
- factor = sense * 7.8125e-3; // 2^-7\n\
- rotation[0][1] = factor;\n\
- rotation[1][0] = -factor;\n\
- vector = rotation * vector;\n\
- angle -= sense * 7.8123410601011111e-3; // atan(2^-7)\n\
- // Iteration 9\n\
- sense = (angle < 0.0) ? -1.0 : 1.0;\n\
- factor = sense * 3.90625e-3; // 2^-8\n\
- rotation[0][1] = factor;\n\
- rotation[1][0] = -factor;\n\
- vector = rotation * vector;\n\
- angle -= sense * 3.9062301319669718e-3; // atan(2^-8)\n\
- // Iteration 10\n\
- sense = (angle < 0.0) ? -1.0 : 1.0;\n\
- factor = sense * 1.953125e-3; // 2^-9\n\
- rotation[0][1] = factor;\n\
- rotation[1][0] = -factor;\n\
- vector = rotation * vector;\n\
- angle -= sense * 1.9531225164788188e-3; // atan(2^-9)\n\
- // Iteration 11\n\
- sense = (angle < 0.0) ? -1.0 : 1.0;\n\
- factor = sense * 9.765625e-4; // 2^-10\n\
- rotation[0][1] = factor;\n\
- rotation[1][0] = -factor;\n\
- vector = rotation * vector;\n\
- angle -= sense * 9.7656218955931946e-4; // atan(2^-10)\n\
- // Iteration 12\n\
- sense = (angle < 0.0) ? -1.0 : 1.0;\n\
- factor = sense * 4.8828125e-4; // 2^-11\n\
- rotation[0][1] = factor;\n\
- rotation[1][0] = -factor;\n\
- vector = rotation * vector;\n\
- angle -= sense * 4.8828121119489829e-4; // atan(2^-11)\n\
- // Iteration 13\n\
- sense = (angle < 0.0) ? -1.0 : 1.0;\n\
- factor = sense * 2.44140625e-4; // 2^-12\n\
- rotation[0][1] = factor;\n\
- rotation[1][0] = -factor;\n\
- vector = rotation * vector;\n\
- angle -= sense * 2.4414062014936177e-4; // atan(2^-12)\n\
- // Iteration 14\n\
- sense = (angle < 0.0) ? -1.0 : 1.0;\n\
- factor = sense * 1.220703125e-4; // 2^-13\n\
- rotation[0][1] = factor;\n\
- rotation[1][0] = -factor;\n\
- vector = rotation * vector;\n\
- angle -= sense * 1.2207031189367021e-4; // atan(2^-13)\n\
- // Iteration 15\n\
- sense = (angle < 0.0) ? -1.0 : 1.0;\n\
- factor = sense * 6.103515625e-5; // 2^-14\n\
- rotation[0][1] = factor;\n\
- rotation[1][0] = -factor;\n\
- vector = rotation * vector;\n\
- angle -= sense * 6.1035156174208773e-5; // atan(2^-14)\n\
- // Iteration 16\n\
- sense = (angle < 0.0) ? -1.0 : 1.0;\n\
- factor = sense * 3.0517578125e-5; // 2^-15\n\
- rotation[0][1] = factor;\n\
- rotation[1][0] = -factor;\n\
- vector = rotation * vector;\n\
- angle -= sense * 3.0517578115526096e-5; // atan(2^-15)\n\
- // Iteration 17\n\
- sense = (angle < 0.0) ? -1.0 : 1.0;\n\
- factor = sense * 1.52587890625e-5; // 2^-16\n\
- rotation[0][1] = factor;\n\
- rotation[1][0] = -factor;\n\
- vector = rotation * vector;\n\
- angle -= sense * 1.5258789061315762e-5; // atan(2^-16)\n\
- // Iteration 18\n\
- sense = (angle < 0.0) ? -1.0 : 1.0;\n\
- factor = sense * 7.62939453125e-6; // 2^-17\n\
- rotation[0][1] = factor;\n\
- rotation[1][0] = -factor;\n\
- vector = rotation * vector;\n\
- angle -= sense * 7.6293945311019700e-6; // atan(2^-17)\n\
- // Iteration 19\n\
- sense = (angle < 0.0) ? -1.0 : 1.0;\n\
- factor = sense * 3.814697265625e-6; // 2^-18\n\
- rotation[0][1] = factor;\n\
- rotation[1][0] = -factor;\n\
- vector = rotation * vector;\n\
- angle -= sense * 3.8146972656064961e-6; // atan(2^-18)\n\
- // Iteration 20\n\
- sense = (angle < 0.0) ? -1.0 : 1.0;\n\
- factor = sense * 1.9073486328125e-6; // 2^-19\n\
- rotation[0][1] = factor;\n\
- rotation[1][0] = -factor;\n\
- vector = rotation * vector;\n\
- angle -= sense * 1.9073486328101870e-6; // atan(2^-19)\n\
- // Iteration 21\n\
- sense = (angle < 0.0) ? -1.0 : 1.0;\n\
- factor = sense * 9.5367431640625e-7; // 2^-20\n\
- rotation[0][1] = factor;\n\
- rotation[1][0] = -factor;\n\
- vector = rotation * vector;\n\
- angle -= sense * 9.5367431640596084e-7; // atan(2^-20)\n\
- // Iteration 22\n\
- sense = (angle < 0.0) ? -1.0 : 1.0;\n\
- factor = sense * 4.76837158203125e-7; // 2^-21\n\
- rotation[0][1] = factor;\n\
- rotation[1][0] = -factor;\n\
- vector = rotation * vector;\n\
- angle -= sense * 4.7683715820308884e-7; // atan(2^-21)\n\
- // Iteration 23\n\
- sense = (angle < 0.0) ? -1.0 : 1.0;\n\
- factor = sense * 2.384185791015625e-7; // 2^-22\n\
- rotation[0][1] = factor;\n\
- rotation[1][0] = -factor;\n\
- vector = rotation * vector;\n\
- angle -= sense * 2.3841857910155797e-7; // atan(2^-22)\n\
- // Iteration 24\n\
- sense = (angle < 0.0) ? -1.0 : 1.0;\n\
- factor = sense * 1.1920928955078125e-7; // 2^-23\n\
- rotation[0][1] = factor;\n\
- rotation[1][0] = -factor;\n\
- vector = rotation * vector;\n\
- // angle -= sense * 1.1920928955078068e-7; // atan(2^-23)\n\
- \n\
- return vector;\n\
- }\n\
- \n\
- /**\n\
- * Computes the cosine and sine of the provided angle using the CORDIC algorithm.\n\
- *\n\
- * @name czm_cosineAndSine\n\
- * @glslFunction\n\
- *\n\
- * @param {float} angle The angle in radians.\n\
- *\n\
- * @returns {vec2} The resulting cosine of the angle (as the x coordinate) and sine of the angle (as the y coordinate).\n\
- *\n\
- * @example\n\
- * vec2 v = czm_cosineAndSine(czm_piOverSix);\n\
- * float cosine = v.x;\n\
- * float sine = v.y;\n\
- */\n\
- vec2 czm_cosineAndSine(float angle)\n\
- {\n\
- if (angle < -czm_piOverTwo || angle > czm_piOverTwo)\n\
- {\n\
- if (angle < 0.0)\n\
- {\n\
- return -cordic(angle + czm_pi);\n\
- }\n\
- else\n\
- {\n\
- return -cordic(angle - czm_pi);\n\
- }\n\
- }\n\
- else\n\
- {\n\
- return cordic(angle);\n\
- }\n\
- }\n\
- ";
|