/** * plz refer [git](https://github.com/xiezhq-hermann/atan_lookup) * input range is `all real numbers` and output range is -pi/2 < x < pi/2, * you can refer [here](https://www.mathopenref.com/arctan.html) for more * details */ // // xiezhq@shanghaitech.edu.cn && wanghe@shanghaitech.edu.cn /* Reference: [1] Abhisek Ukil, Vishal H Shah, Bernhard Deck, "Fast Computation of arctangent Functions for Embedded Applications: A Comparative Analysis" IEEE International Symposium on Industrial Electronics, Pages: 1206 - 1211, DOI: 10.1109/ISIE.2011.5984330, 2011 [2] Sreeraman Rajan, Sichun Wang, Robert Inkol, and Alain Joyal "Efficient Approximations for the Arctangent Function" IEEE SIGNAL PROCESSING MAGAZINE [108] MAY 2006 */ #include #include #define OUT #define IN #include #include #include #include #include #include //#define DBG using namespace std; #if 0 double atan_double(double x) { /* More precise look-up table is used for higher accuracy */ if (x >= 0) { if (x <= 1) { int index = round(x * 100); return (LUT_d[index] + (x * 100 - index) * (LUT_d[index + 1] - LUT_d[index])); } else { double re_x = 1 / x; int index = round(re_x * 100); return (M_PI_2 - (LUT_d[index] + (re_x * 100 - index) * (LUT_d[index + 1] - LUT_d[index]))); // No recursive is better here } } else { if (x >= -1) { double abs_x = -x; int index = round(abs_x * 100); return -(LUT_d[index] + (abs_x * 100 - index) * (LUT_d[index + 1] - LUT_d[index])); } else { double re_x = 1 / (-x); int index = round(re_x * 100); return (LUT_d[index] + (re_x * 100 - index) * (LUT_d[index+1] - LUT_d[index])) - M_PI_2; } } } #endif /** * pre_data means we test fixed pattern, it should be same sa lut */ enum TEST_MODE { PRE_DATA_COMPARE_FIX = 0, // pre-data + fix compare DATA_COMPARE_ACCURACY, // generate \range_start to \range_end value that // check epsilon DATA_COMPARE_U8, // generate \range_start to \range_end value that check // epsilon, result bf16->uint8_t TEST_MODE_MAX, }; static TEST_MODE mode; static uint16_t test_pattern[] = { 0x0000, 0x38D2, 0x3952, 0x399D, 0x39D2, 0x3A03, 0x3A1D, 0x3A38, 0x3A52, 0x3A6C, 0x3A83, 0x3A90, 0x3A9D, 0x3AAA, 0x3AB8, 0x3AC5, 0x3AD2, 0x3ADF, 0x3AEC, 0x3AF9, 0x3B03, 0x3B0A, 0x3B10, 0x3B17, 0x3B1D, 0x3B24, 0x3B2A, 0x3B31, 0x3B38, 0x3B3E, 0x3B45, 0x3B4B, 0x3B52, 0x3B58, 0x3B5F, 0x3B65, 0x3B6C, 0x3B72, 0x3B79, 0x3B80, 0x3B83, 0x3B86, 0x3B8A, 0x3B8D, 0x3B90, 0x3B93, 0x3B97, 0x3B9A, 0x3B9D, 0x3BA1, 0x3BA4, 0x3BA7, 0x3BAA, 0x3BAE, 0x3BB1, 0x3BB4, 0x3BB8, 0x3BBB, 0x3BBE, 0x3BC1, 0x3BC5, 0x3BC8, 0x3BCB, 0x3BCE, 0x3BD2, 0x3BD5, 0x3BD8, 0x3BDC, 0x3BDF, 0x3BE2, 0x3BE5, 0x3BE9, 0x3BEC, 0x3BEF, 0x3BF2, 0x3BF6, 0x3BF9, 0x3BFC, 0x3C00, 0x3C01, 0x3C03, 0x3C05, 0x3C06, 0x3C08, 0x3C0A, 0x3C0B, 0x3C0D, 0x3C0F, 0x3C10, 0x3C12, 0x3C13, 0x3C15, 0x3C17, 0x3C18, 0x3C1A, 0x3C1C, 0x3C1D, 0x3C1F, 0x3C21, 0x3C22, 0x3C24, 0x3C25, 0x3C27, 0x3C29, 0x3C2A, 0x3C2C, 0x3C2E, 0x3C2F, 0x3C31, 0x3C33, 0x3C34, 0x3C36, 0x3C38, 0x3C39, 0x3C3B, 0x3C3C, 0x3C3E, 0x3C40, 0x3C41, 0x3C43, 0x3C45, 0x3C46, 0x3C48, 0x3C4A, 0x3C4B, 0x3C4D, 0x3C4E, 0x3C50, 0x3C52, 0x3C53, 0x3C55, 0x3C57, 0x3C58, 0x3C5A, 0x3C5C, 0x3C5D, 0x3C5F, 0x3C60, 0x3C62, 0x3C64, 0x3C65, 0x3C67, 0x3C69, 0x3C6A, 0x3C6C, 0x3C6E, 0x3C6F, 0x3C71, 0x3C72, 0x3C74, 0x3C76, 0x3C77, 0x3C79, 0x3C7B, 0x3C7C, 0x3C7E, 0x3C80, 0x3C81, 0x3C81, 0x3C82, 0x3C83, 0x3C84, 0x3C85, 0x3C86, 0x3C86, 0x3C87, 0x3C88, 0x3C89, 0x3C8A, 0x3C8A, 0x3C8B, 0x3C8C, 0x3C8D, 0x3C8E, 0x3C8F, 0x3C8F, 0x3C90, 0x3C91, 0x3C92, 0x3C93, 0x3C93, 0x3C94, 0x3C95, 0x3C96, 0x3C97, 0x3C98, 0x3C98, 0x3C99, 0x3C9A, 0x3C9B, 0x3C9C, 0x3C9C, 0x3C9D, 0x3C9E, 0x3C9F, 0x3CA0, 0x3CA1, 0x3CA1, 0x3CA2, 0x3CA3, 0x3CA4, 0x3CA5, 0x3CA5, 0x3CA6, 0x3CA7, 0x3CA8, 0x3CA9, 0x3CAA, 0x3CAA, 0x3CAB, 0x3CAC, 0x3CAD, 0x3CAE, 0x3CAE, 0x3CAF, 0x3CB0, 0x3CB1, 0x3CB2, 0x3CB3, 0x3CB3, 0x3CB4, 0x3CB5, 0x3CB6, 0x3CB7, 0x3CB8, 0x3CB8, 0x3CB9, 0x3CBA, 0x3CBB, 0x3CBC, 0x3CBC, 0x3CBD, 0x3CBE, 0x3CBF, 0x3CC0, 0x3CC1, 0x3CC1, 0x3CC2, 0x3CC3, 0x3CC4, 0x3CC5, 0x3CC5, 0x3CC6, 0x3CC7, 0x3CC8, 0x3CC9, 0x3CCA, 0x3CCA, 0x3CCB, 0x3CCC, 0x3CCD, 0x3CCE, 0x3CCE, 0x3CCF, 0x3CD0, 0x3CD1, 0x3CD2, 0x3CD3, 0x3CD3, 0x3CD4, 0x3CD5, 0x3CD6, 0x3CD7, 0x3CD7, 0x3CD8, 0x3CD9, 0x3CDA, 0x3CDB, 0x3CDC, 0x3CDC, 0x3CDD, 0x3CDE, 0x3CDF, 0x3CE0, 0x3CE0, 0x3CE1, 0x3CE2, 0x3CE3, 0x3CE4, 0x3CE5, 0x3CE5, 0x3CE6, 0x3CE7, 0x3CE8, 0x3CE9, 0x3CE9, 0x3CEA, 0x3CEB, 0x3CEC, 0x3CED, 0x3CEE, 0x3CEE, 0x3CEF, 0x3CF0, 0x3CF1, 0x3CF2, 0x3CF2, 0x3CF3, 0x3CF4, 0x3CF5, 0x3CF6, 0x3CF7, 0x3CF7, 0x3CF8, 0x3CF9, 0x3CFA, 0x3CFB, 0x3CFB, 0x3CFC, 0x3CFD, 0x3CFE, 0x3CFF, 0x3D00, 0x3D00, 0x3D01, 0x3D01, 0x3D01, 0x3D02, 0x3D02, 0x3D03, 0x3D03, 0x3D03, 0x3D04, 0x3D04, 0x3D05, 0x3D05, 0x3D06, 0x3D06, 0x3D06, 0x3D07, 0x3D07, 0x3D08, 0x3D08, 0x3D08, 0x3D09, 0x3D09, 0x3D0A, 0x3D0A, 0x3D0A, 0x3D0B, 0x3D0B, 0x3D0C, 0x3D0C, 0x3D0C, 0x3D0D, 0x3D0D, 0x3D0E, 0x3D0E, 0x3D0F, 0x3D0F, 0x3D0F, 0x3D10, 0x3D10, 0x3D11, 0x3D11, 0x3D11, 0x3D12, 0x3D12, 0x3D13, 0x3D13, 0x3D13, 0x3D14, 0x3D14, 0x3D15, 0x3D15, 0x3D16, 0x3D16, 0x3D16, 0x3D17, 0x3D17, 0x3D18, 0x3D18, 0x3D18, 0x3D19, 0x3D19, 0x3D1A, 0x3D1A, 0x3D1A, 0x3D1B, 0x3D1B, 0x3D1C, 0x3D1C, 0x3D1C, 0x3D1D, 0x3D1D, 0x3D1E, 0x3D1E, 0x3D1F, 0x3D1F, 0x3D1F, 0x3D20, 0x3D20, 0x3D21, 0x3D21, 0x3D21, 0x3D22, 0x3D22, 0x3D23, 0x3D23, 0x3D23, 0x3D24, 0x3D24, 0x3D25, 0x3D25, 0x3D25, 0x3D26, 0x3D26, 0x3D27, 0x3D27, 0x3D28, 0x3D28, 0x3D28, 0x3D29, 0x3D29, 0x3D2A, 0x3D2A, 0x3D2A, 0x3D2B, 0x3D2B, 0x3D2C, 0x3D2C, 0x3D2C, 0x3D2D, 0x3D2D, 0x3D2E, 0x3D2E, 0x3D2E, 0x3D2F, 0x3D2F, 0x3D30, 0x3D30, 0x3D31, 0x3D31, 0x3D31, 0x3D32, 0x3D32, 0x3D33, 0x3D33, 0x3D33, 0x3D34, 0x3D34, 0x3D35, 0x3D35, 0x3D35, 0x3D36, 0x3D36, 0x3D37, 0x3D37, 0x3D38, 0x3D38, 0x3D38, 0x3D39, 0x3D39, 0x3D3A, 0x3D3A, 0x3D3A, 0x3D3B, 0x3D3B, 0x3D3C, 0x3D3C, 0x3D3C, 0x3D3D, 0x3D3D, 0x3D3E, 0x3D3E, 0x3D3E, 0x3D3F, 0x3D3F, 0x3D40, 0x3D40, 0x3D41, 0x3D41, 0x3D41, 0x3D42, 0x3D42, 0x3D43, 0x3D43, 0x3D43, 0x3D44, 0x3D44, 0x3D45, 0x3D45, 0x3D45, 0x3D46, 0x3D46, 0x3D47, 0x3D47, 0x3D47, 0x3D48, 0x3D48, 0x3D49, 0x3D49, 0x3D4A, 0x3D4A, 0x3D4A, 0x3D4B, 0x3D4B, 0x3D4C, 0x3D4C, 0x3D4C, 0x3D4D, 0x3D4D, 0x3D4E, 0x3D4E, 0x3D4E, 0x3D4F, 0x3D4F, 0x3D50, 0x3D50, 0x3D50, 0x3D51, 0x3D51, 0x3D52, 0x3D52, 0x3D53, 0x3D53, 0x3D53, 0x3D54, 0x3D54, 0x3D55, 0x3D55, 0x3D55, 0x3D56, 0x3D56, 0x3D57, 0x3D57, 0x3D57, 0x3D58, 0x3D58, 0x3D59, 0x3D59, 0x3D59, 0x3D5A, 0x3D5A, 0x3D5B, 0x3D5B, 0x3D5C, 0x3D5C, 0x3D5C, 0x3D5D, 0x3D5D, 0x3D5E, 0x3D5E, 0x3D5E, 0x3D5F, 0x3D5F, 0x3D60, 0x3D60, 0x3D60, 0x3D61, 0x3D61, 0x3D62, 0x3D62, 0x3D63, 0x3D63, 0x3D63, 0x3D64, 0x3D64, 0x3D65, 0x3D65, 0x3D65, 0x3D66, 0x3D66, 0x3D67, 0x3D67, 0x3D67, 0x3D68, 0x3D68, 0x3D69, 0x3D69, 0x3D69, 0x3D6A, 0x3D6A, 0x3D6B, 0x3D6B, 0x3D6C, 0x3D6C, 0x3D6C, 0x3D6D, 0x3D6D, 0x3D6E, 0x3D6E, 0x3D6E, 0x3D6F, 0x3D6F, 0x3D70, 0x3D70, 0x3D70, 0x3D71, 0x3D71, 0x3D72, 0x3D72, 0x3D72, 0x3D73, 0x3D73, 0x3D74, 0x3D74, 0x3D75, 0x3D75, 0x3D75, 0x3D76, 0x3D76, 0x3D77, 0x3D77, 0x3D77, 0x3D78, 0x3D78, 0x3D79, 0x3D79, 0x3D79, 0x3D7A, 0x3D7A, 0x3D7B, 0x3D7B, 0x3D7B, 0x3D7C, 0x3D7C, 0x3D7D, 0x3D7D, 0x3D7E, 0x3D7E, 0x3D7E, 0x3D7F, 0x3D7F, 0x3D80, 0x3D80, 0x3D80, 0x3D80, 0x3D81, 0x3D81, 0x3D81, 0x3D81, 0x3D81, 0x3D82, 0x3D82, 0x3D82, 0x3D82, 0x3D82, 0x3D83, 0x3D83, 0x3D83, 0x3D83, 0x3D83, 0x3D84, 0x3D84, 0x3D84, 0x3D84, 0x3D85, 0x3D85, 0x3D85, 0x3D85, 0x3D85, 0x3D86, 0x3D86, 0x3D86, 0x3D86, 0x3D86, 0x3D87, 0x3D87, 0x3D87, 0x3D87, 0x3D87, 0x3D88, 0x3D88, 0x3D88, 0x3D88, 0x3D88, 0x3D89, 0x3D89, 0x3D89, 0x3D89, 0x3D89, 0x3D8A, 0x3D8A, 0x3D8A, 0x3D8A, 0x3D8A, 0x3D8B, 0x3D8B, 0x3D8B, 0x3D8B, 0x3D8B, 0x3D8C, 0x3D8C, 0x3D8C, 0x3D8C, 0x3D8C, 0x3D8D, 0x3D8D, 0x3D8D, 0x3D8D, 0x3D8E, 0x3D8E, 0x3D8E, 0x3D8E, 0x3D8E, 0x3D8F, 0x3D8F, 0x3D8F, 0x3D8F, 0x3D8F, 0x3D90, 0x3D90, 0x3D90, 0x3D90, 0x3D90, 0x3D91, 0x3D91, 0x3D91, 0x3D91, 0x3D91, 0x3D92, 0x3D92, 0x3D92, 0x3D92, 0x3D92, 0x3D93, 0x3D93, 0x3D93, 0x3D93, 0x3D93, 0x3D94, 0x3D94, 0x3D94, 0x3D94, 0x3D94, 0x3D95, 0x3D95, 0x3D95, 0x3D95, 0x3D96, 0x3D96, 0x3D96, 0x3D96, 0x3D96, 0x3D97, 0x3D97, 0x3D97, 0x3D97, 0x3D97, 0x3D98, 0x3D98, 0x3D98, 0x3D98, 0x3D98, 0x3D99, 0x3D99, 0x3D99, 0x3D99, 0x3D99, 0x3D9A, 0x3D9A, 0x3D9A, 0x3D9A, 0x3D9A, 0x3D9B, 0x3D9B, 0x3D9B, 0x3D9B, 0x3D9B, 0x3D9C, 0x3D9C, 0x3D9C, 0x3D9C, 0x3D9C, 0x3D9D, 0x3D9D, 0x3D9D, 0x3D9D, 0x3D9D, 0x3D9E, 0x3D9E, 0x3D9E, 0x3D9E, 0x3D9F, 0x3D9F, 0x3D9F, 0x3D9F, 0x3D9F, 0x3DA0, 0x3DA0, 0x3DA0, 0x3DA0, 0x3DA0, 0x3DA1, 0x3DA1, 0x3DA1, 0x3DA1, 0x3DA1, 0x3DA2, 0x3DA2, 0x3DA2, 0x3DA2, 0x3DA2, 0x3DA3, 0x3DA3, 0x3DA3, 0x3DA3, 0x3DA3, 0x3DA4, 0x3DA4, 0x3DA4, 0x3DA4, 0x3DA4, 0x3DA5, 0x3DA5, 0x3DA5, 0x3DA5, 0x3DA5, 0x3DA6, 0x3DA6, 0x3DA6, 0x3DA6, 0x3DA7, 0x3DA7, 0x3DA7, 0x3DA7, 0x3DA7, 0x3DA8, 0x3DA8, 0x3DA8, 0x3DA8, 0x3DA8, 0x3DA9, 0x3DA9, 0x3DA9, 0x3DA9, 0x3DA9, 0x3DAA, 0x3DAA, 0x3DAA, 0x3DAA, 0x3DAA, 0x3DAB, 0x3DAB, 0x3DAB, 0x3DAB, 0x3DAB, 0x3DAC, 0x3DAC, 0x3DAC, 0x3DAC, 0x3DAC, 0x3DAD, 0x3DAD, 0x3DAD, 0x3DAD, 0x3DAD, 0x3DAE, 0x3DAE, 0x3DAE, 0x3DAE, 0x3DAE, 0x3DAF, 0x3DAF, 0x3DAF, 0x3DAF, 0x3DB0, 0x3DB0, 0x3DB0, 0x3DB0, 0x3DB0, 0x3DB1, 0x3DB1, 0x3DB1, 0x3DB1, 0x3DB1, 0x3DB2, 0x3DB2, 0x3DB2, 0x3DB2, 0x3DB2, 0x3DB3, 0x3DB3, 0x3DB3, 0x3DB3, 0x3DB3, 0x3DB4, 0x3DB4, 0x3DB4, 0x3DB4, 0x3DB4, 0x3DB5, 0x3DB5, 0x3DB5, 0x3DB5, 0x3DB5, 0x3DB6, 0x3DB6, 0x3DB6, 0x3DB6, 0x3DB6, 0x3DB7, 0x3DB7, 0x3DB7, 0x3DB7, 0x3DB8, 0x3DB8, 0x3DB8, 0x3DB8, 0x3DB8, 0x3DB9, 0x3DB9, 0x3DB9, 0x3DB9, 0x3DB9, 0x3DBA, 0x3DBA, 0x3DBA, 0x3DBA, 0x3DBA, 0x3DBB, 0x3DBB, 0x3DBB, 0x3DBB, 0x3DBB, 0x3DBC, 0x3DBC, 0x3DBC, 0x3DBC, 0x3DBC, 0x3DBD, 0x3DBD, 0x3DBD, 0x3DBD, 0x3DBD, 0x3DBE, 0x3DBE, 0x3DBE, 0x3DBE, 0x3DBE, 0x3DBF, 0x3DBF, 0x3DBF, 0x3DBF, 0x3DBF, 0x3DC0, 0x3DC0, 0x3DC0, 0x3DC0, 0x3DC1, 0x3DC1, 0x3DC1, 0x3DC1, 0x3DC1, 0x3DC2, 0x3DC2, 0x3DC2, 0x3DC2, 0x3DC2, 0x3DC3, 0x3DC3, 0x3DC3, 0x3DC3, 0x3DC3, 0x3DC4, 0x3DC4, 0x3DC4, 0x3DC4, 0x3DC4, 0x3DC5, 0x3DC5, 0x3DC5, 0x3DC5, 0x3DC5, 0x3DC6, 0x3DC6, 0x3DC6, 0x3DC6, 0x3DC6, 0x3DC7, 0x3DC7, 0x3DC7, 0x3DC7, 0x3DC7, 0x3DC8, 0x3DC8, 0x3DC8, 0x3DC8, 0x3DC8, 0x3DC9, 0x3DC9, 0x3DC9, 0x3DC9, 0x3DCA, 0x3DCA, 0x3DCA, 0x3DCA, 0x3DCA, 0x3DCB, 0x3DCB, 0x3DCB, 0x3DCB, 0x3DCB, 0x3DCC, 0x3DCC, 0x3DCC, 0x3DCC, 0x3DCC, 0x3DCD, 0x3DCE, 0x3DCF, 0x3DD0, 0x3DD1, 0x3DD2, 0x3DD3, 0x3DD4, 0x3DD5, 0x3DD6, 0x3DD7, 0x3DD8, 0x3DD9, 0x3DDA, 0x3DDB, 0x3DDC, 0x3DDD, 0x3DDE, 0x3DDF, 0x3DE0, 0x3DE1, 0x3DE2, 0x3DE3, 0x3DE4, 0x3DE5, }; static uint16_t golden_bf16[] = { 0x0, 0x38d2, 0x3952, 0x399d, 0x39d2, 0x3a03, 0x3a1d, 0x3a38, 0x3a52, 0x3a6c, 0x3a83, 0x3a90, 0x3a9d, 0x3aaa, 0x3ab8, 0x3ac5, 0x3ad2, 0x3adf, 0x3aec, 0x3afa, 0x3b03, 0x3b0a, 0x3b10, 0x3b17, 0x3b1d, 0x3b24, 0x3b2a, 0x3b31, 0x3b38, 0x3b3e, 0x3b45, 0x3b4c, 0x3b52, 0x3b59, 0x3b5f, 0x3b65, 0x3b6c, 0x3b72, 0x3b7a, 0x3b80, 0x3b83, 0x3b86, 0x3b8a, 0x3b8d, 0x3b90, 0x3b93, 0x3b97, 0x3b9a, 0x3b9d, 0x3ba1, 0x3ba4, 0x3ba7, 0x3baa, 0x3bae, 0x3bb1, 0x3bb4, 0x3bb8, 0x3bbb, 0x3bbe, 0x3bc1, 0x3bc5, 0x3bc8, 0x3bcb, 0x3bce, 0x3bd2, 0x3bd6, 0x3bd8, 0x3bdc, 0x3bdf, 0x3be2, 0x3be6, 0x3be9, 0x3bec, 0x3bef, 0x3bf2, 0x3bf6, 0x3bf9, 0x3bfc, 0x3c00, 0x3c01, 0x3c03, 0x3c05, 0x3c06, 0x3c08, 0x3c0a, 0x3c0b, 0x3c0d, 0x3c0f, 0x3c10, 0x3c12, 0x3c13, 0x3c15, 0x3c17, 0x3c18, 0x3c1a, 0x3c1c, 0x3c1d, 0x3c1f, 0x3c21, 0x3c22, 0x3c24, 0x3c25, 0x3c27, 0x3c29, 0x3c2a, 0x3c2c, 0x3c2e, 0x3c2f, 0x3c31, 0x3c33, 0x3c34, 0x3c36, 0x3c38, 0x3c39, 0x3c3b, 0x3c3c, 0x3c3e, 0x3c40, 0x3c41, 0x3c43, 0x3c45, 0x3c46, 0x3c48, 0x3c4a, 0x3c4b, 0x3c4d, 0x3c4e, 0x3c50, 0x3c52, 0x3c53, 0x3c55, 0x3c57, 0x3c58, 0x3c5a, 0x3c5c, 0x3c5d, 0x3c5f, 0x3c60, 0x3c62, 0x3c64, 0x3c66, 0x3c68, 0x3c69, 0x3c6a, 0x3c6c, 0x3c6e, 0x3c70, 0x3c71, 0x3c72, 0x3c74, 0x3c76, 0x3c78, 0x3c79, 0x3c7b, 0x3c7c, 0x3c7e, 0x3c80, 0x3c81, 0x3c81, 0x3c82, 0x3c83, 0x3c84, 0x3c85, 0x3c86, 0x3c86, 0x3c87, 0x3c88, 0x3c89, 0x3c8a, 0x3c8a, 0x3c8b, 0x3c8c, 0x3c8d, 0x3c8e, 0x3c8f, 0x3c8f, 0x3c90, 0x3c91, 0x3c92, 0x3c93, 0x3c93, 0x3c94, 0x3c95, 0x3c96, 0x3c97, 0x3c98, 0x3c98, 0x3c99, 0x3c9a, 0x3c9b, 0x3c9c, 0x3c9c, 0x3c9d, 0x3c9e, 0x3c9f, 0x3ca0, 0x3ca1, 0x3ca1, 0x3ca2, 0x3ca3, 0x3ca4, 0x3ca5, 0x3ca5, 0x3ca6, 0x3ca7, 0x3ca8, 0x3ca9, 0x3caa, 0x3caa, 0x3cab, 0x3cac, 0x3cad, 0x3cae, 0x3cae, 0x3caf, 0x3cb0, 0x3cb1, 0x3cb2, 0x3cb3, 0x3cb3, 0x3cb4, 0x3cb5, 0x3cb6, 0x3cb7, 0x3cb8, 0x3cb8, 0x3cb9, 0x3cba, 0x3cbb, 0x3cbc, 0x3cbc, 0x3cbd, 0x3cbe, 0x3cbf, 0x3cc0, 0x3cc1, 0x3cc1, 0x3cc2, 0x3cc3, 0x3cc4, 0x3cc5, 0x3cc5, 0x3cc6, 0x3cc7, 0x3cc8, 0x3cc9, 0x3cca, 0x3cca, 0x3ccb, 0x3ccc, 0x3ccd, 0x3cce, 0x3cce, 0x3ccf, 0x3cd0, 0x3cd1, 0x3cd2, 0x3cd3, 0x3cd3, 0x3cd4, 0x3cd5, 0x3cd6, 0x3cd7, 0x3cd7, 0x3cd8, 0x3cd9, 0x3cda, 0x3cdb, 0x3cdc, 0x3cdc, 0x3cdd, 0x3cde, 0x3cdf, 0x3ce0, 0x3ce0, 0x3ce1, 0x3ce2, 0x3ce3, 0x3ce4, 0x3ce5, 0x3ce5, 0x3ce6, 0x3ce7, 0x3ce8, 0x3ce9, 0x3ce9, 0x3cea, 0x3ceb, 0x3cec, 0x3ced, 0x3cee, 0x3cee, 0x3cef, 0x3cf0, 0x3cf1, 0x3cf2, 0x3cf2, 0x3cf3, 0x3cf4, 0x3cf5, 0x3cf6, 0x3cf7, 0x3cf7, 0x3cf8, 0x3cf9, 0x3cfa, 0x3cfb, 0x3cfb, 0x3cfc, 0x3cfd, 0x3cfe, 0x3cff, 0x3d00, 0x3d00, 0x3d01, 0x3d01, 0x3d01, 0x3d02, 0x3d02, 0x3d03, 0x3d03, 0x3d03, 0x3d04, 0x3d04, 0x3d05, 0x3d05, 0x3d06, 0x3d06, 0x3d06, 0x3d07, 0x3d07, 0x3d08, 0x3d08, 0x3d08, 0x3d09, 0x3d09, 0x3d0a, 0x3d0a, 0x3d0a, 0x3d0b, 0x3d0b, 0x3d0c, 0x3d0c, 0x3d0c, 0x3d0d, 0x3d0d, 0x3d0e, 0x3d0e, 0x3d0f, 0x3d0f, 0x3d0f, 0x3d10, 0x3d10, 0x3d11, 0x3d11, 0x3d11, 0x3d12, 0x3d12, 0x3d13, 0x3d13, 0x3d13, 0x3d14, 0x3d14, 0x3d15, 0x3d15, 0x3d16, 0x3d16, 0x3d16, 0x3d17, 0x3d17, 0x3d18, 0x3d18, 0x3d18, 0x3d19, 0x3d19, 0x3d1a, 0x3d1a, 0x3d1a, 0x3d1b, 0x3d1b, 0x3d1c, 0x3d1c, 0x3d1c, 0x3d1d, 0x3d1d, 0x3d1e, 0x3d1e, 0x3d1f, 0x3d1f, 0x3d1f, 0x3d20, 0x3d20, 0x3d21, 0x3d21, 0x3d21, 0x3d22, 0x3d22, 0x3d23, 0x3d23, 0x3d23, 0x3d24, 0x3d24, 0x3d25, 0x3d25, 0x3d25, 0x3d26, 0x3d26, 0x3d27, 0x3d27, 0x3d28, 0x3d28, 0x3d28, 0x3d29, 0x3d29, 0x3d2a, 0x3d2a, 0x3d2a, 0x3d2b, 0x3d2b, 0x3d2c, 0x3d2c, 0x3d2c, 0x3d2d, 0x3d2d, 0x3d2e, 0x3d2e, 0x3d2e, 0x3d2f, 0x3d2f, 0x3d30, 0x3d30, 0x3d31, 0x3d31, 0x3d31, 0x3d32, 0x3d32, 0x3d33, 0x3d33, 0x3d33, 0x3d34, 0x3d34, 0x3d35, 0x3d35, 0x3d35, 0x3d36, 0x3d36, 0x3d37, 0x3d37, 0x3d38, 0x3d38, 0x3d38, 0x3d39, 0x3d39, 0x3d3a, 0x3d3a, 0x3d3a, 0x3d3b, 0x3d3b, 0x3d3c, 0x3d3c, 0x3d3c, 0x3d3d, 0x3d3d, 0x3d3e, 0x3d3e, 0x3d3e, 0x3d3f, 0x3d3f, 0x3d40, 0x3d40, 0x3d41, 0x3d41, 0x3d41, 0x3d42, 0x3d42, 0x3d43, 0x3d43, 0x3d43, 0x3d44, 0x3d44, 0x3d45, 0x3d45, 0x3d45, 0x3d46, 0x3d46, 0x3d47, 0x3d47, 0x3d47, 0x3d48, 0x3d48, 0x3d49, 0x3d49, 0x3d4a, 0x3d4a, 0x3d4a, 0x3d4b, 0x3d4b, 0x3d4c, 0x3d4c, 0x3d4c, 0x3d4d, 0x3d4d, 0x3d4e, 0x3d4e, 0x3d4e, 0x3d4f, 0x3d4f, 0x3d50, 0x3d50, 0x3d50, 0x3d51, 0x3d51, 0x3d52, 0x3d52, 0x3d53, 0x3d53, 0x3d53, 0x3d54, 0x3d54, 0x3d55, 0x3d55, 0x3d55, 0x3d56, 0x3d56, 0x3d57, 0x3d57, 0x3d57, 0x3d58, 0x3d58, 0x3d59, 0x3d59, 0x3d59, 0x3d5a, 0x3d5a, 0x3d5b, 0x3d5b, 0x3d5c, 0x3d5c, 0x3d5c, 0x3d5d, 0x3d5d, 0x3d5e, 0x3d5e, 0x3d5e, 0x3d5f, 0x3d5f, 0x3d60, 0x3d60, 0x3d60, 0x3d60, 0x3d60, 0x3d61, 0x3d61, 0x3d62, 0x3d62, 0x3d62, 0x3d63, 0x3d63, 0x3d64, 0x3d64, 0x3d64, 0x3d65, 0x3d65, 0x3d66, 0x3d66, 0x3d66, 0x3d67, 0x3d67, 0x3d68, 0x3d68, 0x3d68, 0x3d69, 0x3d69, 0x3d6a, 0x3d6a, 0x3d6b, 0x3d6b, 0x3d6b, 0x3d6c, 0x3d6c, 0x3d6d, 0x3d6d, 0x3d6d, 0x3d6e, 0x3d6e, 0x3d6f, 0x3d6f, 0x3d6f, 0x3d70, 0x3d70, 0x3d71, 0x3d71, 0x3d71, 0x3d72, 0x3d72, 0x3d73, 0x3d73, 0x3d74, 0x3d74, 0x3d74, 0x3d75, 0x3d75, 0x3d76, 0x3d76, 0x3d76, 0x3d77, 0x3d77, 0x3d78, 0x3d78, 0x3d78, 0x3d79, 0x3d79, 0x3d7a, 0x3d7a, 0x3d7a, 0x3d7b, 0x3d7b, 0x3d7c, 0x3d7c, 0x3d7d, 0x3d7d, 0x3d7d, 0x3d7e, 0x3d7e, 0x3d7f, 0x3d7f, 0x3d7f, 0x3d7f, 0x3d81, 0x3d81, 0x3d81, 0x3d81, 0x3d81, 0x3d82, 0x3d82, 0x3d82, 0x3d82, 0x3d82, 0x3d83, 0x3d83, 0x3d83, 0x3d83, 0x3d83, 0x3d84, 0x3d84, 0x3d84, 0x3d84, 0x3d85, 0x3d85, 0x3d85, 0x3d85, 0x3d85, 0x3d86, 0x3d86, 0x3d86, 0x3d86, 0x3d86, 0x3d87, 0x3d87, 0x3d87, 0x3d87, 0x3d87, 0x3d88, 0x3d88, 0x3d88, 0x3d88, 0x3d88, 0x3d89, 0x3d89, 0x3d89, 0x3d89, 0x3d89, 0x3d8a, 0x3d8a, 0x3d8a, 0x3d8a, 0x3d8a, 0x3d8b, 0x3d8b, 0x3d8b, 0x3d8b, 0x3d8b, 0x3d8c, 0x3d8c, 0x3d8c, 0x3d8c, 0x3d8c, 0x3d8d, 0x3d8d, 0x3d8d, 0x3d8d, 0x3d8e, 0x3d8e, 0x3d8e, 0x3d8e, 0x3d8e, 0x3d8f, 0x3d8f, 0x3d8f, 0x3d8f, 0x3d8f, 0x3d90, 0x3d90, 0x3d90, 0x3d90, 0x3d90, 0x3d91, 0x3d91, 0x3d91, 0x3d91, 0x3d91, 0x3d92, 0x3d92, 0x3d92, 0x3d92, 0x3d92, 0x3d93, 0x3d93, 0x3d93, 0x3d93, 0x3d93, 0x3d94, 0x3d94, 0x3d94, 0x3d94, 0x3d94, 0x3d95, 0x3d95, 0x3d95, 0x3d95, 0x3d96, 0x3d96, 0x3d96, 0x3d96, 0x3d96, 0x3d97, 0x3d97, 0x3d97, 0x3d97, 0x3d97, 0x3d98, 0x3d98, 0x3d98, 0x3d98, 0x3d98, 0x3d99, 0x3d99, 0x3d99, 0x3d99, 0x3d99, 0x3d99, 0x3d99, 0x3d99, 0x3d99, 0x3d99, 0x3d9a, 0x3d9a, 0x3d9a, 0x3d9a, 0x3d9a, 0x3d9b, 0x3d9b, 0x3d9b, 0x3d9b, 0x3d9b, 0x3d9c, 0x3d9c, 0x3d9c, 0x3d9c, 0x3d9c, 0x3d9d, 0x3d9d, 0x3d9d, 0x3d9d, 0x3d9e, 0x3d9e, 0x3d9e, 0x3d9e, 0x3d9e, 0x3d9f, 0x3d9f, 0x3d9f, 0x3d9f, 0x3d9f, 0x3da0, 0x3da0, 0x3da0, 0x3da0, 0x3da0, 0x3da1, 0x3da1, 0x3da1, 0x3da1, 0x3da1, 0x3da2, 0x3da2, 0x3da2, 0x3da2, 0x3da2, 0x3da3, 0x3da3, 0x3da3, 0x3da3, 0x3da3, 0x3da4, 0x3da4, 0x3da4, 0x3da4, 0x3da4, 0x3da5, 0x3da5, 0x3da5, 0x3da5, 0x3da6, 0x3da6, 0x3da6, 0x3da6, 0x3da6, 0x3da7, 0x3da7, 0x3da7, 0x3da7, 0x3da7, 0x3da8, 0x3da8, 0x3da8, 0x3da8, 0x3da8, 0x3da9, 0x3da9, 0x3da9, 0x3da9, 0x3da9, 0x3daa, 0x3daa, 0x3daa, 0x3daa, 0x3daa, 0x3dab, 0x3dab, 0x3dab, 0x3dab, 0x3dab, 0x3dac, 0x3dac, 0x3dac, 0x3dac, 0x3dac, 0x3dad, 0x3dad, 0x3dad, 0x3dad, 0x3dad, 0x3daf, 0x3daf, 0x3daf, 0x3daf, 0x3db0, 0x3db0, 0x3db0, 0x3db0, 0x3db0, 0x3db1, 0x3db1, 0x3db1, 0x3db1, 0x3db1, 0x3db2, 0x3db2, 0x3db2, 0x3db2, 0x3db2, 0x3db3, 0x3db3, 0x3db3, 0x3db3, 0x3db3, 0x3db4, 0x3db4, 0x3db4, 0x3db4, 0x3db4, 0x3db5, 0x3db5, 0x3db5, 0x3db5, 0x3db5, 0x3db6, 0x3db6, 0x3db6, 0x3db6, 0x3db6, 0x3db7, 0x3db7, 0x3db7, 0x3db7, 0x3db8, 0x3db8, 0x3db8, 0x3db8, 0x3db8, 0x3db9, 0x3db9, 0x3db9, 0x3db9, 0x3db9, 0x3dba, 0x3dba, 0x3dba, 0x3dba, 0x3dba, 0x3dbb, 0x3dbb, 0x3dbb, 0x3dbb, 0x3dbb, 0x3dbc, 0x3dbc, 0x3dbc, 0x3dbc, 0x3dbc, 0x3dbd, 0x3dbd, 0x3dbd, 0x3dbd, 0x3dbd, 0x3dbe, 0x3dbe, 0x3dbe, 0x3dbe, 0x3dbe, 0x3dbf, 0x3dbf, 0x3dbf, 0x3dbf, 0x3dbf, 0x3dc0, 0x3dc0, 0x3dc0, 0x3dc0, 0x3dc1, 0x3dc1, 0x3dc1, 0x3dc1, 0x3dc1, 0x3dc1, 0x3dc1, 0x3dc1, 0x3dc1, 0x3dc1, 0x3dc2, 0x3dc2, 0x3dc2, 0x3dc2, 0x3dc2, 0x3dc3, 0x3dc3, 0x3dc3, 0x3dc3, 0x3dc3, 0x3dc4, 0x3dc4, 0x3dc4, 0x3dc4, 0x3dc4, 0x3dc5, 0x3dc5, 0x3dc5, 0x3dc5, 0x3dc5, 0x3dc6, 0x3dc6, 0x3dc6, 0x3dc6, 0x3dc6, 0x3dc7, 0x3dc7, 0x3dc7, 0x3dc7, 0x3dc7, 0x3dc8, 0x3dc8, 0x3dc8, 0x3dc8, 0x3dc9, 0x3dc9, 0x3dc9, 0x3dc9, 0x3dc9, 0x3dca, 0x3dca, 0x3dca, 0x3dca, 0x3dca, 0x3dcb, 0x3dcb, 0x3dcb, 0x3dcb, 0x3dcb, 0x3dcc, 0x3dcd, 0x3dce, 0x3dcf, 0x3dd0, 0x3dd1, 0x3dd2, 0x3dd3, 0x3dd4, 0x3dd5, 0x3dd6, 0x3dd7, 0x3dd8, 0x3dd9, 0x3dda, 0x3ddb, 0x3ddc, 0x3ddd, 0x3dde, 0x3ddf, 0x3de0, 0x3de1, 0x3de2, 0x3de3, 0x3de4, }; // dist(range_start, range_end); int table_hw = 256; for (uint64_t i = 0; i < ifmap_size; i++) { // input range is -8 ~ +8 float input = ((int)i % (range_end - 2)) * (((int)i % 2) ? 1 : -1) + 0.03 + (i % table_hw) * 0.002; // float input = ((int)i % 10) * (((int)i % 2) ? 1 : -1) + 0.03 + (i % // table_hw) * 0.002; float input = dist(e2); input = ((int)i % // (range_end-2)) * (((int)i % 2) ? 1 : 1) + 0.03 + (i % table_hw) * // 0.002; if (input < 1 && input > 0) { // input = 111.9; //} input_data[i] = convert_fp32_bf16(input); } input_data[0] = convert_fp32_bf16(0); input_data[1] = convert_fp32_bf16(1); input_data[2] = convert_fp32_bf16(-1); } #ifdef DBG for (uint64_t i = 0; i < ifmap_size; i++) { printf("source if[%lu] bf16 %f 0x%x, log2f is %f\n", i, convert_bf16_fp32(input_data[i]), input_data[i], floor(log2((convert_bf16_fp32(input_data[i]))))); } #endif /* ifdef DBG */ } static void testbench(CVI_RT_HANDLE *ctx, cvk_context_t *bmk) { // TODO: check more shape / align cvk_chip_info_t chip_info = bmk->info; uint32_t input_n = 1; uint32_t input_c = chip_info.npu_num; uint32_t input_h = 16; uint32_t input_w = 16; float epsilon = 0.01; int range_start = -8; int range_end = 8; cvk_fmt_t fmt = CVK_FMT_BF16; if (mode == PRE_DATA_COMPARE_FIX) { input_h = 4; input_w = 8; } cvk_tl_shape_t ifmap_shape = {input_n, input_c, input_h, input_w}; cvk_tl_shape_t ofmap_shape = ifmap_shape; uint64_t ifmap_size = tl_shape_size(&ifmap_shape); uint64_t ofmap_size = tl_shape_size(&ofmap_shape); int data_type_size = bytesize_of_fmt(fmt); uint64_t ifmap_bytesize = ifmap_size * data_type_size; uint64_t ofmap_bytesize = ofmap_size * data_type_size; // get lut table shape and size cvk_tl_shape_t table_shape; uint64_t table_bytesize = cvm_lut_tbl_bytesize(bmk, &table_shape, fmt); cvk_tl_t *tl_ifmap = test_alloc_tl(bmk, ifmap_shape, fmt, /*align*/ 1); cvk_tl_t *tl_ofmap_bf16 = test_alloc_tl(bmk, ofmap_shape, fmt, /*align*/ 1); cvk_tl_t *out = tl_ofmap_bf16; // atan buf cvk_tl_t *tl_y0_buf = test_alloc_tl(bmk, table_shape, fmt, /*align*/ 1); cvk_tl_t *tl_slope_buf = test_alloc_tl(bmk, table_shape, fmt, /*align*/ 1); cvk_tl_t *tl_invert_buf = test_alloc_tl(bmk, table_shape, fmt, /*align*/ 1); cvk_tl_t *tl_pos_neg_buf = test_alloc_tl(bmk, table_shape, fmt, /*align*/ 1); // reciprocal buf cvk_tl_t *tl_reciprocal_table_answer = test_alloc_tl(bmk, table_shape, fmt, /*align*/ 1); cvk_tl_t *tl_reciprocal_table_answer_mantissa = test_alloc_tl(bmk, table_shape, fmt, /*align*/ 1); // temp buf cvk_tl_t *tl_buf = test_alloc_tl(bmk, ofmap_shape, fmt, /*align*/ 1); cvk_tl_t *tl_buf2 = test_alloc_tl(bmk, tl_ofmap_bf16->shape, fmt, /*align*/ 1); cvk_tl_t *tl_buf4 = test_alloc_tl(bmk, tl_ofmap_bf16->shape, fmt, /*align*/ 1); uint16_t *input_data = (uint16_t *)xmalloc(ifmap_bytesize); uint16_t *ref_data = (uint16_t *)xmalloc(ofmap_bytesize); // for reciprocal uint16_t *table_reciprocal_data = (uint16_t *)xmalloc(table_bytesize); uint16_t *table_reciprocal_data_mantissa = (uint16_t *)xmalloc(table_bytesize); // for atan uint16_t *table_data_atan_y0 = (uint16_t *)xmalloc(table_bytesize); uint16_t *table_data_atan_slope = (uint16_t *)xmalloc(table_bytesize); uint16_t *table_data_atan_invert = (uint16_t *)xmalloc(table_bytesize); uint16_t *table_data_atan_pos_neg = (uint16_t *)xmalloc(table_bytesize); gen_input(input_data, ifmap_size, mode, range_start, range_end); tl_lut_ref(ref_data, input_data, ifmap_shape); cvm_reciprocal_tbl(table_reciprocal_data, table_reciprocal_data_mantissa, &table_shape); cvm_atan_tbl(table_data_atan_y0, table_data_atan_slope, table_data_atan_invert, table_data_atan_pos_neg, &table_shape); test_put_tensor_g2l_comp(ctx, bmk, tl_ifmap, (uint8_t *)input_data); test_put_tensor_g2l_comp(ctx, bmk, tl_reciprocal_table_answer, (uint8_t *)table_reciprocal_data); test_put_tensor_g2l_comp(ctx, bmk, tl_reciprocal_table_answer_mantissa, (uint8_t *)table_reciprocal_data_mantissa); // prepare atan test_put_tensor_g2l_comp(ctx, bmk, tl_y0_buf, (uint8_t *)table_data_atan_y0); test_put_tensor_g2l_comp(ctx, bmk, tl_slope_buf, (uint8_t *)table_data_atan_slope); test_put_tensor_g2l_comp(ctx, bmk, tl_invert_buf, (uint8_t *)table_data_atan_invert); test_put_tensor_g2l_comp(ctx, bmk, tl_pos_neg_buf, (uint8_t *)table_data_atan_pos_neg); cvm_atan_emit(bmk, tl_ifmap, tl_buf, tl_buf2, tl_buf4, tl_y0_buf, tl_slope_buf, tl_invert_buf, tl_pos_neg_buf, tl_reciprocal_table_answer, tl_reciprocal_table_answer_mantissa, tl_ofmap_bf16, fmt); test_submit_comp(ctx, bmk); uint16_t *ofmap_data = (uint16_t *)test_get_tensor_l2g_comp(ctx, bmk, out); verify(ofmap_data, ref_data, input_data, ifmap_size, epsilon); free_tl(bmk, tl_buf4); free_tl(bmk, tl_buf2); free_tl(bmk, tl_buf); free_tl(bmk, tl_reciprocal_table_answer_mantissa); free_tl(bmk, tl_reciprocal_table_answer); free_tl(bmk, tl_pos_neg_buf); free_tl(bmk, tl_invert_buf); free_tl(bmk, tl_slope_buf); free_tl(bmk, tl_y0_buf); free_tl(bmk, tl_ofmap_bf16); free_tl(bmk, tl_ifmap); free(table_data_atan_y0); free(table_data_atan_slope); free(table_data_atan_invert); free(table_data_atan_pos_neg); free(table_reciprocal_data); free(table_reciprocal_data_mantissa); free(input_data); free(ref_data); free(ofmap_data); } int main() { cvk_context_t *bmk = NULL; int round_mode; round_mode = set_store_feround(); CVI_RT_HANDLE ctx; test_init(&ctx, &bmk); // for (int i = PRE_DATA_COMPARE_FIX; i < TEST_MODE_MAX; i++) // for (int i = PRE_DATA_COMPARE_FIX; i < DATA_COMPARE_ACCURACY; i++) for (int i = PRE_DATA_COMPARE_FIX; i < DATA_COMPARE_U8; i++) // for (int i = DATA_COMPARE_ACCURACY; i < DATA_COMPARE_U8; i++) { mode = static_cast(i); printf("test mode %d...\n", mode); testbench(&ctx, bmk); } printf("pass\n"); test_exit(&ctx, bmk); restore_feround(round_mode); return 0; }