//***************************************************************************** // // IQmathLib.h - IQmath library C language function definitions. // //***************************************************************************** #ifndef __IQMATHLIB_H__ #define __IQMATHLIB_H__ //***************************************************************************** // // If building with a C++ compiler, make all of the definitions in this header // have a C binding. // //***************************************************************************** #ifdef __cplusplus extern "C" { #endif //***************************************************************************** // // By redefining MATH_TYPE, all IQmath functions will be replaced by their // floating point equivalents. // //***************************************************************************** #define FLOAT_MATH 1 #define IQ_MATH 0 #ifndef MATH_TYPE #define MATH_TYPE IQ_MATH #endif //***************************************************************************** // // The IQ format to be used when the IQ format is not explicitly specified // (such as _IQcos instead of _IQ16cos). This value must be between 1 and 30, // inclusive. // //***************************************************************************** #ifndef GLOBAL_Q #define GLOBAL_Q 24 #endif //***************************************************************************** // // Include some standard headers, as required based on the math type. // //***************************************************************************** #if MATH_TYPE == FLOAT_MATH #include #endif #include #include //***************************************************************************** // // Various Useful Constant Definitions: // //***************************************************************************** #define Q30 30 #define Q29 29 #define Q28 28 #define Q27 27 #define Q26 26 #define Q25 25 #define Q24 24 #define Q23 23 #define Q22 22 #define Q21 21 #define Q20 20 #define Q19 19 #define Q18 18 #define Q17 17 #define Q16 16 #define Q15 15 #define Q14 14 #define Q13 13 #define Q12 12 #define Q11 11 #define Q10 10 #define Q9 9 #define Q8 8 #define Q7 7 #define Q6 6 #define Q5 5 #define Q4 4 #define Q3 3 #define Q2 2 #define Q1 1 #define QG GLOBAL_Q #define MAX_IQ_POS LONG_MAX #define MAX_IQ_NEG LONG_MIN #define MIN_IQ_POS 1 #define MIN_IQ_NEG -1 //***************************************************************************** // // See if IQmath or floating point is being used. // //***************************************************************************** #if MATH_TYPE == IQ_MATH //***************************************************************************** // // The types for the various IQ formats. // //***************************************************************************** typedef long _iq30; typedef long _iq29; typedef long _iq28; typedef long _iq27; typedef long _iq26; typedef long _iq25; typedef long _iq24; typedef long _iq23; typedef long _iq22; typedef long _iq21; typedef long _iq20; typedef long _iq19; typedef long _iq18; typedef long _iq17; typedef long _iq16; typedef long _iq15; typedef long _iq14; typedef long _iq13; typedef long _iq12; typedef long _iq11; typedef long _iq10; typedef long _iq9; typedef long _iq8; typedef long _iq7; typedef long _iq6; typedef long _iq5; typedef long _iq4; typedef long _iq3; typedef long _iq2; typedef long _iq1; typedef long _iq; //***************************************************************************** // // Simple multiplies or divides, which are accomplished with simple shifts. // //***************************************************************************** #define _IQmpy2(A) ((A) << 1) #define _IQmpy4(A) ((A) << 2) #define _IQmpy8(A) ((A) << 3) #define _IQmpy16(A) ((A) << 4) #define _IQmpy32(A) ((A) << 5) #define _IQmpy64(A) ((A) << 6) #define _IQdiv2(A) ((A) >> 1) #define _IQdiv4(A) ((A) >> 2) #define _IQdiv8(A) ((A) >> 3) #define _IQdiv16(A) ((A) >> 4) #define _IQdiv32(A) ((A) >> 5) #define _IQdiv64(A) ((A) >> 6) //***************************************************************************** // // Convert a value into an IQ number. // //***************************************************************************** #define _IQ30(A) (long) ((A) * 1073741824.0L) #define _IQ29(A) (long) ((A) * 536870912.0L) #define _IQ28(A) (long) ((A) * 268435456.0L) #define _IQ27(A) (long) ((A) * 134217728.0L) #define _IQ26(A) (long) ((A) * 67108864.0L) #define _IQ25(A) (long) ((A) * 33554432.0L) #define _IQ24(A) (long) ((A) * 16777216.0L) #define _IQ23(A) (long) ((A) * 8388608.0L) #define _IQ22(A) (long) ((A) * 4194304.0L) #define _IQ21(A) (long) ((A) * 2097152.0L) #define _IQ20(A) (long) ((A) * 1048576.0L) #define _IQ19(A) (long) ((A) * 524288.0L) #define _IQ18(A) (long) ((A) * 262144.0L) #define _IQ17(A) (long) ((A) * 131072.0L) #define _IQ16(A) (long) ((A) * 65536.0L) #define _IQ15(A) (long) ((A) * 32768.0L) #define _IQ14(A) (long) ((A) * 16384.0L) #define _IQ13(A) (long) ((A) * 8192.0L) #define _IQ12(A) (long) ((A) * 4096.0L) #define _IQ11(A) (long) ((A) * 2048.0L) #define _IQ10(A) (long) ((A) * 1024.0L) #define _IQ9(A) (long) ((A) * 512.0L) #define _IQ8(A) (long) ((A) * 256.0L) #define _IQ7(A) (long) ((A) * 128.0L) #define _IQ6(A) (long) ((A) * 64.0L) #define _IQ5(A) (long) ((A) * 32.0L) #define _IQ4(A) (long) ((A) * 16.0L) #define _IQ3(A) (long) ((A) * 8.0L) #define _IQ2(A) (long) ((A) * 4.0L) #define _IQ1(A) (long) ((A) * 2.0L) #if GLOBAL_Q == 30 #define _IQ(A) _IQ30(A) #endif #if GLOBAL_Q == 29 #define _IQ(A) _IQ29(A) #endif #if GLOBAL_Q == 28 #define _IQ(A) _IQ28(A) #endif #if GLOBAL_Q == 27 #define _IQ(A) _IQ27(A) #endif #if GLOBAL_Q == 26 #define _IQ(A) _IQ26(A) #endif #if GLOBAL_Q == 25 #define _IQ(A) _IQ25(A) #endif #if GLOBAL_Q == 24 #define _IQ(A) _IQ24(A) #endif #if GLOBAL_Q == 23 #define _IQ(A) _IQ23(A) #endif #if GLOBAL_Q == 22 #define _IQ(A) _IQ22(A) #endif #if GLOBAL_Q == 21 #define _IQ(A) _IQ21(A) #endif #if GLOBAL_Q == 20 #define _IQ(A) _IQ20(A) #endif #if GLOBAL_Q == 19 #define _IQ(A) _IQ19(A) #endif #if GLOBAL_Q == 18 #define _IQ(A) _IQ18(A) #endif #if GLOBAL_Q == 17 #define _IQ(A) _IQ17(A) #endif #if GLOBAL_Q == 16 #define _IQ(A) _IQ16(A) #endif #if GLOBAL_Q == 15 #define _IQ(A) _IQ15(A) #endif #if GLOBAL_Q == 14 #define _IQ(A) _IQ14(A) #endif #if GLOBAL_Q == 13 #define _IQ(A) _IQ13(A) #endif #if GLOBAL_Q == 12 #define _IQ(A) _IQ12(A) #endif #if GLOBAL_Q == 11 #define _IQ(A) _IQ11(A) #endif #if GLOBAL_Q == 10 #define _IQ(A) _IQ10(A) #endif #if GLOBAL_Q == 9 #define _IQ(A) _IQ9(A) #endif #if GLOBAL_Q == 8 #define _IQ(A) _IQ8(A) #endif #if GLOBAL_Q == 7 #define _IQ(A) _IQ7(A) #endif #if GLOBAL_Q == 6 #define _IQ(A) _IQ6(A) #endif #if GLOBAL_Q == 5 #define _IQ(A) _IQ5(A) #endif #if GLOBAL_Q == 4 #define _IQ(A) _IQ4(A) #endif #if GLOBAL_Q == 3 #define _IQ(A) _IQ3(A) #endif #if GLOBAL_Q == 2 #define _IQ(A) _IQ2(A) #endif #if GLOBAL_Q == 1 #define _IQ(A) _IQ1(A) #endif //***************************************************************************** // // Convert an IQ number to a floating point value. // //***************************************************************************** extern float _IQ30toF(_iq30 A); extern float _IQ29toF(_iq29 A); extern float _IQ28toF(_iq28 A); extern float _IQ27toF(_iq27 A); extern float _IQ26toF(_iq26 A); extern float _IQ25toF(_iq25 A); extern float _IQ24toF(_iq24 A); extern float _IQ23toF(_iq23 A); extern float _IQ22toF(_iq22 A); extern float _IQ21toF(_iq21 A); extern float _IQ20toF(_iq20 A); extern float _IQ19toF(_iq19 A); extern float _IQ18toF(_iq18 A); extern float _IQ17toF(_iq17 A); extern float _IQ16toF(_iq16 A); extern float _IQ15toF(_iq15 A); extern float _IQ14toF(_iq14 A); extern float _IQ13toF(_iq13 A); extern float _IQ12toF(_iq12 A); extern float _IQ11toF(_iq11 A); extern float _IQ10toF(_iq10 A); extern float _IQ9toF(_iq9 A); extern float _IQ8toF(_iq8 A); extern float _IQ7toF(_iq7 A); extern float _IQ6toF(_iq6 A); extern float _IQ5toF(_iq5 A); extern float _IQ4toF(_iq4 A); extern float _IQ3toF(_iq3 A); extern float _IQ2toF(_iq2 A); extern float _IQ1toF(_iq1 A); #if GLOBAL_Q == 30 #define _IQtoF(A) _IQ30toF(A) #endif #if GLOBAL_Q == 29 #define _IQtoF(A) _IQ29toF(A) #endif #if GLOBAL_Q == 28 #define _IQtoF(A) _IQ28toF(A) #endif #if GLOBAL_Q == 27 #define _IQtoF(A) _IQ27toF(A) #endif #if GLOBAL_Q == 26 #define _IQtoF(A) _IQ26toF(A) #endif #if GLOBAL_Q == 25 #define _IQtoF(A) _IQ25toF(A) #endif #if GLOBAL_Q == 24 #define _IQtoF(A) _IQ24toF(A) #endif #if GLOBAL_Q == 23 #define _IQtoF(A) _IQ23toF(A) #endif #if GLOBAL_Q == 22 #define _IQtoF(A) _IQ22toF(A) #endif #if GLOBAL_Q == 21 #define _IQtoF(A) _IQ21toF(A) #endif #if GLOBAL_Q == 20 #define _IQtoF(A) _IQ20toF(A) #endif #if GLOBAL_Q == 19 #define _IQtoF(A) _IQ19toF(A) #endif #if GLOBAL_Q == 18 #define _IQtoF(A) _IQ18toF(A) #endif #if GLOBAL_Q == 17 #define _IQtoF(A) _IQ17toF(A) #endif #if GLOBAL_Q == 16 #define _IQtoF(A) _IQ16toF(A) #endif #if GLOBAL_Q == 15 #define _IQtoF(A) _IQ15toF(A) #endif #if GLOBAL_Q == 14 #define _IQtoF(A) _IQ14toF(A) #endif #if GLOBAL_Q == 13 #define _IQtoF(A) _IQ13toF(A) #endif #if GLOBAL_Q == 12 #define _IQtoF(A) _IQ12toF(A) #endif #if GLOBAL_Q == 11 #define _IQtoF(A) _IQ11toF(A) #endif #if GLOBAL_Q == 10 #define _IQtoF(A) _IQ10toF(A) #endif #if GLOBAL_Q == 9 #define _IQtoF(A) _IQ9toF(A) #endif #if GLOBAL_Q == 8 #define _IQtoF(A) _IQ8toF(A) #endif #if GLOBAL_Q == 7 #define _IQtoF(A) _IQ7toF(A) #endif #if GLOBAL_Q == 6 #define _IQtoF(A) _IQ6toF(A) #endif #if GLOBAL_Q == 5 #define _IQtoF(A) _IQ5toF(A) #endif #if GLOBAL_Q == 4 #define _IQtoF(A) _IQ4toF(A) #endif #if GLOBAL_Q == 3 #define _IQtoF(A) _IQ3toF(A) #endif #if GLOBAL_Q == 2 #define _IQtoF(A) _IQ2toF(A) #endif #if GLOBAL_Q == 1 #define _IQtoF(A) _IQ1toF(A) #endif //***************************************************************************** // // Convert an IQ number to a double-precision floating point value. // //***************************************************************************** extern double _IQ30toD(_iq30 A); extern double _IQ29toD(_iq29 A); extern double _IQ28toD(_iq28 A); extern double _IQ27toD(_iq27 A); extern double _IQ26toD(_iq26 A); extern double _IQ25toD(_iq25 A); extern double _IQ24toD(_iq24 A); extern double _IQ23toD(_iq23 A); extern double _IQ22toD(_iq22 A); extern double _IQ21toD(_iq21 A); extern double _IQ20toD(_iq20 A); extern double _IQ19toD(_iq19 A); extern double _IQ18toD(_iq18 A); extern double _IQ17toD(_iq17 A); extern double _IQ16toD(_iq16 A); extern double _IQ15toD(_iq15 A); extern double _IQ14toD(_iq14 A); extern double _IQ13toD(_iq13 A); extern double _IQ12toD(_iq12 A); extern double _IQ11toD(_iq11 A); extern double _IQ10toD(_iq10 A); extern double _IQ9toD(_iq9 A); extern double _IQ8toD(_iq8 A); extern double _IQ7toD(_iq7 A); extern double _IQ6toD(_iq6 A); extern double _IQ5toD(_iq5 A); extern double _IQ4toD(_iq4 A); extern double _IQ3toD(_iq3 A); extern double _IQ2toD(_iq2 A); extern double _IQ1toD(_iq1 A); #if GLOBAL_Q == 30 #define _IQtoD(A) _IQ30toD(A) #endif #if GLOBAL_Q == 29 #define _IQtoD(A) _IQ29toD(A) #endif #if GLOBAL_Q == 28 #define _IQtoD(A) _IQ28toD(A) #endif #if GLOBAL_Q == 27 #define _IQtoD(A) _IQ27toD(A) #endif #if GLOBAL_Q == 26 #define _IQtoD(A) _IQ26toD(A) #endif #if GLOBAL_Q == 25 #define _IQtoD(A) _IQ25toD(A) #endif #if GLOBAL_Q == 24 #define _IQtoD(A) _IQ24toD(A) #endif #if GLOBAL_Q == 23 #define _IQtoD(A) _IQ23toD(A) #endif #if GLOBAL_Q == 22 #define _IQtoD(A) _IQ22toD(A) #endif #if GLOBAL_Q == 21 #define _IQtoD(A) _IQ21toD(A) #endif #if GLOBAL_Q == 20 #define _IQtoD(A) _IQ20toD(A) #endif #if GLOBAL_Q == 19 #define _IQtoD(A) _IQ19toD(A) #endif #if GLOBAL_Q == 18 #define _IQtoD(A) _IQ18toD(A) #endif #if GLOBAL_Q == 17 #define _IQtoD(A) _IQ17toD(A) #endif #if GLOBAL_Q == 16 #define _IQtoD(A) _IQ16toD(A) #endif #if GLOBAL_Q == 15 #define _IQtoD(A) _IQ15toD(A) #endif #if GLOBAL_Q == 14 #define _IQtoD(A) _IQ14toD(A) #endif #if GLOBAL_Q == 13 #define _IQtoD(A) _IQ13toD(A) #endif #if GLOBAL_Q == 12 #define _IQtoD(A) _IQ12toD(A) #endif #if GLOBAL_Q == 11 #define _IQtoD(A) _IQ11toD(A) #endif #if GLOBAL_Q == 10 #define _IQtoD(A) _IQ10toD(A) #endif #if GLOBAL_Q == 9 #define _IQtoD(A) _IQ9toD(A) #endif #if GLOBAL_Q == 8 #define _IQtoD(A) _IQ8toD(A) #endif #if GLOBAL_Q == 7 #define _IQtoD(A) _IQ7toD(A) #endif #if GLOBAL_Q == 6 #define _IQtoD(A) _IQ6toD(A) #endif #if GLOBAL_Q == 5 #define _IQtoD(A) _IQ5toD(A) #endif #if GLOBAL_Q == 4 #define _IQtoD(A) _IQ4toD(A) #endif #if GLOBAL_Q == 3 #define _IQtoD(A) _IQ3toD(A) #endif #if GLOBAL_Q == 2 #define _IQtoD(A) _IQ2toD(A) #endif #if GLOBAL_Q == 1 #define _IQtoD(A) _IQ1toD(A) #endif //***************************************************************************** // // Saturates an IQ number in a given range. // //***************************************************************************** #define _IQsat(A, Pos, Neg) (((A) > (Pos)) ? (Pos) :(((A) < (Neg)) ? (Neg) : (A))) //#define _IQsat(A, Pos, Neg) __IQsat(A, Pos, Neg) //***************************************************************************** // // Converts an IQ number between the global IQ format and a specified IQ // format. // //***************************************************************************** #define _IQtoIQ30(A) ((_iq30)(A) << (30 - GLOBAL_Q)) #define _IQ30toIQ(A) ((_iq30)(A) >> (30 - GLOBAL_Q)) #if (GLOBAL_Q >= 29) #define _IQtoIQ29(A) ((_iq29)(A) >> (GLOBAL_Q - 29)) #define _IQ29toIQ(A) ((_iq29)(A) << (GLOBAL_Q - 29)) #else #define _IQtoIQ29(A) ((_iq29)(A) << (29 - GLOBAL_Q)) #define _IQ29toIQ(A) ((_iq29)(A) >> (29 - GLOBAL_Q)) #endif #if (GLOBAL_Q >= 28) #define _IQtoIQ28(A) ((_iq28)(A) >> (GLOBAL_Q - 28)) #define _IQ28toIQ(A) ((_iq28)(A) << (GLOBAL_Q - 28)) #else #define _IQtoIQ28(A) ((_iq28)(A) << (28 - GLOBAL_Q)) #define _IQ28toIQ(A) ((_iq28)(A) >> (28 - GLOBAL_Q)) #endif #if (GLOBAL_Q >= 27) #define _IQtoIQ27(A) ((_iq27)(A) >> (GLOBAL_Q - 27)) #define _IQ27toIQ(A) ((_iq27)(A) << (GLOBAL_Q - 27)) #else #define _IQtoIQ27(A) ((_iq27)(A) << (27 - GLOBAL_Q)) #define _IQ27toIQ(A) ((_iq27)(A) >> (27 - GLOBAL_Q)) #endif #if (GLOBAL_Q >= 26) #define _IQtoIQ26(A) ((_iq26)(A) >> (GLOBAL_Q - 26)) #define _IQ26toIQ(A) ((_iq26)(A) << (GLOBAL_Q - 26)) #else #define _IQtoIQ26(A) ((_iq26)(A) << (26 - GLOBAL_Q)) #define _IQ26toIQ(A) ((_iq26)(A) >> (26 - GLOBAL_Q)) #endif #if (GLOBAL_Q >= 25) #define _IQtoIQ25(A) ((_iq25)(A) >> (GLOBAL_Q - 25)) #define _IQ25toIQ(A) ((_iq25)(A) << (GLOBAL_Q - 25)) #else #define _IQtoIQ25(A) ((_iq25)(A) << (25 - GLOBAL_Q)) #define _IQ25toIQ(A) ((_iq25)(A) >> (25 - GLOBAL_Q)) #endif #if (GLOBAL_Q >= 24) #define _IQtoIQ24(A) ((_iq24)(A) >> (GLOBAL_Q - 24)) #define _IQ24toIQ(A) ((_iq24)(A) << (GLOBAL_Q - 24)) #else #define _IQtoIQ24(A) ((_iq24)(A) << (24 - GLOBAL_Q)) #define _IQ24toIQ(A) ((_iq24)(A) >> (24 - GLOBAL_Q)) #endif #if (GLOBAL_Q >= 23) #define _IQtoIQ23(A) ((_iq23)(A) >> (GLOBAL_Q - 23)) #define _IQ23toIQ(A) ((_iq23)(A) << (GLOBAL_Q - 23)) #else #define _IQtoIQ23(A) ((_iq23)(A) << (23 - GLOBAL_Q)) #define _IQ23toIQ(A) ((_iq23)(A) >> (23 - GLOBAL_Q)) #endif #if (GLOBAL_Q >= 22) #define _IQtoIQ22(A) ((_iq22)(A) >> (GLOBAL_Q - 22)) #define _IQ22toIQ(A) ((_iq22)(A) << (GLOBAL_Q - 22)) #else #define _IQtoIQ22(A) ((_iq22)(A) << (22 - GLOBAL_Q)) #define _IQ22toIQ(A) ((_iq22)(A) >> (22 - GLOBAL_Q)) #endif #if (GLOBAL_Q >= 21) #define _IQtoIQ21(A) ((_iq21)(A) >> (GLOBAL_Q - 21)) #define _IQ21toIQ(A) ((_iq21)(A) << (GLOBAL_Q - 21)) #else #define _IQtoIQ21(A) ((_iq21)(A) << (21 - GLOBAL_Q)) #define _IQ21toIQ(A) ((_iq21)(A) >> (21 - GLOBAL_Q)) #endif #if (GLOBAL_Q >= 20) #define _IQtoIQ20(A) ((_iq20)(A) >> (GLOBAL_Q - 20)) #define _IQ20toIQ(A) ((_iq20)(A) << (GLOBAL_Q - 20)) #else #define _IQtoIQ20(A) ((_iq20)(A) << (20 - GLOBAL_Q)) #define _IQ20toIQ(A) ((_iq20)(A) >> (20 - GLOBAL_Q)) #endif #if (GLOBAL_Q >= 19) #define _IQtoIQ19(A) ((_iq19)(A) >> (GLOBAL_Q - 19)) #define _IQ19toIQ(A) ((_iq19)(A) << (GLOBAL_Q - 19)) #else #define _IQtoIQ19(A) ((_iq19)(A) << (19 - GLOBAL_Q)) #define _IQ19toIQ(A) ((_iq19)(A) >> (19 - GLOBAL_Q)) #endif #if (GLOBAL_Q >= 18) #define _IQtoIQ18(A) ((_iq18)(A) >> (GLOBAL_Q - 18)) #define _IQ18toIQ(A) ((_iq18)(A) << (GLOBAL_Q - 18)) #else #define _IQtoIQ18(A) ((_iq18)(A) << (18 - GLOBAL_Q)) #define _IQ18toIQ(A) ((_iq18)(A) >> (18 - GLOBAL_Q)) #endif #if (GLOBAL_Q >= 17) #define _IQtoIQ17(A) ((_iq17)(A) >> (GLOBAL_Q - 17)) #define _IQ17toIQ(A) ((_iq17)(A) << (GLOBAL_Q - 17)) #else #define _IQtoIQ17(A) ((_iq17)(A) << (17 - GLOBAL_Q)) #define _IQ17toIQ(A) ((_iq17)(A) >> (17 - GLOBAL_Q)) #endif #if (GLOBAL_Q >= 16) #define _IQtoIQ16(A) ((_iq16)(A) >> (GLOBAL_Q - 16)) #define _IQ16toIQ(A) ((_iq16)(A) << (GLOBAL_Q - 16)) #else #define _IQtoIQ16(A) ((_iq16)(A) << (16 - GLOBAL_Q)) #define _IQ16toIQ(A) ((_iq16)(A) >> (16 - GLOBAL_Q)) #endif #if (GLOBAL_Q >= 15) #define _IQtoIQ15(A) ((_iq15)(A) >> (GLOBAL_Q - 15)) #define _IQ15toIQ(A) ((_iq15)(A) << (GLOBAL_Q - 15)) #else #define _IQtoIQ15(A) ((_iq15)(A) << (15 - GLOBAL_Q)) #define _IQ15toIQ(A) ((_iq15)(A) >> (15 - GLOBAL_Q)) #endif #if (GLOBAL_Q >= 14) #define _IQtoIQ14(A) ((_iq14)(A) >> (GLOBAL_Q - 14)) #define _IQ14toIQ(A) ((_iq14)(A) << (GLOBAL_Q - 14)) #else #define _IQtoIQ14(A) ((_iq14)(A) << (14 - GLOBAL_Q)) #define _IQ14toIQ(A) ((_iq14)(A) >> (14 - GLOBAL_Q)) #endif #if (GLOBAL_Q >= 13) #define _IQtoIQ13(A) ((_iq13)(A) >> (GLOBAL_Q - 13)) #define _IQ13toIQ(A) ((_iq13)(A) << (GLOBAL_Q - 13)) #else #define _IQtoIQ13(A) ((_iq13)(A) << (13 - GLOBAL_Q)) #define _IQ13toIQ(A) ((_iq13)(A) >> (13 - GLOBAL_Q)) #endif #if (GLOBAL_Q >= 12) #define _IQtoIQ12(A) ((_iq12)(A) >> (GLOBAL_Q - 12)) #define _IQ12toIQ(A) ((_iq12)(A) << (GLOBAL_Q - 12)) #else #define _IQtoIQ12(A) ((_iq12)(A) << (12 - GLOBAL_Q)) #define _IQ12toIQ(A) ((_iq12)(A) >> (12 - GLOBAL_Q)) #endif #if (GLOBAL_Q >= 11) #define _IQtoIQ11(A) ((_iq11)(A) >> (GLOBAL_Q - 11)) #define _IQ11toIQ(A) ((_iq11)(A) << (GLOBAL_Q - 11)) #else #define _IQtoIQ11(A) ((_iq11)(A) << (11 - GLOBAL_Q)) #define _IQ11toIQ(A) ((_iq11)(A) >> (11 - GLOBAL_Q)) #endif #if (GLOBAL_Q >= 10) #define _IQtoIQ10(A) ((_iq10)(A) >> (GLOBAL_Q - 10)) #define _IQ10toIQ(A) ((_iq10)(A) << (GLOBAL_Q - 10)) #else #define _IQtoIQ10(A) ((_iq10)(A) << (10 - GLOBAL_Q)) #define _IQ10toIQ(A) ((_iq10)(A) >> (10 - GLOBAL_Q)) #endif #if (GLOBAL_Q >= 9) #define _IQtoIQ9(A) ((_iq9)(A) >> (GLOBAL_Q - 9)) #define _IQ9toIQ(A) ((_iq9)(A) << (GLOBAL_Q - 9)) #else #define _IQtoIQ9(A) ((_iq9)(A) << (9 - GLOBAL_Q)) #define _IQ9toIQ(A) ((_iq9)(A) >> (9 - GLOBAL_Q)) #endif #if (GLOBAL_Q >= 8) #define _IQtoIQ8(A) ((_iq8)(A) >> (GLOBAL_Q - 8)) #define _IQ8toIQ(A) ((_iq8)(A) << (GLOBAL_Q - 8)) #else #define _IQtoIQ8(A) ((_iq8)(A) << (8 - GLOBAL_Q)) #define _IQ8toIQ(A) ((_iq8)(A) >> (8 - GLOBAL_Q)) #endif #if (GLOBAL_Q >= 7) #define _IQtoIQ7(A) ((_iq7)(A) >> (GLOBAL_Q - 7)) #define _IQ7toIQ(A) ((_iq7)(A) << (GLOBAL_Q - 7)) #else #define _IQtoIQ7(A) ((_iq7)(A) << (7 - GLOBAL_Q)) #define _IQ7toIQ(A) ((_iq7)(A) >> (7 - GLOBAL_Q)) #endif #if (GLOBAL_Q >= 6) #define _IQtoIQ6(A) ((_iq6)(A) >> (GLOBAL_Q - 6)) #define _IQ6toIQ(A) ((_iq6)(A) << (GLOBAL_Q - 6)) #else #define _IQtoIQ6(A) ((_iq6)(A) << (6 - GLOBAL_Q)) #define _IQ6toIQ(A) ((_iq6)(A) >> (6 - GLOBAL_Q)) #endif #if (GLOBAL_Q >= 5) #define _IQtoIQ5(A) ((_iq5)(A) >> (GLOBAL_Q - 5)) #define _IQ5toIQ(A) ((_iq5)(A) << (GLOBAL_Q - 5)) #else #define _IQtoIQ5(A) ((_iq5)(A) << (5 - GLOBAL_Q)) #define _IQ5toIQ(A) ((_iq5)(A) >> (5 - GLOBAL_Q)) #endif #if (GLOBAL_Q >= 4) #define _IQtoIQ4(A) ((_iq4)(A) >> (GLOBAL_Q - 4)) #define _IQ4toIQ(A) ((_iq4)(A) << (GLOBAL_Q - 4)) #else #define _IQtoIQ4(A) ((_iq4)(A) << (4 - GLOBAL_Q)) #define _IQ4toIQ(A) ((_iq4)(A) >> (4 - GLOBAL_Q)) #endif #if (GLOBAL_Q >= 3) #define _IQtoIQ3(A) ((_iq3)(A) >> (GLOBAL_Q - 3)) #define _IQ3toIQ(A) ((_iq3)(A) << (GLOBAL_Q - 3)) #else #define _IQtoIQ3(A) ((_iq3)(A) << (3 - GLOBAL_Q)) #define _IQ3toIQ(A) ((_iq3)(A) >> (3 - GLOBAL_Q)) #endif #if (GLOBAL_Q >= 2) #define _IQtoIQ2(A) ((_iq2)(A) >> (GLOBAL_Q - 2)) #define _IQ2toIQ(A) ((_iq2)(A) << (GLOBAL_Q - 2)) #else #define _IQtoIQ2(A) ((_iq2)(A) << (2 - GLOBAL_Q)) #define _IQ2toIQ(A) ((_iq2)(A) >> (2 - GLOBAL_Q)) #endif #define _IQtoIQ1(A) ((_iq1)(A) >> (GLOBAL_Q - 1)) #define _IQ1toIQ(A) ((_iq1)(A) << (GLOBAL_Q - 1)) //***************************************************************************** // // Converts a number between IQ format and 16-bit Qn format. // //***************************************************************************** #if (GLOBAL_Q >= 15) #define _IQtoQ15(A) ((long)(A) >> (GLOBAL_Q - 15)) #define _Q15toIQ(A) ((_iq15)(A) << (GLOBAL_Q - 15)) #else #define _IQtoQ15(A) ((long)(A) << (15 - GLOBAL_Q)) #define _Q15toIQ(A) ((_iq15)(A) >> (15 - GLOBAL_Q)) #endif #if (GLOBAL_Q >= 14) #define _IQtoQ14(A) ((long)(A) >> (GLOBAL_Q - 14)) #define _Q14toIQ(A) ((_iq14)(A) << (GLOBAL_Q - 14)) #else #define _IQtoQ14(A) ((long)(A) << (14 - GLOBAL_Q)) #define _Q14toIQ(A) ((_iq14)(A) >> (14 - GLOBAL_Q)) #endif #if (GLOBAL_Q >= 13) #define _IQtoQ13(A) ((long)(A) >> (GLOBAL_Q - 13)) #define _Q13toIQ(A) ((_iq13)(A) << (GLOBAL_Q - 13)) #else #define _IQtoQ13(A) ((long)(A) << (13 - GLOBAL_Q)) #define _Q13toIQ(A) ((_iq13)(A) >> (13 - GLOBAL_Q)) #endif #if (GLOBAL_Q >= 12) #define _IQtoQ12(A) ((long)(A) >> (GLOBAL_Q - 12)) #define _Q12toIQ(A) ((_iq12)(A) << (GLOBAL_Q - 12)) #else #define _IQtoQ12(A) ((long)(A) << (12 - GLOBAL_Q)) #define _Q12toIQ(A) ((_iq12)(A) >> (12 - GLOBAL_Q)) #endif #if (GLOBAL_Q >= 11) #define _IQtoQ11(A) ((long)(A) >> (GLOBAL_Q - 11)) #define _Q11toIQ(A) ((_iq11)(A) << (GLOBAL_Q - 11)) #else #define _IQtoQ11(A) ((long)(A) << (11 - GLOBAL_Q)) #define _Q11toIQ(A) ((_iq11)(A) >> (11 - GLOBAL_Q)) #endif #if (GLOBAL_Q >= 10) #define _IQtoQ10(A) ((long)(A) >> (GLOBAL_Q - 10)) #define _Q10toIQ(A) ((_iq10)(A) << (GLOBAL_Q - 10)) #else #define _IQtoQ10(A) ((long)(A) << (10 - GLOBAL_Q)) #define _Q10toIQ(A) ((_iq10)(A) >> (10 - GLOBAL_Q)) #endif #if (GLOBAL_Q >= 9) #define _IQtoQ9(A) ((long)(A) >> (GLOBAL_Q - 9)) #define _Q9toIQ(A) ((_iq9)(A) << (GLOBAL_Q - 9)) #else #define _IQtoQ9(A) ((long)(A) << (9 - GLOBAL_Q)) #define _Q9toIQ(A) ((_iq9)(A) >> (9 - GLOBAL_Q)) #endif #if (GLOBAL_Q >= 8) #define _IQtoQ8(A) ((long)(A) >> (GLOBAL_Q - 8)) #define _Q8toIQ(A) ((_iq8)(A) << (GLOBAL_Q - 8)) #else #define _IQtoQ8(A) ((long)(A) << (8 - GLOBAL_Q)) #define _Q8toIQ(A) ((_iq8)(A) >> (8 - GLOBAL_Q)) #endif #if (GLOBAL_Q >= 7) #define _IQtoQ7(A) ((long)(A) >> (GLOBAL_Q - 7)) #define _Q7toIQ(A) ((_iq7)(A) << (GLOBAL_Q - 7)) #else #define _IQtoQ7(A) ((long)(A) << (7 - GLOBAL_Q)) #define _Q7toIQ(A) ((_iq7)(A) >> (7 - GLOBAL_Q)) #endif #if (GLOBAL_Q >= 6) #define _IQtoQ6(A) ((long)(A) >> (GLOBAL_Q - 6)) #define _Q6toIQ(A) ((_iq6)(A) << (GLOBAL_Q - 6)) #else #define _IQtoQ6(A) ((long)(A) << (6 - GLOBAL_Q)) #define _Q6toIQ(A) ((_iq6)(A) >> (6 - GLOBAL_Q)) #endif #if (GLOBAL_Q >= 5) #define _IQtoQ5(A) ((long)(A) >> (GLOBAL_Q - 5)) #define _Q5toIQ(A) ((_iq5)(A) << (GLOBAL_Q - 5)) #else #define _IQtoQ5(A) ((long)(A) << (5 - GLOBAL_Q)) #define _Q5toIQ(A) ((_iq5)(A) >> (5 - GLOBAL_Q)) #endif #if (GLOBAL_Q >= 4) #define _IQtoQ4(A) ((long)(A) >> (GLOBAL_Q - 4)) #define _Q4toIQ(A) ((_iq4)(A) << (GLOBAL_Q - 4)) #else #define _IQtoQ4(A) ((long)(A) << (4 - GLOBAL_Q)) #define _Q4toIQ(A) ((_iq4)(A) >> (4 - GLOBAL_Q)) #endif #if (GLOBAL_Q >= 3) #define _IQtoQ3(A) ((long)(A) >> (GLOBAL_Q - 3)) #define _Q3toIQ(A) ((_iq3)(A) << (GLOBAL_Q - 3)) #else #define _IQtoQ3(A) ((long)(A) << (3 - GLOBAL_Q)) #define _Q3toIQ(A) ((_iq3)(A) >> (3 - GLOBAL_Q)) #endif #if (GLOBAL_Q >= 2) #define _IQtoQ2(A) ((long)(A) >> (GLOBAL_Q - 2)) #define _Q2toIQ(A) ((_iq2)(A) << (GLOBAL_Q - 2)) #else #define _IQtoQ2(A) ((long)(A) << (2 - GLOBAL_Q)) #define _Q2toIQ(A) ((_iq2)(A) >> (2 - GLOBAL_Q)) #endif #define _IQtoQ1(A) ((long)(A) >> (GLOBAL_Q - 1)) #define _Q1toIQ(A) ((_iq1)(A) << (GLOBAL_Q - 1)) //***************************************************************************** // // Multiplies two IQ numbers. // //***************************************************************************** extern _iq30 _IQ30mpy(_iq30 A, _iq30 B); extern _iq29 _IQ29mpy(_iq29 A, _iq29 B); extern _iq28 _IQ28mpy(_iq28 A, _iq28 B); extern _iq27 _IQ27mpy(_iq27 A, _iq27 B); extern _iq26 _IQ26mpy(_iq26 A, _iq26 B); extern _iq25 _IQ25mpy(_iq25 A, _iq25 B); extern _iq24 _IQ24mpy(_iq24 A, _iq24 B); extern _iq23 _IQ23mpy(_iq23 A, _iq23 B); extern _iq22 _IQ22mpy(_iq22 A, _iq22 B); extern _iq21 _IQ21mpy(_iq21 A, _iq21 B); extern _iq20 _IQ20mpy(_iq20 A, _iq20 B); extern _iq19 _IQ19mpy(_iq19 A, _iq19 B); extern _iq18 _IQ18mpy(_iq18 A, _iq18 B); extern _iq17 _IQ17mpy(_iq17 A, _iq17 B); extern _iq16 _IQ16mpy(_iq16 A, _iq16 B); extern _iq15 _IQ15mpy(_iq15 A, _iq15 B); extern _iq14 _IQ14mpy(_iq14 A, _iq14 B); extern _iq13 _IQ13mpy(_iq13 A, _iq13 B); extern _iq12 _IQ12mpy(_iq12 A, _iq12 B); extern _iq11 _IQ11mpy(_iq11 A, _iq11 B); extern _iq10 _IQ10mpy(_iq10 A, _iq10 B); extern _iq9 _IQ9mpy(_iq9 A, _iq9 B); extern _iq8 _IQ8mpy(_iq8 A, _iq8 B); extern _iq7 _IQ7mpy(_iq7 A, _iq7 B); extern _iq6 _IQ6mpy(_iq6 A, _iq6 B); extern _iq5 _IQ5mpy(_iq5 A, _iq5 B); extern _iq4 _IQ4mpy(_iq4 A, _iq4 B); extern _iq3 _IQ3mpy(_iq3 A, _iq3 B); extern _iq2 _IQ2mpy(_iq2 A, _iq2 B); extern _iq1 _IQ1mpy(_iq1 A, _iq1 B); #if GLOBAL_Q == 30 #define _IQmpy(A, B) _IQ30mpy(A, B) #endif #if GLOBAL_Q == 29 #define _IQmpy(A, B) _IQ29mpy(A, B) #endif #if GLOBAL_Q == 28 #define _IQmpy(A, B) _IQ28mpy(A, B) #endif #if GLOBAL_Q == 27 #define _IQmpy(A, B) _IQ27mpy(A, B) #endif #if GLOBAL_Q == 26 #define _IQmpy(A, B) _IQ26mpy(A, B) #endif #if GLOBAL_Q == 25 #define _IQmpy(A, B) _IQ25mpy(A, B) #endif #if GLOBAL_Q == 24 #define _IQmpy(A, B) _IQ24mpy(A, B) #endif #if GLOBAL_Q == 23 #define _IQmpy(A, B) _IQ23mpy(A, B) #endif #if GLOBAL_Q == 22 #define _IQmpy(A, B) _IQ22mpy(A, B) #endif #if GLOBAL_Q == 21 #define _IQmpy(A, B) _IQ21mpy(A, B) #endif #if GLOBAL_Q == 20 #define _IQmpy(A, B) _IQ20mpy(A, B) #endif #if GLOBAL_Q == 19 #define _IQmpy(A, B) _IQ19mpy(A, B) #endif #if GLOBAL_Q == 18 #define _IQmpy(A, B) _IQ18mpy(A, B) #endif #if GLOBAL_Q == 17 #define _IQmpy(A, B) _IQ17mpy(A, B) #endif #if GLOBAL_Q == 16 #define _IQmpy(A, B) _IQ16mpy(A, B) #endif #if GLOBAL_Q == 15 #define _IQmpy(A, B) _IQ15mpy(A, B) #endif #if GLOBAL_Q == 14 #define _IQmpy(A, B) _IQ14mpy(A, B) #endif #if GLOBAL_Q == 13 #define _IQmpy(A, B) _IQ13mpy(A, B) #endif #if GLOBAL_Q == 12 #define _IQmpy(A, B) _IQ12mpy(A, B) #endif #if GLOBAL_Q == 11 #define _IQmpy(A, B) _IQ11mpy(A, B) #endif #if GLOBAL_Q == 10 #define _IQmpy(A, B) _IQ10mpy(A, B) #endif #if GLOBAL_Q == 9 #define _IQmpy(A, B) _IQ9mpy(A, B) #endif #if GLOBAL_Q == 8 #define _IQmpy(A, B) _IQ8mpy(A, B) #endif #if GLOBAL_Q == 7 #define _IQmpy(A, B) _IQ7mpy(A, B) #endif #if GLOBAL_Q == 6 #define _IQmpy(A, B) _IQ6mpy(A, B) #endif #if GLOBAL_Q == 5 #define _IQmpy(A, B) _IQ5mpy(A, B) #endif #if GLOBAL_Q == 4 #define _IQmpy(A, B) _IQ4mpy(A, B) #endif #if GLOBAL_Q == 3 #define _IQmpy(A, B) _IQ3mpy(A, B) #endif #if GLOBAL_Q == 2 #define _IQmpy(A, B) _IQ2mpy(A, B) #endif #if GLOBAL_Q == 1 #define _IQmpy(A, B) _IQ1mpy(A, B) #endif //***************************************************************************** // // Multiplies two IQ numbers, with rounding. // //***************************************************************************** extern _iq30 _IQ30rmpy(_iq30 A, _iq30 B); extern _iq29 _IQ29rmpy(_iq29 A, _iq29 B); extern _iq28 _IQ28rmpy(_iq28 A, _iq28 B); extern _iq27 _IQ27rmpy(_iq27 A, _iq27 B); extern _iq26 _IQ26rmpy(_iq26 A, _iq26 B); extern _iq25 _IQ25rmpy(_iq25 A, _iq25 B); extern _iq24 _IQ24rmpy(_iq24 A, _iq24 B); extern _iq23 _IQ23rmpy(_iq23 A, _iq23 B); extern _iq22 _IQ22rmpy(_iq22 A, _iq22 B); extern _iq21 _IQ21rmpy(_iq21 A, _iq21 B); extern _iq20 _IQ20rmpy(_iq20 A, _iq20 B); extern _iq19 _IQ19rmpy(_iq19 A, _iq19 B); extern _iq18 _IQ18rmpy(_iq18 A, _iq18 B); extern _iq17 _IQ17rmpy(_iq17 A, _iq17 B); extern _iq16 _IQ16rmpy(_iq16 A, _iq16 B); extern _iq15 _IQ15rmpy(_iq15 A, _iq15 B); extern _iq14 _IQ14rmpy(_iq14 A, _iq14 B); extern _iq13 _IQ13rmpy(_iq13 A, _iq13 B); extern _iq12 _IQ12rmpy(_iq12 A, _iq12 B); extern _iq11 _IQ11rmpy(_iq11 A, _iq11 B); extern _iq10 _IQ10rmpy(_iq10 A, _iq10 B); extern _iq9 _IQ9rmpy(_iq9 A, _iq9 B); extern _iq8 _IQ8rmpy(_iq8 A, _iq8 B); extern _iq7 _IQ7rmpy(_iq7 A, _iq7 B); extern _iq6 _IQ6rmpy(_iq6 A, _iq6 B); extern _iq5 _IQ5rmpy(_iq5 A, _iq5 B); extern _iq4 _IQ4rmpy(_iq4 A, _iq4 B); extern _iq3 _IQ3rmpy(_iq3 A, _iq3 B); extern _iq2 _IQ2rmpy(_iq2 A, _iq2 B); extern _iq1 _IQ1rmpy(_iq1 A, _iq1 B); #if GLOBAL_Q == 30 #define _IQrmpy(A, B) _IQ30rmpy(A, B) #endif #if GLOBAL_Q == 29 #define _IQrmpy(A, B) _IQ29rmpy(A, B) #endif #if GLOBAL_Q == 28 #define _IQrmpy(A, B) _IQ28rmpy(A, B) #endif #if GLOBAL_Q == 27 #define _IQrmpy(A, B) _IQ27rmpy(A, B) #endif #if GLOBAL_Q == 26 #define _IQrmpy(A, B) _IQ26rmpy(A, B) #endif #if GLOBAL_Q == 25 #define _IQrmpy(A, B) _IQ25rmpy(A, B) #endif #if GLOBAL_Q == 24 #define _IQrmpy(A, B) _IQ24rmpy(A, B) #endif #if GLOBAL_Q == 23 #define _IQrmpy(A, B) _IQ23rmpy(A, B) #endif #if GLOBAL_Q == 22 #define _IQrmpy(A, B) _IQ22rmpy(A, B) #endif #if GLOBAL_Q == 21 #define _IQrmpy(A, B) _IQ21rmpy(A, B) #endif #if GLOBAL_Q == 20 #define _IQrmpy(A, B) _IQ20rmpy(A, B) #endif #if GLOBAL_Q == 19 #define _IQrmpy(A, B) _IQ19rmpy(A, B) #endif #if GLOBAL_Q == 18 #define _IQrmpy(A, B) _IQ18rmpy(A, B) #endif #if GLOBAL_Q == 17 #define _IQrmpy(A, B) _IQ17rmpy(A, B) #endif #if GLOBAL_Q == 16 #define _IQrmpy(A, B) _IQ16rmpy(A, B) #endif #if GLOBAL_Q == 15 #define _IQrmpy(A, B) _IQ15rmpy(A, B) #endif #if GLOBAL_Q == 14 #define _IQrmpy(A, B) _IQ14rmpy(A, B) #endif #if GLOBAL_Q == 13 #define _IQrmpy(A, B) _IQ13rmpy(A, B) #endif #if GLOBAL_Q == 12 #define _IQrmpy(A, B) _IQ12rmpy(A, B) #endif #if GLOBAL_Q == 11 #define _IQrmpy(A, B) _IQ11rmpy(A, B) #endif #if GLOBAL_Q == 10 #define _IQrmpy(A, B) _IQ10rmpy(A, B) #endif #if GLOBAL_Q == 9 #define _IQrmpy(A, B) _IQ9rmpy(A, B) #endif #if GLOBAL_Q == 8 #define _IQrmpy(A, B) _IQ8rmpy(A, B) #endif #if GLOBAL_Q == 7 #define _IQrmpy(A, B) _IQ7rmpy(A, B) #endif #if GLOBAL_Q == 6 #define _IQrmpy(A, B) _IQ6rmpy(A, B) #endif #if GLOBAL_Q == 5 #define _IQrmpy(A, B) _IQ5rmpy(A, B) #endif #if GLOBAL_Q == 4 #define _IQrmpy(A, B) _IQ4rmpy(A, B) #endif #if GLOBAL_Q == 3 #define _IQrmpy(A, B) _IQ3rmpy(A, B) #endif #if GLOBAL_Q == 2 #define _IQrmpy(A, B) _IQ2rmpy(A, B) #endif #if GLOBAL_Q == 1 #define _IQrmpy(A, B) _IQ1rmpy(A, B) #endif //***************************************************************************** // // Multiplies two IQ numbers, with rounding and saturation. // //***************************************************************************** extern _iq30 _IQ30rsmpy(_iq30 A, _iq30 B); extern _iq29 _IQ29rsmpy(_iq29 A, _iq29 B); extern _iq28 _IQ28rsmpy(_iq28 A, _iq28 B); extern _iq27 _IQ27rsmpy(_iq27 A, _iq27 B); extern _iq26 _IQ26rsmpy(_iq26 A, _iq26 B); extern _iq25 _IQ25rsmpy(_iq25 A, _iq25 B); extern _iq24 _IQ24rsmpy(_iq24 A, _iq24 B); extern _iq23 _IQ23rsmpy(_iq23 A, _iq23 B); extern _iq22 _IQ22rsmpy(_iq22 A, _iq22 B); extern _iq21 _IQ21rsmpy(_iq21 A, _iq21 B); extern _iq20 _IQ20rsmpy(_iq20 A, _iq20 B); extern _iq19 _IQ19rsmpy(_iq19 A, _iq19 B); extern _iq18 _IQ18rsmpy(_iq18 A, _iq18 B); extern _iq17 _IQ17rsmpy(_iq17 A, _iq17 B); extern _iq16 _IQ16rsmpy(_iq16 A, _iq16 B); extern _iq15 _IQ15rsmpy(_iq15 A, _iq15 B); extern _iq14 _IQ14rsmpy(_iq14 A, _iq14 B); extern _iq13 _IQ13rsmpy(_iq13 A, _iq13 B); extern _iq12 _IQ12rsmpy(_iq12 A, _iq12 B); extern _iq11 _IQ11rsmpy(_iq11 A, _iq11 B); extern _iq10 _IQ10rsmpy(_iq10 A, _iq10 B); extern _iq9 _IQ9rsmpy(_iq9 A, _iq9 B); extern _iq8 _IQ8rsmpy(_iq8 A, _iq8 B); extern _iq7 _IQ7rsmpy(_iq7 A, _iq7 B); extern _iq6 _IQ6rsmpy(_iq6 A, _iq6 B); extern _iq5 _IQ5rsmpy(_iq5 A, _iq5 B); extern _iq4 _IQ4rsmpy(_iq4 A, _iq4 B); extern _iq3 _IQ3rsmpy(_iq3 A, _iq3 B); extern _iq2 _IQ2rsmpy(_iq2 A, _iq2 B); extern _iq1 _IQ1rsmpy(_iq1 A, _iq1 B); #if GLOBAL_Q == 30 #define _IQrsmpy(A, B) _IQ30rsmpy(A, B) #endif #if GLOBAL_Q == 29 #define _IQrsmpy(A, B) _IQ29rsmpy(A, B) #endif #if GLOBAL_Q == 28 #define _IQrsmpy(A, B) _IQ28rsmpy(A, B) #endif #if GLOBAL_Q == 27 #define _IQrsmpy(A, B) _IQ27rsmpy(A, B) #endif #if GLOBAL_Q == 26 #define _IQrsmpy(A, B) _IQ26rsmpy(A, B) #endif #if GLOBAL_Q == 25 #define _IQrsmpy(A, B) _IQ25rsmpy(A, B) #endif #if GLOBAL_Q == 24 #define _IQrsmpy(A, B) _IQ24rsmpy(A, B) #endif #if GLOBAL_Q == 23 #define _IQrsmpy(A, B) _IQ23rsmpy(A, B) #endif #if GLOBAL_Q == 22 #define _IQrsmpy(A, B) _IQ22rsmpy(A, B) #endif #if GLOBAL_Q == 21 #define _IQrsmpy(A, B) _IQ21rsmpy(A, B) #endif #if GLOBAL_Q == 20 #define _IQrsmpy(A, B) _IQ20rsmpy(A, B) #endif #if GLOBAL_Q == 19 #define _IQrsmpy(A, B) _IQ19rsmpy(A, B) #endif #if GLOBAL_Q == 18 #define _IQrsmpy(A, B) _IQ18rsmpy(A, B) #endif #if GLOBAL_Q == 17 #define _IQrsmpy(A, B) _IQ17rsmpy(A, B) #endif #if GLOBAL_Q == 16 #define _IQrsmpy(A, B) _IQ16rsmpy(A, B) #endif #if GLOBAL_Q == 15 #define _IQrsmpy(A, B) _IQ15rsmpy(A, B) #endif #if GLOBAL_Q == 14 #define _IQrsmpy(A, B) _IQ14rsmpy(A, B) #endif #if GLOBAL_Q == 13 #define _IQrsmpy(A, B) _IQ13rsmpy(A, B) #endif #if GLOBAL_Q == 12 #define _IQrsmpy(A, B) _IQ12rsmpy(A, B) #endif #if GLOBAL_Q == 11 #define _IQrsmpy(A, B) _IQ11rsmpy(A, B) #endif #if GLOBAL_Q == 10 #define _IQrsmpy(A, B) _IQ10rsmpy(A, B) #endif #if GLOBAL_Q == 9 #define _IQrsmpy(A, B) _IQ9rsmpy(A, B) #endif #if GLOBAL_Q == 8 #define _IQrsmpy(A, B) _IQ8rsmpy(A, B) #endif #if GLOBAL_Q == 7 #define _IQrsmpy(A, B) _IQ7rsmpy(A, B) #endif #if GLOBAL_Q == 6 #define _IQrsmpy(A, B) _IQ6rsmpy(A, B) #endif #if GLOBAL_Q == 5 #define _IQrsmpy(A, B) _IQ5rsmpy(A, B) #endif #if GLOBAL_Q == 4 #define _IQrsmpy(A, B) _IQ4rsmpy(A, B) #endif #if GLOBAL_Q == 3 #define _IQrsmpy(A, B) _IQ3rsmpy(A, B) #endif #if GLOBAL_Q == 2 #define _IQrsmpy(A, B) _IQ2rsmpy(A, B) #endif #if GLOBAL_Q == 1 #define _IQrsmpy(A, B) _IQ1rsmpy(A, B) #endif //***************************************************************************** // // Divides two IQ numbers. // //***************************************************************************** extern _iq30 _IQ30div(_iq30 A, _iq30 B); extern _iq29 _IQ29div(_iq29 A, _iq29 B); extern _iq28 _IQ28div(_iq28 A, _iq28 B); extern _iq27 _IQ27div(_iq27 A, _iq27 B); extern _iq26 _IQ26div(_iq26 A, _iq26 B); extern _iq25 _IQ25div(_iq25 A, _iq25 B); extern _iq24 _IQ24div(_iq24 A, _iq24 B); extern _iq23 _IQ23div(_iq23 A, _iq23 B); extern _iq22 _IQ22div(_iq22 A, _iq22 B); extern _iq21 _IQ21div(_iq21 A, _iq21 B); extern _iq20 _IQ20div(_iq20 A, _iq20 B); extern _iq19 _IQ19div(_iq19 A, _iq19 B); extern _iq18 _IQ18div(_iq18 A, _iq18 B); extern _iq17 _IQ17div(_iq17 A, _iq17 B); extern _iq16 _IQ16div(_iq16 A, _iq16 B); extern _iq15 _IQ15div(_iq15 A, _iq15 B); extern _iq14 _IQ14div(_iq14 A, _iq14 B); extern _iq13 _IQ13div(_iq13 A, _iq13 B); extern _iq12 _IQ12div(_iq12 A, _iq12 B); extern _iq11 _IQ11div(_iq11 A, _iq11 B); extern _iq10 _IQ10div(_iq10 A, _iq10 B); extern _iq9 _IQ9div(_iq9 A, _iq9 B); extern _iq8 _IQ8div(_iq8 A, _iq8 B); extern _iq7 _IQ7div(_iq7 A, _iq7 B); extern _iq6 _IQ6div(_iq6 A, _iq6 B); extern _iq5 _IQ5div(_iq5 A, _iq5 B); extern _iq4 _IQ4div(_iq4 A, _iq4 B); extern _iq3 _IQ3div(_iq3 A, _iq3 B); extern _iq2 _IQ2div(_iq2 A, _iq2 B); extern _iq1 _IQ1div(_iq1 A, _iq1 B); #if GLOBAL_Q == 30 #define _IQdiv(A, B) _IQ30div(A, B) #endif #if GLOBAL_Q == 29 #define _IQdiv(A, B) _IQ29div(A, B) #endif #if GLOBAL_Q == 28 #define _IQdiv(A, B) _IQ28div(A, B) #endif #if GLOBAL_Q == 27 #define _IQdiv(A, B) _IQ27div(A, B) #endif #if GLOBAL_Q == 26 #define _IQdiv(A, B) _IQ26div(A, B) #endif #if GLOBAL_Q == 25 #define _IQdiv(A, B) _IQ25div(A, B) #endif #if GLOBAL_Q == 24 #define _IQdiv(A, B) _IQ24div(A, B) #endif #if GLOBAL_Q == 23 #define _IQdiv(A, B) _IQ23div(A, B) #endif #if GLOBAL_Q == 22 #define _IQdiv(A, B) _IQ22div(A, B) #endif #if GLOBAL_Q == 21 #define _IQdiv(A, B) _IQ21div(A, B) #endif #if GLOBAL_Q == 20 #define _IQdiv(A, B) _IQ20div(A, B) #endif #if GLOBAL_Q == 19 #define _IQdiv(A, B) _IQ19div(A, B) #endif #if GLOBAL_Q == 18 #define _IQdiv(A, B) _IQ18div(A, B) #endif #if GLOBAL_Q == 17 #define _IQdiv(A, B) _IQ17div(A, B) #endif #if GLOBAL_Q == 16 #define _IQdiv(A, B) _IQ16div(A, B) #endif #if GLOBAL_Q == 15 #define _IQdiv(A, B) _IQ15div(A, B) #endif #if GLOBAL_Q == 14 #define _IQdiv(A, B) _IQ14div(A, B) #endif #if GLOBAL_Q == 13 #define _IQdiv(A, B) _IQ13div(A, B) #endif #if GLOBAL_Q == 12 #define _IQdiv(A, B) _IQ12div(A, B) #endif #if GLOBAL_Q == 11 #define _IQdiv(A, B) _IQ11div(A, B) #endif #if GLOBAL_Q == 10 #define _IQdiv(A, B) _IQ10div(A, B) #endif #if GLOBAL_Q == 9 #define _IQdiv(A, B) _IQ9div(A, B) #endif #if GLOBAL_Q == 8 #define _IQdiv(A, B) _IQ8div(A, B) #endif #if GLOBAL_Q == 7 #define _IQdiv(A, B) _IQ7div(A, B) #endif #if GLOBAL_Q == 6 #define _IQdiv(A, B) _IQ6div(A, B) #endif #if GLOBAL_Q == 5 #define _IQdiv(A, B) _IQ5div(A, B) #endif #if GLOBAL_Q == 4 #define _IQdiv(A, B) _IQ4div(A, B) #endif #if GLOBAL_Q == 3 #define _IQdiv(A, B) _IQ3div(A, B) #endif #if GLOBAL_Q == 2 #define _IQdiv(A, B) _IQ2div(A, B) #endif #if GLOBAL_Q == 1 #define _IQdiv(A, B) _IQ1div(A, B) #endif //***************************************************************************** // // Computes the sin of an IQ number. // //***************************************************************************** extern _iq30 _IQ30sin(_iq30 A); extern _iq29 _IQ29sin(_iq29 A); extern _iq28 _IQ28sin(_iq28 A); extern _iq27 _IQ27sin(_iq27 A); extern _iq26 _IQ26sin(_iq26 A); extern _iq25 _IQ25sin(_iq25 A); extern _iq24 _IQ24sin(_iq24 A); extern _iq23 _IQ23sin(_iq23 A); extern _iq22 _IQ22sin(_iq22 A); extern _iq21 _IQ21sin(_iq21 A); extern _iq20 _IQ20sin(_iq20 A); extern _iq19 _IQ19sin(_iq19 A); extern _iq18 _IQ18sin(_iq18 A); extern _iq17 _IQ17sin(_iq17 A); extern _iq16 _IQ16sin(_iq16 A); extern _iq15 _IQ15sin(_iq15 A); extern _iq14 _IQ14sin(_iq14 A); extern _iq13 _IQ13sin(_iq13 A); extern _iq12 _IQ12sin(_iq12 A); extern _iq11 _IQ11sin(_iq11 A); extern _iq10 _IQ10sin(_iq10 A); extern _iq9 _IQ9sin(_iq9 A); extern _iq8 _IQ8sin(_iq8 A); extern _iq7 _IQ7sin(_iq7 A); extern _iq6 _IQ6sin(_iq6 A); extern _iq5 _IQ5sin(_iq5 A); extern _iq4 _IQ4sin(_iq4 A); extern _iq3 _IQ3sin(_iq3 A); extern _iq2 _IQ2sin(_iq2 A); extern _iq1 _IQ1sin(_iq1 A); #if GLOBAL_Q == 30 #define _IQsin(A) _IQ30sin(A) #endif #if GLOBAL_Q == 29 #define _IQsin(A) _IQ29sin(A) #endif #if GLOBAL_Q == 28 #define _IQsin(A) _IQ28sin(A) #endif #if GLOBAL_Q == 27 #define _IQsin(A) _IQ27sin(A) #endif #if GLOBAL_Q == 26 #define _IQsin(A) _IQ26sin(A) #endif #if GLOBAL_Q == 25 #define _IQsin(A) _IQ25sin(A) #endif #if GLOBAL_Q == 24 #define _IQsin(A) _IQ24sin(A) #endif #if GLOBAL_Q == 23 #define _IQsin(A) _IQ23sin(A) #endif #if GLOBAL_Q == 22 #define _IQsin(A) _IQ22sin(A) #endif #if GLOBAL_Q == 21 #define _IQsin(A) _IQ21sin(A) #endif #if GLOBAL_Q == 20 #define _IQsin(A) _IQ20sin(A) #endif #if GLOBAL_Q == 19 #define _IQsin(A) _IQ19sin(A) #endif #if GLOBAL_Q == 18 #define _IQsin(A) _IQ18sin(A) #endif #if GLOBAL_Q == 17 #define _IQsin(A) _IQ17sin(A) #endif #if GLOBAL_Q == 16 #define _IQsin(A) _IQ16sin(A) #endif #if GLOBAL_Q == 15 #define _IQsin(A) _IQ15sin(A) #endif #if GLOBAL_Q == 14 #define _IQsin(A) _IQ14sin(A) #endif #if GLOBAL_Q == 13 #define _IQsin(A) _IQ13sin(A) #endif #if GLOBAL_Q == 12 #define _IQsin(A) _IQ12sin(A) #endif #if GLOBAL_Q == 11 #define _IQsin(A) _IQ11sin(A) #endif #if GLOBAL_Q == 10 #define _IQsin(A) _IQ10sin(A) #endif #if GLOBAL_Q == 9 #define _IQsin(A) _IQ9sin(A) #endif #if GLOBAL_Q == 8 #define _IQsin(A) _IQ8sin(A) #endif #if GLOBAL_Q == 7 #define _IQsin(A) _IQ7sin(A) #endif #if GLOBAL_Q == 6 #define _IQsin(A) _IQ6sin(A) #endif #if GLOBAL_Q == 5 #define _IQsin(A) _IQ5sin(A) #endif #if GLOBAL_Q == 4 #define _IQsin(A) _IQ4sin(A) #endif #if GLOBAL_Q == 3 #define _IQsin(A) _IQ3sin(A) #endif #if GLOBAL_Q == 2 #define _IQsin(A) _IQ2sin(A) #endif #if GLOBAL_Q == 1 #define _IQsin(A) _IQ1sin(A) #endif //***************************************************************************** // // Computes the sin of an IQ number, using cycles per unit instead of radians. // //***************************************************************************** extern _iq30 _IQ30sinPU(_iq30 A); extern _iq29 _IQ29sinPU(_iq29 A); extern _iq28 _IQ28sinPU(_iq28 A); extern _iq27 _IQ27sinPU(_iq27 A); extern _iq26 _IQ26sinPU(_iq26 A); extern _iq25 _IQ25sinPU(_iq25 A); extern _iq24 _IQ24sinPU(_iq24 A); extern _iq23 _IQ23sinPU(_iq23 A); extern _iq22 _IQ22sinPU(_iq22 A); extern _iq21 _IQ21sinPU(_iq21 A); extern _iq20 _IQ20sinPU(_iq20 A); extern _iq19 _IQ19sinPU(_iq19 A); extern _iq18 _IQ18sinPU(_iq18 A); extern _iq17 _IQ17sinPU(_iq17 A); extern _iq16 _IQ16sinPU(_iq16 A); extern _iq15 _IQ15sinPU(_iq15 A); extern _iq14 _IQ14sinPU(_iq14 A); extern _iq13 _IQ13sinPU(_iq13 A); extern _iq12 _IQ12sinPU(_iq12 A); extern _iq11 _IQ11sinPU(_iq11 A); extern _iq10 _IQ10sinPU(_iq10 A); extern _iq9 _IQ9sinPU(_iq9 A); extern _iq8 _IQ8sinPU(_iq8 A); extern _iq7 _IQ7sinPU(_iq7 A); extern _iq6 _IQ6sinPU(_iq6 A); extern _iq5 _IQ5sinPU(_iq5 A); extern _iq4 _IQ4sinPU(_iq4 A); extern _iq3 _IQ3sinPU(_iq3 A); extern _iq2 _IQ2sinPU(_iq2 A); extern _iq1 _IQ1sinPU(_iq1 A); #if GLOBAL_Q == 30 #define _IQsinPU(A) _IQ30sinPU(A) #endif #if GLOBAL_Q == 29 #define _IQsinPU(A) _IQ29sinPU(A) #endif #if GLOBAL_Q == 28 #define _IQsinPU(A) _IQ28sinPU(A) #endif #if GLOBAL_Q == 27 #define _IQsinPU(A) _IQ27sinPU(A) #endif #if GLOBAL_Q == 26 #define _IQsinPU(A) _IQ26sinPU(A) #endif #if GLOBAL_Q == 25 #define _IQsinPU(A) _IQ25sinPU(A) #endif #if GLOBAL_Q == 24 #define _IQsinPU(A) _IQ24sinPU(A) #endif #if GLOBAL_Q == 23 #define _IQsinPU(A) _IQ23sinPU(A) #endif #if GLOBAL_Q == 22 #define _IQsinPU(A) _IQ22sinPU(A) #endif #if GLOBAL_Q == 21 #define _IQsinPU(A) _IQ21sinPU(A) #endif #if GLOBAL_Q == 20 #define _IQsinPU(A) _IQ20sinPU(A) #endif #if GLOBAL_Q == 19 #define _IQsinPU(A) _IQ19sinPU(A) #endif #if GLOBAL_Q == 18 #define _IQsinPU(A) _IQ18sinPU(A) #endif #if GLOBAL_Q == 17 #define _IQsinPU(A) _IQ17sinPU(A) #endif #if GLOBAL_Q == 16 #define _IQsinPU(A) _IQ16sinPU(A) #endif #if GLOBAL_Q == 15 #define _IQsinPU(A) _IQ15sinPU(A) #endif #if GLOBAL_Q == 14 #define _IQsinPU(A) _IQ14sinPU(A) #endif #if GLOBAL_Q == 13 #define _IQsinPU(A) _IQ13sinPU(A) #endif #if GLOBAL_Q == 12 #define _IQsinPU(A) _IQ12sinPU(A) #endif #if GLOBAL_Q == 11 #define _IQsinPU(A) _IQ11sinPU(A) #endif #if GLOBAL_Q == 10 #define _IQsinPU(A) _IQ10sinPU(A) #endif #if GLOBAL_Q == 9 #define _IQsinPU(A) _IQ9sinPU(A) #endif #if GLOBAL_Q == 8 #define _IQsinPU(A) _IQ8sinPU(A) #endif #if GLOBAL_Q == 7 #define _IQsinPU(A) _IQ7sinPU(A) #endif #if GLOBAL_Q == 6 #define _IQsinPU(A) _IQ6sinPU(A) #endif #if GLOBAL_Q == 5 #define _IQsinPU(A) _IQ5sinPU(A) #endif #if GLOBAL_Q == 4 #define _IQsinPU(A) _IQ4sinPU(A) #endif #if GLOBAL_Q == 3 #define _IQsinPU(A) _IQ3sinPU(A) #endif #if GLOBAL_Q == 2 #define _IQsinPU(A) _IQ2sinPU(A) #endif #if GLOBAL_Q == 1 #define _IQsinPU(A) _IQ1sinPU(A) #endif //***************************************************************************** // // Computes the arcsin of an IQ number. // //***************************************************************************** extern _iq30 _IQ30asin(_iq30 A); extern _iq29 _IQ29asin(_iq29 A); extern _iq28 _IQ28asin(_iq28 A); extern _iq27 _IQ27asin(_iq27 A); extern _iq26 _IQ26asin(_iq26 A); extern _iq25 _IQ25asin(_iq25 A); extern _iq24 _IQ24asin(_iq24 A); extern _iq23 _IQ23asin(_iq23 A); extern _iq22 _IQ22asin(_iq22 A); extern _iq21 _IQ21asin(_iq21 A); extern _iq20 _IQ20asin(_iq20 A); extern _iq19 _IQ19asin(_iq19 A); extern _iq18 _IQ18asin(_iq18 A); extern _iq17 _IQ17asin(_iq17 A); extern _iq16 _IQ16asin(_iq16 A); extern _iq15 _IQ15asin(_iq15 A); extern _iq14 _IQ14asin(_iq14 A); extern _iq13 _IQ13asin(_iq13 A); extern _iq12 _IQ12asin(_iq12 A); extern _iq11 _IQ11asin(_iq11 A); extern _iq10 _IQ10asin(_iq10 A); extern _iq9 _IQ9asin(_iq9 A); extern _iq8 _IQ8asin(_iq8 A); extern _iq7 _IQ7asin(_iq7 A); extern _iq6 _IQ6asin(_iq6 A); extern _iq5 _IQ5asin(_iq5 A); extern _iq4 _IQ4asin(_iq4 A); extern _iq3 _IQ3asin(_iq3 A); extern _iq2 _IQ2asin(_iq2 A); extern _iq1 _IQ1asin(_iq1 A); #if GLOBAL_Q == 30 #define _IQasin(A) _IQ30asin(A) #endif #if GLOBAL_Q == 29 #define _IQasin(A) _IQ29asin(A) #endif #if GLOBAL_Q == 28 #define _IQasin(A) _IQ28asin(A) #endif #if GLOBAL_Q == 27 #define _IQasin(A) _IQ27asin(A) #endif #if GLOBAL_Q == 26 #define _IQasin(A) _IQ26asin(A) #endif #if GLOBAL_Q == 25 #define _IQasin(A) _IQ25asin(A) #endif #if GLOBAL_Q == 24 #define _IQasin(A) _IQ24asin(A) #endif #if GLOBAL_Q == 23 #define _IQasin(A) _IQ23asin(A) #endif #if GLOBAL_Q == 22 #define _IQasin(A) _IQ22asin(A) #endif #if GLOBAL_Q == 21 #define _IQasin(A) _IQ21asin(A) #endif #if GLOBAL_Q == 20 #define _IQasin(A) _IQ20asin(A) #endif #if GLOBAL_Q == 19 #define _IQasin(A) _IQ19asin(A) #endif #if GLOBAL_Q == 18 #define _IQasin(A) _IQ18asin(A) #endif #if GLOBAL_Q == 17 #define _IQasin(A) _IQ17asin(A) #endif #if GLOBAL_Q == 16 #define _IQasin(A) _IQ16asin(A) #endif #if GLOBAL_Q == 15 #define _IQasin(A) _IQ15asin(A) #endif #if GLOBAL_Q == 14 #define _IQasin(A) _IQ14asin(A) #endif #if GLOBAL_Q == 13 #define _IQasin(A) _IQ13asin(A) #endif #if GLOBAL_Q == 12 #define _IQasin(A) _IQ12asin(A) #endif #if GLOBAL_Q == 11 #define _IQasin(A) _IQ11asin(A) #endif #if GLOBAL_Q == 10 #define _IQasin(A) _IQ10asin(A) #endif #if GLOBAL_Q == 9 #define _IQasin(A) _IQ9asin(A) #endif #if GLOBAL_Q == 8 #define _IQasin(A) _IQ8asin(A) #endif #if GLOBAL_Q == 7 #define _IQasin(A) _IQ7asin(A) #endif #if GLOBAL_Q == 6 #define _IQasin(A) _IQ6asin(A) #endif #if GLOBAL_Q == 5 #define _IQasin(A) _IQ5asin(A) #endif #if GLOBAL_Q == 4 #define _IQasin(A) _IQ4asin(A) #endif #if GLOBAL_Q == 3 #define _IQasin(A) _IQ3asin(A) #endif #if GLOBAL_Q == 2 #define _IQasin(A) _IQ2asin(A) #endif #if GLOBAL_Q == 1 #define _IQasin(A) _IQ1asin(A) #endif //***************************************************************************** // // Computes the cos of an IQ number. // //***************************************************************************** extern _iq30 _IQ30cos(_iq30 A); extern _iq29 _IQ29cos(_iq29 A); extern _iq28 _IQ28cos(_iq28 A); extern _iq27 _IQ27cos(_iq27 A); extern _iq26 _IQ26cos(_iq26 A); extern _iq25 _IQ25cos(_iq25 A); extern _iq24 _IQ24cos(_iq24 A); extern _iq23 _IQ23cos(_iq23 A); extern _iq22 _IQ22cos(_iq22 A); extern _iq21 _IQ21cos(_iq21 A); extern _iq20 _IQ20cos(_iq20 A); extern _iq19 _IQ19cos(_iq19 A); extern _iq18 _IQ18cos(_iq18 A); extern _iq17 _IQ17cos(_iq17 A); extern _iq16 _IQ16cos(_iq16 A); extern _iq15 _IQ15cos(_iq15 A); extern _iq14 _IQ14cos(_iq14 A); extern _iq13 _IQ13cos(_iq13 A); extern _iq12 _IQ12cos(_iq12 A); extern _iq11 _IQ11cos(_iq11 A); extern _iq10 _IQ10cos(_iq10 A); extern _iq9 _IQ9cos(_iq9 A); extern _iq8 _IQ8cos(_iq8 A); extern _iq7 _IQ7cos(_iq7 A); extern _iq6 _IQ6cos(_iq6 A); extern _iq5 _IQ5cos(_iq5 A); extern _iq4 _IQ4cos(_iq4 A); extern _iq3 _IQ3cos(_iq3 A); extern _iq2 _IQ2cos(_iq2 A); extern _iq1 _IQ1cos(_iq1 A); #if GLOBAL_Q == 30 #define _IQcos(A) _IQ30cos(A) #endif #if GLOBAL_Q == 29 #define _IQcos(A) _IQ29cos(A) #endif #if GLOBAL_Q == 28 #define _IQcos(A) _IQ28cos(A) #endif #if GLOBAL_Q == 27 #define _IQcos(A) _IQ27cos(A) #endif #if GLOBAL_Q == 26 #define _IQcos(A) _IQ26cos(A) #endif #if GLOBAL_Q == 25 #define _IQcos(A) _IQ25cos(A) #endif #if GLOBAL_Q == 24 #define _IQcos(A) _IQ24cos(A) #endif #if GLOBAL_Q == 23 #define _IQcos(A) _IQ23cos(A) #endif #if GLOBAL_Q == 22 #define _IQcos(A) _IQ22cos(A) #endif #if GLOBAL_Q == 21 #define _IQcos(A) _IQ21cos(A) #endif #if GLOBAL_Q == 20 #define _IQcos(A) _IQ20cos(A) #endif #if GLOBAL_Q == 19 #define _IQcos(A) _IQ19cos(A) #endif #if GLOBAL_Q == 18 #define _IQcos(A) _IQ18cos(A) #endif #if GLOBAL_Q == 17 #define _IQcos(A) _IQ17cos(A) #endif #if GLOBAL_Q == 16 #define _IQcos(A) _IQ16cos(A) #endif #if GLOBAL_Q == 15 #define _IQcos(A) _IQ15cos(A) #endif #if GLOBAL_Q == 14 #define _IQcos(A) _IQ14cos(A) #endif #if GLOBAL_Q == 13 #define _IQcos(A) _IQ13cos(A) #endif #if GLOBAL_Q == 12 #define _IQcos(A) _IQ12cos(A) #endif #if GLOBAL_Q == 11 #define _IQcos(A) _IQ11cos(A) #endif #if GLOBAL_Q == 10 #define _IQcos(A) _IQ10cos(A) #endif #if GLOBAL_Q == 9 #define _IQcos(A) _IQ9cos(A) #endif #if GLOBAL_Q == 8 #define _IQcos(A) _IQ8cos(A) #endif #if GLOBAL_Q == 7 #define _IQcos(A) _IQ7cos(A) #endif #if GLOBAL_Q == 6 #define _IQcos(A) _IQ6cos(A) #endif #if GLOBAL_Q == 5 #define _IQcos(A) _IQ5cos(A) #endif #if GLOBAL_Q == 4 #define _IQcos(A) _IQ4cos(A) #endif #if GLOBAL_Q == 3 #define _IQcos(A) _IQ3cos(A) #endif #if GLOBAL_Q == 2 #define _IQcos(A) _IQ2cos(A) #endif #if GLOBAL_Q == 1 #define _IQcos(A) _IQ1cos(A) #endif //***************************************************************************** // // Computes the cos of an IQ number, using cycles per unit instead of radians. // //***************************************************************************** extern _iq30 _IQ30cosPU(_iq30 A); extern _iq29 _IQ29cosPU(_iq29 A); extern _iq28 _IQ28cosPU(_iq28 A); extern _iq27 _IQ27cosPU(_iq27 A); extern _iq26 _IQ26cosPU(_iq26 A); extern _iq25 _IQ25cosPU(_iq25 A); extern _iq24 _IQ24cosPU(_iq24 A); extern _iq23 _IQ23cosPU(_iq23 A); extern _iq22 _IQ22cosPU(_iq22 A); extern _iq21 _IQ21cosPU(_iq21 A); extern _iq20 _IQ20cosPU(_iq20 A); extern _iq19 _IQ19cosPU(_iq19 A); extern _iq18 _IQ18cosPU(_iq18 A); extern _iq17 _IQ17cosPU(_iq17 A); extern _iq16 _IQ16cosPU(_iq16 A); extern _iq15 _IQ15cosPU(_iq15 A); extern _iq14 _IQ14cosPU(_iq14 A); extern _iq13 _IQ13cosPU(_iq13 A); extern _iq12 _IQ12cosPU(_iq12 A); extern _iq11 _IQ11cosPU(_iq11 A); extern _iq10 _IQ10cosPU(_iq10 A); extern _iq9 _IQ9cosPU(_iq9 A); extern _iq8 _IQ8cosPU(_iq8 A); extern _iq7 _IQ7cosPU(_iq7 A); extern _iq6 _IQ6cosPU(_iq6 A); extern _iq5 _IQ5cosPU(_iq5 A); extern _iq4 _IQ4cosPU(_iq4 A); extern _iq3 _IQ3cosPU(_iq3 A); extern _iq2 _IQ2cosPU(_iq2 A); extern _iq1 _IQ1cosPU(_iq1 A); #if GLOBAL_Q == 30 #define _IQcosPU(A) _IQ30cosPU(A) #endif #if GLOBAL_Q == 29 #define _IQcosPU(A) _IQ29cosPU(A) #endif #if GLOBAL_Q == 28 #define _IQcosPU(A) _IQ28cosPU(A) #endif #if GLOBAL_Q == 27 #define _IQcosPU(A) _IQ27cosPU(A) #endif #if GLOBAL_Q == 26 #define _IQcosPU(A) _IQ26cosPU(A) #endif #if GLOBAL_Q == 25 #define _IQcosPU(A) _IQ25cosPU(A) #endif #if GLOBAL_Q == 24 #define _IQcosPU(A) _IQ24cosPU(A) #endif #if GLOBAL_Q == 23 #define _IQcosPU(A) _IQ23cosPU(A) #endif #if GLOBAL_Q == 22 #define _IQcosPU(A) _IQ22cosPU(A) #endif #if GLOBAL_Q == 21 #define _IQcosPU(A) _IQ21cosPU(A) #endif #if GLOBAL_Q == 20 #define _IQcosPU(A) _IQ20cosPU(A) #endif #if GLOBAL_Q == 19 #define _IQcosPU(A) _IQ19cosPU(A) #endif #if GLOBAL_Q == 18 #define _IQcosPU(A) _IQ18cosPU(A) #endif #if GLOBAL_Q == 17 #define _IQcosPU(A) _IQ17cosPU(A) #endif #if GLOBAL_Q == 16 #define _IQcosPU(A) _IQ16cosPU(A) #endif #if GLOBAL_Q == 15 #define _IQcosPU(A) _IQ15cosPU(A) #endif #if GLOBAL_Q == 14 #define _IQcosPU(A) _IQ14cosPU(A) #endif #if GLOBAL_Q == 13 #define _IQcosPU(A) _IQ13cosPU(A) #endif #if GLOBAL_Q == 12 #define _IQcosPU(A) _IQ12cosPU(A) #endif #if GLOBAL_Q == 11 #define _IQcosPU(A) _IQ11cosPU(A) #endif #if GLOBAL_Q == 10 #define _IQcosPU(A) _IQ10cosPU(A) #endif #if GLOBAL_Q == 9 #define _IQcosPU(A) _IQ9cosPU(A) #endif #if GLOBAL_Q == 8 #define _IQcosPU(A) _IQ8cosPU(A) #endif #if GLOBAL_Q == 7 #define _IQcosPU(A) _IQ7cosPU(A) #endif #if GLOBAL_Q == 6 #define _IQcosPU(A) _IQ6cosPU(A) #endif #if GLOBAL_Q == 5 #define _IQcosPU(A) _IQ5cosPU(A) #endif #if GLOBAL_Q == 4 #define _IQcosPU(A) _IQ4cosPU(A) #endif #if GLOBAL_Q == 3 #define _IQcosPU(A) _IQ3cosPU(A) #endif #if GLOBAL_Q == 2 #define _IQcosPU(A) _IQ2cosPU(A) #endif #if GLOBAL_Q == 1 #define _IQcosPU(A) _IQ1cosPU(A) #endif //***************************************************************************** // // Computes the arccos of an IQ number. // //***************************************************************************** #define _IQ30acos(A) (_IQ30(1.570796327) - _IQ30asin(A)) #define _IQ29acos(A) (_IQ29(1.570796327) - _IQ29asin(A)) #define _IQ28acos(A) (_IQ28(1.570796327) - _IQ28asin(A)) #define _IQ27acos(A) (_IQ27(1.570796327) - _IQ27asin(A)) #define _IQ26acos(A) (_IQ26(1.570796327) - _IQ26asin(A)) #define _IQ25acos(A) (_IQ25(1.570796327) - _IQ25asin(A)) #define _IQ24acos(A) (_IQ24(1.570796327) - _IQ24asin(A)) #define _IQ23acos(A) (_IQ23(1.570796327) - _IQ23asin(A)) #define _IQ22acos(A) (_IQ22(1.570796327) - _IQ22asin(A)) #define _IQ21acos(A) (_IQ21(1.570796327) - _IQ21asin(A)) #define _IQ20acos(A) (_IQ20(1.570796327) - _IQ20asin(A)) #define _IQ19acos(A) (_IQ19(1.570796327) - _IQ19asin(A)) #define _IQ18acos(A) (_IQ18(1.570796327) - _IQ18asin(A)) #define _IQ17acos(A) (_IQ17(1.570796327) - _IQ17asin(A)) #define _IQ16acos(A) (_IQ16(1.570796327) - _IQ16asin(A)) #define _IQ15acos(A) (_IQ15(1.570796327) - _IQ15asin(A)) #define _IQ14acos(A) (_IQ14(1.570796327) - _IQ14asin(A)) #define _IQ13acos(A) (_IQ13(1.570796327) - _IQ13asin(A)) #define _IQ12acos(A) (_IQ12(1.570796327) - _IQ12asin(A)) #define _IQ11acos(A) (_IQ11(1.570796327) - _IQ11asin(A)) #define _IQ10acos(A) (_IQ10(1.570796327) - _IQ10asin(A)) #define _IQ9acos(A) (_IQ9(1.570796327) - _IQ9asin(A)) #define _IQ8acos(A) (_IQ8(1.570796327) - _IQ8asin(A)) #define _IQ7acos(A) (_IQ7(1.570796327) - _IQ7asin(A)) #define _IQ6acos(A) (_IQ6(1.570796327) - _IQ6asin(A)) #define _IQ5acos(A) (_IQ5(1.570796327) - _IQ5asin(A)) #define _IQ4acos(A) (_IQ4(1.570796327) - _IQ4asin(A)) #define _IQ3acos(A) (_IQ3(1.570796327) - _IQ3asin(A)) #define _IQ2acos(A) (_IQ2(1.570796327) - _IQ2asin(A)) #define _IQ1acos(A) (_IQ1(1.570796327) - _IQ1asin(A)) #if GLOBAL_Q == 30 #define _IQacos(A) _IQ30acos(A) #endif #if GLOBAL_Q == 29 #define _IQacos(A) _IQ29acos(A) #endif #if GLOBAL_Q == 28 #define _IQacos(A) _IQ28acos(A) #endif #if GLOBAL_Q == 27 #define _IQacos(A) _IQ27acos(A) #endif #if GLOBAL_Q == 26 #define _IQacos(A) _IQ26acos(A) #endif #if GLOBAL_Q == 25 #define _IQacos(A) _IQ25acos(A) #endif #if GLOBAL_Q == 24 #define _IQacos(A) _IQ24acos(A) #endif #if GLOBAL_Q == 23 #define _IQacos(A) _IQ23acos(A) #endif #if GLOBAL_Q == 22 #define _IQacos(A) _IQ22acos(A) #endif #if GLOBAL_Q == 21 #define _IQacos(A) _IQ21acos(A) #endif #if GLOBAL_Q == 20 #define _IQacos(A) _IQ20acos(A) #endif #if GLOBAL_Q == 19 #define _IQacos(A) _IQ19acos(A) #endif #if GLOBAL_Q == 18 #define _IQacos(A) _IQ18acos(A) #endif #if GLOBAL_Q == 17 #define _IQacos(A) _IQ17acos(A) #endif #if GLOBAL_Q == 16 #define _IQacos(A) _IQ16acos(A) #endif #if GLOBAL_Q == 15 #define _IQacos(A) _IQ15acos(A) #endif #if GLOBAL_Q == 14 #define _IQacos(A) _IQ14acos(A) #endif #if GLOBAL_Q == 13 #define _IQacos(A) _IQ13acos(A) #endif #if GLOBAL_Q == 12 #define _IQacos(A) _IQ12acos(A) #endif #if GLOBAL_Q == 11 #define _IQacos(A) _IQ11acos(A) #endif #if GLOBAL_Q == 10 #define _IQacos(A) _IQ10acos(A) #endif #if GLOBAL_Q == 9 #define _IQacos(A) _IQ9acos(A) #endif #if GLOBAL_Q == 8 #define _IQacos(A) _IQ8acos(A) #endif #if GLOBAL_Q == 7 #define _IQacos(A) _IQ7acos(A) #endif #if GLOBAL_Q == 6 #define _IQacos(A) _IQ6acos(A) #endif #if GLOBAL_Q == 5 #define _IQacos(A) _IQ5acos(A) #endif #if GLOBAL_Q == 4 #define _IQacos(A) _IQ4acos(A) #endif #if GLOBAL_Q == 3 #define _IQacos(A) _IQ3acos(A) #endif #if GLOBAL_Q == 2 #define _IQacos(A) _IQ2acos(A) #endif #if GLOBAL_Q == 1 #define _IQacos(A) _IQ1acos(A) #endif //***************************************************************************** // // Computes the arctan of a coordinate specified by two IQ numbers. // //***************************************************************************** extern _iq30 _IQ30atan2(_iq30 A, _iq30 B); extern _iq29 _IQ29atan2(_iq29 A, _iq29 B); extern _iq28 _IQ28atan2(_iq28 A, _iq28 B); extern _iq27 _IQ27atan2(_iq27 A, _iq27 B); extern _iq26 _IQ26atan2(_iq26 A, _iq26 B); extern _iq25 _IQ25atan2(_iq25 A, _iq25 B); extern _iq24 _IQ24atan2(_iq24 A, _iq24 B); extern _iq23 _IQ23atan2(_iq23 A, _iq23 B); extern _iq22 _IQ22atan2(_iq22 A, _iq22 B); extern _iq21 _IQ21atan2(_iq21 A, _iq21 B); extern _iq20 _IQ20atan2(_iq20 A, _iq20 B); extern _iq19 _IQ19atan2(_iq19 A, _iq19 B); extern _iq18 _IQ18atan2(_iq18 A, _iq18 B); extern _iq17 _IQ17atan2(_iq17 A, _iq17 B); extern _iq16 _IQ16atan2(_iq16 A, _iq16 B); extern _iq15 _IQ15atan2(_iq15 A, _iq15 B); extern _iq14 _IQ14atan2(_iq14 A, _iq14 B); extern _iq13 _IQ13atan2(_iq13 A, _iq13 B); extern _iq12 _IQ12atan2(_iq12 A, _iq12 B); extern _iq11 _IQ11atan2(_iq11 A, _iq11 B); extern _iq10 _IQ10atan2(_iq10 A, _iq10 B); extern _iq9 _IQ9atan2(_iq9 A, _iq9 B); extern _iq8 _IQ8atan2(_iq8 A, _iq8 B); extern _iq7 _IQ7atan2(_iq7 A, _iq7 B); extern _iq6 _IQ6atan2(_iq6 A, _iq6 B); extern _iq5 _IQ5atan2(_iq5 A, _iq5 B); extern _iq4 _IQ4atan2(_iq4 A, _iq4 B); extern _iq3 _IQ3atan2(_iq3 A, _iq3 B); extern _iq2 _IQ2atan2(_iq2 A, _iq2 B); extern _iq1 _IQ1atan2(_iq1 A, _iq1 B); #if GLOBAL_Q == 30 #define _IQatan2(A, B) _IQ30atan2(A, B) #endif #if GLOBAL_Q == 29 #define _IQatan2(A, B) _IQ29atan2(A, B) #endif #if GLOBAL_Q == 28 #define _IQatan2(A, B) _IQ28atan2(A, B) #endif #if GLOBAL_Q == 27 #define _IQatan2(A, B) _IQ27atan2(A, B) #endif #if GLOBAL_Q == 26 #define _IQatan2(A, B) _IQ26atan2(A, B) #endif #if GLOBAL_Q == 25 #define _IQatan2(A, B) _IQ25atan2(A, B) #endif #if GLOBAL_Q == 24 #define _IQatan2(A, B) _IQ24atan2(A, B) #endif #if GLOBAL_Q == 23 #define _IQatan2(A, B) _IQ23atan2(A, B) #endif #if GLOBAL_Q == 22 #define _IQatan2(A, B) _IQ22atan2(A, B) #endif #if GLOBAL_Q == 21 #define _IQatan2(A, B) _IQ21atan2(A, B) #endif #if GLOBAL_Q == 20 #define _IQatan2(A, B) _IQ20atan2(A, B) #endif #if GLOBAL_Q == 19 #define _IQatan2(A, B) _IQ19atan2(A, B) #endif #if GLOBAL_Q == 18 #define _IQatan2(A, B) _IQ18atan2(A, B) #endif #if GLOBAL_Q == 17 #define _IQatan2(A, B) _IQ17atan2(A, B) #endif #if GLOBAL_Q == 16 #define _IQatan2(A, B) _IQ16atan2(A, B) #endif #if GLOBAL_Q == 15 #define _IQatan2(A, B) _IQ15atan2(A, B) #endif #if GLOBAL_Q == 14 #define _IQatan2(A, B) _IQ14atan2(A, B) #endif #if GLOBAL_Q == 13 #define _IQatan2(A, B) _IQ13atan2(A, B) #endif #if GLOBAL_Q == 12 #define _IQatan2(A, B) _IQ12atan2(A, B) #endif #if GLOBAL_Q == 11 #define _IQatan2(A, B) _IQ11atan2(A, B) #endif #if GLOBAL_Q == 10 #define _IQatan2(A, B) _IQ10atan2(A, B) #endif #if GLOBAL_Q == 9 #define _IQatan2(A, B) _IQ9atan2(A, B) #endif #if GLOBAL_Q == 8 #define _IQatan2(A, B) _IQ8atan2(A, B) #endif #if GLOBAL_Q == 7 #define _IQatan2(A, B) _IQ7atan2(A, B) #endif #if GLOBAL_Q == 6 #define _IQatan2(A, B) _IQ6atan2(A, B) #endif #if GLOBAL_Q == 5 #define _IQatan2(A, B) _IQ5atan2(A, B) #endif #if GLOBAL_Q == 4 #define _IQatan2(A, B) _IQ4atan2(A, B) #endif #if GLOBAL_Q == 3 #define _IQatan2(A, B) _IQ3atan2(A, B) #endif #if GLOBAL_Q == 2 #define _IQatan2(A, B) _IQ2atan2(A, B) #endif #if GLOBAL_Q == 1 #define _IQatan2(A, B) _IQ1atan2(A, B) #endif //***************************************************************************** // // Computes the arctan of a coordinate specified by two IQ numbers, returning // the value in cycles per unit instead of radians. // //***************************************************************************** extern _iq30 _IQ30atan2PU(_iq30 A, _iq30 B); extern _iq29 _IQ29atan2PU(_iq29 A, _iq29 B); extern _iq28 _IQ28atan2PU(_iq28 A, _iq28 B); extern _iq27 _IQ27atan2PU(_iq27 A, _iq27 B); extern _iq26 _IQ26atan2PU(_iq26 A, _iq26 B); extern _iq25 _IQ25atan2PU(_iq25 A, _iq25 B); extern _iq24 _IQ24atan2PU(_iq24 A, _iq24 B); extern _iq23 _IQ23atan2PU(_iq23 A, _iq23 B); extern _iq22 _IQ22atan2PU(_iq22 A, _iq22 B); extern _iq21 _IQ21atan2PU(_iq21 A, _iq21 B); extern _iq20 _IQ20atan2PU(_iq20 A, _iq20 B); extern _iq19 _IQ19atan2PU(_iq19 A, _iq19 B); extern _iq18 _IQ18atan2PU(_iq18 A, _iq18 B); extern _iq17 _IQ17atan2PU(_iq17 A, _iq17 B); extern _iq16 _IQ16atan2PU(_iq16 A, _iq16 B); extern _iq15 _IQ15atan2PU(_iq15 A, _iq15 B); extern _iq14 _IQ14atan2PU(_iq14 A, _iq14 B); extern _iq13 _IQ13atan2PU(_iq13 A, _iq13 B); extern _iq12 _IQ12atan2PU(_iq12 A, _iq12 B); extern _iq11 _IQ11atan2PU(_iq11 A, _iq11 B); extern _iq10 _IQ10atan2PU(_iq10 A, _iq10 B); extern _iq9 _IQ9atan2PU(_iq9 A, _iq9 B); extern _iq8 _IQ8atan2PU(_iq8 A, _iq8 B); extern _iq7 _IQ7atan2PU(_iq7 A, _iq7 B); extern _iq6 _IQ6atan2PU(_iq6 A, _iq6 B); extern _iq5 _IQ5atan2PU(_iq5 A, _iq5 B); extern _iq4 _IQ4atan2PU(_iq4 A, _iq4 B); extern _iq3 _IQ3atan2PU(_iq3 A, _iq3 B); extern _iq2 _IQ2atan2PU(_iq2 A, _iq2 B); extern _iq1 _IQ1atan2PU(_iq1 A, _iq1 B); #if GLOBAL_Q == 30 #define _IQatan2PU(A, B) _IQ30atan2PU(A, B) #endif #if GLOBAL_Q == 29 #define _IQatan2PU(A, B) _IQ29atan2PU(A, B) #endif #if GLOBAL_Q == 28 #define _IQatan2PU(A, B) _IQ28atan2PU(A, B) #endif #if GLOBAL_Q == 27 #define _IQatan2PU(A, B) _IQ27atan2PU(A, B) #endif #if GLOBAL_Q == 26 #define _IQatan2PU(A, B) _IQ26atan2PU(A, B) #endif #if GLOBAL_Q == 25 #define _IQatan2PU(A, B) _IQ25atan2PU(A, B) #endif #if GLOBAL_Q == 24 #define _IQatan2PU(A, B) _IQ24atan2PU(A, B) #endif #if GLOBAL_Q == 23 #define _IQatan2PU(A, B) _IQ23atan2PU(A, B) #endif #if GLOBAL_Q == 22 #define _IQatan2PU(A, B) _IQ22atan2PU(A, B) #endif #if GLOBAL_Q == 21 #define _IQatan2PU(A, B) _IQ21atan2PU(A, B) #endif #if GLOBAL_Q == 20 #define _IQatan2PU(A, B) _IQ20atan2PU(A, B) #endif #if GLOBAL_Q == 19 #define _IQatan2PU(A, B) _IQ19atan2PU(A, B) #endif #if GLOBAL_Q == 18 #define _IQatan2PU(A, B) _IQ18atan2PU(A, B) #endif #if GLOBAL_Q == 17 #define _IQatan2PU(A, B) _IQ17atan2PU(A, B) #endif #if GLOBAL_Q == 16 #define _IQatan2PU(A, B) _IQ16atan2PU(A, B) #endif #if GLOBAL_Q == 15 #define _IQatan2PU(A, B) _IQ15atan2PU(A, B) #endif #if GLOBAL_Q == 14 #define _IQatan2PU(A, B) _IQ14atan2PU(A, B) #endif #if GLOBAL_Q == 13 #define _IQatan2PU(A, B) _IQ13atan2PU(A, B) #endif #if GLOBAL_Q == 12 #define _IQatan2PU(A, B) _IQ12atan2PU(A, B) #endif #if GLOBAL_Q == 11 #define _IQatan2PU(A, B) _IQ11atan2PU(A, B) #endif #if GLOBAL_Q == 10 #define _IQatan2PU(A, B) _IQ10atan2PU(A, B) #endif #if GLOBAL_Q == 9 #define _IQatan2PU(A, B) _IQ9atan2PU(A, B) #endif #if GLOBAL_Q == 8 #define _IQatan2PU(A, B) _IQ8atan2PU(A, B) #endif #if GLOBAL_Q == 7 #define _IQatan2PU(A, B) _IQ7atan2PU(A, B) #endif #if GLOBAL_Q == 6 #define _IQatan2PU(A, B) _IQ6atan2PU(A, B) #endif #if GLOBAL_Q == 5 #define _IQatan2PU(A, B) _IQ5atan2PU(A, B) #endif #if GLOBAL_Q == 4 #define _IQatan2PU(A, B) _IQ4atan2PU(A, B) #endif #if GLOBAL_Q == 3 #define _IQatan2PU(A, B) _IQ3atan2PU(A, B) #endif #if GLOBAL_Q == 2 #define _IQatan2PU(A, B) _IQ2atan2PU(A, B) #endif #if GLOBAL_Q == 1 #define _IQatan2PU(A, B) _IQ1atan2PU(A, B) #endif //***************************************************************************** // // Computes the arctan of an IQ number. // //***************************************************************************** #define _IQ30atan(A) _IQ30atan2(A, _IQ30(1.0)) #define _IQ29atan(A) _IQ29atan2(A, _IQ29(1.0)) #define _IQ28atan(A) _IQ28atan2(A, _IQ28(1.0)) #define _IQ27atan(A) _IQ27atan2(A, _IQ27(1.0)) #define _IQ26atan(A) _IQ26atan2(A, _IQ26(1.0)) #define _IQ25atan(A) _IQ25atan2(A, _IQ25(1.0)) #define _IQ24atan(A) _IQ24atan2(A, _IQ24(1.0)) #define _IQ23atan(A) _IQ23atan2(A, _IQ23(1.0)) #define _IQ22atan(A) _IQ22atan2(A, _IQ22(1.0)) #define _IQ21atan(A) _IQ21atan2(A, _IQ21(1.0)) #define _IQ20atan(A) _IQ20atan2(A, _IQ20(1.0)) #define _IQ19atan(A) _IQ19atan2(A, _IQ19(1.0)) #define _IQ18atan(A) _IQ18atan2(A, _IQ18(1.0)) #define _IQ17atan(A) _IQ17atan2(A, _IQ17(1.0)) #define _IQ16atan(A) _IQ16atan2(A, _IQ16(1.0)) #define _IQ15atan(A) _IQ15atan2(A, _IQ15(1.0)) #define _IQ14atan(A) _IQ14atan2(A, _IQ14(1.0)) #define _IQ13atan(A) _IQ13atan2(A, _IQ13(1.0)) #define _IQ12atan(A) _IQ12atan2(A, _IQ12(1.0)) #define _IQ11atan(A) _IQ11atan2(A, _IQ11(1.0)) #define _IQ10atan(A) _IQ10atan2(A, _IQ10(1.0)) #define _IQ9atan(A) _IQ9atan2(A, _IQ9(1.0)) #define _IQ8atan(A) _IQ8atan2(A, _IQ8(1.0)) #define _IQ7atan(A) _IQ7atan2(A, _IQ7(1.0)) #define _IQ6atan(A) _IQ6atan2(A, _IQ6(1.0)) #define _IQ5atan(A) _IQ5atan2(A, _IQ5(1.0)) #define _IQ4atan(A) _IQ4atan2(A, _IQ4(1.0)) #define _IQ3atan(A) _IQ3atan2(A, _IQ3(1.0)) #define _IQ2atan(A) _IQ2atan2(A, _IQ2(1.0)) #define _IQ1atan(A) _IQ1atan2(A, _IQ1(1.0)) #if GLOBAL_Q == 30 #define _IQatan(A) _IQ30atan2(A, _IQ30(1.0)) #endif #if GLOBAL_Q == 29 #define _IQatan(A) _IQ29atan2(A, _IQ29(1.0)) #endif #if GLOBAL_Q == 28 #define _IQatan(A) _IQ28atan2(A, _IQ28(1.0)) #endif #if GLOBAL_Q == 27 #define _IQatan(A) _IQ27atan2(A, _IQ27(1.0)) #endif #if GLOBAL_Q == 26 #define _IQatan(A) _IQ26atan2(A, _IQ26(1.0)) #endif #if GLOBAL_Q == 25 #define _IQatan(A) _IQ25atan2(A, _IQ25(1.0)) #endif #if GLOBAL_Q == 24 #define _IQatan(A) _IQ24atan2(A, _IQ24(1.0)) #endif #if GLOBAL_Q == 23 #define _IQatan(A) _IQ23atan2(A, _IQ23(1.0)) #endif #if GLOBAL_Q == 22 #define _IQatan(A) _IQ22atan2(A, _IQ22(1.0)) #endif #if GLOBAL_Q == 21 #define _IQatan(A) _IQ21atan2(A, _IQ21(1.0)) #endif #if GLOBAL_Q == 20 #define _IQatan(A) _IQ20atan2(A, _IQ20(1.0)) #endif #if GLOBAL_Q == 19 #define _IQatan(A) _IQ19atan2(A, _IQ19(1.0)) #endif #if GLOBAL_Q == 18 #define _IQatan(A) _IQ18atan2(A, _IQ18(1.0)) #endif #if GLOBAL_Q == 17 #define _IQatan(A) _IQ17atan2(A, _IQ17(1.0)) #endif #if GLOBAL_Q == 16 #define _IQatan(A) _IQ16atan2(A, _IQ16(1.0)) #endif #if GLOBAL_Q == 15 #define _IQatan(A) _IQ15atan2(A, _IQ15(1.0)) #endif #if GLOBAL_Q == 14 #define _IQatan(A) _IQ14atan2(A, _IQ14(1.0)) #endif #if GLOBAL_Q == 13 #define _IQatan(A) _IQ13atan2(A, _IQ13(1.0)) #endif #if GLOBAL_Q == 12 #define _IQatan(A) _IQ12atan2(A, _IQ12(1.0)) #endif #if GLOBAL_Q == 11 #define _IQatan(A) _IQ11atan2(A, _IQ11(1.0)) #endif #if GLOBAL_Q == 10 #define _IQatan(A) _IQ10atan2(A, _IQ10(1.0)) #endif #if GLOBAL_Q == 9 #define _IQatan(A) _IQ9atan2(A, _IQ9(1.0)) #endif #if GLOBAL_Q == 8 #define _IQatan(A) _IQ8atan2(A, _IQ8(1.0)) #endif #if GLOBAL_Q == 7 #define _IQatan(A) _IQ7atan2(A, _IQ7(1.0)) #endif #if GLOBAL_Q == 6 #define _IQatan(A) _IQ6atan2(A, _IQ6(1.0)) #endif #if GLOBAL_Q == 5 #define _IQatan(A) _IQ5atan2(A, _IQ5(1.0)) #endif #if GLOBAL_Q == 4 #define _IQatan(A) _IQ4atan2(A, _IQ4(1.0)) #endif #if GLOBAL_Q == 3 #define _IQatan(A) _IQ3atan2(A, _IQ3(1.0)) #endif #if GLOBAL_Q == 2 #define _IQatan(A) _IQ2atan2(A, _IQ2(1.0)) #endif #if GLOBAL_Q == 1 #define _IQatan(A) _IQ1atan2(A, _IQ1(1.0)) #endif //***************************************************************************** // // Computes the square root of an IQ number. // //***************************************************************************** extern _iq30 _IQ30sqrt(_iq30 A); extern _iq29 _IQ29sqrt(_iq29 A); extern _iq28 _IQ28sqrt(_iq28 A); extern _iq27 _IQ27sqrt(_iq27 A); extern _iq26 _IQ26sqrt(_iq26 A); extern _iq25 _IQ25sqrt(_iq25 A); extern _iq24 _IQ24sqrt(_iq24 A); extern _iq23 _IQ23sqrt(_iq23 A); extern _iq22 _IQ22sqrt(_iq22 A); extern _iq21 _IQ21sqrt(_iq21 A); extern _iq20 _IQ20sqrt(_iq20 A); extern _iq19 _IQ19sqrt(_iq19 A); extern _iq18 _IQ18sqrt(_iq18 A); extern _iq17 _IQ17sqrt(_iq17 A); extern _iq16 _IQ16sqrt(_iq16 A); extern _iq15 _IQ15sqrt(_iq15 A); extern _iq14 _IQ14sqrt(_iq14 A); extern _iq13 _IQ13sqrt(_iq13 A); extern _iq12 _IQ12sqrt(_iq12 A); extern _iq11 _IQ11sqrt(_iq11 A); extern _iq10 _IQ10sqrt(_iq10 A); extern _iq9 _IQ9sqrt(_iq9 A); extern _iq8 _IQ8sqrt(_iq8 A); extern _iq7 _IQ7sqrt(_iq7 A); extern _iq6 _IQ6sqrt(_iq6 A); extern _iq5 _IQ5sqrt(_iq5 A); extern _iq4 _IQ4sqrt(_iq4 A); extern _iq3 _IQ3sqrt(_iq3 A); extern _iq2 _IQ2sqrt(_iq2 A); extern _iq1 _IQ1sqrt(_iq1 A); #if GLOBAL_Q == 30 #define _IQsqrt(A) _IQ30sqrt(A) #endif #if GLOBAL_Q == 29 #define _IQsqrt(A) _IQ29sqrt(A) #endif #if GLOBAL_Q == 28 #define _IQsqrt(A) _IQ28sqrt(A) #endif #if GLOBAL_Q == 27 #define _IQsqrt(A) _IQ27sqrt(A) #endif #if GLOBAL_Q == 26 #define _IQsqrt(A) _IQ26sqrt(A) #endif #if GLOBAL_Q == 25 #define _IQsqrt(A) _IQ25sqrt(A) #endif #if GLOBAL_Q == 24 #define _IQsqrt(A) _IQ24sqrt(A) #endif #if GLOBAL_Q == 23 #define _IQsqrt(A) _IQ23sqrt(A) #endif #if GLOBAL_Q == 22 #define _IQsqrt(A) _IQ22sqrt(A) #endif #if GLOBAL_Q == 21 #define _IQsqrt(A) _IQ21sqrt(A) #endif #if GLOBAL_Q == 20 #define _IQsqrt(A) _IQ20sqrt(A) #endif #if GLOBAL_Q == 19 #define _IQsqrt(A) _IQ19sqrt(A) #endif #if GLOBAL_Q == 18 #define _IQsqrt(A) _IQ18sqrt(A) #endif #if GLOBAL_Q == 17 #define _IQsqrt(A) _IQ17sqrt(A) #endif #if GLOBAL_Q == 16 #define _IQsqrt(A) _IQ16sqrt(A) #endif #if GLOBAL_Q == 15 #define _IQsqrt(A) _IQ15sqrt(A) #endif #if GLOBAL_Q == 14 #define _IQsqrt(A) _IQ14sqrt(A) #endif #if GLOBAL_Q == 13 #define _IQsqrt(A) _IQ13sqrt(A) #endif #if GLOBAL_Q == 12 #define _IQsqrt(A) _IQ12sqrt(A) #endif #if GLOBAL_Q == 11 #define _IQsqrt(A) _IQ11sqrt(A) #endif #if GLOBAL_Q == 10 #define _IQsqrt(A) _IQ10sqrt(A) #endif #if GLOBAL_Q == 9 #define _IQsqrt(A) _IQ9sqrt(A) #endif #if GLOBAL_Q == 8 #define _IQsqrt(A) _IQ8sqrt(A) #endif #if GLOBAL_Q == 7 #define _IQsqrt(A) _IQ7sqrt(A) #endif #if GLOBAL_Q == 6 #define _IQsqrt(A) _IQ6sqrt(A) #endif #if GLOBAL_Q == 5 #define _IQsqrt(A) _IQ5sqrt(A) #endif #if GLOBAL_Q == 4 #define _IQsqrt(A) _IQ4sqrt(A) #endif #if GLOBAL_Q == 3 #define _IQsqrt(A) _IQ3sqrt(A) #endif #if GLOBAL_Q == 2 #define _IQsqrt(A) _IQ2sqrt(A) #endif #if GLOBAL_Q == 1 #define _IQsqrt(A) _IQ1sqrt(A) #endif //***************************************************************************** // // Computes 1 over the square root of an IQ number. // //***************************************************************************** extern _iq30 _IQ30isqrt(_iq30 A); extern _iq29 _IQ29isqrt(_iq29 A); extern _iq28 _IQ28isqrt(_iq28 A); extern _iq27 _IQ27isqrt(_iq27 A); extern _iq26 _IQ26isqrt(_iq26 A); extern _iq25 _IQ25isqrt(_iq25 A); extern _iq24 _IQ24isqrt(_iq24 A); extern _iq23 _IQ23isqrt(_iq23 A); extern _iq22 _IQ22isqrt(_iq22 A); extern _iq21 _IQ21isqrt(_iq21 A); extern _iq20 _IQ20isqrt(_iq20 A); extern _iq19 _IQ19isqrt(_iq19 A); extern _iq18 _IQ18isqrt(_iq18 A); extern _iq17 _IQ17isqrt(_iq17 A); extern _iq16 _IQ16isqrt(_iq16 A); extern _iq15 _IQ15isqrt(_iq15 A); extern _iq14 _IQ14isqrt(_iq14 A); extern _iq13 _IQ13isqrt(_iq13 A); extern _iq12 _IQ12isqrt(_iq12 A); extern _iq11 _IQ11isqrt(_iq11 A); extern _iq10 _IQ10isqrt(_iq10 A); extern _iq9 _IQ9isqrt(_iq9 A); extern _iq8 _IQ8isqrt(_iq8 A); extern _iq7 _IQ7isqrt(_iq7 A); extern _iq6 _IQ6isqrt(_iq6 A); extern _iq5 _IQ5isqrt(_iq5 A); extern _iq4 _IQ4isqrt(_iq4 A); extern _iq3 _IQ3isqrt(_iq3 A); extern _iq2 _IQ2isqrt(_iq2 A); extern _iq1 _IQ1isqrt(_iq1 A); #if GLOBAL_Q == 30 #define _IQisqrt(A) _IQ30isqrt(A) #endif #if GLOBAL_Q == 29 #define _IQisqrt(A) _IQ29isqrt(A) #endif #if GLOBAL_Q == 28 #define _IQisqrt(A) _IQ28isqrt(A) #endif #if GLOBAL_Q == 27 #define _IQisqrt(A) _IQ27isqrt(A) #endif #if GLOBAL_Q == 26 #define _IQisqrt(A) _IQ26isqrt(A) #endif #if GLOBAL_Q == 25 #define _IQisqrt(A) _IQ25isqrt(A) #endif #if GLOBAL_Q == 24 #define _IQisqrt(A) _IQ24isqrt(A) #endif #if GLOBAL_Q == 23 #define _IQisqrt(A) _IQ23isqrt(A) #endif #if GLOBAL_Q == 22 #define _IQisqrt(A) _IQ22isqrt(A) #endif #if GLOBAL_Q == 21 #define _IQisqrt(A) _IQ21isqrt(A) #endif #if GLOBAL_Q == 20 #define _IQisqrt(A) _IQ20isqrt(A) #endif #if GLOBAL_Q == 19 #define _IQisqrt(A) _IQ19isqrt(A) #endif #if GLOBAL_Q == 18 #define _IQisqrt(A) _IQ18isqrt(A) #endif #if GLOBAL_Q == 17 #define _IQisqrt(A) _IQ17isqrt(A) #endif #if GLOBAL_Q == 16 #define _IQisqrt(A) _IQ16isqrt(A) #endif #if GLOBAL_Q == 15 #define _IQisqrt(A) _IQ15isqrt(A) #endif #if GLOBAL_Q == 14 #define _IQisqrt(A) _IQ14isqrt(A) #endif #if GLOBAL_Q == 13 #define _IQisqrt(A) _IQ13isqrt(A) #endif #if GLOBAL_Q == 12 #define _IQisqrt(A) _IQ12isqrt(A) #endif #if GLOBAL_Q == 11 #define _IQisqrt(A) _IQ11isqrt(A) #endif #if GLOBAL_Q == 10 #define _IQisqrt(A) _IQ10isqrt(A) #endif #if GLOBAL_Q == 9 #define _IQisqrt(A) _IQ9isqrt(A) #endif #if GLOBAL_Q == 8 #define _IQisqrt(A) _IQ8isqrt(A) #endif #if GLOBAL_Q == 7 #define _IQisqrt(A) _IQ7isqrt(A) #endif #if GLOBAL_Q == 6 #define _IQisqrt(A) _IQ6isqrt(A) #endif #if GLOBAL_Q == 5 #define _IQisqrt(A) _IQ5isqrt(A) #endif #if GLOBAL_Q == 4 #define _IQisqrt(A) _IQ4isqrt(A) #endif #if GLOBAL_Q == 3 #define _IQisqrt(A) _IQ3isqrt(A) #endif #if GLOBAL_Q == 2 #define _IQisqrt(A) _IQ2isqrt(A) #endif #if GLOBAL_Q == 1 #define _IQisqrt(A) _IQ1isqrt(A) #endif //***************************************************************************** // // Computes e^x of an IQ number. // //***************************************************************************** extern _iq30 _IQ30exp(_iq30 A); extern _iq29 _IQ29exp(_iq29 A); extern _iq28 _IQ28exp(_iq28 A); extern _iq27 _IQ27exp(_iq27 A); extern _iq26 _IQ26exp(_iq26 A); extern _iq25 _IQ25exp(_iq25 A); extern _iq24 _IQ24exp(_iq24 A); extern _iq23 _IQ23exp(_iq23 A); extern _iq22 _IQ22exp(_iq22 A); extern _iq21 _IQ21exp(_iq21 A); extern _iq20 _IQ20exp(_iq20 A); extern _iq19 _IQ19exp(_iq19 A); extern _iq18 _IQ18exp(_iq18 A); extern _iq17 _IQ17exp(_iq17 A); extern _iq16 _IQ16exp(_iq16 A); extern _iq15 _IQ15exp(_iq15 A); extern _iq14 _IQ14exp(_iq14 A); extern _iq13 _IQ13exp(_iq13 A); extern _iq12 _IQ12exp(_iq12 A); extern _iq11 _IQ11exp(_iq11 A); extern _iq10 _IQ10exp(_iq10 A); extern _iq9 _IQ9exp(_iq9 A); extern _iq8 _IQ8exp(_iq8 A); extern _iq7 _IQ7exp(_iq7 A); extern _iq6 _IQ6exp(_iq6 A); extern _iq5 _IQ5exp(_iq5 A); extern _iq4 _IQ4exp(_iq4 A); extern _iq3 _IQ3exp(_iq3 A); extern _iq2 _IQ2exp(_iq2 A); extern _iq1 _IQ1exp(_iq1 A); #if GLOBAL_Q == 30 #define _IQexp(A) _IQ30exp(A) #endif #if GLOBAL_Q == 29 #define _IQexp(A) _IQ29exp(A) #endif #if GLOBAL_Q == 28 #define _IQexp(A) _IQ28exp(A) #endif #if GLOBAL_Q == 27 #define _IQexp(A) _IQ27exp(A) #endif #if GLOBAL_Q == 26 #define _IQexp(A) _IQ26exp(A) #endif #if GLOBAL_Q == 25 #define _IQexp(A) _IQ25exp(A) #endif #if GLOBAL_Q == 24 #define _IQexp(A) _IQ24exp(A) #endif #if GLOBAL_Q == 23 #define _IQexp(A) _IQ23exp(A) #endif #if GLOBAL_Q == 22 #define _IQexp(A) _IQ22exp(A) #endif #if GLOBAL_Q == 21 #define _IQexp(A) _IQ21exp(A) #endif #if GLOBAL_Q == 20 #define _IQexp(A) _IQ20exp(A) #endif #if GLOBAL_Q == 19 #define _IQexp(A) _IQ19exp(A) #endif #if GLOBAL_Q == 18 #define _IQexp(A) _IQ18exp(A) #endif #if GLOBAL_Q == 17 #define _IQexp(A) _IQ17exp(A) #endif #if GLOBAL_Q == 16 #define _IQexp(A) _IQ16exp(A) #endif #if GLOBAL_Q == 15 #define _IQexp(A) _IQ15exp(A) #endif #if GLOBAL_Q == 14 #define _IQexp(A) _IQ14exp(A) #endif #if GLOBAL_Q == 13 #define _IQexp(A) _IQ13exp(A) #endif #if GLOBAL_Q == 12 #define _IQexp(A) _IQ12exp(A) #endif #if GLOBAL_Q == 11 #define _IQexp(A) _IQ11exp(A) #endif #if GLOBAL_Q == 10 #define _IQexp(A) _IQ10exp(A) #endif #if GLOBAL_Q == 9 #define _IQexp(A) _IQ9exp(A) #endif #if GLOBAL_Q == 8 #define _IQexp(A) _IQ8exp(A) #endif #if GLOBAL_Q == 7 #define _IQexp(A) _IQ7exp(A) #endif #if GLOBAL_Q == 6 #define _IQexp(A) _IQ6exp(A) #endif #if GLOBAL_Q == 5 #define _IQexp(A) _IQ5exp(A) #endif #if GLOBAL_Q == 4 #define _IQexp(A) _IQ4exp(A) #endif #if GLOBAL_Q == 3 #define _IQexp(A) _IQ3exp(A) #endif #if GLOBAL_Q == 2 #define _IQexp(A) _IQ2exp(A) #endif #if GLOBAL_Q == 1 #define _IQexp(A) _IQ1exp(A) #endif //***************************************************************************** // // Computes 2^x of an IQ number. // //***************************************************************************** extern _iq30 _IQ30exp2(_iq30 A); extern _iq29 _IQ29exp2(_iq29 A); extern _iq28 _IQ28exp2(_iq28 A); extern _iq27 _IQ27exp2(_iq27 A); extern _iq26 _IQ26exp2(_iq26 A); extern _iq25 _IQ25exp2(_iq25 A); extern _iq24 _IQ24exp2(_iq24 A); extern _iq23 _IQ23exp2(_iq23 A); extern _iq22 _IQ22exp2(_iq22 A); extern _iq21 _IQ21exp2(_iq21 A); extern _iq20 _IQ20exp2(_iq20 A); extern _iq19 _IQ19exp2(_iq19 A); extern _iq18 _IQ18exp2(_iq18 A); extern _iq17 _IQ17exp2(_iq17 A); extern _iq16 _IQ16exp2(_iq16 A); extern _iq15 _IQ15exp2(_iq15 A); extern _iq14 _IQ14exp2(_iq14 A); extern _iq13 _IQ13exp2(_iq13 A); extern _iq12 _IQ12exp2(_iq12 A); extern _iq11 _IQ11exp2(_iq11 A); extern _iq10 _IQ10exp2(_iq10 A); extern _iq9 _IQ9exp2(_iq9 A); extern _iq8 _IQ8exp2(_iq8 A); extern _iq7 _IQ7exp2(_iq7 A); extern _iq6 _IQ6exp2(_iq6 A); extern _iq5 _IQ5exp2(_iq5 A); extern _iq4 _IQ4exp2(_iq4 A); extern _iq3 _IQ3exp2(_iq3 A); extern _iq2 _IQ2exp2(_iq2 A); extern _iq1 _IQ1exp2(_iq1 A); #if GLOBAL_Q == 30 #define _IQexp2(A) _IQ30exp2(A) #endif #if GLOBAL_Q == 29 #define _IQexp2(A) _IQ29exp2(A) #endif #if GLOBAL_Q == 28 #define _IQexp2(A) _IQ28exp2(A) #endif #if GLOBAL_Q == 27 #define _IQexp2(A) _IQ27exp2(A) #endif #if GLOBAL_Q == 26 #define _IQexp2(A) _IQ26exp2(A) #endif #if GLOBAL_Q == 25 #define _IQexp2(A) _IQ25exp2(A) #endif #if GLOBAL_Q == 24 #define _IQexp2(A) _IQ24exp2(A) #endif #if GLOBAL_Q == 23 #define _IQexp2(A) _IQ23exp2(A) #endif #if GLOBAL_Q == 22 #define _IQexp2(A) _IQ22exp2(A) #endif #if GLOBAL_Q == 21 #define _IQexp2(A) _IQ21exp2(A) #endif #if GLOBAL_Q == 20 #define _IQexp2(A) _IQ20exp2(A) #endif #if GLOBAL_Q == 19 #define _IQexp2(A) _IQ19exp2(A) #endif #if GLOBAL_Q == 18 #define _IQexp2(A) _IQ18exp2(A) #endif #if GLOBAL_Q == 17 #define _IQexp2(A) _IQ17exp2(A) #endif #if GLOBAL_Q == 16 #define _IQexp2(A) _IQ16exp2(A) #endif #if GLOBAL_Q == 15 #define _IQexp2(A) _IQ15exp2(A) #endif #if GLOBAL_Q == 14 #define _IQexp2(A) _IQ14exp2(A) #endif #if GLOBAL_Q == 13 #define _IQexp2(A) _IQ13exp2(A) #endif #if GLOBAL_Q == 12 #define _IQexp2(A) _IQ12exp2(A) #endif #if GLOBAL_Q == 11 #define _IQexp2(A) _IQ11exp2(A) #endif #if GLOBAL_Q == 10 #define _IQexp2(A) _IQ10exp2(A) #endif #if GLOBAL_Q == 9 #define _IQexp2(A) _IQ9exp2(A) #endif #if GLOBAL_Q == 8 #define _IQexp2(A) _IQ8exp2(A) #endif #if GLOBAL_Q == 7 #define _IQexp2(A) _IQ7exp2(A) #endif #if GLOBAL_Q == 6 #define _IQexp2(A) _IQ6exp2(A) #endif #if GLOBAL_Q == 5 #define _IQexp2(A) _IQ5exp2(A) #endif #if GLOBAL_Q == 4 #define _IQexp2(A) _IQ4exp2(A) #endif #if GLOBAL_Q == 3 #define _IQexp2(A) _IQ3exp2(A) #endif #if GLOBAL_Q == 2 #define _IQexp2(A) _IQ2exp2(A) #endif #if GLOBAL_Q == 1 #define _IQexp2(A) _IQ1exp2(A) #endif //***************************************************************************** // // Returns the integer portion of an IQ number. // //***************************************************************************** #define _IQ30int(A) ((A) >> 30) #define _IQ29int(A) ((A) >> 29) #define _IQ28int(A) ((A) >> 28) #define _IQ27int(A) ((A) >> 27) #define _IQ26int(A) ((A) >> 26) #define _IQ25int(A) ((A) >> 25) #define _IQ24int(A) ((A) >> 24) #define _IQ23int(A) ((A) >> 23) #define _IQ22int(A) ((A) >> 22) #define _IQ21int(A) ((A) >> 21) #define _IQ20int(A) ((A) >> 20) #define _IQ19int(A) ((A) >> 19) #define _IQ18int(A) ((A) >> 18) #define _IQ17int(A) ((A) >> 17) #define _IQ16int(A) ((A) >> 16) #define _IQ15int(A) ((A) >> 15) #define _IQ14int(A) ((A) >> 14) #define _IQ13int(A) ((A) >> 13) #define _IQ12int(A) ((A) >> 12) #define _IQ11int(A) ((A) >> 11) #define _IQ10int(A) ((A) >> 10) #define _IQ9int(A) ((A) >> 9) #define _IQ8int(A) ((A) >> 8) #define _IQ7int(A) ((A) >> 7) #define _IQ6int(A) ((A) >> 6) #define _IQ5int(A) ((A) >> 5) #define _IQ4int(A) ((A) >> 4) #define _IQ3int(A) ((A) >> 3) #define _IQ2int(A) ((A) >> 2) #define _IQ1int(A) ((A) >> 1) #define _IQint(A) ((A) >> GLOBAL_Q) //***************************************************************************** // // Computes the fractional portion of an IQ number. // //***************************************************************************** extern _iq30 _IQ30frac(_iq30 A); extern _iq29 _IQ29frac(_iq29 A); extern _iq28 _IQ28frac(_iq28 A); extern _iq27 _IQ27frac(_iq27 A); extern _iq26 _IQ26frac(_iq26 A); extern _iq25 _IQ25frac(_iq25 A); extern _iq24 _IQ24frac(_iq24 A); extern _iq23 _IQ23frac(_iq23 A); extern _iq22 _IQ22frac(_iq22 A); extern _iq21 _IQ21frac(_iq21 A); extern _iq20 _IQ20frac(_iq20 A); extern _iq19 _IQ19frac(_iq19 A); extern _iq18 _IQ18frac(_iq18 A); extern _iq17 _IQ17frac(_iq17 A); extern _iq16 _IQ16frac(_iq16 A); extern _iq15 _IQ15frac(_iq15 A); extern _iq14 _IQ14frac(_iq14 A); extern _iq13 _IQ13frac(_iq13 A); extern _iq12 _IQ12frac(_iq12 A); extern _iq11 _IQ11frac(_iq11 A); extern _iq10 _IQ10frac(_iq10 A); extern _iq9 _IQ9frac(_iq9 A); extern _iq8 _IQ8frac(_iq8 A); extern _iq7 _IQ7frac(_iq7 A); extern _iq6 _IQ6frac(_iq6 A); extern _iq5 _IQ5frac(_iq5 A); extern _iq4 _IQ4frac(_iq4 A); extern _iq3 _IQ3frac(_iq3 A); extern _iq2 _IQ2frac(_iq2 A); extern _iq1 _IQ1frac(_iq1 A); #if GLOBAL_Q == 30 #define _IQfrac(A) _IQ30frac(A) #endif #if GLOBAL_Q == 29 #define _IQfrac(A) _IQ29frac(A) #endif #if GLOBAL_Q == 28 #define _IQfrac(A) _IQ28frac(A) #endif #if GLOBAL_Q == 27 #define _IQfrac(A) _IQ27frac(A) #endif #if GLOBAL_Q == 26 #define _IQfrac(A) _IQ26frac(A) #endif #if GLOBAL_Q == 25 #define _IQfrac(A) _IQ25frac(A) #endif #if GLOBAL_Q == 24 #define _IQfrac(A) _IQ24frac(A) #endif #if GLOBAL_Q == 23 #define _IQfrac(A) _IQ23frac(A) #endif #if GLOBAL_Q == 22 #define _IQfrac(A) _IQ22frac(A) #endif #if GLOBAL_Q == 21 #define _IQfrac(A) _IQ21frac(A) #endif #if GLOBAL_Q == 20 #define _IQfrac(A) _IQ20frac(A) #endif #if GLOBAL_Q == 19 #define _IQfrac(A) _IQ19frac(A) #endif #if GLOBAL_Q == 18 #define _IQfrac(A) _IQ18frac(A) #endif #if GLOBAL_Q == 17 #define _IQfrac(A) _IQ17frac(A) #endif #if GLOBAL_Q == 16 #define _IQfrac(A) _IQ16frac(A) #endif #if GLOBAL_Q == 15 #define _IQfrac(A) _IQ15frac(A) #endif #if GLOBAL_Q == 14 #define _IQfrac(A) _IQ14frac(A) #endif #if GLOBAL_Q == 13 #define _IQfrac(A) _IQ13frac(A) #endif #if GLOBAL_Q == 12 #define _IQfrac(A) _IQ12frac(A) #endif #if GLOBAL_Q == 11 #define _IQfrac(A) _IQ11frac(A) #endif #if GLOBAL_Q == 10 #define _IQfrac(A) _IQ10frac(A) #endif #if GLOBAL_Q == 9 #define _IQfrac(A) _IQ9frac(A) #endif #if GLOBAL_Q == 8 #define _IQfrac(A) _IQ8frac(A) #endif #if GLOBAL_Q == 7 #define _IQfrac(A) _IQ7frac(A) #endif #if GLOBAL_Q == 6 #define _IQfrac(A) _IQ6frac(A) #endif #if GLOBAL_Q == 5 #define _IQfrac(A) _IQ5frac(A) #endif #if GLOBAL_Q == 4 #define _IQfrac(A) _IQ4frac(A) #endif #if GLOBAL_Q == 3 #define _IQfrac(A) _IQ3frac(A) #endif #if GLOBAL_Q == 2 #define _IQfrac(A) _IQ2frac(A) #endif #if GLOBAL_Q == 1 #define _IQfrac(A) _IQ1frac(A) #endif //***************************************************************************** // // Multiplies two IQ numbers in the specified iQ formats, returning the result // in another IQ format. // //***************************************************************************** extern long __IQxmpy(long A, long B, long S); #define _IQ30mpyIQX(A, IQA, B, IQB) __IQxmpy(A, B, 30 + 32 - (IQA) - (IQB)) #define _IQ29mpyIQX(A, IQA, B, IQB) __IQxmpy(A, B, 29 + 32 - (IQA) - (IQB)) #define _IQ28mpyIQX(A, IQA, B, IQB) __IQxmpy(A, B, 28 + 32 - (IQA) - (IQB)) #define _IQ27mpyIQX(A, IQA, B, IQB) __IQxmpy(A, B, 27 + 32 - (IQA) - (IQB)) #define _IQ26mpyIQX(A, IQA, B, IQB) __IQxmpy(A, B, 26 + 32 - (IQA) - (IQB)) #define _IQ25mpyIQX(A, IQA, B, IQB) __IQxmpy(A, B, 25 + 32 - (IQA) - (IQB)) #define _IQ24mpyIQX(A, IQA, B, IQB) __IQxmpy(A, B, 24 + 32 - (IQA) - (IQB)) #define _IQ23mpyIQX(A, IQA, B, IQB) __IQxmpy(A, B, 23 + 32 - (IQA) - (IQB)) #define _IQ22mpyIQX(A, IQA, B, IQB) __IQxmpy(A, B, 22 + 32 - (IQA) - (IQB)) #define _IQ21mpyIQX(A, IQA, B, IQB) __IQxmpy(A, B, 21 + 32 - (IQA) - (IQB)) #define _IQ20mpyIQX(A, IQA, B, IQB) __IQxmpy(A, B, 20 + 32 - (IQA) - (IQB)) #define _IQ19mpyIQX(A, IQA, B, IQB) __IQxmpy(A, B, 19 + 32 - (IQA) - (IQB)) #define _IQ18mpyIQX(A, IQA, B, IQB) __IQxmpy(A, B, 18 + 32 - (IQA) - (IQB)) #define _IQ17mpyIQX(A, IQA, B, IQB) __IQxmpy(A, B, 17 + 32 - (IQA) - (IQB)) #define _IQ16mpyIQX(A, IQA, B, IQB) __IQxmpy(A, B, 16 + 32 - (IQA) - (IQB)) #define _IQ15mpyIQX(A, IQA, B, IQB) __IQxmpy(A, B, 15 + 32 - (IQA) - (IQB)) #define _IQ14mpyIQX(A, IQA, B, IQB) __IQxmpy(A, B, 14 + 32 - (IQA) - (IQB)) #define _IQ13mpyIQX(A, IQA, B, IQB) __IQxmpy(A, B, 13 + 32 - (IQA) - (IQB)) #define _IQ12mpyIQX(A, IQA, B, IQB) __IQxmpy(A, B, 12 + 32 - (IQA) - (IQB)) #define _IQ11mpyIQX(A, IQA, B, IQB) __IQxmpy(A, B, 11 + 32 - (IQA) - (IQB)) #define _IQ10mpyIQX(A, IQA, B, IQB) __IQxmpy(A, B, 10 + 32 - (IQA) - (IQB)) #define _IQ9mpyIQX(A, IQA, B, IQB) __IQxmpy(A, B, 9 + 32 - (IQA) - (IQB)) #define _IQ8mpyIQX(A, IQA, B, IQB) __IQxmpy(A, B, 8 + 32 - (IQA) - (IQB)) #define _IQ7mpyIQX(A, IQA, B, IQB) __IQxmpy(A, B, 7 + 32 - (IQA) - (IQB)) #define _IQ6mpyIQX(A, IQA, B, IQB) __IQxmpy(A, B, 6 + 32 - (IQA) - (IQB)) #define _IQ5mpyIQX(A, IQA, B, IQB) __IQxmpy(A, B, 5 + 32 - (IQA) - (IQB)) #define _IQ4mpyIQX(A, IQA, B, IQB) __IQxmpy(A, B, 4 + 32 - (IQA) - (IQB)) #define _IQ3mpyIQX(A, IQA, B, IQB) __IQxmpy(A, B, 3 + 32 - (IQA) - (IQB)) #define _IQ2mpyIQX(A, IQA, B, IQB) __IQxmpy(A, B, 2 + 32 - (IQA) - (IQB)) #define _IQ1mpyIQX(A, IQA, B, IQB) __IQxmpy(A, B, 1 + 32 - (IQA) - (IQB)) #define _IQmpyIQX(A, IQA, B, IQB) __IQxmpy(A, B, \ (GLOBAL_Q) + 32 - (IQA) - (IQB)) //***************************************************************************** // // Multiplies an IQ number by an integer. // //***************************************************************************** #define _IQ30mpyI32(A, B) ((A) * (B)) #define _IQ29mpyI32(A, B) ((A) * (B)) #define _IQ28mpyI32(A, B) ((A) * (B)) #define _IQ27mpyI32(A, B) ((A) * (B)) #define _IQ26mpyI32(A, B) ((A) * (B)) #define _IQ25mpyI32(A, B) ((A) * (B)) #define _IQ24mpyI32(A, B) ((A) * (B)) #define _IQ23mpyI32(A, B) ((A) * (B)) #define _IQ22mpyI32(A, B) ((A) * (B)) #define _IQ21mpyI32(A, B) ((A) * (B)) #define _IQ20mpyI32(A, B) ((A) * (B)) #define _IQ19mpyI32(A, B) ((A) * (B)) #define _IQ18mpyI32(A, B) ((A) * (B)) #define _IQ17mpyI32(A, B) ((A) * (B)) #define _IQ16mpyI32(A, B) ((A) * (B)) #define _IQ15mpyI32(A, B) ((A) * (B)) #define _IQ14mpyI32(A, B) ((A) * (B)) #define _IQ13mpyI32(A, B) ((A) * (B)) #define _IQ12mpyI32(A, B) ((A) * (B)) #define _IQ11mpyI32(A, B) ((A) * (B)) #define _IQ10mpyI32(A, B) ((A) * (B)) #define _IQ9mpyI32(A, B) ((A) * (B)) #define _IQ8mpyI32(A, B) ((A) * (B)) #define _IQ7mpyI32(A, B) ((A) * (B)) #define _IQ6mpyI32(A, B) ((A) * (B)) #define _IQ5mpyI32(A, B) ((A) * (B)) #define _IQ4mpyI32(A, B) ((A) * (B)) #define _IQ3mpyI32(A, B) ((A) * (B)) #define _IQ2mpyI32(A, B) ((A) * (B)) #define _IQ1mpyI32(A, B) ((A) * (B)) #define _IQmpyI32(A, B) ((A) * (B)) //***************************************************************************** // // Multiplies an IQ number by an integer, and returns the integer portion. // //***************************************************************************** extern _iq30 _IQ30mpyI32int(_iq30 A, long B); extern _iq29 _IQ29mpyI32int(_iq29 A, long B); extern _iq28 _IQ28mpyI32int(_iq28 A, long B); extern _iq27 _IQ27mpyI32int(_iq27 A, long B); extern _iq26 _IQ26mpyI32int(_iq26 A, long B); extern _iq25 _IQ25mpyI32int(_iq25 A, long B); extern _iq24 _IQ24mpyI32int(_iq24 A, long B); extern _iq23 _IQ23mpyI32int(_iq23 A, long B); extern _iq22 _IQ22mpyI32int(_iq22 A, long B); extern _iq21 _IQ21mpyI32int(_iq21 A, long B); extern _iq20 _IQ20mpyI32int(_iq20 A, long B); extern _iq19 _IQ19mpyI32int(_iq19 A, long B); extern _iq18 _IQ18mpyI32int(_iq18 A, long B); extern _iq17 _IQ17mpyI32int(_iq17 A, long B); extern _iq16 _IQ16mpyI32int(_iq16 A, long B); extern _iq15 _IQ15mpyI32int(_iq15 A, long B); extern _iq14 _IQ14mpyI32int(_iq14 A, long B); extern _iq13 _IQ13mpyI32int(_iq13 A, long B); extern _iq12 _IQ12mpyI32int(_iq12 A, long B); extern _iq11 _IQ11mpyI32int(_iq11 A, long B); extern _iq10 _IQ10mpyI32int(_iq10 A, long B); extern _iq9 _IQ9mpyI32int(_iq9 A, long B); extern _iq8 _IQ8mpyI32int(_iq8 A, long B); extern _iq7 _IQ7mpyI32int(_iq7 A, long B); extern _iq6 _IQ6mpyI32int(_iq6 A, long B); extern _iq5 _IQ5mpyI32int(_iq5 A, long B); extern _iq4 _IQ4mpyI32int(_iq4 A, long B); extern _iq3 _IQ3mpyI32int(_iq3 A, long B); extern _iq2 _IQ2mpyI32int(_iq2 A, long B); extern _iq1 _IQ1mpyI32int(_iq1 A, long B); #if GLOBAL_Q == 30 #define _IQmpyI32int(A, B) _IQ30mpyI32int(A, B) #endif #if GLOBAL_Q == 29 #define _IQmpyI32int(A, B) _IQ29mpyI32int(A, B) #endif #if GLOBAL_Q == 28 #define _IQmpyI32int(A, B) _IQ28mpyI32int(A, B) #endif #if GLOBAL_Q == 27 #define _IQmpyI32int(A, B) _IQ27mpyI32int(A, B) #endif #if GLOBAL_Q == 26 #define _IQmpyI32int(A, B) _IQ26mpyI32int(A, B) #endif #if GLOBAL_Q == 25 #define _IQmpyI32int(A, B) _IQ25mpyI32int(A, B) #endif #if GLOBAL_Q == 24 #define _IQmpyI32int(A, B) _IQ24mpyI32int(A, B) #endif #if GLOBAL_Q == 23 #define _IQmpyI32int(A, B) _IQ23mpyI32int(A, B) #endif #if GLOBAL_Q == 22 #define _IQmpyI32int(A, B) _IQ22mpyI32int(A, B) #endif #if GLOBAL_Q == 21 #define _IQmpyI32int(A, B) _IQ21mpyI32int(A, B) #endif #if GLOBAL_Q == 20 #define _IQmpyI32int(A, B) _IQ20mpyI32int(A, B) #endif #if GLOBAL_Q == 19 #define _IQmpyI32int(A, B) _IQ19mpyI32int(A, B) #endif #if GLOBAL_Q == 18 #define _IQmpyI32int(A, B) _IQ18mpyI32int(A, B) #endif #if GLOBAL_Q == 17 #define _IQmpyI32int(A, B) _IQ17mpyI32int(A, B) #endif #if GLOBAL_Q == 16 #define _IQmpyI32int(A, B) _IQ16mpyI32int(A, B) #endif #if GLOBAL_Q == 15 #define _IQmpyI32int(A, B) _IQ15mpyI32int(A, B) #endif #if GLOBAL_Q == 14 #define _IQmpyI32int(A, B) _IQ14mpyI32int(A, B) #endif #if GLOBAL_Q == 13 #define _IQmpyI32int(A, B) _IQ13mpyI32int(A, B) #endif #if GLOBAL_Q == 12 #define _IQmpyI32int(A, B) _IQ12mpyI32int(A, B) #endif #if GLOBAL_Q == 11 #define _IQmpyI32int(A, B) _IQ11mpyI32int(A, B) #endif #if GLOBAL_Q == 10 #define _IQmpyI32int(A, B) _IQ10mpyI32int(A, B) #endif #if GLOBAL_Q == 9 #define _IQmpyI32int(A, B) _IQ9mpyI32int(A, B) #endif #if GLOBAL_Q == 8 #define _IQmpyI32int(A, B) _IQ8mpyI32int(A, B) #endif #if GLOBAL_Q == 7 #define _IQmpyI32int(A, B) _IQ7mpyI32int(A, B) #endif #if GLOBAL_Q == 6 #define _IQmpyI32int(A, B) _IQ6mpyI32int(A, B) #endif #if GLOBAL_Q == 5 #define _IQmpyI32int(A, B) _IQ5mpyI32int(A, B) #endif #if GLOBAL_Q == 4 #define _IQmpyI32int(A, B) _IQ4mpyI32int(A, B) #endif #if GLOBAL_Q == 3 #define _IQmpyI32int(A, B) _IQ3mpyI32int(A, B) #endif #if GLOBAL_Q == 2 #define _IQmpyI32int(A, B) _IQ2mpyI32int(A, B) #endif #if GLOBAL_Q == 1 #define _IQmpyI32int(A, B) _IQ1mpyI32int(A, B) #endif //***************************************************************************** // // Multiplies an IQ number by an integer, and returns the fractional portion. // //***************************************************************************** extern _iq30 _IQ30mpyI32frac(_iq30 A, long B); extern _iq29 _IQ29mpyI32frac(_iq29 A, long B); extern _iq28 _IQ28mpyI32frac(_iq28 A, long B); extern _iq27 _IQ27mpyI32frac(_iq27 A, long B); extern _iq26 _IQ26mpyI32frac(_iq26 A, long B); extern _iq25 _IQ25mpyI32frac(_iq25 A, long B); extern _iq24 _IQ24mpyI32frac(_iq24 A, long B); extern _iq23 _IQ23mpyI32frac(_iq23 A, long B); extern _iq22 _IQ22mpyI32frac(_iq22 A, long B); extern _iq21 _IQ21mpyI32frac(_iq21 A, long B); extern _iq20 _IQ20mpyI32frac(_iq20 A, long B); extern _iq19 _IQ19mpyI32frac(_iq19 A, long B); extern _iq18 _IQ18mpyI32frac(_iq18 A, long B); extern _iq17 _IQ17mpyI32frac(_iq17 A, long B); extern _iq16 _IQ16mpyI32frac(_iq16 A, long B); extern _iq15 _IQ15mpyI32frac(_iq15 A, long B); extern _iq14 _IQ14mpyI32frac(_iq14 A, long B); extern _iq13 _IQ13mpyI32frac(_iq13 A, long B); extern _iq12 _IQ12mpyI32frac(_iq12 A, long B); extern _iq11 _IQ11mpyI32frac(_iq11 A, long B); extern _iq10 _IQ10mpyI32frac(_iq10 A, long B); extern _iq9 _IQ9mpyI32frac(_iq9 A, long B); extern _iq8 _IQ8mpyI32frac(_iq8 A, long B); extern _iq7 _IQ7mpyI32frac(_iq7 A, long B); extern _iq6 _IQ6mpyI32frac(_iq6 A, long B); extern _iq5 _IQ5mpyI32frac(_iq5 A, long B); extern _iq4 _IQ4mpyI32frac(_iq4 A, long B); extern _iq3 _IQ3mpyI32frac(_iq3 A, long B); extern _iq2 _IQ2mpyI32frac(_iq2 A, long B); extern _iq1 _IQ1mpyI32frac(_iq1 A, long B); #if GLOBAL_Q == 30 #define _IQmpyI32frac(A, B) _IQ30mpyI32frac(A, B) #endif #if GLOBAL_Q == 29 #define _IQmpyI32frac(A, B) _IQ29mpyI32frac(A, B) #endif #if GLOBAL_Q == 28 #define _IQmpyI32frac(A, B) _IQ28mpyI32frac(A, B) #endif #if GLOBAL_Q == 27 #define _IQmpyI32frac(A, B) _IQ27mpyI32frac(A, B) #endif #if GLOBAL_Q == 26 #define _IQmpyI32frac(A, B) _IQ26mpyI32frac(A, B) #endif #if GLOBAL_Q == 25 #define _IQmpyI32frac(A, B) _IQ25mpyI32frac(A, B) #endif #if GLOBAL_Q == 24 #define _IQmpyI32frac(A, B) _IQ24mpyI32frac(A, B) #endif #if GLOBAL_Q == 23 #define _IQmpyI32frac(A, B) _IQ23mpyI32frac(A, B) #endif #if GLOBAL_Q == 22 #define _IQmpyI32frac(A, B) _IQ22mpyI32frac(A, B) #endif #if GLOBAL_Q == 21 #define _IQmpyI32frac(A, B) _IQ21mpyI32frac(A, B) #endif #if GLOBAL_Q == 20 #define _IQmpyI32frac(A, B) _IQ20mpyI32frac(A, B) #endif #if GLOBAL_Q == 19 #define _IQmpyI32frac(A, B) _IQ19mpyI32frac(A, B) #endif #if GLOBAL_Q == 18 #define _IQmpyI32frac(A, B) _IQ18mpyI32frac(A, B) #endif #if GLOBAL_Q == 17 #define _IQmpyI32frac(A, B) _IQ17mpyI32frac(A, B) #endif #if GLOBAL_Q == 16 #define _IQmpyI32frac(A, B) _IQ16mpyI32frac(A, B) #endif #if GLOBAL_Q == 15 #define _IQmpyI32frac(A, B) _IQ15mpyI32frac(A, B) #endif #if GLOBAL_Q == 14 #define _IQmpyI32frac(A, B) _IQ14mpyI32frac(A, B) #endif #if GLOBAL_Q == 13 #define _IQmpyI32frac(A, B) _IQ13mpyI32frac(A, B) #endif #if GLOBAL_Q == 12 #define _IQmpyI32frac(A, B) _IQ12mpyI32frac(A, B) #endif #if GLOBAL_Q == 11 #define _IQmpyI32frac(A, B) _IQ11mpyI32frac(A, B) #endif #if GLOBAL_Q == 10 #define _IQmpyI32frac(A, B) _IQ10mpyI32frac(A, B) #endif #if GLOBAL_Q == 9 #define _IQmpyI32frac(A, B) _IQ9mpyI32frac(A, B) #endif #if GLOBAL_Q == 8 #define _IQmpyI32frac(A, B) _IQ8mpyI32frac(A, B) #endif #if GLOBAL_Q == 7 #define _IQmpyI32frac(A, B) _IQ7mpyI32frac(A, B) #endif #if GLOBAL_Q == 6 #define _IQmpyI32frac(A, B) _IQ6mpyI32frac(A, B) #endif #if GLOBAL_Q == 5 #define _IQmpyI32frac(A, B) _IQ5mpyI32frac(A, B) #endif #if GLOBAL_Q == 4 #define _IQmpyI32frac(A, B) _IQ4mpyI32frac(A, B) #endif #if GLOBAL_Q == 3 #define _IQmpyI32frac(A, B) _IQ3mpyI32frac(A, B) #endif #if GLOBAL_Q == 2 #define _IQmpyI32frac(A, B) _IQ2mpyI32frac(A, B) #endif #if GLOBAL_Q == 1 #define _IQmpyI32frac(A, B) _IQ1mpyI32frac(A, B) #endif //***************************************************************************** // // Computes the square root of A^2 + B^2 using IQ numbers. // //***************************************************************************** extern _iq30 _IQ30mag(_iq30 A, _iq30 B); extern _iq29 _IQ29mag(_iq29 A, _iq29 B); extern _iq28 _IQ28mag(_iq28 A, _iq28 B); extern _iq27 _IQ27mag(_iq27 A, _iq27 B); extern _iq26 _IQ26mag(_iq26 A, _iq26 B); extern _iq25 _IQ25mag(_iq25 A, _iq25 B); extern _iq24 _IQ24mag(_iq24 A, _iq24 B); extern _iq23 _IQ23mag(_iq23 A, _iq23 B); extern _iq22 _IQ22mag(_iq22 A, _iq22 B); extern _iq21 _IQ21mag(_iq21 A, _iq21 B); extern _iq20 _IQ20mag(_iq20 A, _iq20 B); extern _iq19 _IQ19mag(_iq19 A, _iq19 B); extern _iq18 _IQ18mag(_iq18 A, _iq18 B); extern _iq17 _IQ17mag(_iq17 A, _iq17 B); extern _iq16 _IQ16mag(_iq16 A, _iq16 B); extern _iq15 _IQ15mag(_iq15 A, _iq15 B); extern _iq14 _IQ14mag(_iq14 A, _iq14 B); extern _iq13 _IQ13mag(_iq13 A, _iq13 B); extern _iq12 _IQ12mag(_iq12 A, _iq12 B); extern _iq11 _IQ11mag(_iq11 A, _iq11 B); extern _iq10 _IQ10mag(_iq10 A, _iq10 B); extern _iq9 _IQ9mag(_iq9 A, _iq9 B); extern _iq8 _IQ8mag(_iq8 A, _iq8 B); extern _iq7 _IQ7mag(_iq7 A, _iq7 B); extern _iq6 _IQ6mag(_iq6 A, _iq6 B); extern _iq5 _IQ5mag(_iq5 A, _iq5 B); extern _iq4 _IQ4mag(_iq4 A, _iq4 B); extern _iq3 _IQ3mag(_iq3 A, _iq3 B); extern _iq2 _IQ2mag(_iq2 A, _iq2 B); extern _iq1 _IQ1mag(_iq1 A, _iq1 B); #if GLOBAL_Q == 30 #define _IQmag(A, B) _IQ30mag(A, B) #endif #if GLOBAL_Q == 29 #define _IQmag(A, B) _IQ29mag(A, B) #endif #if GLOBAL_Q == 28 #define _IQmag(A, B) _IQ28mag(A, B) #endif #if GLOBAL_Q == 27 #define _IQmag(A, B) _IQ27mag(A, B) #endif #if GLOBAL_Q == 26 #define _IQmag(A, B) _IQ26mag(A, B) #endif #if GLOBAL_Q == 25 #define _IQmag(A, B) _IQ25mag(A, B) #endif #if GLOBAL_Q == 24 #define _IQmag(A, B) _IQ24mag(A, B) #endif #if GLOBAL_Q == 23 #define _IQmag(A, B) _IQ23mag(A, B) #endif #if GLOBAL_Q == 22 #define _IQmag(A, B) _IQ22mag(A, B) #endif #if GLOBAL_Q == 21 #define _IQmag(A, B) _IQ21mag(A, B) #endif #if GLOBAL_Q == 20 #define _IQmag(A, B) _IQ20mag(A, B) #endif #if GLOBAL_Q == 19 #define _IQmag(A, B) _IQ19mag(A, B) #endif #if GLOBAL_Q == 18 #define _IQmag(A, B) _IQ18mag(A, B) #endif #if GLOBAL_Q == 17 #define _IQmag(A, B) _IQ17mag(A, B) #endif #if GLOBAL_Q == 16 #define _IQmag(A, B) _IQ16mag(A, B) #endif #if GLOBAL_Q == 15 #define _IQmag(A, B) _IQ15mag(A, B) #endif #if GLOBAL_Q == 14 #define _IQmag(A, B) _IQ14mag(A, B) #endif #if GLOBAL_Q == 13 #define _IQmag(A, B) _IQ13mag(A, B) #endif #if GLOBAL_Q == 12 #define _IQmag(A, B) _IQ12mag(A, B) #endif #if GLOBAL_Q == 11 #define _IQmag(A, B) _IQ11mag(A, B) #endif #if GLOBAL_Q == 10 #define _IQmag(A, B) _IQ10mag(A, B) #endif #if GLOBAL_Q == 9 #define _IQmag(A, B) _IQ9mag(A, B) #endif #if GLOBAL_Q == 8 #define _IQmag(A, B) _IQ8mag(A, B) #endif #if GLOBAL_Q == 7 #define _IQmag(A, B) _IQ7mag(A, B) #endif #if GLOBAL_Q == 6 #define _IQmag(A, B) _IQ6mag(A, B) #endif #if GLOBAL_Q == 5 #define _IQmag(A, B) _IQ5mag(A, B) #endif #if GLOBAL_Q == 4 #define _IQmag(A, B) _IQ4mag(A, B) #endif #if GLOBAL_Q == 3 #define _IQmag(A, B) _IQ3mag(A, B) #endif #if GLOBAL_Q == 2 #define _IQmag(A, B) _IQ2mag(A, B) #endif #if GLOBAL_Q == 1 #define _IQmag(A, B) _IQ1mag(A, B) #endif //***************************************************************************** // // Converts a string into an IQ number. // //***************************************************************************** extern _iq _atoIQN(const char *A, long B); #define _atoIQ30(A) _atoIQN(A, 30) #define _atoIQ29(A) _atoIQN(A, 29) #define _atoIQ28(A) _atoIQN(A, 28) #define _atoIQ27(A) _atoIQN(A, 27) #define _atoIQ26(A) _atoIQN(A, 26) #define _atoIQ25(A) _atoIQN(A, 25) #define _atoIQ24(A) _atoIQN(A, 24) #define _atoIQ23(A) _atoIQN(A, 23) #define _atoIQ22(A) _atoIQN(A, 22) #define _atoIQ21(A) _atoIQN(A, 21) #define _atoIQ20(A) _atoIQN(A, 20) #define _atoIQ19(A) _atoIQN(A, 19) #define _atoIQ18(A) _atoIQN(A, 18) #define _atoIQ17(A) _atoIQN(A, 17) #define _atoIQ16(A) _atoIQN(A, 16) #define _atoIQ15(A) _atoIQN(A, 15) #define _atoIQ14(A) _atoIQN(A, 14) #define _atoIQ13(A) _atoIQN(A, 13) #define _atoIQ12(A) _atoIQN(A, 12) #define _atoIQ11(A) _atoIQN(A, 11) #define _atoIQ10(A) _atoIQN(A, 10) #define _atoIQ9(A) _atoIQN(A, 9) #define _atoIQ8(A) _atoIQN(A, 8) #define _atoIQ7(A) _atoIQN(A, 7) #define _atoIQ6(A) _atoIQN(A, 6) #define _atoIQ5(A) _atoIQN(A, 5) #define _atoIQ4(A) _atoIQN(A, 4) #define _atoIQ3(A) _atoIQN(A, 3) #define _atoIQ2(A) _atoIQN(A, 2) #define _atoIQ1(A) _atoIQN(A, 1) #define _atoIQ(A) _atoIQN(A, GLOBAL_Q) //***************************************************************************** // // Converts an IQ number into a string. // //***************************************************************************** extern int __IQNtoa(char *A, const char *B, _iq C, int D); #define _IQ30toa(A, B, C) __IQNtoa(A, B, C, 30); #define _IQ29toa(A, B, C) __IQNtoa(A, B, C, 29); #define _IQ28toa(A, B, C) __IQNtoa(A, B, C, 28); #define _IQ27toa(A, B, C) __IQNtoa(A, B, C, 27); #define _IQ26toa(A, B, C) __IQNtoa(A, B, C, 26); #define _IQ25toa(A, B, C) __IQNtoa(A, B, C, 25); #define _IQ24toa(A, B, C) __IQNtoa(A, B, C, 24); #define _IQ23toa(A, B, C) __IQNtoa(A, B, C, 23); #define _IQ22toa(A, B, C) __IQNtoa(A, B, C, 22); #define _IQ21toa(A, B, C) __IQNtoa(A, B, C, 21); #define _IQ20toa(A, B, C) __IQNtoa(A, B, C, 20); #define _IQ19toa(A, B, C) __IQNtoa(A, B, C, 19); #define _IQ18toa(A, B, C) __IQNtoa(A, B, C, 18); #define _IQ17toa(A, B, C) __IQNtoa(A, B, C, 17); #define _IQ16toa(A, B, C) __IQNtoa(A, B, C, 16); #define _IQ15toa(A, B, C) __IQNtoa(A, B, C, 15); #define _IQ14toa(A, B, C) __IQNtoa(A, B, C, 14); #define _IQ13toa(A, B, C) __IQNtoa(A, B, C, 13); #define _IQ12toa(A, B, C) __IQNtoa(A, B, C, 12); #define _IQ11toa(A, B, C) __IQNtoa(A, B, C, 11); #define _IQ10toa(A, B, C) __IQNtoa(A, B, C, 10); #define _IQ9toa(A, B, C) __IQNtoa(A, B, C, 9); #define _IQ8toa(A, B, C) __IQNtoa(A, B, C, 8); #define _IQ7toa(A, B, C) __IQNtoa(A, B, C, 7); #define _IQ6toa(A, B, C) __IQNtoa(A, B, C, 6); #define _IQ5toa(A, B, C) __IQNtoa(A, B, C, 5); #define _IQ4toa(A, B, C) __IQNtoa(A, B, C, 4); #define _IQ3toa(A, B, C) __IQNtoa(A, B, C, 3); #define _IQ2toa(A, B, C) __IQNtoa(A, B, C, 2); #define _IQ1toa(A, B, C) __IQNtoa(A, B, C, 1); #define _IQtoa(A, B, C) __IQNtoa(A, B, C, GLOBAL_Q) //***************************************************************************** // // Computes the absolute value of an IQ number. // //***************************************************************************** #define _IQ30abs(A) (((A) < 0) ? - (A) : (A)) #define _IQ29abs(A) (((A) < 0) ? - (A) : (A)) #define _IQ28abs(A) (((A) < 0) ? - (A) : (A)) #define _IQ27abs(A) (((A) < 0) ? - (A) : (A)) #define _IQ26abs(A) (((A) < 0) ? - (A) : (A)) #define _IQ25abs(A) (((A) < 0) ? - (A) : (A)) #define _IQ24abs(A) (((A) < 0) ? - (A) : (A)) #define _IQ23abs(A) (((A) < 0) ? - (A) : (A)) #define _IQ22abs(A) (((A) < 0) ? - (A) : (A)) #define _IQ21abs(A) (((A) < 0) ? - (A) : (A)) #define _IQ20abs(A) (((A) < 0) ? - (A) : (A)) #define _IQ19abs(A) (((A) < 0) ? - (A) : (A)) #define _IQ18abs(A) (((A) < 0) ? - (A) : (A)) #define _IQ17abs(A) (((A) < 0) ? - (A) : (A)) #define _IQ16abs(A) (((A) < 0) ? - (A) : (A)) #define _IQ15abs(A) (((A) < 0) ? - (A) : (A)) #define _IQ14abs(A) (((A) < 0) ? - (A) : (A)) #define _IQ13abs(A) (((A) < 0) ? - (A) : (A)) #define _IQ12abs(A) (((A) < 0) ? - (A) : (A)) #define _IQ11abs(A) (((A) < 0) ? - (A) : (A)) #define _IQ10abs(A) (((A) < 0) ? - (A) : (A)) #define _IQ9abs(A) (((A) < 0) ? - (A) : (A)) #define _IQ8abs(A) (((A) < 0) ? - (A) : (A)) #define _IQ7abs(A) (((A) < 0) ? - (A) : (A)) #define _IQ6abs(A) (((A) < 0) ? - (A) : (A)) #define _IQ5abs(A) (((A) < 0) ? - (A) : (A)) #define _IQ4abs(A) (((A) < 0) ? - (A) : (A)) #define _IQ3abs(A) (((A) < 0) ? - (A) : (A)) #define _IQ2abs(A) (((A) < 0) ? - (A) : (A)) #define _IQ1abs(A) (((A) < 0) ? - (A) : (A)) #define _IQabs(A) (((A) < 0) ? - (A) : (A)) //***************************************************************************** // // Computes the log value of an IQ number. // //***************************************************************************** extern long _IQ30log(_iq30 A); extern long _IQ29log(_iq29 A); extern long _IQ28log(_iq28 A); extern long _IQ27log(_iq27 A); extern long _IQ26log(_iq26 A); extern long _IQ25log(_iq25 A); extern long _IQ24log(_iq24 A); extern long _IQ23log(_iq23 A); extern long _IQ22log(_iq22 A); extern long _IQ21log(_iq21 A); extern long _IQ20log(_iq20 A); extern long _IQ19log(_iq19 A); extern long _IQ18log(_iq18 A); extern long _IQ17log(_iq17 A); extern long _IQ16log(_iq16 A); extern long _IQ15log(_iq15 A); extern long _IQ14log(_iq14 A); extern long _IQ13log(_iq13 A); extern long _IQ12log(_iq12 A); extern long _IQ11log(_iq11 A); extern long _IQ10log(_iq10 A); extern long _IQ9log(_iq9 A); extern long _IQ8log(_iq8 A); extern long _IQ7log(_iq7 A); extern long _IQ6log(_iq6 A); extern long _IQ5log(_iq5 A); extern long _IQ4log(_iq4 A); extern long _IQ3log(_iq3 A); extern long _IQ2log(_iq2 A); extern long _IQ1log(_iq1 A); #if GLOBAL_Q == 30 #define _IQlog(A) _IQ30log(A) #endif #if GLOBAL_Q == 29 #define _IQlog(A) _IQ29log(A) #endif #if GLOBAL_Q == 28 #define _IQlog(A) _IQ28log(A) #endif #if GLOBAL_Q == 27 #define _IQlog(A) _IQ27log(A) #endif #if GLOBAL_Q == 26 #define _IQlog(A) _IQ26log(A) #endif #if GLOBAL_Q == 25 #define _IQlog(A) _IQ25log(A) #endif #if GLOBAL_Q == 24 #define _IQlog(A) _IQ24log(A) #endif #if GLOBAL_Q == 23 #define _IQlog(A) _IQ23log(A) #endif #if GLOBAL_Q == 22 #define _IQlog(A) _IQ22log(A) #endif #if GLOBAL_Q == 21 #define _IQlog(A) _IQ21log(A) #endif #if GLOBAL_Q == 20 #define _IQlog(A) _IQ20log(A) #endif #if GLOBAL_Q == 19 #define _IQlog(A) _IQ19log(A) #endif #if GLOBAL_Q == 18 #define _IQlog(A) _IQ18log(A) #endif #if GLOBAL_Q == 17 #define _IQlog(A) _IQ17log(A) #endif #if GLOBAL_Q == 16 #define _IQlog(A) _IQ16log(A) #endif #if GLOBAL_Q == 15 #define _IQlog(A) _IQ15log(A) #endif #if GLOBAL_Q == 14 #define _IQlog(A) _IQ14log(A) #endif #if GLOBAL_Q == 13 #define _IQlog(A) _IQ13log(A) #endif #if GLOBAL_Q == 12 #define _IQlog(A) _IQ12log(A) #endif #if GLOBAL_Q == 11 #define _IQlog(A) _IQ11log(A) #endif #if GLOBAL_Q == 10 #define _IQlog(A) _IQ10log(A) #endif #if GLOBAL_Q == 9 #define _IQlog(A) _IQ9log(A) #endif #if GLOBAL_Q == 8 #define _IQlog(A) _IQ8log(A) #endif #if GLOBAL_Q == 7 #define _IQlog(A) _IQ7log(A) #endif #if GLOBAL_Q == 6 #define _IQlog(A) _IQ6log(A) #endif #if GLOBAL_Q == 5 #define _IQlog(A) _IQ5log(A) #endif #if GLOBAL_Q == 4 #define _IQlog(A) _IQ4log(A) #endif #if GLOBAL_Q == 3 #define _IQlog(A) _IQ3log(A) #endif #if GLOBAL_Q == 2 #define _IQlog(A) _IQ2log(A) #endif #if GLOBAL_Q == 1 #define _IQlog(A) _IQ1log(A) #endif extern long _IQ30log10(_iq30 A); extern long _IQ29log10(_iq29 A); extern long _IQ28log10(_iq28 A); extern long _IQ27log10(_iq27 A); extern long _IQ26log10(_iq26 A); extern long _IQ25log10(_iq25 A); extern long _IQ24log10(_iq24 A); extern long _IQ23log10(_iq23 A); extern long _IQ22log10(_iq22 A); extern long _IQ21log10(_iq21 A); extern long _IQ20log10(_iq20 A); extern long _IQ19log10(_iq19 A); extern long _IQ18log10(_iq18 A); extern long _IQ17log10(_iq17 A); extern long _IQ16log10(_iq16 A); extern long _IQ15log10(_iq15 A); extern long _IQ14log10(_iq14 A); extern long _IQ13log10(_iq13 A); extern long _IQ12log10(_iq12 A); extern long _IQ11log10(_iq11 A); extern long _IQ10log10(_iq10 A); extern long _IQ9log10(_iq9 A); extern long _IQ8log10(_iq8 A); extern long _IQ7log10(_iq7 A); extern long _IQ6log10(_iq6 A); extern long _IQ5log10(_iq5 A); extern long _IQ4log10(_iq4 A); extern long _IQ3log10(_iq3 A); extern long _IQ2log10(_iq2 A); extern long _IQ1log10(_iq1 A); #if GLOBAL_Q == 30 #define _IQlog10(A) _IQ30log10(A) #endif #if GLOBAL_Q == 29 #define _IQlog10(A) _IQ29log10(A) #endif #if GLOBAL_Q == 28 #define _IQlog10(A) _IQ28log10(A) #endif #if GLOBAL_Q == 27 #define _IQlog10(A) _IQ27log10(A) #endif #if GLOBAL_Q == 26 #define _IQlog10(A) _IQ26log10(A) #endif #if GLOBAL_Q == 25 #define _IQlog10(A) _IQ25log10(A) #endif #if GLOBAL_Q == 24 #define _IQlog10(A) _IQ24log10(A) #endif #if GLOBAL_Q == 23 #define _IQlog10(A) _IQ23log10(A) #endif #if GLOBAL_Q == 22 #define _IQlog10(A) _IQ22log10(A) #endif #if GLOBAL_Q == 21 #define _IQlog10(A) _IQ21log10(A) #endif #if GLOBAL_Q == 20 #define _IQlog10(A) _IQ20log10(A) #endif #if GLOBAL_Q == 19 #define _IQlog10(A) _IQ19log10(A) #endif #if GLOBAL_Q == 18 #define _IQlog10(A) _IQ18log10(A) #endif #if GLOBAL_Q == 17 #define _IQlog10(A) _IQ17log10(A) #endif #if GLOBAL_Q == 16 #define _IQlog10(A) _IQ16log10(A) #endif #if GLOBAL_Q == 15 #define _IQlog10(A) _IQ15log10(A) #endif #if GLOBAL_Q == 14 #define _IQlog10(A) _IQ14log10(A) #endif #if GLOBAL_Q == 13 #define _IQlog10(A) _IQ13log10(A) #endif #if GLOBAL_Q == 12 #define _IQlog10(A) _IQ12log10(A) #endif #if GLOBAL_Q == 11 #define _IQlog10(A) _IQ11log10(A) #endif #if GLOBAL_Q == 10 #define _IQlog10(A) _IQ10log10(A) #endif #if GLOBAL_Q == 9 #define _IQlog10(A) _IQ9log10(A) #endif #if GLOBAL_Q == 8 #define _IQlog10(A) _IQ8log10(A) #endif #if GLOBAL_Q == 7 #define _IQlog10(A) _IQ7log10(A) #endif #if GLOBAL_Q == 6 #define _IQlog10(A) _IQ6log10(A) #endif #if GLOBAL_Q == 5 #define _IQlog10(A) _IQ5log10(A) #endif #if GLOBAL_Q == 4 #define _IQlog10(A) _IQ4log10(A) #endif #if GLOBAL_Q == 3 #define _IQlog10(A) _IQ3log10(A) #endif #if GLOBAL_Q == 2 #define _IQlog10(A) _IQ2log10(A) #endif #if GLOBAL_Q == 1 #define _IQlog10(A) _IQ1log10(A) #endif //***************************************************************************** // // Otherwise, floating point math is being used. // //***************************************************************************** #else // MATH_TYPE == FLOAT_MATH //***************************************************************************** // // The floating point equivalent of the various IQ formats. // //***************************************************************************** typedef float _iq30; typedef float _iq29; typedef float _iq28; typedef float _iq27; typedef float _iq26; typedef float _iq25; typedef float _iq24; typedef float _iq23; typedef float _iq22; typedef float _iq21; typedef float _iq20; typedef float _iq19; typedef float _iq18; typedef float _iq17; typedef float _iq16; typedef float _iq15; typedef float _iq14; typedef float _iq13; typedef float _iq12; typedef float _iq11; typedef float _iq10; typedef float _iq9; typedef float _iq8; typedef float _iq7; typedef float _iq6; typedef float _iq5; typedef float _iq4; typedef float _iq3; typedef float _iq2; typedef float _iq1; typedef float _iq; //***************************************************************************** // // Simple multiplies or divides. // //***************************************************************************** #define _IQmpy2(A) ((A) * 2.0) #define _IQmpy4(A) ((A) * 4.0) #define _IQmpy8(A) ((A) * 8.0) #define _IQmpy16(A) ((A) * 16.0) #define _IQmpy32(A) ((A) * 32.0) #define _IQmpy64(A) ((A) * 64.0) #define _IQdiv2(A) ((A)*0.5) #define _IQdiv4(A) ((A)*0.25) #define _IQdiv8(A) ((A)*0.125) #define _IQdiv16(A) ((A)*0.0625) #define _IQdiv32(A) ((A)*0.03125) #define _IQdiv64(A) ((A)*0.015625) //***************************************************************************** // // Convert a value into an IQ number. // //***************************************************************************** #define _IQ30(A) (A) #define _IQ29(A) (A) #define _IQ28(A) (A) #define _IQ27(A) (A) #define _IQ26(A) (A) #define _IQ25(A) (A) #define _IQ24(A) (A) #define _IQ23(A) (A) #define _IQ22(A) (A) #define _IQ21(A) (A) #define _IQ20(A) (A) #define _IQ19(A) (A) #define _IQ18(A) (A) #define _IQ17(A) (A) #define _IQ16(A) (A) #define _IQ15(A) (A) #define _IQ14(A) (A) #define _IQ13(A) (A) #define _IQ12(A) (A) #define _IQ11(A) (A) #define _IQ10(A) (A) #define _IQ9(A) (A) #define _IQ8(A) (A) #define _IQ7(A) (A) #define _IQ6(A) (A) #define _IQ5(A) (A) #define _IQ4(A) (A) #define _IQ3(A) (A) #define _IQ2(A) (A) #define _IQ1(A) (A) #define _IQ(A) (A) //***************************************************************************** // // Convert an IQ number to a floating point value. // //***************************************************************************** #define _IQ30toF(A) (A) #define _IQ29toF(A) (A) #define _IQ28toF(A) (A) #define _IQ27toF(A) (A) #define _IQ26toF(A) (A) #define _IQ25toF(A) (A) #define _IQ24toF(A) (A) #define _IQ23toF(A) (A) #define _IQ22toF(A) (A) #define _IQ21toF(A) (A) #define _IQ20toF(A) (A) #define _IQ19toF(A) (A) #define _IQ18toF(A) (A) #define _IQ17toF(A) (A) #define _IQ16toF(A) (A) #define _IQ15toF(A) (A) #define _IQ14toF(A) (A) #define _IQ13toF(A) (A) #define _IQ12toF(A) (A) #define _IQ11toF(A) (A) #define _IQ10toF(A) (A) #define _IQ9toF(A) (A) #define _IQ8toF(A) (A) #define _IQ7toF(A) (A) #define _IQ6toF(A) (A) #define _IQ5toF(A) (A) #define _IQ4toF(A) (A) #define _IQ3toF(A) (A) #define _IQ2toF(A) (A) #define _IQ1toF(A) (A) #define _IQtoF(A) (A) //***************************************************************************** // // Convert an IQ number to a double-precision floating point value. // //***************************************************************************** #define _IQ30toD(A) (A) #define _IQ29toD(A) (A) #define _IQ28toD(A) (A) #define _IQ27toD(A) (A) #define _IQ26toD(A) (A) #define _IQ25toD(A) (A) #define _IQ24toD(A) (A) #define _IQ23toD(A) (A) #define _IQ22toD(A) (A) #define _IQ21toD(A) (A) #define _IQ20toD(A) (A) #define _IQ19toD(A) (A) #define _IQ18toD(A) (A) #define _IQ17toD(A) (A) #define _IQ16toD(A) (A) #define _IQ15toD(A) (A) #define _IQ14toD(A) (A) #define _IQ13toD(A) (A) #define _IQ12toD(A) (A) #define _IQ11toD(A) (A) #define _IQ10toD(A) (A) #define _IQ9toD(A) (A) #define _IQ8toD(A) (A) #define _IQ7toD(A) (A) #define _IQ6toD(A) (A) #define _IQ5toD(A) (A) #define _IQ4toD(A) (A) #define _IQ3toD(A) (A) #define _IQ2toD(A) (A) #define _IQ1toD(A) (A) #define _IQtoD(A) (A) //***************************************************************************** // // Saturates an IQ number in a given range. // //***************************************************************************** #define _IQsat(A, Pos, Neg) (((A) > (Pos)) ? \ (Pos) : \ (((A) < (Neg)) ? (Neg) : (A))) //***************************************************************************** // // Converts an IQ number between the global IQ format and a specified IQ // format. // //***************************************************************************** #define _IQtoIQ30(A) (A) #define _IQ30toIQ(A) (A) #define _IQtoIQ29(A) (A) #define _IQ29toIQ(A) (A) #define _IQtoIQ28(A) (A) #define _IQ28toIQ(A) (A) #define _IQtoIQ27(A) (A) #define _IQ27toIQ(A) (A) #define _IQtoIQ26(A) (A) #define _IQ26toIQ(A) (A) #define _IQtoIQ25(A) (A) #define _IQ25toIQ(A) (A) #define _IQtoIQ24(A) (A) #define _IQ24toIQ(A) (A) #define _IQtoIQ23(A) (A) #define _IQ23toIQ(A) (A) #define _IQtoIQ22(A) (A) #define _IQ22toIQ(A) (A) #define _IQtoIQ21(A) (A) #define _IQ21toIQ(A) (A) #define _IQtoIQ20(A) (A) #define _IQ20toIQ(A) (A) #define _IQtoIQ19(A) (A) #define _IQ19toIQ(A) (A) #define _IQtoIQ18(A) (A) #define _IQ18toIQ(A) (A) #define _IQtoIQ17(A) (A) #define _IQ17toIQ(A) (A) #define _IQtoIQ16(A) (A) #define _IQ16toIQ(A) (A) #define _IQtoIQ15(A) (A) #define _IQ15toIQ(A) (A) #define _IQtoIQ14(A) (A) #define _IQ14toIQ(A) (A) #define _IQtoIQ13(A) (A) #define _IQ13toIQ(A) (A) #define _IQtoIQ12(A) (A) #define _IQ12toIQ(A) (A) #define _IQtoIQ11(A) (A) #define _IQ11toIQ(A) (A) #define _IQtoIQ10(A) (A) #define _IQ10toIQ(A) (A) #define _IQtoIQ9(A) (A) #define _IQ9toIQ(A) (A) #define _IQtoIQ8(A) (A) #define _IQ8toIQ(A) (A) #define _IQtoIQ7(A) (A) #define _IQ7toIQ(A) (A) #define _IQtoIQ6(A) (A) #define _IQ6toIQ(A) (A) #define _IQtoIQ5(A) (A) #define _IQ5toIQ(A) (A) #define _IQtoIQ4(A) (A) #define _IQ4toIQ(A) (A) #define _IQtoIQ3(A) (A) #define _IQ3toIQ(A) (A) #define _IQtoIQ2(A) (A) #define _IQ2toIQ(A) (A) #define _IQtoIQ1(A) (A) #define _IQ1toIQ(A) (A) //***************************************************************************** // // Converts a number between IQ format and 16-bit Qn format. // //***************************************************************************** #define _IQtoQ15(A) ((short)((long) ((A) * 32768.0))) #define _IQtoQ14(A) ((short)((long) ((A) * 16384.0))) #define _IQtoQ13(A) ((short)((long) ((A) * 8192.0))) #define _IQtoQ12(A) ((short)((long) ((A) * 4096.0))) #define _IQtoQ11(A) ((short)((long) ((A) * 2048.0))) #define _IQtoQ10(A) ((short)((long) ((A) * 1024.0))) #define _IQtoQ9(A) ((short)((long) ((A) * 512.0))) #define _IQtoQ8(A) ((short)((long) ((A) * 256.0))) #define _IQtoQ7(A) ((short)((long) ((A) * 128.0))) #define _IQtoQ6(A) ((short)((long) ((A) * 64.0))) #define _IQtoQ5(A) ((short)((long) ((A) * 32.0))) #define _IQtoQ4(A) ((short)((long) ((A) * 16.0))) #define _IQtoQ3(A) ((short)((long) ((A) * 8.0))) #define _IQtoQ2(A) ((short)((long) ((A) * 4.0))) #define _IQtoQ1(A) ((short)((long) ((A) * 2.0))) #define _Q15toIQ(A) (((float) (A)) * 0.000030518) #define _Q14toIQ(A) (((float) (A)) * 0.000061035) #define _Q13toIQ(A) (((float) (A)) * 0.000122070) #define _Q12toIQ(A) (((float) (A)) * 0.000244141) #define _Q11toIQ(A) (((float) (A)) * 0.000488281) #define _Q10toIQ(A) (((float) (A)) * 0.000976563) #define _Q9toIQ(A) (((float) (A)) * 0.001953125) #define _Q8toIQ(A) (((float) (A)) * 0.003906250) #define _Q7toIQ(A) (((float) (A)) * 0.007812500) #define _Q6toIQ(A) (((float) (A)) * 0.015625000) #define _Q5toIQ(A) (((float) (A)) * 0.031250000) #define _Q4toIQ(A) (((float) (A)) * 0.062500000) #define _Q3toIQ(A) (((float) (A)) * 0.125000000) #define _Q2toIQ(A) (((float) (A)) * 0.250000000) #define _Q1toIQ(A) (((float) (A)) * 0.500000000) //***************************************************************************** // // Multiplies two IQ numbers. // //***************************************************************************** #define _IQ30mpy(A, B) ((A) * (B)) #define _IQ29mpy(A, B) ((A) * (B)) #define _IQ28mpy(A, B) ((A) * (B)) #define _IQ27mpy(A, B) ((A) * (B)) #define _IQ26mpy(A, B) ((A) * (B)) #define _IQ25mpy(A, B) ((A) * (B)) #define _IQ24mpy(A, B) ((A) * (B)) #define _IQ23mpy(A, B) ((A) * (B)) #define _IQ22mpy(A, B) ((A) * (B)) #define _IQ21mpy(A, B) ((A) * (B)) #define _IQ20mpy(A, B) ((A) * (B)) #define _IQ19mpy(A, B) ((A) * (B)) #define _IQ18mpy(A, B) ((A) * (B)) #define _IQ17mpy(A, B) ((A) * (B)) #define _IQ16mpy(A, B) ((A) * (B)) #define _IQ15mpy(A, B) ((A) * (B)) #define _IQ14mpy(A, B) ((A) * (B)) #define _IQ13mpy(A, B) ((A) * (B)) #define _IQ12mpy(A, B) ((A) * (B)) #define _IQ11mpy(A, B) ((A) * (B)) #define _IQ10mpy(A, B) ((A) * (B)) #define _IQ9mpy(A, B) ((A) * (B)) #define _IQ8mpy(A, B) ((A) * (B)) #define _IQ7mpy(A, B) ((A) * (B)) #define _IQ6mpy(A, B) ((A) * (B)) #define _IQ5mpy(A, B) ((A) * (B)) #define _IQ4mpy(A, B) ((A) * (B)) #define _IQ3mpy(A, B) ((A) * (B)) #define _IQ2mpy(A, B) ((A) * (B)) #define _IQ1mpy(A, B) ((A) * (B)) #define _IQmpy(A, B) ((A) * (B)) //***************************************************************************** // // Multiplies two IQ numbers, with rounding. // //***************************************************************************** #define _IQ30rmpy(A, B) ((A) * (B)) #define _IQ29rmpy(A, B) ((A) * (B)) #define _IQ28rmpy(A, B) ((A) * (B)) #define _IQ27rmpy(A, B) ((A) * (B)) #define _IQ26rmpy(A, B) ((A) * (B)) #define _IQ25rmpy(A, B) ((A) * (B)) #define _IQ24rmpy(A, B) ((A) * (B)) #define _IQ23rmpy(A, B) ((A) * (B)) #define _IQ22rmpy(A, B) ((A) * (B)) #define _IQ21rmpy(A, B) ((A) * (B)) #define _IQ20rmpy(A, B) ((A) * (B)) #define _IQ19rmpy(A, B) ((A) * (B)) #define _IQ18rmpy(A, B) ((A) * (B)) #define _IQ17rmpy(A, B) ((A) * (B)) #define _IQ16rmpy(A, B) ((A) * (B)) #define _IQ15rmpy(A, B) ((A) * (B)) #define _IQ14rmpy(A, B) ((A) * (B)) #define _IQ13rmpy(A, B) ((A) * (B)) #define _IQ12rmpy(A, B) ((A) * (B)) #define _IQ11rmpy(A, B) ((A) * (B)) #define _IQ10rmpy(A, B) ((A) * (B)) #define _IQ9rmpy(A, B) ((A) * (B)) #define _IQ8rmpy(A, B) ((A) * (B)) #define _IQ7rmpy(A, B) ((A) * (B)) #define _IQ6rmpy(A, B) ((A) * (B)) #define _IQ5rmpy(A, B) ((A) * (B)) #define _IQ4rmpy(A, B) ((A) * (B)) #define _IQ3rmpy(A, B) ((A) * (B)) #define _IQ2rmpy(A, B) ((A) * (B)) #define _IQ1rmpy(A, B) ((A) * (B)) #define _IQrmpy(A, B) ((A) * (B)) //***************************************************************************** // // Multiplies two IQ numbers, with rounding and saturation. // //***************************************************************************** #define _IQ30rsmpy(A, B) ((A) * (B)) #define _IQ29rsmpy(A, B) ((A) * (B)) #define _IQ28rsmpy(A, B) ((A) * (B)) #define _IQ27rsmpy(A, B) ((A) * (B)) #define _IQ26rsmpy(A, B) ((A) * (B)) #define _IQ25rsmpy(A, B) ((A) * (B)) #define _IQ24rsmpy(A, B) ((A) * (B)) #define _IQ23rsmpy(A, B) ((A) * (B)) #define _IQ22rsmpy(A, B) ((A) * (B)) #define _IQ21rsmpy(A, B) ((A) * (B)) #define _IQ20rsmpy(A, B) ((A) * (B)) #define _IQ19rsmpy(A, B) ((A) * (B)) #define _IQ18rsmpy(A, B) ((A) * (B)) #define _IQ17rsmpy(A, B) ((A) * (B)) #define _IQ16rsmpy(A, B) ((A) * (B)) #define _IQ15rsmpy(A, B) ((A) * (B)) #define _IQ14rsmpy(A, B) ((A) * (B)) #define _IQ13rsmpy(A, B) ((A) * (B)) #define _IQ12rsmpy(A, B) ((A) * (B)) #define _IQ11rsmpy(A, B) ((A) * (B)) #define _IQ10rsmpy(A, B) ((A) * (B)) #define _IQ9rsmpy(A, B) ((A) * (B)) #define _IQ8rsmpy(A, B) ((A) * (B)) #define _IQ7rsmpy(A, B) ((A) * (B)) #define _IQ6rsmpy(A, B) ((A) * (B)) #define _IQ5rsmpy(A, B) ((A) * (B)) #define _IQ4rsmpy(A, B) ((A) * (B)) #define _IQ3rsmpy(A, B) ((A) * (B)) #define _IQ2rsmpy(A, B) ((A) * (B)) #define _IQ1rsmpy(A, B) ((A) * (B)) #define _IQrsmpy(A, B) ((A) * (B)) //***************************************************************************** // // Divides two IQ numbers. // //***************************************************************************** #define _IQ30div(A, B) ((A) / (B)) #define _IQ29div(A, B) ((A) / (B)) #define _IQ28div(A, B) ((A) / (B)) #define _IQ27div(A, B) ((A) / (B)) #define _IQ26div(A, B) ((A) / (B)) #define _IQ25div(A, B) ((A) / (B)) #define _IQ24div(A, B) ((A) / (B)) #define _IQ23div(A, B) ((A) / (B)) #define _IQ22div(A, B) ((A) / (B)) #define _IQ21div(A, B) ((A) / (B)) #define _IQ20div(A, B) ((A) / (B)) #define _IQ19div(A, B) ((A) / (B)) #define _IQ18div(A, B) ((A) / (B)) #define _IQ17div(A, B) ((A) / (B)) #define _IQ16div(A, B) ((A) / (B)) #define _IQ15div(A, B) ((A) / (B)) #define _IQ14div(A, B) ((A) / (B)) #define _IQ13div(A, B) ((A) / (B)) #define _IQ12div(A, B) ((A) / (B)) #define _IQ11div(A, B) ((A) / (B)) #define _IQ10div(A, B) ((A) / (B)) #define _IQ9div(A, B) ((A) / (B)) #define _IQ8div(A, B) ((A) / (B)) #define _IQ7div(A, B) ((A) / (B)) #define _IQ6div(A, B) ((A) / (B)) #define _IQ5div(A, B) ((A) / (B)) #define _IQ4div(A, B) ((A) / (B)) #define _IQ3div(A, B) ((A) / (B)) #define _IQ2div(A, B) ((A) / (B)) #define _IQ1div(A, B) ((A) / (B)) #define _IQdiv(A, B) ((A) / (B)) //***************************************************************************** // // Computes the sin of an IQ number. // //***************************************************************************** #define _IQ30sin(A) sin(A) #define _IQ29sin(A) sin(A) #define _IQ28sin(A) sin(A) #define _IQ27sin(A) sin(A) #define _IQ26sin(A) sin(A) #define _IQ25sin(A) sin(A) #define _IQ24sin(A) sin(A) #define _IQ23sin(A) sin(A) #define _IQ22sin(A) sin(A) #define _IQ21sin(A) sin(A) #define _IQ20sin(A) sin(A) #define _IQ19sin(A) sin(A) #define _IQ18sin(A) sin(A) #define _IQ17sin(A) sin(A) #define _IQ16sin(A) sin(A) #define _IQ15sin(A) sin(A) #define _IQ14sin(A) sin(A) #define _IQ13sin(A) sin(A) #define _IQ12sin(A) sin(A) #define _IQ11sin(A) sin(A) #define _IQ10sin(A) sin(A) #define _IQ9sin(A) sin(A) #define _IQ8sin(A) sin(A) #define _IQ7sin(A) sin(A) #define _IQ6sin(A) sin(A) #define _IQ5sin(A) sin(A) #define _IQ4sin(A) sin(A) #define _IQ3sin(A) sin(A) #define _IQ2sin(A) sin(A) #define _IQ1sin(A) sin(A) #define _IQsin(A) sin(A) //***************************************************************************** // // Computes the sin of an IQ number, using cycles per unit instead of radians. // //***************************************************************************** #define _IQ30sinPU(A) sin((A) * 6.283185307) #define _IQ29sinPU(A) sin((A) * 6.283185307) #define _IQ28sinPU(A) sin((A) * 6.283185307) #define _IQ27sinPU(A) sin((A) * 6.283185307) #define _IQ26sinPU(A) sin((A) * 6.283185307) #define _IQ25sinPU(A) sin((A) * 6.283185307) #define _IQ24sinPU(A) sin((A) * 6.283185307) #define _IQ23sinPU(A) sin((A) * 6.283185307) #define _IQ22sinPU(A) sin((A) * 6.283185307) #define _IQ21sinPU(A) sin((A) * 6.283185307) #define _IQ20sinPU(A) sin((A) * 6.283185307) #define _IQ19sinPU(A) sin((A) * 6.283185307) #define _IQ18sinPU(A) sin((A) * 6.283185307) #define _IQ17sinPU(A) sin((A) * 6.283185307) #define _IQ16sinPU(A) sin((A) * 6.283185307) #define _IQ15sinPU(A) sin((A) * 6.283185307) #define _IQ14sinPU(A) sin((A) * 6.283185307) #define _IQ13sinPU(A) sin((A) * 6.283185307) #define _IQ12sinPU(A) sin((A) * 6.283185307) #define _IQ11sinPU(A) sin((A) * 6.283185307) #define _IQ10sinPU(A) sin((A) * 6.283185307) #define _IQ9sinPU(A) sin((A) * 6.283185307) #define _IQ8sinPU(A) sin((A) * 6.283185307) #define _IQ7sinPU(A) sin((A) * 6.283185307) #define _IQ6sinPU(A) sin((A) * 6.283185307) #define _IQ5sinPU(A) sin((A) * 6.283185307) #define _IQ4sinPU(A) sin((A) * 6.283185307) #define _IQ3sinPU(A) sin((A) * 6.283185307) #define _IQ2sinPU(A) sin((A) * 6.283185307) #define _IQ1sinPU(A) sin((A) * 6.283185307) #define _IQsinPU(A) sin((A) * 6.283185307) //***************************************************************************** // // Computes the arcsin of an IQ number. // //***************************************************************************** #define _IQ30asin(A) asin(A) #define _IQ29asin(A) asin(A) #define _IQ28asin(A) asin(A) #define _IQ27asin(A) asin(A) #define _IQ26asin(A) asin(A) #define _IQ25asin(A) asin(A) #define _IQ24asin(A) asin(A) #define _IQ23asin(A) asin(A) #define _IQ22asin(A) asin(A) #define _IQ21asin(A) asin(A) #define _IQ20asin(A) asin(A) #define _IQ19asin(A) asin(A) #define _IQ18asin(A) asin(A) #define _IQ17asin(A) asin(A) #define _IQ16asin(A) asin(A) #define _IQ15asin(A) asin(A) #define _IQ14asin(A) asin(A) #define _IQ13asin(A) asin(A) #define _IQ12asin(A) asin(A) #define _IQ11asin(A) asin(A) #define _IQ10asin(A) asin(A) #define _IQ9asin(A) asin(A) #define _IQ8asin(A) asin(A) #define _IQ7asin(A) asin(A) #define _IQ6asin(A) asin(A) #define _IQ5asin(A) asin(A) #define _IQ4asin(A) asin(A) #define _IQ3asin(A) asin(A) #define _IQ2asin(A) asin(A) #define _IQ1asin(A) asin(A) #define _IQasin(A) asin(A) //***************************************************************************** // // Computes the cos of an IQ number. // //***************************************************************************** #define _IQ30cos(A) cos(A) #define _IQ29cos(A) cos(A) #define _IQ28cos(A) cos(A) #define _IQ27cos(A) cos(A) #define _IQ26cos(A) cos(A) #define _IQ25cos(A) cos(A) #define _IQ24cos(A) cos(A) #define _IQ23cos(A) cos(A) #define _IQ22cos(A) cos(A) #define _IQ21cos(A) cos(A) #define _IQ20cos(A) cos(A) #define _IQ19cos(A) cos(A) #define _IQ18cos(A) cos(A) #define _IQ17cos(A) cos(A) #define _IQ16cos(A) cos(A) #define _IQ15cos(A) cos(A) #define _IQ14cos(A) cos(A) #define _IQ13cos(A) cos(A) #define _IQ12cos(A) cos(A) #define _IQ11cos(A) cos(A) #define _IQ10cos(A) cos(A) #define _IQ9cos(A) cos(A) #define _IQ8cos(A) cos(A) #define _IQ7cos(A) cos(A) #define _IQ6cos(A) cos(A) #define _IQ5cos(A) cos(A) #define _IQ4cos(A) cos(A) #define _IQ3cos(A) cos(A) #define _IQ2cos(A) cos(A) #define _IQ1cos(A) cos(A) #define _IQcos(A) cos(A) //***************************************************************************** // // Computes the cos of an IQ number, using cycles per unit instead of radians. // //***************************************************************************** #define _IQ30cosPU(A) cos((A) * 6.283185307) #define _IQ29cosPU(A) cos((A) * 6.283185307) #define _IQ28cosPU(A) cos((A) * 6.283185307) #define _IQ27cosPU(A) cos((A) * 6.283185307) #define _IQ26cosPU(A) cos((A) * 6.283185307) #define _IQ25cosPU(A) cos((A) * 6.283185307) #define _IQ24cosPU(A) cos((A) * 6.283185307) #define _IQ23cosPU(A) cos((A) * 6.283185307) #define _IQ22cosPU(A) cos((A) * 6.283185307) #define _IQ21cosPU(A) cos((A) * 6.283185307) #define _IQ20cosPU(A) cos((A) * 6.283185307) #define _IQ19cosPU(A) cos((A) * 6.283185307) #define _IQ18cosPU(A) cos((A) * 6.283185307) #define _IQ17cosPU(A) cos((A) * 6.283185307) #define _IQ16cosPU(A) cos((A) * 6.283185307) #define _IQ15cosPU(A) cos((A) * 6.283185307) #define _IQ14cosPU(A) cos((A) * 6.283185307) #define _IQ13cosPU(A) cos((A) * 6.283185307) #define _IQ12cosPU(A) cos((A) * 6.283185307) #define _IQ11cosPU(A) cos((A) * 6.283185307) #define _IQ10cosPU(A) cos((A) * 6.283185307) #define _IQ9cosPU(A) cos((A) * 6.283185307) #define _IQ8cosPU(A) cos((A) * 6.283185307) #define _IQ7cosPU(A) cos((A) * 6.283185307) #define _IQ6cosPU(A) cos((A) * 6.283185307) #define _IQ5cosPU(A) cos((A) * 6.283185307) #define _IQ4cosPU(A) cos((A) * 6.283185307) #define _IQ3cosPU(A) cos((A) * 6.283185307) #define _IQ2cosPU(A) cos((A) * 6.283185307) #define _IQ1cosPU(A) cos((A) * 6.283185307) #define _IQcosPU(A) cos((A) * 6.283185307) //***************************************************************************** // // Computes the arccos of an IQ number. // //***************************************************************************** #define _IQ30acos(A) acos(A) #define _IQ29acos(A) acos(A) #define _IQ28acos(A) acos(A) #define _IQ27acos(A) acos(A) #define _IQ26acos(A) acos(A) #define _IQ25acos(A) acos(A) #define _IQ24acos(A) acos(A) #define _IQ23acos(A) acos(A) #define _IQ22acos(A) acos(A) #define _IQ21acos(A) acos(A) #define _IQ20acos(A) acos(A) #define _IQ19acos(A) acos(A) #define _IQ18acos(A) acos(A) #define _IQ17acos(A) acos(A) #define _IQ16acos(A) acos(A) #define _IQ15acos(A) acos(A) #define _IQ14acos(A) acos(A) #define _IQ13acos(A) acos(A) #define _IQ12acos(A) acos(A) #define _IQ11acos(A) acos(A) #define _IQ10acos(A) acos(A) #define _IQ9acos(A) acos(A) #define _IQ8acos(A) acos(A) #define _IQ7acos(A) acos(A) #define _IQ6acos(A) acos(A) #define _IQ5acos(A) acos(A) #define _IQ4acos(A) acos(A) #define _IQ3acos(A) acos(A) #define _IQ2acos(A) acos(A) #define _IQ1acos(A) acos(A) #define _IQacos(A) acos(A) //***************************************************************************** // // Computes the arctan of an IQ number. // //***************************************************************************** #define _IQ30atan(A) atan(A) #define _IQ29atan(A) atan(A) #define _IQ28atan(A) atan(A) #define _IQ27atan(A) atan(A) #define _IQ26atan(A) atan(A) #define _IQ25atan(A) atan(A) #define _IQ24atan(A) atan(A) #define _IQ23atan(A) atan(A) #define _IQ22atan(A) atan(A) #define _IQ21atan(A) atan(A) #define _IQ20atan(A) atan(A) #define _IQ19atan(A) atan(A) #define _IQ18atan(A) atan(A) #define _IQ17atan(A) atan(A) #define _IQ16atan(A) atan(A) #define _IQ15atan(A) atan(A) #define _IQ14atan(A) atan(A) #define _IQ13atan(A) atan(A) #define _IQ12atan(A) atan(A) #define _IQ11atan(A) atan(A) #define _IQ10atan(A) atan(A) #define _IQ9atan(A) atan(A) #define _IQ8atan(A) atan(A) #define _IQ7atan(A) atan(A) #define _IQ6atan(A) atan(A) #define _IQ5atan(A) atan(A) #define _IQ4atan(A) atan(A) #define _IQ3atan(A) atan(A) #define _IQ2atan(A) atan(A) #define _IQ1atan(A) atan(A) #define _IQatan(A) atan(A) //***************************************************************************** // // Computes the arctan of a coordinate specified by two IQ numbers. // //***************************************************************************** #define _IQ30atan2(A, B) atan2(A, B) #define _IQ29atan2(A, B) atan2(A, B) #define _IQ28atan2(A, B) atan2(A, B) #define _IQ27atan2(A, B) atan2(A, B) #define _IQ26atan2(A, B) atan2(A, B) #define _IQ25atan2(A, B) atan2(A, B) #define _IQ24atan2(A, B) atan2(A, B) #define _IQ23atan2(A, B) atan2(A, B) #define _IQ22atan2(A, B) atan2(A, B) #define _IQ21atan2(A, B) atan2(A, B) #define _IQ20atan2(A, B) atan2(A, B) #define _IQ19atan2(A, B) atan2(A, B) #define _IQ18atan2(A, B) atan2(A, B) #define _IQ17atan2(A, B) atan2(A, B) #define _IQ16atan2(A, B) atan2(A, B) #define _IQ15atan2(A, B) atan2(A, B) #define _IQ14atan2(A, B) atan2(A, B) #define _IQ13atan2(A, B) atan2(A, B) #define _IQ12atan2(A, B) atan2(A, B) #define _IQ11atan2(A, B) atan2(A, B) #define _IQ10atan2(A, B) atan2(A, B) #define _IQ9atan2(A, B) atan2(A, B) #define _IQ8atan2(A, B) atan2(A, B) #define _IQ7atan2(A, B) atan2(A, B) #define _IQ6atan2(A, B) atan2(A, B) #define _IQ5atan2(A, B) atan2(A, B) #define _IQ4atan2(A, B) atan2(A, B) #define _IQ3atan2(A, B) atan2(A, B) #define _IQ2atan2(A, B) atan2(A, B) #define _IQ1atan2(A, B) atan2(A, B) #define _IQatan2(A, B) atan2(A, B) //***************************************************************************** // // Computes the arctan of a coordinate specified by two IQ numbers, returning // the value in cycles per unit instead of radians. // //***************************************************************************** #define _IQ30atan2PU(A, B) (((atan2(A, B) * (1.0 / 6.283185307)) >= \ 0.0) ? \ (atan2(A, B) * (1.0 / 6.283185307)) : \ (atan2(A, B) * (1.0 / 6.283185307) + 1.0)) #define _IQ29atan2PU(A, B) (((atan2(A, B) * (1.0 / 6.283185307)) >= \ 0.0) ? \ (atan2(A, B) * (1.0 / 6.283185307)) : \ (atan2(A, B) * (1.0 / 6.283185307) + 1.0)) #define _IQ28atan2PU(A, B) (((atan2(A, B) * (1.0 / 6.283185307)) >= \ 0.0) ? \ (atan2(A, B) * (1.0 / 6.283185307)) : \ (atan2(A, B) * (1.0 / 6.283185307) + 1.0)) #define _IQ27atan2PU(A, B) (((atan2(A, B) * (1.0 / 6.283185307)) >= \ 0.0) ? \ (atan2(A, B) * (1.0 / 6.283185307)) : \ (atan2(A, B) * (1.0 / 6.283185307) + 1.0)) #define _IQ26atan2PU(A, B) (((atan2(A, B) * (1.0 / 6.283185307)) >= \ 0.0) ? \ (atan2(A, B) * (1.0 / 6.283185307)) : \ (atan2(A, B) * (1.0 / 6.283185307) + 1.0)) #define _IQ25atan2PU(A, B) (((atan2(A, B) * (1.0 / 6.283185307)) >= \ 0.0) ? \ (atan2(A, B) * (1.0 / 6.283185307)) : \ (atan2(A, B) * (1.0 / 6.283185307) + 1.0)) #define _IQ24atan2PU(A, B) (((atan2(A, B) * (1.0 / 6.283185307)) >= \ 0.0) ? \ (atan2(A, B) * (1.0 / 6.283185307)) : \ (atan2(A, B) * (1.0 / 6.283185307) + 1.0)) #define _IQ23atan2PU(A, B) (((atan2(A, B) * (1.0 / 6.283185307)) >= \ 0.0) ? \ (atan2(A, B) * (1.0 / 6.283185307)) : \ (atan2(A, B) * (1.0 / 6.283185307) + 1.0)) #define _IQ22atan2PU(A, B) (((atan2(A, B) * (1.0 / 6.283185307)) >= \ 0.0) ? \ (atan2(A, B) * (1.0 / 6.283185307)) : \ (atan2(A, B) * (1.0 / 6.283185307) + 1.0)) #define _IQ21atan2PU(A, B) (((atan2(A, B) * (1.0 / 6.283185307)) >= \ 0.0) ? \ (atan2(A, B) * (1.0 / 6.283185307)) : \ (atan2(A, B) * (1.0 / 6.283185307) + 1.0)) #define _IQ20atan2PU(A, B) (((atan2(A, B) * (1.0 / 6.283185307)) >= \ 0.0) ? \ (atan2(A, B) * (1.0 / 6.283185307)) : \ (atan2(A, B) * (1.0 / 6.283185307) + 1.0)) #define _IQ19atan2PU(A, B) (((atan2(A, B) * (1.0 / 6.283185307)) >= \ 0.0) ? \ (atan2(A, B) * (1.0 / 6.283185307)) : \ (atan2(A, B) * (1.0 / 6.283185307) + 1.0)) #define _IQ18atan2PU(A, B) (((atan2(A, B) * (1.0 / 6.283185307)) >= \ 0.0) ? \ (atan2(A, B) * (1.0 / 6.283185307)) : \ (atan2(A, B) * (1.0 / 6.283185307) + 1.0)) #define _IQ17atan2PU(A, B) (((atan2(A, B) * (1.0 / 6.283185307)) >= \ 0.0) ? \ (atan2(A, B) * (1.0 / 6.283185307)) : \ (atan2(A, B) * (1.0 / 6.283185307) + 1.0)) #define _IQ16atan2PU(A, B) (((atan2(A, B) * (1.0 / 6.283185307)) >= \ 0.0) ? \ (atan2(A, B) * (1.0 / 6.283185307)) : \ (atan2(A, B) * (1.0 / 6.283185307) + 1.0)) #define _IQ15atan2PU(A, B) (((atan2(A, B) * (1.0 / 6.283185307)) >= \ 0.0) ? \ (atan2(A, B) * (1.0 / 6.283185307)) : \ (atan2(A, B) * (1.0 / 6.283185307) + 1.0)) #define _IQ14atan2PU(A, B) (((atan2(A, B) * (1.0 / 6.283185307)) >= \ 0.0) ? \ (atan2(A, B) * (1.0 / 6.283185307)) : \ (atan2(A, B) * (1.0 / 6.283185307) + 1.0)) #define _IQ13atan2PU(A, B) (((atan2(A, B) * (1.0 / 6.283185307)) >= \ 0.0) ? \ (atan2(A, B) * (1.0 / 6.283185307)) : \ (atan2(A, B) * (1.0 / 6.283185307) + 1.0)) #define _IQ12atan2PU(A, B) (((atan2(A, B) * (1.0 / 6.283185307)) >= \ 0.0) ? \ (atan2(A, B) * (1.0 / 6.283185307)) : \ (atan2(A, B) * (1.0 / 6.283185307) + 1.0)) #define _IQ11atan2PU(A, B) (((atan2(A, B) * (1.0 / 6.283185307)) >= \ 0.0) ? \ (atan2(A, B) * (1.0 / 6.283185307)) : \ (atan2(A, B) * (1.0 / 6.283185307) + 1.0)) #define _IQ10atan2PU(A, B) (((atan2(A, B) * (1.0 / 6.283185307)) >= \ 0.0) ? \ (atan2(A, B) * (1.0 / 6.283185307)) : \ (atan2(A, B) * (1.0 / 6.283185307) + 1.0)) #define _IQ9atan2PU(A, B) (((atan2(A, B) * (1.0 / 6.283185307)) >= \ 0.0) ? \ (atan2(A, B) * (1.0 / 6.283185307)) : \ (atan2(A, B) * (1.0 / 6.283185307) + 1.0)) #define _IQ8atan2PU(A, B) (((atan2(A, B) * (1.0 / 6.283185307)) >= \ 0.0) ? \ (atan2(A, B) * (1.0 / 6.283185307)) : \ (atan2(A, B) * (1.0 / 6.283185307) + 1.0)) #define _IQ7atan2PU(A, B) (((atan2(A, B) * (1.0 / 6.283185307)) >= \ 0.0) ? \ (atan2(A, B) * (1.0 / 6.283185307)) : \ (atan2(A, B) * (1.0 / 6.283185307) + 1.0)) #define _IQ6atan2PU(A, B) (((atan2(A, B) * (1.0 / 6.283185307)) >= \ 0.0) ? \ (atan2(A, B) * (1.0 / 6.283185307)) : \ (atan2(A, B) * (1.0 / 6.283185307) + 1.0)) #define _IQ5atan2PU(A, B) (((atan2(A, B) * (1.0 / 6.283185307)) >= \ 0.0) ? \ (atan2(A, B) * (1.0 / 6.283185307)) : \ (atan2(A, B) * (1.0 / 6.283185307) + 1.0)) #define _IQ4atan2PU(A, B) (((atan2(A, B) * (1.0 / 6.283185307)) >= \ 0.0) ? \ (atan2(A, B) * (1.0 / 6.283185307)) : \ (atan2(A, B) * (1.0 / 6.283185307) + 1.0)) #define _IQ3atan2PU(A, B) (((atan2(A, B) * (1.0 / 6.283185307)) >= \ 0.0) ? \ (atan2(A, B) * (1.0 / 6.283185307)) : \ (atan2(A, B) * (1.0 / 6.283185307) + 1.0)) #define _IQ2atan2PU(A, B) (((atan2(A, B) * (1.0 / 6.283185307)) >= \ 0.0) ? \ (atan2(A, B) * (1.0 / 6.283185307)) : \ (atan2(A, B) * (1.0 / 6.283185307) + 1.0)) #define _IQ1atan2PU(A, B) (((atan2(A, B) * (1.0 / 6.283185307)) >= \ 0.0) ? \ (atan2(A, B) * (1.0 / 6.283185307)) : \ (atan2(A, B) * (1.0 / 6.283185307) + 1.0)) #define _IQatan2PU(A, B) (((atan2(A, B) * (1.0 / 6.283185307)) >= \ 0.0) ? \ (atan2(A, B) * (1.0 / 6.283185307)) : \ (atan2(A, B) * (1.0 / 6.283185307) + 1.0)) //***************************************************************************** // // Computes the square root of an IQ number. // //***************************************************************************** #define _IQ30sqrt(A) sqrt(A) #define _IQ29sqrt(A) sqrt(A) #define _IQ28sqrt(A) sqrt(A) #define _IQ27sqrt(A) sqrt(A) #define _IQ26sqrt(A) sqrt(A) #define _IQ25sqrt(A) sqrt(A) #define _IQ24sqrt(A) sqrt(A) #define _IQ23sqrt(A) sqrt(A) #define _IQ22sqrt(A) sqrt(A) #define _IQ21sqrt(A) sqrt(A) #define _IQ20sqrt(A) sqrt(A) #define _IQ19sqrt(A) sqrt(A) #define _IQ18sqrt(A) sqrt(A) #define _IQ17sqrt(A) sqrt(A) #define _IQ16sqrt(A) sqrt(A) #define _IQ15sqrt(A) sqrt(A) #define _IQ14sqrt(A) sqrt(A) #define _IQ13sqrt(A) sqrt(A) #define _IQ12sqrt(A) sqrt(A) #define _IQ11sqrt(A) sqrt(A) #define _IQ10sqrt(A) sqrt(A) #define _IQ9sqrt(A) sqrt(A) #define _IQ8sqrt(A) sqrt(A) #define _IQ7sqrt(A) sqrt(A) #define _IQ6sqrt(A) sqrt(A) #define _IQ5sqrt(A) sqrt(A) #define _IQ4sqrt(A) sqrt(A) #define _IQ3sqrt(A) sqrt(A) #define _IQ2sqrt(A) sqrt(A) #define _IQ1sqrt(A) sqrt(A) #define _IQsqrt(A) sqrt(A) //***************************************************************************** // // Computes 1 over the square root of an IQ number. // //***************************************************************************** #define _IQ30isqrt(A) (1.0 / sqrt(A)) #define _IQ29isqrt(A) (1.0 / sqrt(A)) #define _IQ28isqrt(A) (1.0 / sqrt(A)) #define _IQ27isqrt(A) (1.0 / sqrt(A)) #define _IQ26isqrt(A) (1.0 / sqrt(A)) #define _IQ25isqrt(A) (1.0 / sqrt(A)) #define _IQ24isqrt(A) (1.0 / sqrt(A)) #define _IQ23isqrt(A) (1.0 / sqrt(A)) #define _IQ22isqrt(A) (1.0 / sqrt(A)) #define _IQ21isqrt(A) (1.0 / sqrt(A)) #define _IQ20isqrt(A) (1.0 / sqrt(A)) #define _IQ19isqrt(A) (1.0 / sqrt(A)) #define _IQ18isqrt(A) (1.0 / sqrt(A)) #define _IQ17isqrt(A) (1.0 / sqrt(A)) #define _IQ16isqrt(A) (1.0 / sqrt(A)) #define _IQ15isqrt(A) (1.0 / sqrt(A)) #define _IQ14isqrt(A) (1.0 / sqrt(A)) #define _IQ13isqrt(A) (1.0 / sqrt(A)) #define _IQ12isqrt(A) (1.0 / sqrt(A)) #define _IQ11isqrt(A) (1.0 / sqrt(A)) #define _IQ10isqrt(A) (1.0 / sqrt(A)) #define _IQ9isqrt(A) (1.0 / sqrt(A)) #define _IQ8isqrt(A) (1.0 / sqrt(A)) #define _IQ7isqrt(A) (1.0 / sqrt(A)) #define _IQ6isqrt(A) (1.0 / sqrt(A)) #define _IQ5isqrt(A) (1.0 / sqrt(A)) #define _IQ4isqrt(A) (1.0 / sqrt(A)) #define _IQ3isqrt(A) (1.0 / sqrt(A)) #define _IQ2isqrt(A) (1.0 / sqrt(A)) #define _IQ1isqrt(A) (1.0 / sqrt(A)) #define _IQisqrt(A) (1.0 / sqrt(A)) //***************************************************************************** // // Computes e^x of an IQ number. // //***************************************************************************** #define _IQ30exp(A) exp(A) #define _IQ29exp(A) exp(A) #define _IQ28exp(A) exp(A) #define _IQ27exp(A) exp(A) #define _IQ26exp(A) exp(A) #define _IQ25exp(A) exp(A) #define _IQ24exp(A) exp(A) #define _IQ23exp(A) exp(A) #define _IQ22exp(A) exp(A) #define _IQ21exp(A) exp(A) #define _IQ20exp(A) exp(A) #define _IQ19exp(A) exp(A) #define _IQ18exp(A) exp(A) #define _IQ17exp(A) exp(A) #define _IQ16exp(A) exp(A) #define _IQ15exp(A) exp(A) #define _IQ14exp(A) exp(A) #define _IQ13exp(A) exp(A) #define _IQ12exp(A) exp(A) #define _IQ11exp(A) exp(A) #define _IQ10exp(A) exp(A) #define _IQ9exp(A) exp(A) #define _IQ8exp(A) exp(A) #define _IQ7exp(A) exp(A) #define _IQ6exp(A) exp(A) #define _IQ5exp(A) exp(A) #define _IQ4exp(A) exp(A) #define _IQ3exp(A) exp(A) #define _IQ2exp(A) exp(A) #define _IQ1exp(A) exp(A) #define _IQexp(A) exp(A) //***************************************************************************** // // Computes 2^x of an IQ number. // //***************************************************************************** #define _IQ30exp2(A) exp2(A) #define _IQ29exp2(A) exp2(A) #define _IQ28exp2(A) exp2(A) #define _IQ27exp2(A) exp2(A) #define _IQ26exp2(A) exp2(A) #define _IQ25exp2(A) exp2(A) #define _IQ24exp2(A) exp2(A) #define _IQ23exp2(A) exp2(A) #define _IQ22exp2(A) exp2(A) #define _IQ21exp2(A) exp2(A) #define _IQ20exp2(A) exp2(A) #define _IQ19exp2(A) exp2(A) #define _IQ18exp2(A) exp2(A) #define _IQ17exp2(A) exp2(A) #define _IQ16exp2(A) exp2(A) #define _IQ15exp2(A) exp2(A) #define _IQ14exp2(A) exp2(A) #define _IQ13exp2(A) exp2(A) #define _IQ12exp2(A) exp2(A) #define _IQ11exp2(A) exp2(A) #define _IQ10exp2(A) exp2(A) #define _IQ9exp2(A) exp2(A) #define _IQ8exp2(A) exp2(A) #define _IQ7exp2(A) exp2(A) #define _IQ6exp2(A) exp2(A) #define _IQ5exp2(A) exp2(A) #define _IQ4exp2(A) exp2(A) #define _IQ3exp2(A) exp2(A) #define _IQ2exp2(A) exp2(A) #define _IQ1exp2(A) exp2(A) #define _IQexp2(A) exp2(A) //***************************************************************************** // // Returns the integer portion of an IQ number. // //***************************************************************************** #define _IQ30int(A) ((long)(A)) #define _IQ29int(A) ((long)(A)) #define _IQ28int(A) ((long)(A)) #define _IQ27int(A) ((long)(A)) #define _IQ26int(A) ((long)(A)) #define _IQ25int(A) ((long)(A)) #define _IQ24int(A) ((long)(A)) #define _IQ23int(A) ((long)(A)) #define _IQ22int(A) ((long)(A)) #define _IQ21int(A) ((long)(A)) #define _IQ20int(A) ((long)(A)) #define _IQ19int(A) ((long)(A)) #define _IQ18int(A) ((long)(A)) #define _IQ17int(A) ((long)(A)) #define _IQ16int(A) ((long)(A)) #define _IQ15int(A) ((long)(A)) #define _IQ14int(A) ((long)(A)) #define _IQ13int(A) ((long)(A)) #define _IQ12int(A) ((long)(A)) #define _IQ11int(A) ((long)(A)) #define _IQ10int(A) ((long)(A)) #define _IQ9int(A) ((long)(A)) #define _IQ8int(A) ((long)(A)) #define _IQ7int(A) ((long)(A)) #define _IQ6int(A) ((long)(A)) #define _IQ5int(A) ((long)(A)) #define _IQ4int(A) ((long)(A)) #define _IQ3int(A) ((long)(A)) #define _IQ2int(A) ((long)(A)) #define _IQ1int(A) ((long)(A)) #define _IQint(A) ((long)(A)) //***************************************************************************** // // Computes the fractional portion of an IQ number. // //***************************************************************************** #define _IQ30frac(A) ((A) - (float)((long)(A))) #define _IQ29frac(A) ((A) - (float)((long)(A))) #define _IQ28frac(A) ((A) - (float)((long)(A))) #define _IQ27frac(A) ((A) - (float)((long)(A))) #define _IQ26frac(A) ((A) - (float)((long)(A))) #define _IQ25frac(A) ((A) - (float)((long)(A))) #define _IQ24frac(A) ((A) - (float)((long)(A))) #define _IQ23frac(A) ((A) - (float)((long)(A))) #define _IQ22frac(A) ((A) - (float)((long)(A))) #define _IQ21frac(A) ((A) - (float)((long)(A))) #define _IQ20frac(A) ((A) - (float)((long)(A))) #define _IQ19frac(A) ((A) - (float)((long)(A))) #define _IQ18frac(A) ((A) - (float)((long)(A))) #define _IQ17frac(A) ((A) - (float)((long)(A))) #define _IQ16frac(A) ((A) - (float)((long)(A))) #define _IQ15frac(A) ((A) - (float)((long)(A))) #define _IQ14frac(A) ((A) - (float)((long)(A))) #define _IQ13frac(A) ((A) - (float)((long)(A))) #define _IQ12frac(A) ((A) - (float)((long)(A))) #define _IQ11frac(A) ((A) - (float)((long)(A))) #define _IQ10frac(A) ((A) - (float)((long)(A))) #define _IQ9frac(A) ((A) - (float)((long)(A))) #define _IQ8frac(A) ((A) - (float)((long)(A))) #define _IQ7frac(A) ((A) - (float)((long)(A))) #define _IQ6frac(A) ((A) - (float)((long)(A))) #define _IQ5frac(A) ((A) - (float)((long)(A))) #define _IQ4frac(A) ((A) - (float)((long)(A))) #define _IQ3frac(A) ((A) - (float)((long)(A))) #define _IQ2frac(A) ((A) - (float)((long)(A))) #define _IQ1frac(A) ((A) - (float)((long)(A))) #define _IQfrac(A) ((A) - (float)((long)(A))) //***************************************************************************** // // Multiplies two IQ numbers in the specified IQ formats, returning the result // in another IQ format. // //***************************************************************************** #define _IQ30mpyIQX(A, IQA, B, IQB) ((A) * (B)) #define _IQ29mpyIQX(A, IQA, B, IQB) ((A) * (B)) #define _IQ28mpyIQX(A, IQA, B, IQB) ((A) * (B)) #define _IQ27mpyIQX(A, IQA, B, IQB) ((A) * (B)) #define _IQ26mpyIQX(A, IQA, B, IQB) ((A) * (B)) #define _IQ25mpyIQX(A, IQA, B, IQB) ((A) * (B)) #define _IQ24mpyIQX(A, IQA, B, IQB) ((A) * (B)) #define _IQ23mpyIQX(A, IQA, B, IQB) ((A) * (B)) #define _IQ22mpyIQX(A, IQA, B, IQB) ((A) * (B)) #define _IQ21mpyIQX(A, IQA, B, IQB) ((A) * (B)) #define _IQ20mpyIQX(A, IQA, B, IQB) ((A) * (B)) #define _IQ19mpyIQX(A, IQA, B, IQB) ((A) * (B)) #define _IQ18mpyIQX(A, IQA, B, IQB) ((A) * (B)) #define _IQ17mpyIQX(A, IQA, B, IQB) ((A) * (B)) #define _IQ16mpyIQX(A, IQA, B, IQB) ((A) * (B)) #define _IQ15mpyIQX(A, IQA, B, IQB) ((A) * (B)) #define _IQ14mpyIQX(A, IQA, B, IQB) ((A) * (B)) #define _IQ13mpyIQX(A, IQA, B, IQB) ((A) * (B)) #define _IQ12mpyIQX(A, IQA, B, IQB) ((A) * (B)) #define _IQ11mpyIQX(A, IQA, B, IQB) ((A) * (B)) #define _IQ10mpyIQX(A, IQA, B, IQB) ((A) * (B)) #define _IQ9mpyIQX(A, IQA, B, IQB) ((A) * (B)) #define _IQ8mpyIQX(A, IQA, B, IQB) ((A) * (B)) #define _IQ7mpyIQX(A, IQA, B, IQB) ((A) * (B)) #define _IQ6mpyIQX(A, IQA, B, IQB) ((A) * (B)) #define _IQ5mpyIQX(A, IQA, B, IQB) ((A) * (B)) #define _IQ4mpyIQX(A, IQA, B, IQB) ((A) * (B)) #define _IQ3mpyIQX(A, IQA, B, IQB) ((A) * (B)) #define _IQ2mpyIQX(A, IQA, B, IQB) ((A) * (B)) #define _IQ1mpyIQX(A, IQA, B, IQB) ((A) * (B)) #define _IQmpyIQX(A, IQA, B, IQB) ((A) * (B)) //***************************************************************************** // // Multiplies an IQ number by an integer. // //***************************************************************************** #define _IQ30mpyI32(A, B) ((A) * (float)(B)) #define _IQ29mpyI32(A, B) ((A) * (float)(B)) #define _IQ28mpyI32(A, B) ((A) * (float)(B)) #define _IQ27mpyI32(A, B) ((A) * (float)(B)) #define _IQ26mpyI32(A, B) ((A) * (float)(B)) #define _IQ25mpyI32(A, B) ((A) * (float)(B)) #define _IQ24mpyI32(A, B) ((A) * (float)(B)) #define _IQ23mpyI32(A, B) ((A) * (float)(B)) #define _IQ22mpyI32(A, B) ((A) * (float)(B)) #define _IQ21mpyI32(A, B) ((A) * (float)(B)) #define _IQ20mpyI32(A, B) ((A) * (float)(B)) #define _IQ19mpyI32(A, B) ((A) * (float)(B)) #define _IQ18mpyI32(A, B) ((A) * (float)(B)) #define _IQ17mpyI32(A, B) ((A) * (float)(B)) #define _IQ16mpyI32(A, B) ((A) * (float)(B)) #define _IQ15mpyI32(A, B) ((A) * (float)(B)) #define _IQ14mpyI32(A, B) ((A) * (float)(B)) #define _IQ13mpyI32(A, B) ((A) * (float)(B)) #define _IQ12mpyI32(A, B) ((A) * (float)(B)) #define _IQ11mpyI32(A, B) ((A) * (float)(B)) #define _IQ10mpyI32(A, B) ((A) * (float)(B)) #define _IQ9mpyI32(A, B) ((A) * (float)(B)) #define _IQ8mpyI32(A, B) ((A) * (float)(B)) #define _IQ7mpyI32(A, B) ((A) * (float)(B)) #define _IQ6mpyI32(A, B) ((A) * (float)(B)) #define _IQ5mpyI32(A, B) ((A) * (float)(B)) #define _IQ4mpyI32(A, B) ((A) * (float)(B)) #define _IQ3mpyI32(A, B) ((A) * (float)(B)) #define _IQ2mpyI32(A, B) ((A) * (float)(B)) #define _IQ1mpyI32(A, B) ((A) * (float)(B)) #define _IQmpyI32(A, B) ((A) * (float)(B)) //***************************************************************************** // // Multiplies an IQ number by an integer, and returns the integer portion. // //***************************************************************************** #define _IQ30mpyI32int(A, B) ((long)((A) * (float)(B))) #define _IQ29mpyI32int(A, B) ((long)((A) * (float)(B))) #define _IQ28mpyI32int(A, B) ((long)((A) * (float)(B))) #define _IQ27mpyI32int(A, B) ((long)((A) * (float)(B))) #define _IQ26mpyI32int(A, B) ((long)((A) * (float)(B))) #define _IQ25mpyI32int(A, B) ((long)((A) * (float)(B))) #define _IQ24mpyI32int(A, B) ((long)((A) * (float)(B))) #define _IQ23mpyI32int(A, B) ((long)((A) * (float)(B))) #define _IQ22mpyI32int(A, B) ((long)((A) * (float)(B))) #define _IQ21mpyI32int(A, B) ((long)((A) * (float)(B))) #define _IQ20mpyI32int(A, B) ((long)((A) * (float)(B))) #define _IQ19mpyI32int(A, B) ((long)((A) * (float)(B))) #define _IQ18mpyI32int(A, B) ((long)((A) * (float)(B))) #define _IQ17mpyI32int(A, B) ((long)((A) * (float)(B))) #define _IQ16mpyI32int(A, B) ((long)((A) * (float)(B))) #define _IQ15mpyI32int(A, B) ((long)((A) * (float)(B))) #define _IQ14mpyI32int(A, B) ((long)((A) * (float)(B))) #define _IQ13mpyI32int(A, B) ((long)((A) * (float)(B))) #define _IQ12mpyI32int(A, B) ((long)((A) * (float)(B))) #define _IQ11mpyI32int(A, B) ((long)((A) * (float)(B))) #define _IQ10mpyI32int(A, B) ((long)((A) * (float)(B))) #define _IQ9mpyI32int(A, B) ((long)((A) * (float)(B))) #define _IQ8mpyI32int(A, B) ((long)((A) * (float)(B))) #define _IQ7mpyI32int(A, B) ((long)((A) * (float)(B))) #define _IQ6mpyI32int(A, B) ((long)((A) * (float)(B))) #define _IQ5mpyI32int(A, B) ((long)((A) * (float)(B))) #define _IQ4mpyI32int(A, B) ((long)((A) * (float)(B))) #define _IQ3mpyI32int(A, B) ((long)((A) * (float)(B))) #define _IQ2mpyI32int(A, B) ((long)((A) * (float)(B))) #define _IQ1mpyI32int(A, B) ((long)((A) * (float)(B))) #define _IQmpyI32int(A, B) ((long)((A) * (float)(B))) //***************************************************************************** // // Multiplies an IQ number by an integer, and returns the fractional portion. // //***************************************************************************** #define _IQ30mpyI32frac(A, B) (((A) * (B)) - \ (float)((long)((A) * (float)(B)))) #define _IQ29mpyI32frac(A, B) (((A) * (B)) - \ (float)((long)((A) * (float)(B)))) #define _IQ28mpyI32frac(A, B) (((A) * (B)) - \ (float)((long)((A) * (float)(B)))) #define _IQ27mpyI32frac(A, B) (((A) * (B)) - \ (float)((long)((A) * (float)(B)))) #define _IQ26mpyI32frac(A, B) (((A) * (B)) - \ (float)((long)((A) * (float)(B)))) #define _IQ25mpyI32frac(A, B) (((A) * (B)) - \ (float)((long)((A) * (float)(B)))) #define _IQ24mpyI32frac(A, B) (((A) * (B)) - \ (float)((long)((A) * (float)(B)))) #define _IQ23mpyI32frac(A, B) (((A) * (B)) - \ (float)((long)((A) * (float)(B)))) #define _IQ22mpyI32frac(A, B) (((A) * (B)) - \ (float)((long)((A) * (float)(B)))) #define _IQ21mpyI32frac(A, B) (((A) * (B)) - \ (float)((long)((A) * (float)(B)))) #define _IQ20mpyI32frac(A, B) (((A) * (B)) - \ (float)((long)((A) * (float)(B)))) #define _IQ19mpyI32frac(A, B) (((A) * (B)) - \ (float)((long)((A) * (float)(B)))) #define _IQ18mpyI32frac(A, B) (((A) * (B)) - \ (float)((long)((A) * (float)(B)))) #define _IQ17mpyI32frac(A, B) (((A) * (B)) - \ (float)((long)((A) * (float)(B)))) #define _IQ16mpyI32frac(A, B) (((A) * (B)) - \ (float)((long)((A) * (float)(B)))) #define _IQ15mpyI32frac(A, B) (((A) * (B)) - \ (float)((long)((A) * (float)(B)))) #define _IQ14mpyI32frac(A, B) (((A) * (B)) - \ (float)((long)((A) * (float)(B)))) #define _IQ13mpyI32frac(A, B) (((A) * (B)) - \ (float)((long)((A) * (float)(B)))) #define _IQ12mpyI32frac(A, B) (((A) * (B)) - \ (float)((long)((A) * (float)(B)))) #define _IQ11mpyI32frac(A, B) (((A) * (B)) - \ (float)((long)((A) * (float)(B)))) #define _IQ10mpyI32frac(A, B) (((A) * (B)) - \ (float)((long)((A) * (float)(B)))) #define _IQ9mpyI32frac(A, B) (((A) * (B)) - \ (float)((long)((A) * (float)(B)))) #define _IQ8mpyI32frac(A, B) (((A) * (B)) - \ (float)((long)((A) * (float)(B)))) #define _IQ7mpyI32frac(A, B) (((A) * (B)) - \ (float)((long)((A) * (float)(B)))) #define _IQ6mpyI32frac(A, B) (((A) * (B)) - \ (float)((long)((A) * (float)(B)))) #define _IQ5mpyI32frac(A, B) (((A) * (B)) - \ (float)((long)((A) * (float)(B)))) #define _IQ4mpyI32frac(A, B) (((A) * (B)) - \ (float)((long)((A) * (float)(B)))) #define _IQ3mpyI32frac(A, B) (((A) * (B)) - \ (float)((long)((A) * (float)(B)))) #define _IQ2mpyI32frac(A, B) (((A) * (B)) - \ (float)((long)((A) * (float)(B)))) #define _IQ1mpyI32frac(A, B) (((A) * (B)) - \ (float)((long)((A) * (float)(B)))) #define _IQmpyI32frac(A, B) (((A) * (B)) - \ (float)((long)((A) * (float)(B)))) //***************************************************************************** // // Computes the square root of A^2 + B^2 using IQ numbers. // //***************************************************************************** #define _IQ30mag(A, B) sqrt(((A) * (A)) + ((B) * (B))) #define _IQ29mag(A, B) sqrt(((A) * (A)) + ((B) * (B))) #define _IQ28mag(A, B) sqrt(((A) * (A)) + ((B) * (B))) #define _IQ27mag(A, B) sqrt(((A) * (A)) + ((B) * (B))) #define _IQ26mag(A, B) sqrt(((A) * (A)) + ((B) * (B))) #define _IQ25mag(A, B) sqrt(((A) * (A)) + ((B) * (B))) #define _IQ24mag(A, B) sqrt(((A) * (A)) + ((B) * (B))) #define _IQ23mag(A, B) sqrt(((A) * (A)) + ((B) * (B))) #define _IQ22mag(A, B) sqrt(((A) * (A)) + ((B) * (B))) #define _IQ21mag(A, B) sqrt(((A) * (A)) + ((B) * (B))) #define _IQ20mag(A, B) sqrt(((A) * (A)) + ((B) * (B))) #define _IQ19mag(A, B) sqrt(((A) * (A)) + ((B) * (B))) #define _IQ18mag(A, B) sqrt(((A) * (A)) + ((B) * (B))) #define _IQ17mag(A, B) sqrt(((A) * (A)) + ((B) * (B))) #define _IQ16mag(A, B) sqrt(((A) * (A)) + ((B) * (B))) #define _IQ15mag(A, B) sqrt(((A) * (A)) + ((B) * (B))) #define _IQ14mag(A, B) sqrt(((A) * (A)) + ((B) * (B))) #define _IQ13mag(A, B) sqrt(((A) * (A)) + ((B) * (B))) #define _IQ12mag(A, B) sqrt(((A) * (A)) + ((B) * (B))) #define _IQ11mag(A, B) sqrt(((A) * (A)) + ((B) * (B))) #define _IQ10mag(A, B) sqrt(((A) * (A)) + ((B) * (B))) #define _IQ9mag(A, B) sqrt(((A) * (A)) + ((B) * (B))) #define _IQ8mag(A, B) sqrt(((A) * (A)) + ((B) * (B))) #define _IQ7mag(A, B) sqrt(((A) * (A)) + ((B) * (B))) #define _IQ6mag(A, B) sqrt(((A) * (A)) + ((B) * (B))) #define _IQ5mag(A, B) sqrt(((A) * (A)) + ((B) * (B))) #define _IQ4mag(A, B) sqrt(((A) * (A)) + ((B) * (B))) #define _IQ3mag(A, B) sqrt(((A) * (A)) + ((B) * (B))) #define _IQ2mag(A, B) sqrt(((A) * (A)) + ((B) * (B))) #define _IQ1mag(A, B) sqrt(((A) * (A)) + ((B) * (B))) #define _IQmag(A, B) sqrt(((A) * (A)) + ((B) * (B))) //***************************************************************************** // // Converts a string into an IQ number. // //***************************************************************************** #define _atoIQ30(A) atof(A) #define _atoIQ29(A) atof(A) #define _atoIQ28(A) atof(A) #define _atoIQ27(A) atof(A) #define _atoIQ26(A) atof(A) #define _atoIQ25(A) atof(A) #define _atoIQ24(A) atof(A) #define _atoIQ23(A) atof(A) #define _atoIQ22(A) atof(A) #define _atoIQ21(A) atof(A) #define _atoIQ20(A) atof(A) #define _atoIQ19(A) atof(A) #define _atoIQ18(A) atof(A) #define _atoIQ17(A) atof(A) #define _atoIQ16(A) atof(A) #define _atoIQ15(A) atof(A) #define _atoIQ14(A) atof(A) #define _atoIQ13(A) atof(A) #define _atoIQ12(A) atof(A) #define _atoIQ11(A) atof(A) #define _atoIQ10(A) atof(A) #define _atoIQ9(A) atof(A) #define _atoIQ8(A) atof(A) #define _atoIQ7(A) atof(A) #define _atoIQ6(A) atof(A) #define _atoIQ5(A) atof(A) #define _atoIQ4(A) atof(A) #define _atoIQ3(A) atof(A) #define _atoIQ2(A) atof(A) #define _atoIQ1(A) atof(A) #define _atoIQ(A) atof(A) //***************************************************************************** // // Converts an IQ number into a string. // //***************************************************************************** #define _IQ30toa(A, B, C) sprintf(A, B, C) #define _IQ29toa(A, B, C) sprintf(A, B, C) #define _IQ28toa(A, B, C) sprintf(A, B, C) #define _IQ27toa(A, B, C) sprintf(A, B, C) #define _IQ26toa(A, B, C) sprintf(A, B, C) #define _IQ25toa(A, B, C) sprintf(A, B, C) #define _IQ24toa(A, B, C) sprintf(A, B, C) #define _IQ23toa(A, B, C) sprintf(A, B, C) #define _IQ22toa(A, B, C) sprintf(A, B, C) #define _IQ21toa(A, B, C) sprintf(A, B, C) #define _IQ20toa(A, B, C) sprintf(A, B, C) #define _IQ19toa(A, B, C) sprintf(A, B, C) #define _IQ18toa(A, B, C) sprintf(A, B, C) #define _IQ17toa(A, B, C) sprintf(A, B, C) #define _IQ16toa(A, B, C) sprintf(A, B, C) #define _IQ15toa(A, B, C) sprintf(A, B, C) #define _IQ14toa(A, B, C) sprintf(A, B, C) #define _IQ13toa(A, B, C) sprintf(A, B, C) #define _IQ12toa(A, B, C) sprintf(A, B, C) #define _IQ11toa(A, B, C) sprintf(A, B, C) #define _IQ10toa(A, B, C) sprintf(A, B, C) #define _IQ9toa(A, B, C) sprintf(A, B, C) #define _IQ8toa(A, B, C) sprintf(A, B, C) #define _IQ7toa(A, B, C) sprintf(A, B, C) #define _IQ6toa(A, B, C) sprintf(A, B, C) #define _IQ5toa(A, B, C) sprintf(A, B, C) #define _IQ4toa(A, B, C) sprintf(A, B, C) #define _IQ3toa(A, B, C) sprintf(A, B, C) #define _IQ2toa(A, B, C) sprintf(A, B, C) #define _IQ1toa(A, B, C) sprintf(A, B, C) #define _IQtoa(A, B, C) sprintf(A, B, C) //***************************************************************************** // // Computes the absolute value of an IQ number. // //***************************************************************************** #define _IQ30abs(A) fabs(A) #define _IQ29abs(A) fabs(A) #define _IQ28abs(A) fabs(A) #define _IQ27abs(A) fabs(A) #define _IQ26abs(A) fabs(A) #define _IQ25abs(A) fabs(A) #define _IQ24abs(A) fabs(A) #define _IQ23abs(A) fabs(A) #define _IQ22abs(A) fabs(A) #define _IQ21abs(A) fabs(A) #define _IQ20abs(A) fabs(A) #define _IQ19abs(A) fabs(A) #define _IQ18abs(A) fabs(A) #define _IQ17abs(A) fabs(A) #define _IQ16abs(A) fabs(A) #define _IQ15abs(A) fabs(A) #define _IQ14abs(A) fabs(A) #define _IQ13abs(A) fabs(A) #define _IQ12abs(A) fabs(A) #define _IQ11abs(A) fabs(A) #define _IQ10abs(A) fabs(A) #define _IQ9abs(A) fabs(A) #define _IQ8abs(A) fabs(A) #define _IQ7abs(A) fabs(A) #define _IQ6abs(A) fabs(A) #define _IQ5abs(A) fabs(A) #define _IQ4abs(A) fabs(A) #define _IQ3abs(A) fabs(A) #define _IQ2abs(A) fabs(A) #define _IQ1abs(A) fabs(A) #define _IQabs(A) fabs(A) //***************************************************************************** // // Computes the log value of an IQ number. // //***************************************************************************** #define _IQ30log(A) log(A) #define _IQ29log(A) log(A) #define _IQ28log(A) log(A) #define _IQ27log(A) log(A) #define _IQ26log(A) log(A) #define _IQ25log(A) log(A) #define _IQ24log(A) log(A) #define _IQ23log(A) log(A) #define _IQ22log(A) log(A) #define _IQ21log(A) log(A) #define _IQ20log(A) log(A) #define _IQ19log(A) log(A) #define _IQ18log(A) log(A) #define _IQ17log(A) log(A) #define _IQ16log(A) log(A) #define _IQ15log(A) log(A) #define _IQ14log(A) log(A) #define _IQ13log(A) log(A) #define _IQ12log(A) log(A) #define _IQ11log(A) log(A) #define _IQ10log(A) log(A) #define _IQ9log(A) log(A) #define _IQ8log(A) log(A) #define _IQ7log(A) log(A) #define _IQ6log(A) log(A) #define _IQ5log(A) log(A) #define _IQ4log(A) log(A) #define _IQ3log(A) log(A) #define _IQ2log(A) log(A) #define _IQ1log(A) log(A) #define _IQlog(A) log(A) #define _IQ30log10(A) log10(A) #define _IQ29log10(A) log10(A) #define _IQ28log10(A) log10(A) #define _IQ27log10(A) log10(A) #define _IQ26log10(A) log10(A) #define _IQ25log10(A) log10(A) #define _IQ24log10(A) log10(A) #define _IQ23log10(A) log10(A) #define _IQ22log10(A) log10(A) #define _IQ21log10(A) log10(A) #define _IQ20log10(A) log10(A) #define _IQ19log10(A) log10(A) #define _IQ18log10(A) log10(A) #define _IQ17log10(A) log10(A) #define _IQ16log10(A) log10(A) #define _IQ15log10(A) log10(A) #define _IQ14log10(A) log10(A) #define _IQ13log10(A) log10(A) #define _IQ12log10(A) log10(A) #define _IQ11log10(A) log10(A) #define _IQ10log10(A) log10(A) #define _IQ9log10(A) log10(A) #define _IQ8log10(A) log10(A) #define _IQ7log10(A) log10(A) #define _IQ6log10(A) log10(A) #define _IQ5log10(A) log10(A) #define _IQ4log10(A) log10(A) #define _IQ3log10(A) log10(A) #define _IQ2log10(A) log10(A) #define _IQ1log10(A) log10(A) #define _IQlog10(A) log10(A) #endif // MATH_TYPE == IQ_MATH //***************************************************************************** // // Mark the end of the C bindings section for C++ compilers. // //***************************************************************************** #ifdef __cplusplus } #endif #endif // __IQMATHLIB_H__