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Diffstat (limited to 'comp_prim.h')
| -rw-r--r-- | comp_prim.h | 141 |
1 files changed, 141 insertions, 0 deletions
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| 1 | /*---------------------------------------------------------------------------*\ | ||
| 2 | |||
| 3 | FILE........: comp_prim.h | ||
| 4 | AUTHOR......: David Rowe | ||
| 5 | DATE CREATED: Marh 2015 | ||
| 6 | |||
| 7 | Complex number maths primitives. | ||
| 8 | |||
| 9 | \*---------------------------------------------------------------------------*/ | ||
| 10 | |||
| 11 | /* | ||
| 12 | Copyright (C) 2015 David Rowe | ||
| 13 | |||
| 14 | All rights reserved. | ||
| 15 | |||
| 16 | This program is free software; you can redistribute it and/or modify | ||
| 17 | it under the terms of the GNU Lesser General Public License version 2.1, as | ||
| 18 | published by the Free Software Foundation. This program is | ||
| 19 | distributed in the hope that it will be useful, but WITHOUT ANY | ||
| 20 | WARRANTY; without even the implied warranty of MERCHANTABILITY or | ||
| 21 | FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public | ||
| 22 | License for more details. | ||
| 23 | |||
| 24 | You should have received a copy of the GNU Lesser General Public License | ||
| 25 | along with this program; if not, see <http://www.gnu.org/licenses/>. | ||
| 26 | */ | ||
| 27 | |||
| 28 | #ifndef __COMP_PRIM__ | ||
| 29 | #define __COMP_PRIM__ | ||
| 30 | |||
| 31 | /*---------------------------------------------------------------------------*\ | ||
| 32 | |||
| 33 | FUNCTIONS | ||
| 34 | |||
| 35 | \*---------------------------------------------------------------------------*/ | ||
| 36 | |||
| 37 | inline static COMP cneg(COMP a) | ||
| 38 | { | ||
| 39 | COMP res; | ||
| 40 | |||
| 41 | res.real = -a.real; | ||
| 42 | res.imag = -a.imag; | ||
| 43 | |||
| 44 | return res; | ||
| 45 | } | ||
| 46 | |||
| 47 | inline static COMP cconj(COMP a) | ||
| 48 | { | ||
| 49 | COMP res; | ||
| 50 | |||
| 51 | res.real = a.real; | ||
| 52 | res.imag = -a.imag; | ||
| 53 | |||
| 54 | return res; | ||
| 55 | } | ||
| 56 | |||
| 57 | inline static COMP cmult(COMP a, COMP b) | ||
| 58 | { | ||
| 59 | COMP res; | ||
| 60 | |||
| 61 | res.real = a.real*b.real - a.imag*b.imag; | ||
| 62 | res.imag = a.real*b.imag + a.imag*b.real; | ||
| 63 | |||
| 64 | return res; | ||
| 65 | } | ||
| 66 | |||
| 67 | inline static COMP fcmult(float a, COMP b) | ||
| 68 | { | ||
| 69 | COMP res; | ||
| 70 | |||
| 71 | res.real = a*b.real; | ||
| 72 | res.imag = a*b.imag; | ||
| 73 | |||
| 74 | return res; | ||
| 75 | } | ||
| 76 | |||
| 77 | inline static COMP cadd(COMP a, COMP b) | ||
| 78 | { | ||
| 79 | COMP res; | ||
| 80 | |||
| 81 | res.real = a.real + b.real; | ||
| 82 | res.imag = a.imag + b.imag; | ||
| 83 | |||
| 84 | return res; | ||
| 85 | } | ||
| 86 | |||
| 87 | inline static float cabsolute(COMP a) | ||
| 88 | { | ||
| 89 | return sqrtf((a.real * a.real) + (a.imag * a.imag) ); | ||
| 90 | } | ||
| 91 | |||
| 92 | /* | ||
| 93 | * Euler's formula in a new convenient function | ||
| 94 | */ | ||
| 95 | inline static COMP comp_exp_j(float phi){ | ||
| 96 | COMP res; | ||
| 97 | res.real = cosf(phi); | ||
| 98 | res.imag = sinf(phi); | ||
| 99 | return res; | ||
| 100 | } | ||
| 101 | |||
| 102 | /* | ||
| 103 | * Quick and easy complex 0 | ||
| 104 | */ | ||
| 105 | inline static COMP comp0(){ | ||
| 106 | COMP res; | ||
| 107 | res.real = 0; | ||
| 108 | res.imag = 0; | ||
| 109 | return res; | ||
| 110 | } | ||
| 111 | |||
| 112 | /* | ||
| 113 | * Quick and easy complex subtract | ||
| 114 | */ | ||
| 115 | inline static COMP csub(COMP a, COMP b){ | ||
| 116 | COMP res; | ||
| 117 | res.real = a.real-b.real; | ||
| 118 | res.imag = a.imag-b.imag; | ||
| 119 | return res; | ||
| 120 | } | ||
| 121 | |||
| 122 | /* | ||
| 123 | * Compare the magnitude of a and b. if |a|>|b|, return true, otw false. | ||
| 124 | * This needs no square roots | ||
| 125 | */ | ||
| 126 | inline static int comp_mag_gt(COMP a,COMP b){ | ||
| 127 | return ((a.real*a.real)+(a.imag*a.imag)) > ((b.real*b.real)+(b.imag*b.imag)); | ||
| 128 | } | ||
| 129 | |||
| 130 | /* | ||
| 131 | * Normalize a complex number's magnitude to 1 | ||
| 132 | */ | ||
| 133 | inline static COMP comp_normalize(COMP a){ | ||
| 134 | COMP b; | ||
| 135 | float av = cabsolute(a); | ||
| 136 | b.real = a.real/av; | ||
| 137 | b.imag = a.imag/av; | ||
| 138 | return b; | ||
| 139 | } | ||
| 140 | |||
| 141 | #endif | ||
