| 1 |
17 |
draunzer |
/////////////////////////////////////////////////////////////////////
|
| 2 |
|
|
//// ////
|
| 3 |
|
|
//// ////
|
| 4 |
|
|
//// Trigonometric functions using double precision Floating Point Unit ////
|
| 5 |
|
|
//// ////
|
| 6 |
|
|
//// Author: Muni Aditya ////
|
| 7 |
|
|
//// muni_aditya@yahoo.com ////
|
| 8 |
|
|
//// ////
|
| 9 |
|
|
/////////////////////////////////////////////////////////////////////
|
| 10 |
|
|
//// ////
|
| 11 |
|
|
//// Copyright (C) 2013 Muni Aditya ////
|
| 12 |
|
|
//// muni_aditya@yahoo.com ////
|
| 13 |
|
|
//// ////
|
| 14 |
|
|
//// This source file may be used and distributed without ////
|
| 15 |
|
|
//// restriction provided that this copyright statement is not ////
|
| 16 |
|
|
//// removed from the file and that any derivative work contains ////
|
| 17 |
|
|
//// the original copyright notice and the associated disclaimer.////
|
| 18 |
|
|
//// ////
|
| 19 |
|
|
//// THIS SOFTWARE IS PROVIDED ``AS IS'' AND WITHOUT ANY ////
|
| 20 |
|
|
//// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED ////
|
| 21 |
|
|
//// TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS ////
|
| 22 |
|
|
//// FOR A PARTICULAR PURPOSE. IN NO EVENT SHALL THE AUTHOR ////
|
| 23 |
|
|
//// OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, ////
|
| 24 |
|
|
//// INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES ////
|
| 25 |
|
|
//// (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE ////
|
| 26 |
|
|
//// GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR ////
|
| 27 |
|
|
//// BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF ////
|
| 28 |
|
|
//// LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT ////
|
| 29 |
|
|
//// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT ////
|
| 30 |
|
|
//// OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE ////
|
| 31 |
|
|
//// POSSIBILITY OF SUCH DAMAGE. ////
|
| 32 |
|
|
//// ////
|
| 33 |
|
|
/////////////////////////////////////////////////////////////////////
|
| 34 |
|
|
|
| 35 |
|
|
`timescale 1ns / 100ps
|
| 36 |
|
|
|
| 37 |
|
|
`define INPUT_WIDTH 32
|
| 38 |
|
|
|
| 39 |
|
|
module cotangent_lut (quad, enable, degrees, data, rst, clk);
|
| 40 |
|
|
|
| 41 |
|
|
input [1:0] quad;
|
| 42 |
|
|
input enable;
|
| 43 |
|
|
input rst;
|
| 44 |
|
|
input [`INPUT_WIDTH-1:0] degrees ;
|
| 45 |
|
|
input clk;
|
| 46 |
|
|
|
| 47 |
|
|
//////////////inputs/////////////////
|
| 48 |
|
|
|
| 49 |
|
|
output reg [63:0] data;
|
| 50 |
|
|
|
| 51 |
|
|
//////////////output/////////////////
|
| 52 |
|
|
|
| 53 |
|
|
always@(posedge clk )
|
| 54 |
|
|
|
| 55 |
|
|
// needs to be positive in first and third quadrants
|
| 56 |
|
|
|
| 57 |
|
|
begin
|
| 58 |
|
|
if (quad == 2'b01 || quad == 2'b11)
|
| 59 |
|
|
begin
|
| 60 |
|
|
data[63] <= 1'b1;
|
| 61 |
|
|
end
|
| 62 |
|
|
|
| 63 |
|
|
else
|
| 64 |
|
|
begin
|
| 65 |
|
|
data[63] <= 1'b0;
|
| 66 |
|
|
end
|
| 67 |
|
|
|
| 68 |
|
|
|
| 69 |
|
|
|
| 70 |
|
|
if(enable)
|
| 71 |
|
|
case (degrees)
|
| 72 |
|
|
|
| 73 |
|
|
//look up table
|
| 74 |
|
|
|
| 75 |
|
|
`INPUT_WIDTH'd0 : data[62:0] <= 64'h7ff0000000000000;
|
| 76 |
|
|
`INPUT_WIDTH'd1 : data[62:0] <= 64'h404ca51d76749a71;
|
| 77 |
|
|
`INPUT_WIDTH'd2 : data[62:0] <= 64'h403ca2e17ec2185c;
|
| 78 |
|
|
`INPUT_WIDTH'd3 : data[62:0] <= 64'h403314c55fbc4c67;
|
| 79 |
|
|
`INPUT_WIDTH'd4 : data[62:0] <= 64'h402c99f0ed772d4c;
|
| 80 |
|
|
`INPUT_WIDTH'd5 : data[62:0] <= 64'h4026dc2fd0bfdbe2;
|
| 81 |
|
|
`INPUT_WIDTH'd6 : data[62:0] <= 64'h4023075ac71a38c7;
|
| 82 |
|
|
`INPUT_WIDTH'd7 : data[62:0] <= 64'h402049e7c666e3fe;
|
| 83 |
|
|
`INPUT_WIDTH'd8 : data[62:0] <= 64'h401c76237b025ae8;
|
| 84 |
|
|
`INPUT_WIDTH'd9 : data[62:0] <= 64'h4019414813ba662c;
|
| 85 |
|
|
`INPUT_WIDTH'd10 : data[62:0] <= 64'h4016af648056a136;
|
| 86 |
|
|
`INPUT_WIDTH'd11 : data[62:0] <= 64'h40149405f7cc644c;
|
| 87 |
|
|
`INPUT_WIDTH'd12 : data[62:0] <= 64'h4012d18a8e2ff28c;
|
| 88 |
|
|
`INPUT_WIDTH'd13 : data[62:0] <= 64'h4011536e695dda95;
|
| 89 |
|
|
`INPUT_WIDTH'd14 : data[62:0] <= 64'h40100b0a2833d3c4;
|
| 90 |
|
|
`INPUT_WIDTH'd15 : data[62:0] <= 64'h400ddb3d742c2656;
|
| 91 |
|
|
`INPUT_WIDTH'd16 : data[62:0] <= 64'h400be6398b3f2869;
|
| 92 |
|
|
`INPUT_WIDTH'd17 : data[62:0] <= 64'h400a2ab4c713671e;
|
| 93 |
|
|
`INPUT_WIDTH'd18 : data[62:0] <= 64'h40089f188bdcd7b0;
|
| 94 |
|
|
`INPUT_WIDTH'd19 : data[62:0] <= 64'h40073bd2e9a270e0;
|
| 95 |
|
|
`INPUT_WIDTH'd20 : data[62:0] <= 64'h4005fad570f872d9;
|
| 96 |
|
|
`INPUT_WIDTH'd21 : data[62:0] <= 64'h4004d738ef803784;
|
| 97 |
|
|
`INPUT_WIDTH'd22 : data[62:0] <= 64'h4003ccfa561175d6;
|
| 98 |
|
|
`INPUT_WIDTH'd23 : data[62:0] <= 64'h4002d8c9200b5686;
|
| 99 |
|
|
`INPUT_WIDTH'd24 : data[62:0] <= 64'h4001f7e220cc4172;
|
| 100 |
|
|
`INPUT_WIDTH'd25 : data[62:0] <= 64'h400127f33e8d12e5;
|
| 101 |
|
|
`INPUT_WIDTH'd26 : data[62:0] <= 64'h40006705b35391e8;
|
| 102 |
|
|
`INPUT_WIDTH'd27 : data[62:0] <= 64'h3fff66da45fee3f1;
|
| 103 |
|
|
`INPUT_WIDTH'd28 : data[62:0] <= 64'h3ffe1774a2562593;
|
| 104 |
|
|
`INPUT_WIDTH'd29 : data[62:0] <= 64'h3ffcdd612dd501f4;
|
| 105 |
|
|
`INPUT_WIDTH'd30 : data[62:0] <= 64'h3ffbb67ae8584cab;
|
| 106 |
|
|
`INPUT_WIDTH'd31 : data[62:0] <= 64'h3ffaa0e385c196ab;
|
| 107 |
|
|
`INPUT_WIDTH'd32 : data[62:0] <= 64'h3ff99af8610e4105;
|
| 108 |
|
|
`INPUT_WIDTH'd33 : data[62:0] <= 64'h3ff8a34971bd7010;
|
| 109 |
|
|
`INPUT_WIDTH'd34 : data[62:0] <= 64'h3ff7b891d9a169b4;
|
| 110 |
|
|
`INPUT_WIDTH'd35 : data[62:0] <= 64'h3ff6d9b1b96ce128;
|
| 111 |
|
|
`INPUT_WIDTH'd36 : data[62:0] <= 64'h3ff605a90c73ab79;
|
| 112 |
|
|
`INPUT_WIDTH'd37 : data[62:0] <= 64'h3ff53b9359d2f919;
|
| 113 |
|
|
`INPUT_WIDTH'd38 : data[62:0] <= 64'h3ff47aa413b0ee1e;
|
| 114 |
|
|
`INPUT_WIDTH'd39 : data[62:0] <= 64'h3ff3c2238553dcee;
|
| 115 |
|
|
`INPUT_WIDTH'd40 : data[62:0] <= 64'h3ff3116c3711527e;
|
| 116 |
|
|
`INPUT_WIDTH'd41 : data[62:0] <= 64'h3ff267e8b3f5da82;
|
| 117 |
|
|
`INPUT_WIDTH'd42 : data[62:0] <= 64'h3ff1c511a0db83e3;
|
| 118 |
|
|
`INPUT_WIDTH'd43 : data[62:0] <= 64'h3ff1286c17acf49b;
|
| 119 |
|
|
`INPUT_WIDTH'd44 : data[62:0] <= 64'h3ff091883bfbf42e;
|
| 120 |
|
|
`INPUT_WIDTH'd45 : data[62:0] <= 64'h3ff0000000000001;
|
| 121 |
|
|
`INPUT_WIDTH'd46 : data[62:0] <= 64'h3feee6ec253d2464;
|
| 122 |
|
|
`INPUT_WIDTH'd47 : data[62:0] <= 64'h3fedd729e0bf9cb6;
|
| 123 |
|
|
`INPUT_WIDTH'd48 : data[62:0] <= 64'h3fecd01c246e4060;
|
| 124 |
|
|
`INPUT_WIDTH'd49 : data[62:0] <= 64'h3febd1326bb88d13;
|
| 125 |
|
|
`INPUT_WIDTH'd50 : data[62:0] <= 64'h3fead9e7783fbf1e;
|
| 126 |
|
|
`INPUT_WIDTH'd51 : data[62:0] <= 64'h3fe9e9c0346ca839;
|
| 127 |
|
|
`INPUT_WIDTH'd52 : data[62:0] <= 64'h3fe9004ab6d5cc93;
|
| 128 |
|
|
`INPUT_WIDTH'd53 : data[62:0] <= 64'h3fe81d1d621eb711;
|
| 129 |
|
|
`INPUT_WIDTH'd54 : data[62:0] <= 64'h3fe73fd61d9df544;
|
| 130 |
|
|
`INPUT_WIDTH'd55 : data[62:0] <= 64'h3fe66819a3a0bf7b;
|
| 131 |
|
|
`INPUT_WIDTH'd56 : data[62:0] <= 64'h3fe59592e296c625;
|
| 132 |
|
|
`INPUT_WIDTH'd57 : data[62:0] <= 64'h3fe4c7f26ed1d60f;
|
| 133 |
|
|
`INPUT_WIDTH'd58 : data[62:0] <= 64'h3fe3feee02d72514;
|
| 134 |
|
|
`INPUT_WIDTH'd59 : data[62:0] <= 64'h3fe33a400c85af9f;
|
| 135 |
|
|
`INPUT_WIDTH'd60 : data[62:0] <= 64'h3fe279a74590331e;
|
| 136 |
|
|
`INPUT_WIDTH'd61 : data[62:0] <= 64'h3fe1bce655fbb9bf;
|
| 137 |
|
|
`INPUT_WIDTH'd62 : data[62:0] <= 64'h3fe103c37f7ebedc;
|
| 138 |
|
|
`INPUT_WIDTH'd63 : data[62:0] <= 64'h3fe04e0850c1dd5d;
|
| 139 |
|
|
`INPUT_WIDTH'd64 : data[62:0] <= 64'h3fdf3702bf455cf5;
|
| 140 |
|
|
`INPUT_WIDTH'd65 : data[62:0] <= 64'h3fddd7fc13699ab1;
|
| 141 |
|
|
`INPUT_WIDTH'd66 : data[62:0] <= 64'h3fdc7ea074a90a11;
|
| 142 |
|
|
`INPUT_WIDTH'd67 : data[62:0] <= 64'h3fdb2a986b66229e;
|
| 143 |
|
|
`INPUT_WIDTH'd68 : data[62:0] <= 64'h3fd9db90d0ac0d44;
|
| 144 |
|
|
`INPUT_WIDTH'd69 : data[62:0] <= 64'h3fd8913a75259d04;
|
| 145 |
|
|
`INPUT_WIDTH'd70 : data[62:0] <= 64'h3fd74b49cf3902d6;
|
| 146 |
|
|
`INPUT_WIDTH'd71 : data[62:0] <= 64'h3fd60976af8c1614;
|
| 147 |
|
|
`INPUT_WIDTH'd72 : data[62:0] <= 64'h3fd4cb7bfb4961b0;
|
| 148 |
|
|
`INPUT_WIDTH'd73 : data[62:0] <= 64'h3fd391176b8feb5b;
|
| 149 |
|
|
`INPUT_WIDTH'd74 : data[62:0] <= 64'h3fd25a0951873b22;
|
| 150 |
|
|
`INPUT_WIDTH'd75 : data[62:0] <= 64'h3fd126145e9ecd56;
|
| 151 |
|
|
`INPUT_WIDTH'd76 : data[62:0] <= 64'h3fcfe9fae1181f52;
|
| 152 |
|
|
`INPUT_WIDTH'd77 : data[62:0] <= 64'h3fcd8d16c1491599;
|
| 153 |
|
|
`INPUT_WIDTH'd78 : data[62:0] <= 64'h3fcb350dac762348;
|
| 154 |
|
|
`INPUT_WIDTH'd79 : data[62:0] <= 64'h3fc8e174375dceba;
|
| 155 |
|
|
`INPUT_WIDTH'd80 : data[62:0] <= 64'h3fc691e1ebc5cbbf;
|
| 156 |
|
|
`INPUT_WIDTH'd81 : data[62:0] <= 64'h3fc445f0fbb1cf93;
|
| 157 |
|
|
`INPUT_WIDTH'd82 : data[62:0] <= 64'h3fc1fd3df8664fe6;
|
| 158 |
|
|
`INPUT_WIDTH'd83 : data[62:0] <= 64'h3fbf6ecf19881d32;
|
| 159 |
|
|
`INPUT_WIDTH'd84 : data[62:0] <= 64'h3fbae81c75231d96;
|
| 160 |
|
|
`INPUT_WIDTH'd85 : data[62:0] <= 64'h3fb665a8349d55ee;
|
| 161 |
|
|
`INPUT_WIDTH'd86 : data[62:0] <= 64'h3fb1e6b93a6931ff;
|
| 162 |
|
|
`INPUT_WIDTH'd87 : data[62:0] <= 64'h3faad53144273e86;
|
| 163 |
|
|
`INPUT_WIDTH'd88 : data[62:0] <= 64'h3fa1e12295d61fd2;
|
| 164 |
|
|
`INPUT_WIDTH'd89 : data[62:0] <= 64'h3f91dfbd9410a43b;
|
| 165 |
|
|
`INPUT_WIDTH'd90 : data[62:0] <= 64'h0000000000000000;
|
| 166 |
|
|
|
| 167 |
|
|
|
| 168 |
|
|
default:data <= 64'h0;
|
| 169 |
|
|
|
| 170 |
|
|
endcase
|
| 171 |
|
|
|
| 172 |
|
|
else
|
| 173 |
|
|
data <= 64'hxxxxxxxxxxxxxxx;
|
| 174 |
|
|
|
| 175 |
|
|
|
| 176 |
|
|
|
| 177 |
|
|
end
|
| 178 |
|
|
|
| 179 |
|
|
|
| 180 |
|
|
endmodule
|
