bitwiseOperator
Bit-wise AND/OR/XOR/NAND/NOR/NOT of the input against a constant BitMask.
📝Syntax
Block type: bitwiseOperator
📥Input Arguments
Parameter Description
input ports 1 input port(s) declared.
📤Output Arguments
Parameter Description
output ports 1 output port(s) declared.
📄Description

Bit-wise AND/OR/XOR/NAND/NOR/NOT of the input against a constant BitMask.

Module nflow_blocks
Library Logic / Bit Operations
Type bitwiseOperator
Label Bitwise Operator

Description

Reinterprets the (integer-valued) input as an NumBits-wide unsigned integer and applies the selected bit-wise Operation against the constant BitMask. NOT ignores the mask. The result is masked back to NumBits bits and returned as a double. Element-wise over the input width.

Ports

Input(s)

Port Role Side Position
Port_1 Numeric signal read by the block. left x=0, y=40

Output(s)

Port Role Side Position
Port_1 Numeric signal produced by the block. right x=90, y=40

Parameters

Parameter Default value
Operation AND
BitMask 0
NumBits 32

Block Characteristics

Block type bitwiseOperator
Family Logic / Bit Operations
Rendered size 90 x 80
Phases ALGEBRAIC
Internal state or history no
Signal data type double numeric values

Algorithms

Equation or Rule

$$y = (u \star \text{BitMask}) \,\&\, (2^{\text{NumBits}}-1)$$

Extended Capabilities

Code generation: supported for C and Rust.

Implementation Sources

Manifestmodules/nflow_blocks/libraries/logic/library.json
{
  "id": "builtin.logic",
  "title": "Logic / Bit Operations",
  "version": "0.1.0",
  "format": "nflow-2",
  "builtin": true,
  "blocks": [
    {
      "type": "and",
      "label": "AND",
      "icon": "and.svg",
      "phases": [
        "ALGEBRAIC"
      ],
      "width": 80,
      "height": 80,
      "inputs": [
        {
          "x": 0,
          "y": 20,
          "side": "left"
        },
        {
          "x": 0,
          "y": 60,
          "side": "left"
        }
      ],
      "outputs": [
        {
          "x": 80,
          "y": 40,
          "side": "right"
        }
      ],
      "render": {
        "type": "math",
        "bodyClass": "block-body",
        "mathGroupClass": "and-math",
        "formula": "\\text{AND}",
        "textSize": "16px"
      }
    },
    {
      "type": "or",
      "label": "OR",
      "icon": "or.svg",
      "phases": [
        "ALGEBRAIC"
      ],
      "width": 80,
      "height": 80,
      "inputs": [
        {
          "x": 0,
          "y": 20,
          "side": "left"
        },
        {
          "x": 0,
          "y": 60,
          "side": "left"
        }
      ],
      "outputs": [
        {
          "x": 80,
          "y": 40,
          "side": "right"
        }
      ],
      "render": {
        "type": "math",
        "bodyClass": "block-body",
        "mathGroupClass": "or-math",
        "formula": "\\text{OR}",
        "textSize": "16px"
      }
    },
    {
      "type": "xor",
      "label": "XOR",
      "icon": "xor.svg",
      "phases": [
        "ALGEBRAIC"
      ],
      "width": 80,
      "height": 80,
      "inputs": [
        {
          "x": 0,
          "y": 20,
          "side": "left"
        },
        {
          "x": 0,
          "y": 60,
          "side": "left"
        }
      ],
      "outputs": [
        {
          "x": 80,
          "y": 40,
          "side": "right"
        }
      ],
      "render": {
        "type": "math",
        "bodyClass": "block-body",
        "mathGroupClass": "xor-math",
        "formula": "\\text{XOR}",
        "textSize": "16px"
      }
    },
    {
      "type": "not",
      "label": "NOT",
      "icon": "not.svg",
      "phases": [
        "ALGEBRAIC"
      ],
      "width": 80,
      "height": 80,
      "inputs": [
        {
          "x": 0,
          "y": 40,
          "side": "left"
        }
      ],
      "outputs": [
        {
          "x": 80,
          "y": 40,
          "side": "right"
        }
      ],
      "render": {
        "type": "math",
        "bodyClass": "block-body",
        "mathGroupClass": "not-math",
        "formula": "\\text{NOT}",
        "textSize": "16px"
      }
    },
    {
      "type": "compareToConstant",
      "label": "Compare Const",
      "icon": "compareToConstant.svg",
      "phases": [
        "ALGEBRAIC"
      ],
      "width": 100,
      "height": 80,
      "inputs": [
        {
          "x": 0,
          "y": 40,
          "side": "left"
        }
      ],
      "outputs": [
        {
          "x": 100,
          "y": 40,
          "side": "right"
        }
      ],
      "defaultParams": {
        "relop": "ge",
        "const": 0
      },
      "render": {
        "type": "image",
        "src": "exports/compareToConstant.svg",
        "svgMode": "element",
        "preserveAspectRatio": "none",
        "x": 0,
        "y": 0,
        "width": 100,
        "height": 80
      }
    },
    {
      "type": "intervalTest",
      "label": "Interval Test",
      "icon": "intervalTest.svg",
      "phases": [
        "ALGEBRAIC"
      ],
      "width": 100,
      "height": 80,
      "inputs": [
        {
          "x": 0,
          "y": 40,
          "side": "left"
        }
      ],
      "outputs": [
        {
          "x": 100,
          "y": 40,
          "side": "right"
        }
      ],
      "defaultParams": {
        "LowerLimit": 0,
        "UpperLimit": 1,
        "IntervalClosedLeft": 1,
        "IntervalClosedRight": 1
      },
      "render": {
        "type": "image",
        "src": "exports/intervalTest.svg",
        "svgMode": "element",
        "preserveAspectRatio": "none",
        "x": 0,
        "y": 0,
        "width": 100,
        "height": 80
      }
    },
    {
      "type": "intervalTestDynamic",
      "label": "Interval Test Dynamic",
      "icon": "intervalTestDynamic.svg",
      "phases": [
        "ALGEBRAIC"
      ],
      "width": 100,
      "height": 80,
      "inputs": [
        {
          "x": 0,
          "y": 20,
          "side": "left"
        },
        {
          "x": 0,
          "y": 40,
          "side": "left"
        },
        {
          "x": 0,
          "y": 60,
          "side": "left"
        }
      ],
      "outputs": [
        {
          "x": 100,
          "y": 40,
          "side": "right"
        }
      ],
      "defaultParams": {
        "IntervalClosedLeft": 1,
        "IntervalClosedRight": 1
      },
      "render": {
        "type": "image",
        "src": "exports/intervalTestDynamic.svg",
        "svgMode": "element",
        "preserveAspectRatio": "none",
        "x": 0,
        "y": 0,
        "width": 100,
        "height": 80
      }
    },
    {
      "type": "bitwiseOperator",
      "label": "Bitwise Operator",
      "icon": "bitwiseOperator.svg",
      "phases": [
        "ALGEBRAIC"
      ],
      "width": 90,
      "height": 80,
      "inputs": [
        {
          "x": 0,
          "y": 40,
          "side": "left"
        }
      ],
      "outputs": [
        {
          "x": 90,
          "y": 40,
          "side": "right"
        }
      ],
      "defaultParams": {
        "Operation": "AND",
        "BitMask": 0,
        "NumBits": 32
      },
      "render": {
        "type": "image",
        "src": "exports/bitwiseOperator.svg",
        "svgMode": "element",
        "preserveAspectRatio": "none",
        "x": 0,
        "y": 0,
        "width": 90,
        "height": 80
      }
    },
    {
      "type": "bitSet",
      "label": "Bit Set",
      "icon": "bitSet.svg",
      "phases": [
        "ALGEBRAIC"
      ],
      "width": 80,
      "height": 80,
      "inputs": [
        {
          "x": 0,
          "y": 40,
          "side": "left"
        }
      ],
      "outputs": [
        {
          "x": 80,
          "y": 40,
          "side": "right"
        }
      ],
      "defaultParams": {
        "BitIndex": 0,
        "NumBits": 32
      },
      "render": {
        "type": "image",
        "src": "exports/bitSet.svg",
        "svgMode": "element",
        "preserveAspectRatio": "none",
        "x": 0,
        "y": 0,
        "width": 80,
        "height": 80
      }
    },
    {
      "type": "bitClear",
      "label": "Bit Clear",
      "icon": "bitClear.svg",
      "phases": [
        "ALGEBRAIC"
      ],
      "width": 80,
      "height": 80,
      "inputs": [
        {
          "x": 0,
          "y": 40,
          "side": "left"
        }
      ],
      "outputs": [
        {
          "x": 80,
          "y": 40,
          "side": "right"
        }
      ],
      "defaultParams": {
        "BitIndex": 0,
        "NumBits": 32
      },
      "render": {
        "type": "image",
        "src": "exports/bitClear.svg",
        "svgMode": "element",
        "preserveAspectRatio": "none",
        "x": 0,
        "y": 0,
        "width": 80,
        "height": 80
      }
    },
    {
      "type": "extractBits",
      "label": "Extract Bits",
      "icon": "extractBits.svg",
      "phases": [
        "ALGEBRAIC"
      ],
      "width": 90,
      "height": 80,
      "inputs": [
        {
          "x": 0,
          "y": 40,
          "side": "left"
        }
      ],
      "outputs": [
        {
          "x": 90,
          "y": 40,
          "side": "right"
        }
      ],
      "defaultParams": {
        "StartBit": 0,
        "NumBitsToExtract": 8,
        "NumBits": 32,
        "OutputScaling": "keepWeight"
      },
      "render": {
        "type": "image",
        "src": "exports/extractBits.svg",
        "svgMode": "element",
        "preserveAspectRatio": "none",
        "x": 0,
        "y": 0,
        "width": 90,
        "height": 80
      }
    },
    {
      "type": "shiftArithmetic",
      "label": "Shift Arithmetic",
      "icon": "shiftArithmetic.svg",
      "phases": [
        "ALGEBRAIC"
      ],
      "width": 90,
      "height": 80,
      "inputs": [
        {
          "x": 0,
          "y": 40,
          "side": "left"
        }
      ],
      "outputs": [
        {
          "x": 90,
          "y": 40,
          "side": "right"
        }
      ],
      "defaultParams": {
        "ShiftDirection": "Left",
        "ShiftNumber": 1
      },
      "render": {
        "type": "image",
        "src": "exports/shiftArithmetic.svg",
        "svgMode": "element",
        "preserveAspectRatio": "none",
        "x": 0,
        "y": 0,
        "width": 90,
        "height": 80
      }
    },
    {
      "type": "combinatorialLogic",
      "label": "Combinatorial Logic",
      "icon": "combinatorialLogic.svg",
      "phases": [
        "ALGEBRAIC"
      ],
      "width": 90,
      "height": 80,
      "inputs": [
        {
          "x": 0,
          "y": 40,
          "side": "left"
        }
      ],
      "outputs": [
        {
          "x": 90,
          "y": 40,
          "side": "right"
        }
      ],
      "defaultParams": {
        "TruthTable": [
          0,
          1,
          1,
          0
        ]
      },
      "render": {
        "type": "image",
        "src": "exports/combinatorialLogic.svg",
        "svgMode": "element",
        "preserveAspectRatio": "none",
        "x": 0,
        "y": 0,
        "width": 90,
        "height": 80
      }
    },
    {
      "type": "compareToZero",
      "label": "Compare Zero",
      "icon": "compareToZero.svg",
      "phases": [
        "ALGEBRAIC"
      ],
      "width": 100,
      "height": 80,
      "inputs": [
        {
          "x": 0,
          "y": 40,
          "side": "left"
        }
      ],
      "outputs": [
        {
          "x": 100,
          "y": 40,
          "side": "right"
        }
      ],
      "defaultParams": {
        "relop": "ne"
      },
      "render": {
        "type": "image",
        "src": "exports/compareToZero.svg",
        "svgMode": "element",
        "preserveAspectRatio": "none",
        "x": 0,
        "y": 0,
        "width": 100,
        "height": 80
      }
    },
    {
      "type": "relationalOperator",
      "label": "Relational",
      "icon": "relationalOperator.svg",
      "phases": [
        "ALGEBRAIC"
      ],
      "width": 100,
      "height": 80,
      "inputs": [
        {
          "x": 0,
          "y": 30,
          "side": "left"
        },
        {
          "x": 0,
          "y": 50,
          "side": "left"
        }
      ],
      "outputs": [
        {
          "x": 100,
          "y": 40,
          "side": "right"
        }
      ],
      "defaultParams": {
        "Operator": "ge"
      },
      "render": {
        "type": "image",
        "src": "exports/relationalOperator.svg",
        "svgMode": "element",
        "preserveAspectRatio": "none",
        "x": 0,
        "y": 0,
        "width": 100,
        "height": 80
      }
    },
    {
      "type": "switchCase",
      "label": "Switch Case",
      "icon": "switchCase.svg",
      "phases": [
        "ALGEBRAIC"
      ],
      "width": 100,
      "height": 80,
      "inputs": [
        {
          "x": 0,
          "y": 40,
          "side": "left"
        }
      ],
      "outputs": [
        {
          "x": 100,
          "y": 30,
          "side": "right"
        },
        {
          "x": 100,
          "y": 50,
          "side": "right"
        }
      ],
      "defaultParams": {
        "CaseConditions": "{1}",
        "ShowDefaultCase": "on"
      },
      "render": {
        "type": "image",
        "src": "exports/switchCase.svg",
        "svgMode": "element",
        "preserveAspectRatio": "none",
        "x": 0,
        "y": 0,
        "width": 100,
        "height": 80
      }
    },
    {
      "type": "if",
      "label": "If",
      "icon": "if.svg",
      "phases": [
        "ALGEBRAIC"
      ],
      "width": 100,
      "height": 80,
      "inputs": [
        {
          "x": 0,
          "y": 30,
          "side": "left"
        },
        {
          "x": 0,
          "y": 50,
          "side": "left"
        }
      ],
      "outputs": [
        {
          "x": 100,
          "y": 30,
          "side": "right"
        },
        {
          "x": 100,
          "y": 50,
          "side": "right"
        }
      ],
      "defaultParams": {
        "IfExpression": "u1 > 0",
        "ElseIfExpressions": "",
        "ShowElse": "on"
      },
      "render": {
        "type": "image",
        "src": "exports/if.svg",
        "svgMode": "element",
        "preserveAspectRatio": "none",
        "x": 0,
        "y": 0,
        "width": 100,
        "height": 80
      }
    },
    {
      "type": "logicalOperator",
      "label": "Logical Operator",
      "icon": "logicalOperator.svg",
      "phases": [
        "ALGEBRAIC"
      ],
      "width": 80,
      "height": 80,
      "inputs": [
        {
          "x": 0,
          "y": 30,
          "side": "left"
        },
        {
          "x": 0,
          "y": 50,
          "side": "left"
        }
      ],
      "outputs": [
        {
          "x": 80,
          "y": 40,
          "side": "right"
        }
      ],
      "defaultParams": {
        "Operator": "AND"
      },
      "render": {
        "type": "image",
        "src": "exports/logicalOperator.svg",
        "svgMode": "element",
        "preserveAspectRatio": "none",
        "x": 0,
        "y": 0,
        "width": 80,
        "height": 80
      }
    }
  ]
}
Runtimemodules/nflow_blocks/src/cpp/logic/bitwiseOperator.cpp
//=============================================================================
// Copyright (c) 2016-present Allan CORNET (Nelson)
//=============================================================================
// This file is part of Nelson.
//=============================================================================
// LICENCE_BLOCK_BEGIN
// SPDX-License-Identifier: LGPL-3.0-or-later
// LICENCE_BLOCK_END
//=============================================================================
// bitwiseOperator: bit-wise logic between the (integer-valued) input and a
// constant BitMask (Bitwise Operator, mask form). Operation is one of AND, OR,
// XOR, NAND, NOR, NOT (NOT ignores the mask). Values are reinterpreted as
// unsigned integers of NumBits width (default 32); the result is masked back to
// that width and returned as a double. Pure algebraic feedthrough, element-wise
// over the input width. C / Rust code generation.
//=============================================================================
#include "SimEngineTypes.hpp"
#include "BlockRegistry.hpp"
#include "FieldNames.hpp"
#include "NFlowBlockDescriptor.hpp"
#include "NFlowCodegenHelpers.hpp"
#include <cmath>
#include <cstdint>
#include <string>
#include "logic_blocks.hpp"
//=============================================================================
namespace Nelson {
namespace NFlow {
    //=============================================================================
    // Operation codes: 0 AND, 1 OR, 2 XOR, 3 NAND, 4 NOR, 5 NOT.
    static int
    bwOp(const nflow::BlockDescriptor& bd)
    {
        const std::string s = bd.paramStr("Operation", "AND");
        if (s == "OR") {
            return 1;
        }
        if (s == "XOR") {
            return 2;
        }
        if (s == "NAND") {
            return 3;
        }
        if (s == "NOR") {
            return 4;
        }
        if (s == "NOT") {
            return 5;
        }
        return 0;
    }
    //=============================================================================
    static uint64_t
    bwFullMask(const nflow::BlockDescriptor& bd)
    {
        double nb = std::floor(bd.paramDouble("NumBits", 32.0));
        if (nb < 1.0) {
            nb = 1.0;
        }
        if (nb >= 64.0) {
            return ~0ULL;
        }
        return (1ULL << static_cast<unsigned>(nb)) - 1ULL;
    }
    //=============================================================================
    static uint64_t
    bwApply(int op, uint64_t x, uint64_t m, uint64_t fm)
    {
        switch (op) {
        case 1:
            return (x | m) & fm;
        case 2:
            return (x ^ m) & fm;
        case 3:
            return (~(x & m)) & fm;
        case 4:
            return (~(x | m)) & fm;
        case 5:
            return (~x) & fm;
        case 0:
        default:
            return (x & m) & fm;
        }
    }
    //=============================================================================
    bool
    handleBitwiseOperator(SimCtx& ctx, const Block& b, Phase phase)
    {
        if (phase != Phase::ALGEBRAIC) {
            return false;
        }
        if (!hasInput(ctx, b.nid, 0)) {
            return false;
        }
        nflow::BlockDescriptor bd(b, ctx.variables);
        const int op = bwOp(bd);
        const uint64_t fm = bwFullMask(bd);
        const uint64_t mask
            = static_cast<uint64_t>(std::llround(bd.paramDouble("BitMask", 0.0))) & fm;
        SigView u = getInputSig(ctx, b.nid, 0);
        return emitElementwise(ctx, b.nid, [&](int i) -> double {
            const uint64_t x = static_cast<uint64_t>(std::llround(sigAt(u, i))) & fm;
            return static_cast<double>(bwApply(op, x, mask, fm));
        });
    }
    //=============================================================================
    static std::string
    bwExprC(int op, const std::string& xu, const std::string& m, const std::string& fm)
    {
        switch (op) {
        case 1:
            return "(double)((" + xu + " | " + m + ") & " + fm + ")";
        case 2:
            return "(double)((" + xu + " ^ " + m + ") & " + fm + ")";
        case 3:
            return "(double)((~(" + xu + " & " + m + ")) & " + fm + ")";
        case 4:
            return "(double)((~(" + xu + " | " + m + ")) & " + fm + ")";
        case 5:
            return "(double)((~" + xu + ") & " + fm + ")";
        case 0:
        default:
            return "(double)((" + xu + " & " + m + ") & " + fm + ")";
        }
    }
    //=============================================================================
    BlockCodegenTemplate
    getCodeGenCBitwiseOperator()
    {
        BlockCodegenTemplate t;
        t.emitStep = [](const BlockCodegenArgs& a) {
            nflow::BlockDescriptor bd(*a.block, *a.variables);
            const int op = bwOp(bd);
            const uint64_t fm = bwFullMask(bd);
            const uint64_t mask
                = static_cast<uint64_t>(std::llround(bd.paramDouble("BitMask", 0.0))) & fm;
            const std::string xu = "((unsigned long long)llround(" + a.in[0] + "))";
            const std::string m = std::to_string(mask) + "ULL";
            const std::string fms = std::to_string(fm) + "ULL";
            a.line("out_" + a.id + " = " + bwExprC(op, xu, m, fms) + ";");
        };
        return t;
    }
    //=============================================================================
    static std::string
    bwExprRust(int op, const std::string& xu, const std::string& m, const std::string& fm)
    {
        switch (op) {
        case 1:
            return "(((" + xu + " | " + m + ") & " + fm + ") as f64)";
        case 2:
            return "(((" + xu + " ^ " + m + ") & " + fm + ") as f64)";
        case 3:
            return "(((!(" + xu + " & " + m + ")) & " + fm + ") as f64)";
        case 4:
            return "(((!(" + xu + " | " + m + ")) & " + fm + ") as f64)";
        case 5:
            return "(((!" + xu + ") & " + fm + ") as f64)";
        case 0:
        default:
            return "(((" + xu + " & " + m + ") & " + fm + ") as f64)";
        }
    }
    //=============================================================================
    BlockCodegenTemplate
    getCodeGenRustBitwiseOperator()
    {
        BlockCodegenTemplate t;
        t.emitStep = [](const BlockCodegenArgs& a) {
            nflow::BlockDescriptor bd(*a.block, *a.variables);
            const int op = bwOp(bd);
            const uint64_t fm = bwFullMask(bd);
            const uint64_t mask
                = static_cast<uint64_t>(std::llround(bd.paramDouble("BitMask", 0.0))) & fm;
            // Wrap negatives via i64 -> u64 (two's complement), matching the
            // interpreter and the C backend; a bare `as u64` saturates negative
            // inputs to 0 in Rust.
            const std::string xu = "((libm::round(" + a.in[0] + ") as i64) as u64)";
            const std::string m = std::to_string(mask) + "u64";
            const std::string fms = std::to_string(fm) + "u64";
            a.line("out_" + a.id + " = " + bwExprRust(op, xu, m, fms) + ";");
        };
        return t;
    }
    //=============================================================================
} // namespace NFlow
} // namespace Nelson
//=============================================================================
💡Examples
AND of 12 (1100) with mask 10 (1010) over 8 bits gives 8 (1000).
d.blocks={ struct('id','c','type','constant','inputs',0,'outputs',1,'params',struct('Value',12)), struct('id','b','type','bitwiseOperator','inputs',1,'outputs',1,'params',struct('Operation','AND','BitMask',10,'NumBits',8)), struct('id','w','type','toWorkspace','inputs',1,'outputs',0,'params',struct('VariableName','y','SaveFormat','Array')) };
d.connections={ struct('from','c','to','b','fromIndex',0,'toIndex',0), struct('from','b','to','w','fromIndex',0,'toIndex',0) };
d.sampleTime=0.1; d.duration=0.2; d.solver='discrete'; d.variables=struct();
r=jsondecode(__nflow_simulate__(jsonencode(d)));
🔗See Also
bitSetbitClearextractBitsshiftArithmetic
🕔Version History
Version Description
1.0.0 initial version
Edit this page on GitHub