intervalTest
Outputs 1 when the input lies within [LowerLimit, UpperLimit], else 0.
📝Syntax
Block type: intervalTest
📥Input Arguments
Parameter Description
input ports 1 input port(s) declared.
📤Output Arguments
Parameter Description
output ports 1 output port(s) declared.
📄Description

Outputs 1 when the input lies within [LowerLimit, UpperLimit], else 0.

Module nflow_blocks
Library Logic / Bit Operations
Type intervalTest
Label Interval Test

Description

Tests whether the input u lies inside a static interval. The bounds LowerLimit and UpperLimit are parameters; IntervalClosedLeft and IntervalClosedRight select whether each end is inclusive (>=/<=) or exclusive (>/<). The test is applied element-wise over a vector input.

Pure algebraic feedthrough (no state): the output at each step depends only on the current input.

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=100, y=40

Parameters

Parameter Default value
LowerLimit 0
UpperLimit 1
IntervalClosedLeft 1
IntervalClosedRight 1

Block Characteristics

Block type intervalTest
Family Logic / Bit Operations
Rendered size 100 x 80
Phases ALGEBRAIC
Internal state or history no
Signal data type double numeric values

Algorithms

Equation or Rule

$$y = \begin{cases} 1 & \text{lo} \le u \le \text{up} \\ 0 & \text{otherwise} \end{cases}$$

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/intervalTest.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
//=============================================================================
#include "SimEngineTypes.hpp"
#include "BlockRegistry.hpp"
#include "FieldNames.hpp"
#include "NFlowBlockDescriptor.hpp"
#include "NFlowCodegenHelpers.hpp"
#include <cmath>
#include "logic_blocks.hpp"
//=============================================================================
// intervalTest: output 1.0 when the input lies between LowerLimit and
// UpperLimit, else 0.0. The interval is closed on the left/right according to
// IntervalClosedLeft / IntervalClosedRight (both closed by default). Pure
// algebraic feedthrough, element-wise over the input width.
//=============================================================================
bool
Nelson::NFlow::handleIntervalTest(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 double lo = bd.paramDouble("LowerLimit", 0.0);
    const double up = bd.paramDouble("UpperLimit", 1.0);
    const bool cl = bd.paramDouble("IntervalClosedLeft", 1.0) != 0.0;
    const bool cr = bd.paramDouble("IntervalClosedRight", 1.0) != 0.0;
    SigView u = getInputSig(ctx, b.nid, 0);
    return emitElementwise(ctx, b.nid, [&](int i) -> double {
        const double x = sigAt(u, i);
        const bool okLo = cl ? (x >= lo) : (x > lo);
        const bool okUp = cr ? (x <= up) : (x < up);
        return (okLo && okUp) ? 1.0 : 0.0;
    });
}
//=============================================================================
Nelson::NFlow::BlockCodegenTemplate
Nelson::NFlow::getCodeGenCIntervalTest()
{
    BlockCodegenTemplate t;
    t.emitStep = [](const BlockCodegenArgs& a) {
        nflow::BlockDescriptor bd(*a.block, *a.variables);
        const double lo = bd.paramDouble("LowerLimit", 0.0);
        const double up = bd.paramDouble("UpperLimit", 1.0);
        const bool cl = bd.paramDouble("IntervalClosedLeft", 1.0) != 0.0;
        const bool cr = bd.paramDouble("IntervalClosedRight", 1.0) != 0.0;
        const std::string x = a.in[0];
        const std::string opL = cl ? " >= " : " > ";
        const std::string opR = cr ? " <= " : " < ";
        a.line("out_" + a.id + " = (" + x + opL + a.fmt(lo) + " && " + x + opR + a.fmt(up)
            + ") ? 1.0 : 0.0;");
    };
    return t;
}
//=============================================================================
Nelson::NFlow::BlockCodegenTemplate
Nelson::NFlow::getCodeGenRustIntervalTest()
{
    BlockCodegenTemplate t;
    t.emitStep = [](const BlockCodegenArgs& a) {
        nflow::BlockDescriptor bd(*a.block, *a.variables);
        const double lo = bd.paramDouble("LowerLimit", 0.0);
        const double up = bd.paramDouble("UpperLimit", 1.0);
        const bool cl = bd.paramDouble("IntervalClosedLeft", 1.0) != 0.0;
        const bool cr = bd.paramDouble("IntervalClosedRight", 1.0) != 0.0;
        const std::string x = a.in[0];
        const std::string opL = cl ? " >= " : " > ";
        const std::string opR = cr ? " <= " : " < ";
        a.line("out_" + a.id + " = if " + x + opL + a.fmt(lo) + " && " + x + opR + a.fmt(up)
            + " { 1.0_f64 } else { 0.0_f64 };");
    };
    return t;
}
//=============================================================================
💡Examples
Test a constant against [0, 1] and display the result.
d.blocks={ struct('id','c','type','constant','inputs',0,'outputs',1,'params',struct('Value',0.5)), struct('id','it','type','intervalTest','inputs',1,'outputs',1,'params',struct('LowerLimit',0,'UpperLimit',1)), struct('id','w','type','toWorkspace','inputs',1,'outputs',0,'params',struct('VariableName','y','SaveFormat','Array')) };
d.connections={ struct('from','c','to','it','fromIndex',0,'toIndex',0), struct('from','it','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
intervalTestDynamiccompareToConstant
🕔Version History
Version Description
1.0.0 initial version
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