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3cb09c0904
skia2/gm/runtimeintrinsics.cpp
John Stiles 3cb09c0904 Add GM slide for ES3 trig intrinsics. 
Unlike the other Runtime Effects slides, this only works on GPU, as
the ES3 intrinsics aren't implemented in SkVM (today).

Change-Id: Icf59e4ed7c1e89aa7b730b43c2fd0fa45d61e71a
Bug: skia:12202, skia:12352
Reviewed-on: https://skia-review.googlesource.com/c/skia/+/439777
Auto-Submit: John Stiles <johnstiles@google.com>
Reviewed-by: Brian Osman <brianosman@google.com>
Commit-Queue: John Stiles <johnstiles@google.com>
2021-08-18 16:22:07 +00:00

574 lines
22 KiB
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/*
* Copyright 2019 Google LLC
*
* Use of this source code is governed by a BSD-style license that can be
* found in the LICENSE file.
*/
#include "gm/gm.h"
#include "include/core/SkBitmap.h"
#include "include/core/SkCanvas.h"
#include "include/core/SkData.h"
#include "include/core/SkFont.h"
#include "include/core/SkPaint.h"
#include "include/core/SkSize.h"
#include "include/core/SkString.h"
#include "include/core/SkSurface.h"
#include "include/effects/SkGradientShader.h"
#include "include/effects/SkImageFilters.h"
#include "include/effects/SkRuntimeEffect.h"
#include "include/utils/SkRandom.h"
#include "src/core/SkRuntimeEffectPriv.h"
#include "src/gpu/GrCaps.h"
#include "src/gpu/GrRecordingContextPriv.h"
#include "tools/Resources.h"
#include "tools/ToolUtils.h"
static constexpr int kBoxSize = 100;
static constexpr int kPadding = 5;
static constexpr int kLabelHeight = 15;
static void next_column(SkCanvas* canvas) {
canvas->translate(kBoxSize + kPadding, 0);
}
static void next_row(SkCanvas* canvas) {
canvas->restore();
canvas->translate(0, kBoxSize + kPadding + kLabelHeight);
canvas->save();
}
static constexpr int columns_to_width(int columns) {
return (kPadding + kBoxSize) * columns + kPadding;
}
static constexpr int rows_to_height(int rows) {
return (kPadding + kLabelHeight + kBoxSize) * rows + kPadding;
}
static void draw_label(SkCanvas* canvas, const char* label) {
SkFont font(ToolUtils::create_portable_typeface());
SkPaint p(SkColors::kBlack);
SkRect bounds;
font.measureText(label, strlen(label), SkTextEncoding::kUTF8, &bounds);
canvas->drawSimpleText(label, strlen(label), SkTextEncoding::kUTF8,
(kBoxSize - bounds.width()) * 0.5f,
(kLabelHeight + bounds.height()) * 0.5f, font, p);
canvas->translate(0, kLabelHeight);
}
static SkBitmap draw_shader(SkCanvas* canvas, sk_sp<SkShader> shader) {
SkPaint paint;
paint.setShader(std::move(shader));
SkImageInfo info = SkImageInfo::MakeN32Premul({kBoxSize, kBoxSize});
auto surface = canvas->makeSurface(info);
if (!surface) {
surface = SkSurface::MakeRaster(info);
}
surface->getCanvas()->clear(SK_ColorWHITE);
surface->getCanvas()->scale(kBoxSize, kBoxSize);
surface->getCanvas()->drawRect({0, 0, 1, 1}, paint);
SkBitmap bitmap;
bitmap.allocPixels(info);
surface->readPixels(bitmap, 0, 0);
canvas->drawImage(bitmap.asImage(), 0, 0);
return bitmap;
}
/*
Test cases are inserted into the middle of this shader. The pasted expression is expected to
produce a single float. It can reference:
'x' : float in [xMin, xMax]
'p' : float2 in [xMin, xMax] Lerps from (xMax, xMin) to (xMin, xMax)
(helpful for intrinsics with a mix of scalar/vector params)
'v1' : float2(1)
'v2' : float2(2)
*/
static SkString make_unary_sksl_1d(const char* fn) {
return SkStringPrintf(
"uniform float xScale; uniform float xBias;"
"uniform float yScale; uniform float yBias;"
"half4 main(float2 p) {"
" float2 v1 = float2(1);"
" float2 v2 = float2(2);"
" p = float2(p.x, 1 - p.x) * xScale + xBias;"
" float x = p.x;"
" float y = %s * yScale + yBias;"
" return y.xxx1;"
"}",
fn);
}
// Draws one row of boxes, then advances the canvas translation vertically
static void plot(SkCanvas* canvas,
const char* fn,
float xMin,
float xMax,
float yMin,
float yMax,
const char* label = nullptr,
bool requireES3 = false) {
canvas->save();
draw_label(canvas, label ? label : fn);
auto [effect, error] = SkRuntimeEffect::MakeForShader(
make_unary_sksl_1d(fn),
requireES3 ? SkRuntimeEffectPriv::ES3Options() : SkRuntimeEffect::Options{});
if (!effect) {
SkDebugf("Error: %s\n", error.c_str());
return;
}
SkRuntimeShaderBuilder builder(effect);
builder.uniform("xScale") = xMax - xMin;
builder.uniform("xBias") = xMin;
builder.uniform("yScale") = 1.0f / (yMax - yMin);
builder.uniform("yBias") = -yMin / (yMax - yMin);
SkBitmap bitmap =
draw_shader(canvas, builder.makeShader(/*localMatrix=*/nullptr, /*isOpaque=*/false));
// Plot...
SkPaint plotPaint({ 0.0f, 0.5f, 0.0f, 1.0f });
SkPoint pts[kBoxSize];
for (int x = 0; x < kBoxSize; ++x) {
SkColor c = bitmap.getColor(x, 0);
SkScalar y = (1 - (SkColorGetR(c) / 255.0f)) * kBoxSize;
pts[x].set(x + 0.5f, y);
}
canvas->drawPoints(SkCanvas::kPoints_PointMode, kBoxSize, pts, plotPaint);
canvas->restore();
next_column(canvas);
}
static void plot_es3(SkCanvas* canvas,
const char* fn,
float xMin,
float xMax,
float yMin,
float yMax,
const char* label = nullptr) {
plot(canvas, fn, xMin, xMax, yMin, yMax, label, /*requireES3=*/true);
}
// The OpenGL ES Shading Language, Version 1.00, Section 8.1
DEF_SIMPLE_GM(runtime_intrinsics_trig,
canvas,
columns_to_width(3),
rows_to_height(5)) {
const float kPI = SK_FloatPI, kTwoPI = 2 * SK_FloatPI, kPIOverTwo = SK_FloatPI / 2;
canvas->translate(kPadding, kPadding);
canvas->save();
plot(canvas, "radians(x)", 0.0f, 360.0f, 0.0f, kTwoPI);
plot(canvas, "degrees(x)", 0.0f, kTwoPI, 0.0f, 360.0f);
next_row(canvas);
plot(canvas, "sin(x)", 0.0f, kTwoPI, -1.0f, 1.0f);
plot(canvas, "cos(x)", 0.0f, kTwoPI, -1.0f, 1.0f);
plot(canvas, "tan(x)", 0.0f, kPI, -10.0f, 10.0f);
next_row(canvas);
plot(canvas, "asin(x)", -1.0f, 1.0f, -kPIOverTwo, kPIOverTwo);
plot(canvas, "acos(x)", -1.0f, 1.0f, 0.0f, kPI);
plot(canvas, "atan(x)", -10.0f, 10.0f, -kPIOverTwo, kPIOverTwo);
next_row(canvas);
plot(canvas, "atan(0.1, x)", -1.0f, 1.0f, 0.0f, kPI);
plot(canvas, "atan(-0.1, x)", -1.0f, 1.0f, -kPI, 0.0f);
next_row(canvas);
plot(canvas, "atan(x, 0.1)", -1.0f, 1.0f, -kPIOverTwo, kPIOverTwo);
plot(canvas, "atan(x, -0.1)", -1.0f, 1.0f, -kPI, kPI);
next_row(canvas);
}
// The OpenGL ES Shading Language, Version 3.00, Section 8.1
DEF_SIMPLE_GPU_GM_CAN_FAIL(runtime_intrinsics_trig_es3,
ctx, canvas, errorMsg,
columns_to_width(3),
rows_to_height(2)) {
// We don't have an ES2 caps bit, so we check the caps bits for features that ES2 explicitly
// doesn't support. Our ES2 bots should return false for these.
if (!ctx->priv().caps()->shaderCaps()->shaderDerivativeSupport() ||
!ctx->priv().caps()->shaderCaps()->integerSupport() ||
!ctx->priv().caps()->shaderCaps()->nonsquareMatrixSupport()) {
*errorMsg = "ES3 features are required.";
return skiagm::DrawResult::kSkip;
}
canvas->translate(kPadding, kPadding);
canvas->save();
plot_es3(canvas, "sinh(x)", -2.0f, 2.0f, -4.0f, 4.0f);
plot_es3(canvas, "cosh(x)", -2.0f, 2.0f, 0.0f, 4.0f);
plot_es3(canvas, "tanh(x)", -2.0f, 2.0f, -1.0f, 1.0f);
next_row(canvas);
if (ctx->priv().caps()->shaderCaps()->inverseHyperbolicSupport()) {
plot_es3(canvas, "asinh(x)", -2.0f, 2.0f, -2.0f, 2.0f);
plot_es3(canvas, "acosh(x)", 0.0f, 5.0f, 0.0f, 3.0f);
plot_es3(canvas, "atanh(x)", -1.0f, 1.0f, -4.0f, 4.0f);
}
next_row(canvas);
return skiagm::DrawResult::kOk;
}
// The OpenGL ES Shading Language, Version 1.00, Section 8.2
DEF_SIMPLE_GM(runtime_intrinsics_exponential,
canvas,
columns_to_width(2),
rows_to_height(5)) {
canvas->translate(kPadding, kPadding);
canvas->save();
plot(canvas, "pow(x, 3)", 0.0f, 8.0f, 0.0f, 500.0f);
plot(canvas, "pow(x, -3)", 0.0f, 4.0f, 0.0f, 10.0f);
next_row(canvas);
plot(canvas, "pow(0.9, x)", -10.0f, 10.0f, 0.0f, 3.0f);
plot(canvas, "pow(1.1, x)", -10.0f, 10.0f, 0.0f, 3.0f);
next_row(canvas);
plot(canvas, "exp(x)", -1.0f, 7.0f, 0.0f, 1000.0f);
plot(canvas, "log(x)", 0.0f, 2.5f, -4.0f, 1.0f);
next_row(canvas);
plot(canvas, "exp2(x)", -1.0f, 7.0f, 0.0f, 130.0f);
plot(canvas, "log2(x)", 0.0f, 4.0f, -4.0f, 2.0f);
next_row(canvas);
plot(canvas, "sqrt(x)", 0.0f, 25.0f, 0.0f, 5.0f);
plot(canvas, "inversesqrt(x)", 0.0f, 25.0f, 0.2f, 4.0f);
next_row(canvas);
}
// The OpenGL ES Shading Language, Version 1.00, Section 8.3
DEF_SIMPLE_GM(runtime_intrinsics_common,
canvas,
columns_to_width(6),
rows_to_height(7)) {
canvas->translate(kPadding, kPadding);
canvas->save();
plot(canvas, "abs(x)", -10.0f, 10.0f, 0.0f, 10.0f);
plot(canvas, "sign(x)", -1.0f, 1.0f, -1.5f, 1.5f);
next_row(canvas);
plot(canvas, "floor(x)", -3.0f, 3.0f, -4.0f, 4.0f);
plot(canvas, "ceil(x)", -3.0f, 3.0f, -4.0f, 4.0f);
plot(canvas, "fract(x)", -3.0f, 3.0f, 0.0f, 1.0f);
plot(canvas, "mod(x, 2)", -4.0f, 4.0f, -2.0f, 2.0f, "mod(scalar)");
plot(canvas, "mod(p, -2).x", -4.0f, 4.0f, -2.0f, 2.0f, "mod(mixed)" );
plot(canvas, "mod(p, v2).x", -4.0f, 4.0f, -2.0f, 2.0f, "mod(vector)");
next_row(canvas);
plot(canvas, "min(x, 1)", 0.0f, 2.0f, 0.0f, 2.0f, "min(scalar)");
plot(canvas, "min(p, 1).x", 0.0f, 2.0f, 0.0f, 2.0f, "min(mixed)" );
plot(canvas, "min(p, v1).x", 0.0f, 2.0f, 0.0f, 2.0f, "min(vector)");
plot(canvas, "max(x, 1)", 0.0f, 2.0f, 0.0f, 2.0f, "max(scalar)");
plot(canvas, "max(p, 1).x", 0.0f, 2.0f, 0.0f, 2.0f, "max(mixed)" );
plot(canvas, "max(p, v1).x", 0.0f, 2.0f, 0.0f, 2.0f, "max(vector)");
next_row(canvas);
plot(canvas, "clamp(x, 1, 2)", 0.0f, 3.0f, 0.0f, 3.0f, "clamp(scalar)");
plot(canvas, "clamp(p, 1, 2).x", 0.0f, 3.0f, 0.0f, 3.0f, "clamp(mixed)" );
plot(canvas, "clamp(p, v1, v2).x", 0.0f, 3.0f, 0.0f, 3.0f, "clamp(vector)");
plot(canvas, "saturate(x)", -1.0f, 2.0f, -0.5f, 1.5f);
next_row(canvas);
plot(canvas, "mix(1, 2, x)", -1.0f, 2.0f, 0.0f, 3.0f, "mix(scalar)");
plot(canvas, "mix(v1, v2, x).x", -1.0f, 2.0f, 0.0f, 3.0f, "mix(mixed)" );
plot(canvas, "mix(v1, v2, p).x", -1.0f, 2.0f, 0.0f, 3.0f, "mix(vector)");
next_row(canvas);
plot(canvas, "step(1, x)", 0.0f, 2.0f, -0.5f, 1.5f, "step(scalar)");
plot(canvas, "step(1, p).x", 0.0f, 2.0f, -0.5f, 1.5f, "step(mixed)" );
plot(canvas, "step(v1, p).x", 0.0f, 2.0f, -0.5f, 1.5f, "step(vector)");
plot(canvas, "smoothstep(1, 2, x)", 0.5f, 2.5f, -0.5f, 1.5f, "smooth(scalar)");
plot(canvas, "smoothstep(1, 2, p).x", 0.5f, 2.5f, -0.5f, 1.5f, "smooth(mixed)" );
plot(canvas, "smoothstep(v1, v2, p).x", 0.5f, 2.5f, -0.5f, 1.5f, "smooth(vector)");
next_row(canvas);
plot(canvas, "floor(p).x", -3.0f, 3.0f, -4.0f, 4.0f);
plot(canvas, "ceil(p).x", -3.0f, 3.0f, -4.0f, 4.0f);
plot(canvas, "floor(p).y", -3.0f, 3.0f, -4.0f, 4.0f);
plot(canvas, "ceil(p).y", -3.0f, 3.0f, -4.0f, 4.0f);
next_row(canvas);
}
// The OpenGL ES Shading Language, Version 1.00, Section 8.4
DEF_SIMPLE_GM(runtime_intrinsics_geometric,
canvas,
columns_to_width(4),
rows_to_height(5)) {
canvas->translate(kPadding, kPadding);
canvas->save();
plot(canvas, "length(x)", -1.0f, 1.0f, -0.5f, 1.5f);
plot(canvas, "length(p)", 0.0f, 1.0f, 0.5f, 1.5f);
plot(canvas, "distance(x, 0)", -1.0f, 1.0f, -0.5f, 1.5f);
plot(canvas, "distance(p, v1)", 0.0f, 1.0f, 0.5f, 1.5f);
next_row(canvas);
plot(canvas, "dot(x, 2)", -1.0f, 1.0f, -2.5f, 2.5f);
plot(canvas, "dot(p, p.y1)", -1.0f, 1.0f, -2.5f, 0.5f);
next_row(canvas);
plot(canvas, "cross(p.xy1, p.y1x).x", 0.0f, 1.0f, -1.0f, 1.0f);
plot(canvas, "cross(p.xy1, p.y1x).y", 0.0f, 1.0f, -1.0f, 1.0f);
plot(canvas, "cross(p.xy1, p.y1x).z", 0.0f, 1.0f, -1.0f, 1.0f);
next_row(canvas);
plot(canvas, "normalize(x)", -2.0f, 2.0f, -1.5f, 1.5f);
plot(canvas, "normalize(p).x", 0.0f, 2.0f, 0.0f, 1.0f);
plot(canvas, "normalize(p).y", 0.0f, 2.0f, 0.0f, 1.0f);
plot(canvas, "faceforward(v1, p.x0, v1.x0).x", -1.0f, 1.0f, -1.5f, 1.5f, "faceforward");
next_row(canvas);
plot(canvas, "reflect(p.x1, v1.0x).x", -1.0f, 1.0f, -1.0f, 1.0f, "reflect(horiz)");
plot(canvas, "reflect(p.x1, normalize(v1)).y", -1.0f, 1.0f, -1.0f, 1.0f, "reflect(diag)" );
plot(canvas, "refract(v1.x0, v1.0x, x).x", 0.0f, 1.0f, -1.0f, 1.0f, "refract().x");
plot(canvas, "refract(v1.x0, v1.0x, x).y", 0.0f, 1.0f, -1.0f, 1.0f, "refract().y");
next_row(canvas);
}
#define SKSL_MATRIX_SELECTORS \
"inline float2 sel2(float x) {" \
" return float2(" \
" x < 0.5 ? 1 : 0," \
" x >= 0.5 ? 1 : 0);" \
"}" \
"inline float3 sel3(float x) {" \
" return float3(" \
" x < 0.33 ? 1 : 0," \
" x >= 0.33 && x < 0.66 ? 1 : 0," \
" x >= 0.66 ? 1 : 0);" \
"}" \
"inline float4 sel4(float x) {" \
" return float4(" \
" x < 0.25 ? 1 : 0," \
" x >= 0.25 && x < 0.5 ? 1 : 0," \
" x >= 0.5 && x < 0.75 ? 1 : 0," \
" x >= 0.75 ? 1 : 0);" \
"}"
// Shader for testing matrixCompMult intrinsic
static SkString make_matrix_comp_mult_sksl(int dim) {
return SkStringPrintf(
"uniform float%dx%d m1;" // dim, dim
"uniform float%dx%d m2;" // dim, dim
SKSL_MATRIX_SELECTORS
"half4 main(float2 p) {"
" float%d colSel = sel%d(p.x);" // dim, dim
" float%d rowSel = sel%d(p.y);" // dim, dim
" float%d col = matrixCompMult(m1, m2) * colSel;" // dim
" float v = dot(col, rowSel);"
" return v.xxx1;"
"}", dim, dim, dim, dim, dim, dim, dim, dim, dim);
}
template <int N>
static void plot_matrix_comp_mult(SkCanvas* canvas,
std::array<float, N*N> mtx1,
std::array<float, N*N> mtx2,
const char* label) {
canvas->save();
draw_label(canvas, label);
auto [effect, error] = SkRuntimeEffect::MakeForShader(make_matrix_comp_mult_sksl(N));
if (!effect) {
SkDebugf("Error: %s\n", error.c_str());
return;
}
SkRuntimeShaderBuilder builder(effect);
builder.uniform("m1") = mtx1;
builder.uniform("m2") = mtx2;
draw_shader(canvas, builder.makeShader(/*localMatrix=*/nullptr, /*isOpaque=*/false));
canvas->restore();
next_column(canvas);
}
// Shader for testing inverse() intrinsic
static SkString make_matrix_inverse_sksl(int dim) {
return SkStringPrintf(
"uniform float scale; uniform float bias;"
"uniform float%dx%d m;" // dim, dim
SKSL_MATRIX_SELECTORS
"half4 main(float2 p) {"
" float%d colSel = sel%d(p.x);" // dim, dim
" float%d rowSel = sel%d(p.y);" // dim, dim
" float%d col = inverse(m) * colSel;" // dim
" float v = dot(col, rowSel) * scale + bias;"
" return v.xxx1;"
"}", dim, dim, dim, dim, dim, dim, dim);
}
template <int N>
static void plot_matrix_inverse(SkCanvas* canvas, std::array<float, N*N> mtx, const char* label) {
canvas->save();
draw_label(canvas, label);
auto [effect, error] = SkRuntimeEffect::MakeForShader(make_matrix_inverse_sksl(N));
if (!effect) {
SkDebugf("Error: %s\n", error.c_str());
return;
}
SkRuntimeShaderBuilder builder(effect);
builder.uniform("scale") = 0.5f;
builder.uniform("bias") = 0.5f;
builder.uniform("m") = mtx;
draw_shader(canvas, builder.makeShader(/*localMatrix=*/nullptr, /*isOpaque=*/false));
canvas->restore();
next_column(canvas);
}
// The OpenGL ES Shading Language, Version 1.00, Section 8.5
DEF_SIMPLE_GM(runtime_intrinsics_matrix,
canvas,
columns_to_width(3),
rows_to_height(2)) {
canvas->translate(kPadding, kPadding);
canvas->save();
// Random pairs of matrices where the elements of matrixCompMult(m1, m2) lie in [0, 1]
plot_matrix_comp_mult<2>(canvas,
{1.00f, 0.0f, 2.0f, 0.5f},
{0.75f, 2.0f, 0.2f, 1.2f},
"compMult(2x2)");
plot_matrix_comp_mult<3>(canvas,
{1.00f, 0.0f, 2.0f, 0.5f, -1.0f, -2.0f, -0.5f, 4.00f, 0.25f},
{0.75f, 2.0f, 0.2f, 1.2f, -0.8f, -0.1f, -1.8f, 0.25f, 2.00f},
"compMult(3x3)");
plot_matrix_comp_mult<4>(canvas,
{1.00f, 0.0f, 2.0f, 0.5f, -1.0f, -2.0f, -0.5f, 4.00f, 0.25f, 0.05f,
10.00f, -0.66f, -1.0f, -0.5f, 0.5f, 0.66f},
{0.75f, 2.0f, 0.2f, 1.2f, -0.8f, -0.1f, -1.8f, 0.25f, 2.00f, 2.00f,
0.03f, -1.00f, -1.0f, -0.5f, 1.7f, 0.66f},
"compMult(4x4)");
next_row(canvas);
// Random, invertible matrices where the elements of inverse(m) lie in [-1, 1]
plot_matrix_inverse<2>(canvas,
{ 1.20f, 0.68f,
-0.27f, -1.55f},
"inverse(2x2)");
plot_matrix_inverse<3>(canvas,
{-1.13f, -2.96f, -0.14f,
1.45f, -1.88f, -1.02f,
-2.54f, -2.58f, -1.17f},
"inverse(3x3)");
plot_matrix_inverse<4>(canvas,
{-1.51f, -3.95f, -0.19f, 1.93f,
-2.51f, -1.35f, -3.39f, -3.45f,
-1.56f, 1.61f, -0.22f, -1.08f,
-2.81f, -2.14f, -0.09f, 3.00f},
"inverse(4x4)");
next_row(canvas);
}
/*
Specialized shader for testing relational operators.
*/
static SkString make_bvec_sksl(const char* type, const char* fn) {
// We use negative floats, to ensure that the integer variants are working with the correct
// interpretation of the data.
return SkStringPrintf(
"uniform %s2 v1;"
"half4 main(float2 p) {"
" p.x = p.x < 0.33 ? -3.0 : (p.x < 0.66 ? -2.0 : -1.0);"
" p.y = p.y < 0.33 ? -3.0 : (p.y < 0.66 ? -2.0 : -1.0);"
" bool2 cmp = %s;"
" return half4(cmp.x ? 1.0 : 0.0, cmp.y ? 1.0 : 0.0, 0, 1);"
"}",
type, fn);
}
template <typename T = float>
static void plot_bvec(SkCanvas* canvas, const char* fn, const char* label) {
canvas->save();
draw_label(canvas, label);
const char* type = std::is_integral<T>::value ? "int" : "float";
auto [effect, error] = SkRuntimeEffect::MakeForShader(make_bvec_sksl(type, fn));
if (!effect) {
SkDebugf("Error: %s\n", error.c_str());
return;
}
T uniformData[2] = { -2, -2 };
sk_sp<SkData> uniforms = SkData::MakeWithCopy(uniformData, sizeof(uniformData));
draw_shader(canvas,
effect->makeShader(uniforms,
/*children=*/nullptr,
/*childCount=*/0,
/*localMatrix=*/nullptr,
/*isOpaque=*/false));
canvas->restore();
next_column(canvas);
}
// The OpenGL ES Shading Language, Version 1.00, Section 8.6
DEF_SIMPLE_GM(runtime_intrinsics_relational,
canvas,
columns_to_width(4),
rows_to_height(6)) {
canvas->translate(kPadding, kPadding);
canvas->save();
plot_bvec<float>(canvas, "lessThan(p, v1)", "lessThan");
plot_bvec<int> (canvas, "lessThan(int2(p), v1)", "lessThan(int)");
plot_bvec<float>(canvas, "lessThanEqual(p, v1)", "lessThanEqual");
plot_bvec<int> (canvas, "lessThanEqual(int2(p), v1)", "lessThanEqual(int)");
next_row(canvas);
plot_bvec<float>(canvas, "greaterThan(p, v1)", "greaterThan");
plot_bvec<int> (canvas, "greaterThan(int2(p), v1)", "greaterThan(int)");
plot_bvec<float>(canvas, "greaterThanEqual(p, v1)", "greaterThanEqual");
plot_bvec<int> (canvas, "greaterThanEqual(int2(p), v1)", "greaterThanEqual(int)");
next_row(canvas);
plot_bvec<float>(canvas, "equal(p, v1)", "equal");
plot_bvec<int> (canvas, "equal(int2(p), v1)", "equal(int)");
plot_bvec<float>(canvas, "notEqual(p, v1)", "notEqual");
plot_bvec<int> (canvas, "notEqual(int2(p), v1)", "notEqual(int)");
next_row(canvas);
plot_bvec(canvas, "equal( lessThanEqual(p, v1), greaterThanEqual(p, v1))", "equal(bvec)");
plot_bvec(canvas, "notEqual(lessThanEqual(p, v1), greaterThanEqual(p, v1))", "notequal(bvec)");
next_row(canvas);
plot_bvec(canvas, "not(notEqual(p, v1))", "not(notEqual)");
plot_bvec(canvas, "not(equal(p, v1))", "not(equal)");
next_row(canvas);
plot_bvec(canvas, "bool2(any(equal(p, v1)))", "any(equal)");
plot_bvec(canvas, "bool2(all(equal(p, v1)))", "all(equal)");
next_row(canvas);
}
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